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feature(Order/Monotone/Basic): Separately monotone iff jointly monotone #20254

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@mans0954 mans0954 commented Dec 26, 2024

A function on a product space is separately monotone if and only if it is jointly monotone.

Similarly for antitone functions.

Inspired by #15412


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github-actions bot commented Dec 26, 2024

PR summary d796369506

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ antitone_separately_iff_jointly
+ monotone_separately_iff_jointly

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions bot added the t-order Order theory label Dec 26, 2024
@mans0954 mans0954 changed the title feature(Order/Monotone/Basic): Separately monotone functions are jointly monotone feature(Order/Monotone/Basic): Separately monotone iff jointly monotone Dec 26, 2024
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@Ruben-VandeVelde Ruben-VandeVelde left a comment

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Makes sense, I think. Just nitpicks below

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@Ruben-VandeVelde Ruben-VandeVelde added the awaiting-author A reviewer has asked the author a question or requested changes label Jan 10, 2025
@mans0954 mans0954 removed the awaiting-author A reviewer has asked the author a question or requested changes label Jan 10, 2025
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2 participants