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In the beginning - North Allegheny School District
In the beginning - North Allegheny School District

... In the real world cats can't be both living and dead. So what is it that forces them to choose? IN the quantum world, measurements are what make things happen. When a measurement is made, one definite answer emerges from of a range of possibilities. Without measurements, evidently, the whole Univer ...
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... in learning a symbolic mathematics language (such as Mathematica, Maple, or Sage). The class meets twice per week, Thursdays (1:30-2:45pm) and Fridays (10:00-11:15am). ...
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A simple and effective approach to calculate the energy of complex

< 1 ... 297 298 299 300 301 302 303 304 305 ... 511 >

Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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