Electronics & Semiconductors
Researchers at Tohoku University have successfully increased the capacity, lifetime durability, and cost-effectiveness of a capacitor in their pursuit of a more power-efficient future. The research is published in the journal ...
Sep 4, 2024
0
36
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
