cinera_handmade.network/cmuratori/hero/code/code041.hmml

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[video member=cmuratori stream_platform=twitch stream_username=handmade_hero project=code title="Overview of the Types of Math Used in Games" vod_platform=youtube id=WN3_d_QcJZE annotator=abnercoimbre annotator=schme annotator=theinternetftw]
[00:00][Intro]
[1:58][Discussing the reason for a math discussion.]
[3:58][Overview of math in programming]
[8:20][Arithmetic & Algebra]
[10:07][Euclidean Geometry]
[12:35][Trigonometry]
[14:02][Calculus]
[18:12][Complex Numbers]
[19:58][Higher-level mathematics in game programming.]
[20:49][Linear Algebra]
[29:22][Partial Differential Equations]
[33:59][Ordinary Differential Equations]
[41:03][Non-euclidean Geometry]
[48:04][Topology]
[51:20][Minkowski Algebra]
[53:54][Control Theory]
[55:02][Interval Arithmetic]
[57:00][Graph Theory]
[58:32][Operations Research]
[59:48][Probability & Statistics]
[1:00:10][Discrete mathematics]
[1:02:33][Q&A]
[1:03:11][Do you even breathe bro?]
[1:03:20][Doesn't toroidal topology also apply to spheres?]
[1:07:58][Laptop battery dies]
[1:10:07][Q&A Resumes]
[1:10:36][Is it important to clarify many of these subjects can be learned when you need them, not needed as a baseline?]
[1:11:41][Most of 3D games is in euclidian geometry]
[1:12:25][What happens in partial differential equations if Scott Meyers is in a gorilla suit..]
[1:13:23][Don't the tiles near the inner part of the torus get smaller compared to outside?]
[1:15:59][How is dealing with complex numbers in four dimensions more useful for doing rotations?]
[1:24:39][Ever do anything with laplace transforms?]
[1:25:36][What type of math is used in AI?]
[1:26:05][Is all of the things shown in math classes useful?]
[1:27:01][Quaternions as you use them in rotations are not euclidian!]
[1:27:37][Can we talk a bit about what out of the master list do we expect to use in this game?]
[1:28:45][Will the next two weeks cover the basic functionalities of the parts that are math heavy?]
[1:29:22][Did you learn most of your math from books or did you take courses?]
[1:29:37][I heard Markov chains are also useful crossing control theory with probability. Will we use these?]
[/video]