Is there a library of finite groups given by their multiplication tables? can I get this result using the GAP SYSTEM ?

Can someone please explain what is Dual representation in plain English. I read its definition on wikipedia and at many other places but could not develop...

I have the following integral : $$\int \frac{x^2+2x+3}{x^2-5x+6}~dx$$ Although I tried to solve it by partial fractions, I could not come up with an appro...

A set function $\mu(A)$ is called a measure if 1. ... 2 ... 3. $\mu$ is additive in the sense that if $A$ is a set in $\mathscr{S}_{\mu}$ such that $$A = ...

For the circle $x^2+y^2+6x-4y+3=0$ find a) The center and radius b) The equation of the tangent line at the point $(-2,5)$ Now, I solved a) and got the eq...

The question is: If A is a square matrix such that $A^2=A$ then $A^n =A$ for all natural numbers $n$ greater than one. What is $A$ if $A \ne 0$ and $A \ne...

One of the nicest theorems in linear algebra is the one that a matrix satisfies its own characteristic polynomial, the so-called Cayley-Hamilton theorem. ...

I'm trying to come to come to grips with the notion of a hermitian manifold. Although I know some examples of hermitian manifolds, I am more interest...

I am reviewing my knowledge of coordinate geometry and came across this question about proving the midpoint formula: Unfortunately, the answer for this qu...

Question; What is the flux of the vector field $F=<x,-y,z>$ out through the surface of the cylinder which is $x^{2} + y^2 = a^2 , 0<z<b$. I ca...