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 …
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
Ramanujan's approximation for - Mathematics Stack Exchange
In 1910, Srinivasa Ramanujan found several rapidly converging infinite series of $\\pi$, such as $$ \\frac{1}{\\pi} = \\frac{2\\sqrt{2}}{9801} \\sum^\\infty_{k=0 ...
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 …
Prove by induction that $n!>2^n$ - Mathematics Stack Exchange
Possible Duplicate: Proof the inequality n! ≥2n n! ≥ 2 n by induction Prove by induction that n!>2n n!> 2 n for all integers n ≥ 4 n ≥ 4. I know that I have to start from the basic step, which is to confirm the …
How to avoid radical skepticism? - Philosophy Stack Exchange
Dec 31, 2025 · Whenever I try to solve a problem philosophically, I always end up at radical skepticism, where the solution is unprovable. I understand that skepticism leads nowhere, but I always tend to …
Determine P. D. F from a Mixed-Type Random Variable
May 21, 2025 · A ver, por tu nombre supongo que hablas español, y además el ejemplo/ejercicio es de uno de los libros de Luis Rincón. Lo que propones si está correcto de forma didacta y para entender …
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\times b)=:x$. Using the cyclic property of the scalar triple product, we …
Why is Nietzsche so against Socrates? - Philosophy Stack Exchange
Nietzsche recalls the story that Socrates says that 'he has been a long time sick', meaning that life itself is a sickness; Nietszche accuses him of being a sick man, a man against the instincts of...
What is the difference between Fourier series and Fourier ...
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 pure mathematics)?