Download for much higher quality version of the slides. Start with expression ma flatMap f and keep refactoring it by applying each of ⑧ rewrite rules in turn, until you get back to ma flatMap f.
This document provides an overview of using Python and the Geoprocessor object to automate geoprocessing tasks in ArcGIS. It discusses:
1) Converting multiple ASCII files to rasters, merging the rasters, reclassifying the data, and converting it to polygon and polyline shapefiles involves many manual steps.
2) Scripting can automate this repetitive process and save time compared to performing the tasks manually each time.
3) The Geoprocessor object in ArcGIS provides a single access point to the toolbox and its methods/properties can be used to programmatically run geoprocessing tools from Python scripts.
Functional Programming Concepts for Imperative ProgrammersChris
The document discusses functional programming concepts including the origins of the λ-calculus and Lisp. It covers functions as data, lambda expressions, closures, function composition, and higher-order functions. Examples are provided in JavaScript and Scala of implementing functions like fold to operate on lists. While many functional concepts are covered, topics like currying, monads, and lazy evaluation are noted but not discussed in detail.
Year when lambda functions were introduced in various languagesPhilip Schwarz
(Download for best quality) Year when lambda functions were introduced in various languages. Based on data from Sergei Winitzki’s book: The Science of Functional Programming: A tutorial, with examples in Scala.
The document discusses using domain specific languages to teach programming concepts to children through a turtle graphics language, provides examples of abstract syntax trees for different languages like a turtle language and Small Basic, and recommends resources for learning more about language design and domain specific languages including tryfsharp.org, a F# koans project, and Neil Danson's story about writing a C# compiler from scratch in 24 days.
This document provides an overview of linear algebra concepts and Octave commands for creating and manipulating matrices and vectors. It discusses matrix and vector multiplication and properties, and includes Octave code examples for matrix-matrix multiplication, vector multiplication, and calculating the inverse of a matrix.
Hand Rolled Applicative User ValidationCode KataPhilip Schwarz
Could you use a simple piece of Scala validation code (granted, a very simplistic one too!) that you can rewrite, now and again, to refresh your basic understanding of Applicative operators <*>, <*, *>?
The goal is not to write perfect code showcasing validation, but rather, to provide a small, rough-and ready exercise to reinforce your muscle-memory.
Despite its grandiose-sounding title, this deck consists of just three slides showing the Scala 3 code to be rewritten whenever the details of the operators begin to fade away.
The code is my rough and ready translation of a Haskell user-validation program found in a book called Finding Success (and Failure) in Haskell - Fall in love with applicative functors.
Direct Style Effect Systems -The Print[A] Example- A Comprehension AidPhilip Schwarz
The subject of this deck is the small Print[A] program in the following blog post by Noel Welsh: https://www.inner-product.com/posts/direct-style-effects/.
Keywords: "direct-style", "context function", "context functions", "algebraic effect", "algebraic effects", "scala", "effect system", "effect systems", "effect", "side effect", "composition", "fp", "functional programming"
This document provides an overview of using Python and the Geoprocessor object to automate geoprocessing tasks in ArcGIS. It discusses:
1) Converting multiple ASCII files to rasters, merging the rasters, reclassifying the data, and converting it to polygon and polyline shapefiles involves many manual steps.
2) Scripting can automate this repetitive process and save time compared to performing the tasks manually each time.
3) The Geoprocessor object in ArcGIS provides a single access point to the toolbox and its methods/properties can be used to programmatically run geoprocessing tools from Python scripts.
Functional Programming Concepts for Imperative ProgrammersChris
The document discusses functional programming concepts including the origins of the λ-calculus and Lisp. It covers functions as data, lambda expressions, closures, function composition, and higher-order functions. Examples are provided in JavaScript and Scala of implementing functions like fold to operate on lists. While many functional concepts are covered, topics like currying, monads, and lazy evaluation are noted but not discussed in detail.
Year when lambda functions were introduced in various languagesPhilip Schwarz
(Download for best quality) Year when lambda functions were introduced in various languages. Based on data from Sergei Winitzki’s book: The Science of Functional Programming: A tutorial, with examples in Scala.
