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Unity-resolving states and generalised Golden-Thompson bounds on partition functions
Journal of Physics A: Mathematical and General, 1980It is shown that certain sets of normalised unity-resolving (e.g. coherent) states in Hilbert space serve to generate upper bounds on the partition function of a given Hamiltonian in that space. These bounds may be viewed as generalisations of bounds derived previously by Golden, Thompson, Hepp and Lieb (see Phys. Rev. A, vol.8, p.2517, 1973).
Stolze, Joachim +2 more
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Fault-Tolerant Partition Resolvability in Chemical Graphs
Polycyclic Aromatic Compounds, 2022Kamran Azhar +3 more
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Sharp bounds of partition resolvability of convex polytopes
Journal of Combinatorial Mathematics and Combinatorial Computing<p>Graph theory serves as a central and dynamic framework for the design and analysis of networks. Convex polytopes, as fundamental geometric entities, encompass a rich variety of mathematical structures and problems. The basic theory of convex polytopes involves the study of faces, normal cones, duality—particularly polarity—along with ...
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Colour Class Domination equivalence partition and Colourful resolving sets in graphs
Punjab University Journal of MathematicsLet H = (V,E) be a simple graph. A subset S of V(H) is an equivalence set if the subgraph induced by S is component-wise complete. Let P = {V1,V2, , Vk} be a partition of V (H) where each Vi,1 ≤ i ≤ k is an equivalence set of H. The partition P is called a colourful domination equivalence partition if the set D = {u1,u2, , uk} where ui,1 ≤ i ≤ k are ...
J. Sivakumar +3 more
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Vertex-Edge Partition Resolvability for Certain Carbon Nanocones
Polycyclic Aromatic Compounds, 2023Sunny Kumar Sharma +2 more
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2 − Partition Resolvability of Induced Subgraphs of Certain Hydrocarbon Nanotubes
Polycyclic Aromatic Compounds, 2022Asim Nadeem +3 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Resolve 3D choroid plexus structure and partitioned bidirectional cerebrospinal fluid flow with MRI
ISMRM Annual MeetingMotivation: Previous studies have not identified the high-resolution in vivo 3D structure of the choroid plexus or linked its unique ventricular localization to CSF flow hydrodynamics. Goal(s): We developed novel ultra-high-resolution MRI with 30 μm isotropic resolution to measure region-specific CSF flow in the ventricles using phase-contrast MRI ...
Xiaoqing Zhou +3 more
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