| 1 |
Folding Cheat Sheet Series Titles |
1 slides |
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| 2 |
Function Composition - forward composition versus backward composition |
1 slides |
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| 3 |
De Morgan's Laws are Monoid Homomorphisms |
1 slides |
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| 4 |
Folding Cheat Sheet #5 - Folding a list right and left using Cons and Nil results in the identity and reverse functions |
2 slides |
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| 5 |
Symmetry in the interrelation of flatMap/foldMap/traverse and flatten/fold/sequence |
2 slides |
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| 6 |
Year when lambda functions were introduced in various languages |
2 slides |
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| 7 |
Folding Cheat Sheet #1 - Folding over recursively defined data structures for natural numbers and lists |
3 slides |
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| 8 |
Folding Cheat Sheet #2 - Programmatic and mathematical definitions of right fold and left fold |
4 slides |
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| 9 |
A sighting of sequence function in Practical FP in Scala |
4 slides |
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| 10 |
The Monad Fact Series |
4 slides |
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| 11 |
Addendum to `Monads do not Compose` |
4 slides |
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| 12 |
A sighting of traverse_ in Practical FP in Scala |
5 slides |
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| 13 |
Hand Rolled Applicative User Validation Code Kata |
6 slides |
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| 14 |
Folding Cheat Sheet #3 - The universal property of fold |
6 slides |
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| 15 |
A sighting of traverseFilter and foldMap in Practical FP in Scala |
6 slides |
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| 16 |
Arrive at monads by going from composition of pure functions to composition of effectful functions |
6 slides |
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| 17 |
Definitions of Functional Programming |
7 slides |
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| 18 |
Folding Cheat Sheet #4 - For functions that can be defined both as a right fold and as a left fold, one may be more efficient than the other |
8 slides |
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| 19 |
Monad Fact #1 |
8 slides |
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| 20 |
Functional Effects - Part 1 |
8 slides |
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| 21 |
Monad Laws Must Be Checked |
8 slides |
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| 22 |
Natural Transformations |
8 slides |
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| 23 |
Monad Fact #2 |
9 slides |
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| 24 |
The Debt Metaphor - Ward Cunningham in his 2009 YouTube video |
11 slides |
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| 25 |
Folding Cheat Sheet #6 - Left and right folds and tail recursion |
12 slides |
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| 26 |
Nat, List and Option Monoids - From scratch - Combining and Folding - An example |
12 slides |
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| 27 |
Side by Side - Scala and Java Adaptations of Martin Fowler’s Javascript Refactoring Example |
13 slides |
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| 28 |
Functional Core and Imperative Shell - Game of Life Example - Haskell and Scala |
13 slides |
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| 29 |
Functor Laws |
13 slides |
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| 30 |
Left and Right Folds - Comparison of a mathematical definition and a programmatic one |
14 slides |
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| 31 |
Writer Monad for logging execution of functions |
14 slides |
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| 32 |
Tagless Final Encoding - Algebras and Interpreters and also Programs |
16 slides |
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| 33 |
Kleisli composition, flatMap, join, map, unit - implementation and interrelation - V2 updated for Scala 3 |
16 slides |
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| 34 |
Monad Fact #3 |
16 slides |
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| 35 |
Monad Fact #5 |
17 slides |
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| 36 |
Compositionality and Category Theory |
17 slides |
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| 37 |
Monad Fact #6 |
18 slides |
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| 38 |
Sum and Product Types - The Fruit Salad & Fruit Snack Example |
19 slides |
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| 39 |
Functor Composition |
19 slides |
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| 40 |
Applicative Functor - Part 1 |
19 slides |
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| 41 |
Monad as Functor with pair of Natural Transformations |
20 slides |
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| 42 |
Folding Cheat Sheet #9 - List Unfolding - 'unfold' as the Computational Dual of 'fold', and how 'unfold' relates to 'iterate' |
21 slides |
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| 43 |
The Nature of Complexity in John Ousterhout’s Philosophy of Software Design |
21 slides |
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| 44 |
Folding Cheat Sheet #7 - The three duality theorems of fold |
21 slides |
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| 45 |
Scala 3 enum for a terser Option Monad Algebraic Data Type |
21 slides |
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| 46 |
The Uniform Access Principle |
22 slides |
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| 47 |
A Sighting of filterA in Typelevel Rite of Passage |
23 slides |
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| 48 |
Monad Fact #4 |
24 slides |
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| 49 |
From Subtype Polymorphism To Typeclass-based Ad hoc Polymorphism - An Example |
25 slides |
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| 50 |
Function Applicative for Great Good of Leap Year Function |
25 slides |
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| 51 |
Computer Graphics in Java and Scala - Part 1 |
25 slides |
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| 52 |
N-Queens Combinatorial Problem - Polyglot FP for Fun and Profit – Haskell and Scala - Part 3 |
27 slides |
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| 53 |
Fusing Transformations of Strict Scala Collections with Views |
28 slides |
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| 54 |
Computer Graphics in Java and Scala - Part 1b |
28 slides |
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| 55 |
Quicksort - a whistle-stop tour of the algorithm in five languages and four paradigms |
28 slides |
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| 56 |
Monad Transformers - Part 1 |
