A podcast that explores the world of array programming languages including APL, J, BQN, K, Q, Uiua and more!
Host: Conor Hoekstra is the host of ArrayCast, ADSP, and Tacit Talk (all podcasts) and runs the code_report YouTube channel.
Panelists:
Adám Brudzewsky is head of language design at Dyalog Ltd and a long-time APL enthusiast.
Past Panelists
Full Time:
Bob Therriault (Episodes 1–118) – J enthusiast, podcast editor and producer.
Stephen Taylor (Episodes 1–118) – APL and q enthusiast, former I.P. Sharp Associates developer.
Marshall Lochbaum (Episodes 32–118) – Creator of BQN, former Dyalog employee.
Recurring:
Richard Park (~30 episodes) – APL trainer and media producer at Dyalog Ltd.
Nick Psaris (~5 episodes) – Q expert at Kx Systems, author of Q Tips.
Send feedback to contact@arraycast.com.
To suggest a correction, open an issue or PR on GitHub.
Episode 28: Rank and Leading Axis Theory
Notes
In this episode we explore the concepts of rank and leading axis theory and the ways it is interpreted in APL, BQN and J.
Host: Conor Hoekstra
Panel: Marshall Lochbaum, Adám Brudzewsky and Bob Therriault
Show Notes
- https://aplwiki.com/wiki/APL_logo
- https://bonfire.com/store/apl-stuff/
- https://redbubble.com/shop/ap/111813275
- https://www.bonfire.com/store/arcfide/[03]
- https://kx.com/developers/download-licenses/
- https://aplwiki.com/wiki/Rank
- https://aplwiki.com/wiki/Leading_axis_theory
- https://aplwiki.com/wiki/Leading_axis_theory#Adoption_in_APL
- https://aplwiki.com/wiki/Main_Page
- https://mlochbaum.github.io/BQN/
- https://www.jsoftware.com/#/README
- https://aplwiki.com/wiki/Add
- https://apl.wiki/Rank_(operator)
- https://apl.wiki/Array_model
- https://apl.wiki/Ravel_order
- https://aplwiki.com/wiki/Match
- https://tryapl.org/?clear&q=a%E2%86%903%203%E2%8D%B4%E2%8D%B39%20%E2%8B%84%20b%E2%86%903%203%E2%8D%B4%E2%8D%B36%20%E2%8B%84%20a(%E2%89%A1%E2%8D%A41)b&run
- https://mlochbaum.github.io/BQN/try.html#code=YeKGkDPigL8z4qWKMSvihpU5IOKLhCBi4oaQM+KAvzPipYoxK+KGlTYg4ouEIGEg4omh4o6JMSBi
- https://jsoftware.github.io/j-playground/bin/html2/#code=a%3D%3A%20i.%203%203%0Ab%3D%3A%203%203%20%24%20i.%206%0Aa%20-%3A%221%20b%0A
- https://apl.wiki/Function_rank
- https://apl.wiki/Raze
- https://www.jsoftware.com/help/jforc/loopless_code_i_verbs_have_r.htm#_Toc191734331
- https://www.jsoftware.com/help/jforc/declarations.htm#_Toc191734319
- https://code.jsoftware.com/wiki/Vocabulary/quotedot
- https://code.jsoftware.com/wiki/Vocabulary/at
- https://code.jsoftware.com/wiki/Vocabulary/atco
- https://mlochbaum.github.io/BQN/tutorial/combinator.html
- https://apl.wiki/Close_composition
- https://code.jsoftware.com/wiki/File:Funcomp.png
- https://aplwiki.com/wiki/Scalar
- https://code.jsoftware.com/wiki/Vocabulary/Nouns#Atom
- https://mlochbaum.github.io/BQN/doc/based.html#starting-from-atoms
- https://apl.wiki/Scalar_function
- https://apl.wiki/Mixed_function
- https://apl.wiki/Simple_scalar
- https://apl.wiki/Leading_axis_agreement
- https://apl.wiki/Scalar_extension
- https://numpy.org/
- https://julialang.org/
- https://tryapl.org/?clear&q=1%202%203(%2B%E2%8D%A41)2%203%E2%8D%B41%202%203&run
- https://mlochbaum.github.io/BQN/try.html#code=MeKAvzLigL8zK+KOiTEgMuKAvzPipYox4oC/MuKAvzM=
- https://jsoftware.github.io/j-playground/bin/html2/#code=%283%203%20%24%201%202%203%29%20%2B%221%20%281%202%203%29%0A
- https://aplwiki.com/wiki/Reduce
- https://aplwiki.com/wiki/scan
- https://aplwiki.com/wiki/reverse
