The Thomas-Fermi model of 1927 used a kinetic energy functional for a noninteracting uniform electron gas in a first attempt of density-functional theory of electronic structure:

Later in the 1930s, Douglas Hartree, Vladimir Fock and John Slater developed the so-called Hartree-Fock wavefunction as an improvement over the Thomas-Fermi model.

This work was an early quantitative application to atomic spectroscopy of Fermi's statistical model of atomic structure ( now known as the Thomas-Fermi model, due to its contemporaneous description by Llewellyn Thomas ).

Using the results from either Maxwell-Boltzmann statistics, Bose-Einstein statistics or Fermi-Dirac statistics, and considering the limit of a very large box, the Thomas-Fermi approximation is used to express the degeneracy of the energy states as a differential, and summations over states as integrals.

In 1935 von Weizsäcker proposed to add a gradient correction to the Thomas-Fermi kinetic energy functional to make it suit better a molecular electron cloud:

Following the procedure described in the gas in a box article, we can apply the Thomas-Fermi approximation which assumes that the average energy is large compared to the energy difference between levels so that the above sum may be replaced by an integral:

Thomas-Fermi approximation and go to the limit of a very large trap, and express the degeneracy of the energy states () as a differential, and summations over states as integrals.

This corresponds to a critical temperature T < sub > c </ sub >= 1 / kβ < sub > c </ sub > below which the Thomas-Fermi approximation breaks down.

The problem here is that the Thomas-Fermi approximation has set the degeneracy of the ground state to zero, which is wrong.

The Thomas-Fermi approximation assumes that the quantum numbers are so large that they may be considered to be a continuum.

To guard against the tyranny of a numerical majority, Calhoun developed his theory of `` concurrent majority '', which, he said, `` by giving to each portion of the community which may be unequally affected by the action of government, a negative on the others, prevents all partial or local legislation ''.

Thus, theory and doctrine applicable among the great nations and the smaller European states did not really comfortably fit less developed and less powerful societies elsewhere.

-- The theory of elasticity of Gaussian networks has been developed on a more general basis and the equations of state relating variables of pressure, volume, temperature, stress and strain have been precisely formulated.

Modern physics has developed the theory that all matter consists of minute waves of energy.

It is borne out also by the absence of any developed theory about how sin passes from one generation to the next.

Alchemists developed a framework of theory, terminology, experimental process and basic laboratory techniques that are still recognizable today.

*: The article on Whorf states " Drawing on Nietzsche's ideas of perspectivism Alfred Korzybski developed the theory of general semantics which has been compared to Whorf's notions of linguistic relativity.

This theory was developed by the British chemist and physicist John Dalton in the 18th century.

He also developed, during the Great Depression, the populist economic theory of " Direct Credits ", according to which banks are the cause of all economic woe, the oppressors of both capital and labour.

He established the consistent use of the chemical balance, used oxygen to overthrow the phlogiston theory, and developed a new system of chemical nomenclature which held that oxygen was an essential constituent of all acids ( which later turned out to be erroneous ).

As a framework for his coherent duality theory he also introduced derived categories, which were further developed by Verdier.

This letter and successive parts were distributed from Bangor ( see External Links below ): in an informal manner, as a kind of diary, Grothendieck explained and developed his ideas on the relationship between algebraic homotopy theory and algebraic geometry and prospects for a noncommutative theory of stacks.

International Society for Group Theory in Cognitive Science and has developed a generative theory of shape.

Bradley eventually developed the explanation of aberration in about September 1728 and his theory was presented to the Royal Society in mid January the next year.

Sir Isaac Newton was probably the discoverer of astigmation ; the position of the astigmatic image lines was determined by Thomas Young ( A Course of Lectures on Natural Philosophy, 1807 ); and the theory was developed by Allvar Gullstrand.

Link Grammar is both a theory of syntax and an open source parser which is now developed by the AbiWord project.

William John Macquorn Rankine and Pierre Henri Hugoniot independently developed the theory for flow properties before and after a shock wave.

Researchers at Bell developed radio astronomy, the transistor, the laser, information theory, the UNIX operating system, the C programming language and the C ++ programming language.

In 1930, England captain Douglas Jardine, together with Nottinghamshire's captain Arthur Carr and his bowlers Harold Larwood and Bill Voce, developed a variant of leg theory in which the bowlers bowled fast, short-pitched balls that would rise into the batsman's body, together with a heavily stacked ring of close fielders on the leg side.

