Results 131 to 140 of about 2,825,153 (362)
The modulated harmonic wave in the discrete series‐connected Josephson transmission line (JTL) is considered and the equation describing the modulation amplitude is obtained. The equation turns out to be the defocusing nonlinear Schrödinger equation. The most interesting result following the calculations is the existence of the dark solitons in the JTL.
Eugene Kogan
wiley +1 more source
Topics in algebra, geometry and differential equations
The study of differential equations and the study of algebraic geometry are two disciplines within mathematics that seem to be mostly disjoint from each other. Looking deeper, however, one finds that connections do exist. This thesis gives in four chapters four examples of interesting mathematical insights that can be gained from combining the concepts
openaire +2 more sources
Abstract null geometry, energy-momentum map and applications to the constraint tensor [PDF]
We introduce and study the notion of null manifold. This is a smooth manifold ${\mathcal N}$ endowed with a degenerate metric $\gamma$ with one-dimensional radical at every point.
Marc Mars
semanticscholar +1 more source
Some aspects of noncommutative differential geometry [PDF]
We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we show its relations with quantum mechanics. Finally we formulate a general theory of connections in this
arxiv
Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer+13 more
wiley +1 more source
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
Stringy canonical forms are a class of integrals that provide α′-deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebras, there exist completely rigid stringy integrals, whose configuration spaces
Song He+3 more
doaj +1 more source
An introduction to d-manifolds and derived differential geometry
This is a survey of the author's book "D-manifolds and d-orbifolds: a theory of derived differential geometry", available at http://people.maths.ox.ac.uk/~joyce/dmanifolds.html We introduce a 2-category dMan of "d-manifolds", new geometric objects ...
Joyce, Dominic
core
The simple method of distinguishing the underlying differentiable structures of algebraic surfaces [PDF]
The simplest version of the Spin-polynomial invariants of the underlying differentiable structures of algebraic surfaces were considered and the simplest arguments were used in order to distinguish the underlying smooth structures of certain algebraic surfaces.
arxiv
X‐Ray Absorption Studies of Local Structure of Dilute Ionic Species in Molten Salts
This article reviews the state of the art in the use of X‐ray absorption spectroscopy methods, both experimental and theoretical, for understanding the structure of dopant metal ions in molten salts. Recent strategies, including molecular dynamics simulations and neural network–assisted analysis of X‐ ray absorption spectroscopy as well as chemometrics
Kaifeng Zheng+11 more
wiley +1 more source