Numbers of the World

 Posted on October 20, 2016  |  9 minutes  |  1841 words  |  Markus Shepherd

Recently Matt Parker uploaded a video to his YouTube channel where he discussed numbers and the words used to represent them in different languages, more precisely the length of these words: The basic idea is the following: one has 3 letters, two has 3 letters, three has 5 letters, four has 4 letters, five has 4 letters, six has 3 letters, seven has 5 letters, eight has 5 letters, nine has 4 letters, ten has 3 letters, and so on… This can be seen as a function [Read More]
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Visualising the Riemann Hypothesis

 Posted on April 10, 2016  |  3 minutes  |  429 words  |  Markus Shepherd

Update 2024-10-20: Watch the video now in 4K! One stubborn source of frustration when working with complex numbers is the fact that visualisation becomes tedious, if not impossible. Complex numbers have 2 “real” dimensions in themselves, which give rise to the complex plane. That’s all good and fair. But if you talk about a function with complex domain and codomain, you already deal with a 4-dimensional graph. Unfortunately, my mind can only handle 3 dimensions (on a good day). [Read More]
Complex numbers  Dimensions  Graph  Sage  SageMath  Video  Visualisation  Zeta function