Prove conjugation law for Exp(z) using only Exp(x + y) = Exp(x)Exp(y)
Starting with just the property $ E(x + y) = E(x)E(y)$ , one can prove quite a lot of the main properties of the exponential function on real numbers. For example, $ E(0) = 1$ , and $ E'(X) = E(X)$ ,...
View ArticleExplicit description of the conjugation action of $a_p = [[1,0],[0,p]]$ on...
Let $ a_p$ denote the matrix $ [[1,0],[0,p]]$ , where $ p$ is prime. Then $ SL_2(\mathbb{Z}[1/p])$ can be presented as the amalgamated product $ $ SL_2(\mathbb{Z})*_{\Gamma_0(p)}...
View ArticleDownload package to simplify Complex Conjugation
I want to use Needs to download QuickReIm package to simplify the Complex Conjugation, but I keep getting errors: here is the Command: Needs["QuickReIm`"] and here are the errors: Get::noopen: Cannot...
View Article
More Pages to Explore .....
