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correcting max-flow problem in MILP tutorial #38557

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correcting max-flow problem in MILP tutorial #38557

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101f57e
tdf #35497 correcting max-flow problem in MILP tutorial
anshu129 Aug 23, 2024
75e85d3
changing latex func in linear_programming.rst
anshu129 Aug 24, 2024
8e18c5f
correcting the latex function
anshu129 Aug 24, 2024
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4 changes: 2 additions & 2 deletions src/doc/en/thematic_tutorials/linear_programming.rst
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Original file line number Diff line number Diff line change
Expand Up @@ -386,7 +386,7 @@ just as much as they receive. We can model the flow problem with the
following LP

.. MATH::
\text{Max: } & \sum_{sv \in G} f_{sv}\\
\text{Max: } & \sum_{su \in G} f_{su} - \sum_{vs \in G} f_{vs}\\
\text{Such that: } & \forall v \in G, {\substack{v \neq s \\ v \neq t}}, \sum_{vu \in G} f_{vu} - \sum_{uv \in G} f_{uv} = 0\\
& \forall uv \in G, f_{uv} \leq 1\\

Expand Down Expand Up @@ -425,7 +425,7 @@ graph, in which all the edges have a capacity of 1::

::

sage: p.set_objective(p.sum(f[s,u] for u in g.neighbors_out(s)))
sage: p.set_objective(p.sum(f[s,u] for u in g.neighbors_out(s)) - p.sum(f[v,s] for v in g.neighbors_in(s)))

.. link

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2 changes: 1 addition & 1 deletion src/sage/tests/books/computational-mathematics-with-sagemath/lp_doctest.py
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Expand Up @@ -187,7 +187,7 @@

Sage example in ./lp.tex, line 684::

sage: p.set_objective(p.sum( f[s,u] for u in g.neighbors_out(s)))
sage: p.set_objective(p.sum( f[s,u] for u in g.neighbors_out(s)) - p.sum(f[v,s] for v in g.neighbors_in(s)))

Sage example in ./lp.tex, line 687::

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