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The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$. Otherwise this would be restricted to $0
What I would say is that you can multiply any non-zero number by infinity and get either infinity or negative infinity as long as it isn't used in any mathematical proof. Because m
Oct 3, 2018 · As an example, I downloaded some GPS data from my camera the other day in which I found numbers like $4215.983.$ This turned out to represent $42$ degrees and $15.98
Mar 28, 2022 · António Manuel Martins claims (@44:41 of his lecture "Fonseca on Signs") that the origin of what is now called the correspondence theory of truth, Verita
Nov 23, 2025 · The main criteria is that it be asked in bad faith. ;-). I'm not entirely insincere: The question is rather how can we tell that, and a big part of the answer is "c
Mar 9, 2026 · Given any Quadratic Diophantine Equation, $$ax^2+bxy+cy^2+dx+ey+f=0\\tag1$$ then it can be transformed to two Pell-type equations, $$u_i^2-Dv_i^2 = k_i\\tag2$$ as ..
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Jan 6, 2026 · In general, people don't confuse the means with the ends. Instead, what happens is that people get so wrapped up in the means that they fail to see that the means ar
Dec 17, 2023 · The cases a and b are invalid by restrictions 1 and 2. The case c by restriction 3. PS: about “to split a DGGS cell”, for an exact definition, see DGGS standard
Oct 26, 2012 · What's the difference between Fourier transformations and Fourier Series? Are they the same, where a transformation is just used when its applied (i.e. not used in