Specifically, in quantum mechanics, the state of an atom, i. e. an eigenstate of the atomic Hamiltonian, is approximated by an expansion ( see configuration interaction expansion and basis set ) into linear combinations of anti-symmetrized products ( Slater determinants ) of one-electron functions.

Specifically, is the neuter plural of, an adjective related to the verb ἀποκρύπτω ἀποκρύπτειν ( apocriptein ), " to hide something away.

Specifically, at speeds of OC-3 and above, the cost of segmentation and reassembly ( SAR ) hardware makes ATM less competitive for IP than Packet Over SONET ( POS ); because of its fixed 48-byte cell payload, ATM is not suitable as a data link layer directly underlying IP ( without the need for SAR at the data link level ) since the OSI layer on which IP operates must provide a maximum transmission unit ( MTU ) of at least 576 bytes.

* Specifically, a text added to the end of a book or an article, containing information that is important to, but is not the main idea of, the main text

Specifically, in one of his last works, De scientia divina, he concludes that the idea of plurality itself is strictly temporal, a human notion.

Specifically, if A is a linear operator and is a bra, then is another bra defined by the rule

Specifically it is the amount of a substance that contains as many elementary entities ( atoms, molecules or ions ) as there are atoms in 0. 012 kilogram ( or 12 grams ) of carbon-12, where the carbon-12 atoms are unbound, at rest and in their ground state.

Specifically for fluids, the Knudsen number is used to assess to what extent the approximation of continuity can be made.

Specifically, after acknowledging the various popular theories in vogue at the time, of how atoms were reasoned to attach to each other, i. e. " hooked atoms ", " glued together by rest ", or " stuck together by conspiring motions ", Newton states that he would rather infer from their cohesion, that " particles attract one another by some force, which in immediate contact is exceedingly strong, at small distances performs the chemical operations, and reaches not far from the particles with any sensible effect.

Specifically, to minimize the cutting down of trees for fuel, kerosene is being subsidized, and efforts are being made to replace the loss of the forest cover caused by ylang-ylang distillation for perfume.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

Specifically, the timescale for beta-decay of radioactive nuclei produced is faster than the timescale for fusion.

Specifically, if p is the natural length of a section of spring, then the length of the spring with tension T applied has length

Specifically, if one or more of the produced neutrons themselves interact with other fissionable nuclei, and these also undergo fission, then there is a possibility that the macroscopic overall fission reaction will not stop, but continue throughout the reaction material.

Specifically, the table provides conflicting answers to the question of what this particular employee's address is.

Specifically, if he / she chooses to determine the path, then he / she has no influence whatsoever over which of the two paths, the left one or the right one, nature will tell him / her is the one in which the particle is found.

Specifically, it is a non-trivial ring in which every non-zero element a has a multiplicative inverse, i. e., an element x with.

Specifically, it is a vector field.

Specifically, it is claimed that Ezekiel himself may have suffered from temporal lobe epilepsy, which has several characteristic symptoms that are apparent from his writing.

Specifically, by the Casorati – Weierstrass theorem, for any transcendental entire function f and any complex w there is a sequence with, is necessarily a polynomial, of degree at least n.

Specifically, if the vacuum energy is negative and its absolute value is substantially larger than it appears to be in the observed universe ( say, a factor of 10 larger ), holding all other variables ( e. g. matter density ) constant, that would mean that the universe is closed ; furthermore, its lifetime would be shorter than the age of our universe, possibly too short for the intelligent life to form.

Specifically, these imitations have shorter, rounded shafts, very short blades, and screw-together sections.

Specifically, Clinton and Yeltsin agreed to distinguish between a national missile defense system, aimed against strategic weapons, not allowed by the ABMT, and a theater missile defense system to guard against shorter range missile attacks.

Specifically, the conceptual diagram graph 1 identifies only three boxes, two ellipses, and four arrows ( and their five labels ), whereas the picture 1 shows much more pictorial detail, with the scores of implied relationships as implicit in the picture rather than with the nine explicit details in the graph.

Specifically it states that for any integers n ≥ 0 and m ≥ 1, the functions J < sub > n </ sub >( x ) and J < sub > n + m </ sub >( x ) have no common zeros other than the one at x = 0.

Specifically, a male secondary school enrollment 10 % above the average reduced the chance of a conflict by about 3 %, while a growth rate 1 % higher than the study average resulted in a decline in the chance of a civil war of about 1 %.

