diff --git a/download.md b/download.md
index fe7a01be7..b1934d7ae 100644
--- a/download.md
+++ b/download.md
@@ -29,7 +29,7 @@ Math.js can be downloaded or linked from various content delivery networks:
   <tbody>
     <tr>
       <td>unpkg</td>
-      <td><a href="https://unpkg.com/mathjs@7.0.1/">https://unpkg.com/mathjs@7.0.1/</a></td>
+      <td><a href="https://unpkg.com/mathjs@7.0.2/">https://unpkg.com/mathjs@7.0.2/</a></td>
     </tr>
     <tr>
       <td>cdnjs</td>
@@ -51,18 +51,18 @@ Here some direct download links from [unpkg](https://unpkg.com):
 <table class="download">
   <tr>
     <td>
-      <a href="https://unpkg.com/mathjs@7.0.1/dist/math.js">
-        Development (version 7.0.1)
+      <a href="https://unpkg.com/mathjs@7.0.2/dist/math.js">
+        Development (version 7.0.2)
       </a>
     </td>
     <td>
-      <span id="development-size">1822 kB</span>, uncompressed with comments
+      <span id="development-size">1823 kB</span>, uncompressed with comments
     </td>
   </tr>
   <tr>
     <td>
-      <a href="https://unpkg.com/mathjs@7.0.1/dist/math.min.js">
-        Production (version 7.0.1)
+      <a href="https://unpkg.com/mathjs@7.0.2/dist/math.min.js">
+        Production (version 7.0.2)
       </a>
     </td>
     <td>
diff --git a/examples/advanced/custom_evaluate_using_factories.js b/examples/advanced/custom_evaluate_using_factories.js
new file mode 100644
index 000000000..e8788453b
--- /dev/null
+++ b/examples/advanced/custom_evaluate_using_factories.js
@@ -0,0 +1,19 @@
+const { create, evaluateDependencies, factory } = require('../..')
+
+// custom implementations of all functions you want to support
+const add = (a, b) => a + b
+const subtract = (a, b) => a - b
+const multiply = (a, b) => a * b
+const divide = (a, b) => a / b
+
+// create factories for the functions, and create an evaluate function with those
+// these functions will also be used by the classes like Unit.
+const { evaluate } = create({
+  evaluateDependencies,
+  createAdd: factory('add', [], () => add),
+  createSubtract: factory('subtract', [], () => subtract),
+  createMultiply: factory('multiply', [], () => multiply),
+  createDivide: factory('divide', [], () => divide)
+})
+
+console.log(evaluate('2 + 3 * 4')) // 14
diff --git a/examples/advanced/custom_evaluate_using_factories.js.md b/examples/advanced/custom_evaluate_using_factories.js.md
new file mode 100644
index 000000000..7a0053128
--- /dev/null
+++ b/examples/advanced/custom_evaluate_using_factories.js.md
@@ -0,0 +1,33 @@
+---
+layout: default
+---
+
+# Custom evaluate using factories
+
+File: [custom_evaluate_using_factories.js](custom_evaluate_using_factories.js)
+
+```js
+const { create, evaluateDependencies, factory } = require('../..')
+
+// custom implementations of all functions you want to support
+const add = (a, b) => a + b
+const subtract = (a, b) => a - b
+const multiply = (a, b) => a * b
+const divide = (a, b) => a / b
+
+// create factories for the functions, and create an evaluate function with those
+// these functions will also be used by the classes like Unit.
+const { evaluate } = create({
+  evaluateDependencies,
+  createAdd: factory('add', [], () => add),
+  createSubtract: factory('subtract', [], () => subtract),
+  createMultiply: factory('multiply', [], () => multiply),
+  createDivide: factory('divide', [], () => divide)
+})
+
+console.log(evaluate('2 + 3 * 4')) // 14
+
+```
+
+<!-- Note: This file is automatically generated. Changes made in this file will be overridden. -->
+
diff --git a/examples/advanced/custom_evaluate_using_import.js b/examples/advanced/custom_evaluate_using_import.js
new file mode 100644
index 000000000..3c486b3be
--- /dev/null
+++ b/examples/advanced/custom_evaluate_using_import.js
@@ -0,0 +1,18 @@
+const { create, evaluateDependencies } = require('../..')
+
+// custom implementations of all functions you want to support
+const add = (a, b) => a + b
+const subtract = (a, b) => a - b
+const multiply = (a, b) => a * b
+const divide = (a, b) => a / b
+
+// create a mathjs instance with hardly any functions
+// there are some functions created which are used internally by evaluate though,
+// for example by the Unit class which has dependencies on addScalar, subtract,
+// multiplyScalar, etc.
+const math = create(evaluateDependencies)
+
+// import your own functions
+math.import({ add, subtract, multiply, divide }, { override: true })
+
+console.log(math.evaluate('2 + 3 * 4')) // 14
diff --git a/examples/advanced/custom_evaluate_using_import.js.md b/examples/advanced/custom_evaluate_using_import.js.md
new file mode 100644
index 000000000..585e78dcb
--- /dev/null
+++ b/examples/advanced/custom_evaluate_using_import.js.md
@@ -0,0 +1,32 @@
+---
+layout: default
+---
+
+# Custom evaluate using import
+
+File: [custom_evaluate_using_import.js](custom_evaluate_using_import.js)
+
+```js
+const { create, evaluateDependencies } = require('../..')
+
+// custom implementations of all functions you want to support
+const add = (a, b) => a + b
+const subtract = (a, b) => a - b
+const multiply = (a, b) => a * b
+const divide = (a, b) => a / b
+
+// create a mathjs instance with hardly any functions
+// there are some functions created which are used internally by evaluate though,
+// for example by the Unit class which has dependencies on addScalar, subtract,
+// multiplyScalar, etc.
+const math = create(evaluateDependencies)
+
+// import your own functions
+math.import({ add, subtract, multiply, divide }, { override: true })
+
+console.log(math.evaluate('2 + 3 * 4')) // 14
+
+```
+
+<!-- Note: This file is automatically generated. Changes made in this file will be overridden. -->
+
diff --git a/examples/browser/angle_configuration.html b/examples/browser/angle_configuration.html
index 774554260..5c6502b1e 100644
--- a/examples/browser/angle_configuration.html
+++ b/examples/browser/angle_configuration.html
@@ -15,7 +15,7 @@
     }
   </style>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/angle_configuration.html.md b/examples/browser/angle_configuration.html.md
index aea782f2d..a6b84cc5d 100644
--- a/examples/browser/angle_configuration.html.md
+++ b/examples/browser/angle_configuration.html.md
@@ -24,7 +24,7 @@ File: [angle_configuration.html](angle_configuration.html) (click for a live dem
     }
   </style>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/basic_usage.html b/examples/browser/basic_usage.html
index 096c530d4..11577b161 100644
--- a/examples/browser/basic_usage.html
+++ b/examples/browser/basic_usage.html
@@ -3,7 +3,7 @@
 <head>
   <meta charset="utf-8">
   <title>math.js | basic usage</title>
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/basic_usage.html.md b/examples/browser/basic_usage.html.md
index 6b1ca8bfa..cd5a28ec0 100644
--- a/examples/browser/basic_usage.html.md
+++ b/examples/browser/basic_usage.html.md
@@ -12,7 +12,7 @@ File: [basic_usage.html](basic_usage.html) (click for a live demo)
 <head>
   <meta charset="utf-8">
   <title>math.js | basic usage</title>
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/currency_conversion.html b/examples/browser/currency_conversion.html
index 86eaa427b..38fc988a1 100644
--- a/examples/browser/currency_conversion.html
+++ b/examples/browser/currency_conversion.html
@@ -4,7 +4,7 @@
   <meta charset="utf-8">
   <title>math.js | currency conversion</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
   <style>
     body,
diff --git a/examples/browser/currency_conversion.html.md b/examples/browser/currency_conversion.html.md
index 4705668f7..bdda28391 100644
--- a/examples/browser/currency_conversion.html.md
+++ b/examples/browser/currency_conversion.html.md
@@ -13,7 +13,7 @@ File: [currency_conversion.html](currency_conversion.html) (click for a live dem
   <meta charset="utf-8">
   <title>math.js | currency conversion</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
   <style>
     body,
diff --git a/examples/browser/custom_separators.html b/examples/browser/custom_separators.html
index d40d16c3b..3c6a995da 100644
--- a/examples/browser/custom_separators.html
+++ b/examples/browser/custom_separators.html
@@ -15,7 +15,7 @@
     }
   </style>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/custom_separators.html.md b/examples/browser/custom_separators.html.md
index 929fc695d..96d160a8f 100644
--- a/examples/browser/custom_separators.html.md
+++ b/examples/browser/custom_separators.html.md
@@ -24,7 +24,7 @@ File: [custom_separators.html](custom_separators.html) (click for a live demo)
     }
   </style>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 </head>
 <body>
 
diff --git a/examples/browser/plot.html b/examples/browser/plot.html
index c4eb7efc7..b205849e2 100644
--- a/examples/browser/plot.html
+++ b/examples/browser/plot.html
@@ -3,7 +3,7 @@
 <head>
   <meta charset="utf-8">
   <title>math.js | plot</title>
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
   <script src="https://cdn.plot.ly/plotly-1.35.2.min.js"></script>
 
diff --git a/examples/browser/plot.html.md b/examples/browser/plot.html.md
index b4b922efe..0df606a4f 100644
--- a/examples/browser/plot.html.md
+++ b/examples/browser/plot.html.md
@@ -12,7 +12,7 @@ File: [plot.html](plot.html) (click for a live demo)
 <head>
   <meta charset="utf-8">
   <title>math.js | plot</title>
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
   <script src="https://cdn.plot.ly/plotly-1.35.2.min.js"></script>
 
diff --git a/examples/browser/pretty_printing_with_mathjax.html b/examples/browser/pretty_printing_with_mathjax.html
index 1885b5210..4661e4997 100644
--- a/examples/browser/pretty_printing_with_mathjax.html
+++ b/examples/browser/pretty_printing_with_mathjax.html
@@ -4,7 +4,7 @@
   <meta charset="utf-8">
   <title>math.js | pretty printing with MathJax</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
   <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.3/MathJax.js?config=TeX-AMS-MML_HTMLorMML.js"></script>
 
   <style>
diff --git a/examples/browser/pretty_printing_with_mathjax.html.md b/examples/browser/pretty_printing_with_mathjax.html.md
index 130ae1bbc..9c9a15891 100644
--- a/examples/browser/pretty_printing_with_mathjax.html.md
+++ b/examples/browser/pretty_printing_with_mathjax.html.md
@@ -13,7 +13,7 @@ File: [pretty_printing_with_mathjax.html](pretty_printing_with_mathjax.html) (cl
   <meta charset="utf-8">
   <title>math.js | pretty printing with MathJax</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
   <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.3/MathJax.js?config=TeX-AMS-MML_HTMLorMML.js"></script>
 
   <style>
diff --git a/examples/browser/printing_html.html b/examples/browser/printing_html.html
index a4a1f16eb..a6dae626f 100644
--- a/examples/browser/printing_html.html
+++ b/examples/browser/printing_html.html
@@ -4,7 +4,7 @@
 	<meta charset="utf-8">
 	<title>math.js | printing HTML</title>
 
-	<script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+	<script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
 	<style>
 		body {
diff --git a/examples/browser/printing_html.html.md b/examples/browser/printing_html.html.md
