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| 2024-12-29 02:37:53 +0100 | acidjnk_new3 | (~acidjnk@p200300d6e7283f42bc4ebb891d7561a4.dip0.t-ipconnect.de) (Ping timeout: 248 seconds) |
| 2024-12-29 02:36:55 +0100 | <hololeap> | ok I think I see what you mean |
| 2024-12-29 02:35:06 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 02:32:11 +0100 | <ncf> | i.e. applicative functors are monoids in the category of endofunctors *with Day convolution as the monoidal product* |
| 2024-12-29 02:31:34 +0100 | <ncf> | well that doesn't tell you which monoidal structure you put on it |
| 2024-12-29 02:31:29 +0100 | <hololeap> | (I barely understand this stuff so don't take me too seriously) |
| 2024-12-29 02:30:10 +0100 | <hololeap> | isn't that usually just referred to as "the category of endofunctors" |
| 2024-12-29 02:28:29 +0100 | <ncf> | i.e. the endomorphism monoidal category on Set in the bicategory of categories |
| 2024-12-29 02:27:24 +0100 | <ncf> | composition of endofunctors |
| 2024-12-29 02:27:14 +0100 | <ncf> | with composition as the monoidal product |
| 2024-12-29 02:26:37 +0100 | <hololeap> | "with composition" seems like it would be redundant. isn't that implied by it being a category? |
| 2024-12-29 02:25:55 +0100 | Smiles | (uid551636@id-551636.lymington.irccloud.com) Smiles |
| 2024-12-29 02:23:42 +0100 | <ncf> | (the one that monads are just monoids in) |
| 2024-12-29 02:23:31 +0100 | <ncf> | i guess the one-sentence definition of an indexed monad is "category enriched in the monoidal category of endofunctors with composition" |
| 2024-12-29 02:22:35 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 260 seconds) |
| 2024-12-29 02:18:58 +0100 | sprotte24 | (~sprotte24@p200300d16f0bfe00711e65c2b30202f1.dip0.t-ipconnect.de) (Read error: Connection reset by peer) |
| 2024-12-29 02:17:48 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 02:08:03 +0100 | foul_owl | (~kerry@193.42.0.124) foul_owl |
| 2024-12-29 02:06:29 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 248 seconds) |
| 2024-12-29 02:01:45 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 01:54:26 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 252 seconds) |
| 2024-12-29 01:53:49 +0100 | foul_owl | (~kerry@174-21-81-201.tukw.qwest.net) (Ping timeout: 252 seconds) |
| 2024-12-29 01:49:49 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 01:43:41 +0100 | Everything | (~Everythin@195.138.86.118) (Quit: leaving) |
| 2024-12-29 01:42:13 +0100 | Tuplanolla | (~Tuplanoll@91-159-69-59.elisa-laajakaista.fi) (Quit: Leaving.) |
| 2024-12-29 01:42:11 +0100 | mhatta | (~mhatta@www21123ui.sakura.ne.jp) |
| 2024-12-29 01:42:05 +0100 | <ncf> | there's some motivation here https://stackoverflow.com/questions/28690448/what-is-indexed-monad |
| 2024-12-29 01:40:41 +0100 | <ncf> | are you thinking of exofunctors or something |
| 2024-12-29 01:40:15 +0100 | <geekosaur> | maybe I'm completely confused, that was what I thought (part of) the point of it was |
| 2024-12-29 01:38:30 +0100 | <ncf> | geekosaur: i don't think Set is an indexed monad? |
| 2024-12-29 01:37:53 +0100 | mhatta | (~mhatta@www21123ui.sakura.ne.jp) (Remote host closed the connection) |
| 2024-12-29 01:36:59 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 265 seconds) |
| 2024-12-29 01:32:26 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 01:27:21 +0100 | wootehfoot | (~wootehfoo@user/wootehfoot) (Quit: pillow time) |
| 2024-12-29 01:25:43 +0100 | <hololeap> | it reminds me of (.|) :: Monad m => ConduitT a b m () -> ConduitT b c m r -> ConduitT a c m r |
| 2024-12-29 01:19:36 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) (Ping timeout: 276 seconds) |
| 2024-12-29 01:18:37 +0100 | ljdarj1 | ljdarj |
| 2024-12-29 01:18:37 +0100 | ljdarj | (~Thunderbi@user/ljdarj) (Ping timeout: 265 seconds) |
| 2024-12-29 01:16:18 +0100 | tromp | (~textual@92-110-219-57.cable.dynamic.v4.ziggo.nl) (Client Quit) |
| 2024-12-29 01:15:48 +0100 | ljdarj1 | (~Thunderbi@user/ljdarj) ljdarj |
| 2024-12-29 01:15:16 +0100 | tromp | (~textual@92-110-219-57.cable.dynamic.v4.ziggo.nl) |
| 2024-12-29 01:12:08 +0100 | merijn | (~merijn@128-137-045-062.dynamic.caiway.nl) merijn |
| 2024-12-29 01:11:01 +0100 | alp | (~alp@128-79-174-146.hfc.dyn.abo.bbox.fr) (Ping timeout: 248 seconds) |
| 2024-12-29 01:10:48 +0100 | todi | (~todi@p57803331.dip0.t-ipconnect.de) (Ping timeout: 252 seconds) |
| 2024-12-29 01:09:58 +0100 | todi1 | (~todi@p57803331.dip0.t-ipconnect.de) |
| 2024-12-29 01:08:22 +0100 | <geekosaur> | and I think mathematically (but sadly not in Haskell's type system) if i == j then it should reduce to a normal non-indexed monad |
| 2024-12-29 01:07:45 +0100 | <geekosaur> | more generally, a would be Map k v, b would be Map k' v', i is k and j is k' |
| 2024-12-29 01:06:39 +0100 | iteratee | (~kyle@162.218.222.207) (Remote host closed the connection) |
| 2024-12-29 01:05:17 +0100 | <haskellbridge> | <thirdofmay18081814goya> hm right |
| 2024-12-29 01:02:54 +0100 | <geekosaur> | (meaning i, j, k are the key types since those specify the Ord instances, again AIUI) |