Medical research

Developing next-generation soft hearing implants

Close to a half-million people around the world suffer from serious hearing impairments. In some cases, they cochlear and other types of implants have good results. Yet these devices do not help people whose inner ear is ...

Overweight & Obesity

Fighting obesity—could it be as plain as dirt?

It costs the global economy an estimated US$2 trillion annually and has been dubbed a modern day health epidemic, but new research from the University of South Australia has unearthed a possible cure for obesity—and it ...

Neuroscience

Scientists uncover new details in how sense of smell develops

Dogs, known for their extraordinarily keen senses of smell, can be trained to use their sensitive sniffers to find drugs, bombs, bed bugs, missing hikers and even cancer. Among dogs and other animals that rely on smell, at ...

Diseases, Conditions, Syndromes

Purdue startup developing device that detects mosquito-borne diseases

A startup created by Purdue University professors is developing a sensor that can detect dangerous mosquito-borne tropical diseases faster and at a lower cost than current methods, giving health officials time to take action ...

Health

Older adults' lungs remain strong during exercise

Highly active older adults experience no limitations in the lungs' capacity to exchange gases (lung-diffusing capacity) during physical activity, researchers have found. The study is published in the Journal of Applied Physiology.

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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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