How does one create an explicit bijection from the reals to the set of all sequences of reals? I know how to make a bijection from $\mathbb R$ to $\mathbb...

I know that if $A$ is an orthogonal matrix, then $AA^T = I$. However, is it possible to have a non orthogonal square matrix but $AA^T = I$ as well? A squa...

Finding $y$-intercepts is very easy on a TI-83/TI-84 calculator. All you have to do is graph the function and use 2nd $\to$ Trace $\to$ Value $\to$ $x=0$....

Let $A$, $B$, and $C$ denote vertices of a triangle in the plane. Let $O$ be some point in the plane. Prove that $OM = \frac{1}{3}(OA+OB+OC)$, where $M$ d...

This may be a electrical question but it involves integration so I am posting it in the math form: I know that $$V_\left(t\right) = V_p*\sin{(2\pi*f*t)}$$...

My task requires to find all numbers from $1-1000$ such that they are divisible by $2$ or $3$ and no other primes. I know that $2$ divides even numbers an...

Let $A$ and $B$ two disjoint events such that $P(A)=0.3$ and $P(B)=0.5$. Find the probability that i)$A$ or $B$ ocurrs ii)$A$ occur but not $B$ iii)repeat...

I have a simple equation which looks like that except that there placed vector signs there are straight horizontal lines: \begin{equation} \ z = i^8 + \ov...

Assuming I have a complex non-symmetric matrix $A$ which is "positive definite" in the sense that $\Re(x^*Ax) > 0$. A necessary and sufficient conditio...

So for the formula $\dfrac {1}{n}$, If you were to add up all $y$ values from $n=1$ to $n=∞$, wouldn't the sum $$\sum_{n=1}^\infty \frac{1}{n}$$ appr...