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The formal foundation of TDDFT is the Runge–Gross (RG) theorem (1984) [1] – the time-dependent analogue of the Hohenberg–Kohn (HK) theorem (1964). [2] The RG theorem shows that, for a given initial wavefunction, there is a unique mapping between the time-dependent external potential of a system and its time-dependent density.
Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases.
Healthcare systems are complex in that they are diverse in both structure (e.g. nursing units, pharmacies, emergency departments, operating rooms) and professional mix (e.g. nurses, physicians, pharmacists, administrators, therapists) and made up of multiple interconnected elements with adaptive tendencies in that they have the capacity to change and learn from experience.
In quantum mechanics, superdeterminism is a loophole in Bell's theorem.By postulating that all systems being measured are correlated with the choices of which measurements to make on them, the assumptions of the theorem are no longer fulfilled.
The HKU Li Ka Shing Faculty of Medicine [a] (branded as HKUMed) is the medical school of the University of Hong Kong (HKU), a public research university. It was founded in 1887 as the Hong Kong College of Medicine for Chinese, one of the oldest western medical schools in the Asia–Pacific region, and which served as the base for HKU's founding in 1910.
The Moore–Aronszajn theorem goes in the other direction; it states that every symmetric, positive definite kernel defines a unique reproducing kernel Hilbert space. The theorem first appeared in Aronszajn's Theory of Reproducing Kernels, although he attributes it to E. H. Moore. Theorem. Suppose K is a symmetric, positive definite kernel on a ...
In practice this means that on sufficiently short time scales (e.g. those of parts of seconds, minutes, or a few hours) the systems may behave as solids, i.e. with a positive shear modulus, but on extremely long scales, e.g. over millennia or eons, as liquids, or with two or more time scales and plateaux in between.
The Visible Human Project is an effort to create a detailed data set of cross-sectional photographs of the human body, in order to facilitate anatomy visualization applications. It is used as a tool for the progression of medical findings, in which these findings link anatomy to its audiences. [ 1 ]