841 lines
50 KiB
HTML
841 lines
50 KiB
HTML
|
<!DOCTYPE html>
|
|||
|
|
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"><head>
|
|||
|
|
|
|||
|
|
<meta charset="utf-8">
|
|||
|
|
<meta name="generator" content="quarto-1.0.32">
|
|||
|
|
|
|||
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
|
|||
|
|
|
|||
|
|
|
|||
|
|
<title>Calculus with Julia - 67 Julia interfaces</title>
|
|||
|
|
<style>
|
|||
|
|
code{white-space: pre-wrap;}
|
|||
|
|
span.smallcaps{font-variant: small-caps;}
|
|||
|
|
span.underline{text-decoration: underline;}
|
|||
|
|
div.column{display: inline-block; vertical-align: top; width: 50%;}
|
|||
|
|
div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}
|
|||
|
|
ul.task-list{list-style: none;}
|
|||
|
|
pre > code.sourceCode { white-space: pre; position: relative; }
|
|||
|
|
pre > code.sourceCode > span { display: inline-block; line-height: 1.25; }
|
|||
|
|
pre > code.sourceCode > span:empty { height: 1.2em; }
|
|||
|
|
.sourceCode { overflow: visible; }
|
|||
|
|
code.sourceCode > span { color: inherit; text-decoration: inherit; }
|
|||
|
|
div.sourceCode { margin: 1em 0; }
|
|||
|
|
pre.sourceCode { margin: 0; }
|
|||
|
|
@media screen {
|
|||
|
|
div.sourceCode { overflow: auto; }
|
|||
|
|
}
|
|||
|
|
@media print {
|
|||
|
|
pre > code.sourceCode { white-space: pre-wrap; }
|
|||
|
|
pre > code.sourceCode > span { text-indent: -5em; padding-left: 5em; }
|
|||
|
|
}
|
|||
|
|
pre.numberSource code
|
|||
|
|
{ counter-reset: source-line 0; }
|
|||
|
|
pre.numberSource code > span
|
|||
|
|
{ position: relative; left: -4em; counter-increment: source-line; }
|
|||
|
|
pre.numberSource code > span > a:first-child::before
|
|||
|
|
{ content: counter(source-line);
|
|||
|
|
position: relative; left: -1em; text-align: right; vertical-align: baseline;
|
|||
|
|
border: none; display: inline-block;
|
|||
|
|
-webkit-touch-callout: none; -webkit-user-select: none;
|
|||
|
|
-khtml-user-select: none; -moz-user-select: none;
|
|||
|
|
-ms-user-select: none; user-select: none;
|
|||
|
|
padding: 0 4px; width: 4em;
|
|||
|
|
color: #aaaaaa;
|
|||
|
|
}
|
|||
|
|
pre.numberSource { margin-left: 3em; border-left: 1px solid #aaaaaa; padding-left: 4px; }
|
|||
|
|
div.sourceCode
|
|||
|
|
{ }
|
|||
|
|
@media screen {
|
|||
|
|
pre > code.sourceCode > span > a:first-child::before { text-decoration: underline; }
|
|||
|
|
}
|
|||
|
|
code span.al { color: #ff0000; font-weight: bold; } /* Alert */
|
|||
|
|
code span.an { color: #60a0b0; font-weight: bold; font-style: italic; } /* Annotation */
|
|||
|
|
code span.at { color: #7d9029; } /* Attribute */
|
|||
|
|
code span.bn { color: #40a070; } /* BaseN */
|
|||
|
|
code span.bu { } /* BuiltIn */
|
|||
|
|
code span.cf { color: #007020; font-weight: bold; } /* ControlFlow */
|
|||
|
|
code span.ch { color: #4070a0; } /* Char */
|
|||
|
|
code span.cn { color: #880000; } /* Constant */
|
|||
|
|
code span.co { color: #60a0b0; font-style: italic; } /* Comment */
|
|||
|
|
code span.cv { color: #60a0b0; font-weight: bold; font-style: italic; } /* CommentVar */
|
|||
|
|
code span.do { color: #ba2121; font-style: italic; } /* Documentation */
|
|||
|
|
code span.dt { color: #902000; } /* DataType */
|
|||
|
|
code span.dv { color: #40a070; } /* DecVal */
|
|||
|
|
code span.er { color: #ff0000; font-weight: bold; } /* Error */
|
|||
|
|
code span.ex { } /* Extension */
|
|||
|
|
code span.fl { color: #40a070; } /* Float */
|
|||
|
|
code span.fu { color: #06287e; } /* Function */
|
|||
|
|
code span.im { } /* Import */
|
|||
|
|
code span.in { color: #60a0b0; font-weight: bold; font-style: italic; } /* Information */
|
|||
|
|
code span.kw { color: #007020; font-weight: bold; } /* Keyword */
|
|||
|
|
code span.op { color: #666666; } /* Operator */
|
|||
|
|
code span.ot { color: #007020; } /* Other */
|
|||
|
|
code span.pp { color: #bc7a00; } /* Preprocessor */
|
|||
|
|
code span.sc { color: #4070a0; } /* SpecialChar */
|
|||
|
|
code span.ss { color: #bb6688; } /* SpecialString */
|
|||
|
|
code span.st { color: #4070a0; } /* String */
|
|||
|
|
code span.va { color: #19177c; } /* Variable */
|
|||
|
|
code span.vs { color: #4070a0; } /* VerbatimString */
|
|||
|
|
code span.wa { color: #60a0b0; font-weight: bold; font-style: italic; } /* Warning */
|
|||
|
|
</style>
|
|||
|
|
|
|||
|
|
|
|||
|
|
<script src="../site_libs/quarto-nav/quarto-nav.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-nav/headroom.min.js"></script>
|
|||
|
|
<script src="../site_libs/clipboard/clipboard.min.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-search/autocomplete.umd.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-search/fuse.min.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-search/quarto-search.js"></script>
|
|||
|
|
<meta name="quarto:offset" content="../">
|
|||
|
|
<link href="../misc/calculus_with_julia.html" rel="next">
|
|||
|
|
<link href="../misc/getting_started_with_julia.html" rel="prev">
|
|||
|
|
<script src="../site_libs/quarto-html/quarto.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-html/popper.min.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-html/tippy.umd.min.js"></script>
|
|||
|
|
<script src="../site_libs/quarto-html/anchor.min.js"></script>
|
|||
|
|
<link href="../site_libs/quarto-html/tippy.css" rel="stylesheet">
