Eigenvalues of this matrix are where are eigenvalues of A.

* Eigenvalues of are

Eigenvalues for calculating the highest occupied molecular orbital and lowest unoccupied molecular orbital are reported from the closed shell approach.

Eigenvalues and eigenvectors can be generalized to algebra representations.

Everyone knows that private detectives in real life are not like Sam Spade and Pat Novak, but the real and the imaginary musician are closely linked.

SBA works closely with the principal property disposal installations of the Federal Government in reviewing proposed sales programs and identifying those types of property that small business concerns are most likely to be interested in purchasing.

This tied in closely with the current attempt to upgrade state-owned cars to the extent that vehicles are not retained beyond the point where maintenance costs ( in light of depreciation ) become excessive.

But during nighttime hours the skywave radiations are reflected from the ionosphere, thereby creating the possibility of one station's rendering service, via skywave, at a much greater distance than it can through its groundwave signal, and at the same time vastly complicating the interference problem because of the still greater distance over which these skywave signals may cause interference to the signals of stations on the same and closely adjacent frequencies.

Although the standard deviation values on which spread of the lines is based are relatively larger for those centers which begin to ossify early ( Table 1 ), there are considerable differences in this value between centers having the closely timed Onsets.

For the interpretation of these significant investigations, it should be remembered that reciprocal relations exist in the hypothalamus with respect to autonomic and somatic functions which are closely associated with the emotions.

There are several closely related inner functions.

Since they commonly translate thoughts and feelings into deeds, hands naturally represent action, and since nearly half the characters in Great Expectations are of the underworld or closely allied to it, the linking of hands with crime or violence is not to be wondered at.

Nobody can tell more closely how many villages there are.

But today many of those men are reaching retirement age and suddenly realizing that they face an estate tax problem with their closely held companies and also that they have no second-echelon management in their firms.

A 2005 molecular phylogeny based on rDNA analysis suggests that salamanders and caecilians are more closely related to each other than they are to frogs.

The order Caudata ( from the Latin cauda meaning " tail ") consists of the salamanders, elongated, low-slung animals that mostly resemble lizards in form, though this is a symplesiomorphic trait and the two groups are no more closely related than salamanders are to mammals.

The test statistics of this derived linear model are closely approximated by the test statistics of an appropriate normal linear model, according to approximation theorems and simulation studies.

More problematic are words whose senses express closely related concepts.

Other researchers have suggested, based on a cladistic analyses of dorsal exoskeletal features, that Eodiscina and Agnostida are closely united, and that the Eodiscina descended from the trilobite order Ptychopariida.

The idea that the Turkic, Mongolic, and Tungusic languages are closely related to each other was allegedly first published in 1730 by Philip Johan von Strahlenberg, a Swedish officer who traveled in the eastern Russian Empire while a prisoner of war after the Great Northern War.

In sum, the idea was that Turkic, Mongolic, and Tungusic form a Sprachbund – the result of convergence through intensive borrowing and long contact among speakers of languages that are not necessarily closely related.

There are several weaker statements that are not equivalent to the axiom of choice, but are closely related.

Orbitals with the same value of n and also the same value of l are even more closely related, and are said to comprise a " subshell ".

The intimations of a related spirit and ordering of human values are stronger than any sense of disparity.

Rousseau's primitivism, the anti-Newtonian mythology of Blake, Coleridge's organic metaphysics, Victor Hugo's image of the poets as the Magi, and Shelley's `` unacknowledged legislators '' are related elements in the rear-guard action fought by the romantics against the new scientific rationalism.

In addition, there are many areas of the human situation besides the impact of science and technology which are examined, for science-fiction dystopias often extrapolate political, social, economic tendencies only indirectly related to science and technology.

To hang 50 Governors might be preferable except that they are not directly related to the highways ; ;

These roads are largely of less than highway standards, and usually carry traffic which is related to use of the National Forests.

A signal cannot be cleared until all the related turnouts are properly thrown and locked.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

Although there is no question but that the process of washing fabrics involves a number of phenomena which are related together in an extremely complicated way and that these phenomena and their interrelations are not well understood at the present, this section attempts to present briefly an up-to-date picture of the physical chemistry of washing either fabrics or hard surfaces.

Closely related to the andrenas are the nomias or alkali bees.

Perhaps a clue to these and related problems lies in the fact that changes in the intensity of hypothalamic discharges which are associated with changes in its balance lead also to qualitative alterations in reactivity.

Furthermore, conditioned reactions are fundamentally altered when the hypothalamic sympathetic reactivity is augmented beyond a critical level, and several types of behavioral changes probably related to the degree of central autonomic `` tuning '' are observed.

Isolated enterprises have been launched, but they are not yet related to each other in a meaningful pattern.

Closely related to this function is the fact that the religious system provides a body of ultimate ends for the society, which are compatible with the supreme eternal ends.

Nevertheless I consider it reasonable, because of my commitment as an artist, to assume that the rights and responsibilities of creative individuals are related to humanity as a whole rather than to specific geo-political interests.

In another study chromium-substituted aluminum oxyhydroxides and related species, prepared homogeneously by high-temperature hydrolysis, are being characterized and investigated spectrally in the ultraviolet region with a view to identification and semiquantitative estimation of the phases formed under varying preparative conditions.

Therefore employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.

These structures are intimately related to social attachment and bonding in other species.

Bicycle suspensions are used primarily on mountain bicycles, but are also common on hybrid bicycles, and can even be found on some road bicycles, as they can help deal with problematic vibration.

Mechanical acceleration including vibration, centrifugation and agitation are sometimes used.

The four properties are cohesion ( water ), solidity or inertia ( earth ), expansion or vibration ( air ) and heat or energy content ( fire ).

Crossbow silencers are multiple components placed on high vibration parts, such as the string and limbs, to dampen vibration and suppress the sound of losing the bolt.

The noises commonly associated with flatulence are caused by the vibration of the anal sphincter, and occasionally by the closed buttocks.

Electromagnetic pickups convert the vibration of the steel strings into signals, which are fed to an amplifier through a cable or radio transmitter.

: It may be true that all things which are good are also something else, just as it is true that all things which are yellow produce a certain kind of vibration in the light.

If the vocal folds are drawn apart, air flows between them causing no vibration, as in the production of voiceless consonants.

Movements of hair shafts are detected by nerve receptors within the skin and by hair follicle receptors through displacement and vibration of hair shafts.

In an attempt to analyze the results of ultrasonic force microscopy in a quantitative fashion, a force-distance curve measurement is done with ultrasonic vibration applied to the cantilever base, and the results are compared with a model of the cantilever dynamics and tip-sample interaction based on the finite-difference technique.

The term " computer game " also includes games which display only text ( and which can therefore theoretically be played on a teletypewriter ) or which use other methods, such as sound or vibration, as their primary feedback device, but there are very few new games in these categories.

The parts of the blade that are curved are damped from vibration, and do not sound.

The neurons of the skin and muscles that are responsive to pressure and vibration have filtering accessory structures that aid their function.

There are currently two main theories as to how vibration of the vocal folds is initiated: the myoelastic theory and the aerodynamic theory.

These two theories are not in contention with one another and it is quite possible that both theories are true and operating simultaneously to initiate and maintain vibration.

Wavefunctions like these are directly comparable to Chladni's figures of acoustics | acoustic modes of vibration in classical physics, and are indeed modes of oscillation as well, possessing a sharp energy and, thus, a definite frequency.