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Fix malformed LaTeX #1257

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Mar 14, 2024
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6 changes: 3 additions & 3 deletions docs/core/equations.qmd
Original file line number Diff line number Diff line change
Expand Up @@ -449,7 +449,7 @@ $$
# UserDemand allocation
UserDemands have an allocated flow rate $F^p$ per priority $p=1,2,\ldots, p_{\max}$, which is either determined by [allocation optimization](allocation.qmd) or simply equal to the demand at time $t$; $F^p = d^p(t)$. The actual abstraction rate of a UserDemand is given by
$$
Q_\text{user_demand, in} = \phi(u, 10.0)\phi(h-l_{\min}, 0.1)\sum_{p=1}^{p_{\max}} \min\left(F^p, d^p(t)\right).
Q_\text{userdemand, in} = \phi(u, 10.0)\phi(h-l_{\min}, 0.1)\sum_{p=1}^{p_{\max}} \min\left(F^p, d^p(t)\right).
$$

From left to right:
Expand All @@ -461,10 +461,10 @@ From left to right:
UserDemands also have a return factor $0 \le r \le 1$, which determines the return flow (outflow) of the UserDemand:

$$
Q_\text{user_demand, out} = r \cdot Q_\text{user_demand, in}.
Q_\text{user_demand, out} = r \cdot Q_\text{userdemand, in}.
$$

Note that this means that the user_demand has a consumption rate of $(1-r)Q_\text{user_demand, in}$.
Note that this means that the user_demand has a consumption rate of $(1-r)Q_\text{userdemand, in}$.

# PID controller {#sec-PID}

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