#### Tracking criminal movement using math: Will the next strike be near or far away?

One way to study criminal behavior and predict a criminal's next move is by analyzing his or her movement. Several mathematical models have addressed this in detail, in particular, the UCLA "burglary hotspot" ...

#### Using math models to make predictions: How vegetation competes for rainfall in dry regions

The greater the plant density in a given area, the greater the amount of rainwater that seeps into the ground. This is due to a higher presence of dense roots and organic matter in the soil. Since water is ...

#### A mathematical framework for understanding cities: Part social reactor, part network

Cities have long been likened to organisms, ant colonies, and river networks. But these and other analogies fail to capture the essence of how cities really function.

#### Secret of efficient photosynthesis: Purple bacteria's light-harvesting prowess lies in highly symmetrical molecules

Purple bacteria are among Earth's oldest organisms, and among its most efficient in turning sunlight into usable chemical energy. Now, a key to their light-harvesting prowess has been explained through a detailed structural ...

#### Study shows that people organize daily travel efficiently

(Phys.org) —Studies of human mobility usually focus on either the small scale—determining the origins, destinations and travel modes of individuals' daily commutes—or the very large scale, such as using ...

#### Researchers use volcanic islands to measure how rainfall sets the pace of landscape formation

If you've ever stood on a hill during a rainstorm, you've probably witnessed landscape evolution, at least on a small scale: rivulets of water streaming down a slope, cutting deeper trenches in the earth ...

#### High-speed cameras reveal the complex physics at work as air meets water and glass

When a bubble of air rising through water hits a sheet of glass, it doesn't simply stop—it squishes, rebounds, and rises again, before slowly moving to the barrier. This seemingly simple process actually ...

#### Fractal plumage indicates bird fitness

The complexity of the fractal geometry of a bird's plumage reveals its level of fitness, according to a new study published in *Proceedings of the Royal Society B* today.

#### A mathematical formula to decipher the geometry of surfaces like that of cauliflower

Scientists at the Universidad Carlos III of Madrid (UC3M) have taken part in a research project that describes, for the first time, that laws that govern the development of certain complex natural patterns, ...

#### Formula unlocks secrets of cauliflower's geometry

The laws that govern how intricate surface patterns, such as those found in the cauliflower, develop over time have been described, for the first time, by a group of European researchers.

#### Traditional courtyards: An example of eco-efficiency for architects

Researchers from the University of Seville (Spain) have used mathematical tools to assess what has been known for centuries: the temperature inside the typical Mediterranean courtyard is cooler than that ...

#### Noise reduction necessary for more accurate study of Earth's plate movements

(Phys.org)—The mystery of erratic changes in the history of Earth's past and current plate motions has been cracked by academics from The Australian National University.

#### Predicting burglary patterns through math modeling of crime

Pattern formation in physical, biological, and sociological systems has been studied for many years. Despite the fact that these subject areas are completely diverse, the mathematics that describes underlying patterns in ...

#### Hacking code of leaf vein architecture solves mysteries, allows predictions of past climate

(Phys.org) -- UCLA life scientists have discovered new laws that determine the construction of leaf vein systems as leaves grow and evolve. These easy-to-apply mathematical rules can now be used to better ...