The document discusses using domain specific languages to teach programming concepts to children through a turtle graphics language, provides examples of abstract syntax trees for different languages like a turtle language and Small Basic, and recommends resources for learning more about language design and domain specific languages including tryfsharp.org, a F# koans project, and Neil Danson's story about writing a C# compiler from scratch in 24 days.
This document provides an overview of linear algebra concepts and Octave commands for creating and manipulating matrices and vectors. It discusses matrix and vector multiplication and properties, and includes Octave code examples for matrix-matrix multiplication, vector multiplication, and calculating the inverse of a matrix.
Hand Rolled Applicative User ValidationCode KataPhilip Schwarz
Could you use a simple piece of Scala validation code (granted, a very simplistic one too!) that you can rewrite, now and again, to refresh your basic understanding of Applicative operators <*>, <*, *>?
The goal is not to write perfect code showcasing validation, but rather, to provide a small, rough-and ready exercise to reinforce your muscle-memory.
Despite its grandiose-sounding title, this deck consists of just three slides showing the Scala 3 code to be rewritten whenever the details of the operators begin to fade away.
The code is my rough and ready translation of a Haskell user-validation program found in a book called Finding Success (and Failure) in Haskell - Fall in love with applicative functors.
Direct Style Effect Systems -The Print[A] Example- A Comprehension AidPhilip Schwarz
The subject of this deck is the small Print[A] program in the following blog post by Noel Welsh: https://www.inner-product.com/posts/direct-style-effects/.
Keywords: "direct-style", "context function", "context functions", "algebraic effect", "algebraic effects", "scala", "effect system", "effect systems", "effect", "side effect", "composition", "fp", "functional programming"
Folding Cheat Sheet #4 - fourth in a seriesPhilip Schwarz
For functions that can be defined both as an instance of a right fold and as an instance of a left fold, one may be more efficient than the other.
Let's look at the example of a function 'decimal' that converts a list of digits into the corresponding decimal number.
Erratum: it has been pointed out that it is possible to define the zip function using a right fold (see slide 5).
Folding Cheat Sheet #3 - third in a seriesPhilip Schwarz
This document summarizes the universal property of fold, which states that for finite lists the fold function is the unique function that satisfies its defining recursive equations. It provides examples of how common list functions like sum, product, length, concatenation (⧺) can be defined in terms of fold. It also notes that the universal property can be generalized to handle partial and infinite lists. Finally, it states that map, filter and fold form the "triad" or basic building blocks of functional programming.
Folding Cheat Sheet #2 - second in a seriesPhilip Schwarz
This document provides definitions and examples of foldr and foldl functions in functional programming. Foldr recursively applies a function from right to left, associating at each step. Foldl recursively applies a function from left to right, associating at each step. Examples are given applying foldr and foldl to a list with elements a0 through a3, using a function f and initial value b. Programmatic and mathematical definitions of foldr and foldl are also presented.
Folding Cheat Sheet #1 - first in a seriesPhilip Schwarz
This document provides examples of using fold functions to define recursive functions over natural numbers (Nat) and lists. It shows common patterns for defining recursive functions over Nat using foldn and over lists using foldr. Three examples are given of functions defined over Nat using foldn: addition, multiplication, and exponentiation. Three examples are also given of functions defined over lists using foldr: sum, length, and append.
Tagless Final Encoding - Algebras and Interpreters and also ProgramsPhilip Schwarz
Tagless Final Encoding - Algebras and Interpreters and also Programs - An introduction, through the work of Gabriel Volpe.
Slide deck home: http://fpilluminated.com/assets/tagless-final-encoding-algebras-interpreters-and-programs.html
A sighting of traverseFilter and foldMap in Practical FP in ScalaPhilip Schwarz
Slide deck home: http://fpilluminated.com/assets/sighting-of-scala-cats-traverseFilter-and-foldMap-in-practical-fp-in-scala.html.
Download PDF for perfect image quality.
A sighting of sequence function in Practical FP in ScalaPhilip Schwarz
Slide deck home: http://fpilluminated.com/assets/sighting-of-scala-cats-sequence-function-in-practical-fp-in-scala.html.
Download PDF for perfect image quality.
