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More... again... new hope to correct further.md
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jajhall committed Nov 25, 2024
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12 changes: 4 additions & 8 deletions docs/src/guide/further.md
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Expand Up @@ -150,17 +150,13 @@ priority values must be distinct_.
* Minimize/maximize with respect to the linear objective of highest priority value, according to whether its `weight` is positive/negative

* Add a constraint to the model so that the value of the linear objective of highest priority satsifies a bound given by the values of `abs_tolerance` and/or `rel_tolerance`.
+ If the objective was minimized to a value ``f^*\ge0``, then the constraint ensures that the this objective value is no greater than
``\min(f^*+abs\_tolerance,~f^*\times[1+rel\_tolerance]).``
+ If the objective was minimized to a value ``f^*\ge0``, then the constraint ensures that the this objective value is no greater than ``\min(f^*+abs\_tolerance,~f^*\times[1+rel\_tolerance]).``

+ If the objective was minimized to a value ``f^*<0``, then the constraint ensures that the this objective value is no greater than
``\min(f^*+abs\_tolerance,~f^*\times[1-rel\_tolerance]).``
+ If the objective was minimized to a value ``f^*<0``, then the constraint ensures that the this objective value is no greater than ``\min(f^*+abs\_tolerance,~f^*\times[1-rel\_tolerance]).``

+ If the objective was maximized to a value ``f^*\ge0``, then the constraint ensures that the this objective value is no less than
``\max(f^*-abs\_tolerance,~f^*\times[1-rel\_tolerance]).``
+ If the objective was maximized to a value ``f^*\ge0``, then the constraint ensures that the this objective value is no less than ``\max(f^*-abs\_tolerance,~f^*\times[1-rel\_tolerance]).``

+ If the objective was maximized to a value ``f^*<0``, then the constraint ensures that the this objective value is no less than
``\max(f^*-abs\_tolerance,~f^*\times[1+rel\_tolerance]).``
+ If the objective was maximized to a value ``f^*<0``, then the constraint ensures that the this objective value is no less than ``\max(f^*-abs\_tolerance,~f^*\times[1+rel\_tolerance]).``

* Minimize/maximize with respect to the linear objective of next highest priority, and then add a corresponding objective constraint to the model, repeating until optimization with respect to the linear objective of lowest priority has taken place.

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