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The Explicit Density Functional and Its Connection with Entropy Maximization

Journal of Statistical Physics, 2000
Density functional theory for inhomogeneous fluids is based on the minimization of a functional like the free energy of the density distribution. Conventionally this functional is given only as an implicit function or by approximation. In this paper the author derives an explicit representation of the intrinsic free energy as a formal cluster diagram ...
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Connection between Hybrid Functionals and Importance of the Local Density Approximation

The Journal of Physical Chemistry A, 2016
The exchange-correlation (XC) local density approximation (LDA) is the original density functional used to investigate the electronic structure of molecules and solids within the formulation of Kohn and Sham. The LDA is fundamental for the development of density-functional approximations.
Martín A, Mosquera   +3 more
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Integration, continuity and a connection with probability density functions

International Journal of Mathematical Education in Science and Technology, 2006
This note considers functions of two variables which are continuous on a possibly unbounded closed region in |R2, and the functions of one variable obtained by integrating out the other variable over this region. The question of continuity of these functions is investigated, as are connections with joint density and marginal density functions.
openaire   +1 more source

In vivo synaptic density loss correlates with impaired functional and related structural connectivity in Alzheimer’s disease

Journal of Cerebral Blood Flow and Metabolism, 2023
Junfang Zhang, Xiaomeng Xu, Qi Huang
exaly  

Abnormal dynamic functional connectivity density in patients with generalized anxiety disorder

Journal of Affective Disorders, 2020
Yajing Pang, Wei Sheng, Qin Tang
exaly  

Computational predictions of energy materials using density functional theory

Nature Reviews Materials, 2016
Anubhav Jain   +2 more
exaly  

Functional Imaging of Cancer with Emphasis on Molecular Techniques

Ca-A Cancer Journal for Clinicians, 2007
Mohamed Houseni, Abass Alavi
exaly  

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