index 76f045809..0839cb405 100644
--- a/examples/browser/printing_html.html.md
+++ b/examples/browser/printing_html.html.md
@@ -13,7 +13,7 @@ File: [printing_html.html](printing_html.html) (click for a live demo)
 	<meta charset="utf-8">
 	<title>math.js | printing HTML</title>
 
-	<script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+	<script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
 
 	<style>
 		body {
diff --git a/examples/browser/requirejs_loading.html b/examples/browser/requirejs_loading.html
index 7311b8737..9869410f5 100644
--- a/examples/browser/requirejs_loading.html
+++ b/examples/browser/requirejs_loading.html
@@ -9,7 +9,7 @@
 
 <script>
   // load math.js using require.js
-  require(['https://unpkg.com/mathjs@7.0.1/dist/math.min.js'], function (math) {
+  require(['https://unpkg.com/mathjs@7.0.2/dist/math.min.js'], function (math) {
     // evaluate some expression
     const result = math.evaluate('1.2 * (2 + 4.5)')
     document.write(result)
diff --git a/examples/browser/requirejs_loading.html.md b/examples/browser/requirejs_loading.html.md
index 865ad5f51..c6413a440 100644
--- a/examples/browser/requirejs_loading.html.md
+++ b/examples/browser/requirejs_loading.html.md
@@ -18,7 +18,7 @@ File: [requirejs_loading.html](requirejs_loading.html) (click for a live demo)
 
 <script>
   // load math.js using require.js
-  require(['https://unpkg.com/mathjs@7.0.1/dist/math.min.js'], function (math) {
+  require(['https://unpkg.com/mathjs@7.0.2/dist/math.min.js'], function (math) {
     // evaluate some expression
     const result = math.evaluate('1.2 * (2 + 4.5)')
     document.write(result)
diff --git a/examples/browser/rocket_trajectory_optimization.html b/examples/browser/rocket_trajectory_optimization.html
index 83029ece4..f04e81828 100644
--- a/examples/browser/rocket_trajectory_optimization.html
+++ b/examples/browser/rocket_trajectory_optimization.html
@@ -4,7 +4,7 @@
   <meta charset="utf-8">
   <title>math.js | rocket trajectory optimization</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
   <script src="https://cdnjs.cloudflare.com/ajax/libs/Chart.js/2.5.0/Chart.min.js"></script>
 
   <style>
diff --git a/examples/browser/rocket_trajectory_optimization.html.md b/examples/browser/rocket_trajectory_optimization.html.md
index 521d3388d..ec5944d40 100644
--- a/examples/browser/rocket_trajectory_optimization.html.md
+++ b/examples/browser/rocket_trajectory_optimization.html.md
@@ -13,7 +13,7 @@ File: [rocket_trajectory_optimization.html](rocket_trajectory_optimization.html)
   <meta charset="utf-8">
   <title>math.js | rocket trajectory optimization</title>
 
-  <script src="https://unpkg.com/mathjs@7.0.1/dist/math.min.js"></script>
+  <script src="https://unpkg.com/mathjs@7.0.2/dist/math.min.js"></script>
   <script src="https://cdnjs.cloudflare.com/ajax/libs/Chart.js/2.5.0/Chart.min.js"></script>
 
   <style>
diff --git a/examples/browser/webworkers/index.md b/examples/browser/webworkers/index.md
index 60ba26ac8..6683e5d54 100644
--- a/examples/browser/webworkers/index.md
+++ b/examples/browser/webworkers/index.md
@@ -92,7 +92,7 @@ File: [webworkers.html](webworkers.html) (click for a live demo)
 File: [worker.js](worker.js)
 
 ```js
-importScripts('https://unpkg.com/mathjs@7.0.1/dist/math.min.js')
+importScripts('https://unpkg.com/mathjs@7.0.2/dist/math.min.js')
 
 // create a parser
 const parser = self.math.parser()
diff --git a/examples/browser/webworkers/worker.js b/examples/browser/webworkers/worker.js
index 041139c9e..00e485f1f 100644
--- a/examples/browser/webworkers/worker.js
+++ b/examples/browser/webworkers/worker.js
@@ -1,4 +1,4 @@
-importScripts('https://unpkg.com/mathjs@7.0.1/dist/math.min.js')
+importScripts('https://unpkg.com/mathjs@7.0.2/dist/math.min.js')
 
 // create a parser
 const parser = self.math.parser()
diff --git a/examples/index.md b/examples/index.md
index d18d48e84..4069bcacf 100644
--- a/examples/index.md
+++ b/examples/index.md
@@ -36,6 +36,8 @@ layout: default
 - [Convert fraction to bignumber](advanced\convert_fraction_to_bignumber.js.html)
 - [Custom argument parsing](advanced\custom_argument_parsing.js.html)
 - [Custom datatype](advanced\custom_datatype.js.html)
+- [Custom evaluate using factories](advanced\custom_evaluate_using_factories.js.html)
+- [Custom evaluate using import](advanced\custom_evaluate_using_import.js.html)
 - [Custom loading](advanced\custom_loading.js.html)
 - [Custom relational functions](advanced\custom_relational_functions.js.html)
 - [Expression trees](advanced\expression_trees.js.html)
diff --git a/history.md b/history.md
index a4293b457..577bd6a18 100644
--- a/history.md
+++ b/history.md
@@ -4,6 +4,14 @@ layout: default
 
 <h1 id="history">History <a href="#history" title="Permalink">#</a></h1>
 
+<h1 id="20200624-version-702">2020-06-24, version 7.0.2 <a href="#20200624-version-702" title="Permalink">#</a></h1>
+
+- Fix <a href="https://github.com/josdejong/mathjs/issues/1882">#1882</a>: have `DenseMatrix.resize` and `SparseMatrix.resize` accept 
+  `DenseMatrix` and `SparseMatrix` as inputs too, not only `Array`.
+- Fix functions `sum`, `prod`, `min`, and `max` not throwing a conversion error
+  when passing a single string, like `sum("abc")`.
+
+
 <h1 id="20200530-version-701">2020-05-30, version 7.0.1 <a href="#20200530-version-701" title="Permalink">#</a></h1>
 
 - Fix <a href="https://github.com/josdejong/mathjs/issues/1844">#1844</a>: clarify the documentation of function `eigs`. Thanks <a href="https://github.com/Lazersmoke">@Lazersmoke</a>.
diff --git a/js/lib/math.js b/js/lib/math.js
index ddbf8620b..a2cbf41ce 100644
--- a/js/lib/math.js
+++ b/js/lib/math.js
@@ -6,8 +6,8 @@
  * It features real and complex numbers, units, matrices, a large set of
  * mathematical functions, and a flexible expression parser.
  *
- * @version 7.0.1
- * @date    2020-05-30
+ * @version 7.0.2
+ * @date    2020-06-24
  *
  * @license
  * Copyright (C) 2013-2020 Jos de Jong <wjosdejong@gmail.com>
@@ -13795,7 +13795,7 @@ var createDenseMatrixClass = /* #__PURE__ */Object(factory["a" /* factory */])(D
    * `copy=true`, otherwise return the matrix itself (resize in place).
    *
    * @memberof DenseMatrix
-   * @param {number[]} size           The new size the matrix should have.
+   * @param {number[] || Matrix} size The new size the matrix should have.
    * @param {*} [defaultValue=0]      Default value, filled in on new entries.
    *                                  If not provided, the matrix elements will
    *                                  be filled with zeros.
@@ -13807,14 +13807,18 @@ var createDenseMatrixClass = /* #__PURE__ */Object(factory["a" /* factory */])(D
 
   DenseMatrix.prototype.resize = function (size, defaultValue, copy) {
     // validate arguments
-    if (!Object(is["b" /* isArray */])(size)) {
-      throw new TypeError('Array expected');
-    } // matrix to resize
+    if (!Object(is["i" /* isCollection */])(size)) {
+      throw new TypeError('Array or Matrix expected');
+    } // SparseMatrix input is always 2d, flatten this into 1d if it's indeed a vector
 
 
+    var sizeArray = size.valueOf().map(function (value) {
+      return Array.isArray(value) && value.length === 1 ? value[0] : value;
+    }); // matrix to resize
+
     var m = copy ? this.clone() : this; // resize matrix
 
-    return _resize(m, size, defaultValue);
+    return _resize(m, sizeArray, defaultValue);
   };
 
   function _resize(matrix, size, defaultValue) {
@@ -15721,7 +15725,7 @@ var createSparseMatrixClass = /* #__PURE__ */Object(factory["a" /* factory */])(
    * `copy=true`, otherwise return the matrix itself (resize in place).
    *
    * @memberof SparseMatrix
-   * @param {number[]} size           The new size the matrix should have.
+   * @param {number[] | Matrix} size  The new size the matrix should have.
    * @param {*} [defaultValue=0]      Default value, filled in on new entries.
    *                                  If not provided, the matrix elements will
    *                                  be filled with zeros.
@@ -15733,24 +15737,29 @@ var createSparseMatrixClass = /* #__PURE__ */Object(factory["a" /* factory */])(
 
   SparseMatrix.prototype.resize = function (size, defaultValue, copy) {
     // validate arguments
-    if (!Object(is["b" /* isArray */])(size)) {
-      throw new TypeError('Array expected');
-    }
+    if (!Object(is["i" /* isCollection */])(size)) {
+      throw new TypeError('Array or Matrix expected');
+    } // SparseMatrix input is always 2d, flatten this into 1d if it's indeed a vector
 
-    if (size.length !== 2) {
+
+    var sizeArray = size.valueOf().map(function (value) {
+      return Array.isArray(value) && value.length === 1 ? value[0] : value;
+    });
+
+    if (sizeArray.length !== 2) {
       throw new Error('Only two dimensions matrix are supported');
     } // check sizes
 
 
-    size.forEach(function (value) {
+    sizeArray.forEach(function (value) {
       if (!Object(is["y" /* isNumber */])(value) || !Object(utils_number["i" /* isInteger */])(value) || value < 0) {
-        throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + Object(utils_string["d" /* format */])(size) + ')');
+        throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + Object(utils_string["d" /* format */])(sizeArray) + ')');
       }
     }); // matrix to resize
 
     var m = copy ? this.clone() : this; // resize matrix
 
-    return _resize(m, size[0], size[1], defaultValue);
+    return _resize(m, sizeArray[0], sizeArray[1], defaultValue);
   };
 
   function _resize(matrix, rows, columns, defaultValue) {
@@ -26484,10 +26493,12 @@ function improveErrorMessage(err, fnName, value) {
 
 
 var prod_name = 'prod';
-var prod_dependencies = ['typed', 'multiply'];
+var prod_dependencies = ['typed', 'config', 'multiplyScalar', 'numeric'];
 var createProd = /* #__PURE__ */Object(factory["a" /* factory */])(prod_name, prod_dependencies, function (_ref) {
   var typed = _ref.typed,
-      multiply = _ref.multiply;
+      config = _ref.config,
+      multiplyScalar = _ref.multiplyScalar,
+      numeric = _ref.numeric;
 
   /**
    * Compute the product of a matrix or a list with values.
@@ -26538,11 +26549,15 @@ var createProd = /* #__PURE__ */Object(factory["a" /* factory */])(prod_name, pr
     var prod;
     deepForEach(array, function (value) {
       try {
-        prod = prod === undefined ? value : multiply(prod, value);
+        prod = prod === undefined ? value : multiplyScalar(prod, value);
       } catch (err) {
         throw improveErrorMessage(err, 'prod', value);
       }
-    });
+    }); // make sure returning numeric value: parse a string into a numeric value
+
+    if (typeof prod === 'string') {
+      prod = numeric(prod, config.number);
+    }
 
     if (prod === undefined) {
       throw new Error('Cannot calculate prod of an empty array');
@@ -27149,8 +27164,8 @@ var createPow = /* #__PURE__ */Object(factory["a" /* factory */])(pow_name, pow_
             return (yFrac.n % 2 === 0 ? 1 : -1) * Math.pow(-x, y);
           }
         }
-      } catch (ex) {} // fraction() throws an error if y is Infinity, etc.
