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Topology
In this chapter, we will briefly introduce the basic concepts and theorems of general topology necessary to understand the subject matter of this...
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Topology
Consider the graphs of the capital letters of the English alphabet in a plane. By stretching and twisting, one can deform U onto S and vice versa....
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Topology
The language of spectral theory may be algebra, but its environment is topological algebra. Topology on the one hand underlies geometry; for us it is...
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Geo-Topology Theory, Models and Applications
Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape...
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Point-Set Topology A Working Textbook
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid...
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Point-Set Topology A Working Textbook
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid...
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Effects of underlying topology on quantum state discrimination
In this work, we show that quantum state discrimination can be modified due to a change in the underlying topology of a system. In particular, we...
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Stripline Topology for Flux Mitigation
The increasing complexity of modern single flux quantum (SFQ) circuits has increased the importance of flux trap** and trapped magnetic fields...
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Uniform density topology
Main results of the paper are: the Lebesgue Density Theorem does not hold for the uniform density points and the uniform density topology is...
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Causal structure of spacetime and Scott topology
In this paper we establish the spacetime manifold as a partially ordered set via the casual structure. We show that these partially ordered sets are...
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Turbulent flow topology optimization in nuclear reactor pressure vessel via NURBS-based particle hydrodynamics (NBPH) topology optimization framework
In this article, we focus on a design problem of flow distribution structure in nuclear reactor pressure vessel within the meshless topology...
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Spacetime topology from holographic entanglement
An asymptotically AdS geometry connecting two or more boundaries is given by a entangled state, that can be expanded in the product basis of the...
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Dynamic topology optimization of flexible multibody systems
Flexible multibody system (FMBS) refers to a mechanical system, which consists of flexible components and kinematic pairs, and undergoes both overall...
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Multi-material topology optimization based on multiple simp of variable density method
There are many methods for solving the topology optimization problem of single-material. It is a great challenge how to utilize existing methods or...
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Topology Considerations
As mentioned in Chapter 5 , database servers are often combined into intricate topologies where certain nodes are...
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Non-Hermitian topology in a multi-terminal quantum Hall device
Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties for precision sensing...
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Topology-Hiding Communication from Minimal Assumptions
Topology-hiding broadcast (
THB ) enables parties communicating over an incomplete network to broadcast messages while hiding the topology from within...
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Fiber Bundle Topology Optimization for Surface Flows
This paper presents a topology optimization approach for the surface flows on variable design domains. Via this approach, the matching between the...
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Topology stabilized fluctuations in a magnetic nodal semimetal
The interplay between magnetism and electronic band topology enriches topological phases and has promising applications. However, the role of...
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Siliceous zeolite-derived topology of amorphous silica
The topology of amorphous materials can be affected by mechanical forces during compression or milling, which can induce material densification....
