
factorial - Why does 0! = 1? - Mathematics Stack Exchange
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 …
Who first defined truth as "adæquatio rei et intellectus"?
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 …
What is meant by "nontrivial solution"? - Mathematics Stack …
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?
For what integer $n$ does $E(2/n)/K(2/n)$ reduce to Gamma …
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
complex analysis - Show that the function $f (z) = \log (z-i)$ is ...
Jun 2, 2022 · Ok but the result ends up being the same, $u_ {xx} + u_ {yy}$ is never becoming zero since it is $\frac {x+y-1} {\sqrt {x^2 + (y-1)^2}}$
When 0 is multiplied with infinity, what is the result?
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 …
calculus - Why the gradient vector gives the direction of maximum ...
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 …
What are the criteria for "bad faith" questions?
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 …
Left and right multiplying of matrices - Mathematics Stack Exchange
Sep 8, 2015 · I am new to matrix multiplication and trying to understand something. Suppose you have a matrix equation Ax = b A x = b. I know to solve for x x you should left multiply by the …
Complex solutions to - Mathematics Stack Exchange
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 …