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Density Functional Theory Modeling, Mathematical Analysis, Computational Methods, and Applications
Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum...
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Critical Density for Network Reconstruction
The structure of many financial networks is protected by privacy and has to be inferred from aggregate observables. Here we consider one of the most...
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The Chebotarev Density Theorem
The major connection between the theory of finite fields and the arithmetic of number fields and function fields is the Chebotarev density theorem....
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On Connecting Density Functional Approximations to Theory
Usually, density functional models are considered approximations to density functional theory, However, there is no systematic connection between the...
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Flow, Speed, and Density and Their Relationships
Flow, speed, and density are the three primary characteristics of traffic and are used to describe various aspects of operations of a highway...
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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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Universal Functionals in Density Functional Theory
In this chapter we first review the Levy–Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible...
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Bulk Features of the Quark Gluon Plasma at Finite Density
Pressure, energy density, entropy density and baryon number are the basic bulk features of quark gluon plasma (QGP), the deconfined phase of Quantum...
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Density Systems: Analysis and Control
AbstractThis paper considers a class of systems called density systems. For such systems, the derivative of a quadratic function depends on some...
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Algebraic overshear density property
We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion...
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Flow–Density Relations
The particle flow is locally satisfied by the property of the hydrodynamic relation.
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Distribution-Independent Density Relations
Much of the following will deal with investigating the average sizes of the polytopes appearing in a stationary random hyperplane tessellation. Here...
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Vibrational Density of States of Heterogeneous Materials
An important property of solids is their vibrational density of states. Consider a...
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Density deconvolution with associated stationary data
We study the density deconvolution problem when the random variables of interest are an associated strictly stationary sequence and the random noises...
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Hypergraphs with minimum positive uniform Turán density
Reiher, Rödl and Schacht showed that the uniform Turán density of every 3-uniform hypergraph is either 0 or at least 1/27, and asked whether there...
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The Strong-Interaction Limit of Density Functional Theory
This is a comprehensive review of the strong-interaction limit of density functional theory. It covers the derivation of the limiting strictly...
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Weighted Probability Density Estimator with Updated Bandwidths
In this paper, the authors study a class of weighted version of probability density estimator. It is shown that the weighted estimator contains some...
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Density Conditions for Coherent State Subsystems of Nilpotent Lie Groups
The aim of this note is to present recent work on density conditions for spanning properties of coherent state subsystems for nilpotent Lie groups...
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Lower Density Type Operators with Borel Values
We prove that the lower density operator associated with intensity points on the real line has Borel values. We also prove that the simple density...
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Strong one-sided density without uniform density
In this paper we give an example of a closed, strongly one-sided dense set which is not of uniform density type. We also show that there is a set of...