This talk was presented on Aug 3rd 2023 during the Scala in the City event a ITV in London https://www.meetup.com/scala-in-the-city/events/292844968/
Visit the following for a description, slideshow, all slides with transcript, pdf, github repo, and eventually a video recording: http://fpilluminated.com/assets/n-queens-combinatorial-puzzle-meets-cats.html
At the centre of this talk is the N-Queens combinatorial puzzle. The reason why this puzzle features in the Scala book and functional programming course by Martin Odersky (the language’s creator), is that such puzzles are a particularly suitable application area of 'for comprehensions'.
We’ll start by (re)acquainting ourselves with the puzzle, and seeing the role played in it by permutations. Next, we’ll see how, when wanting to visualise candidate puzzle solutions, Cats’ monoidal functions fold and foldMap are a great fit for combining images.
While we are all very familiar with the triad providing the bread, butter and jam of functional programming, i.e. map, filter and fold, not everyone knows about the corresponding functions in Cats’ monadic variant of the triad, i.e. mapM, filterM and foldM, which we are going to learn about next.
As is often the case in functional programming, the traverse function makes an appearance, and we shall grab the opportunity to point out the symmetry that exists in the interrelation of flatMap / foldMap / traverse and flatten / fold / sequence.
Armed with an understanding of foldM, we then look at how such a function can be used to implement an iterative algorithm for the N-Queens puzzle.
The talk ends by pointing out that the iterative algorithm is smarter than the recursive one, because it ‘remembers’ where it has already placed previous queens.
Kleisli composition, flatMap, join, map, unit - implementation and interrelat...Philip Schwarz
Kleisli composition, flatMap, join, map, unit. A study/memory aid, to help learn/recall their implementation/interrelation.
Version 2, updated for Scala 3
Nat, List and Option Monoids -from scratch -Combining and Folding -an examplePhilip Schwarz
Nat, List and Option Monoids, from scratch. Combining and Folding: an example.
This is a new version of the original which has some cosmetic changes and a new 7th slide which only differs from slide 6 in that it defines the fold function in terms of the foldRight function.
Code: https://github.com/philipschwarz/nat-list-and-option-monoids-from-scratch-combining-and-folding-an-example
Nat, List and Option Monoids -from scratch -Combining and Folding -an examplePhilip Schwarz
Nat, List and Option Monoids, from scratch. Combining and Folding: an example.
Code: https://github.com/philipschwarz/nat-list-and-option-monoids-from-scratch-combining-and-folding-an-example
The Sieve of Eratosthenes - Part II - Genuine versus Unfaithful Sieve - Haske...Philip Schwarz
When I posted the deck for Part 1 to the Scala users forum, Odd Möller linked to a paper titled "The Genuine Sieve of Eratosthenes", which speaks of the Unfaithful Sieve.
Part 2 is based on that paper and on Richard Bird's faithful Haskell implementation of the Sieve, which we translate into Scala.
Scala code for Richard Bird's infinite primes Haskell program: https://github.com/philipschwarz/sieve-of-eratosthenes-part-2-scala
Sum and Product Types -The Fruit Salad & Fruit Snack Example - From F# to Ha...Philip Schwarz
- The document describes how product types (built using AND) and sum types (built using OR) are used to define types for representing fruit salads and fruit snacks in F#, Haskell, Scala, and Java.
- Product types combine elements and are used to define the FruitSalad type, while sum types allow alternatives and are used to define the FruitSnack type consisting of different fruits.
- Pattern matching is demonstrated to write functions that analyze and return different strings based on the values of FruitSalad and FruitSnack types.
Jordan Peterson - The pursuit of meaning and related ethical axiomsPhilip Schwarz
I have only recently become aware of the work of Jordan Peterson. Because I am finding it so interesting, I hope that the following small collection of excerpts from some of his writings and speeches might entice any fellow latecomers to find out more about his work. See below for my own summary of some of the subjects touched upon in these slides.
Download for best results.
Defining filter using (a) recursion (b) folding (c) folding with S, B and I c...Philip Schwarz
Defining filter using
(a) recursion
(b) folding
(c) folding with S, B and I combinators
(d) folding with applicative functor and identity function.pdf
This second version adds a simpler folding definition, which I had left out in the first version.
Artificia Intellicence and XPath Extension FunctionsOctavian Nadolu
The purpose of this presentation is to provide an overview of how you can use AI from XSLT, XQuery, Schematron, or XML Refactoring operations, the potential benefits of using AI, and some of the challenges we face.
