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 ninetieth floor. Nevertheless, sometimes you manage to get down in the depths and achieve a […]
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 and smooth transition. Among the different mathematical tools that can be used for face morphing […]
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 a measure of the probability that a certain event happening is true. So far, the convention […]
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, as the latter offer clear advantages to their users, like a more competitive cost and […]
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 and untended public spaces elicit antisocial behaviour. The idea is reminiscent of the concept of “criticality” […]
Economics • Mathematics • Medicine • Pharmacy
Blood from donations is separated into three components: red cells, platelets and plasma, and one component or another is then transfused into patients according to their needs. The conditions for storage differ for each component: red cell concentrates can be kept for up to 42 days at temperatures of 1-6ºC. Platelet concentrates (PC) are stored […]
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 account, your weight, your room’s temperature, … all of them evolve in time, and therefore […]
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 then the triangulation is lifted to obtain an -monotone polyhedral surface in 3D, called a 2.5D […]
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 by triangles we can see in our daily life. But, surprisingly enough, triangulations are not […]
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 to this rule. Such a powerful tool was well known since the times of Isaac […]