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dev/.documenter-siteinfo.json

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{"documenter":{"julia_version":"1.10.2","generation_timestamp":"2024-03-18T19:36:38","documenter_version":"1.3.0"}}
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{"documenter":{"julia_version":"1.10.2","generation_timestamp":"2024-03-19T12:40:17","documenter_version":"1.3.0"}}

dev/assets/Manifest.toml

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[[deps.ConstructionBase]]
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deps = ["LinearAlgebra"]
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git-tree-sha1 = "c53fc348ca4d40d7b371e71fd52251839080cbc9"
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git-tree-sha1 = "260fd2400ed2dab602a7c15cf10c1933c59930a2"
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uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
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version = "1.5.4"
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version = "1.5.5"
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weakdeps = ["IntervalSets", "StaticArrays"]
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[deps.ConstructionBase.extensions]

dev/comparison/index.html

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dev/examples/perturbation/index.html

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- (𝜀 + 4*𝜀^2 + 10*𝜀^3)*𝑀^3/6
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+ (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">\[ E = \frac{1}{1-\epsilon}M
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-\frac{\epsilon}{(1-\epsilon)^4} \frac{M^3}{3!} + \frac{(9\epsilon^2
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+ \epsilon)}{(1-\epsilon)^7}\frac{M^5}{5!}\cdots\]</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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Monday 18 March 2024 19:36">Monday 18 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+ \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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Tuesday 19 March 2024 12:40">Tuesday 19 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/getting_started/index.html

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begin
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var&quot;##out#242&quot; = ˍ₋out.nzval
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begin
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(Symbolics.var&quot;#noop#412&quot;())(map(fetch, (begin
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(Symbolics.var&quot;#noop#413&quot;())(map(fetch, (begin
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let
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task = Base.Task((Symbolics.Funcall)(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(&quot;##out#242&quot;), :ˍ₋arg1), Symbolics.var&quot;#_RGF_ModTag&quot;, Symbolics.var&quot;#_RGF_ModTag&quot;, (0x83c5a073, 0x1c44c962, 0x3f3ec20e, 0xf532103b, 0x3eaecf14), Nothing}(nothing), (var&quot;##out#242&quot;, ˍ₋arg1)))
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task = Base.Task((Symbolics.Funcall)(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(&quot;##out#242&quot;), :ˍ₋arg1), Symbolics.var&quot;#_RGF_ModTag&quot;, Symbolics.var&quot;#_RGF_ModTag&quot;, (0xf4030dff, 0xc48003db, 0xf99f0142, 0xfd7a9a44, 0x0e6fd71a), Nothing}(nothing), (var&quot;##out#242&quot;, ˍ₋arg1)))
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task.sticky = false
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Base.schedule(task)
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task
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end
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end, begin
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let
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task = Base.Task((Symbolics.Funcall)(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(&quot;##out#242&quot;), :ˍ₋arg1), Symbolics.var&quot;#_RGF_ModTag&quot;, Symbolics.var&quot;#_RGF_ModTag&quot;, (0x51a2a087, 0x9237bdf0, 0x36af2ac4, 0xc7db636b, 0xf0a8f3ca), Nothing}(nothing), (var&quot;##out#242&quot;, ˍ₋arg1)))
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task = Base.Task((Symbolics.Funcall)(RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(Symbol(&quot;##out#242&quot;), :ˍ₋arg1), Symbolics.var&quot;#_RGF_ModTag&quot;, Symbolics.var&quot;#_RGF_ModTag&quot;, (0x4e86638d, 0x2a065d09, 0xe19b07e3, 0x34a9d5ab, 0x6adee4f1), Nothing}(nothing), (var&quot;##out#242&quot;, ˍ₋arg1)))
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task.sticky = false
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Base.schedule(task)
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task
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out = sparse(rows, cols, zeros(length(cols)), size(sj)...) # pre-allocate, and correct structure
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myf = eval(last(f_expr))
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myf(out, rand(N)) # note that out matches the sparsity structure of sj
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out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 18 stored entries:
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⠠⢁⢁⠀⠠
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⎢⠀⣀⡐⠀⡀
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⠀⠀⠀⠀⢀
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⎢⠀⠀⠀⠄⠀
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⎣⠀⠀⢁⠡⠂⎦</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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Monday 18 March 2024 19:36">Monday 18 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 19 stored entries:
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⡠⡀⠠⠀⠀
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⎢⠀⠠⠀⠢⠂
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⠂⠐⠀⠠⠄
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⎢⠀⠊⠄⠀⠐
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⎣⠀⡀⠀⠐⡀⎦</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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Tuesday 19 March 2024 12:40">Tuesday 19 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

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[b152e2b5] CompositeTypes v0.1.3
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[2569d6c7] ConcreteStructs v0.2.3
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[f0e56b4a] ConcurrentUtilities v2.4.1
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[187b0558] ConstructionBase v1.5.4
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[187b0558] ConstructionBase v1.5.5
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[d38c429a] Contour v0.6.2
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[adafc99b] CpuId v0.3.1
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[9a962f9c] DataAPI v1.16.0
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[8e850b90] libblastrampoline_jll v5.8.0+1
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[8e850ede] nghttp2_jll v1.52.0+1
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[3f19e933] p7zip_jll v17.4.0+2
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Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v5.25.2/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v5.25.2/assets/Project.toml">project</a> file.</p></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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Monday 18 March 2024 19:36">Monday 18 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v5.25.2/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v5.25.2/assets/Project.toml">project</a> file.</p></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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Tuesday 19 March 2024 12:40">Tuesday 19 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/manual/arrays/index.html

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A_{2}ˏ_1 A_{3}ˏ_1 + A_{2}ˏ_2 A_{3}ˏ_2 + A_{2}ˏ_3 A_{3}ˏ_3
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\end{equation}
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\]</p><pre><code class="language-julia hljs">@syms i::Int j::Int
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Symbolics.scalarize(AAt[i,j])</code></pre><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></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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Monday 18 March 2024 19:36">Monday 18 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Symbolics.scalarize(AAt[i,j])</code></pre><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></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="auto">Automatic (OS)</option><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 1.3.0 on <span class="colophon-date" title="Tuesday 19 March 2024 12:40">Tuesday 19 March 2024</span>. Using Julia version 1.10.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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