Entries from 2022-09-27 to 1 day

logical fallacy of Gaussian integral

exp −(x2 + y2) ≠ exp −r2 ≠ √π T.theodor 2022.9.27.

Infinite product

Π 1−1/ns T.theodor 2022.9.26.

function

f(x) = αxn+βxn-1…+ω g(x) = α'x+β' S = |α|/n(n+1) (b−a)n T.theodor 2022.9.27.

function

f(x) = αxn+βxn-1…+ω g(x) = α'x+β' S = |α|/n(n+1) (b−a)n T.theodor 2022.9.27.

logical fallacy of Stirling's approximation

n! ≠ 2.5√n(n/e)neλn e ≒ 2.71 T.theodor 2022.9.27.

logical fallacy of Stirling's approximation

n! ≠ 2.5√n(n/e)neλn e ≒ 2.71 T.theodor 2022.9.27.

logical fallacy of gamma function

Γ(n) ≠ n!,Γ(n) ≠ (n−1)! T.theodor 2022.9.27.

logical fallacy of Beta function

B(z1,z2) ≠ B(z2,z1) z1 = a+bi z2 = c+di f(x) = tz1 −1(1−t)z2 −1 T.theodor 2022.9.26.