build based on dd7aadc

dev/examples/perturbation/index.html

@@ -83,4 +83,4 @@
 - (𝜀 + 4*𝜀^2 + 10*𝜀^3)*𝑀^3/6
 + (𝜀 + 16*𝜀^2 + 91*𝜀^3)*𝑀^5/120</code></pre><p>Comparing the formula to the one for 𝐸 in the <a href="https://en.wikipedia.org/wiki/Kepler%27s_equation">Wikipedia article on the Kepler&#39;s equation</a>:</p><p class="math-container">\[  E = \frac{1}{1-\epsilon}M
     -\frac{\epsilon}{(1-\epsilon)^4} \frac{M^3}{3!} + \frac{(9\epsilon^2
-    + \epsilon)}{(1-\epsilon)^7}\frac{M^5}{5!}\cdots\]</p><p>The first deviation is in the coefficient of <span>$\epsilon^3 M^5$</span>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../tutorials/converting_to_C/">« Automatic Conversion of Julia Code to C Functions</a><a class="docs-footer-nextpage" href="../../manual/variables/">Variable and Equation Types »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:11">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+    + \epsilon)}{(1-\epsilon)^7}\frac{M^5}{5!}\cdots\]</p><p>The first deviation is in the coefficient of <span>$\epsilon^3 M^5$</span>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../tutorials/converting_to_C/">« Automatic Conversion of Julia Code to C Functions</a><a class="docs-footer-nextpage" href="../../manual/variables/">Variable and Equation Types »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:28">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/getting_started/index.html

@@ -1243,9 +1243,9 @@
 out = sparse(rows, cols, zeros(length(cols)), size(sj)...) # pre-allocate, and correct structure
 myf = eval(last(f_expr))
 myf(out, rand(N)) # note that out matches the sparsity structure of sj
-out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 21 stored entries:
-⠁⠀⠄⠀⢌
-⠀⠂⠐⡨⠀
-⠄⠠⠁⠀⠀
-⠀⣀⢀⠔⠀
-⠀⠤⠀⠠⠀</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:11">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 14 stored entries:
+⡈⠀⠀⠀⠀
+⠀⠀⠈⠀⠀
+⠀⠀⠀⠀⢂
+⠀⠀⠄⠤⠀
+⠀⠀⠃⡀⠋</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:28">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

