How does one compute the cardinality of the set of functions $f:\mathbb{R} \to \mathbb{R}$ (not necessarily continuous)?

How can you simplify $\sqrt{3+\sqrt{8}}$? I tried to change $\sqrt8$ to $2\sqrt2$, but I don't know what to do next. Can you simplify it to one layer...

We have a fair coin. The game ends when we get a head. the payoff is $2^N$ where N is the number of flips until we get the head. What is the expected valu...

I'm tripping over something elementary: Suppose $f:\mathbb{R^2}\rightarrow X$ is linear, then $f(x+y)=f(x)+f(y)$ for all vectors $x$ and $y$. Now sup...

I first asked this on english.stackexchange.com, but this site would probably be a better-suited to answer it: In division, we have a dividend and a divis...

Let $A$, $B$, and $C$ be sets where $A=\{1,2\}$, $B=\{0,1\}$, and $C=\{0,4\}$. What would be the Cartesian product of these $3$ sets for $A\times B\times ...

Today we learned about Pythagoras' theorem. Sadly, I can't understand the logic behind it. $A^{2} + B^{2} = C^{2}$ $C^{2} = (5 \text{ cm})^2 + (...

While trying some problems along with my friends we had difficulty in this question. True or False: The value of the infinite product $$\prod\limits_{n=2}...

I would like to know if my understanding about quaternions is correct please: lets say you have a vector in 3d space. You could rotate the x,y and-z frame...

I used the following matlab code to solve a system of algebraic equations, but I got no answer. clear; clc; close all; syms x y z u eqns = [2x + 1 == 2ux,...