I am working with vector functions and one of the problems has $e$ in it. I always thought that $$\lim_{x\to\infty}e^{ax} = \infty$$ but the book says oth...

By definition parallelograms are special type of trapezoids. Given a trapezoid with known sides one can calculate its area according to wikipedia. But in ...

If a graph is labelled as a forest it does not contain any cycles, meaning it consists of all trees, which I realize can even be a single node (since that...

The topic is euclidean algorithm and GCD. This is a simple question, but I'm just stuck finding an inverse for 23 in $Z_{60}$. I performed the algori...

today I'm studying binomial expansion and I'm a little confused about when certain expressions are valid. E.g. take this solution from my textbo...

I need to be able to calculate and find the true center of rotation (x,y) of an object after it has been rotated by a known angle. Previously I would simp...

Mathematical proofs are written as sentences and not as collections of logic symbols. Through logical operations, it is much easier for me to visualize wh...

Consider a random variable $X$ taking values over $\mathbb{N}$. Let $\mathbb{P}(X = i) = p_i$ for $i \in \mathbb{N}$. The entropy of $X$ is defined by $$H...

I know the formula $x^2 + 2xy + y^2 = (x + y)^2$ by heart and in order to understand it better I am trying to solve the formula myself; however, I don...

I have $$\lim_{z \to i} \frac {iz^3-1}{z+i}=0$$ To prove this I am trying to use the epsilon-delta definition. By saying that for any $\delta >0$ and a...