An amazing mathematical fact, called the Borsuk-Ulam Theorem, says that at any moment in time there is always a pair of locations directly opposite each other ... |
In case you are curious, the Borsuk-Ulam points here are calculated by numerically minimizing the ''energy'' by which we mean the sum of the square of the ... |
12 дек. 2023 г. · Borsuk-Ulam explorer http://julius-ross.com/Borsuk-Ulam/ There are always antipodal points on earth with the same temperature and pressure. |
Cool. That's the principle behind why you can stabilize a wobbly table by turning it -- you will find a position where all four legs are on the ground. |
19 янв. 2024 г. · The Borsuk-Ulam Explorer. Just think what a coincidence it would be if the earth was exactly the same temperature at two point opposite each ... |
We have created an outreach/educational page that illustrates the amazing Borsuk-Ulam Theorem with live weather data (explorer, source). |
2 нояб. 2023 г. · We use and adapt the Borsuk-Ulam Theorem from topology to derive limitations on list-replicable and globally stable learning algorithms. |
4 янв. 2024 г. · The classical Borsuk-Ulam theorem asserts that the image of the map (f_1,\ldots ,f_m) :S(V)\to R^m contains 0=(0,\ldots ,0). |
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