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[scalar_dynam] add explanation to parameters and add explanation of k (#529)
* add explanation to parameters and add explanation of k * update
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Diff for: lectures/scalar_dynam.md

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@@ -220,11 +220,12 @@ For example, in a later lecture {doc}`solow`, we will study the Solow-Swan growt
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```{math}
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:label: solow_lom2
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k_{t+1} = s z k_t^{\alpha} + (1 - \delta) k_t
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k_{t+1} = s A k_t^{\alpha} + (1 - \delta) k_t
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```
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Here $k$ is the per capita capital stock and $s, z, \alpha, \delta$ are positive
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parameters with $0 < \alpha, \delta < 1$.
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Here $k=K/L$ is the per capita capital stock, $s$ is the saving rate, $A$ is the total factor productivity, $\alpha$ is the capital share, and $\delta$ is the depreciation rate.
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All these parameter are positive and $0 < \alpha, \delta < 1$.
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If you try to iterate like we did in {eq}`sdslinmodpath`, you will find that
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the algebra gets messy quickly.

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