Specifically, Epstein argues that guilds were cost-sharing rather than rent-seeking institutions.

") appears to be much easier than the problem of actually finding the factors of N. Specifically, the former can be solved in polynomial time ( in the number n of digits of N ) with the AKS primality test.

Specifically, in an environment where it is considered important to know the probability of a fraudulent login in order to accept the risk, one can ensure that the total number of possible passwords multiplied by the time taken to try each one ( assuming the greatest conceivable computing resources ) is much greater than the password lifetime.

Specifically, results showed that those who believed that racial profiling was widespread and that racial tension would never be fixed were more likely to be opposed to racial profiling than those who did not believe racial profiling was as widespread or that racial tensions would be fixed eventually.

Specifically, syntactic salt is a hoop programmers must jump through just to prove that they know what's going on, rather than to express a program action.

Specifically, the weather must be better than basic VFR weather minima, i. e. in visual meteorological conditions ( VMC ), as specified in the rules of the relevant aviation authority.

Specifically, the air temperature at an altitude where the air pressure is ( roughly vertically ) should be lower than the temperature of the air at the surface.

Specifically, LDL particle number ( concentration ), and to a lesser extent size, have shown slightly stronger correlations with atherosclerotic progression and cardiovascular events than obtained using chemical measures of the amount of cholesterol carried by the LDL particles.

Specifically, the Act is committed to an unemployment rate of no more than 3 % for persons aged 20 or over and not more than 4 % for persons aged 16 or over ( from 1983 onwards ), and the Act expressly allows ( but does not require ) the government to create a " reservoir of public employment " to effect this level of employment.

Specifically, given two quantities, p and q, and a rational number m / n we can say that the ratio of p to q is less than, equal to, or greater than m / n when np is less than, equal to, or greater than mq respectively.

" Specifically, Crystal Springs was known as " The Tomato Capital of the World " because for a few years in the late 1930s it canned and shipped out via rail car more tomatoes than any other locale, but this was disrupted by the onset of World War II.

Specifically, members whose commission charges amount to less than 20 % of their gross profits ( across at least 250 markets ) are required to pay the additional charge to make up the difference.

Specifically, the College Board states that use of the SAT in combination with high school grade point average ( GPA ) provides a better indicator of success in college than high school grades alone, as measured by college freshman GPA.

Specifically, intubation is considered if the arterial partial pressure of oxygen ( PaO < sub > 2 </ sub >) is less than 60 millimeters of mercury ( mm Hg ) while breathing an inspired O < sub > 2 </ sub > concentration ( FIO < sub > 2 </ sub >) of 50 % or greater.

Specifically, the President was told that one of Colson's people had gone to Wisconsin and tried to talk to the prosecutors.

Specifically, if hair texture were simply the result of adaptively arbitrary human aesthetic preferences, one would expect that the global distribution of the various hair textures would be fairly random.

Specifically, they require that a patient must have pain associated with the bladder, accompanied by one other urinary symptom.

Specifically, the range is the pixel response time of an LCD, or how quickly a sub-pixel's brightness changes from one level to another.

Specifically, if the cylinders are oriented parallel to one another, there is very little volume that is excluded from the center-of-mass of the approaching cylinder ( it can come quite close to the other cylinder ).

Specifically, the nomenklatura consisted of two separate lists: one was for key positions, appointments to which were made by authorities within the party ; the other was for persons who were potential candidates for appointment to those positions.

Specifically, McVeigh arranged the barrels in the shape of a backwards J ; he later said that for pure destructive power, he would have put the barrels on the side of the cargo bay closest to the Murrah Building ; however, such an unevenly distributed load might have broken an axle, flipped the truck over, or at least caused it to lean to one side, which could have drawn attention.

Specifically, is a nesting depth of one always sufficient?

Specifically, the patch revision I. 5a was known to be one of the most stable.

Specifically, yoga is one of the six āstika (" orthodox ") schools of Hindu philosophy.

Specifically, it assumes either that there is only one timeline, or that any alternative timelines ( such as those postulated by the many-worlds interpretation of quantum mechanics ) are not accessible.

Specifically, if one freezes a right-handed wave in time, when one curls the fingers of one ’ s right hand around the helix, the thumb will point in the direction which the helix progresses given that sense of rotation.

Specifically, a radiation mode is one for which

Specifically, climbing the rim of the crater from outside, one finds: