Tacit #5
The Array Cast
Exploring Higher Order Combinators in Monadic and Dyadic Patterns
This chapter delves into the concept of higher order combinators in programming languages, specifically focusing on monadic and dyadic patterns. It discusses the use of operators instead of functions that take arrays, and explores the concept of a triple conjunction and its potential applications.
Array Cast - October 13, 2023
Show Notes
[01] 00:02:40 Minnowbrook conference https://aplwiki.com/wiki/APL_Implementer%27s_Workshop
Combinators https://en.wikipedia.org/wiki/Combinatory_logic#Examples_of_combinators
Tacit Programming https://mlochbaum.github.io/BQN/doc/tacit.html
Function Composition https://aplwiki.com/wiki/Function_composition
Tacit Episodes of the ArrayCast
Tacit #4 The Dyadic Hook https://www.arraycast.com/episodes/episode17-tacit4-the-dyadic-hook
Tacit #3 And Other Topics https://www.arraycast.com/episodes/episode15-tacit-3-and-other-topics
Tacit #2 Why Tacit? https://www.arraycast.com/episodes/episode11-why-tacit
Tacit #1 Tacit Programming https://www.arraycast.com/episodes/episode-09-tacit-programming
[02] 00:03:35 Arrayground https://apps.apple.com/us/app/arrayground/id6453522556
Conor's Uiua videos
Uiua - A New Array Language https://www.youtube.com/watch?v=iTC1EiX5bM0
BQN vs. Uiua https://www.youtube.com/watch?v=pq1k5USZZ9A
BQN vs. Uiua #2 https://www.youtube.com/watch?v=SpZJxbOf_jM
[03] 00:05:41 Stanley Jordan https://en.wikipedia.org/wiki/Stanley_Jordan
April, an APL Compiler for Common Lisp https://www.youtube.com/watch?v=AUEIgfj9koc
Andrew Sengul Episode of the ArrayCast https://www.arraycast.com/episodes/episode23-andrew-sengul
Uiua Episode of the ArrayCast https://www.arraycast.com/episodes/episode63-uiua
Game videos in BQN
Snake2 in 8 Minutes https://youtu.be/tOZde7zrsLM?si=N2jTdTZBlPEleCr0 https://youtu.be/wTIlQ1Ib-zE
Snake (longer version) https://youtu.be/wTIlQ1Ib-zE
A Game implemented in APL
Draculark in APL https://medium.com/@solarbreeze69/draculark-a-mudlarking-vampire-hunting-game-bbf40361bf1a
[04] 00:09:06 Forks https://code.jsoftware.com/wiki/Vocabulary/fork
Before and After in BQN https://mlochbaum.github.io/BQN/doc/hook.html
Invisible Modifiers https://code.jsoftware.com/wiki/Vocabulary/fork#invisiblemodifiers
Peter Mikkelson
https://pmikkelsen.com
https://www.dyalog.com/blog/2022/11/welcome-peter-mikkelsen/
[05] 00:14:52 Atop in J https://code.jsoftware.com/wiki/Vocabulary/at
Compose (Over) in J https://code.jsoftware.com/wiki/Vocabulary/ampv
Atop and Over BQN https://mlochbaum.github.io/BQN/doc/compose.htm
l
[06] 00:17:04 Henry Rich Episodes on the ArrayCast
Fold in J https://www.arraycast.com/episodes/episode50-fold
Henry Rich - Threads in J9.4 https://www.arraycast.com/episodes/episode48-henry-rich
Henry Rich presents J903 https://www.arraycast.com/episodes/episode18-henry-rich-presents-j903
Henry Rich's Deep Dive into J https://www.arraycast.com/episodes/episode-06-henry-richs-deep-dive-into-j
Invisible Modifiers Table https://code.jsoftware.com/wiki/Vocabulary/fork#invisiblemodifiers
Seymour Papert https://en.wikipedia.org/wiki/Seymour_Papert
[07] 00:20:10 NuVoc https://code.jsoftware.com/wiki/Vocabulary
Forks https://code.jsoftware.com/wiki/Vocabulary/fork
Modifier Trains https://code.jsoftware.com/wiki/Vocabulary/fork#invisiblemodifiers
Modifier Train Exploration https://code.jsoftware.com/wiki/Vocabulary/ModifierTrains
Modifier Train Exploration Discussion https://code.jsoftware.com/wiki/Talk:Vocabulary/ModifierTrains
[08] 00:24:23 Atop APL Paw glyph https://aplwiki.com/wiki/Atop_(operator)
Over APL Hoof glyph https://aplwiki.com/wiki/Over
[09] 00:44:44 Arity of functions https://en.wikipedia.org/wiki/Arity
Conjugate Monadic + https://code.jsoftware.com/wiki/Vocabulary/plus
Plus Dyadic + https://code.jsoftware.com/wiki/Vocabulary/plus#dyadic
[10] 00:54:55 Forks in the KAP Programming Language https://kapdemo.dhsdevelopments.com/kap-comparison.html#_fork
Forks modelled in the dfns workspace http://dfns.dyalog.com/n_fork.htm
[11] 01:00:35 Kadane's Algorithm https://en.wikipedia.org/wiki/Maximum_subarray_problem
[12] 01:06:24 Pepe's Trains - Past, Present and ... https://www.jsoftware.com/pipermail/programming/2017-October/049263.html
[13] 01:10:47 Dyadic Or BQN https://mlochbaum.github.io/BQN/doc/logic.html
Monadic Sort BQN https://mlochbaum.github.io/BQN/doc/order.html
[14] 01:15:23 Signum Monadic * https://code.jsoftware.com/wiki/Vocabulary/star
Times Dyadic * https://code.jsoftware.com/wiki/Vocabulary/star#dyadic
[15] 01:18:20 Jelly programming language
https://github.com/DennisMitchell/jellylanguage
https://aplwiki.com/wiki/Jelly
[16] 01:25:14 Zilde Empty https://aplwiki.com/wiki/Zilde
BQN's Nothing https://mlochbaum.github.io/BQN/help/nothing.html
Monadic and Dyadic Meanings https://aplwiki.com/wiki/Mnemonics#Pairing_monadic_and_dyadic_meanings
Overloading in BQN https://mlochbaum.github.io/BQN/commentary/overload.html
q Programming Language https://code.kx.com/q/
Overloading in q https://code.kx.com/q/ref/overloads
q Unary Forms https://code.kx.com/q/basics/exposed-infrastructure/#unary-forms
[17] 01:30:56 Michael Higginson Episode of ArrayCast https://www.arraycast.com/episodes/episode46-michael-higginson
Lynn Sutherland Nial Episode of ArrayCast https://www.arraycast.com/episodes/episode61-lynn-sutherland-and-nial
NARS2000 Programming Language https://www.nars2000.org/
Hyperators in NARS2000 https://wiki.nars2000.org/index.php?title=Anonymous_Functions/Operators/Hyperators
Hyperators in Dyalog https://dfns.dyalog.com/n_hyperators.htm
[18] 01:41:46 Category Theory https://en.wikipedia.org/wiki/Category_theory
[19] 01:45:25 Contact AT ArrayCast DOT Com
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