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dev/.documenter/examples/cumulants_KPO.md

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```
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\begin{align}
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\frac{d}{dt} \langle a\rangle &= - U \mathit{i} \langle a\rangle ^{2} \langle a^\dagger\rangle + \left( - U + \Delta \right) \mathit{i} \langle a\rangle -0.5 \langle a\rangle \kappa + G \mathit{i} \langle a^\dagger\rangle \\
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\frac{d}{dt} \langle a^\dagger\rangle &= - G \mathit{i} \langle a\rangle + \left( U - \Delta \right) \mathit{i} \langle a^\dagger\rangle -0.5 \kappa \langle a^\dagger\rangle + U \mathit{i} \langle a\rangle \langle a^\dagger\rangle ^{2}
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\frac{d}{dt} \langle a\rangle &= -0.5 \kappa \langle a\rangle - U \mathit{i} \langle a^\dagger\rangle \langle a\rangle ^{2} + G \mathit{i} \langle a^\dagger\rangle + \left( - U + \Delta \right) \mathit{i} \langle a\rangle \\
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\frac{d}{dt} \langle a^\dagger\rangle &= U \mathit{i} \langle a^\dagger\rangle ^{2} \langle a\rangle -0.5 \kappa \langle a^\dagger\rangle + \left( U - \Delta \right) \mathit{i} \langle a^\dagger\rangle - G \mathit{i} \langle a\rangle
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\end{align}
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```ansi
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5 algebraic equations for steady states
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Variables: aᵣ, aᵢ, aaᵣ, aaᵢ, a⁺aᵣ
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Variables: aᵣ, aᵢ, a⁺aᵣ, aaᵣ, aaᵢ
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Parameters: Δ, U, G, κ
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```

dev/.documenter/examples/forward_transmission.md

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```
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\begin{align}
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\frac{d}{dt} \langle m\rangle &= -1 i \langle c\rangle ^{2} Vk -1 i \Delta \langle m\rangle -1 i {\Omega}d -0.5 {\gamma}m \langle m\rangle \\
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\frac{d}{dt} \langle m^\dagger\rangle &= 1 i \Delta \langle m^\dagger\rangle -0.5 {\gamma}m \langle m^\dagger\rangle + 1 i {\Omega}d + 1 i Vk \langle c^\dagger\rangle ^{2} \\
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\frac{d}{dt} \langle c\rangle &= -0.5 \langle c\rangle {\gamma}k + \frac{-1}{2} i \langle c\rangle \Delta -2 i Vk \langle m\rangle \langle c^\dagger\rangle \\
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\frac{d}{dt} \langle c^\dagger\rangle &= -0.5 {\gamma}k \langle c^\dagger\rangle + \frac{1}{2} i \Delta \langle c^\dagger\rangle + 2 i \langle c\rangle \langle m^\dagger\rangle Vk
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\frac{d}{dt} \langle m\rangle &= -1 i \langle c\rangle ^{2} Vk -1 i {\Omega}d -1 i \Delta \langle m\rangle -0.5 {\gamma}m \langle m\rangle \\
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\frac{d}{dt} \langle m^\dagger\rangle &= 1 i \Delta \langle m^\dagger\rangle + 1 i Vk \langle c^\dagger\rangle ^{2} -0.5 {\gamma}m \langle m^\dagger\rangle + 1 i {\Omega}d \\
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\frac{d}{dt} \langle c\rangle &= \frac{-1}{2} i \Delta \langle c\rangle -2 i Vk \langle c^\dagger\rangle \langle m\rangle -0.5 \langle c\rangle {\gamma}k \\
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\frac{d}{dt} \langle c^\dagger\rangle &= -0.5 {\gamma}k \langle c^\dagger\rangle + 2 i \langle c\rangle Vk \langle m^\dagger\rangle + \frac{1}{2} i \Delta \langle c^\dagger\rangle
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\end{align}
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dev/.documenter/manual/API.md

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dev/.documenter/manual/SciMLExt.md

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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/419a06f9a9ecee10fff6013c23b17a8199152077/ext/ModelingToolkitExt.jl#L128" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/ext/ModelingToolkitExt.jl#L128" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/ext/ModelingToolkitExt.jl#L36" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/ext/ModelingToolkitExt.jl#L82" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/ext/ModelingToolkitExt.jl#L200" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/ext/ModelingToolkitExt.jl#L173" target="_blank" rel="noreferrer">source</a></Badge>
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dev/.documenter/manual/analyse_solutions.md

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Filtered solution vectors matching the specified criteria
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.0/src/transform_solutions.jl#L196-L215" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/transform_solutions.jl#L196-L215" target="_blank" rel="noreferrer">source</a></Badge>
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Filtered vector of each branch matching the specified criteria
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/transform_solutions.jl#L236-L255" target="_blank" rel="noreferrer">source</a></Badge>
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Return an ordered dictionary specifying all variables and parameters of the solution in `result` on `branch` at the position `index`.
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/Result.jl#L123-L140" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/Result.jl#L92-L106" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/classification.jl#L1" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/classification.jl#L43" target="_blank" rel="noreferrer">source</a></Badge>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicSteadyState.jl/blob/v0.3.1/src/classification.jl#L53" target="_blank" rel="noreferrer">source</a></Badge>
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Removes all solution branches from `res` where NONE of the solution falls into `class`. Typically used to filter out unphysical solutions to prevent huge file sizes.
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dev/.documenter/manual/extracting_harmonics.md

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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/af658aea584069264be382e3bdf4d399bc4c39ee/src/HarmonicEquation.jl#L128-L169" target="_blank" rel="noreferrer">source</a></Badge>
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