Home liberachat/#haskell: Logs Calendar

Logs on 2025-02-04 (liberachat/#haskell)

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03:30:45 <sim590> I'm trying to enable math equations inside my haddock documentation, but it doesn't work? I'm following the documentation here https://haskell-haddock.readthedocs.io/latest/markup.html. I tried \[...\] and \(...\). Nothing works. I ran with --mathjax URL param: cabal v2-haddock --haddock-option=--mathjax=https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js and without. Doesn't work.
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03:34:25 <sim590> I remember I used to be able to do it a couple years ago. Dunno why it doesn't work anymore.
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03:47:05 <sim590> OK, so that's weird, but mathjax doesn't work when viewing the index.html file locally. It does work when it's in the package candidate though.
03:49:05 <geekosaur> that may be your browser, some of them restrict what a local file is allowed to do
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03:53:38 <sim590> Indeed, it is my browser. I just tried with chromium and it works. Damn. I didn't thought of that first.
03:54:22 <sim590> I was literally diffing the two HTML files and looking for clues... In the end, it was simpler..
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06:37:16 <haskellbridge> <Axman6> I may no enjoy python... but being able to import a debugger in the middle of a broken piece of code and step through things is pretty nice.
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10:13:35 <dminuoso> 22:39:55 tomsmeding │ it really is more powerful
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10:14:22 <dminuoso> I started to wonder what fundamental reason there is why State and Reader behave differently this way.
10:14:53 <dminuoso> I may have to revisit my category theory days.
10:20:15 <dminuoso> Mmm, I suppose if one things of State as just Reader and Writer combined, this becomes clear already.
10:20:19 <dminuoso> s/things/thinks.
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10:34:26 <Leary> dminuoso: Since you were talking about adjunctions in offtopic: `Writer s : Hask <-> Hask : Reader s`, for which `State s` is the corresponding monad: `State s = Reader s . Writer s`. These facts guarantee that `State` composes (not left or right, but /adjunctionally/) with any other monad on `Hask`, giving us: `StateT s f = Reader s . f . Writer s`.
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19:00:49 <monochrom> Writer presumes that s is a monoid but State doesn't. How does that adjunction work?
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19:05:46 <ncf> Writer does not come from an adjunction on Hask (at least not obviously)
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19:14:44 <ncf> a categorical way to see Writer is the following: given any monoidal category (C, ⊗) and monoid object M in C, there's an action monad M ⊗ — whose multiplication is given by the multiplication of M (and similarly for the unit)
19:15:09 <ncf> so Writer m is the action monad of m for the cartesian monoidal structure on Hask
19:15:50 <ncf> now since Writer m has a right adjoint (Reader m), this is even an *adjoint monad* https://ncatlab.org/nlab/show/adjoint+monad, which automatically makes Reader m a comonad
19:16:25 <ncf> (this one https://hackage.haskell.org/package/comonad-5.0.9/docs/src/Control.Comonad.html#line-156)
19:17:00 <ncf> but Reader r is also a monad without assuming that r is a monoid, and this can be explained dually
19:17:29 <ncf> namely, any *co*monoid object R in a monoidal category has an action *comonad* R ⊗ —
19:18:13 <ncf> and every object in Hask has a unique trivial comonoid structure for the cartesian monoidal structure, so you get Comonad ((,) r) for any r (this instance https://hackage.haskell.org/package/comonad-5.0.9/docs/src/Control.Comonad.html#line-156)
19:19:41 <ncf> now i want to claim that this is a left adjoint comonad and thus the right adjoint Reader r has a monad structure, which would be the usual Reader monad
19:19:47 <ncf> but i'm not 100% sure this is true
19:21:01 <ncf> ok now i'm sure
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19:21:55 <ncf> (the subtlety is that left adjoint monads are not dual to right adjoint monads in the 1-categorical sense; you have to dualise at the 2-categorical level for this to work out, but it's really the same idea)
19:24:06 <monochrom> IIRC the correct pair of adjunction is Reader s and (s,), treating (s,) as just the obvious functor but it doesn't need to be a monad so we don't need s to be a monoid.
19:24:46 <monochrom> But yikes, 2-categories haha (dies inside).
19:25:00 <monochrom> But I guess Moggi said "I told you so".
19:25:22 <ncf> yes the adjunction comes before any monad or comonad structure
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19:26:26 <ncf> ...on reader or writer. in a sense you could say that state is more fundamental than the reader/writer monads/comonads
19:27:01 <ncf> (and let's not forget the comonad that comes from the (r →) ⊣ (r, ) adjunction, the store comonad)
19:32:29 <monochrom> Ah OK right, (s,) is Writer if we just need the functor part. OK I'm happy now, sorry for all the disagreements!
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20:08:58 <ncf> (i meant (r,) ⊣ (r →))
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