835 lines
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<h1 class="quarto-secondary-nav-title"><span class="chapter-number">66</span> <span class="chapter-title">Getting started with Julia</span></h1>
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<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>
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<a href="../limits/continuity.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">20</span> <span class="chapter-title">Continuity</span></a>
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<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>
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<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>
|
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<a class="sidebar-item-toggle text-start collapsed" data-bs-toggle="collapse" data-bs-target="#quarto-sidebar-section-3" aria-expanded="false">
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<a href="../derivatives/derivatives.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">22</span> <span class="chapter-title">Derivatives</span></a>
|
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<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>
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<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>
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<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>
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<a href="../derivatives/optimization.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">26</span> <span class="chapter-title">Optimization</span></a>
|
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<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>
|
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<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>
|
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|
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<a href="../derivatives/linearization.html" class="sidebar-item-text sidebar-link"><span class="chapter-number">29</span> <span class="chapter-title">Linearization</span></a>
|
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</div>
|
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<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>
|
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</div>
|
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|||
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<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>
|
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</div>
|
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|
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<li class="sidebar-item">
|
|||
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|
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<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>
|
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</div>
|
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|
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|
|||
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|
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<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>
|
|||
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</div>
|
|||
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</li>
|
|||
|
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|
|||
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|
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<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>
|
|||
|
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</div>
|
|||
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|
|||
|
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|
|||
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|
|||
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|
<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>
|
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</div>
|
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|
|||
|
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</ul>
|
|||
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|
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|||
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|
|||
|
|
<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">
|
|||
|
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<i class="bi bi-chevron-right ms-2"></i>
|
|||
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|
|||
|
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|
|||
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|
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|
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|
|||
|
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<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>
|
|||
|
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</div>
|
|||
|
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|
|||
|
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|||
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|
|||
|
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<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>
|
|||
|
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</div>
|
|||
|
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</li>
|
|||
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
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</li>
|
|||
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
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|
|||
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
|
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|
|||
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
|
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|
|||
|
|
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|
|||
|
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|
|||
|
|
<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>
|
|||
|
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</div>
|
|||
|
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|
|||
|
|
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|
|||
|
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|
|||
|
|
<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>
|
|||
|
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|
|||
|
|
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|
|||
|
|
<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">
|
|||
|
|
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|
|||
|
|
<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>
|
|||
|
|
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|
|||
|
|
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|
|||
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|
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|
|||
|
|
<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>
|
|||
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</div>
|
|||
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|
|||
|
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</ul>
|
|||
|
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|
|||
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|
|||
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|
|||
|
|
<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>
|
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|
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|
|||
|
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|
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|
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|
|
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|
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|
|||
|
|
<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>
|
|||
|
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|
|||
|
|
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|
|||
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|
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|
|||
|
|
<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>
|
|||
|
|
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|
|||
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|
|||
|
|
<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>
|
|||
|
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</li>
|
|||
|
|
<li class="sidebar-item">
|
|||
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|
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|
|||
|
|
<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>
|
|||
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|
|||
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|
|||
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|
|||