Mobile App Development Company In Noida | Drona InfotechDrona Infotech
Drona Infotech is a premier mobile app development company in Noida, providing cutting-edge solutions for businesses.
Visit Us For : https://www.dronainfotech.com/mobile-application-development/
Folding Cheat Sheet #4 - fourth in a seriesPhilip Schwarz
For functions that can be defined both as an instance of a right fold and as an instance of a left fold, one may be more efficient than the other.
Let's look at the example of a function 'decimal' that converts a list of digits into the corresponding decimal number.
Erratum: it has been pointed out that it is possible to define the zip function using a right fold (see slide 5).
Folding Cheat Sheet #3 - third in a seriesPhilip Schwarz
This document summarizes the universal property of fold, which states that for finite lists the fold function is the unique function that satisfies its defining recursive equations. It provides examples of how common list functions like sum, product, length, concatenation (⧺) can be defined in terms of fold. It also notes that the universal property can be generalized to handle partial and infinite lists. Finally, it states that map, filter and fold form the "triad" or basic building blocks of functional programming.
Folding Cheat Sheet #2 - second in a seriesPhilip Schwarz
This document provides definitions and examples of foldr and foldl functions in functional programming. Foldr recursively applies a function from right to left, associating at each step. Foldl recursively applies a function from left to right, associating at each step. Examples are given applying foldr and foldl to a list with elements a0 through a3, using a function f and initial value b. Programmatic and mathematical definitions of foldr and foldl are also presented.
Folding Cheat Sheet #1 - first in a seriesPhilip Schwarz
This document provides examples of using fold functions to define recursive functions over natural numbers (Nat) and lists. It shows common patterns for defining recursive functions over Nat using foldn and over lists using foldr. Three examples are given of functions defined over Nat using foldn: addition, multiplication, and exponentiation. Three examples are also given of functions defined over lists using foldr: sum, length, and append.
Tagless Final Encoding - Algebras and Interpreters and also ProgramsPhilip Schwarz
Tagless Final Encoding - Algebras and Interpreters and also Programs - An introduction, through the work of Gabriel Volpe.
Slide deck home: http://fpilluminated.com/assets/tagless-final-encoding-algebras-interpreters-and-programs.html
A sighting of traverseFilter and foldMap in Practical FP in ScalaPhilip Schwarz
Slide deck home: http://fpilluminated.com/assets/sighting-of-scala-cats-traverseFilter-and-foldMap-in-practical-fp-in-scala.html.
Download PDF for perfect image quality.
A sighting of sequence function in Practical FP in ScalaPhilip Schwarz
Slide deck home: http://fpilluminated.com/assets/sighting-of-scala-cats-sequence-function-in-practical-fp-in-scala.html.
Download PDF for perfect image quality.
This talk was presented on Aug 3rd 2023 during the Scala in the City event a ITV in London https://www.meetup.com/scala-in-the-city/events/292844968/
Visit the following for a description, slideshow, all slides with transcript, pdf, github repo, and eventually a video recording: http://fpilluminated.com/assets/n-queens-combinatorial-puzzle-meets-cats.html
At the centre of this talk is the N-Queens combinatorial puzzle. The reason why this puzzle features in the Scala book and functional programming course by Martin Odersky (the language’s creator), is that such puzzles are a particularly suitable application area of 'for comprehensions'.
We’ll start by (re)acquainting ourselves with the puzzle, and seeing the role played in it by permutations. Next, we’ll see how, when wanting to visualise candidate puzzle solutions, Cats’ monoidal functions fold and foldMap are a great fit for combining images.
While we are all very familiar with the triad providing the bread, butter and jam of functional programming, i.e. map, filter and fold, not everyone knows about the corresponding functions in Cats’ monadic variant of the triad, i.e. mapM, filterM and foldM, which we are going to learn about next.
As is often the case in functional programming, the traverse function makes an appearance, and we shall grab the opportunity to point out the symmetry that exists in the interrelation of flatMap / foldMap / traverse and flatten / fold / sequence.
Armed with an understanding of foldM, we then look at how such a function can be used to implement an iterative algorithm for the N-Queens puzzle.
The talk ends by pointing out that the iterative algorithm is smarter than the recursive one, because it ‘remembers’ where it has already placed previous queens.
