The Evolution of Mathematical Notations

Array Cast - April 14, 2023
Show Notes

Thanks to Bob Therriault and Adám Brudzewsky for gathering these links:

[01] 00:01:37 APLSeeds 2023: https://dyalog.tv/APLSeeds23
              APL Germany Spring meeting: https://apl-germany.de/apl-germany-fruehjahrstagung-2023/
              APL Show Episode "Change the Way You Think - Part 1": https://apl.show/2023/03/09/Reaction-to-Change-the-way-you-write-Change-the-way-you-think-part-1.html
              APL Show Episode "Change the Way You Think - Part 2": https://apl.show/2023/03/30/Reaction-to-Change-the-way-you-write-Change-the-way-you-think-part-2.html
              Fold and Other Conjunctions ArrayCast Episode: https://www.arraycast.com/episodes/episode50-fold
[02] 00:10:05 Perlis "A programming language is low level when it demands attention to the irrelevant" https://www.brainyquote.com/quotes/alan_perlis_177161
[03] 00:11:25 Smalltalk Programming Language: https://en.wikipedia.org/wiki/Smalltalk
              Lisp Programming Language: https://en.wikipedia.org/wiki/Lisp_(programming_language)
              Haskell Programming Language: https://en.wikipedia.org/wiki/Haskell
[04] 00:21:30 J forums: https://code.jsoftware.com/wiki/System/Forums
[05] 00:35:40 J Incunabulum: https://code.jsoftware.com//wiki/Essays/Incunabulum
              Inuit Number System: https://www.scientificamerican.com/article/a-number-system-invented-by-inuit-schoolchildren-will-make-its-silicon-valley-debut/
[06] 00:39:10 Roman Numerals: https://en.wikipedia.org/wiki/Roman_numerals
              A History of Mathematical Notations: https://www.amazon.com/History-Mathematical-Notations-Dover-Mathematics/dp/0486677664
[07] 00:43:10 Danish Vigesimal System: https://en.wikipedia.org/wiki/Numeral_(linguistics)#20:_vigesimal
[08] 00:44:20 Glyphs in the Array Languages: https://aplwiki.com/wiki/Glyph
[09] 00:48:20 Dyalog APL Mix: https://aplwiki.com/wiki/Mix
              Dyalog APL Split: https://aplwiki.com/wiki/Split
              J Less Than: https://code.jsoftware.com/wiki/Vocabulary/lt#dyadic
              J Lesser of: https://code.jsoftware.com/wiki/Vocabulary/ltdot#dyadic
[10] 00:50:53 Dyalog APL Dyadic Transpose: https://aplwiki.com/wiki/Transpose
                           BQN Dyadic Transpose: https://mlochbaum.github.io/BQN/doc/transpose.html#reorder-axes

https://code.jsoftware.com/wiki/Vocabulary/barco#dyadic
              J Dyadic Transpose: https://code.jsoftware.com/wiki/Vocabulary/barco#dyadic
              Transpose ArrayCast Episode: https://www.arraycast.com/episodes/episode29-transpose
[11] 00:54:22 Chris Pearson's Post "We Need to Talk about Group": https://gist.github.com/chrispsn/3450fe6172a7cc441d0819379ed3a32a
[12] 00:57:21 Contact AT ArrayCast DOT Com
[13] 01:02:05 Combinators in BQN: https://mlochbaum.github.io/BQN/tutorial/combinator.html
[14] 01:03:33 Stephen's Blog Post: https://www.5jt.com/the-rest-is-silence