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  1. 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 …

  2. 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 …

  3. 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?

  4. 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

  5. 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 $\frac {x+y-1} {\sqrt {x^2 + (y-1)^2}}$

  6. 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 …

  7. 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 …

  8. 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 …

  9. 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 …

  10. 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 …