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authorChristian Grothoff <christian@grothoff.org>2018-09-13 17:45:21 +0200
committerChristian Grothoff <christian@grothoff.org>2018-09-13 17:45:21 +0200
commita6f263e2130b44d661f2f3baeee2d37f461da870 (patch)
treebfc5d76b7c56d539f465e103332c484bafac81be
parenteb4bb1e940b223d9c508733aaa3700701f51e986 (diff)
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fix build
-rw-r--r--coinselection/ilp.tex8
1 files changed, 4 insertions, 4 deletions
diff --git a/coinselection/ilp.tex b/coinselection/ilp.tex
index 5d65ae5..7070897 100644
--- a/coinselection/ilp.tex
+++ b/coinselection/ilp.tex
@@ -59,13 +59,13 @@ Simple model:
- \sum_{c \in {\cal C}} n_c \cdot \alpha \\
\texttt{such that} \quad
\bigwedge_{c \in {\cal C}} n_c \cdot (d_c + f^{withdraw}_c) &\le w \label{eq:sound} \\
- n_c &\in {\mathbb N}_0 \label{eq:nc}
+ n_c &\in {\mathbb N}_0 \label{eq:nc1}
\end{align}
Explanations:
\begin{description}
\item[\eqref{eq:sound}] The withdraw operation is within the budget constraints.
-\item[\eqref{eq:nc}] Force selected coins to be a discrete number.
+\item[\eqref{eq:nc1}] Force selected coins to be a discrete number.
\end{description}
The above model fails to consider expiration periods of
@@ -135,9 +135,9 @@ Explanations:
than we have in the wallet.
\item[\eqref{eq:amount}] The merchant requires that the amount we pay exceeds the contract
amount, irrespective of fees which the merchant may cover.
-\item[\eqref{eq:}] The merchant requires that we pay any left-over fees that are not covered
+\item[\eqref{eq:fees}] The merchant requires that we pay any left-over fees that are not covered
by the merchant.
-\item[\eqref{eq:}] Force $\tau$ to be 1 if we pay more than the contract amount (i.e. we cover
+\item[\eqref{eq:tau}] Force $\tau$ to be 1 if we pay more than the contract amount (i.e. we cover
fees or otherwise simply pay more than necessary).
\item[\eqref{eq:bin}] Force $\tau$ to be 0 or 1 as per our model.
\item[\eqref{eq:nc}] Force selected coins to be a discrete number.