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|||
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|||
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|
|||
|
|
<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">
|
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|
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|
|||
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|
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|
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|
|||
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|
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|
|||
|
|
<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>
|
|||
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|
|||
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|
|||
|
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|
|||
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|
|||
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|
<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>
|
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|
|||
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|
|||
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|
|||
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|
|||
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|
<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>
|
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</div>
|
|||
|
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|
|||
|
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|||
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|
|||
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|
<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>
|
|||
|
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</div>
|
|||
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|
|||
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|
|||
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|
|||
|
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<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>
|
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|
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</div>
|
|||
|
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|
|||
|
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<li class="sidebar-item">
|
|||
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|
|||
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|
<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>
|
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</div>
|
|||
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|
|||
|
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<li class="sidebar-item">
|
|||
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|
|||
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|
<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>
|
|||
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|
|||
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|
|||
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|
|||
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|
|||
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|||
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|
|||
|
|
<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">
|
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<i class="bi bi-chevron-right ms-2"></i>
|
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|
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|
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|
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|
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|
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|
|
<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>
|
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|
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|
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|
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|
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|
|||
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|
<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>
|
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|
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</div>
|
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|
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|
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<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>
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<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>
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<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>
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<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>
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<a href="../misc/getting_started_with_julia.html" class="sidebar-item-text sidebar-link active"><span class="chapter-number">66</span> <span class="chapter-title">Getting started with Julia</span></a>
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<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>
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<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>
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<li><a href="#running-julia-through-the-web" id="toc-running-julia-through-the-web" class="nav-link active" data-scroll-target="#running-julia-through-the-web"> <span class="header-section-number">66.1</span> Running Julia through the web</a></li>
|
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<li><a href="#installing-julia-locally" id="toc-installing-julia-locally" class="nav-link" data-scroll-target="#installing-julia-locally"> <span class="header-section-number">66.2</span> Installing Julia locally</a></li>
|
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<li><a href="#basic-interactive-usage" id="toc-basic-interactive-usage" class="nav-link" data-scroll-target="#basic-interactive-usage"> <span class="header-section-number">66.3</span> Basic interactive usage</a></li>
|
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<li><a href="#add-on-packages" id="toc-add-on-packages" class="nav-link" data-scroll-target="#add-on-packages"> <span class="header-section-number">66.4</span> Add-on packages</a></li>
|
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|
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<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/getting_started_with_julia.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>
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<h1 class="title d-none d-lg-block"><span class="chapter-number">66</span> <span class="chapter-title">Getting started with Julia</span></h1>
|
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</header>
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|
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<p>Julia is a freely available, open-source programming language aimed at technical computing.</p>
|
|||
|
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<p>As it is open source, indeed with a liberal MIT license, it can be installed for free on many types of computers (though not phones or tablets).</p>
|
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|
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<section id="running-julia-through-the-web" class="level2" data-number="66.1">
|
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|
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<h2 data-number="66.1" class="anchored" data-anchor-id="running-julia-through-the-web"><span class="header-section-number">66.1</span> Running Julia through the web</h2>
|
|||
|
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<p>There are a few services for running <code>Julia</code> through the web. Mentioned here is <a href="https://mybinder.org">Binder</a>, which provides a web-based interface to <code>Julia</code> built around <code>Jupyter</code>. <code>Jupyter</code> is a wildly succesful platform for interacting with different open-source software programs.</p>
|
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<p><a href="https://mybinder.org/v2/gh/CalculusWithJulia/CwJScratchPad.git/master">lauch binder</a></p>
|
|||
|
|
<p>Clicking the launch link above will open a web page which provides a blank notebook, save for a package used by these notes. However, <code>Binder</code> is nowhere near as reliable as a local installation.</p>
|
|||
|
|
</section>
|
|||
|
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<section id="installing-julia-locally" class="level2" data-number="66.2">
|
|||
|