|
|||
|
|
<link href="../site_libs/quarto-html/quarto-syntax-highlighting.css" rel="stylesheet" id="quarto-text-highlighting-styles">
|
|||
|
|
<script src="../site_libs/bootstrap/bootstrap.min.js"></script>
|
|||
|
|
<link href="../site_libs/bootstrap/bootstrap-icons.css" rel="stylesheet">
|
|||
|
|
<link href="../site_libs/bootstrap/bootstrap.min.css" rel="stylesheet" id="quarto-bootstrap" data-mode="light">
|
|||
|
|
<script id="quarto-search-options" type="application/json">{
|
|||
|
|
"location": "navbar",
|
|||
|
|
"copy-button": false,
|
|||
|
|
"collapse-after": 3,
|
|||
|
|
"panel-placement": "end",
|
|||
|
|
"type": "overlay",
|
|||
|
|
"limit": 20,
|
|||
|
|
"language": {
|
|||
|
|
"search-no-results-text": "No results",
|
|||
|
|
"search-matching-documents-text": "matching documents",
|
|||
|
|
"search-copy-link-title": "Copy link to search",
|
|||
|
|
"search-hide-matches-text": "Hide additional matches",
|
|||
|
|
"search-more-match-text": "more match in this document",
|
|||
|
|
"search-more-matches-text": "more matches in this document",
|
|||
|
|
"search-clear-button-title": "Clear",
|
|||
|
|
"search-detached-cancel-button-title": "Cancel",
|
|||
|
|
"search-submit-button-title": "Submit"
|
|||
|
|
}
|
|||
|
|
}</script>
|
|||
|
|
<script async="" src="https://hypothes.is/embed.js"></script>
|
|||
|
|
|
|||
|
|
<script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml-full.js" type="text/javascript"></script>
|
|||
|
|
|
|||
|
|
</head>
|
|||
|
|
|
|||
|
|
<body class="nav-sidebar floating nav-fixed">
|
|||
|
|
|
|||
|
|
<div id="quarto-search-results"></div>
|
|||
|
|
<header id="quarto-header" class="headroom fixed-top">
|
|||
|
|
<nav class="navbar navbar-expand-lg navbar-dark ">
|
|||
|
|
<div class="navbar-container container-fluid">
|
|||
|
|
<a class="navbar-brand" href="../index.html">
|
|||
|
|
<img src="../logo.png" alt="">
|
|||
|
|
<span class="navbar-title">Calculus with Julia</span>
|
|||
|
|
</a>
|
|||
|
|
<div id="quarto-search" class="" title="Search"></div>
|
|||
|
|
</div> <!-- /container-fluid -->
|
|||
|
|
</nav>
|
|||
|
|
<nav class="quarto-secondary-nav" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar" aria-controls="quarto-sidebar" aria-expanded="false" aria-label="Toggle sidebar navigation" onclick="if (window.quartoToggleHeadroom) { window.quartoToggleHeadroom(); }">
|
|||
|
|
<div class="container-fluid d-flex justify-content-between">
|
|||
|
|
<h1 class="quarto-secondary-nav-title"><span class="chapter-number">67</span> <span class="chapter-title">Julia interfaces</span></h1>
|
|||
|
|
<button type="button" class="quarto-btn-toggle btn" aria-label="Show secondary navigation">
|
|||
|
|
<i class="bi bi-chevron-right"></i>
|
|||
|
|
</button>
|
|||
|
|
</div>
|
|||
|
|
</nav>
|
|||
|
|
</header>
|
|||
|
|
<!-- content -->
|
|||
|
|
<div id="quarto-content" class="quarto-container page-columns page-rows-contents page-layout-article page-navbar">
|
|||
|
|
<!-- sidebar -->
|
|||
|
|
<nav id="quarto-sidebar" class="sidebar collapse sidebar-navigation floating overflow-auto">
|
|||
|
|
<div class="mt-2 flex-shrink-0 align-items-center">
|
|||
|
|
<div class="sidebar-search">
|
|||
|
|
<div id="quarto-search" class="" title="Search"></div>
|
|||
|
|
</div>
|
|||
|
|
</div>
|
|||
|
|
<div class="sidebar-menu-container">
|
|||
|
|
<ul class="list-unstyled mt-1">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../index.html" class="sidebar-item-text sidebar-link">Preface</a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="false">Precalculus Concepts</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-1" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-1" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/calculator.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">1</span> <span class="chapter-title">From calculator to computer</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/variables.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">2</span> <span class="chapter-title">Variables</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/numbers_types.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">3</span> <span class="chapter-title">Number systems</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/logical_expressions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">4</span> <span class="chapter-title">Inequalities, Logical expressions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/vectors.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">5</span> <span class="chapter-title">Vectors</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/ranges.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">6</span> <span class="chapter-title">Ranges and Sets</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">7</span> <span class="chapter-title">Functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/plotting.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">8</span> <span class="chapter-title">The Graph of a Function</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/transformations.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">9</span> <span class="chapter-title">Function manipulations</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/inversefunctions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">10</span> <span class="chapter-title">The Inverse of a Function</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/polynomial.