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, commodities such as sugar are heavily distorted by subsidies on behalf of powerful economies ( the United States, Europe, and Japan ), who have a disproportionate influence in the WTO.

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

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 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, neocolonialism refers to the theory that former or existing economic relationships, such as the General Agreement on Tariffs and Trade and the Central American Free Trade Agreement, created by former colonial powers were or are used to maintain control of their former colonies and dependencies after the colonial independence movements of the post – World War II period.

Specifically, this demand for political democracy implies complete freedom to agitate for secession and for a referendum on secession by the seceding nation.

Specifically, the law makes it illegal to publicly " deny, play down, justify or approve of the genocide committed by the German National Socialist regime during the Second World War ".

Specifically, the process was first used by the English " Good Parliament " against Baron Latimer in the second half of the 14th century.

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

Specifically, the left invariant extension of an element v of the tangent space at the identity is the vector field defined by v ^< sub > g </ sub > =

Specifically, the Massiah rule applies to the use of testimonial evidence in criminal proceedings deliberately elicited by the police from a defendant after formal charges have been filed.

Specifically, he participated in the attempt to take Fushimi castle by assault in July 1600, in the defense of the besieged Gifu Castle in August of the same year, and finally in the Battle of Sekigahara.

Specifically, it is the worldwide, publicly accessible network of interconnected computer networks that transmit data by packet switching using the standard Internet Protocol ( IP ).

According to Stephen Suleyman Schwartz, in his book " The Two Faces of Islam ", “ some say that during this vagabondage Ibn Abdul Wahhab came into contact with certain Englishmen who encouraged him to personal ambition as well as to a critical attitude about Islam .” Specifically, Mir ’ at al Harramin, a Turkish work by Ayyub Sabri Pasha, written in 1888, states that in Basra, Abdul Wahhab had come into contact with a British spy by the name of Hempher, who “ inspired in him the tricks and lies that he had learned from the British Ministry of the Commonwealth .”

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, in 1895 Pierre-Hector Coullié, archbishop of Lyon, voiced his official decision on the reinstatement of sports to Pierre de Coubertin, the founder of the Modern Olympic Games, by stating " Nous acceptons tout, sauf pankration " meaning " We accept all to be reinstated, except pankration ".

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, the campaign raised $ 253. 7 million for undergraduate financial aid, as well as $ 2. 33 billion for its initiative in " Seeking Solutions " to global problems, $ 1. 61 billion for " Educating Leaders " by improving K-12 education, and $ 2. 11 billion for " Foundation of Excellence " aimed at providing academic support for Stanford students and faculty.

Specifically, for sailing boats, red and green sidelights and a white sternlight are required, although for vessels under 7 metres ( 23. 0 ft ) in length, these may be substituted by a torch or white all-round lantern.

* Thomas Coventry, 1st Baron Coventry of England ( 1578 – 1640 ), Judge, Member of Parliament, and politician ( Specifically Soliticar General ( 1617 – 1621 ), Attorney General ( 1621 – 1625 ), and Lord Chancellor ( 1625 – 1640 ))

Specifically, it was developed by the Muslim jurist and historian Al-Maqrizi ( 1364 – 1442 ) who wrote about a particular period in the Mamluk dynasty when the rulers were simultaneously increasing the supply of a lower valued ( copper ) currency and hoarding the more valued ( gold and silver ) currencies.

** How I Met Your Mother ( 2005 – present ): Specifically, the framing sequences with the 52-year-old Ted.

Specifically, Brunvand argued that the Petruchio / Katherina story represents a subtype of Type 901 (' Shrew-taming Complex ') in the Aarne – Thompson classification system.

( Specifically, v < sub > 3 </ sub > = – 2v < sub > 1 </ sub > + v < sub > 2 </ sub >.

** 1989 – Best Song Written Specifically for a Motion Picture or Television for " Let the River Run " from Working Girl ( 1988 )

* Specifically poor structural rigidity, such as pronounced scuttle shake, a characteristic whereby the structural design of the bulkhead between engine and passenger compartment of a convertible suffers sufficiently poor rigidity to negatively impact ride or handling – or allow noticeable vibration, shudder or chassis-flexing into the passenger compartment.

