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 of 0 and …
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 est adæquatio rei et …
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 infinity is …
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 values gives the …
For what integer $n$ does $E(2/n)/K(2/n)$ reduce to Gamma functions?
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
Is $x^{1/3}$ differentiable at $0$? - Mathematics Stack Exchange
which is continuous at the origin but has different slopes as we approach 0 0 in different directions), however at the origin the derivative approaches infinity. So there's a discrepancy, between the …
Is there a logical fallacy for confusing means with ends?
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 aren't accomplishing the …
Vector cross product identity for $(a\\times b)\\cdot(c \\times d)$
It might be helpful if you first introduce a new symbol to refer to one of the vector cross-products as a whole. E.g., let's define (a × b) =: x (a × b) =: x. Using the cyclic property of the scalar triple product, …
Newest 'ordinary-differential-equations' Questions
For questions about ordinary differential equations, which are differential equations involving ordinary derivatives of one or more dependent variables with respect to a single independent variable. For …