Tag: curves

VFX Series. Shaders: Lesson 1. Power of curves

Welcome to the first lesson in the VFX Shader Series This series doesn’t expect you to be good at programming or math, though if you are it will help. You need a very basic understanding of what program code is, how to create a function, a variable, and an if statement (in any pro...

Ask Ethan: If Mass Curves Spacetime, How Does It Un-Curve Again?

For hundreds of years prior to Einstein, our best gravitational theory came from Newton. Newton’s concept of the Universe was simple, straightforward, and philosophically dissatisfying to many. He claimed that any two masses in the Universe, no matter where they were located or how far apart t...

Second derivative and sketching curves

What is the second derivative? To find the second derivative of a function, we simply differentiate the function in the usual way, and then we take the result and differentiate it again. In other words, we differentiate the function twice. Here is an example function: Using Leibniz’s not...