### Adding uncertainty to improve mathematical models

Mathematicians from Brown University have introduced a new element of uncertainty into an equation used to describe the behavior of fluid flows. While being as certain as possible is generally the stock and trade of mathematics, ...

### 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 ...

### 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.

### The brain could be key to a better computer

Your brain is incredibly well-suited to handling whatever comes along, plus it's tough and operates on little energy. Those attributes—dealing with real-world situations, resiliency and energy efficiency—are precisely ...

### Hyperbolic homogeneous polynomials, oh my!

Cutting-edge mathematics today, at least to the uninitiated, often sounds as if it bears no relation to the arithmetic we all learned in grade school. What do topology and combinatorics and n-dimensional space have to do ...

### New multiscale model unifies physical laws of water flow to span all scales

(Phys.org) —Water moves through multifaceted physical boundaries. This poses a significant challenge for scientists who must simulate water flow across many domains. Scientists at Pacific Northwest National Laboratory (PNNL) ...

### Improving methods used to analyze and model fluid dynamics

Understanding how fluids flow and the forces that affect them at various scales and boundary conditions (e.g., flat or curved flow domain boundaries) is relevant to solving a host of physics problems that impact diverse research ...

### Why Einstein will never be wrong

One of the benefits of being an astrophysicist is your weekly email from someone who claims to have "proven Einstein wrong". These either contain no mathematical equations and use phrases such as "it is obvious that..", or ...

### Modeling metamaterials

EPFL scientists have developed an innovative mathematical method to greatly improve computer modeling of metamaterials.