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minor corrections
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matthieu-str committed Jan 29, 2025
1 parent ea8fa2c commit e1107a9
Showing 1 changed file with 4 additions and 3 deletions.
7 changes: 4 additions & 3 deletions paper.md
Original file line number Diff line number Diff line change
Expand Up @@ -191,15 +191,15 @@ This aims to determine the maximum order of magnitude between the highest and lo
to eventually facilitate the solver convergence.

$$
lcia_{type,max}(k) = \max(lcia_{type}(j,k) \ | \ j \in TECH \cup RES) \quad \forall type \in \{infra, op\} \quad \forall k \in ENV
lcia_{type,max}(k) = \max(lcia_{type}(j,k) \ | \ j \in TECH \ \cup \ RES) \quad \forall type \in \{infra, op\} \quad \forall k \in ENV
$$

$$
lcia_{infra}^{scaled}(j,k) = lcia_{infra}^{adj}(j,k) \cdot \dfrac{lcia_{op,max}(k)}{lcia_{infra,max}(k)} \quad \forall (j,k) \in TECH \times ENV
$$

$$
lcia_{max}(k) = \max(lcia_{type,max}(j,k) \ | \ type \in \{infra, op\}, \ j \in TECH \cup RES) \quad \forall k \in ENV
lcia_{max}(k) = \max(lcia_{type,max}(j,k) \ | \ type \in \{infra, op\}, \ j \in TECH \ \cup \ RES) \quad \forall k \in ENV
$$

$$
Expand All @@ -208,7 +208,8 @@ lcia_{type}^{norm}(j,k) =
0 \text{ if } \dfrac{lcia_{type}^{(scaled)}(j,k)}{lcia_{max}(k)} \leq \epsilon \\
\dfrac{lcia_{type}^{(scaled)}(j,k)}{lcia_{max}(k)} \cdot \dfrac{lcia_{infra,max}(k)}{lcia_{op,max}(k)} \text{ else}
\end{cases}
\quad \forall (j,k) \in TECH \cup RES \times ENV \\ \quad \forall type \in \{infra, op\}
\quad \forall (j,k) \in TECH \ \cup \ RES \times ENV \\
\quad \forall type \in \{infra, op\}
$$


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