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dev/.documenter/examples/cumulants_KPO.md

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@@ -40,8 +40,8 @@ eqs_completed_RWA = complete(eqs_RWA)
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```
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\begin{align}
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\frac{d}{dt} \langle a\rangle &= G \mathit{i} \langle a^\dagger\rangle -0.5 \langle a\rangle \kappa - U \mathit{i} \langle a^\dagger\rangle \langle a\rangle ^{2} + \left( - U + \Delta \right) \mathit{i} \langle a\rangle \\
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\frac{d}{dt} \langle a^\dagger\rangle &= \left( U - \Delta \right) \mathit{i} \langle a^\dagger\rangle + U \mathit{i} \langle a^\dagger\rangle ^{2} \langle a\rangle - G \mathit{i} \langle a\rangle -0.5 \langle a^\dagger\rangle \kappa
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\frac{d}{dt} \langle a\rangle &= -0.5 \langle a\rangle \kappa - U \mathit{i} \langle a\rangle ^{2} \langle a^\dagger\rangle + \left( - U + \Delta \right) \mathit{i} \langle a\rangle + G \mathit{i} \langle a^\dagger\rangle \\
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\frac{d}{dt} \langle a^\dagger\rangle &= - G \mathit{i} \langle a\rangle + U \mathit{i} \langle a\rangle \langle a^\dagger\rangle ^{2} -0.5 \kappa \langle a^\dagger\rangle + \left( U - \Delta \right) \mathit{i} \langle a^\dagger\rangle
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\end{align}
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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 \Delta \langle m\rangle -1 i \langle c\rangle ^{2} Vk -1 i {\Omega}d -0.5 {\gamma}m \langle m\rangle \\
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\frac{d}{dt} \langle m^\dagger\rangle &= 1 i \langle c^\dagger\rangle ^{2} Vk + 1 i {\Omega}d + 1 i \Delta \langle m^\dagger\rangle -0.5 {\gamma}m \langle m^\dagger\rangle \\
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\frac{d}{dt} \langle c\rangle &= -2 i \langle c^\dagger\rangle \langle m\rangle Vk -0.5 \langle c\rangle {\gamma}k + \frac{-1}{2} i \Delta \langle c\rangle \\
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\frac{d}{dt} \langle c^\dagger\rangle &= \frac{1}{2} i \langle c^\dagger\rangle \Delta + 2 i \langle m^\dagger\rangle \langle c\rangle Vk -0.5 \langle c^\dagger\rangle {\gamma}k
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\frac{d}{dt} \langle m\rangle &= -0.5 {\gamma}m \langle m\rangle -1 i \Delta \langle m\rangle -1 i {\Omega}d -1 i Vk \langle c\rangle ^{2} \\
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\frac{d}{dt} \langle m^\dagger\rangle &= 1 i Vk \langle c^\dagger\rangle ^{2} + 1 i {\Omega}d -0.5 {\gamma}m \langle m^\dagger\rangle + 1 i \langle m^\dagger\rangle \Delta \\
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\frac{d}{dt} \langle c\rangle &= -2 i Vk \langle m\rangle \langle c^\dagger\rangle + \frac{-1}{2} i \Delta \langle c\rangle -0.5 {\gamma}k \langle c\rangle \\
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\frac{d}{dt} \langle c^\dagger\rangle &= 2 i \langle m^\dagger\rangle Vk \langle c\rangle + \frac{1}{2} i \Delta \langle c^\dagger\rangle -0.5 {\gamma}k \langle c^\dagger\rangle
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\end{align}
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Harmonic equations:
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1.4142135623730951(-0.35355339059327373mᵣ(t)*γm - 0.7071067811865475mᵢ(t)*Δ - 0.9999999999999998Vk*cᵣ(t)*cᵢ(t)) ~ Differential(t)(mᵣ(t))
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-0.5mᵣ(t)*γm - mᵢ(t)*Δ - 2.0Vk*cᵣ(t)*cᵢ(t) ~ Differential(t)(mᵣ(t))
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-1.4142135623730951(-Ωd - 0.7071067811865475mᵣ(t)*Δ + 0.35355339059327373mᵢ(t)*γm - 0.4999999999999999Vk*(cᵣ(t)^2) + 0.4999999999999999Vk*(cᵢ(t)^2)) ~ Differential(t)(mᵢ(t))
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Ωd + mᵣ(t)*Δ - 0.5mᵢ(t)*γm + Vk*(cᵣ(t)^2) - Vk*(cᵢ(t)^2) ~ Differential(t)(mᵢ(t))
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1.4142135623730951(-0.35355339059327373cᵣ(t)*γk - 0.35355339059327373cᵢ(t)*Δ - 0.9999999999999998Vk*cᵣ(t)*mᵢ(t) + 0.9999999999999998Vk*mᵣ(t)*cᵢ(t)) ~ Differential(t)(cᵣ(t))
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-0.5cᵣ(t)*γk - 0.5cᵢ(t)*Δ - 2.0Vk*cᵣ(t)*mᵢ(t) + 2.0Vk*mᵣ(t)*cᵢ(t) ~ Differential(t)(cᵣ(t))
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-1.4142135623730951(-0.35355339059327373cᵣ(t)*Δ + 0.35355339059327373cᵢ(t)*γk - 0.9999999999999998Vk*cᵣ(t)*mᵣ(t) - 0.9999999999999998Vk*cᵢ(t)*mᵢ(t)) ~ Differential(t)(cᵢ(t))
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0.5cᵣ(t)*Δ - 0.5cᵢ(t)*γk + 2.0Vk*cᵣ(t)*mᵣ(t) + 2.0Vk*cᵢ(t)*mᵢ(t) ~ Differential(t)(cᵢ(t))
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```
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dev/.documenter/introduction/index.md

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```
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You can check which version you have installled with the command
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You can check which version you have installed with the command
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```julia
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julia> ]

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/70abfcde57e7b56b81cc5c04023b9238d51c1172/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/c1c19d34d645502b0638944cf9d6f7902605114f/ext/ModelingToolkitExt.jl#L128" target="_blank" rel="noreferrer">source</a></Badge>
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</details>
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<Badge type="info" class="source-link" text="source"><a href="https://github.com/QuantumEngineeredSystems/HarmonicBalance.jl/blob/70abfcde57e7b56b81cc5c04023b9238d51c1172/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/c1c19d34d645502b0638944cf9d6f7902605114f/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/70abfcde57e7b56b81cc5c04023b9238d51c1172/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/c1c19d34d645502b0638944cf9d6f7902605114f/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/70abfcde57e7b56b81cc5c04023b9238d51c1172/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/c1c19d34d645502b0638944cf9d6f7902605114f/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/70abfcde57e7b56b81cc5c04023b9238d51c1172/ext/ModelingToolkitExt.jl#L173" 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/c1c19d34d645502b0638944cf9d6f7902605114f/ext/ModelingToolkitExt.jl#L173" target="_blank" rel="noreferrer">source</a></Badge>
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</details>
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