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Improved formatting
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adityam committed Oct 6, 2023
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Expand Up @@ -430,10 +430,13 @@ $$ L_V = \frac{L_c}{1 - γ L_p}. $$
The Lipschitz constant of $Q$ follows from @lem-lipschitz-LQ.
:::

:::{.callout-tip}
### Example
As discussed in @exm-lipschitz-inventory, the inventory management example is $(p + \max\{c_h,c_s\}, 1)$-Lipschitz. Therefore, @thm-lipschitz-opt implies that the value function of the inventory management problem is $L_V$-Lipschitz with
$$
L_V = \frac{p + \max\{ c_h + c_s \}}{1 - γ}.
$$
:::


:::{#thm-lipschitz}
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