搜索结果: 1-15 共查到“拓扑学 TOPOLOGY”相关记录54条 . 查询时间(0.093 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topology optimization via implicit neural representations
隐式 神经表示 拓扑优化
2023/4/24
Along with the rapid development of artificial intelligence (AI) technology, scientific research enters a new era of AI. Topology optimization (TO) and AI technology are recently showing a growing tre...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computations in equivariant algebraic topology
等变 代数拓扑 计算
2023/5/17
Modern algebraic topology sees equivariance arising in unexpected context. Equivariant cohomology carries rich structures but is much harder to compute. In 2009, Hill, Hopkins, and Ravenel solved the ...
Topology and entanglement are two powerful principles for characterizing the structure of complex quantum states. In a new paper in the journal Physical Review X, researchers from the University of Pe...
2018哈密顿动力学与辛拓扑最新进展研讨会（Recent Advances in Hamiltonian Dynamics and Symplectic Topology Workshop）
2018 哈密顿动力学与辛拓扑最新进展 研讨会
2017/12/20
The study of Hamiltonian dynamical systems plays a fundamental role in many different contexts, both in pure and applied mathematics. Indeed, most of the physical laws ruling our everyday lives --the ...
This is the seventh annual Tech Topology Conference. It brings together established and beginning researchers from around the country for a weekend of mathematics in Atlanta. Check back soon for more ...
2017年几何拓扑计算研讨会（2017 International Workshop on Computation in geometric topology）
2017年 几何拓扑计算 研讨会
2017/11/24
Computer experiments and calculations have had a profound influence on many areas covered by this Symposium. In 3-manifold theory the program SnapPea has been widely used to explore the landscape of 3...
An interesting example of a compact Hausdorff space that is often presented in beginning courses in topology is the unit square [0, 1]× [0, 1] with the lexicographic order topology. The closed subspac...
USING LATTICE TOPOLOGY INFORMATION TO INVESTIGATE PERSISTENT SCATTERERS AT FACADES IN URBAN AREAS
High resolution SAR Urban Pattern Data Fusion
2014/4/24
Modern spaceborne SAR sensors like TerraSAR-X offer ground resolution of up to one meter in range and azimuth direction. Buildings, roads, bridges, and other man-made structures appear in such data of...
Topology of probability measure spaces, II
Topology of probability measure spaces General Topology
2012/6/29
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors $\hat P$ and $P_\tau$ of spaces of probability $\tau$-smooth and Rado...
$Top(X)$ within $\px$ ]{When lattices meet topology: $Top(X)$ within $\px$.}
$Top(X)$ within $\px$ lattices meet topology
2012/2/29
For a non-empty set $X$, the collection $Top(X)$ of all topologies on $X$ sits inside the Boolean lattice $\PP(\PP(X))$ (when ordered by set-theoretic inclusion) which in turn can be naturally identif...
Nonstandard Analysis in Topology
nonstandard extension monad transfer principle saturation principle nonstandard hull compactifications realcompactification
2011/9/13
Abstract: We present Nonstandard Analysis by three axioms: the {\em Extension, Transfer and Saturation Principles} in the framework of the superstructure of a given infinite set. We also present sever...
Minimizing Average Interference through Topology Control
Wireless Sensor Networks Interference Minimization Topology Control Combinatorial Optimization
2012/12/4
Reducing interference is one of the main challenges in wireless communication. To minimize interference through topology control in wireless sensor networks is a well-known open algorithmic problem. I...
Self-intersections in combinatorial topology: statistical structure
closed curves surfaces self-intersection central limit theorem Markov chain
2011/1/17
Oriented closed curves on an orientable surface with boundary are described up to continuous deformation by reduced cyclic words in the generators of the fundamental group and their inverses.
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
The new $\nu$-metric induces the classical gap topology
-metric robust control Banach algebras.
2011/1/17
Let A+ denote the set of Laplace transforms of complex Borel measures μ on [0,+1) such that μ does not have a singular non-atomic part. In [1], an extension of the classical -metric of Vinnicombe was...