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| | | | | mikespivey.wordpress.com | |
| | | | | Equations of the form $latex x^3 = y^2 + k$ are called Mordell equations. In this post we're going to prove that the equation $latex x^3 = y^2 -7$ has no integer solutions, using (with one exception) nothing more complicated than congruences. Theorem: There are no integer solutions to the equation $latex x^3 = y^2... | |
| | | | | thehighergeometer.wordpress.com | |
| | | | | Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... | |
| | | | | cuoichutdi.wordpress.com | |
| | | | | Liverpool v?a vô ??ch Premier League, ?i?u này t?o nên m?t th?ng kê thú v?: s? cúp vô ??ch c?a các ??i bóng t?o thành m?t dãy s? Fibonacci. ?i?u này là ng?u nhiên hay có m?t cách lí gi?i toán h?c ?n sau nó? Tôi biên bài báo ng?n v? dãy Fibonacci c?ng nh?... | |
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