A quick one containing the derivation of the Rossby modes of a 2d fluid on the surface of a sphere.
Latest blog posts
Going back to this famous paradox, I talk about the concepts of motion, contradiction and dialetheism
Reacting to the actuality of the coronavirus pandemic that we are currently living through, I present some simplified mathematical models used in epidemiology.
I work out some of the properties of the Gaussian function from its generating differential equation including its first integral.
A small explanation of the exponential function and its relation to the idea of perpetual growth.
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.
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.
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.