-      // Unable to express y as a fraction, so continue on
+      } catch (ex) {// fraction() throws an error if y is Infinity, etc.
+      } // Unable to express y as a fraction, so continue on
 
     } // **for predictable mode** x^Infinity === NaN if x < -1
     // N.B. this behavour is different from `Math.pow` which gives
@@ -31010,9 +31025,11 @@ var createSort = /* #__PURE__ */Object(factory["a" /* factory */])(sort_name, so
 
 
 var max_name = 'max';
-var max_dependencies = ['typed', 'larger'];
+var max_dependencies = ['typed', 'config', 'numeric', 'larger'];
 var createMax = /* #__PURE__ */Object(factory["a" /* factory */])(max_name, max_dependencies, function (_ref) {
   var typed = _ref.typed,
+      config = _ref.config,
+      numeric = _ref.numeric,
       larger = _ref.larger;
 
   /**
@@ -31101,6 +31118,11 @@ var createMax = /* #__PURE__ */Object(factory["a" /* factory */])(max_name, max_
 
     if (res === undefined) {
       throw new Error('Cannot calculate max of an empty array');
+    } // make sure returning numeric value: parse a string into a numeric value
+
+
+    if (typeof res === 'string') {
+      res = numeric(res, config.number);
     }
 
     return res;
@@ -31111,9 +31133,11 @@ var createMax = /* #__PURE__ */Object(factory["a" /* factory */])(max_name, max_
 
 
 var min_name = 'min';
-var min_dependencies = ['typed', 'smaller'];
+var min_dependencies = ['typed', 'config', 'numeric', 'smaller'];
 var createMin = /* #__PURE__ */Object(factory["a" /* factory */])(min_name, min_dependencies, function (_ref) {
   var typed = _ref.typed,
+      config = _ref.config,
+      numeric = _ref.numeric,
       smaller = _ref.smaller;
 
   /**
@@ -31202,6 +31226,11 @@ var createMin = /* #__PURE__ */Object(factory["a" /* factory */])(min_name, min_
 
     if (min === undefined) {
       throw new Error('Cannot calculate min of an empty array');
+    } // make sure returning numeric value: parse a string into a numeric value
+
+
+    if (typeof min === 'string') {
+      min = numeric(min, config.number);
     }
 
     return min;
@@ -41960,15 +41989,15 @@ var ConstantNode_createConstantNode = /* #__PURE__ */Object(factory["a" /* facto
    */
 
 
-  ConstantNode.prototype.forEach = function (callback) {} // nothing to do, we don't have childs
-
+  ConstantNode.prototype.forEach = function (callback) {// nothing to do, we don't have childs
+  };
   /**
    * Create a new ConstantNode having it's childs be the results of calling
    * the provided callback function for each of the childs of the original node.
    * @param {function(child: Node, path: string, parent: Node) : Node} callback
    * @returns {ConstantNode} Returns a clone of the node
    */
-  ;
+
 
   ConstantNode.prototype.map = function (callback) {
     return this.clone();
@@ -44260,15 +44289,15 @@ var createSymbolNode = /* #__PURE__ */Object(factory["a" /* factory */])(SymbolN
    */
 
 
-  SymbolNode.prototype.forEach = function (callback) {} // nothing to do, we don't have childs
-
+  SymbolNode.prototype.forEach = function (callback) {// nothing to do, we don't have childs
+  };
   /**
    * Create a new SymbolNode having it's childs be the results of calling
    * the provided callback function for each of the childs of the original node.
    * @param {function(child: Node, path: string, parent: Node) : Node} callback
    * @returns {SymbolNode} Returns a clone of the node
    */
-  ;
+
 
   SymbolNode.prototype.map = function (callback) {
     return this.clone();
@@ -54256,15 +54285,13 @@ var createIntersect = /* #__PURE__ */Object(factory["a" /* factory */])(intersec
 
 
 
-
 var sum_name = 'sum';
-var sum_dependencies = ['typed', 'config', 'add', '?bignumber', '?fraction'];
+var sum_dependencies = ['typed', 'config', 'add', 'numeric'];
 var createSum = /* #__PURE__ */Object(factory["a" /* factory */])(sum_name, sum_dependencies, function (_ref) {
   var typed = _ref.typed,
       config = _ref.config,
       add = _ref.add,
-      bignumber = _ref.bignumber,
-      fraction = _ref.fraction;
+      numeric = _ref.numeric;
 
   /**
    * Compute the sum of a matrix or a list with values.
@@ -54305,7 +54332,7 @@ var createSum = /* #__PURE__ */Object(factory["a" /* factory */])(sum_name, sum_
   });
   /**
    * Recursively calculate the sum of an n-dimensional array
-   * @param {Array} array
+   * @param {Array | Matrix} array
    * @return {number} sum
    * @private
    */
@@ -54318,22 +54345,14 @@ var createSum = /* #__PURE__ */Object(factory["a" /* factory */])(sum_name, sum_
       } catch (err) {
         throw improveErrorMessage(err, 'sum', value);
       }
-    });
+    }); // make sure returning numeric value: parse a string into a numeric value
 
     if (sum === undefined) {
-      switch (config.number) {
-        case 'number':
-          return 0;
+      sum = numeric(0, config.number);
+    }
 
-        case 'BigNumber':
-          return bignumber ? bignumber(0) : noBignumber();
-
-        case 'Fraction':
-          return fraction ? fraction(0) : noFraction();
-
-        default:
-          return 0;
-      }
+    if (typeof sum === 'string') {
+      sum = numeric(sum, config.number);
     }
 
     return sum;
@@ -59524,7 +59543,7 @@ var createReplacer = /* #__PURE__ */Object(factory["a" /* factory */])(replacer_
   };
 });
 // CONCATENATED MODULE: ./src/version.js
-var version = '7.0.1'; // Note: This file is automatically generated when building math.js.
+var version = '7.0.2'; // Note: This file is automatically generated when building math.js.
 // Changes made in this file will be overwritten.
 // CONCATENATED MODULE: ./src/plain/number/constants.js
 var constants_pi = Math.PI;
@@ -60135,12 +60154,16 @@ function map_transform_map(array, callback, orig) {
 
 
 var max_transform_name = 'max';
-var max_transform_dependencies = ['typed', 'larger'];
+var max_transform_dependencies = ['typed', 'config', 'numeric', 'larger'];
 var createMaxTransform = /* #__PURE__ */Object(factory["a" /* factory */])(max_transform_name, max_transform_dependencies, function (_ref) {
   var typed = _ref.typed,
+      config = _ref.config,
+      numeric = _ref.numeric,
       larger = _ref.larger;
   var max = createMax({
     typed: typed,
+    config: config,
+    numeric: numeric,
     larger: larger
   });
   /**
@@ -60227,12 +60250,16 @@ var createMeanTransform = /* #__PURE__ */Object(factory["a" /* factory */])(mean
 
 
 var min_transform_name = 'min';
-var min_transform_dependencies = ['typed', 'smaller'];
+var min_transform_dependencies = ['typed', 'config', 'numeric', 'smaller'];
 var createMinTransform = /* #__PURE__ */Object(factory["a" /* factory */])(min_transform_name, min_transform_dependencies, function (_ref) {
   var typed = _ref.typed,
+      config = _ref.config,
+      numeric = _ref.numeric,
       smaller = _ref.smaller;
   var min = createMin({
     typed: typed,
+    config: config,
+    numeric: numeric,
     smaller: smaller
   });
   /**
@@ -60499,19 +60526,17 @@ var createStdTransform = /* #__PURE__ */Object(factory["a" /* factory */])(std_t
  */
 
 var sum_transform_name = 'sum';
-var sum_transform_dependencies = ['typed', 'config', 'add', '?bignumber', '?fraction'];
+var sum_transform_dependencies = ['typed', 'config', 'add', 'numeric'];
 var createSumTransform = /* #__PURE__ */Object(factory["a" /* factory */])(sum_transform_name, sum_transform_dependencies, function (_ref) {
   var typed = _ref.typed,
       config = _ref.config,
       add = _ref.add,
-      bignumber = _ref.bignumber,
-      fraction = _ref.fraction;
+      numeric = _ref.numeric;
   var sum = createSum({
     typed: typed,
     config: config,
     add: add,
-    bignumber: bignumber,
-    fraction: fraction
+    numeric: numeric
   });
   return typed(sum_transform_name, {
     '...any': function any(args) {
diff --git a/js/lib/math.min.js b/js/lib/math.min.js
index bccc6ee18..4dc130e70 100644
--- a/js/lib/math.min.js
+++ b/js/lib/math.min.js
@@ -6,8 +6,8 @@
  * It features real and complex numbers, units, matrices, a large set of
  * mathematical functions, and a flexible expression parser.
  *
- * @version 7.0.1
- * @date    2020-05-30
+ * @version 7.0.2
+ * @date    2020-06-24
  *
  * @license
  * Copyright (C) 2013-2020 Jos de Jong <wjosdejong@gmail.com>
@@ -39,5 +39,5 @@
  * Copyright (c) 2015, Robert Eisele (robert@xarg.org)
  * Dual licensed under the MIT or GPL Version 2 licenses.
