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## Collapse that wave function!

In quantum mechanics, we cannot speak of the exact location of a particle, but rather, we talk about the probability of a particle being in a certain region of space. Mathematically, we describe this using a probability density function, known as the wave function,...

## Why won’t my sequence of functions converge?

Firstly, let’s consider what it means to have a sequence of functions by looking closely at     All this is saying is that our sequence is going of to infinity. But this is just boring though, what we want to know is what happens when I go to infinity?...

## Contradicting our way to infinite primes and an irrational e

Some things are just too hard to prove directly, so in this case, we may need to take a more indirect route. One way in which to do this is a proof by contradiction, whereby we assume something, then do some logical deductions which (hopefully) produce some sort of...

## Curl and divergence of a vector field

The Curl of a vector field is defined to be     The curl is a measure of the vorticity, or “swirliness”, of the vector field. So imagine that describes some fluid and has the vector field plotted below. Now this field shows that the fluid is...