- https://aplwiki.com/wiki/rotate
- https://aplwiki.com/wiki/Catenate
- https://aplwiki.com/wiki/Major_cell
- https://apl.wiki/Cell
- https://apl.wiki/Major_cell
- https://apl.wiki/Arthur_Whitney
- https://www.jsoftware.com/papers/opea.htm
- http://www.jsoftware.com/papers/DFSP.htm
- https://apl.wiki/Iverson_notation
- https://apl.com/Roger_Hui
- https://aplwiki.com/wiki/Function_axis
- https://aplwiki.com/wiki/Scan
- https://tryapl.org/?clear&q=%E2%8E%95IO%E2%86%900%20%E2%8B%84%20m%E2%86%903%203%E2%8D%B41%202%203%20%E2%8B%84%20(%2B%5Cm)%20(%2B%5C%5B0%5Dm)%20(%2B%E2%8D%80m)&run
- https://jsoftware.github.io/j-playground/bin/html2/#code=m%3D%3A%203%203%20%24%201%202%203%0Am%3B%28%2B%2F%5C%20m%29%0A%0A
- http://www.jsoftware.com/papers/APL.htm
- https://mlochbaum.github.io/BQN/doc/fromDyalog.html
- https://mlochbaum.github.io/BQN/help/cells.html
- https://en.wikipedia.org/wiki/Breve
- https://apl.wiki/SHARP_APL
- https://apl.wiki/APL2
- https://code.jsoftware.com/wiki/Vocabulary/Nouns#Item
- https://mlochbaum.github.io/BQN/help/insert.html
- https://aplwiki.com/wiki/Catenate
- https://tryapl.org/?clear&q=%2C%2F3%203%E2%8D%B4%E2%8D%B39&run
- https://mlochbaum.github.io/BQN/try.html#code=beKGkDPigL8z4qWKMSvihpU5CuKIvsudbQ==
- https://jsoftware.github.io/j-playground/bin/html2/#code=m%3D%3A%203%203%241%2Bi.9%0A%2C%2Fm
- https://mlochbaum.github.io/BQN/try.html#code=beKGkDPigL8z4qWKMSvihpU5CuKIvsKoy51t
- https://jsoftware.github.io/j-playground/bin/html2/#code=%0Am%3D%3A3%203%241%2Bi.9%0A%2C%2Feach%20m%0A
- https://aplwiki.com/wiki/K
- https://apl.wiki/APL
- https://code.jsoftware.com/wiki/Vocabulary/slash
- https://mlochbaum.github.io/BQN/help/insert.html
- https://code.jsoftware.com/wiki/NuVoc
- https://aplwiki.com/wiki/Reduce
- https://www.jsoftware.com/help/jforc/declarations.htm#_Toc191734319
- https://www.jsoftware.com/help/jforc/loopless_code_i_verbs_have_r.htm#_Toc191734331
- https://tryapl.org/?clear&q=%2B%2F3%203%E2%8D%B4%E2%8D%B39&run
- https://mlochbaum.github.io/BQN/try.html#code=beKGkDPigL8z4qWKMSvihpU5CivCtMuYbQ==
- https://jsoftware.github.io/j-playground/bin/html2/#code=%0Am%3D%3A3%203%24%3E%3Ai.9%0A%2B%2F%221%20m%0A
- https://tryapl.org/?clear&q=m%E2%86%903%203%E2%8D%B4%E2%8D%B39%20%E2%8B%84%20m%20(%E2%8A%96m)%20(%E2%8C%BDm)&run
- https://mlochbaum.github.io/BQN/try.html#code=K8udy5gxK+KGlTPigL8z
- https://mlochbaum.github.io/BQN/try.html#code=K8K0y5gxK+KGlTPigL8z
- https://jsoftware.github.io/j-playground/bin/html2/#code=%0Am%3D%3A%7B%3B~%3E%3Ai.3%0A%2Beach%2F%20m%0A
- https://aplwiki.com/wiki/Array_model#Based_array_theory
- http://tryapl.com
- https://tryapl.org/
- https://aplwiki.com/wiki/Index_Generator
- https://aplcart.info/
- https://en.wikipedia.org/wiki/Einstein_notation
- https://numpy.org/doc/stable/reference/generated/numpy.einsum.html
- https://github.com/google-research/dex-lang#readme
- https://aplwiki.com/wiki/Transpose
- https://tryapl.org/?clear&q=M%E2%86%903%203%E2%8D%B4%E2%8D%B39%20%E2%8B%84%20m%20(%E2%8A%96m)%20(%E2%8C%BDm)&run
- https://mlochbaum.github.io/BQN/try.html#code=beKGkDPigL8z4qWKMSvihpU5IOKLhCDin6htLOKMvW0s4oy9y5ht4p+p
- https://jsoftware.github.io/j-playground/bin/html2/#code=%0Am%3D%3A%3E%3Ai.%203%203%0A%28%5D%20%3B%20%7C.%20%3B%20%7C.%221%29%20m%0A
- https://mlochbaum.github.io/BQN/help/before_bind.html
- https://mlochbaum.github.io/BQN/help/after_bind.html
- https://twitter.com/code_report/status/1528844402046685187
- https://apl.wiki/Function_composition