  **/
-!function(){"use strict";var d={s:1,n:0,d:1};function e(t){function e(){var e=Error.apply(this,arguments);e.name=this.name=t,this.stack=e.stack,this.message=e.message}function r(){}return r.prototype=Error.prototype,e.prototype=new r,e}var y=f.DivisionByZero=e("DivisionByZero"),t=f.InvalidParameter=e("InvalidParameter");function g(e,t){return isNaN(e=parseInt(e,10))&&v(),e*t}function v(){throw new t}var n=function(e,t){var r,n=0,i=1,a=1,o=0,s=0,u=0,c=1,f=1,l=0,p=1,m=1,h=1;if(null!=e)if(void 0!==t)a=(n=e)*(i=t);else switch(typeof e){case"object":"d"in e&&"n"in e?(n=e.n,i=e.d,"s"in e&&(n*=e.s)):0 in e?(n=e[0],1 in e&&(i=e[1])):v(),a=n*i;break;case"number":if(e<0&&(e=-(a=e)),e%1==0)n=e;else 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Matrix A ("+a+") must match Matrix B ("+f+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var p,m=a[0],h=a[1],d=0,y=r;"string"==typeof o&&o===l&&(p=o,d=A.convert(0,p),y=A.find(r,[p,p]));for(var g=[],v=0;v<m;v++)g[v]=[];for(var b=[],x=[],w=0;w<h;w++){for(var N=w+1,O=c[w],M=c[w+1],j=O;j<M;j++){var E=u[j];b[E]=n?y(s[j],i[E][w]):y(i[E][w],s[j]),x[E]=N}for(var S=0;S<m;S++)x[S]===N?g[S][w]=b[S]:g[S][w]=n?y(d,i[S][w]):y(i[S][w],d)}return e.createDenseMatrix({data:g,size:[m,h],datatype:p})}}),hr=["typed","equalScalar"],dr=Object(s.a)("algorithm05",hr,function(e){var k=e.typed,B=e.equalScalar;return function(e,t,r){var n=e._values,i=e._index,a=e._ptr,o=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(o.length!==l.length)throw new z.a(o.length,l.length);if(o[0]!==l[0]||o[1]!==l[1])throw new RangeError("Dimension mismatch. 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c=n.map(function(e,t){return e=e.toHTML(r),i[t]&&(e='<span class="math-parenthesis math-round-parenthesis">(</span>'+e+'<span class="math-parenthesis math-round-parenthesis">)</span>'),e});return 2<n.length&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())?this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?c.join('<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'):c.join('<span class="math-operator math-binary-operator math-explicit-binary-operator">'+Object(V.c)(this.op)+"</span>"):'<span class="math-function">'+Object(V.c)(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+c.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'},i.prototype._toTex=function(r){var e=r&&r.parenthesis?r.parenthesis:"keep",t=r&&r.implicit?r.implicit:"hide",n=this.args,i=m(this,e,t,n,!0),a=void 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t=e.Node;function i(e,t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new TypeError("Parameter conditionals must be an array");if(!Array.isArray(t))throw new TypeError("Parameter params must be an array");if(e.length!==t.length-1)throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals");this.conditionals=e,this.params=t}return(i.prototype=new t).type="RelationalNode",i.prototype.isRelationalNode=!0,i.prototype._compile=function(o,t){var s=this,u=this.params.map(function(e){return e._compile(o,t)});return function(e,t,r){for(var n=u[0](e,t,r),i=0;i<s.conditionals.length;i++){var a=n,n=u[i+1](e,t,r);if(!zi(o,s.conditionals[i])(a,n))return!1}return!0}},i.prototype.forEach=function(r){var n=this;this.params.forEach(function(e,t){return r(e,"params["+t+"]",n)},this)},i.prototype.map=function(r){var n=this;return new 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v=a[g][t],b=S(v);T(b,d)&&(h=g,d=b,y=v)}if(t!==h&&(f[t]=[f[h],f[h]=f[t]][0],E._swapRows(t,h,a)),t<r)for(g=t+1;g<r;g++){var x=a[g][t];_(x,0)||(a[g][t]=A(a[g][t],y))}}for(t=0;t<n;t++)for(g=0;g<r;g++)0===t&&(g<n&&(u[g]=[]),o[g]=[]),g<t?(g<n&&(u[g][t]=a[g][t]),t<r&&(o[g][t]=0)):g!==t?(g<n&&(u[g][t]=0),t<r&&(o[g][t]=a[g][t])):(g<n&&(u[g][t]=a[g][t]),t<r&&(o[g][t]=1));var w=new E({data:o,size:s}),N=new E({data:u,size:c}),O=[];for(g=0,i=f.length;g<i;g++)O[f[g]]=g;return{L:w,U:N,p:O,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}});function Wf(){return(Wf=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var Yf=["typed","matrix","zeros","identity","isZero","equal","sign","sqrt","conj","unaryMinus","addScalar","divideScalar","multiplyScalar","subtract","complex"],Xf=Object(s.a)("qr",Yf,function(e){var t=e.typed,r=e.matrix,b=e.zeros,x=e.identity,w=e.isZero,N=e.equal,O=e.sign,M=e.sqrt,j=e.conj,E=e.unaryMinus,S=e.addScalar,A=e.divideScalar,C=e.multiplyScalar,T=e.subtract,o=e.complex;return Wf(t("qr",{DenseMatrix:n,SparseMatrix:function(){throw new Error("qr not implemented for sparse matrices yet")},Array:function(e){var t=n(r(e));return{Q:t.Q.valueOf(),R:t.R.valueOf()}}}),{_denseQRimpl:s});function s(e){for(var t=e._size[0],r=e._size[1],n=x([t],"dense"),i=n._data,a=e.clone(),o=a._data,s=b([t],""),u=0;u<Math.min(r,t);++u){var c=o[u][u],f=E(N(c,0)?1:O(c)),l=j(f),p=0;for(d=u;d<t;d++)p=S(p,C(o[d][u],j(o[d][u])));var m=C(f,M(p));if(!w(m)){for(var h=T(c,m),d=u+(s[u]=1);d<t;d++)s[d]=A(o[d][u],h);for(var y=E(j(A(h,m))),g=void 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o=a._index,s=a._ptr,u=0,c=0;c<r;c++){var f=s[c];if(s[c]=u,!(s[c+1]-f>i))for(var l=s[c+1];f<l;f++)o[u++]=o[f]}return s[r]=u,t=te(a),ee(a,t)}(e,t,n,i,o=Math.min(i-2,o));!function(e,t,r){for(var n=e._values,i=e._index,a=e._ptr,o=e._size[1],s=0,u=0;u<o;u++){var c=a[u];for(a[u]=s;c<a[u+1];c++)t(i[c],u,n?n[c]:1,r)&&(i[s]=i[c],n&&(n[s]=n[c]),s++)}a[o]=s,i.splice(s,i.length-s),n&&n.splice(s,n.length-s)}(s,ne,null);for(var u,c,f,l,p,m,h,d,y,g,v,b,x=s._index,w=s._ptr,N=w[i],O=[],M=[],j=i+1,E=2*(i+1),S=3*(i+1),A=4*(i+1),C=5*(i+1),T=6*(i+1),_=7*(i+1),q=O,I=function(e,t,r,n,i,a,o,s,u,c,f,l){for(var p=0;p<e;p++)r[n+p]=t[p+1]-t[p];for(var m=r[n+e]=0;m<=e;m++)r[i+m]=-1,a[m]=-1,r[o+m]=-1,r[s+m]=-1,r[u+m]=1,r[c+m]=1,r[f+m]=0,r[l+m]=r[n+m];var h=re(0,0,r,c,e);return r[f+e]=-2,t[e]=-1,r[c+e]=0,h}(i,w,M,0,S,q,E,_,j,T,A,C),k=function(e,t,r,n,i,a,o,s,u,c,f){for(var l=0,p=0;p<e;p++){var m,h=r[n+p];0===h?(r[i+p]=-2,l++,t[p]=-1,r[a+p]=0):o<h?(r[s+p]=0,r[i+p]=-1,l++,t[p]=-e-2,r[s+e]++):(-1!==(m=r[u+h])&&(c[m]=p),r[f+p]=r[u+h],r[u+h]=p)}return l}(i,w,M,C,A,T,o,j,S,q,E),B=0;k<i;){for(c=-1;B<i&&-1===(c=M[S+B]);B++);-1!==M[E+c]&&(q[M[E+c]]=-1),M[S+B]=M[E+c];var z=M[A+c],D=M[j+c];k+=D;var R=0;M[j+c]=-D;for(var P,U,F=w[c],L=0===z?F:N,H=L,$=1;$<=z+1;$++){for(p=z<$?(l=F,M[0+(U=c)]-z):(l=w[U=x[F++]],M[0+U]),f=1;f<=p;f++)(m=M[j+(u=x[l++])])<=0||(R+=m,M[j+u]=-m,-1!==M[E+(x[H++]=u)]&&(q[M[E+u]]=q[u]),-1!==q[u]?M[E+q[u]]=M[E+u]:M[S+M[C+u]]=M[E+u]);U!==c&&(w[U]=-c-2,M[T+U]=0)}for(0!==z&&(N=H),M[C+c]=R,w[c]=L,M[0+c]=H-L,M[A+c]=-2,I=re(I,a,M,T,i),h=L;h<H;h++)if(!((d=M[A+(u=x[h])])<=0))for(var G=I-(m=-M[j+u]),F=w[u],Z=w[u]+d-1;F<=Z;F++)M[T+(U=x[F])]>=I?M[T+U]-=m:0!==M[T+U]&&(M[T+U]=M[C+U]+G);for(h=L;h<H;h++){for(y=(Z=w[u=x[h]])+M[A+u]-1,b=v=0,F=g=Z;F<=y;F++){0!==M[T+(U=x[F])]&&(0<(P=M[T+U]-I)?(b+=P,v+=x[g++]=U):(w[U]=-c-2,M[T+U]=0))}M[A+u]=g-Z+1;var V=g,J=Z+M[0+u];for(F=1+y;F<J;F++){var 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i,a,o,s,u,c,f=e._size,l=f[0],p=f[1],m=4*p+(n?p+l+1:0),h=[],d=p,y=2*p,g=3*p,v=4*p,b=5*p+1,x=0;x<m;x++)h[x]=-1;var w=[],N=E(e),O=N._index,M=N._ptr;for(x=0;x<p;x++)for(w[a=r[x]]=-1===h[g+a]?1:0;-1!==a&&-1===h[g+a];a=t[a])h[g+a]=x;if(n){for(x=0;x<p;x++)h[r[x]]=x;for(i=0;i<l;i++){for(x=p,u=M[i],c=M[i+1],s=u;s<c;s++)x=Math.min(x,h[O[s]]);h[b+i]=h[v+x],h[v+x]=i}}for(i=0;i<p;i++)h[0+i]=i;for(x=0;x<p;x++){for(-1!==t[a=r[x]]&&w[t[a]]--,o=n?h[v+x]:a;-1!==o;o=n?h[b+o]:-1)for(s=M[o];s<M[o+1];s++){var j=function(e,t,r,n,i,a,o){var s,u,c,f=0;if(e<=t||r[n+t]<=r[i+e])return-1;r[i+e]=r[n+t];var l=r[a+e];if(r[a+e]=t,-1===l)f=1,c=e;else{for(f=2,c=l;c!==r[o+c];c=r[o+c]);for(s=l;s!==c;s=u)u=r[o+s],r[o+s]=c}return{jleaf:f,q:c}}(i=O[s],a,h,g,d,y,0);1<=j.jleaf&&w[a]++,2===j.jleaf&&w[j.q]--}-1!==t[a]&&(h[0+a]=t[a])}for(a=0;a<p;a++)-1!==t[a]&&(w[t[a]]+=w[a]);return w}}),nl=["add","multiply","transpose"],il=Object(s.a)("csSqr",nl,function(e){var t=e.add,r=e.multiply,n=e.transpose,c=el({add:t,multiply:r,transpose:n}),f=rl({transpose:n});return function(e,t,r){var n,i=t._ptr,a=t._size[1],o={};if(o.q=c(e,t),e&&!o.q)return null;if(r){var s=e?function(e,t,r,n){for(var i=e._values,a=e._index,o=e._ptr,s=e._size,u=e._datatype,c=s[0],f=s[1],l=n&&e._values?[]:null,p=[],m=[],h=0,d=0;d<f;d++){m[d]=h;for(var y=r?r[d]:d,g=o[y],v=o[y+1],b=g;b<v;b++){var x=t?t[a[b]]:a[b];p[h]=x,l&&(l[h]=i[b]),h++}}return m[f]=h,e.createSparseMatrix({values:l,index:p,ptr:m,size:[c,f],datatype:u})}(t,null,o.q,0):t;o.parent=function(e,t){if(!e)return null;var r,n=e._index,i=e._ptr,a=e._size,o=a[0],s=a[1],u=[],c=[],f=s;if(t)for(y=0;y<o;y++)c[f+y]=-1;for(var l=0;l<s;l++){u[l]=-1,c[0+l]=-1;for(var p=i[l],m=i[l+1],h=p;h<m;h++){for(var d=n[h],y=t?c[f+d]:d;-1!==y&&y<l;y=r)r=c[0+y],c[0+y]=l,-1===r&&(u[y]=l);t&&(c[f+d]=l)}}return u}(s,1);var u=function(e,t){if(!e)return null;for(var r=0,n=[],i=[],a=t,o=2*t,s=0;s<t;s++)i[0+s]=-1;for(s=t-1;0<=s;s--)-1!==e[s]&&(i[a+s]=i[0+e[s]],i[0+e[s]]=s);for(s=0;s<t;s++)-1===e[s]&&(r=Qf(s,r,i,0,a,n,o));return n}(o.parent,a);if(o.cp=f(s,o.parent,u,1),s&&o.parent&&o.cp&&function(e,t){var r=e._ptr,n=e._index,i=e._size,a=i[0],o=i[1];t.pinv=[],t.leftmost=[];var s,u,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,d=[],y=a,g=a+o,v=a+2*o;for(u=0;u<o;u++)d[y+u]=-1,d[g+u]=-1,d[v+u]=0;for(s=0;s<a;s++)h[s]=-1;for(u=o-1;0<=u;u--)for(f=r[u],l=r[u+1],c=f;c<l;c++)h[n[c]]=u;for(s=a-1;0<=s;s--)(m[s]=-1)!==(u=h[s])&&(0==d[v+u]++&&(d[g+u]=s),d[0+s]=d[y+u],d[y+u]=s);for(t.lnz=0,t.m2=a,u=0;u<o;u++){var b;s=d[y+u],t.lnz++,s<0&&(s=t.m2++),m[s]=u,--v[u]<=0||(t.lnz+=d[v+u],-1!==(b=p[u])&&(0===d[v+b]&&(d[g+b]=d[g+u]),d[0+d[g+u]]=d[y+b],d[y+b]=d[0+s],d[v+b]+=d[v+u]))}for(s=0;s<a;s++)m[s]<0&&(m[s]=u++);return!0}(s,o))for(n=o.unz=0;n<a;n++)o.unz+=o.cp[n]}else o.unz=4*i[a]+a,o.lnz=o.unz;return o}});function al(e,t){return e[t]<0}function ol(e,t){e[t]=-e[t]-2}function 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vacuum",examples:["speedOfLight"]},gravitationConstant:{description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},planckConstant:{description:"Planck constant",examples:["planckConstant"]},reducedPlanckConstant:{description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},magneticConstant:{description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},electricConstant:{description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},vacuumImpedance:{description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},coulomb:{description:"Coulomb's constant",examples:["coulomb"]},elementaryCharge:{description:"Elementary charge",examples:["elementaryCharge"]},bohrMagneton:{description:"Borh magneton",examples:["bohrMagneton"]},conductanceQuantum:{description:"Conductance quantum",examples:["conductanceQuantum"]},inverseConductanceQuantum:{description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},magneticFluxQuantum:{description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},nuclearMagneton:{description:"Nuclear magneton",examples:["nuclearMagneton"]},klitzing:{description:"Von Klitzing constant",examples:["klitzing"]},bohrRadius:{description:"Borh radius",examples:["bohrRadius"]},classicalElectronRadius:{description:"Classical electron radius",examples:["classicalElectronRadius"]},electronMass:{description:"Electron mass",examples:["electronMass"]},fermiCoupling:{description:"Fermi coupling constant",examples:["fermiCoupling"]},fineStructure:{description:"Fine-structure constant",examples:["fineStructure"]},hartreeEnergy:{description:"Hartree energy",examples:["hartreeEnergy"]},protonMass:{description:"Proton mass",examples:["protonMass"]},deuteronMass:{description:"Deuteron Mass",examples:["deuteronMass"]},neutronMass:{description:"Neutron mass",examples:["neutronMass"]},quantumOfCirculation:{description:"Quantum of circulation",examples:["quantumOfCirculation"]},rydberg:{description:"Rydberg constant",examples:["rydberg"]},thomsonCrossSection:{description:"Thomson cross section",examples:["thomsonCrossSection"]},weakMixingAngle:{description:"Weak mixing angle",examples:["weakMixingAngle"]},efimovFactor:{description:"Efimov factor",examples:["efimovFactor"]},atomicMass:{description:"Atomic mass constant",examples:["atomicMass"]},avogadro:{description:"Avogadro's number",examples:["avogadro"]},boltzmann:{description:"Boltzmann constant",examples:["boltzmann"]},faraday:{description:"Faraday constant",examples:["faraday"]},firstRadiation:{description:"First