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">11</span> <span class="chapter-title">Polynomials</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/polynomial_roots.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">12</span> <span class="chapter-title">Roots of a polynomial</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/polynomials_package.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">13</span> <span class="chapter-title">The Polynomials package</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/rational_functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">14</span> <span class="chapter-title">Rational functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/exp_log_functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">15</span> <span class="chapter-title">Exponential and logarithmic functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/trig_functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">16</span> <span class="chapter-title">Trigonometric functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../precalc/julia_overview.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">17</span> <span class="chapter-title">Overview of Julia commands</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-2" aria-expanded="false">Limits</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-2" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-2" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../limits/limits.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">18</span> <span class="chapter-title">Limits</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../limits/limits_extensions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">19</span> <span class="chapter-title">Limits, issues, extensions of the concept</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../limits/continuity.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">20</span> <span class="chapter-title">Continuity</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../limits/intermediate_value_theorem.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">21</span> <span class="chapter-title">Implications of continuity</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-3" aria-expanded="false">Derivatives</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-3" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-3" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/derivatives.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">22</span> <span class="chapter-title">Derivatives</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/numeric_derivatives.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">23</span> <span class="chapter-title">Numeric derivatives</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/symbolic_derivatives.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">24</span> <span class="chapter-title">Symbolic derivatives</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/mean_value_theorem.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">25</span> <span class="chapter-title">The mean value theorem for differentiable functions.</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/optimization.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">26</span> <span class="chapter-title">Optimization</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/first_second_derivatives.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">27</span> <span class="chapter-title">The first and second derivatives</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/curve_sketching.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">28</span> <span class="chapter-title">Curve Sketching</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/linearization.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">29</span> <span class="chapter-title">Linearization</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/newtons_method.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">30</span> <span class="chapter-title">Newton’s method</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/more_zeros.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">31</span> <span class="chapter-title">Derivative-free alternatives to Newton’s method</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/lhospitals_rule.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">32</span> <span class="chapter-title">L’Hospital’s Rule</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/implicit_differentiation.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">33</span> <span class="chapter-title">Implicit Differentiation</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/related_rates.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">34</span> <span class="chapter-title">Related rates</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../derivatives/taylor_series_polynomials.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">35</span> <span class="chapter-title">Taylor Polynomials and other Approximating Polynomials</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-4" aria-expanded="false">Integrals</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-4" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-4" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/area.