Related topics: nanoparticles

Scientists find way to cut nanoparticle toxicity levels

Bioengineers and biophysicists from the National Research Nuclear University MEPhI, the Sechenov First Moscow State Medical University, the Universite de Reims Champagne-Ardenne in France, and the University of Tubingen in ...

Image: Lake Balaton in western Hungary from orbit

The Copernicus Sentinel-2 mission takes us over Lake Balaton in western Hungary. With a surface area of around 600 sq km and a length of around 78 km, this freshwater lake is the largest in central Europe.

Search for new semiconductors heats up with gallium oxide

University of Illinois electrical engineers have cleared another hurdle in high-power semiconductor fabrication by adding the field's hottest material—beta-gallium oxide—to their arsenal. Beta-gallium oxide is readily ...

Conceptual model explains how thunderstorm clouds bunch together

Understanding the weather and climate change is one of the most important challenges in science today. A new theoretical study from Associate Professor Jan Härter at the Niels Bohr Institute, University of Copenhagen, presents ...

Organic carbon hides in sediments, keeping oxygen in atmosphere

A new study from researchers at the Woods Hole Oceanographic Institution (WHOI) and Harvard University may help settle a long-standing question—how small amounts of organic carbon become locked away in rock and sediments, ...

page 1 from 23

Surface area

Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved then the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

General definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work led to the development of geometric measure theory which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

This text uses material from Wikipedia, licensed under CC BY-SA