radiation constant",examples:["firstRadiation"]},loschmidt:{description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},gasConstant:{description:"Gas constant",examples:["gasConstant"]},molarPlanckConstant:{description:"Molar Planck constant",examples:["molarPlanckConstant"]},molarVolume:{description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},sackurTetrode:{description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},secondRadiation:{description:"Second radiation constant",examples:["secondRadiation"]},stefanBoltzmann:{description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},wienDisplacement:{description:"Wien displacement law constant",examples:["wienDisplacement"]},molarMass:{description:"Molar mass constant",examples:["molarMass"]},molarMassC12:{description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},gravity:{description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},planckLength:{description:"Planck length",examples:["planckLength"]},planckMass:{description:"Planck mass",examples:["planckMass"]},planckTime:{description:"Planck time",examples:["planckTime"]},planckCharge:{description:"Planck charge",examples:["planckCharge"]},planckTemperature:{description:"Planck temperature",examples:["planckTemperature"]},derivative:{name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]},lsolve:{name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Solves the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lup","lusolve","usolve","matrix","sparse"]},lup:{name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]},lusolve:{name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]},simplify:{name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["derivative","parse","evaluate"]},rationalize:{name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. 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Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]},usolve:{name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Solves the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["lup","lusolve","lsolve","matrix","sparse"]},qr:{name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]},abs:{name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]},add:{name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]},cbrt:{name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]},ceil:{name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]},cube:{name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]},divide:{name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]},dotDivide:{name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]},dotMultiply:{name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]},dotPow:{name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]},exp:{name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]},expm:{name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]},expm1:{name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]},fix:{name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]},floor:{name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]},gcd:{name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]},hypot:{name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]},lcm:{name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]},log:{name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]},log2:{name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]},log1p:{name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]},log10:{name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]},mod:{name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]},multiply:{name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]},norm:{name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']},nthRoot:{name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]},nthRoots:{name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]},pow:{name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]},round:{name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]},sign:{name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},sqrt:{name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]},sqrtm:{name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]},square:{name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},subtract:{name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},unaryMinus:{name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]},unaryPlus:{name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]},xgcd:{name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]},bitAnd:{name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitNot:{name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitOr:{name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]},bitXor:{name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]},leftShift:{name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]},rightArithShift:{name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]},rightLogShift:{name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]},bellNumbers:{name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]},catalan:{name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]},composition:{name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]},stirlingS2:{name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]},config:{name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]},import:{name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]},typed:{name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number, number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]},arg:{name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]},conj:{name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]},re:{name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]},im:{name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]},evaluate:{name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(" + 4 + ")")'],seealso:[]},help:{name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]},distance:{name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]},intersect:{name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]},and:{name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]},not:{name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]},or:{name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]},xor:{name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]},concat:{name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},cross:{name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]},column:{name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row"]},ctranspose:{name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},det:{name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diag:{name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},dot:{name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]},getMatrixDataType:{name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]},identity:{name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},filter:{name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]},flatten:{name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]},forEach:{name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]},inv:{name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]},eigs:{name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and eigenvectors of a real symmetric matrix",examples:["eigs([[5, 2.3], [2.3, 1]])"],seealso:["inv"]},kron:{name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]},map:{name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]},ones:{name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]},partitionSelect:{name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]},range:{name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]},resize:{name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]},reshape:{name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])"],seealso:["size","squeeze","resize"]},row:{name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column"]},size:{name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]},sort:{name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]},squeeze:{name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]},subset:{name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]},trace:{name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]},transpose:{name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},zeros:{name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]},combinations:{name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]},combinationsWithRep:{name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]},factorial:{name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]},gamma:{name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]},kldivergence:{name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]},multinomial:{name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]},permutations:{name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]},pickRandom:{name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]},random:{name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]},randomInt:{name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]},compare:{name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]},compareNatural:{name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]},compareText:{name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]},deepEqual:{name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]},equal:{name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]},equalText:{name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]},larger:{name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]},largerEq:{name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]},smaller:{name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]},smallerEq:{name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]},unequal:{name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]},setCartesian:{name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]},setDifference:{name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]},setDistinct:{name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]},setIntersect:{name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]},setIsSubset:{name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]},setMultiplicity:{name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]},setPowerset:{name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]},setSize:{name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]},setSymDifference:{name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]},setUnion:{name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]},erf:{name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]},mad:{name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]},max:{name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]},mean:{name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]},median:{name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]},min:{name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]},mode:{name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]},prod:{name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]},quantileSeq:{name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]},std:{name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]},sum:{name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]},variance:{name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, normalization)"],description:'Compute the variance of all values. 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Use function bignumber(x) to convert to BigNumber.");return new r(e)}},{from:"number",to:"Complex",convert:function(e){return n||f(e),new n(e,0)}},{from:"number",to:"string",convert:function(e){return e+""}},{from:"BigNumber",to:"Complex",convert:function(e){return n||f(e),new n(e.toNumber(),0)}},{from:"Fraction",to:"BigNumber",convert:function(){throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.")}},{from:"Fraction",to:"Complex",convert:function(e){return n||f(e),new n(e.valueOf(),0)}},{from:"number",to:"Fraction",convert:function(e){i||l(e);var t=new i(e);if(t.valueOf()!