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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...Karatsuba algorithm? Or: Faster than expected. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html TeX files for the presentation. https://github.com/dtubbenhauer/My-Te... Thumbnail. https://en.wikipedia.org/wiki/Sierpi%... Main discussion. https://www.cambridge.org/core/books/... https://en.wikipedia.org/wiki/Karatsu... https://en.wikipedia.org/wiki/Multipl... https://www.geeksforgeeks.org/karatsu... https://brilliant.org/wiki/karatsuba-... https://iq.opengenus.org/karatsuba-al... https://www.quantamagazine.org/mathem... https://projecteuclid.org/journals/an... Background material. https://en.wikipedia.org/wiki/Asympto... https://en.wikipedia.org/wiki/Big_O_n... https://en.wikipedia.org/wiki/Divide-... https://en.wikipedia.org/wiki/Categor... https://en.wikipedia.org/wiki/Toom%E2... https://en.wikipedia.org/wiki/Sch%C3%... https://en.wikipedia.org/wiki/Compute... https://en.wikipedia.org/wiki/Cooley%... Mathematica. https://mathworld.wolfram.com/Karatsu... Pictures used. https://encrypted-tbn0.gstatic.com/im... https://en.wikipedia.org/wiki/Karatsu... https://mathbitsnotebook.com/Algebra1... Picture from https://www.cambridge.org/core/books/... Pictures created with Mathematica’s ListPlot for example https://reference.wolfram.com/languag... YouTube and co. • Karatsuba's multiplication Algorithm • Lecture 11: Integer Arithmetic, Karatsuba ... • Karatsuba's Multiplication Trick Summarise... • karatsuba algorithm: fast integer multipli... #computeralgebra #computerscience #mathematics