Kleisli composition, flatMap, join, map, unit - implementation and interrelat...Philip Schwarz
Kleisli composition, flatMap, join, map, unit. A study/memory aid, to help learn/recall their implementation/interrelation.
Version 2, updated for Scala 3
Nat, List and Option Monoids -from scratch -Combining and Folding -an examplePhilip Schwarz
Nat, List and Option Monoids, from scratch. Combining and Folding: an example.
This is a new version of the original which has some cosmetic changes and a new 7th slide which only differs from slide 6 in that it defines the fold function in terms of the foldRight function.
Code: https://github.com/philipschwarz/nat-list-and-option-monoids-from-scratch-combining-and-folding-an-example
Nat, List and Option Monoids -from scratch -Combining and Folding -an examplePhilip Schwarz
Nat, List and Option Monoids, from scratch. Combining and Folding: an example.
Code: https://github.com/philipschwarz/nat-list-and-option-monoids-from-scratch-combining-and-folding-an-example
The Sieve of Eratosthenes - Part II - Genuine versus Unfaithful Sieve - Haske...Philip Schwarz
When I posted the deck for Part 1 to the Scala users forum, Odd Möller linked to a paper titled "The Genuine Sieve of Eratosthenes", which speaks of the Unfaithful Sieve.
Part 2 is based on that paper and on Richard Bird's faithful Haskell implementation of the Sieve, which we translate into Scala.
Scala code for Richard Bird's infinite primes Haskell program: https://github.com/philipschwarz/sieve-of-eratosthenes-part-2-scala
Sum and Product Types -The Fruit Salad & Fruit Snack Example - From F# to Ha...Philip Schwarz
- The document describes how product types (built using AND) and sum types (built using OR) are used to define types for representing fruit salads and fruit snacks in F#, Haskell, Scala, and Java.
- Product types combine elements and are used to define the FruitSalad type, while sum types allow alternatives and are used to define the FruitSnack type consisting of different fruits.
- Pattern matching is demonstrated to write functions that analyze and return different strings based on the values of FruitSalad and FruitSnack types.
Jordan Peterson - The pursuit of meaning and related ethical axiomsPhilip Schwarz
I have only recently become aware of the work of Jordan Peterson. Because I am finding it so interesting, I hope that the following small collection of excerpts from some of his writings and speeches might entice any fellow latecomers to find out more about his work. See below for my own summary of some of the subjects touched upon in these slides.
Download for best results.
Defining filter using (a) recursion (b) folding (c) folding with S, B and I c...Philip Schwarz
Defining filter using
(a) recursion
(b) folding
(c) folding with S, B and I combinators
(d) folding with applicative functor and identity function.pdf
This second version adds a simpler folding definition, which I had left out in the first version.
Artificia Intellicence and XPath Extension FunctionsOctavian Nadolu
The purpose of this presentation is to provide an overview of how you can use AI from XSLT, XQuery, Schematron, or XML Refactoring operations, the potential benefits of using AI, and some of the challenges we face.
Mobile App Development Company In Noida | Drona InfotechDrona Infotech
Drona Infotech is a premier mobile app development company in Noida, providing cutting-edge solutions for businesses.
Visit Us For : https://www.dronainfotech.com/mobile-application-development/
Flutter is a popular open source, cross-platform framework developed by Google. In this webinar we'll explore Flutter and its architecture, delve into the Flutter Embedder and Flutter’s Dart language, discover how to leverage Flutter for embedded device development, learn about Automotive Grade Linux (AGL) and its consortium and understand the rationale behind AGL's choice of Flutter for next-gen IVI systems. Don’t miss this opportunity to discover whether Flutter is right for your project.
Measures in SQL (SIGMOD 2024, Santiago, Chile)Julian Hyde
SQL has attained widespread adoption, but Business Intelligence tools still use their own higher level languages based upon a multidimensional paradigm. Composable calculations are what is missing from SQL, and we propose a new kind of column, called a measure, that attaches a calculation to a table. Like regular tables, tables with measures are composable and closed when used in queries.
SQL-with-measures has the power, conciseness and reusability of multidimensional languages but retains SQL semantics. Measure invocations can be expanded in place to simple, clear SQL.
