After all this time I feel that I do not have an answer for the same question. Can someone propose me a book where I can read something about it? Because from the graph of the gamma function, it looks like #\Gamma(-2)## is not defined. Also #\lim_{x \to -2^{+}}=\infty# and #\lim_{x \to...
You can give me 2x2 example. But specify ##A##, ##U## and ##D##. Because ##U## still possibly can be formed of eigenvectors of ##A## in your example of ##U##.
Every hermitian matrix is unitary diagonalizable. My question is it possible in some particular case to take hermitian matrix ##A## that is not diagonal and diagonalize it
UAU=D
but if ##U## is not matrix that consists of eigenvectors of matrix ##A##. ##D## is diagonal matrix.
Can you please explain this series
f(x+\alpha)=\sum^{\infty}_{n=0}\frac{\alpha^n}{n!}\frac{d^nf}{dx^n}
I am confused. Around which point is this Taylor series?
I do not understand why ##(Z.+)## is the cyclic group? What is a generator of ##(Z,+)##?
If I take ##<1>## I will get all positive integers. If I take ##<-1>## I will get all negative integers. I should have one element which generates the whole group. What element is this?
If we have two functions ##f(x)## such that ##\lim_{x \to \infty}f(x)=0## and ##g(x)=\sin x## for which ##\lim_{x \to \infty}g(x)## does not exist. Can you send me the Theorem and book where it is clearly written that
\lim_{x \to \infty}f(x)g(x)=0
I found that only for sequences, but it should...