I'm trying to understand how to do "real" strong induction, but my textbook seems to be of no help. It defines strong induction as follows: Let $P(n)...

I am struggling a lot with triple integrals. I can evaluate them, but I find it extremely difficult to write the triple integral. I cannot visualize them....

For all $x$, if $x^2$ is even, then $x$ is even. The contrapositive to this statement is: For all $x$, if $x$ is odd, then $x^2$ is odd. Why do we ignore ...

Is there a definition of the word functorial? Often I read that certain things are functorial and often I have an intuition of what is meant. But is there...

How can I construct the centroid of a quadrilateral? I suppose that it is the intersection between the lines that join the middles of opposite sides.

The following is from Analysis with an Introduction to Proof by Steven Lay Prove the principle of strong induction: Let $P(n)$ be a statement that is eith...

Let $V$ be a vector space of finite dimension and let $T,S$ linear diagonalizable transformations from $V$ to itself. I need to prove that if $TS=ST$ ever...

P(A) = 0.7, P(B) = 0.2 assuming independent events what is the probability of not A or not B? I thought I could substitute P(A') = 1-P(A) and P(B...

Convergent or Divergent? $$\int_0^1 \frac {dx}{(x+x^{5})^{1/2}} $$ I have problem with the fact that if we have integration from 0 to a say and a to infin...

Would someone please help explain how to calculate the norm of an ideal? I can't find a source that explains this clearly. For example, I know that t...