How dogs can walk on ice without freezing their paws
Scientists in Japan have solved a long-standing veterinary mystery: how dogs can stand and walk for so long on snow and ice without apparent discomfort, and without freezing their paws.
Scientists in Japan have solved a long-standing veterinary mystery: how dogs can stand and walk for so long on snow and ice without apparent discomfort, and without freezing their paws.
When an automobile's engine is improperly lubricated, it can be a major hit to the pocketbook and the environment.
Nanomaterials
Jan 25, 2016
2
1421
A collaborative research team lead by the University of Massachusetts Amherst has recently revealed that rotifers, a kind of microscopic zooplankton common in both fresh and ocean water around the world, are able to chew ...
Environment
Nov 9, 2023
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325
(Phys.org)—Although scientists know that when silicon mixes with water, hydrogen is produced through oxidation, no one expected how quickly silicon nanoparticles might perform this task. As a new study has revealed, 10-nm ...
Researchers from the University of Kent, the Research Institute for Environment Treatment and Vita-Market Ltd have discovered the universal mathematical formula that can describe any bird's egg existing in nature, a feat ...
Mathematics
Aug 27, 2021
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3078
Humans are a tropical species. We have lived in warm climates for most of our evolutionary history, which might explain why so many of us spend winter huddled under a blanket, clutching a hot water bottle and dreaming of ...
Evolution
Jan 16, 2023
1
349
A team of scientists has discovered that a law controlling the bizarre behavior of black holes out in space—is also true for cold helium atoms that can be studied in laboratories.
Quantum Physics
Mar 21, 2017
23
3179
Scientists from the U.S. Geological Survey (USGS) have been monitoring groundwater quality in wells across the country for more than three decades, looking for harmful chemicals or residual substances that may cause harm ...
Earth Sciences
Oct 17, 2023
0
407
In eastern Belgium, an abandoned highway is almost completely buried under kilometres of piled-up rubbish: crushed refrigerators, splintered furniture, torn curtains, twisted metal, stuffed toys, defunct electronics and shards ...
Environment
Sep 3, 2021
0
194
A pilot research project into vibration energy on the N34 provincial motorway near Hardenberg in the eastern Netherlands has shown that vibration energy as a local energy source is a sustainable alternative for the batteries ...
Energy & Green Tech
Mar 1, 2012
0
2
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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