Explore >> Select a destination
|
You are here 
|
www.reedbeta.com | ||
| | | | |
lisyarus.github.io
|
|
| | | | | ||
| | | | |
thenumb.at
|
|
| | | | | Or, where does that \(\sin\theta\) come from? Integrating functions over spheres is a ubiquitous task in graphicsand a common source of confusion for beginners. In particular, understanding why integration in spherical coordinates requires multiplying by \(\sin\theta\) takes some thought. The Confusion So, we want to integrate a function \(f\) over the unit sphere. For simplicity, lets assume \(f = 1\). Integrating \(1\) over any surface computes the area of that surface: for a unit sphere, we should end... | |
| | | | |
jamie-wong.com
|
|
| | | | | One of the techniques used in many demo scenes is called ray marching. This algorithm, used in combination with a special kind of function called | |
| | | | |
qchu.wordpress.com
|
|
| | | (Part I of this post ishere) Let $latex p(n)$ denote the partition function, which describes the number of ways to write $latex n$ as a sum of positive integers, ignoring order. In 1918 Hardy and Ramanujan proved that $latex p(n)$ is given asymptotically by $latex \displaystyle p(n) \approx \frac{1}{4n \sqrt{3}} \exp \left( \pi \sqrt{ \frac{2n}{3}... | ||
