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`

Bartosz Milewski @BartoszMilewski@mathstodon.xyz

6/12/2025, 4:23:54 PM

Public

\[ (C(I, -) \star G) x = \int^{a, b} C (a \otimes b, x) \times C(I, a) \times G b \]

\[ \cong \int^{b} C (I \otimes b, x) \times G b \cong G x\]
So the unit of Day convolution is the Yoneda functor taken at monoidal unit, \(C(I, -)\), which lends itself to the anagrammatic slogan, "ONE of DAY is the YONEDA of ONE."

If you have a fediverse account, you can quote this note from your own instance. Search https://mathstodon.xyz/users/BartoszMilewski/statuses/114671316809817615 on your instance and quote it. (Note that quoting is not supported in Mastodon.)