28 slides |
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| 57 |
Drawing Heighway’s Dragon - Part 3 - Simplification Through Separation of Concerns - Rotation Without Matrix Multiplication |
29 slides |
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| 58 |
Monads do not Compose |
30 slides |
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| 59 |
The aggregate function - from sequential and parallel folds to parallel aggregation |
31 slides |
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| 60 |
The Functional Programming Triad of Folding, Scanning and Iteration - A first example in Scala and Haskell |
31 slides |
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| 61 |
Scala 3 by Example - Algebraic Data Types for Domain Driven Design - Part 1 |
33 slides |
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| 62 |
Sequence and Traverse - Part 3 |
33 slides |
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| 63 |
Sequence and Traverse - Part 2 |
33 slides |
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| 64 |
Kleisli Composition |
33 slides |
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| 65 |
N-Queens Combinatorial Problem - Polyglot FP for Fun and Profit – Haskell and Scala - Part 1 |
34 slides |
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| 66 |
The Expression Problem Part 2 |
35 slides |
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| 67 |
Drawing Heighway’s Dragon - Part 1 - Recursive Function Rewrite - From Imperative Style in Pascal 64 To Functional Style in Scala 3 |
36 slides |
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| 68 |
Sequence and Traverse - Part 1 |
36 slides |
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| 69 |
Direct Style Effect Systems - The Print[A] Example - A Comprehension Aid |
37 slides |
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| 70 |
Fibonacci Function Gallery - Part 1 |
38 slides |
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| 71 |
Applicative Functor - Part 3 |
38 slides |
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| 72 |
Folding Cheat Sheet #8 - Folding with monoids |
39 slides |
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| 73 |
Functional Effects - Part 2 |
39 slides |
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| 74 |
Monoids - Part 1 - With examples using Scalaz and Cats |
39 slides |
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| 75 |
Monoids - Part 2 - With examples using Scalaz and Cats |
40 slides |
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| 76 |
The Open-Closed Principle - Part 2 - The Contemporary Version - An Introduction |
40 slides |
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| 77 |
Scala Left Fold Parallelisation - Three Approaches |
44 slides |
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| 78 |
From Scala Monadic Effects to Unison Algebraic Effects |
44 slides |
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| 79 |
Applicative Functor - Part 2 |
44 slides |
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| 80 |
Drawing Heighway’s Dragon - Part 4 - Interactive and Animated Dragon Creation |
46 slides |
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| 81 |
Algebraic Data Types for Data Oriented Programming - From Haskell and Scala to Java |
46 slides |
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| 82 |
Folding Unfolded - Part 2 |
46 slides |
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| 83 |
The Expression Problem Part 1 |
47 slides |
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| 84 |
Folding Unfolded - Part 5 |
48 slides |
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| 85 |
List Unfolding - 'unfold' as the Computational Dual of 'fold', and how 'unfold' relates to 'iterate' |
50 slides |
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| 86 |
The Sieve of Eratosthenes - Part 1 |
50 slides |
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| 87 |
The Functional Programming Triad of map, filter and fold |
51 slides |
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| 88 |
Game of Life - Polyglot FP - Haskell and Scala - Part 3 |
52 slides |
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| 89 |
Folding Unfolded - Part 3 |
53 slides |
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| 90 |
Folding Unfolded - Part 4 |
54 slides |
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| 91 |
Ad hoc Polymorphism using Type Classes and Cats |
54 slides |
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| 92 |
N-Queens Combinatorial Problem - Polyglot FP for Fun and Profit – Haskell and Scala - Part 4 |
55 slides |
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| 93 |
Game of Life - Polyglot FP - Haskell and Scala - Part 2 |
55 slides |
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| 94 |
The Sieve of Eratosthenes - Part 2 - Genuine versus Unfaithful Sieve |
57 slides |
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| 95 |
N-Queens Combinatorial Problem - Polyglot FP for Fun and Profit – Haskell and Scala - Part 2 |
58 slides |
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| 96 |
Sierpinski Triangle - Polyglot FP for Fun and Profit - Haskell and Scala |
58 slides |
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| 97 |
Folding Unfolded - Part 1 |
58 slides |
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| 98 |
Drawing Heighway’s Dragon - Part 2 - Recursive Function Simplification - From 2^n Recursive Invocations To n Tail-Recursive Invocations Exploiting Self-Similarity |
62 slides |
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| 99 |
Fibonacci Function Gallery - Part 2 |
62 slides |
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| 100 |
‘go-to’ general-purpose sequential collections - from Java To Scala |
67 slides |
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| 101 |
Game of Life - Polyglot FP - Haskell and Scala - Part 1 |
70 slides |
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| 102 |
Function Applicative for Great Good of Palindrome Checker Function |
71 slides |
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| 103 |
Scala 3 by Example - Algebraic Data Types for Domain Driven Design - Part 2 |
77 slides |
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| 104 |
The Open-Closed Principle - Part 1 - The Original Version |
83 slides |
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| 105 |
State Monad |
91 slides |
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| 106 |
Refactoring: A First Example - Martin Fowler’s First Example of Refactoring, Adapted to Scala |
93 slides |
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| 107 |
Refactoring: A First Example - Martin Fowler’s First Example of Refactoring, Adapted to Java |
95 slides |
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| 108 |
Lambda Expressions and Java 8 - Lambda Calculus, Lambda Expressions, Syntactic Sugar, First Class Functions |
202 slides |
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| 109 |
N-Queens Combinatorial Puzzle meets Cats |
386 slides |
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se one -
invert order