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Перевод: dimensionality
размерность
Тезаурус:
- To observe 3-D fluctuation conductivity, large concentrations of impurities or defects have to be induced, and these are usually accompanied by granularity or reduced dimensionality.
- On the other hand, the coastline's area is zero, so neither a one-dimensional nor a two-dimensional picture is appropriate, and in fact the way in which the length increases with resolution suggests a dimension D of about 1.2 The mathematics of sets of points with fractional dimensionality was developed in the early years of this century, but associated geometric objects were considered as "pathological" and not corresponding to anything in Nature, Mandelbrot's massive and single-minded achievement has been to convert this abstract formalism into a flourishing branch of applied mathematics, in three ways.
- Paraconductivity has been reported for many different compounds in various forms, but no consensus about the dimensionality in these materials has been reached.
- Confirmation of the three dimensionality of localised space can be found in electromotion.
- Tamayo said he would, but only if Remba could invent a process that would allow them to have a relief-like dimensionality.
- Benoit Mandelbrot's central idea presented here in a revised and expanded version of an essay first published in English five years ago, is that many of Nature's forms have irregularities so extreme that they are best described not by the one-dimensional curves and two-dimensional surfaces of conventional geometry but as intermediate shapes (" fractals") whose dimensionality need not be a whole number.
- As first derived by Aslamazov and Larkin (AL), the excess conductivity is given by where D is the dimensionality of the specimen and t is the reduced temperature defined by .
- Soon we find ourselves immersed in geodesics, hyperspheres, dimensionality, curvature and ideas of general relativity.
- The coherence volume of the superconducting order parameter grows as the temperature approaches T c unless limited by reduced dimensionality.
- The paraconductivity data for K 3 C 60 and Rb 3 C 60 can be well accounted for by assuming an effective dimensionality D=3.
- The resulting "smears" may be portrayed as ellipses, or a graphic artist may draw them as smooth half-tone ellipsoids, giving a sense of three dimensionality.
- Although the move to representative democracy may reduce the dimensionality, there may remain more than one dimension (e.g., "Liberal-non-liberal" as well as "left-right").
- Paraconductivity effects are strongly dependent on the dimensionality of the system, although for conventional superconductors, three-dimensional fluctuation conductivity has to our knowledge never been observed.
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