The other day I was thinking about the Klein-Gordon equation, otherwise known as the Klein–Fock–Gordon equation. I had to use it for something, and afterwards I found myself thinking of its derivation. So, ...

In passing I came across this expression the other day,
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To put it in words, we have a composite function: the sin of the sin of the sin(x).
I like this expression quite a lot and for a few reason...

Since the time of at least ancient Greece, human beings have tried to understand the fundamental constituents of all matter in the universe. Indeed, the idea that matter is comprised of discrete units dates bac...

There's a wonderful video (see above) that has been circulating of Au nanoparticles merging under an electron transmission microscope (TEM). It's not a new sight - TEM, scanning tunneling electron microscopes...

I recently wrote a short piece on the general case of the Leibniz Rule. In that article I alluded to how there is also a special case of the rule, in which the limits of integration are constants as opposed t...

Evaluating integrals has over time become one of my favourite activities. Whether it is by parts or by substitution or by partial fractions or reduction - there are many cool integrals to be found in the wo...

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