Distance formulae and zeros of the Riemann 𝜁-function

2009 ◽  
pp. 163-171
Author(s):  
Nikolai Nikolski
Keyword(s):  
Distance Formulae

Two Distance Formulae For The Two Vague Sets

2014 ◽  
Vol 12 (10) ◽  
Author(s):  
Zhang Kun ◽  
Wang Hong-xu ◽  
Wang Faifeng ◽  
Li Zhuang
Keyword(s):  
Vague Sets ◽  
Distance Formulae

scholarly journals Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn

2009 ◽  
Vol 7 (1) ◽  
pp. 91-104 ◽  
Author(s):  
Wen Xu
Keyword(s):  
Unit Ball ◽  
Besov Spaces ◽  
Bloch Space ◽  
Invariant Function ◽  
Function Spaces ◽  
Bloch Functions ◽  
Distance Formulae ◽  
Little Bloch Space

Distance formulae from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂnsuch asQsspaces, little Bloch spaceℬ0and Besov spacesBpare given.

scholarly journals On the distance formulae in the generalized taxicab geometry

2019 ◽  
Vol 43 (3) ◽  
pp. 1578-1594
Author(s):  
Harun Barış ÇOLAKOĞLU
Keyword(s):  
Distance Formulae ◽  
Taxicab Geometry

Reflexivity and Distance Formulae

1986 ◽  
Vol s3-53 (2) ◽  
pp. 340-356 ◽  
Author(s):  
Jon Kraus ◽  
David R. Larson
Keyword(s):  
Distance Formulae

scholarly journals Lattice row distance

2014 ◽  
Vol 70 (a1) ◽  
pp. C1454-C1454
Author(s):  
Hejing Wang ◽  
Ting Li ◽  
Ling Wang ◽  
Zhao Zhou ◽  
Lei Yuan
Keyword(s):  
Reciprocal Lattice ◽  
Early Time ◽  
Basic Feature ◽  
Lattice Points ◽  
Lattice Parameters ◽  
Parallel Lines ◽  
Basic Characteristics ◽  
Diffraction Patterns ◽  
Distance Formulae

Lattice and diffraction are two relating aspects of a crystal. The former reflects the nature of a crystal and the latter describes the basic feature of a crystal. A lattice possesses points and rows two basic characteristics. Great attention has been paid to the points and their distances and directions (angles) they form since the early time of crystallography. Starting from lattice points people have already revealed and found so many regulations in crystals and made great progresses in crystallography. What about the lattice rows? Starting from the geometric relations of reciprocal lattice, we propose six general formulae [1] to describe the relationships between the lattice row distance, the Miller indices h, k, l and the lattice parameters for all crystal systems along any direction. This, like the lattice points, establishes the foundation of the row-indexing, row-refinement of lattice parameters and row-determination of incidence direction theoretically. It is a new method from the lattice row distance to the Miller indices, to the lattice parameters or to the incidence direction. Five steps are optimized for the procedure of "Row-indexing" or "Row-refinement". For example, the procedure of row-indexing is described as 1) measurement of row distance; 2) calculation of row distance; 3) comparison of the measured with the calculated row distances; 4) indexing, and 5) check according to the crystallographic regulations. In respect to diffraction patterns, a series of diffraction spots (points) comprise row(s) and arrange into a series of parallel "lines". When diffraction is strong, diffraction spots are isolated and sharp. However, when diffraction is weak, those spots are obscure or gloomy and often distorted into elongation, asymmetry, deformation, etc. This leads to the outstanding of the rowing "lines" relatively and hence, the row-distance formulae are able to be utilized to structure analysis for those "linear diffraction patterns".

The Relationship Between Distance Formulae and Compact Perturbations for Reflexive Algebras

1990 ◽  
Vol 33 (4) ◽  
pp. 489-493 ◽  
Author(s):  
Kenneth R. Davidson
Keyword(s):  
Compact Perturbation ◽  
Nest Algebras ◽  
Completely Distributive ◽  
Compact Perturbations ◽  
Reflexive Algebras ◽  
Distance Formulae ◽  
The Relationship

AbstractFor completely distributive CSL algebras, hyper-reflexivity is equivalent to a description of the compact perturbation of the algebra analogous to the Fall-Arveson-Muhly Theorem for nest algebras.

DISTANCE FORMULAE IN COORDINATIZED OPERATOR ALGEBRAS

1992 ◽  
Vol 43 (1) ◽  
pp. 73-95
Author(s):  
PAUL S. MUHLY ◽  
BARUCH SOLEL
Keyword(s):  
Operator Algebras ◽  
Distance Formulae

Distance Formulae for Subspace Lattices

1989 ◽  
Vol s2-39 (2) ◽  
pp. 309-323 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Kenneth J. Harrison
Keyword(s):  
Distance Formulae ◽  
Subspace Lattices
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