Results 281 to 290 of about 2,304,071 (294)

Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Annals of Mathematics, 2020
We prove that for $n\in \{4,5\}$, a closed aspherical $n$-manifold does not admit a Riemannian metric with positive scalar curvature. Additionally, we show that for $n\leq 7$, the connected sum of a $n$-torus with an arbitrary manifold does not admit a ...
Otis Chodosh, Chao Li
semanticscholar   +1 more source

Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

Communications in Computational Physics, 2019
Conservation laws are considered to be fundamental laws of nature. It has broad application in many fields including physics, chemistry, biology, geology, and engineering.
Yufei Wang, Ziju Shen, Zichao Long, Bin Dong   +3 more
semanticscholar   +1 more source

Mathematics of vectorial Gaussian beams

Advances in Optics and Photonics, 2019
Since the development of laser light sources in the early 1960s, laser beams are everywhere. Laser beams are central in many industrial applications and are essential in ample scientific research fields.
U. Levy, Y. Silberberg, N. Davidson
semanticscholar   +1 more source

On Ricci Curvature of Certain Submanifolds in a Cosymplectic Space Form

Sarajevo Journal of Mathematics
In this paper, we obtain some sharp inequalities between the Ricci curvature and the squared mean curvature for slant, bi-slant and semi-slant submanifolds in cosymplectic space forms.
Ximin Liu, Jian-ping Zhou
semanticscholar   +1 more source

Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas - Revised and Expanded Edition

, 2018
D. Bernstein
semanticscholar   +1 more source

Convergence From Power-Law to Logarithm-Law in Nonlinear Scalar Field Equations

Archive for Rational Mechanics and Analysis, 2018
Zhi-Qiang Wang, Chengxiang Zhang
semanticscholar   +1 more source

Gaussian Processes

International Encyclopedia of Statistical Science, 2020
Neil D. Lawrence
semanticscholar   +1 more source

On the monotonicity of the CABARET scheme approximating a scalar conservation law with a convex flux

Doklady. Mathematics, 2016
N. A. Zyuzina, V. Ostapenko
semanticscholar   +1 more source

First order strong approximations of scalar SDEs defined in a domain

Numerische Mathematik, 2014
A. Neuenkirch, Lukasz Szpruch
semanticscholar   +1 more source

Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition

Frontiers in applied mathematics, 2000
A. Griewank, A. Walther
semanticscholar   +1 more source