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Geometry index information


In coordination chemistry and crystallography, the geometry index or structural parameter (τ) is a number ranging from 0 to 1 that indicates what the geometry of the coordination center is. The first such parameter for 5-coordinate compounds was developed in 1984.[1] Later, parameters for 4-coordinate compounds were developed.[2]

  1. ^ Cite error: The named reference Addison was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference Houser was invoked but never defined (see the help page).

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Geometry index

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Geometry

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Differential geometry

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Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....

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Spin geometry

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spin geometry is the area of differential geometry and topology where objects like spin manifolds and Dirac operators, and the various associated index theorems...

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Spatial database

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ST_Distance(geometry, geometry) : number ST_Equals(geometry, geometry) : boolean ST_Disjoint(geometry, geometry) : boolean ST_Intersects(geometry, geometry) :...

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List of differential geometry topics

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This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...

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Shapefile

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format; the feature geometry itself {content-type: x-gis/x-shapefile} .shx — shape index format; a positional index of the feature geometry to allow seeking...

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Coordination complex

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coordinations for five-coordinated complexes, the τ geometry index was invented by Addison et al. This index depends on angles by the coordination center and...

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Journal of Geometry

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abstracted and indexed in EBSCO databases, Emerging Sources Citation Index, Scopus, and zbMATH Open. "Brief review of two new journals of geometry", Pi Mu Epsilon...

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Arakelov theory

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In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine...

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Geometrization conjecture

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non-compact. If it is compact, then the 2 geometries can be distinguished by whether or not π1(M) has a finite index subgroup that splits as a semidirect product...

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Conformal geometry

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conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is...

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United States of America Mathematical Olympiad

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Algebra Geometry Combinatorics 2011: Algebra Combinatorics Geometry Number theory Geometry Algebra 2010: Geometry Combinatorics Algebra Geometry Number...

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Winding number

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in vector calculus, complex analysis, geometric topology, differential geometry, and physics (such as in string theory). Suppose we are given a closed...

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Tensor

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concept enabled an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor. Although seemingly...

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Mathematics

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modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians...

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Michael Atiyah

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British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory...

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Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces...

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Complex geometry

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geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry...

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Database index

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no overlapping time ranges or no intersecting geometry objects would be stored in the table. An index supporting fast searching for records satisfying...

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Tensor calculus

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calculus: In our subject of differential geometry, where you talk about manifolds, one difficulty is that the geometry is described by coordinates, but the...

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Dewey Decimal Classification

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mathematics 510 Mathematics 516 Geometry 516.3 Analytic geometries 516.37 Metric differential geometries 516.375 Finsler geometry The classification was originally...

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