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Cluster soft sets and cluster soft topologies
The cluster soft point is an attempt to introduce a novel generalization of the soft closure point and the soft limit point. A cluster soft set is...
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Cluster Scattering Diagrams and Theta Functions for Reciprocal Generalized Cluster Algebras
We give a construction of generalized cluster varieties and generalized cluster scattering diagrams for reciprocal generalized cluster algebras, the...
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Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations
The central problem in electronic structure theory is the computation of the eigenvalues of the electronic Hamiltonian—a semi-unbounded, self-adjoint...
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A Lagrangian filling for every cluster seed
We show that each cluster seed in the augmentation variety contains an embedded exact Lagrangian filling. This resolves the matter of surjectivity of...
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Expectations of the High Performance Computing Cluster File System Selection
AbstractWhen constructing a high-performance computing cluster, one of the most pressing issues is ensuring efficient organization of the external...
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The Asymmetric Cluster Affinity Cost
Tree comparison costs are sophisticated tools used to compare the results of different phylogenetic hypotheses and reconstruction methods and to...
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Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds
This book provides a systematic study of spectral and scattering theory for many-body Schrödinger operators at two-cluster thresholds. While the...
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On the Properties of Acyclic Sign-Skew-Symmetric Cluster Algebras
We study the tropical dualities and properties of exchange graphs for the totally sign-skew-symmetric cluster algebra under a condition. We prove...
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Software for Component-by-Component Benchmarking of a Computing Cluster Network
AbstractInformation about the delays between nodes of the computing cluster potentially can help to reduce the running time of a distributed...
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Two Phase Adaptive Cluster Sampling Under Transformed Population Approach
AbstractIn survey sampling, it might happen that information on the population mean of the auxiliary variable is not available, but it can be...
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Focusing of Compression Waves in a Pipe Containing Annular Bubble Cluster
AbstractThis paper presents a study of two-dimensional waves in a pipe with water containing an annular near-wall cluster of bubbles. The waves...
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Cluster synchronization of stochastic two-layer delayed neural networks via pinning impulsive control
This paper considers the cluster synchronization of stochastic two-layer delayed neural networks via pinning impulsive control. First, the cluster...
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Resolvent Asymptotics Near a Two-Cluster Threshold
This chapter is devoted to the asymptotics of the resolvent near an arbitrary two-cluster threshold...
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Multi-Cluster Coordinated Movement and Dynamic Reorganization
AbstractThis paper makes an attempt to apply the Hamilton formalism method to the numerical solutions of multi-cluster coordinated movement and...
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Approximation Algorithms for Graph Cluster Editing Problems with Cluster Size at Most 3 and 4
In clustering problems, one has to partition a given set of objects into pairwise disjoint subsets (clusters) taking into account only similarity of...
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Two Phase Adaptive Cluster Sampling under Transformed Population Approach
AbstractIn survey sampling, it might happen that information on the population mean of the auxiliary variable is not available, but it can be...
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Observer-Based Intra-Cluster Lag Consensus of Multi-Agent Systems via Intermittent Adaptive Pinning Control
The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different...