# Category Archives: Mathematics

## Down in the depths ‘on’ Carathéodory’s theorem

Research in general, and mathematical one in particular, sometimes reminds to the lyrics that Cole Porter wrote for the Down in the depths song:

And here am I

Facing tomorrow

Alone with my sorrow

Down in the depths on the […]

## Triangulations and face morphing

Face morphing has become quite popular in the last years; from mixing the faces of two celebrities to guessing how your baby could look, many TV shows and apps use software which changes one face into another through a continuous […]

## A starker p-value

In science, for a phenomenon to be reliable, it needs to be validated by a certain statistical value, the p-value, which by giving an estimate of the probability that the result would be the product of chance, serves as […]

## Negotiating Wi-Fi channels to improve bandwidth in surveillance networks

Security in residential and public areas is a matter of great importance for many people. This is why some Internet providers are offering surveillance systems as a value-added service. Such surveillance systems have recently shifted from CCTVs to IP-based cameras, […]

## Can we use mathematics to prevent crime?

There is a theory in criminology that says that if a broken window in a building is left unrepaired, that building will soon have all its other windows broken. The rationale behind it is that signs of urban disorder […]

## Optimising production and stock management for blood platelet concentrates

Author:

Mikel Lezaun is professor at the University of the Basque Country – UPV/EHU where he is director of the Mathematical Technology Transfer Group

Blood from donations is separated into three components: red cells, platelets and plasma, and one component […]

## The sound of chaos

What is chaos?

Chaos is a concept related to dynamical systems, that are nothing but systems than can be described by amounts that change in time. There are examples of dynamical systems everywhere: the amount of money in your bank […]

## Flip me to the moon

This post is dedicated to the memory of Professor Ferran Hurtado, inspirational friend and colleague.

Triangulations are extremely useful in computer graphics, with terrain modeling being an outstanding example: A mesh of points in 2D is triangulated and […]

## Triangulations are rigid. You can do better using pseudo-triangles

Triangles are, definitely, among the most used mathematical objects. One of the reasons is that they are simple (actually the smallest polygon). Another very important reason is that they are rigid, which is the property behind the many structures composed […]

## The math of sex and hunger. A short history of population dynamics

The field of population dynamics lies between mathematics and biology. Its subject of study is the evolution of biological populations with time. The natural language for dynamical problems is that of differential equations, and population dynamics is not an exception […]