Blog articles tagged 'math'

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Simplify data with SVD and Math.NET in F#

on 3/25/2013 4:33 PM

My trajectory through “Machine Learning in Action” is becoming more unpredictable as we go – this time, rather than completing our last episode on K-means clustering (we’ll get back to it later), I’ll make another jump directly to Chapter 14, which is ded[...]

f# math machine learning

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How dense is the product of Sparse Matrices?

on 10/31/2012 7:43 PM

This post is to be filed in the “useless but fun” category. A friend of mine was doing some Hadoopy stuff a few days ago, experimenting with rather large sparse matrices and their products. Long story short, we ended up wondering how sparse the product of[...]

f# math

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Introduction to Lambda Calculus

on 8/28/2012 9:23 AM

You might have heard that functional programming is based on Lambda Calculus – and indeed this is true (LISP was greatly influenced by Alonzo Church’s Lambda Calculus and you might have heard of “lambda”s in other functional languages as well) … Continue [...]

f# functional math lambdacalculus

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The Chinese remainder theorem

on 1/24/2012 1:13 PM

I hope to do a series covering some theory and implementation of the RSA algorithm in F# in the near future – and one of it’s main ingredients (for simplifying the hard calculations) is the Chinese remainder theorem – so … Continue reading →

f# math math coding number theory

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Why do most programmers work so hard at pretending that they’re not doing math?

on 1/13/2012 6:36 PM

In the early days programming was considered a subdiscipline of mathematics. In fact, the very first person to write an algorithm was renowned as a mathematical genius. However, somewhere along the way we forgot. We began to think of ourselves as somethin[...]

f# tdd programming math thoughts abstraction

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FunTracer: Textures and Fog

on 12/8/2011 4:00 PM

In this post I will introduce the concept of textures (and apply it to our plane-primitive) and explain why I choose to add a fog effect. This is the texture we are going to tile to our “floor”: What is … Weiterlesen →

f# math raytracing

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Vector Fun: projection of a vector on another

on 12/7/2011 8:00 AM

I just realized that I used a technique – projecting a vector on a line given by another vector – in my last post on ray-tracing that I did not justify in any way. Look at this picture: Given vector … Weiterlesen →

vector math dot-product