What is...a Hadamard matrix?
Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...a Hadamard matrix? Or: Orthogonality exists! Or not? Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Sorry. Somehow the picture froze. Not the slides though and I guess you do not need to see me anyway ;-) Slides. http://www.dtubbenhauer.com/youtube.html Thumbnail. Picture from https://demonstrations.wolfram.com/Sm... Main discussion. https://en.wikipedia.org/wiki/Hadamar... https://mathworld.wolfram.com/Hadamar... https://nhigham.com/2020/04/10/what-i... https://oeis.org/search?q=Hadamard+Ma... https://en.wikipedia.org/wiki/Walsh_m... https://en.wikipedia.org/wiki/Quincun... https://rangevoting.org/SkewHad.html https://mathworld.wolfram.com/PaleyCo... https://www.sciencedirect.com/science... Background. https://projecteuclid.org/journals/an... https://en.wikipedia.org/wiki/Hadamar... https://en.wikipedia.org/wiki/Combina... https://en.wikipedia.org/wiki/Quantum... http://neilsloane.com/hadamard/ Mathematica. https://demonstrations.wolfram.com/Sm... https://demonstrations.wolfram.com/Ya... Pictures used. https://www.cs.princeton.edu/courses/... Picture from https://demonstrations.wolfram.com/Sm... More pictures from https://demonstrations.wolfram.com/Sm... Even more pictures from https://demonstrations.wolfram.com/Sm... Picture using Mathematica Plot YouTube and co. • Video • Hadamard Matrices - Raymond Jin • Hadamard Matrices Lect.-01 || Hadamard Mat... #combinatorics #linearalgebra #mathematics
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