I have two matrices, both positive definite, real symmetric and one is diagonal. What can I say about lower and upper bound of the eigenvalues of the prod...

How do I negate the following statement? What are the steps which should be taken to negate an argument such as the one given? $$\exists y \forall x ((y &...

How are $C^0,C^1$ norms defined? I know $L_p,L_\infty$ norms but are the former defined.

In this KhanAcademy link at 2:25, Sal (the narrator) says that $i^2$ is negative 1 and he didn't explain why. Why is this so? What is the intuition b...

consider this equation, $$y=x(400-x)$$the second derivative of this equation is $$y''=-2$$ As far as I know, a negative sign in the second deriv...

So, this question asks about how useful computational tricks are to mathematics research, and several people's response was "well, computational...

Without using a calculator, how do I find: $$\sum_{k=0}^7 \left(\tfrac{2}{3}\right)^k $$ I know about the formula for the sum of a geometric series $\frac...

This problem arose in a different context at work, but I have translated it to pizza. Suppose you have a circular pizza of radius $R$. Upon this disc, $n$...

I can get my head around this so someone explain it please. $(1)$ From Galois theory it is known there is no formula to solve a general quintic equation. ...

I've always felt that the notion of 'area under the curve' is more precise than 'length of a curve', because of the Riemann integ...