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">36</span> <span class="chapter-title">Area under a curve</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/ftc.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">37</span> <span class="chapter-title">Fundamental Theorem or Calculus</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/substitution.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">38</span> <span class="chapter-title">Substitution</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/integration_by_parts.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">39</span> <span class="chapter-title">Integration By Parts</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/partial_fractions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">40</span> <span class="chapter-title">Partial Fractions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/improper_integrals.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">41</span> <span class="chapter-title">Improper Integrals</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/mean_value_theorem.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">42</span> <span class="chapter-title">Mean value theorem for integrals</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/area_between_curves.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">43</span> <span class="chapter-title">Area between two curves</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/center_of_mass.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">44</span> <span class="chapter-title">Center of Mass</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/volumes_slice.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">45</span> <span class="chapter-title">Volumes by slicing</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/arc_length.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">46</span> <span class="chapter-title">Arc length</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integrals/surface_area.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">47</span> <span class="chapter-title">Surface Area</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-5" aria-expanded="false">ODEs</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-5" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-5" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../ODEs/odes.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">48</span> <span class="chapter-title">ODEs</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../ODEs/euler.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">49</span> <span class="chapter-title">Euler’s method</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../ODEs/solve.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">50</span> <span class="chapter-title">The problem-algorithm-solve interface</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../ODEs/differential_equations.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">51</span> <span class="chapter-title">The <code>DifferentialEquations</code> suite</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-6" aria-expanded="false">Differential vector calculus</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-6" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-6" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/polar_coordinates.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">52</span> <span class="chapter-title">Polar Coordinates and Curves</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/vectors.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">53</span> <span class="chapter-title">Vectors and matrices</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/vector_valued_functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">54</span> <span class="chapter-title">Vector-valued functions, <span class="math inline">\(f:R \rightarrow R^n\)</span></span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/scalar_functions.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">55</span> <span class="chapter-title">Scalar functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/scalar_functions_applications.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">56</span> <span class="chapter-title">Applications with scalar functions</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/vector_fields.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">57</span> <span class="chapter-title">Functions <span class="math inline">\(R^n \rightarrow R^m\)</span></span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../differentiable_vector_calculus/plots_plotting.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">58</span> <span class="chapter-title">2D and 3D plots in Julia with Plots</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-7" aria-expanded="false">Integral vector calculus</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-7" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-7" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integral_vector_calculus/double_triple_integrals.