News tagged with surface area

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Capturing false hormones

They damage our ability to reproduce, and they pollute the natural environment. Yet chemicals known as hormone mimics can be found in consumer goods. Eventually they end up in our water. But we now have a way of capturing ...

Aug 15, 2014
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Food scientists strive for sodium reduction

In the May issue of Food Technology magazine published by the Institute of Food Technologists (IFT), Associate Editor Karen Nachay writes about how food manufacturers are trying to overcome formulation challenges to dev ...

May 14, 2013
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How the brain folds to fit

During fetal development of the mammalian brain, the cerebral cortex undergoes a marked expansion in surface area in some species, which is accommodated by folding of the tissue in species with most expanded ...

Apr 26, 2013
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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.

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