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]
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crystallography, the geometryindex or structural parameter (τ) is a number ranging from 0 to 1 that indicates what the geometry of the coordination center...
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land', and μέτρον (métron) 'a measure') is a branch of mathematics...
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....
spin geometry is the area of differential geometry and topology where objects like spin manifolds and Dirac operators, and the various associated index theorems...
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...
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...
coordinations for five-coordinated complexes, the τ geometryindex was invented by Addison et al. This index depends on angles by the coordination center and...
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...
In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine...
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...
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...
in vector calculus, complex analysis, geometric topology, differential geometry, and physics (such as in string theory). Suppose we are given a closed...
concept enabled an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor. Although seemingly...
modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians...
British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory...
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces...
geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry...
no overlapping time ranges or no intersecting geometry objects would be stored in the table. An index supporting fast searching for records satisfying...
calculus: In our subject of differential geometry, where you talk about manifolds, one difficulty is that the geometry is described by coordinates, but the...