Hackers' Pub

Syntax	Description	Examples
`"` keyword `"`	Finds the string within quotes, including spaces. Case-insensitive. (Escape quotes inside with `\"`)	`"Hackers' Pub"`
`from:` handle	Finds content written by the specified user.	`from:hongminhee` `from:hongminhee@hollo.social`
`lang:` ISO 639-1	Finds content written in the specified language.	`lang:en`
`#` tag	Finds content with the specified tag. Case-insensitive.	`#HackersPub`
condition condition	Finds content that satisfies both conditions on either side of the space (logical AND).	`"Hackers' Pub" lang:en`
condition `OR` condition	Finds content that satisfies at least one of the conditions on either side of the OR operator (logical OR).	`#HackersPub OR "Hackers' Pub" lang:en`
`(` condition `)`	Combines the operators within the parentheses first.	`(#HackersPub OR "Hackers' Pub" OR "Hackers Pub") lang:en`

José A. Alonso @Jose_A_Alonso@mathstodon.xyz

7/17/2025, 7:30:45 AM

Public

Duality theory in linear optimization and its extensions (formally verified). ~ Martin Dvorak, Vladimir Kolmogorov. https://arxiv.org/abs/2409.08119 #ITP #LeanProver #Math

Duality theory in linear optimization and its extensions -- formally verified

Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take ``infinite values''.

arxiv.org · arXiv.org

If you have a fediverse account, you can quote this note from your own instance. Search https://mathstodon.xyz/users/Jose_A_Alonso/statuses/114867401256061199 on your instance and quote it. (Note that quoting is not supported in Mastodon.)