### A mathematical theory proposed by Alan Turing in 1952 can explain the formation of fingers

Alan Turing, the British mathematician (1912-1954), is famous for a number of breakthroughs, which altered the course of the 20th century. In 1936 he published a paper, which laid the foundation of computer science, providing ...

### Quantum or not? Mathematical equations resolve nanostructures behavior

Understanding the transport of electrons in nanostructures and biological molecules is crucial to understanding properties such as electrical conductivity or the biochemical behavior of molecules. However, determining whether ...

### Unraveling the Matrix

A new way of analyzing grids of numbers known as matrices could improve signal-processing applications and data-compression schemes.

### Mathematics: First-ever image of a flat torus in 3D

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, a French team ...

### A new technique identifies versions of the same song

A team of researchers from Pompeu Fabra University (UPF, Spain) has developed a system to identify common patterns in versions of songs, which will help to quantify the similarity of musical pieces. The technique, which appears ...

### Strange physics turns off laser

Inspired by anomalies that arise in certain mathematical equations, researchers have demonstrated a laser system that paradoxically turns off when more power is added rather than becoming continuously brighter.

### What is behind Einstein's turbulences? Calculations give initial insight into relativistic properties of this process

(Phys.org) —The American Nobel Prize Laureate for Physics Richard Feynman once described turbulence as "the most important unsolved problem of classical physics", because a description of the phenomenon from first principles ...

### Study shows subway systems develop in remarkably similar ways

(Phys.org) -- Visitors to major cities in the world might disagree, but a small group of French and British researchers has found that regardless of city density, structure and other factors, subway systems running in the ...

### Mathematicians show how shallow water may help explain tsunami power

(Phys.org)—While wave watching is a favorite pastime of beachgoers, few notice what is happening in the shallowest water. A closer look by two University of Colorado Boulder applied mathematicians has led to the discovery ...