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Convolutional neural networks (CNNs) obtain promising results via layered kernel convolution and pooling operations,yet ......
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THE ∂∂^(-)-BOCHNER FORMULAS FOR HOLOMORPHIC MAPPINGS BETWEEN HERMITIAN MANIFOLDS AND THEIR APPLICATI
In this paper,we derive some∂∂--Bochner formulas for holomorphic maps between Hermitian manifolds.As applications,we p......
Let S■C~n be a compact connected 2-codimensional submanifold.If n≥3,essentially local conditions and the assumption:ev......
In the present note that grew out of my talk given at the conference in honor of Prof. Zhong Tongde,I give a survey of s......
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The Inertial Manifolds of Infinite-dimensional Dynamical Systems Governed by a Class of Nonlinear Pa
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In this paper, we study geodesic contact CR-lightlike submanifolds and geodesic screen CR-lightlike (SCR) submanifolds o......
We study totally umbilical screen transversal lightlike submanifolds immersed in a semi-Riemannian product manifold and ......
研究黎曼流形上布朗运动的常返和非常返状态(二者统称常适性),证明了在具非负Ricci曲率的完备黎曼流形上互斥律成立,得到布朗运动......
The equations of mathematical physics, which describe some actual processes, are defined on manifolds (tangent, a compan......
The analysis of integrability of the Euler and Navier-Stokes equations shows that these equations have the solutions of ......
Using our proof of the Poincare conjecture in dimension three and the method of mathematical induction a short and trans......
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We consider the block matrices and 3-dimensional graph manifolds associated with a special type of tree graphs. We demon......
Algorithm for Fast Calculation of Hirzebruch-Jung Continued Fraction Expansions to Coding of Graph M
We present a new algorithm for the fast expansion of rational numbers into continued fractions. This algorithm permits t......
Semi-Supervised Dimensionality Reduction of Hyperspectral Image Based on Sparse Multi-Manifold Learn
In this paper, we proposed a new semi-supervised multi-manifold learning method, called semi- supervised sparse multi-ma......
In this paper, we prove the existence of inertial manifolds for 2D generalized MHD system under the spectral gap conditi......
With regard to the human exploration of Mars, low energy transfer trajectory is designed for Mars exploration based on t......
In this article, we wish to expand on some of the results obtained from the first article entitled Projection Theory. We......
In this article, we start by a review of the circle group? [1] and its topology induced [1] by the quotient metric, whic......
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讨论了两个控制站的分散非线性系统，给出了这种系统通过静态反馈可精确线性化的充分必要条件。......
Nonlinear Galerkin methods are new schemes for integrating dissipative systems:In the present paper, we obtain the estim......
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We consider the Schrodinger operators on graphs with a finite or countable number of edges and Schr?dinger operators on ......
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In this article,we give a survey of some progress of the complex geometry,mostly related to the Lie group actions on com......
1 Introduction and Main Results In the study of hyperbolic metrics on 3-dimensional manifolds,Thurston(see[9],Chapter 13......
In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitia......
Scattering theory plays the main role in the study of manifolds and the Laplacian spectrum. In this article, we process ......
A Walker n-manifold is a semi-Riemannian n-manifold, which admits a field of parallel null r-planes, with r ≤ 2/n . It ......
In this paper, we consider Osserman conditions on lightlike warped product (sub-)manifolds with respect to the Jacobi Op......
