geometrization


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geometrization

(dʒɪˌɒmətraɪˈzeɪʃən) or

geometrisation

n
(Mathematics) the application of geometrical concepts to a different field
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References in periodicals archive ?
SPATIAL DEFINITION, GEOMETRIZATION AND CATEGORIZATION OF TECTONIC DISTURBANCES ENDANGERING THE SAFETY OF WORK DURING SURFACE MINING OF LIGNITE
Therefore, the main purpose of this work was to show new opportunities that are provided by geometrization of informational flows in the "student-informational teaching environment" system on an interdisciplinary basis.
In modern terminology, an ODE or a PDE is identified with an exterior differential system in an appropriate jet bundle and this approach leads to geometrization of differential equations.
Thalmaier, "Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation," Comptes Rendus Mathematique.
program at the Mathematical Institute of the Romanian Academy in Iasi and, in 1957, obtained his PhD in Mathematics and Physics, defending the thesis The geometrization of the nonholonomic mechanical systems", written under the direction of Academician Mendel Haimovici.
Reporting the results of a seven-year German research program, mathematicians look at current work in representation theory with a special emphasis on categorification and geometrization. Among their topics are spherical varieties and perspectives in representation theory, on toric degenerations of flag varieties, derived categories of quasi-hereditary algebras and their derived composition series, bounded and semi-bounded representations of infinite dimensional Lie groups, and geometric invariant theory for principal three-dimensional subgroups acting on flag varieties.
The beginnings of an autonomous landscape painting tradition, it is argued, was not based on a new way of looking, but on a geometrization of space that was the product of new methods of surveying, measuring and map-making that were linked to the scientific discoveries about the nature of the universe and the concept of infinity.
Teleparallel Space-Time with Defects yields Geometrization of Electrodynamics with quantized Charges.
Sophie Taeuber-Arp also experimented with the circle in her most abstract works; however, the paintings she showed at the Cercle et carre exhibition were emblematic of her work of the late 1920s, in which a radical geometrization of form and the two-dimensional pictorial plane do not completely hide lingering figurative reminiscences, especially in her series of Personnages.
The Nielsen conjecture has been proven for homeomorphisms of manifolds of dimension greater than or equal to 5 [17], and for a large class of 3-manifolds including (after Thurston's geometrization theorem) all irreducible 3-manifolds [16].
Historically, it is well known that, during the second decade of the past century, Einstein has solved some of the problems of gravity theory by introducing a new philosophy: "the geometrization philosophy." He has constructed a successful theory for gravity, the general relativity (GR).
Furthermore, Kawaguchi in a series of papers [59], emphasized the significance of such superpotentials starting from a Hertzian analysis of the Lienard-Wiechert potentials in the effort of discovering an underlying geometrization of Maxwellian electrodynamics.