Calculation of lattice sums of general type

In previous papers by Misra(1) and by Born and Misra(2) lattice sums of the type required in discussing the stability of a cubic crystal of the Bravais type in which the forces are central have been calculated. In the investigation of the thermodynamic properties of crystals a more general type of lattice sum occurs, which involves the phases of the waves. In the present paper a method of calculating these sums is developed and tables are computed.

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Empathic Embarrassment Responses While Viewing Romantic-Rejection and General-type Embarrassment Situations

PsycEXTRA Dataset ◽

10.1037/e644922007-001 ◽

2007 ◽

Author(s):

Giuliana L. Garbini ◽

Arlene Asuncion

Keyword(s):

General Type

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UNIVERSAL PRISMATIC FINITE ELEMENT OF GENERAL TYPE FOR PHYSI-CALLY AND GEOMETRICALLY NONLINEAR PROBLEMS OF DEFOR-MATION OF PRISMATIC BODIES

Building constructions. Theory and Practice ◽

10.32347/2522-4182.6.2020.72-84 ◽

2020 ◽

Vol 0 (6) ◽

pp. 72-84

Author(s):

Oleksandr Guliar ◽

Yurii Maksymiuk ◽

Andrii Kozak ◽

Oleksandr Maksymiuk

Keyword(s):

Finite Element ◽

General Type ◽

Nonlinear Problems ◽

Geometrically Nonlinear ◽

Prismatic Bodies ◽

Defor Mation

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Towards Asymmetric Uncertainty Modeling in Designing General Type-2 Fuzzy Classifiers for Medical Diagnosis

Expert Systems with Applications ◽

10.1016/j.eswa.2021.115370 ◽

2021 ◽

pp. 115370

Author(s):

Emanuel Ontiveros-Robles ◽

Oscar Castillo ◽

Patricia Melin

Keyword(s):

Medical Diagnosis ◽

General Type ◽

Uncertainty Modeling ◽

Fuzzy Classifiers

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Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

Asymptotic Analysis ◽

10.3233/asy-201669 ◽

2021 ◽

pp. 1-16

Author(s):

Alexander Dabrowski

Keyword(s):

General Type ◽

Differential Operators ◽

Laplacian Operator ◽

Variational Characterization ◽

Repeated Eigenvalues ◽

Direct Extension ◽

Asymptotic Formulae ◽

Elliptic Differential Operators ◽

Domain Perturbations ◽

Boundary Deformation

A variational characterization for the shift of eigenvalues caused by a general type of perturbation is derived for second order self-adjoint elliptic differential operators. This result allows the direct extension of asymptotic formulae from simple eigenvalues to repeated ones. Some examples of particular interest are presented theoretically and numerically for the Laplacian operator for the following domain perturbations: excision of a small hole, local change of conductivity, small boundary deformation.

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Automorphisms of threefolds of general type acting trivially in cohomology

Geometriae Dedicata ◽

10.1007/s10711-021-00619-w ◽

2021 ◽

Author(s):

Hang Zhao

Keyword(s):

General Type

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Variation of singular Kähler–Einstein metrics: Positive Kodaira dimension

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2021-0028 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Junyan Cao ◽

Henri Guenancia ◽

Mihai Păun

Keyword(s):

General Type ◽

Einstein Metrics ◽

Kodaira Dimension ◽

Einstein Metric ◽

Canonical Bundle ◽

Fiber Space ◽

Generic Fiber ◽

Lelong Numbers ◽

Kähler Einstein Metrics

Abstract Given a Kähler fiber space p : X → Y {p:X\to Y} whose generic fiber is of general type, we prove that the fiberwise singular Kähler–Einstein metric induces a semipositively curved metric on the relative canonical bundle K X / Y {K_{X/Y}} of p. We also propose a conjectural generalization of this result for relative twisted Kähler–Einstein metrics. Then we show that our conjecture holds true if the Lelong numbers of the twisting current are zero. Finally, we explain the relevance of our conjecture for the study of fiberwise Song–Tian metrics (which represent the analogue of KE metrics for fiber spaces whose generic fiber has positive but not necessarily maximal Kodaira dimension).

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