Given the sequence 123456789: You can insert three operations ($+$,$-$,$\times$,$/$) into this sequence to make the equation = 100. My question is: is the...
It is well known that $\|u \cdot v \|_2 \le \|u \|_2 \cdot \| v \|_2 $ for all $u, v \in \mathbb{R}^d$. Is the following true for all $p \in \mathbb{R}$: ...
I'm looking for a function that has two asymptotes parallel to the x-axis. Preferably it should also only cross the x-axis at (0,0) and be built with...
I am facing some difficulties understanding the difference between a general solution and the most general solution of a 2nd order ODE for example for hom...
How can I represent a set of distinct numbers in shorthand mathematical notation? In particular I am trying to write that there are 4 distinct integers $a...
I'm struggling to understand the procedure to solve the following problem: The group consists of 9 people, 3 men and 6 women. They are divided random...
One of the definitions of a conic section is that the conic section is a locus of points whose distance to the focus $F$ is a constant multiple of distanc...