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">59</span> <span class="chapter-title">Multi-dimensional integrals</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integral_vector_calculus/line_integrals.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">60</span> <span class="chapter-title">Line and Surface Integrals</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integral_vector_calculus/div_grad_curl.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">61</span> <span class="chapter-title">The Gradient, Divergence, and Curl</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integral_vector_calculus/stokes_theorem.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">62</span> <span class="chapter-title">Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../integral_vector_calculus/review.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">63</span> <span class="chapter-title">Quick Review of Vector Calculus</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-8" aria-expanded="false">Alternatives</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-8" aria-expanded="false">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-8" class="collapse list-unstyled sidebar-section depth1 ">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../alternatives/plotly_plotting.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">64</span> <span class="chapter-title">JavaScript based plotting libraries</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../alternatives/makie_plotting.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">65</span> <span class="chapter-title">Calculus plots with Makie</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item sidebar-item-section">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a class="sidebar-item-text sidebar-link text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-9" aria-expanded="true">Appendices</a>
|
|||
|
|
<a class="sidebar-item-toggle text-start" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-9" aria-expanded="true">
|
|||
|
|
<i class="bi bi-chevron-right ms-2"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<ul id="quarto-sidebar-section-9" class="collapse list-unstyled sidebar-section depth1 show">
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../misc/getting_started_with_julia.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">66</span> <span class="chapter-title">Getting started with Julia</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../misc/julia_interfaces.html" class="sidebar-item-text sidebar-link active"><span class="chapter-number">67</span> <span class="chapter-title">Julia interfaces</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../misc/calculus_with_julia.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">68</span> <span class="chapter-title">The <code>CalculusWithJulia</code> package</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../misc/unicode.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">69</span> <span class="chapter-title">Usages of Unicode symbols</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../misc/quick_notes.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">70</span> <span class="chapter-title">Quick introduction to Calculus with Julia</span></a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
|
|
<div class="sidebar-item-container">
|
|||
|
|
<a href="../references.html" class="sidebar-item-text sidebar-link">References</a>
|
|||
|
|
</div>
|
|||
|
|
</li>
|
|||
|
|
</ul>
|
|||
|
|
</div>
|
|||
|
|
</nav>
|
|||
|
|
<!-- margin-sidebar -->
|
|||
|
|
<div id="quarto-margin-sidebar" class="sidebar margin-sidebar">
|
|||
|
|
<nav id="TOC" role="doc-toc">
|
|||
|
|
<h2 id="toc-title">Table of contents</h2>
|
|||
|
|
|
|||
|
|
<ul>
|
|||
|
|
<li><a href="#the-repl" id="toc-the-repl" class="nav-link active" data-scroll-target="#the-repl"> <span class="header-section-number">67.1</span> The <code>REPL</code></a></li>
|
|||
|
|
<li><a href="#pluto" id="toc-pluto" class="nav-link" data-scroll-target="#pluto"> <span class="header-section-number">67.2</span> <code>Pluto</code></a></li>
|
|||
|
|
<li><a href="#ijulia" id="toc-ijulia" class="nav-link" data-scroll-target="#ijulia"> <span class="header-section-number">67.3</span> <code>IJulia</code></a></li>
|
|||
|
|
<li><a href="#vscode" id="toc-vscode" class="nav-link" data-scroll-target="#vscode"> <span class="header-section-number">67.4</span> VSCode</a></li>
|
|||
|
|
</ul>
|
|||
|
|
<div class="toc-actions"><div><i class="bi bi-github"></i></div><div class="action-links"><p><a href="https://github.com/jverzani/CalculusWithJuliaNotes.jl/edit/main/quarto/misc/julia_interfaces.qmd" class="toc-action">Edit this page</a></p><p><a href="https://github.com/jverzani/CalculusWithJuliaNotes.jl/issues/new" class="toc-action">Report an issue</a></p></div></div></nav>
|
|||
|
|
</div>
|
|||
|
|
<!-- main -->
|
|||
|
|
<main class="content" id="quarto-document-content">
|
|||
|
|
|
|||
|
|
<header id="title-block-header" class="quarto-title-block default">
|
|||
|
|
<div class="quarto-title">
|
|||
|
|
<h1 class="title d-none d-lg-block"><span class="chapter-number">67</span> <span class="chapter-title">Julia interfaces</span></h1>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
<div class="quarto-title-meta">
