I was just wondering what were the main/important uses of the Fibonacci sequence as well as any other generalized Fibonacci sequences in real life applica...

For example, in $\displaystyle{\frac{a+bi}{n+zi}}$, you would multiply both by the complex conjugate of the denominator, $n-zi$, to get rid of the complex...

The sum of squares of $k$ independent standard normal random variables $\sim\chi^2_k$ I read here that if I have $k$ i.i.d normal random variables where $...

As the title says, I'm trying to prove that both definitions of a $\lambda$-system are equivalent to each other. It's maybe a bit longer than us...

The problem is relatively simple, but I am a student teacher and the students were working on solving rational inequalities. Such as $\frac{x+1}{x+3} \leq...

I have a math problem from a math contest I will be taking soon that I simply cannot understand how they got their answer. If Train A leaves at noon from ...

I know that $\int \frac{1}{x}~dx = \ln|x| + C$ and I know the antiderivative method works for all powers of $x$ except $-1$. But why is that the case? I a...

A committee of $6$ people will be formed with $7$ men and $6$ women. The oldest of the $7$ men is A and the oldest of the $6$ women is B. It is described ...

"Let $P$ be the change-of-basis matrix from a basis $S$ to a basis $S'$ in a vector space $V$. Then, for any vector $v \in V$, we have $$P[v]_{S'}...

On the wikipedia site for the Kantorovich inequality, it is claimed ... the Kantorovich inequality is a particular case of the Cauchy–Schwarz inequality.....