The Array Cast

Fold and Other Functional Conjunctions

Apr 1, 2023

01:36:31

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Episode notes

Introduction

3min

The Different Flavors of Fold

2min

Fold in a J Application

2min

The Genie Principle of Programming Languages

2min

What Is a Programming Language?

2min

The Importance of a Programming Language

2min

The Importance of Using a Primitive in C

2min

The Importance of Primitives in Programming

2min

The Power Conjunction in Functional Programming

2min

10.

The Importance of Recursion in Programming

6min

11.

How to Concatenate Values in a Vector

2min

12.

The Interval State Between Applications and Verb

3min

13.

The Problem With Scanning

2min

14.

The Importance of a Global in a Scan

2min

15.

How to Solve a Uh Too Much Memory Problem

4min

16.

How to Define a Colon by Yourself

2min

17.

The Importance of Recursion

2min

18.

How to Use Self-Reference in APL

2min

19.

How to Execute a Fold

3min

20.

The Infinite Processing of Z

2min

21.

The Unusual Boxing Glove

2min

22.

The Importance of Looping in J

2min

23.

Folding Primitives: A Tool for Functional Programming

2min

24.

K7 to J Folds and the Primitives

2min

25.

The Importance of Intervals in Languages

3min

26.

The Importance of Ranking in Partitioning

2min

27.

The Difference Between Cut and Sliding Reduce in C++

3min

28.

The Importance of Classifiers in Python

2min

29.

How to Use Enclose With Rank to Split Rows Together

2min

30.

The Pros and Cons of Windowing

3min

31.

Exclusive Scan Is More Coherent Than the Inclusive Scan Algorithm

2min

32.

How to Use an N to N Algorithm in a Monodic Algorithm

2min

33.

The Importance of Pre-Scan in Regular Mathematics

3min

34.

How to Customize Primitives in Apl

2min

35.

The Importance of a Fold Primitive

4min

36.

The Importance of Optimizing in Languages

3min

37.

Vectorization and Memory Allocation

2min

38.

How to Reduce Fold in J

2min

39.

The Cost of Allocating Memory

2min

40.

The Hidden Tax on the Cache Bandwidth

3min

41.

How to Use Val Grind to Improve Performance in C++

2min

42.

Happy Array Programming Happy Array Programming

2min

Array Cast - March 31, 2023
Show Notes

Thanks to Bob Therriault, Conor Hoekstra and Marshall Lochbaum for gathering these links:

[01] 00:01:45 Luther J. Woodrum Obituary https://www.fraryfuneralhome.com/obituaries/Luther--J.-Woodrum?obId=27482014#/celebrationWall
                                         https://www.linkedin.com/in/luther-woodrum-b5775a4a?trk=public_profile_browsemap
              Lenore Mullin Mathematics of Arrays https://www.linkedin.com/in/lenore-mullin-268b0a13
[02] 00:03:46 Episode 6 https://www.arraycast.com/episodes/episode-06-henry-richs-deep-dive-into-j
              Episode 18 https://www.arraycast.com/episodes/episode18-henry-rich-presents-j903
              Episode 48 https://www.arraycast.com/episodes/episode48-henry-rich
[03] 00:04:40 Command to run Fold using J Playground - install 'github:jsoftware/dev_fold'
              J Fold https://code.jsoftware.com/wiki/Vocabulary/fcap
              APL Reduce / https://aplwiki.com/wiki/Reduce
              APL Scan \ https://aplwiki.com/wiki/Scan
              J Scan /\ https://code.jsoftware.com/wiki/Vocabulary/bslash
                        https://code.jsoftware.com/wiki/Vocabulary/slash
              J Grade /: or \: https://code.jsoftware.com/wiki/Vocabulary/slashco
[04] 00:10:02 Functional Programming Language https://en.wikipedia.org/wiki/Functional_programming
              C Programming Language https://en.wikipedia.org/wiki/C_(programming_language)
[05] 00:12:30 Iverson Notation https://www.jsoftware.com/papers/APL.htm
              Adjacent Difference C++ https://en.cppreference.com/w/cpp/algorithm/adjacent_difference
[06] 00:14:50 Haskell Programming Language https://en.wikipedia.org/wiki/Haskell
                         BQN Primitives https://mlochbaum.github.io/BQN/commentary/primitive.html
[07] 00:16:10 Object Oriented Programming https://en.wikipedia.org/wiki/Object-oriented_programming
[08] 00:17:12 J Power Conjunction u^:n https://code.jsoftware.com/wiki/Vocabulary/hatco
              NARS 2000 APL https://aplwiki.com/wiki/NARS
              J Rank Conjunction " https://code.jsoftware.com/wiki/Vocabulary/quote
              J Cut Conjunction ;. https://code.jsoftware.com/wiki/Vocabulary/semidot
              J Key Conjunction /. https://code.jsoftware.com/wiki/Vocabulary/slashdot#dyadic
              J Recursion $: https://code.jsoftware.com/wiki/Vocabulary/dollarco
[09] 00:24:20 Identity Element https://aplwiki.com/wiki/Identity_element
[10] 00:37:09 J Terminate Z: https://code.jsoftware.com/wiki/Vocabulary/zcapco
              J Cap [: https://code.jsoftware.com/wiki/Vocabulary/squarelfco
[11] 00:41:22 J throw. https://code.jsoftware.com/wiki/Vocabulary/throwdot
              J catch. https://code.jsoftware.com/wiki/Vocabulary/trydot
[12] 00:45:21 J ^:v^:_ https://code.jsoftware.com/wiki/Vocabulary/hatco#DoWhile
              J _3 Z: (Iterations bottom of page) https://code.jsoftware.com/wiki/Vocabulary/zcapco
[13] 00:53:05 BQN Fold https://mlochbaum.github.io/BQN/doc/fold.html
              Table from J Fold to K https://code.jsoftware.com/wiki/User:Will_Gajate/FoldVariants
[14] 00:55:13 Arthur Whitney https://en.wikipedia.org/wiki/Arthur_Whitney_(computer_scientist)
              APL Partition https://aplwiki.com/wiki/Partition
[15] 00:57:55 J Gerunds https://code.jsoftware.com/wiki/Vocabulary/Glossary#Gerund
[16] 00:59:20 J Rank-Gerund 901 Release Notes https://code.jsoftware.com/wiki/System/ReleaseNotes/J901
[17] 01:01:11 C++ 2019 7 Consecutive Ones Conor talk https://www.youtube.com/watch?v=48gV1SNm3WA
[18] 01:03:10 BQN Each https://mlochbaum.github.io/BQN/doc/map.html
[19] 01:05:25 Dyalog APL Split https://aplwiki.com/wiki/Split
              APL2 https://aplwiki.com/wiki/APL2
[20] 01:07:42 J NuVoc Dictionary https://code.jsoftware.com/wiki/NuVoc
[21] 01:11:25 Index Origin https://aplwiki.com/wiki/Index_origin
[22] 01:27:15 CPU Cache https://en.wikipedia.org/wiki/CPU_cache
[23] 01:33:00 ValGrind Tool https://valgrind.org/docs/manual/
              Perf linux https://perf.wiki.kernel.org/index.php/Tutorial
[24] 01:35:58 Contact AT ArrayCast DOT Com

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The Array Cast

Fold and Other Functional Conjunctions

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