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
|
|||
|
|
</header>
|
|||
|
|
|
|||
|
|
<p><code>Julia</code> can be used in many different manners. This page describes a few.</p>
|
|||
|
|
<section id="the-repl" class="level2" data-number="67.1">
|
|||
|
|
<h2 data-number="67.1" class="anchored" data-anchor-id="the-repl"><span class="header-section-number">67.1</span> The <code>REPL</code></h2>
|
|||
|
|
<p>Base <code>Julia</code> comes with a <code>REPL</code> package, which provides a means to interact with <code>Julia</code> at the command line.</p>
|
|||
|
|
<div class="sourceCode cell-code" id="cb1"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a> _</span>
|
|||
|
|
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a> _ _ <span class="fu">_</span>(_)_ <span class="op">|</span> Documentation<span class="op">:</span> https<span class="op">://</span>docs.julialang.org</span>
|
|||
|
|
<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a> (_) <span class="op">|</span> (_) (_) <span class="op">|</span></span>
|
|||
|
|
<span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a> _ _ _<span class="op">|</span> <span class="op">|</span>_ __ _ <span class="op">|</span> <span class="dt">Type</span> <span class="st">"?"</span> <span class="cf">for</span> help, <span class="st">"]?"</span> <span class="cf">for</span> <span class="bu">Pkg</span> help.</span>
|
|||
|
|
<span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span> <span class="op">|/</span> _<span class="ss">` | |</span></span>
|
|||
|
|
<span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span>_<span class="op">|</span> <span class="op">|</span> <span class="op">|</span> <span class="op">|</span> (_<span class="op">|</span> <span class="op">|</span> <span class="op">|</span> Version <span class="fl">1.7.0</span> (<span class="fl">2021</span><span class="op">-</span><span class="fl">11</span><span class="op">-</span><span class="fl">30</span>)</span>
|
|||
|
|
<span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a> _<span class="op">/</span> <span class="op">|\</span>__<span class="ch">'_|_|_|\__'</span>_<span class="op">|</span> <span class="op">|</span> Official https<span class="op">://</span>julialang.org<span class="op">/</span> release</span>
|
|||
|
|
<span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="op">|</span>__<span class="op">/</span> <span class="op">|</span></span>
|
|||
|
|
<span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a></span>
|
|||
|
|
<span id="cb1-10"><a href="#cb1-10" aria-hidden="true" tabindex="-1"></a>julia<span class="op">></span> <span class="fl">2</span> <span class="op">+</span> <span class="fl">2</span></span>
|
|||
|
|
<span id="cb1-11"><a href="#cb1-11" aria-hidden="true" tabindex="-1"></a><span class="fl">4</span></span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
|
|||
|
|
<p>The <code>julia></code> prompt is where commands are typed. The <code>return</code> key will send a command to the interpreter and the results are displayed in the REPL terminal.</p>
|
|||
|
|
<p>The REPL has many features for editing, for interacting with the package manager, or interaction with the shell. However it is command-line based, which no support for mouse interaction. For that, other options are available.</p>
|
|||
|
|
</section>
|
|||
|
|
<section id="pluto" class="level2" data-number="67.2">
|
|||
|
|
<h2 data-number="67.2" class="anchored" data-anchor-id="pluto"><span class="header-section-number">67.2</span> <code>Pluto</code></h2>
|
|||
|
|
<p>The <code>Pluto</code> package provides a notebook interface for interacting with <code>Julia</code>, which has a few idiosyncrasies, as compared to other interfaces.</p>
|
|||
|
|
<p>Pluto is started from the REPL terminal with these two commands:</p>
|
|||
|
|
<div class="sourceCode cell-code" id="cb2"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">Pluto</span></span>
|
|||
|
|
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a>Pluto.<span class="fu">run</span>()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
|
|||
|
|
<p>Primarily, the variables in the notebook are <strong>reactive</strong>, meaning if a variable’s value is modified, all references to that variables are also modified. This reactive nature makes it very easy to see the results of slight modifications and when coupled with HTML controls, allows easy user interfaces to be developed.</p>
|
|||
|
|
<p>As a result, a variable name may only be used once in the top-level scope. (Names can be reused inside functions, which create their own scope and in “<code>let</code>” blocks, a trick used within these notes.) In the notes, subscripting and unicode variants are used for symbols which are typically repurposed (e.g., <code>x</code> or <code>f</code>).</p>
|
|||
|
|
<p>Pluto cells may only contain one command, the result of which is displayed <em>above</em> the cell. This one command can be a <code>begin</code> or <code>let</code> block to join multiple statements.</p>
|
|||
|
|
<p>Pluto has a built-in package management system that manages the installation of packages on demand.</p>
|
|||
|
|
<p><code>Pluto</code> notebooks can be easily run locally using <code>Pluto</code>.</p>
|
|||
|
|
<p><code>Pluto</code> notebooks are just <code>.jl</code> scripts, so can easily be shared.</p>
