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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.
The p-value is not the probability that the null hypothesis is true, or the probability that the alternative hypothesis is false; it is the probability of obtaining results at least as extreme as the results actually observed under the assumption that the null hypothesis was correct, which can indicate the incompatibility of results with the ...
Codd's theorem (relational model) Compression theorem (computational complexity theory, structural complexity theory) Cook's theorem (computational complexity theory) Fagin's theorem (computational complexity theory) Full employment theorem (theoretical computer science) Gap theorem (computational complexity theory) Gottesman–Knill theorem ...
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]
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 ...
OTTER (Organized Techniques for Theorem-proving and Effective Research [1]) is an automated theorem prover developed by William McCune at Argonne National Laboratory in Illinois. Otter was the first widely distributed, high-performance theorem prover for first-order logic , and it pioneered a number of important implementation techniques.
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.