==e)throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: "+e+"). Use function fraction(x) to convert to Fraction.");return t}},{from:"string",to:"number",convert:function(e){var t=Number(e);if(isNaN(t))throw new Error('Cannot convert "'+e+'" to a number');return t}},{from:"string",to:"BigNumber",convert:function(t){r||c(t);try{return new r(t)}catch(e){throw new Error('Cannot convert "'+t+'" to BigNumber')}}},{from:"string",to:"Fraction",convert:function(t){i||l(t);try{return new i(t)}catch(e){throw new Error('Cannot convert "'+t+'" to Fraction')}}},{from:"string",to:"Complex",convert:function(t){n||f(t);try{return new n(t)}catch(e){throw new Error('Cannot convert "'+t+'" to Complex')}}},{from:"boolean",to:"number",convert:function(e){return+e}},{from:"boolean",to:"BigNumber",convert:function(e){return r||c(e),new r(+e)}},{from:"boolean",to:"Fraction",convert:function(e){return i||l(e),new i(+e)}},{from:"boolean",to:"string",convert:function(e){return String(e)}},{from:"Array",to:"Matrix",convert:function(e){return t||function(){throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided")}(),new t(e)}},{from:"Matrix",to:"Array",convert:function(e){return e.valueOf()}}],a});function c(e){throw new Error("Cannot convert value ".concat(e," into a BigNumber: no class 'BigNumber' provided"))}function f(e){throw new Error("Cannot convert value ".concat(e," into a Complex number: no class 'Complex' provided"))}function l(e){throw new Error("Cannot convert value ".concat(e," into a Fraction, no class 'Fraction' provided."))}var p=[],m=Object(s.a)("ResultSet",p,function(){function t(e){if(!(this instanceof t))throw new SyntaxError("Constructor must be called with the new operator");this.entries=e||[]}return t.prototype.type="ResultSet",t.prototype.isResultSet=!0,t.prototype.valueOf=function(){return this.entries},t.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},t.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},t.fromJSON=function(e){return new t(e.entries)},t},{isClass:!0}),h=r(15),d=r.n(h),y=["?on","config"],g=Object(s.a)("BigNumber",y,function(e){var t=e.on,r=e.config,n=d.a.clone({precision:r.precision});return n.prototype.type="BigNumber",n.prototype.isBigNumber=!0,n.prototype.toJSON=function(){return{mathjs:"BigNumber",value:this.toString()}},n.fromJSON=function(e){return new n(e.value)},t&&t("config",function(e,t){e.precision!==t.precision&&n.config({precision:e.precision})}),n},{isClass:!0}),v=r(8),b=r.n(v);function x(e){return(x="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}var w=[],N=Object(s.a)("Complex",w,function(){return b.a.prototype.type="Complex",b.a.prototype.isComplex=!0,b.a.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},b.a.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},b.a.prototype.format=function(e){var t,r=this.im,n=this.re,i=Object(E.h)(this.re,e),a=Object(E.h)(this.im,e),o=Object(ie.y)(e)?e:e?e.precision:null;return null!==o&&(t=Math.pow(10,-o),Math.abs(n/r)<t&&(n=0),Math.abs(r/n)<t&&(r=0)),0===r?i:0===n?1===r?"i":-1===r?"-i":a+"i":r<0?-1===r?i+" - i":i+" - "+a.substring(1)+"i":1===r?i+" + i":i+" + "+a+"i"},b.a.fromPolar=function(e){switch(arguments.length){case 1:var t=e;if("object"===x(t))return b()(t);throw new TypeError("Input has to be an object with r and phi keys.");case 2:var r=e,n=arguments[1];if(Object(ie.y)(r)){if(Object(ie.L)(n)&&n.hasBase("ANGLE")&&(n=n.toNumber("rad")),Object(ie.y)(n))return new b.a({r:r,phi:n});throw new TypeError("Phi is not a number nor an angle unit.")}throw new TypeError("Radius r is not a number.");default:throw new SyntaxError("Wrong number of arguments in function fromPolar")}},b.a.prototype.valueOf=b.a.prototype.toString,b.a.fromJSON=function(e){return new b.a(e)},b.a.compare=function(e,t){return e.re>t.re?1:e.re<t.re?-1:e.im>t.im?1:e.im<t.im?-1:0},b.a},{isClass:!0}),O=r(10),M=r.n(O),j=[],S=Object(s.a)("Fraction",j,function(){return M.a.prototype.type="Fraction",M.a.prototype.isFraction=!0,M.a.prototype.toJSON=function(){return{mathjs:"Fraction",n:this.s*this.n,d:this.d}},M.a.fromJSON=function(e){return new M.a(e)},M.a},{isClass:!0}),A=[],C=Object(s.a)("Range",A,function(){function o(e,t,r){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");var n=null!=e,i=null!=t,a=null!=r;if(n)if(Object(ie.e)(e))e=e.toNumber();else if("number"!=typeof e)throw new TypeError("Parameter start must be a number");if(i)if(Object(ie.e)(t))t=t.toNumber();else if("number"!=typeof t)throw new TypeError("Parameter end must be a 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0<e?0<this.step?this.start+(e-1)*this.step:this.start:void 0},o.prototype.forEach=function(e){var t=this.start,r=this.step,n=this.end,i=0;if(0<r)for(;t<n;)e(t,[i],this),t+=r,i++;else if(r<0)for(;n<t;)e(t,[i],this),t+=r,i++},o.prototype.map=function(n){var i=[];return this.forEach(function(e,t,r){i[t[0]]=n(e,t,r)}),i},o.prototype.toArray=function(){var r=[];return this.forEach(function(e,t){r[t[0]]=e}),r},o.prototype.valueOf=function(){return this.toArray()},o.prototype.format=function(e){var t=Object(E.h)(this.start,e);return 1!==this.step&&(t+=":"+Object(E.h)(this.step,e)),t+=":"+Object(E.h)(this.end,e)},o.prototype.toString=function(){return this.format()},o.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},o.fromJSON=function(e){return new o(e.start,e.end,e.step)},o},{isClass:!0}),T=[],_=Object(s.a)("Matrix",T,function(){function e(){if(!(this instanceof e))throw new SyntaxError("Constructor must be called with the new operator")}return e.prototype.type="Matrix",e.prototype.isMatrix=!0,e.prototype.storage=function(){throw new Error("Cannot invoke storage on a Matrix interface")},e.prototype.datatype=function(){throw new Error("Cannot invoke datatype on a Matrix interface")},e.prototype.create=function(e,t){throw new Error("Cannot invoke create on a Matrix interface")},e.prototype.subset=function(e,t,r){throw new Error("Cannot invoke subset on a Matrix interface")},e.prototype.get=function(e){throw new Error("Cannot invoke get on a Matrix interface")},e.prototype.set=function(e,t,r){throw new Error("Cannot invoke set on a Matrix interface")},e.prototype.resize=function(e,t){throw new Error("Cannot invoke resize on a Matrix interface")},e.prototype.reshape=function(e,t){throw new Error("Cannot invoke reshape on a Matrix interface")},e.prototype.clone=function(){throw new Error("Cannot invoke clone on a Matrix interface")},e.prototype.size=function(){throw new Error("Cannot invoke size on a Matrix interface")},e.prototype.map=function(e,t){throw new Error("Cannot invoke map on a Matrix interface")},e.prototype.forEach=function(e){throw new Error("Cannot invoke forEach on a Matrix interface")},e.prototype.toArray=function(){throw new Error("Cannot invoke toArray on a Matrix interface")},e.prototype.valueOf=function(){throw new Error("Cannot invoke valueOf on a Matrix interface")},e.prototype.format=function(e){throw new Error("Cannot invoke format on a Matrix interface")},e.prototype.toString=function(){throw new Error("Cannot invoke toString on a Matrix interface")},e},{isClass:!0}),q=r(2),V=r(5),ae=r(3),z=r(6),I=["Matrix"],k=Object(s.a)("DenseMatrix",I,function(e){var t=e.Matrix;function m(e,t){if(!(this instanceof m))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!Object(ie.I)(t))throw new Error("Invalid datatype: "+t);if(Object(ie.v)(e))"DenseMatrix"===e.type?(this._data=Object(ae.a)(e._data),this._size=Object(ae.a)(e._size)):(this._data=e.toArray(),this._size=e.size()),this._datatype=t||e._datatype;else if(e&&Object(ie.b)(e.data)&&Object(ie.b)(e.size))this._data=e.data,this._size=e.size,Object(q.p)(this._data,this._size),this._datatype=t||e.datatype;else if(Object(ie.b)(e))this._data=function e(t){for(var r=0,n=t.length;r<n;r++){var i=t[r];Object(ie.b)(i)?t[r]=e(i):i&&!0===i.isMatrix&&(t[r]=e(i.valueOf()))}return t}(e),this._size=Object(q.a)(this._data),Object(q.p)(this._data,this._size),this._datatype=t;else{if(e)throw new TypeError("Unsupported type of data ("+Object(ie.M)(e)+")");this._data=[],this._size=[0],this._datatype=t}}function s(e,t,r){if(0!==t.length)return e._size=t.slice(0),e._data=Object(q.m)(e._data,e._size,r),e;for(var n=e._data;Object(ie.b)(n);)n=n[0];return n}function l(e,t,r){for(var n=e._size.slice(0),i=!1;n.length<t.length;)n.push(0),i=!0;for(var a=0,o=t.length;a<o;a++)t[a]>n[a]&&(n[a]=t[a],i=!0);i&&s(e,n,r)}return(m.prototype=new t).createDenseMatrix=function(e,t){return new m(e,t)},m.prototype.type="DenseMatrix",m.prototype.isDenseMatrix=!0,m.prototype.getDataType=function(){return Object(q.h)(this._data,ie.M)},m.prototype.storage=function(){return"dense"},m.prototype.datatype=function(){return this._datatype},m.prototype.create=function(e,t){return new m(e,t)},m.prototype.subset=function(e,t,r){switch(arguments.length){case 1:return function(e,t){if(!Object(ie.t)(t))throw new TypeError("Invalid index");{if(t.isScalar())return e.get(t.min());var r=t.size();if(r.length!==e._size.length)throw new z.a(r.length,e._size.length);for(var n=t.min(),i=t.max(),a=0,o=e._size.length;a<o;a++)Object(q.q)(n[a],e._size[a]),Object(q.q)(i[a],e._size[a]);return new m(function r(n,i,a,o){var e=o===a-1;var t=i.dimension(o);return e?t.map(function(e){return Object(q.q)(e,n.length),n[e]}).valueOf():t.map(function(e){Object(q.q)(e,n.length);var 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TypeError("Array expected");if(e.length!==this._size.length)throw new z.a(e.length,this._size.length);for(var t=0;t<e.length;t++)Object(q.q)(e[t],this._size[t]);for(var r=this._data,n=0,i=e.length;n<i;n++){var a=e[n];Object(q.q)(a,r.length),r=r[a]}return r},m.prototype.set=function(e,t,r){if(!Object(ie.b)(e))throw new TypeError("Array expected");if(e.length<this._size.length)throw new z.a(e.length,this._size.length,"<");var n;l(this,e.map(function(e){return e+1}),r);for(var i=this._data,a=0,o=e.length-1;a<o;a++)n=e[a],Object(q.q)(n,i.length),i=i[n];return n=e[e.length-1],Object(q.q)(n,i.length),i[n]=t,this},m.prototype.resize=function(e,t,r){if(!Object(ie.i)(e))throw new TypeError("Array or Matrix expected");var n=e.valueOf().map(function(e){return Array.isArray(e)&&1===e.length?e[0]:e});return s(r?this.clone():this,n,t)},m.prototype.reshape=function(e,t){var r=t?this.clone():this;return r._data=Object(q.l)(r._data,e),r._size=e.slice(0),r},m.prototype.clone=function(){return new m({data:Object(ae.a)(this._data),size:Object(ae.a)(this._size),datatype:this._datatype})},m.prototype.size=function(){return this._size.slice(0)},m.prototype.map=function(t){var i=this,e=function r(e,n){return Object(ie.b)(e)?e.map(function(e,t){return r(e,n.concat(t))}):t(e,n,i)}(this._data,[]);return new m(e,void 0!==this._datatype?Object(q.h)(e,ie.M):void 0)},m.prototype.forEach=function(t){var i=this;!function r(e,n){Object(ie.b)(e)?e.forEach(function(e,t){r(e,n.concat(t))}):t(e,n,i)}(this._data,[])},m.prototype.toArray=function(){return Object(ae.a)(this._data)},m.prototype.valueOf=function(){return this._data},m.prototype.format=function(e){return Object(V.d)(this._data,e)},m.prototype.toString=function(){return Object(V.d)(this._data)},m.prototype.toJSON=function(){return{mathjs:"DenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},m.prototype.diagonal=function(e){if(e){if(Object(ie.e)(e)&&(e=e.toNumber()),!Object(ie.y)(e)||!Object(E.i)(e))throw new TypeError("The parameter k must be an integer number")}else e=0;for(var t=0<e?e:0,r=e<0?-e:0,n=this._size[0],i=this._size[1],a=Math.min(n-r,i-t),o=[],s=0;s<a;s++)o[s]=this._data[s+r][s+t];return new m({data:o,size:[a],datatype:this._datatype})},m.diagonal=function(e,t,r,n){if(!Object(ie.b)(e))throw new TypeError("Array expected, size parameter");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");if(e=e.map(function(e){if(Object(ie.e)(e)&&(e=e.toNumber()),!Object(ie.y)(e)||!Object(E.i)(e)||e<1)throw new Error("Size values must be positive integers");return e}),r){if(Object(ie.e)(r)&&(r=r.toNumber()),!Object(ie.y)(r)||!Object(E.i)(r))throw new TypeError("The parameter k must be an integer number")}else r=0;var i,a=0<r?r:0,o=r<0?-r:0,s=e[0],u=e[1],c=Math.min(s-o,u-a);if(Object(ie.b)(t)){if(t.length!==c)throw new Error("Invalid value array length");i=function(e){return t[e]}}else if(Object(ie.v)(t)){var f=t.size();if(1!==f.length||f[0]!