To define the evaluation semantics for measures, we introduce context-sensitive expressions (a way to evaluate multidimensional expressions that is consistent with existing SQL semantics), a concept called evaluation context, and several operations for setting and modifying the evaluation context.
A talk at SIGMOD, June 9–15, 2024, Santiago, Chile
Authors: Julian Hyde (Google) and John Fremlin (Google)
https://doi.org/10.1145/3626246.3653374
Unveiling the Advantages of Agile Software Development.pdfbrainerhub1
Learn about Agile Software Development's advantages. Simplify your workflow to spur quicker innovation. Jump right in! We have also discussed the advantages.
UI5con 2024 - Keynote: Latest News about UI5 and it’s EcosystemPeter Muessig
Learn about the latest innovations in and around OpenUI5/SAPUI5: UI5 Tooling, UI5 linter, UI5 Web Components, Web Components Integration, UI5 2.x, UI5 GenAI.
Recording:
https://www.youtube.com/live/MSdGLG2zLy8?si=INxBHTqkwHhxV5Ta&t=0
The Key to Digital Success_ A Comprehensive Guide to Continuous Testing Integ...kalichargn70th171
In today's business landscape, digital integration is ubiquitous, demanding swift innovation as a necessity rather than a luxury. In a fiercely competitive market with heightened customer expectations, the timely launch of flawless digital products is crucial for both acquisition and retention—any delay risks ceding market share to competitors.
Malibou Pitch Deck For Its €3M Seed Roundsjcobrien
French start-up Malibou raised a €3 million Seed Round to develop its payroll and human resources
management platform for VSEs and SMEs. The financing round was led by investors Breega, Y Combinator, and FCVC.
Liberarsi dai framework con i Web Component.pptxMassimo Artizzu
In Italian
Presentazione sulle feature e l'utilizzo dei Web Component nell sviluppo di pagine e applicazioni web. Racconto delle ragioni storiche dell'avvento dei Web Component. Evidenziazione dei vantaggi e delle sfide poste, indicazione delle best practices, con particolare accento sulla possibilità di usare web component per facilitare la migrazione delle proprie applicazioni verso nuovi stack tecnologici.
Microservice Teams - How the cloud changes the way we workSven Peters
A lot of technical challenges and complexity come with building a cloud-native and distributed architecture. The way we develop backend software has fundamentally changed in the last ten years. Managing a microservices architecture demands a lot of us to ensure observability and operational resiliency. But did you also change the way you run your development teams?
Sven will talk about Atlassian’s journey from a monolith to a multi-tenanted architecture and how it affected the way the engineering teams work. You will learn how we shifted to service ownership, moved to more autonomous teams (and its challenges), and established platform and enablement teams.
Everything You Need to Know About X-Sign: The eSign Functionality of XfilesPr...XfilesPro
Wondering how X-Sign gained popularity in a quick time span? This eSign functionality of XfilesPro DocuPrime has many advancements to offer for Salesforce users. Explore them now!
What to do when you have a perfect model for your software but you are constrained by an imperfect business model?
This talk explores the challenges of bringing modelling rigour to the business and strategy levels, and talking to your non-technical counterparts in the process.
ALGIT - Assembly Line for Green IT - Numbers, Data, Facts
Scala Functional Programming Combinators Code Kata
1. Scala Functional Programming Combinators Code Kata
start with expression ma flatMap f and keep refactoring it
by applying each of ⑧ rewrite rules in turn
until you get back to ma flatMap f
@philip_schwarzslides by https://www.slideshare.net/pjschwarz
2.
3. Rewrite Rules
① flatmap can be defined in terms of map and flatten
② map can be defined in terms of flatMap and pure
③ flatten can be defined in terms of flatMap and identity
④ chained flatMaps are equivalent to nested flatMaps (flatMap associativity law)
⑤ Kleisli composition can be defined in terms of flatMap (apply this the other way around)
⑥ the identity function can be defined in terms of flatten and pure
⑦ pure followed by flatten cancel each other out
⑧ pure is the identity function for Kleisli composition, so f >=> pure is the same as f
4.
5. Only half-serious, of course.
But you may find it useful to work through the refactorings to
improve your understanding of various combinators.
And if you can’t be asked to type it all out, I made a gist for you
@philip_schwarz
https://gist.github.com/philipschwarz/a677eaa7ccc87d54673226f307b3fdb5