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for those who are not familiar with tensorial calculus and group theory. book.<ref> ...

== <span dir="auto">Functional (mathematics)</span> == ...physics]] is searching for a state of a system that minimizes the [[energy functional]].<!-- EDIT BELOW THIS LINE --> ...

This is the tenth chapter of the first section of the book Electronic Properties of Materials. ...tuation turns into a spherically distributed electron gas where the charge density, <math>\rho</math>, is slowly varying. Although <math>\rho(r)</math> does c ...

...e speed of light, it is necessary to use '''relativistic mechanics''' (the theory of relativity as expounded by Albert Einstein) to calculate its kinetic ene ...e.g. [http://bartleby.com/173/15.html Relativity - The Special and General Theory]) kinetic energy is defined as <math>m c^2 / \sqrt{1 - v^2/c^2}</math>.</re ...

...n|nuclear structure]] theory). In [[w:atomic structure|atomic structure]] theory, calculations may be for a spectrum with many excited energy levels and con The rest of this article will focus on applications in electronic structure theory suitable for molecules with the atom as a special case. ...

...n|nuclear structure]] theory). In [[w:atomic structure|atomic structure]] theory, calculations may be for a spectrum with many excited energy levels and con The rest of this article will focus on applications in electronic structure theory suitable for molecules with the atom as a special case. ...

[[w:Interior (topology)|Exterior]] or [[w:Complement (set theory)|complement]] of [[w:Filled Julia set|filled-in Julia]] set is : ...uments/Szekeres_seminar_QMUL_2006jan10.pdf The work of George Szekeres on functional equations by Keith Briggs]</ref> ...

...tic instants that are affected by "instabilities": whatever noise spectral density is measured (or calculated), it describes just phase noise<ref name = "IEEE Either phase noise or jitter, their representation is a one-sided spectral density (where the clock ''(=carrier)'' frequency has disappeared) and the Fourier ...

===Frontier Orbital Theory=== (The Fukui Theory of Reactivity and Selection) ...

...nique mechanical properties such as high strength, high stiffness, and low density <ref>qian2002</ref> and also interesting electronic properties. A single-wa ...of ground state electron density as calculated with [[w:Density functional theory|DFT]]]] ...

...ePage.aspx?id=N2013110143&name=YZGQG&floor=1 The China Light Industry Year Book (2010, 2011, 2012)] and Zufang Sheng<ref name=":4" /> ...e, the market for E-bike should keep expanding according to 'magic bullet' theory. ...

...e used for machine learning to infer from known to unknown situations. The book serves as a reference for common analytical representations of Gaussian pro ! Distribution type !! Notation !! Variables !! Probability density function ...

...bandwidth and (equivalent) damping factor, as they are used in analog PLL theory,''</u> ...bandwidth and (equivalent) damping factor, as they are used in analog PLL theory, irrespective of the fact that in the implementation of a SEC (equipment sl ...

...point. This mathematical definition is very useful in electronics circuit theory. ...e derived from [[w:Coulomb's Law|Coulomb's Law]]. Distributions of charge density in various shapes may also yield vector '''E''' contributions to the total ...

{{book title|An analysis of the life cycle of streetcars in the Twin Cities}} ...s.<ref name=crosby>Crosby, O. and Bell, L. (1893). The electric railway in theory and practice. WJ Johnston ...

...g Nuclear Energy and Internal Combustion Technology, go hand in hand. This book describes the nuts and bolts of this Science. ...d is capable of producing massive amounts of energy. This is still just a theory however, which will be proven of course, as logic already has.... ...

==Theory of nuclear magnetic resonance== ...ples are similar; however, the instrumentation, data analysis and detailed theory are significantly different. Moreover, there is a much smaller number of mo ...

...ure of the density of [[electron]]s within the crystal. From this electron density, the mean positions of the atoms in the crystal can be determined, as well ...at different rotations are converted into a three-dimensional model of the density of electrons within the crystal using the mathematical method of [[Fourier ...

...w\underset{\mbox{(steam)}}{\mbox{gas}}.</math></div> Gas is typical to low density, high temperature and low pressure. It is generally prone to changes in sha parameters (see diagram (1)). First order changes (volume/density "jumps" at the transition, and no jump in pressure/temperature) occur on th ...

...ximation. Even if one can speak about a homogeneous distribution of matter density at distances that are large compared to the intergalactic space, this homog ...en it reaches the physical singularity, understood as a point where matter density and invariants of the [[w:Riemann curvature tensor|Riemann curvature tensor ...