@@ -5,4 +5,4 @@
   author={Gowda, Shashi and Ma, Yingbo and Cheli, Alessandro and Gwozdz, Maja and Shah, Viral B and Edelman, Alan and Rackauckas, Christopher},
   journal={arXiv preprint arXiv:2105.03949},
   year={2021}
-}</code></pre><h2 id="Feature-Summary"><a class="docs-heading-anchor" href="#Feature-Summary">Feature Summary</a><a id="Feature-Summary-1"></a><a class="docs-heading-anchor-permalink" href="#Feature-Summary" title="Permalink"></a></h2><p>Because Symbolics.jl is built into the Julia language and works with its dispatches, generic functions in Base Julia will work with symbolic expressions! Make matrices of symbolic expressions and multiply them: it will just work. Take the LU-factorization. Etc. Thus, see <a href="https://docs.julialang.org/en/v1/">the Julia Documentation</a> for a large list of functionality available in Symbolics.jl.</p><p>A general list of the features is:</p><ul><li>Symbolic arithmetic with type information and multiple dispatch</li><li>Symbolic polynomials and trigonometric functions</li><li>Pattern matching, simplification and substitution</li><li>Differentiation</li><li>Symbolic linear algebra (factorizations, inversion, determinants, eigencomputations, etc.)</li><li>Discrete math (representations of summations, products, binomial coefficients, etc.)</li><li>Logical and Boolean expressions</li><li>Symbolic equation solving and conversion to arbitrary precision</li><li>Support for non-standard algebras (non-commutative symbols and customizable rulesets)</li><li>Special functions (list provided by <a href="https://github.com/JuliaMath/SpecialFunctions.jl">SpecialFunctions.jl</a>)</li><li>Automatic conversion of Julia code to symbolic code</li><li>Generation of (high performance and parallel) functions from symbolic expressions</li><li>Fast automated sparsity detection and generation of sparse Jacobians and Hessians</li></ul><p>and much more.</p><h2 id="Extension-Packages"><a class="docs-heading-anchor" href="#Extension-Packages">Extension Packages</a><a id="Extension-Packages-1"></a><a class="docs-heading-anchor-permalink" href="#Extension-Packages" title="Permalink"></a></h2><p>Below is a list of known extension packages. If you would like your package to be listed here, feel free to open a pull request!</p><ul><li><a href="https://github.com/SciML/ModelingToolkit.jl">ModelingToolkit.jl</a>: Symbolic representations of common numerical systems<ul><li>Ordinary differential equations</li><li>Stochastic differential equations</li><li>Partial differential equations</li><li>Nonlinear systems</li><li>Optimization problems</li><li>Optimal Control</li><li>Causal and acausal modeling (Simulink/Modelica)</li><li>Automated model transformation, simplification, and composition</li></ul></li><li><a href="https://github.com/SciML/Catalyst.jl">Catalyst.jl</a>: Symbolic representations of chemical reactions<ul><li>Symbolically build and represent large systems of chemical reactions</li><li>Generate code for ODEs, SDEs, continuous-time Markov Chains, and more</li><li>Simulate the models using the SciML ecosystem with O(1) Gillespie methods</li></ul></li><li><a href="https://github.com/SciML/DataDrivenDiffEq.jl">DataDrivenDiffEq.jl</a>: Automatic identification of equations from data<ul><li>Automated construction of ODEs and DAEs from data</li><li>Representations of Koopman operators and Dynamic Mode Decomposition (DMD)</li></ul></li><li><a href="https://github.com/MilesCranmer/SymbolicRegression.jl">SymbolicRegression.jl</a>: Distributed High-Performance symbolic regression<ul><li>Parallelized generic algorithms for finding equations from data</li><li>Pareto frontier-based scoring</li></ul></li><li><a href="https://github.com/dpsanders/ReversePropagation.jl">ReversePropagation.jl</a>: Source-to-source reverse mode automatic differentiation<ul><li>Automated tracing of code and construction of backpropagation equations</li><li>Composes with symbolic transformation and simplification functionality</li></ul></li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:11">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+}</code></pre><h2 id="Feature-Summary"><a class="docs-heading-anchor" href="#Feature-Summary">Feature Summary</a><a id="Feature-Summary-1"></a><a class="docs-heading-anchor-permalink" href="#Feature-Summary" title="Permalink"></a></h2><p>Because Symbolics.jl is built into the Julia language and works with its dispatches, generic functions in Base Julia will work with symbolic expressions! Make matrices of symbolic expressions and multiply them: it will just work. Take the LU-factorization. Etc. Thus, see <a href="https://docs.julialang.org/en/v1/">the Julia Documentation</a> for a large list of functionality available in Symbolics.jl.</p><p>A general list of the features is:</p><ul><li>Symbolic arithmetic with type information and multiple dispatch</li><li>Symbolic polynomials and trigonometric functions</li><li>Pattern matching, simplification and substitution</li><li>Differentiation</li><li>Symbolic linear algebra (factorizations, inversion, determinants, eigencomputations, etc.)</li><li>Discrete math (representations of summations, products, binomial coefficients, etc.)</li><li>Logical and Boolean expressions</li><li>Symbolic equation solving and conversion to arbitrary precision</li><li>Support for non-standard algebras (non-commutative symbols and customizable rulesets)</li><li>Special functions (list provided by <a href="https://github.com/JuliaMath/SpecialFunctions.jl">SpecialFunctions.jl</a>)</li><li>Automatic conversion of Julia code to symbolic code</li><li>Generation of (high performance and parallel) functions from symbolic expressions</li><li>Fast automated sparsity detection and generation of sparse Jacobians and Hessians</li></ul><p>and much more.</p><h2 id="Extension-Packages"><a class="docs-heading-anchor" href="#Extension-Packages">Extension Packages</a><a id="Extension-Packages-1"></a><a class="docs-heading-anchor-permalink" href="#Extension-Packages" title="Permalink"></a></h2><p>Below is a list of known extension packages. If you would like your package to be listed here, feel free to open a pull request!</p><ul><li><a href="https://github.com/SciML/ModelingToolkit.jl">ModelingToolkit.jl</a>: Symbolic representations of common numerical systems<ul><li>Ordinary differential equations</li><li>Stochastic differential equations</li><li>Partial differential equations</li><li>Nonlinear systems</li><li>Optimization problems</li><li>Optimal Control</li><li>Causal and acausal modeling (Simulink/Modelica)</li><li>Automated model transformation, simplification, and composition</li></ul></li><li><a href="https://github.com/SciML/Catalyst.jl">Catalyst.jl</a>: Symbolic representations of chemical reactions<ul><li>Symbolically build and represent large systems of chemical reactions</li><li>Generate code for ODEs, SDEs, continuous-time Markov Chains, and more</li><li>Simulate the models using the SciML ecosystem with O(1) Gillespie methods</li></ul></li><li><a href="https://github.com/SciML/DataDrivenDiffEq.jl">DataDrivenDiffEq.jl</a>: Automatic identification of equations from data<ul><li>Automated construction of ODEs and DAEs from data</li><li>Representations of Koopman operators and Dynamic Mode Decomposition (DMD)</li></ul></li><li><a href="https://github.com/MilesCranmer/SymbolicRegression.jl">SymbolicRegression.jl</a>: Distributed High-Performance symbolic regression<ul><li>Parallelized generic algorithms for finding equations from data</li><li>Pareto frontier-based scoring</li></ul></li><li><a href="https://github.com/dpsanders/ReversePropagation.jl">ReversePropagation.jl</a>: Source-to-source reverse mode automatic differentiation<ul><li>Automated tracing of code and construction of backpropagation equations</li><li>Composes with symbolic transformation and simplification functionality</li></ul></li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:28">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/manual/arrays/index.html

@@ -33,4 +33,4 @@
  \]</p><p>In general, any scalar expression which is derived from array expressions can be scalarized.</p><pre><code class="language-julia hljs">#sum(A[:,1]) + sum(A[2,:])#latexify not working</code></pre><pre><code class="language-julia hljs">Symbolics.scalarize(sum(A[:,1]) + sum(A[2,:]))</code></pre><p class="math-container">\[ \begin{equation}
 2 A_{2}ˏ_1 + A_{1}ˏ_1 + A_{2}ˏ_2 + A_{2}ˏ_3 + A_{3}ˏ_1 + A_{4}ˏ_1 + A_{5}ˏ_1
 \end{equation}
- \]</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../groebner/">« Groebner bases</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:11">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+ \]</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../groebner/">« Groebner bases</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 25 April 2023 05:28">Tuesday 25 April 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>