query: What is the inverse of $y=x!$ for $x>0$?
positive_passages.docid: 20611
positive_passages.text: Inverse of a factorial
negative_passages.docid: 38636
negative_passages.text: A basic question about exponentiation: when is $a^{xy}=(a^x)^y$?
negative_passages.docid: 1932
negative_passages.text: How to show this equality of $\rho(X,Y)$
negative_passages.docid: 1102
negative_passages.text: Way to determine if X and Y are both over 0
negative_passages.docid: 14161
negative_passages.text: Proof of when is $A=X^TX$ invertible?
negative_passages.docid: 76297
negative_passages.text: What is the inverse of the $\mbox{vec}$ operator?
negative_passages.docid: 24441
negative_passages.text: Inverse of a matrix is expressible as a polynomial?
negative_passages.docid: 20856
negative_passages.text: Inverse of Linear Transformations
negative_passages.docid: 105316
negative_passages.text: Prove : $|x - y| \leqslant \epsilon$ $\forall \epsilon > 0$ iff $x = y$
negative_passages.docid: 140988
negative_passages.text: Prove $\exp(x)\exp(y)=\exp(y)\exp(x)$ if $[x,y]=0$.
negative_passages.docid: 84466
negative_passages.text: How to compute the inverse of a polynomial under $GF(2^8)$?
negative_passages.docid: 52587
negative_passages.text: Real analysis : Problem related to inverse
negative_passages.docid: 86919
negative_passages.text: When (and more importantly, why) does $AA^T$ have an inverse?
negative_passages.docid: 138074
negative_passages.text: Integrating the inverse of a function.
negative_passages.docid: 69172
negative_passages.text: $y'=$ ${-x+\sqrt{(x^2+4y)}}\over 2$ , $y(2)=-1$
negative_passages.docid: 71252
negative_passages.text: What is the inverse function of $e^x +x$?
negative_passages.docid: 25078
negative_passages.text: What is the solution set for the equation$ x ^ y = y ^ x$ in positive real numbers, x not equal to y?