The Big Bang theory developed from observations of the structure of the Universe and from theoretical considerations.

The other was Lemaître's Big Bang theory, advocated and developed by George Gamow, who introduced big bang nucleosynthesis ( BBN ) and whose associates, Ralph Alpher and Robert Herman, predicted the cosmic microwave background radiation ( CMB ).

The cell theory, first developed in 1839 by Matthias Jakob Schleiden and Theodor Schwann, states that all organisms are composed of one or more cells, that all cells come from preexisting cells, that vital functions of an organism occur within cells, and that all cells contain the hereditary information necessary for regulating cell functions and for transmitting information to the next generation of cells.

Curious as to how fungi reproduced Potter began microscopic drawings of fungi spores ( the agarics ) and in 1895 developed a theory of their germination.

In 1915, Albert Einstein developed his theory of general relativity, having earlier shown that gravity does influence light's motion.

This theory of Homer's influence on Beowulf remained very prevalent in the 1920s, but started to die out in the following decade when a handful of critics stated that the two works were merely “ comparative literature ” although Greek was known in contemporary England.

In the 1920s and 1930s almost every major cosmologist preferred an eternal steady state Universe, and several complained that the beginning of time implied by the Big Bang imported religious concepts into physics ; this objection was later repeated by supporters of the steady state theory.

Werner Heisenberg had been an assistant to Niels Bohr at his institute in Copenhagen during part of the 1920s, when they helped originate quantum mechanical theory.

In the early 1920s, dance studies ( dance practice, critical theory, Musical analysis and history ) began to be considered an academic discipline.

However, most chemists followed Kekulé's lead in pursuing and developing what some have called " classical " structure theory, which was modified after the discovery of electrons ( 1897 ) and the development of quantum mechanics ( in the 1920s ).

Writing in the 1920s, Kondratiev proposed to apply the theory to the 19th century:

During the 1920s, the experiments pioneered by Michelson were repeated by Dayton Miller, who publicly proclaimed positive results on several occasions, although not large enough to be consistent with any known aether theory.

Then, in the early 1920s, in a lecture which he was invited to give at Lorentz's university in Leiden, Einstein sought to reconcile the theory of relativity with his mentor's cherished concept of the aether.

The theory that proton – proton reactions were the basic principle by which the Sun and other stars burn was advocated by Arthur Stanley Eddington in the 1920s.

The first formulation of a quantum theory describing radiation and matter interaction is due to British scientist Paul Dirac, who, during the 1920s, was first able to compute the coefficient of spontaneous emission of an atom.

In the early 1920s Rolf Nevanlinna, partly in collaboration with his brother Frithiof, extended the theory to cover meromorphic functions, i. e. functions analytic in the plane except for isolated points in which the Laurent series of the function has a finite number of terms with a negative power of the variable.

From the 1920s onward, the movement spread around the globe, eventually affecting the visual arts, literature, film, and music of many countries and languages, as well as political thought and practice, philosophy, and social theory.

In the late 1920s, the new quantum mechanics showed that the chemical bonds between atoms were examples of ( quantum ) electrical forces, justifying Dirac's boast that " the underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known ".

The other three are the meaning-construction function of the press ( Lippmann, 1920s ); cultivation theory ( Gerbner ); the agenda setting function of the press ( Shaw and McCombs ).

Modifications to this axiomatic theory proposed in the 1920s by Abraham Fraenkel, Thoralf Skolem, and by Zermelo himself resulted in the axiomatic set theory called ZFC.

The ring theory, which was firmly established during the 1920s by Emmy Noether and Wolfgang Krull, acquires a distinctly different flavor depending whether it allows rings to be commutative or not.

* Soviet montage theory in the 1920s

* 1920s The practical theory of gas flow through passages was developed into the more formal ( and applicable to turbines ) theory of gas flow past airfoils by A.

He is best known for his work on quantum mechanics in the early 1920s, providing the foundation for Bose – Einstein statistics and the theory of the Bose – Einstein condensate.

This theory seems to originate from objects found in the tomb of Tutankhamen in the 1920s.

The magnetic domain theory of how ferromagnetic cores work was first proposed in 1906 by French physicist Pierre-Ernest Weiss, and the detailed modern quantum mechanical theory of ferromagnetism was worked out in the 1920s by Werner Heisenberg, Lev Landau, Felix Bloch and others.