Specifically, tones developed via cheshirisation ( as a remnant of lost consonant distinctions ) – the loss of final consonants and from Old Chinese to Middle Chinese led to three tones in Middle Chinese, and then a tone split ( see below ) doubled the number to six tones, still preserved in some modern Chinese varieties such as Cantonese.

Specifically, the failure of the map to be a local homeomorphism at certain points is referred to as gimbal lock, and is demonstrated in the animation at the right – at some points ( when the axes are coplanar ) the rank of the map is 2, rather than 3, meaning that only 2 dimensions of rotations can be realized from that point by changing the angles.

Specifically, it refers to a Yang – Mills gauge field A which locally approaches pure gauge at spatial infinity.

Specifically, the hypothesis predicts that “ as the infusion of mass media information into a social system increases, higher socioeconomic status segments tend to acquire this information faster than lower socioeconomic-status population segments so that the gap in knowledge between the two tends to increase rather than decrease ” Phillip J. Tichenor, then Associate Professor of Journalism and Mass Communication, George A. Donohue, Professor of Sociology, and Clarice, N. Olien, Instructor in Sociology – three University of Minnesota researchers – first proposed the knowledge gap hypothesis in 1970.

Specifically, a special type of electrohydrodynamic thruster uses the Biefeld – Brown effect to hover.

Specifically, in verses 13: 14 – 17, He instructs them, 14 " If I then, your Lord and Teacher, have washed your feet, you also ought to wash one another ’ s feet.

Specifically, meta-analyses show that lifelong non-smokers with partners who smoke in the home have a 20 – 30 % greater risk of lung cancer than non-smokers who live with non-smokers.

" Specifically, they state that " Pancake " was supposed to help recruit and support anti-Nazi resistance activity in Berlin, Germany, at this time ( 1936 – 38 ).

In January 2010, the Supreme Court struck sections of McCain – Feingold down which limited activity of corporations, saying, " If the First Amendment has any force, it prohibits Congress from fining or jailing citizens, or associations of citizens, for simply engaging in political speech .” Specifically, Citizens United struck down campaign financing laws related to corporations and unions ; law previously banned the broadcast, cable or satellite transmission of " electioneering communications " paid for by corporations in the 30 days before a presidential primary and in the 60 days before the general election.

Specifically omitted are 14 " Letters on the Iroquois " read before the New Confederacy, 1844 – 1846, and published in The American Review in 1847 under another pen name, Skenandoah ; 31 papers read before The Club, 1854 – 1880 ; and various book reviews published in The Nation.

Specifically, Tai – Kadai and Sino-Tibetan could possibly both belong to the Austronesian language family ( not to be confused with Austroasiatic ) due to a scattering of cognates between their ancestral forms, and there is also some, albeit much more tenuous, evidence to suggest that Austroasiatic should also be included, however his views are but one among competing hypotheses about the phylogeny of these languages, see the Sino-Austronesian languages article for some further detail.

The first isomorphism theorem states that the image of any group G under a homomorphism is always isomorphic to a quotient of G. Specifically, the image of G under a homomorphism is isomorphic to where ker ( φ ) denotes the kernel of φ.

Specifically, a formal theorem is always the last formula of a derivation in some formal system each formula of which is a logical consequence of the formulas which came before it in the derivation.

Specifically, Noether's theorem connects some conservation laws to certain symmetries.

Specifically, the CPT theorem states that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.

Specifically, Carmody applied Dirichlet's theorem to several prime candidates of the form

Specifically, the following theorem holds:

Specifically, a consequence of the Akizuki – Hopkins – Levitzki theorem is that a left ( right ) Artinian ring is automatically a left ( right ) Noetherian ring.

Specifically, the theorem is equivalent to the Boolean prime ideal theorem, a weakened choice principle which states that every Boolean algebra has a prime ideal.

Specifically, applying the structure theorem for finitely generated modules over a principal ideal domain to this algebra yields as corollaries the various canonical forms of matrices, such as Jordan canonical form.

Specifically, the term describes results in quantum mechanics like Bell's theorem and the Kochen – Specker theorem that constrain the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states.

Specifically, Millman's theorem is used to compute the voltage at the ends of a circuit made up of only branches in parallel.