Does it make sense to say that there are more irrational numbers than rational?

Proving this can be done as follows: consider a finite group G and elements $g_i \in G$ for some integer $i$. Now consider $\langle g_i \rangle = \{g_i^n:...

From the following theorem: Let $f$ be a continuous function which is positive on $[a,b]$. Then the corresponding area function has derivative i.e. $A...

To give some background to the question, I am preparing for an admissions test for a physics course at university (the PAT), and for this test we are not ...

For a project, I'm working on calculating solid angles using calculus, but when I test my formula for the solid angle of a regular tetrahedron, I end...

First post, I'll try to make it clear and concise. I've been spending the past few weeks watching all sorts of space and science documentaries a...

How do I prove this graph is nonplanar? It has 11 vertices and 25 edges, with a girth of 3.

Consider the equation $$ az^2+bz+c=0, $$ where $a,b$ and $c$ are complex numbers and $a\ne 0$. Applying usual operations on $\mathbb{C}$ we have the follo...

The problem: I want to calculate at which angle I have to shoot an arrow in order to hit a target which is x meters away. What I know: Force of the bow We...

I just recently started physics for fun and started with the basics but something is already bugging me. It is about the implementation of law of cosines ...