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<h2 data-number="66.2" class="anchored" data-anchor-id="installing-julia-locally"><span class="header-section-number">66.2</span> Installing Julia locally</h2>
|
|||
|
|
<p>Installing <code>Julia</code> locally is not more difficult than installing other software.</p>
|
|||
|
|
<p>Binaries of <code>Julia</code> are provided at <a href="http://julialang.org/downloads/">julialang.org</a>. Julia has an official released version and a developmental version. Unless there is a compelling reason, the latest released version should be downloaded and installed for use.</p>
|
|||
|
|
<p>For Windows users, there is a <code>juliaup</code> program for managing the installation of Julia.</p>
|
|||
|
|
<p>The base <code>Julia</code> provides a <em>command-line interface</em>, or REPL (read-evaluate-parse).</p>
|
|||
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</section>
|
|||
|
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<section id="basic-interactive-usage" class="level2" data-number="66.3">
|
|||
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<h2 data-number="66.3" class="anchored" data-anchor-id="basic-interactive-usage"><span class="header-section-number">66.3</span> Basic interactive usage</h2>
|
|||
|
|
<p>Once installed, <code>Julia</code> can be started by clicking on an icon or typing <code>julia</code> at the command line. Either will open a <em>command line interface</em> for a user to interact with a <code>Julia</code> process. The basic workflow is easy: commands are typed then sent to a <code>Julia</code> process when the “return” key is pressed for a complete expression. Then the output is displayed.</p>
|
|||
|
|
<p>A command is typed following the <em>prompt</em>. An example might be <code>2 + 2</code>. To send the command to the <code>Julia</code> interpreter the “return” key is pressed. A complete expression or expressions will then be parsed and evaluated (executed). If the expression is not complete, <code>julia</code>’s prompt will still accept input to complete the expression. Type <code>2 +</code> to see. (The expression <code>2 +</code> is not complete, as the infix operator <code>+</code> expects two arguments, one on its left and one on its right.)</p>
|
|||
|
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<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>
|
|||
|
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<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>
|
|||
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<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a> (_) <span class="op">|</span> (_) (_) <span class="op">|</span></span>
|
|||
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<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>
|
|||
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<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>
|
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<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>
|
|||
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<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>
|
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<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>
|
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<span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a></span>
|
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<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>
|
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<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>
|
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<p>Above, <code>julia></code> is the prompt. These notes will not include the prompt, so that copying-and-pasting can be more easily used. Input and output cells display similarly, though with differences in coloring. For example:</p>
|
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<div class="cell" data-execution_count="4">
|
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<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="fl">2</span> <span class="op">+</span> <span class="fl">2</span></span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<div class="cell-output cell-output-display" data-execution_count="4">
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<pre><code>4</code></pre>
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<p>While many prefer a command line for interacting with <code>Julia</code>, when learning a notebook interfaces is suggested. (An IDE like <a href="https://www.julia-vscode.org/">Julia for Visual Studio Code</a> might be preferred for experienced programmers). In <a href="./julia_interfaces.html">Julia interfaces</a>, we describe two different notebook interfaces that are available through add-on packages.</p>
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<section id="add-on-packages" class="level2" data-number="66.4">
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<h2 data-number="66.4" class="anchored" data-anchor-id="add-on-packages"><span class="header-section-number">66.4</span> Add-on packages</h2>
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<p><code>Julia</code> is well on its way towards 10,000 external add-on packages that enhance the offerings of base <code>Julia</code>. We refer to one, <code>CalculusWithJulia</code>, that is designed to accompany these notes. <a href="./calculus_with_julia.html">Installation notes</a> are available.</p>
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<p>In <code>Julia</code> graphics are provided only by add-on packages – there is no built-in graphing. This is the case under <code>Pluto</code> or <code>Jupyter</code> or the command line.</p>
|
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<p>In these notes, we use the <code>Plots</code> package and its default backend. The <code>Plots</code> package provides a common interface to several different backends; this choice is easily changed. The <code>gr</code> backend is used in these notes, though for interactive use the <code>Plotly</code> backend has advantages; for more complicated graphics, <code>pyplot</code> has some advantages; for publication <code>PGFPlotsX</code> has advantages.</p>
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<p>The package, if installed, is loaded as any other package:</p>
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<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">Plots</span></span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
|
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<p>With that in hand, to make a graph of a function over a range, we follow this pattern:</p>
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<div class="cell" data-execution_count="6">
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<div class="sourceCode cell-code" id="cb5"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a><span class="fu">plot</span>(sin, <span class="fl">0</span>, <span class="fl">2</span>pi)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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|
|
// 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');
|
|||
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|
}, 1000);
|
|||
|
|
// clear code selection
|
|||
|
|
e.clearSelection();
|
|||
|
|
});
|
|||
|
|
function tippyHover(el, contentFn) {
|
|||
|
|
const config = {
|
|||
|
|
allowHTML: true,
|
|||
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|
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)');
|
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|
|
for (var i=0; i<links.length; i++) {
|
|||
|
|
const link = links[i];
|
|||
|
|
if (!isInternal(link.href)) {
|
|||
|
|
// target, if specified
|
|||
|
|
link.setAttribute("target", "_blank");
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
</script>
|
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<a href="../alternatives/makie_plotting.html" class="pagination-link">
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<i class="bi bi-arrow-left-short"></i> <span class="nav-page-text"><span class="chapter-number">65</span> <span class="chapter-title">Calculus plots with Makie</span></span>
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</a>
|
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</div>
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<div class="nav-page nav-page-next">
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<a href="../misc/julia_interfaces.html" class="pagination-link">
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<span class="nav-page-text"><span class="chapter-number">67</span> <span class="chapter-title">Julia interfaces</span></span> <i class="bi bi-arrow-right-short"></i>
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<div class="nav-footer-center">Copyright 2022, John Verzani</div>
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