From a6f263e2130b44d661f2f3baeee2d37f461da870 Mon Sep 17 00:00:00 2001
From: Christian Grothoff <christian@grothoff.org>
Date: Thu, 13 Sep 2018 17:45:21 +0200
Subject: fix build

---
 coinselection/ilp.tex | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

(limited to 'coinselection/ilp.tex')

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.
-- 
cgit v1.2.3

