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Chris Taylor

Monads as used in functional programming are ‘one way’. The monad type class provides a way to put values into the monad (with return) …

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Chris Taylor | chris-taylor.github.io Reviews
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Monads as used in functional programming are ‘one way’. The monad type class provides a way to put values into the monad (with return) …
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Chris Taylor | chris-taylor.github.io Reviews

https://chris-taylor.github.io

Monads as used in functional programming are ‘one way’. The monad type class provides a way to put values into the monad (with return) …

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1

Swap Two Variables Without Using a Temp Variable (With Math!) - Chris Taylor

http://chris-taylor.github.io/blog/2013/02/25/xor-trick

Mainly math and haskell. Swap Two Variables Without Using a Temp Variable (With Math! I wrote this as a comment on Hacker News before polishing it up to put it here – see original. The question “How do you swap two variables without using a temporary variable? 8221; is a favorite of unimaginative interviewers everywhere. If you haven’t seen it, the typical solution is three bitwise exclusive or (xor) operations in succession:. Sure - you just need the concept of a mathematical group. 8211; for all values.

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Connect 4

http://chris-taylor.github.io/connect4

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The Algebra of Algebraic Data Types, Part 3 - Chris Taylor

http://chris-taylor.github.io/blog/2013/02/13/the-algebra-of-algebraic-data-types-part-iii

Mainly math and haskell. The Algebra of Algebraic Data Types, Part 3. I gave a talk on this subject at London Haskell in November 2012. A video of the talk is on YouTube. And slides are on GitHub. This is Part 3 in a series; you can also read Part 1. Last time I described recursive types, showed how they can be written as algebraic equations, and you you can solve the equations to deduce interesting facts about types. In this post I’ll explain what it means to do calculus with types. That stores the loca...

4

The Algebra of Algebraic Data Types, Part 2 - Chris Taylor

http://chris-taylor.github.io/blog/2013/02/11/the-algebra-of-algebraic-data-types-part-ii

Mainly math and haskell. The Algebra of Algebraic Data Types, Part 2. I gave a talk on this subject at London Haskell in November 2012. A video of the talk is on YouTube. And slides are on GitHub. This is Part 2 in a series; you can read Part 1 here. Last time I introduced the unit type. And the zero type. I also introduced the type operators. And the function type. In this post I’ll talk about recursive types, and show how you can abuse the algebra of types to deduce interesting things about them. Only ...

5

The Algebra of Algebraic Data Types, Part 1 - Chris Taylor

http://chris-taylor.github.io/blog/2013/02/10/the-algebra-of-algebraic-data-types

Mainly math and haskell. The Algebra of Algebraic Data Types, Part 1. I gave a talk on this subject at London Haskell in November 2012. A video of the talk is on YouTube. And slides are on GitHub. In this series of posts I’ll explain why Haskell’s data types are called. Without mentioning category theory or advanced math. When you get a little older you are introduced to variables (e.g. 8230;) which can stand for numbers. Further still, and you learn about the laws that algebra obeys. Laws like. The oper...

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Chris Taylor

Math, Haskell, other stuff. Getting Values Out of Monads. Monads as used in functional programming are ‘one way’. The monad type class provides a way to put values into the monad (with return) but no way to get values out. If you want to get values out of a monad you have to write a function yourself. Such a function would have a type. If you put a value into the monad and immediately extract a value, you want to get the same value you put in. In other words you want. H (return a) = a. Into the monad with.

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