Results 231 to 240 of about 158,038 (267)
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley +1 more source
Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Simulating Molecular Single Vibronic Level Fluorescence Spectra with Ab Initio Hagedorn Wavepacket Dynamics. [PDF]
Zhang ZT, Vaníček JJL.
europepmc +1 more source
The log Grothendieck ring of varieties
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies. [PDF]
Cichocki A +3 more
europepmc +1 more source
On higher Jacobians, Laplace equations, and Lefschetz properties
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source
Algebraic method for multisensor data fusion. [PDF]
Chen X, Chen C, Lu X.
europepmc +1 more source
The random graph process is globally synchronizing
Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain +2 more
wiley +1 more source

