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The second HK theorem defines an energy functional for the system and proves that the ground-state electron density minimizes this energy functional. In work that later won them the Nobel prize in chemistry , the HK theorem was further developed by Walter Kohn and Lu Jeu Sham to produce Kohn–Sham DFT (KS DFT).
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.
The scientific model concerned with the origin of the first organisms from organic or inorganic molecules is known as abiogenesis, and the prevailing theory for explaining the early development of the universe is the Big Bang model.
Aristotle's scientific explanation in Physics resembles the DN model, an idealized form of scientific explanation. [7] The framework of Aristotelian physics—Aristotelian metaphysics—reflected the perspective of this principally biologist, who, amid living entities' undeniable purposiveness, formalized vitalism and teleology, an intrinsic morality in nature. [8]
TRACE is a connectionist model of speech perception, proposed by James McClelland and Jeffrey Elman in 1986. [1] It is based on a structure called "the TRACE", a dynamic processing structure made up of a network of units, which performs as the system's working memory as well as the perceptual processing mechanism. [2]
Practice theory (or praxeology, theory of social practices) is a body of social theory within anthropology and sociology that explains society and culture as the result of structure and individual agency. Practice theory emerged in the late 20th century and was first outlined in the work of the French sociologist Pierre Bourdieu.
Theoretical psychology originated from the philosophy of science, with logic and rationality at the base of each new idea. It existed before empirical or experimental psychology. Theoretical psychology is an interdisciplinary field involving psychologists specializing in a wide variety of psychological branches.
The model of hierarchical complexity (MHC) is a formal theory and a mathematical psychology framework for scoring how complex a behavior is. [4] Developed by Michael Lamport Commons and colleagues, [3] it quantifies the order of hierarchical complexity of a task based on mathematical principles of how the information is organized, [5] in terms of information science.