Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and …

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, Veritas est adæquatio rei et …

Sep 18, 2021 · In a linear algebra book, I find the term "nontrivial solution" and can not understand what that means. Could someone please explain what this means?

Oct 29, 2025 · This is Wolfram convention wich is not the same as you define por K and E. I.e K (m)=K (√k). See reference.wolfram.com/language/ref/EllipticK.html

Jun 2, 2022 · Ok but the result ends up being the same, $u_ {xx} + u_ {yy}$ is never becoming zero since it is $\frac {x+y-1} {\sqrt {x^2 + (y-1)^2}}$

Sep 2, 2016 · And I understand that the partial derivatives gives the increase value in the directions of i and j versor respectively. But, why the gradient vector, compound of these two values gives the …

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 multiplying by infinity is …

Feb 23, 2018 · If anything, I think f−1(x) f 1 (x) is absolutely the correct notation for an inverse function. Correspondingly, I think f2(x) f 2 (x) is absolutely the correct notation for (f ∘ f)(x) = f(f(x)) (f ∘ f) (x) = f …

Dec 20, 2025 · I have been exploring the transcendental equation $ a^b = 2^{ab} $ in complex numbers, with $ a, b \\in \\mathbb{C} $, $ a \\neq 0 $, $ b \\neq 0 $. This equation has infinitely many solutions …

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 "context"; it's not mainly the …