==c)throw new Error("Invalid 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Matrix A ("+a+") must match Matrix B ("+f+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var p,m=a[0],h=a[1],d=0,y=r;"string"==typeof o&&o===l&&(p=o,d=A.convert(0,p),y=A.find(r,[p,p]));for(var g=[],v=0;v<m;v++)g[v]=[];for(var b=[],x=[],w=0;w<h;w++){for(var N=w+1,O=c[w],M=c[w+1],j=O;j<M;j++){var E=u[j];b[E]=n?y(s[j],i[E][w]):y(i[E][w],s[j]),x[E]=N}for(var S=0;S<m;S++)x[S]===N?g[S][w]=b[S]:g[S][w]=n?y(d,i[S][w]):y(i[S][w],d)}return e.createDenseMatrix({data:g,size:[m,h],datatype:p})}}),hr=["typed","equalScalar"],dr=Object(s.a)("algorithm05",hr,function(e){var k=e.typed,B=e.equalScalar;return function(e,t,r){var n=e._values,i=e._index,a=e._ptr,o=e._size,s=e._datatype,u=t._values,c=t._index,f=t._ptr,l=t._size,p=t._datatype;if(o.length!==l.length)throw new z.a(o.length,l.length);if(o[0]!==l[0]||o[1]!==l[1])throw new RangeError("Dimension mismatch. 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c=n.map(function(e,t){return e=e.toHTML(r),i[t]&&(e='<span class="math-parenthesis math-round-parenthesis">(</span>'+e+'<span class="math-parenthesis math-round-parenthesis">)</span>'),e});return 2<n.length&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())?this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===t?c.join('<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'):c.join('<span class="math-operator math-binary-operator math-explicit-binary-operator">'+Object(V.c)(this.op)+"</span>"):'<span class="math-function">'+Object(V.c)(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+c.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'},i.prototype._toTex=function(r){var e=r&&r.parenthesis?r.parenthesis:"keep",t=r&&r.implicit?r.implicit:"hide",n=this.args,i=m(this,e,t,n,!0),a=void 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t=e.Node;function i(e,t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new TypeError("Parameter conditionals must be an array");if(!Array.isArray(t))throw new TypeError("Parameter params must be an array");if(e.length!==t.length-1)throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals");this.conditionals=e,this.params=t}return(i.prototype=new t).type="RelationalNode",i.prototype.isRelationalNode=!0,i.prototype._compile=function(o,t){var s=this,u=this.params.map(function(e){return e._compile(o,t)});return function(e,t,r){for(var n=u[0](e,t,r),i=0;i<s.conditionals.length;i++){var a=n,n=u[i+1](e,t,r);if(!zi(o,s.conditionals[i])(a,n))return!1}return!0}},i.prototype.forEach=function(r){var n=this;this.params.forEach(function(e,t){return r(e,"params["+t+"]",n)},this)},i.prototype.map=function(r){var n=this;return new 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v=a[g][t],b=S(v);T(b,d)&&(h=g,d=b,y=v)}if(t!==h&&(f[t]=[f[h],f[h]=f[t]][0],E._swapRows(t,h,a)),t<r)for(g=t+1;g<r;g++){var x=a[g][t];_(x,0)||(a[g][t]=A(a[g][t],y))}}for(t=0;t<n;t++)for(g=0;g<r;g++)0===t&&(g<n&&(u[g]=[]),o[g]=[]),g<t?(g<n&&(u[g][t]=a[g][t]),t<r&&(o[g][t]=0)):g!==t?(g<n&&(u[g][t]=0),t<r&&(o[g][t]=a[g][t])):(g<n&&(u[g][t]=a[g][t]),t<r&&(o[g][t]=1));var w=new E({data:o,size:s}),N=new E({data:u,size:c}),O=[];for(g=0,i=f.length;g<i;g++)O[f[g]]=g;return{L:w,U:N,p:O,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}});function Wf(){return(Wf=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e}).apply(this,arguments)}var Yf=["typed","matrix","zeros","identity","isZero","equal","sign","sqrt","conj","unaryMinus","addScalar","divideScalar","multiplyScalar","subtract","complex"],Xf=Object(s.a)("qr",Yf,function(e){var t=e.typed,r=e.matrix,b=e.zeros,x=e.identity,w=e.isZero,N=e.equal,O=e.sign,M=e.sqrt,j=e.conj,E=e.unaryMinus,S=e.addScalar,A=e.divideScalar,C=e.multiplyScalar,T=e.subtract,o=e.complex;return Wf(t("qr",{DenseMatrix:n,SparseMatrix:function(){throw new Error("qr not implemented for sparse matrices yet")},Array:function(e){var t=n(r(e));return{Q:t.Q.valueOf(),R:t.R.valueOf()}}}),{_denseQRimpl:s});function s(e){for(var t=e._size[0],r=e._size[1],n=x([t],"dense"),i=n._data,a=e.clone(),o=a._data,s=b([t],""),u=0;u<Math.min(r,t);++u){var c=o[u][u],f=E(N(c,0)?1:O(c)),l=j(f),p=0;for(d=u;d<t;d++)p=S(p,C(o[d][u],j(o[d][u])));var m=C(f,M(p));if(!w(m)){for(var h=T(c,m),d=u+(s[u]=1);d<t;d++)s[d]=A(o[d][u],h);for(var y=E(j(A(h,m))),g=void 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o=a._index,s=a._ptr,u=0,c=0;c<r;c++){var f=s[c];if(s[c]=u,!(s[c+1]-f>i))for(var l=s[c+1];f<l;f++)o[u++]=o[f]}return s[r]=u,t=te(a),ee(a,t)}(e,t,n,i,o=Math.min(i-2,o));!function(e,t,r){for(var n=e._values,i=e._index,a=e._ptr,o=e._size[1],s=0,u=0;u<o;u++){var c=a[u];for(a[u]=s;c<a[u+1];c++)t(i[c],u,n?n[c]:1,r)&&(i[s]=i[c],n&&(n[s]=n[c]),s++)}a[o]=s,i.splice(s,i.length-s),n&&n.splice(s,n.length-s)}(s,ne,null);for(var u,c,f,l,p,m,h,d,y,g,v,b,x=s._index,w=s._ptr,N=w[i],O=[],M=[],j=i+1,E=2*(i+1),S=3*(i+1),A=4*(i+1),C=5*(i+1),T=6*(i+1),_=7*(i+1),q=O,I=function(e,t,r,n,i,a,o,s,u,c,f,l){for(var p=0;p<e;p++)r[n+p]=t[p+1]-t[p];for(var m=r[n+e]=0;m<=e;m++)r[i+m]=-1,a[m]=-1,r[o+m]=-1,r[s+m]=-1,r[u+m]=1,r[c+m]=1,r[f+m]=0,r[l+m]=r[n+m];var h=re(0,0,r,c,e);return r[f+e]=-2,t[e]=-1,r[c+e]=0,h}(i,w,M,0,S,q,E,_,j,T,A,C),k=function(e,t,r,n,i,a,o,s,u,c,f){for(var l=0,p=0;p<e;p++){var m,h=r[n+p];0===h?(r[i+p]=-2,l++,t[p]=-1,r[a+p]=0):o<h?(r[s+p]=0,r[i+p]=-1,l++,t[p]=-e-2,r[s+e]++):(-1!==(m=r[u+h])&&(c[m]=p),r[f+p]=r[u+h],r[u+h]=p)}return l}(i,w,M,C,A,T,o,j,S,q,E),B=0;k<i;){for(c=-1;B<i&&-1===(c=M[S+B]);B++);-1!==M[E+c]&&(q[M[E+c]]=-1),M[S+B]=M[E+c];var z=M[A+c],D=M[j+c];k+=D;var R=0;M[j+c]=-D;for(var P,U,F=w[c],L=0===z?F:N,H=L,$=1;$<=z+1;$++){for(p=z<$?(l=F,M[0+(U=c)]-z):(l=w[U=x[F++]],M[0+U]),f=1;f<=p;f++)(m=M[j+(u=x[l++])])<=0||(R+=m,M[j+u]=-m,-1!==M[E+(x[H++]=u)]&&(q[M[E+u]]=q[u]),-1!==q[u]?M[E+q[u]]=M[E+u]:M[S+M[C+u]]=M[E+u]);U!==c&&(w[U]=-c-2,M[T+U]=0)}for(0!==z&&(N=H),M[C+c]=R,w[c]=L,M[0+c]=H-L,M[A+c]=-2,I=re(I,a,M,T,i),h=L;h<H;h++)if(!((d=M[A+(u=x[h])])<=0))for(var G=I-(m=-M[j+u]),F=w[u],Z=w[u]+d-1;F<=Z;F++)M[T+(U=x[F])]>=I?M[T+U]-=m:0!==M[T+U]&&(M[T+U]=M[C+U]+G);for(h=L;h<H;h++){for(y=(Z=w[u=x[h]])+M[A+u]-1,b=v=0,F=g=Z;F<=y;F++){0!==M[T+(U=x[F])]&&(0<(P=M[T+U]-I)?(b+=P,v+=x[g++]=U):(w[U]=-c-2,M[T+U]=0))}M[A+u]=g-Z+1;var V=g,J=Z+M[0+u];for(F=1+y;F<J;F++){var 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i,a,o,s,u,c,f=e._size,l=f[0],p=f[1],m=4*p+(n?p+l+1:0),h=[],d=p,y=2*p,g=3*p,v=4*p,b=5*p+1,x=0;x<m;x++)h[x]=-1;var w=[],N=E(e),O=N._index,M=N._ptr;for(x=0;x<p;x++)for(w[a=r[x]]=-1===h[g+a]?1:0;-1!==a&&-1===h[g+a];a=t[a])h[g+a]=x;if(n){for(x=0;x<p;x++)h[r[x]]=x;for(i=0;i<l;i++){for(x=p,u=M[i],c=M[i+1],s=u;s<c;s++)x=Math.min(x,h[O[s]]);h[b+i]=h[v+x],h[v+x]=i}}for(i=0;i<p;i++)h[0+i]=i;for(x=0;x<p;x++){for(-1!==t[a=r[x]]&&w[t[a]]--,o=n?h[v+x]:a;-1!==o;o=n?h[b+o]:-1)for(s=M[o];s<M[o+1];s++){var j=function(e,t,r,n,i,a,o){var s,u,c,f=0;if(e<=t||r[n+t]<=r[i+e])return-1;r[i+e]=r[n+t];var l=r[a+e];if(r[a+e]=t,-1===l)f=1,c=e;else{for(f=2,c=l;c!==r[o+c];c=r[o+c]);for(s=l;s!==c;s=u)u=r[o+s],r[o+s]=c}return{jleaf:f,q:c}}(i=O[s],a,h,g,d,y,0);1<=j.jleaf&&w[a]++,2===j.jleaf&&w[j.q]--}-1!==t[a]&&(h[0+a]=t[a])}for(a=0;a<p;a++)-1!==t[a]&&(w[t[a]]+=w[a]);return w}}),nl=["add","multiply","transpose"],il=Object(s.a)("csSqr",nl,function(e){var t=e.add,r=e.multiply,n=e.transpose,c=el({add:t,multiply:r,transpose:n}),f=rl({transpose:n});return function(e,t,r){var n,i=t._ptr,a=t._size[1],o={};if(o.q=c(e,t),e&&!o.q)return null;if(r){var s=e?function(e,t,r,n){for(var i=e._values,a=e._index,o=e._ptr,s=e._size,u=e._datatype,c=s[0],f=s[1],l=n&&e._values?[]:null,p=[],m=[],h=0,d=0;d<f;d++){m[d]=h;for(var y=r?r[d]:d,g=o[y],v=o[y+1],b=g;b<v;b++){var x=t?t[a[b]]:a[b];p[h]=x,l&&(l[h]=i[b]),h++}}return m[f]=h,e.createSparseMatrix({values:l,index:p,ptr:m,size:[c,f],datatype:u})}(t,null,o.q,0):t;o.parent=function(e,t){if(!e)return null;var r,n=e._index,i=e._ptr,a=e._size,o=a[0],s=a[1],u=[],c=[],f=s;if(t)for(y=0;y<o;y++)c[f+y]=-1;for(var l=0;l<s;l++){u[l]=-1,c[0+l]=-1;for(var p=i[l],m=i[l+1],h=p;h<m;h++){for(var d=n[h],y=t?c[f+d]:d;-1!==y&&y<l;y=r)r=c[0+y],c[0+y]=l,-1===r&&(u[y]=l);t&&(c[f+d]=l)}}return u}(s,1);var u=function(e,t){if(!e)return null;for(var r=0,n=[],i=[],a=t,o=2*t,s=0;s<t;s++)i[0+s]=-1;for(s=t-1;0<=s;s--)-1!==e[s]&&(i[a+s]=i[0+e[s]],i[0+e[s]]=s);for(s=0;s<t;s++)-1===e[s]&&(r=Qf(s,r,i,0,a,n,o));return n}(o.parent,a);if(o.cp=f(s,o.parent,u,1),s&&o.parent&&o.cp&&function(e,t){var r=e._ptr,n=e._index,i=e._size,a=i[0],o=i[1];t.pinv=[],t.leftmost=[];var s,u,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,d=[],y=a,g=a+o,v=a+2*o;for(u=0;u<o;u++)d[y+u]=-1,d[g+u]=-1,d[v+u]=0;for(s=0;s<a;s++)h[s]=-1;for(u=o-1;0<=u;u--)for(f=r[u],l=r[u+1],c=f;c<l;c++)h[n[c]]=u;for(s=a-1;0<=s;s--)(m[s]=-1)!==(u=h[s])&&(0==d[v+u]++&&(d[g+u]=s),d[0+s]=d[y+u],d[y+u]=s);for(t.lnz=0,t.m2=a,u=0;u<o;u++){var b;s=d[y+u],t.lnz++,s<0&&(s=t.m2++),m[s]=u,--v[u]<=0||(t.lnz+=d[v+u],-1!==(b=p[u])&&(0===d[v+b]&&(d[g+b]=d[g+u]),d[0+d[g+u]]=d[y+b],d[y+b]=d[0+s],d[v+b]+=d[v+u]))}for(s=0;s<a;s++)m[s]<0&&(m[s]=u++);return!0}(s,o))for(n=o.unz=0;n<a;n++)o.unz+=o.cp[n]}else o.unz=4*i[a]+a,o.lnz=o.unz;return o}});function al(e,t){e[t]=-e[t]-2}function ol(e){return e<0?-e-2:e}function 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Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. 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vacuum",examples:["speedOfLight"]},gravitationConstant:{description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},planckConstant:{description:"Planck constant",examples:["planckConstant"]},reducedPlanckConstant:{description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},magneticConstant:{description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},electricConstant:{description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},vacuumImpedance:{description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},coulomb:{description:"Coulomb's constant",examples:["coulomb"]},elementaryCharge:{description:"Elementary charge",examples:["elementaryCharge"]},bohrMagneton:{description:"Borh magneton",examples:["bohrMagneton"]},conductanceQuantum:{description:"Conductance quantum",examples:["conductanceQuantum"]},inverseConductanceQuantum:{description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},magneticFluxQuantum:{description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},nuclearMagneton:{description:"Nuclear magneton",examples:["nuclearMagneton"]},klitzing:{description:"Von Klitzing constant",examples:["klitzing"]},bohrRadius:{description:"Borh radius",examples:["bohrRadius"]},classicalElectronRadius:{description:"Classical electron radius",examples:["classicalElectronRadius"]},electronMass:{description:"Electron mass",examples:["electronMass"]},fermiCoupling:{description:"Fermi coupling constant",examples:["fermiCoupling"]},fineStructure:{description:"Fine-structure constant",examples:["fineStructure"]},hartreeEnergy:{description:"Hartree energy",examples:["hartreeEnergy"]},protonMass:{description:"Proton mass",examples:["protonMass"]},deuteronMass:{description:"Deuteron Mass",examples:["deuteronMass"]},neutronMass:{description:"Neutron mass",examples:["neutronMass"]},quantumOfCirculation:{description:"Quantum of circulation",examples:["quantumOfCirculation"]},rydberg:{description:"Rydberg constant",examples:["rydberg"]},thomsonCrossSection:{description:"Thomson cross section",examples:["thomsonCrossSection"]},weakMixingAngle:{description:"Weak mixing angle",examples:["weakMixingAngle"]},efimovFactor:{description:"Efimov factor",examples:["efimovFactor"]},atomicMass:{description:"Atomic mass constant",examples:["atomicMass"]},avogadro:{description:"Avogadro's number",examples:["avogadro"]},boltzmann:{description:"Boltzmann constant",examples:["boltzmann"]},faraday:{description:"Faraday constant",examples:["faraday"]},firstRadiation:{description:"First radiation constant",examples:["firstRadiation"]},loschmidt:{description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},gasConstant:{description:"Gas constant",examples:["gasConstant"]},molarPlanckConstant:{description:"Molar Planck constant",examples:["molarPlanckConstant"]},molarVolume:{description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},sackurTetrode:{description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},secondRadiation:{description:"Second radiation