|
|||
|
|
</section>
|
|||
|
|
<section id="ijulia" class="level2" data-number="67.3">
|
|||
|
|
<h2 data-number="67.3" class="anchored" data-anchor-id="ijulia"><span class="header-section-number">67.3</span> <code>IJulia</code></h2>
|
|||
|
|
<p>“Project <a href="https://jupyter.org/">Jupyter</a> exists to develop open-source software, open-standards, and services for interactive computing across dozens of programming languages.” The <code>IJulia</code> package allows <code>Julia</code> to be one of these programming languages. This package must be installed prior to use.</p>
|
|||
|
|
<p>The Jupyter Project provides two web-based interfaces to <code>Julia</code>: the Jupyter notebook and the newer JupyterLab. The the <a href="https://mybinder.org/">binder</a> project use Juptyer notebooks for their primary interface to <code>Julia</code>. To use a binder notebook, follow this link:</p>
|
|||
|
|
<p><a href="https://mybinder.org/v2/gh/CalculusWithJulia/CwJScratchPad.git/master">lauch binder</a></p>
|
|||
|
|
<p>To run locally, these interfaces are available once <code>IJulia</code> is installed. Since version 1.7, the following commands should do this:</p>
|
|||
|
|
<div class="sourceCode cell-code" id="cb3"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">IJulia</span></span>
|
|||
|
|
<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a><span class="fu">notebook</span>()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
|
|||
|
|
<p>Should that not work, then this should as well:</p>
|
|||
|
|
<div class="sourceCode cell-code" id="cb4"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">Pkg</span></span>
|
|||
|
|
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a><span class="bu">Pkg</span>.<span class="fu">add</span>(<span class="st">"PyCall"</span>)</span>
|
|||
|
|
<span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a><span class="bu">Pkg</span>.<span class="fu">add</span>(<span class="st">"IJulia"</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
|
|||
|
|
<hr>
|
|||
|
|
<p>The notebook interface has “cells” where one or more commands can be entered.</p>
|
|||
|
|
<p>In <code>IJulia</code>, a block of commands is sent to the kernel (the <code>Julia</code> interpreter) by typing “shift+return” or clicking on a “run” button. The output is printed below a cell, including graphics.</p>
|
|||
|
|
<p>When a cell is evaluating, the leading <code>[]</code> has an asterick (<code>[*]</code>) showing the notebook is awaiting the results of the calculation.</p>
|
|||
|
|
<p>Once a cell is evaluated, the leading <code>[]</code> has a number inserted (e.g., <code>[1]</code>, as in the figure). This number indicates the order of cell evaluation. Once a notebook is interacted with, the state of the namespace need not reflect the top-to-bottom order of the notebook, but rather reflects the order of cell evaluations.</p>
|
|||
|
|
<p>To be specific, a variable like <code>x</code> may be redefined in a cell above where the variable is intially defined and this redefinition will hold the current value known to the interpreter. As well, a notebook, when reloaded, may have unevaluated cells with output showing. These will not influence the state of the kernel until they are evaluated.</p>
|
|||
|
|
<p>When a cell’s commands are evaluated, the last command executed is displayed. If it is desirable that multiple values be displayed, they can be packed into a tuple. This is done by using commas to separate values. <code>IJulia</code> will also display other means to print output (e.g., <code>@show</code>, <code>display</code>, <code>print</code>, …).</p>
|
|||
|
|
<p>To run all cells in a notebook from top to bottom, the “run all” command under the “Cell” menu is available.</p>
|
|||
|
|
<p>If a calculation takes much longer than anticipated, the “kernel” can be interrupted through a menu item of “Kernel”.</p>
|
|||
|
|
<p>If the kernal appears unresponsive, it can be restarted through a menu item of “Kernel”.</p>
|
|||
|
|
<p>Notebooks can be saved (as <code>*.ipynb</code> files) for sharing or for reuse. Notebooks can be printed at HTML pages, and if the proper underlying software is available, as formatted pages.</p>
|
|||
|
|
<p>JupyterLab, a variant, has more features, commonly associated with an integrated development environment (IDE).</p>
|
|||
|
|
</section>
|
|||
|
|
<section id="vscode" class="level2" data-number="67.4">
|
|||
|
|
<h2 data-number="67.4" class="anchored" data-anchor-id="vscode"><span class="header-section-number">67.4</span> VSCode</h2>
|
|||
|
|
<p><a href="https://www.julia-vscode.org/">Julia for Visual Studio Code</a> provides support for the julia programming language for <a href="https://code.visualstudio.com/">VS Code</a>. VS Code is an open-sourced code editor supported by Microsoft. VS Code provides a cross-platform interface to <code>Julia</code> geared towards programming within the language.</p>
|
|||
|
|
|
|||
|
|
|
|||
|
|
</section>
|
|||
|
|
|
|||
|
|
</main> <!-- /main -->
|
|||
|
|
<script id="quarto-html-after-body" type="application/javascript">
|
|||
|
|
window.document.addEventListener("DOMContentLoaded", function (event) {
|
|||
|
|
const toggleBodyColorMode = (bsSheetEl) => {
|
|||
|
|
const mode = bsSheetEl.getAttribute("data-mode");
|
