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The Joy of Types

The Joy of Types. Monday, January 13, 2014. On Graphs and Matrices. Warning: Everything here is probably either wrong or obvious. It is about an epiphany I had today, and nothing more. It has been almost a year since I have blogged, and I want to get back into it. So that lead me to thinking- is there a way to view adjacency matrices (and graphs) as linear transformation? The answer is that: of course there is. What does this fave to do with graphs? Well recall that a graph is usually defined as a tuple ...

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The Joy of Types. Monday, January 13, 2014. On Graphs and Matrices. Warning: Everything here is probably either wrong or obvious. It is about an epiphany I had today, and nothing more. It has been almost a year since I have blogged, and I want to get back into it. So that lead me to thinking- is there a way to view adjacency matrices (and graphs) as linear transformation? The answer is that: of course there is. What does this fave to do with graphs? Well recall that a graph is usually defined as a tuple ...

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The Joy of Types | joyoftypes.blogspot.com Reviews

https://joyoftypes.blogspot.com

The Joy of Types. Monday, January 13, 2014. On Graphs and Matrices. Warning: Everything here is probably either wrong or obvious. It is about an epiphany I had today, and nothing more. It has been almost a year since I have blogged, and I want to get back into it. So that lead me to thinking- is there a way to view adjacency matrices (and graphs) as linear transformation? The answer is that: of course there is. What does this fave to do with graphs? Well recall that a graph is usually defined as a tuple ...

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joyoftypes.blogspot.com

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The Joy of Types: August 2012

http://joyoftypes.blogspot.com/2012/08

The Joy of Types. Tuesday, August 14, 2012. GeneralizedNewtypeDeriving is Profoundly Unsafe. It is a well known fact in the Haskell community that GeneralizedNewtypeDeriving as currently implemented is unsafe. What I don't think people generally realize is just how unsafe it is. Okay, so now 2 of my favorite extensions (TypeFamilies and GADTs) have been shown to be incompatible with GeneralizedNewtypeDeriving. But, we still are not at the end of the story. If you look at the now 5 year old trac. For this...

2

The Joy of Types: April 2012

http://joyoftypes.blogspot.com/2012/04

The Joy of Types. Monday, April 23, 2012. Memory Regions à la carte. In the previous post we saw how to implement checked exceptions using free monads. The crucial idea was that, so long as the underlying monad was written using the "à la carte" style, we could add exceptions in such a way that. Programms would only compile if all exceptions were caught. We could program exactly as we would in the underlying (free) monad. Type inference was sufficient such that we did not require any type signatures.

3

The Joy of Types: GeneralizedNewtypeDeriving is Profoundly Unsafe

http://joyoftypes.blogspot.com/2012/08/generalizednewtypederiving-is.html

The Joy of Types. Tuesday, August 14, 2012. GeneralizedNewtypeDeriving is Profoundly Unsafe. It is a well known fact in the Haskell community that GeneralizedNewtypeDeriving as currently implemented is unsafe. What I don't think people generally realize is just how unsafe it is. Okay, so now 2 of my favorite extensions (TypeFamilies and GADTs) have been shown to be incompatible with GeneralizedNewtypeDeriving. But, we still are not at the end of the story. If you look at the now 5 year old trac. For this...

4

The Joy of Types: January 2014

http://joyoftypes.blogspot.com/2014/01

The Joy of Types. Monday, January 13, 2014. On Graphs and Matrices. Warning: Everything here is probably either wrong or obvious. It is about an epiphany I had today, and nothing more. It has been almost a year since I have blogged, and I want to get back into it. So that lead me to thinking- is there a way to view adjacency matrices (and graphs) as linear transformation? The answer is that: of course there is. What does this fave to do with graphs? Well recall that a graph is usually defined as a tuple ...

5

The Joy of Types: 2013

http://joyoftypes.blogspot.com/2013

The Joy of Types. Friday, January 25, 2013. Using Compiler Bugs for Fun and Profit: Introducing Cartesian Closed Constraints. Anyway, implicit parameters are not idiomatic Haskell these days, and unlikely to make it into a standard, and once you start to involve unsafeCoerce then you're clearly off the reservation. You can't have an implicit parameter in the context of a class or instance declaration. For example, both these declarations are illegal: class (? X: Int) = C a where . instance (? Almost a ye...

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joyoftypes.blogspot.com

The Joy of Types

The Joy of Types. Monday, January 13, 2014. On Graphs and Matrices. Warning: Everything here is probably either wrong or obvious. It is about an epiphany I had today, and nothing more. It has been almost a year since I have blogged, and I want to get back into it. So that lead me to thinking- is there a way to view adjacency matrices (and graphs) as linear transformation? The answer is that: of course there is. What does this fave to do with graphs? Well recall that a graph is usually defined as a tuple ...

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