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Rossby modes

A quick one containing the derivation of the Rossby modes of a 2d fluid on the surface of a sphere.

Another take at Zeno's paradox

Going back to this famous paradox, I talk about the concepts of motion, contradiction and dialetheism

How I use zettelkästen

A short account of the way I use neuron to keep notes using the zettelkästen method.

The SIR model of infectious diseases

Reacting to the actuality of the coronavirus pandemic that we are currently living through, I present some simplified mathematical models used in epidemiology.

Some bell curves

I work out some of the properties of the Gaussian function from its generating differential equation including its first integral.

What growth means

A small explanation of the exponential function and its relation to the idea of perpetual growth.

The mathematics of Zeno's paradox

Pursuing an idea from an older post, I look at one of the simplest statements of Zeno's paradox and derive known results about infinite series of real numbers.

The waffle conundrum

I solve a relatively simple problem of geometry inspired by a culinary example from everyday life and find that the final answer has no closed analytical form. This illustrates how unexpected difficulties can emerge even in simple problems.

Toy model of a bouncing ball and Zeno's paradox

Starting from the common experience of hearing an object bouncing off the ground, I build a simplified model to compute the amount of energy being lost by the object along its course. This leads me to ponder about the possibility that the object could experience an infinite amount of rebounds in a finite amount of time.

Dimensional analysis

I give a short description of dimensional analysis and how it can be used to check the mathematics of computations in physics and also how it can be used to simplify the equations by getting rid of constant parameters.