|||
|
|
const bodyEl = window.document.querySelector("body");
|
|||
|
|
if (mode === "dark") {
|
|||
|
|
bodyEl.classList.add("quarto-dark");
|
|||
|
|
bodyEl.classList.remove("quarto-light");
|
|||
|
|
} else {
|
|||
|
|
bodyEl.classList.add("quarto-light");
|
|||
|
|
bodyEl.classList.remove("quarto-dark");
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
const toggleBodyColorPrimary = () => {
|
|||
|
|
const bsSheetEl = window.document.querySelector("link#quarto-bootstrap");
|
|||
|
|
if (bsSheetEl) {
|
|||
|
|
toggleBodyColorMode(bsSheetEl);
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
toggleBodyColorPrimary();
|
|||
|
|
const icon = "";
|
|||
|
|
const anchorJS = new window.AnchorJS();
|
|||
|
|
anchorJS.options = {
|
|||
|
|
placement: 'right',
|
|||
|
|
icon: icon
|
|||
|
|
};
|
|||
|
|
anchorJS.add('.anchored');
|
|||
|
|
const clipboard = new window.ClipboardJS('.code-copy-button', {
|
|||
|
|
target: function(trigger) {
|
|||
|
|
return trigger.previousElementSibling;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
clipboard.on('success', function(e) {
|
|||
|
|
// button target
|
|||
|
|
const button = e.trigger;
|
|||
|
|
// don't keep focus
|
|||
|
|
button.blur();
|
|||
|
|
// flash "checked"
|
|||
|
|
button.classList.add('code-copy-button-checked');
|
|||
|
|
var currentTitle = button.getAttribute("title");
|
|||
|
|
button.setAttribute("title", "Copied!");
|
|||
|
|
setTimeout(function() {
|
|||
|
|
button.setAttribute("title", currentTitle);
|
|||
|
|
button.classList.remove('code-copy-button-checked');
|
|||
|
|
}, 1000);
|
|||
|
|
// clear code selection
|
|||
|
|
e.clearSelection();
|
|||
|
|
});
|
|||
|
|
function tippyHover(el, contentFn) {
|
|||
|
|
const config = {
|
|||
|
|
allowHTML: true,
|
|||
|
|
content: contentFn,
|
|||
|
|
maxWidth: 500,
|
|||
|
|
delay: 100,
|
|||
|
|
arrow: false,
|
|||
|
|
appendTo: function(el) {
|
|||
|
|
return el.parentElement;
|
|||
|
|
},
|
|||
|
|
interactive: true,
|
|||
|
|
interactiveBorder: 10,
|
|||
|
|
theme: 'quarto',
|
|||
|
|
placement: 'bottom-start'
|
|||
|
|
};
|
|||
|
|
window.tippy(el, config);
|
|||
|
|
}
|
|||
|
|
const noterefs = window.document.querySelectorAll('a[role="doc-noteref"]');
|
|||
|
|
for (var i=0; i<noterefs.length; i++) {
|
|||
|
|
const ref = noterefs[i];
|
|||
|
|
tippyHover(ref, function() {
|
|||
|
|
let href = ref.getAttribute('href');
|
|||
|
|
try { href = new URL(href).hash; } catch {}
|
|||
|
|
const id = href.replace(/^#\/?/, "");
|
|||
|
|
const note = window.document.getElementById(id);
|
|||
|
|
return note.innerHTML;
|
|||
|
|
});
|
|||
|
|
}
|
|||
|
|
var bibliorefs = window.document.querySelectorAll('a[role="doc-biblioref"]');
|
|||
|
|
for (var i=0; i<bibliorefs.length; i++) {
|
|||
|
|
const ref = bibliorefs[i];
|
|||
|
|
const cites = ref.parentNode.getAttribute('data-cites').split(' ');
|
|||
|
|
tippyHover(ref, function() {
|
|||
|
|
var popup = window.document.createElement('div');
|
|||
|
|
cites.forEach(function(cite) {
|
|||
|
|
var citeDiv = window.document.createElement('div');
|
|||
|
|
citeDiv.classList.add('hanging-indent');
|
|||
|
|
citeDiv.classList.add('csl-entry');
|
|||
|
|
var biblioDiv = window.document.getElementById('ref-' + cite);
|
|||
|
|
if (biblioDiv) {
|
|||
|
|
citeDiv.innerHTML = biblioDiv.innerHTML;
|
|||
|
|
}
|
|||
|
|
popup.appendChild(citeDiv);
|
|||
|
|
});
|
|||
|
|
return popup.innerHTML;
|
|||
|
|
});
|
|||
|
|
}
|
|||
|
|
var localhostRegex = new RegExp(/^(?:http|https):\/\/localhost\:?[0-9]*\//);
|
|||
|
|
var filterRegex = new RegExp('/' + window.location.host + '/');
|
|||
|
|
var isInternal = (href) => {
|
|||
|
|
return filterRegex.test(href) || localhostRegex.test(href);
|
|||
|
|
}
|
|||
|
|
// Inspect non-navigation links and adorn them if external
|
|||
|
|
var links = window.document.querySelectorAll('a:not(.nav-link):not(.navbar-brand):not(.toc-action):not(.sidebar-link):not(.sidebar-item-toggle):not(.pagination-link):not(.no-external)');
|
|||
|
|
for (var i=0; i<links.length; i++) {
|
|||
|
|
const link = links[i];
|
|||
|
|
if (!isInternal(link.href)) {
|
|||
|
|
// target, if specified
|
|||
|
|
link.setAttribute("target", "_blank");
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
</script>
|
|||
|
|
<nav class="page-navigation">
|
|||
|
|
<div class="nav-page nav-page-previous">
|
|||
|
|
<a href="../misc/getting_started_with_julia.html" class="pagination-link">
|
|||
|
|
<i class="bi bi-arrow-left-short"></i> <span class="nav-page-text"><span class="chapter-number">66</span> <span class="chapter-title">Getting started with Julia</span></span>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
<div class="nav-page nav-page-next">
|
|||
|
|
<a href="../misc/calculus_with_julia.html" class="pagination-link">
|
|||
|
|
<span class="nav-page-text"><span class="chapter-number">68</span> <span class="chapter-title">The <code>CalculusWithJulia</code> package</span></span> <i class="bi bi-arrow-right-short"></i>
|
|||
|
|
</a>
|
|||
|
|
</div>
|
|||
|
|
</nav>
|
|||
|
|
</div> <!-- /content -->
|
|||
|
|
<footer class="footer">
|
|||
|
|
<div class="nav-footer">
|
|||
|
|
<div class="nav-footer-center">Copyright 2022, John Verzani</div>
|
|||
|
|
</div>
|
|||
|
|
</footer>
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
</body></html>
|