constant",examples:["secondRadiation"]},stefanBoltzmann:{description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},wienDisplacement:{description:"Wien displacement law constant",examples:["wienDisplacement"]},molarMass:{description:"Molar mass constant",examples:["molarMass"]},molarMassC12:{description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},gravity:{description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},planckLength:{description:"Planck length",examples:["planckLength"]},planckMass:{description:"Planck mass",examples:["planckMass"]},planckTime:{description:"Planck time",examples:["planckTime"]},planckCharge:{description:"Planck charge",examples:["planckCharge"]},planckTemperature:{description:"Planck temperature",examples:["planckTemperature"]},derivative:{name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]},lsolve:{name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Solves the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lup","lusolve","usolve","matrix","sparse"]},lup:{name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]},lusolve:{name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]},simplify:{name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["derivative","parse","evaluate"]},rationalize:{name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]},slu:{name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]},usolve:{name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Solves the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["lup","lusolve","lsolve","matrix","sparse"]},qr:{name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]},abs:{name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]},add:{name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]},cbrt:{name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]},ceil:{name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]},cube:{name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]},divide:{name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]},dotDivide:{name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]},dotMultiply:{name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]},dotPow:{name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]},exp:{name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]},expm:{name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]},expm1:{name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]},fix:{name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]},floor:{name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]},gcd:{name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]},hypot:{name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]},lcm:{name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]},log:{name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]},log2:{name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]},log1p:{name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]},log10:{name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]},mod:{name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]},multiply:{name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]},norm:{name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']},nthRoot:{name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]},nthRoots:{name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]},pow:{name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]},round:{name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]},sign:{name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},sqrt:{name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]},sqrtm:{name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]},square:{name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},subtract:{name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},unaryMinus:{name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]},unaryPlus:{name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]},xgcd:{name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]},bitAnd:{name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitNot:{name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitOr:{name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]},bitXor:{name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]},leftShift:{name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]},rightArithShift:{name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]},rightLogShift:{name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]},bellNumbers:{name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]},catalan:{name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]},composition:{name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]},stirlingS2:{name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]},config:{name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]},import:{name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]},typed:{name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number, number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]},arg:{name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]},conj:{name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]},re:{name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]},im:{name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]},evaluate:{name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(" + 4 + ")")'],seealso:[]},help:{name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]},distance:{name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]},intersect:{name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]},and:{name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]},not:{name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]},or:{name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]},xor:{name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]},concat:{name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},cross:{name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]},column:{name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row"]},ctranspose:{name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},det:{name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diag:{name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},dot:{name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]},getMatrixDataType:{name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]},identity:{name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},filter:{name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]},flatten:{name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]},forEach:{name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]},inv:{name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]},eigs:{name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and eigenvectors of a real symmetric matrix",examples:["eigs([[5, 2.3], [2.3, 1]])"],seealso:["inv"]},kron:{name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]},map:{name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]},ones:{name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]},partitionSelect:{name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]},range:{name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]},resize:{name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]},reshape:{name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])"],seealso:["size","squeeze","resize"]},row:{name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column"]},size:{name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]},sort:{name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]},squeeze:{name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]},subset:{name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]},trace:{name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]},transpose:{name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},zeros:{name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]},combinations:{name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]},combinationsWithRep:{name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]},factorial:{name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]},gamma:{name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]},kldivergence:{name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]},multinomial:{name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]},permutations:{name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]},pickRandom:{name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]},random:{name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]},randomInt:{name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]},compare:{name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]},compareNatural:{name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]},compareText:{name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]},deepEqual:{name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]},equal:{name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]},equalText:{name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]},larger:{name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]},largerEq:{name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]},smaller:{name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]},smallerEq:{name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]},unequal:{name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]},setCartesian:{name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]},setDifference:{name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]},setDistinct:{name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]},setIntersect:{name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]},setIsSubset:{name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]},setMultiplicity:{name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]},setPowerset:{name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]},setSize:{name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]},setSymDifference:{name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]},setUnion:{name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]},erf:{name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]},mad:{name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]},max:{name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]},mean:{name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]},median:{name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]},min:{name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]},mode:{name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]},prod:{name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]},quantileSeq:{name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]},std:{name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]},sum:{name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]},variance:{name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, normalization)"],description:'Compute the variance of all values. 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diff --git a/js/lib/math.min.map b/js/lib/math.min.map
index 414b64fdd..a5cd49543 100644
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\ No newline at end of file
diff --git a/package-lock.json b/package-lock.json
index efaa4814b..c23135b35 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -2319,9 +2319,9 @@
       }
     },
     "mathjs": {
-      "version": "7.0.1",
-      "resolved": "https://registry.npmjs.org/mathjs/-/mathjs-7.0.1.tgz",
-      "integrity": "sha512-ikFnvtvui8EA1KC+RsF7Sse34WA7EGsKnwwv7/lTRx04t25JtWpVWrs0ZcNKxygZVrOIpU9MRgbvXEFYFV3pOQ==",
+      "version": "7.0.2",
+      "resolved": "https://registry.npmjs.org/mathjs/-/mathjs-7.0.2.tgz",
+      "integrity": "sha512-+/HTkdie4Sek66mjcclk2cgTyVgFfykutk5PGspbtZHUBbS3lOeiM8/Ax7P6nQlz1KoellFAU/kGO4q7Yv1sZA==",
       "requires": {
         "complex.js": "^2.0.11",
         "decimal.js": "^10.2.0",
diff --git a/package.json b/package.json
index 59577a5db..9ea36550f 100644
--- a/package.json
+++ b/package.json
@@ -6,7 +6,7 @@
     "url": "https://github.com/josdejong/mathjs.git"
   },
   "dependencies": {
-    "mathjs": "7.0.1"
+    "mathjs": "7.0.2"
   },
   "devDependencies": {
     "fancy-log": "1.3.3",