/explore

Click through on any links that interest you or select the planets on the right to continue exploring the Outer Web.
You are here

gregtatum.com
| | jeskin.net
4.7 parsecs away

Travel
| | [AI summary] This blog post explains the concept of model, view, and projection matrices in 3D graphics rendering, detailing their roles in transforming 3D objects to 2D screen space and providing examples of their implementation in OpenGL ES.
| | jkmsmkj.fyi
3.4 parsecs away

Travel
| | You should have come from here! Here's a quickie: What are the eigenvalues of a 2D rotation matrix? Here's a problem: For a bunch of rotations performed one after another on a 3D object, find an equivalent single rotation which would give the same result. Here's a solution: First of all, multiply all the rotation...
| | berk.es
12.6 parsecs away

Travel
| |
| | peterbloem.nl
21.0 parsecs away

Travel
| [AI summary] The text provides an in-depth explanation of the Fundamental Theorem of Algebra, which states that every non-constant polynomial of degree $ n $ has exactly $ n $ roots in the complex number system, counting multiplicities. It walks through the proof by first establishing that every polynomial has at least one complex root (using the properties of continuous functions and the complex plane), then using polynomial division to factor the polynomial into linear factors, and finally addressing the nature of roots (real vs. complex) and their multiplicities. The text also touches on the conjugate root theorem, which explains why complex roots of polynomials with real coefficients come in conjugate pairs.