Category Archives: Maths

Light Propagation Volumes

Posted on July 18, 2010 by BlackHC

I’ve finally finished my lab course last week – thanks to my supervisor Matthäus G. Chajdas – you can read his blog here -, it wasn’t your usual lab course with work sheets and boring homework, instead I’ve been allowed … Continue reading →

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Rotation of Low Order Spherical Harmonics

Posted on June 20, 2010 by BlackHC

I’m currently working at university on implementing Light Propagation Volumes. The paper makes extensive use of spherical harmonics while the implementation uses the first two bands. Below is a visualization of the first 4 bands of the SH basis functions … Continue reading →

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Rigid Body Motion

Posted on May 30, 2010 by BlackHC

Last week I had to give a presentation about Rigid Body Motion (ie the basics of rigid body physics and some general mechanics). Here are two versions of my presentatio (one with less text and one with more): Rigid Body … Continue reading →

Posted in Maths, Uncategorized, University | Tagged , , , , , | 2 Comments

A quick note on quantifiers: For almost all and there exist infinitely many

Posted on March 27, 2010 by BlackHC

It’s been a while since my last post and now it’s time for a mathematical post: I’m currently preparing for a math exam (calculus) and I’m thinking it would be nice if there was a way to avoid much of … Continue reading →

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Random Things

Posted on November 27, 2009 by BlackHC

It’s been a while since the last update. Here’s a small update on what I’m thinking about various stuff. Prototype Gameplay is okay I guess. Nothing I would spent too much time on though. It looks a lot worse than … Continue reading →

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Semi-Conductor Optimization (Uni Project)

Posted on August 2, 2009 by BlackHC

I’ve written my last exam yesterday (except for two oral exams in September), so now I have got some spare time before I start working on my Bachelor Thesis tomorrow and I want to use it to wrap up a … Continue reading →

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\epsilon Induction

Posted on May 26, 2009 by BlackHC

Induction over natural numbers is a standard tool in Mathematics. But what about doing induction over real numbers´? The structure is different and it’s not immediately clear what is meant, so let me clarify it. Let be a proposition that … Continue reading →

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Analysis, Cauchy-Schwarz and Reciprocal Sums

Posted on May 7, 2009 by BlackHC

Konkrete Analysis First I want to share some solutions for the exercises of a Maths book. The book is called Konkrete Analysis by Folkmar Bornemann and is written in German as are my solutions for some of the exercises. (I … Continue reading →

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The Reverse Pigeonhole Principle

Posted on May 5, 2009 by BlackHC

Everybody (I hope) knows about the pigeonhole principle. In short it states that: If and , then there exists at least one with . For example, if we have n + 1 pigeons in only n pigeonholes, there is (at … Continue reading →

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Seminar about Motion Retargeting

Posted on January 31, 2009 by BlackHC

Two weeks ago I had to give a presentation about Motion Retargeting, which I want to share with you now. I created it due to me attending a seminar about the latest developments in Computer Graphics at university and my … Continue reading →

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