Specifically, he demonstrated an upper limit, known as Bell's inequality, regarding the strength of correlations that can be produced in any theory obeying local realism, and he showed that quantum theory predicts violations of this limit for certain entangled systems.

Specifically, the Koksma-Hlawka inequality states that the error

Specifically, Hadamard's inequality states that if N is the matrix having columns v < sub > i </ sub >, then

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, 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.

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 in response to the " majesty and power " reading, Harrington states " My opinion is that ’ s just pure bullshit.

Specifically the final point stated: " A general association of nations must be formed under specific covenants for the purpose of affording mutual guarantees of political independence and territorial integrity to great and small states alike.

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, Congress intended the Act to outlaw the practice of requiring otherwise qualified voters to pass literacy tests in order to register to vote, a principal means by which Southern states had prevented African Americans from exercising the franchise.

Specifically, its shorelines lie in the German federal states of Bavaria and Baden-Württemberg, the Austrian federal-state of Vorarlberg, and the Swiss cantons of Thurgau and St. Gallen.

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

Specifically, it states that for every ε > 0 there exist only finitely many triples ( a, b, c ) of positive coprime integers with a + b = c such that

Specifically, Pantaleo states research has shown, " NAFTA, as a capitalist approach, has directly created a devaluation of women and an increase ingendered violence.

Specifically, Oden states ( pg.

Specifically, Article 6 of the treaty states that if any captured Americans, be it done by Moroccans or by other Barbary Coast states dock at a Moroccan city, said Americans would be set free and be under the protection of the Moroccan state.

Specifically, Randolph promoted the Principles of ' 98, which said that individual states could judge the constitutionality of central government laws and decrees, and could refuse to enforce laws deemed unconstitutional.

Specifically, DoD policy stated that " the medal will be issued only to those taken prisoner by an enemy during armed conflict ," and further states that " hostages of terrorists and persons detained by governments with which the US is not actively engaged in armed conflict are not eligible for the medal .” However, the 1989 amendment to the POW Medal Statute that created an exception to the armed conflict requirement was overlooked in the July 1990 version of the DoD Manual of Military Decorations and Awards, presumably because the 1989 amendment occurred in November, during the staffing window for the 1990 revision to the manual.

Specifically, the resolution stated that the war was being waged for the reunion of the states, and not to abolish the south's " peculiar institution " of slavery.

Specifically, many realist critics claim that the effect ascribed to democratic, or liberal, peace, is in fact due to alliance ties between democratic states which in turn are caused, one way or another, by realist factors.

Specifically, the Knowledge Argument is an attack on the physicalist claim about the completeness of physical explanations of mental states.

Specifically, addiction is hypothesized to function as a compensatory means to modulate effects and treat distressful psychological states, whereby individuals choose the drug that will most appropriately manage their specific type of psychiatric distress and help them achieve emotional stability.

Specifically, neurotypical people have neurological development and states that are consistent with what most people would perceive as normal, particularly with respect to their ability to process linguistic information and social cues.

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, 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, the Cucurbitaceae ( gourd family ) are responsible for some food species, such as squash, pumpkin ( both from Cucurbita ), melon including watermelon ( Citrullus vulgaris ), and cucumber ( Cucumis ).

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

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

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

Specifically, they showed that for sufficiently large, there are at least Carmichael numbers between 1 and.

Specifically, if a judge consistently gives low scores for all divers, or consistently gives high scores for the same divers, the judging will yield fair relative results and will cause divers to place in the correct order.

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, within the medieval Oyo Empire of present day southwestern Nigeria and Benin, separate guilds developed for professional dancers, mask carvers, and musicians associated with egungun ancestral masquerade performances often regarded as the predecessor to the traveling Alarinjo theatre.

Specifically, the distribution of this trait suggests that this need may have ( initially ) grown so intense at certain ( early ) points that those among said ( initially more deeply pigmented skinned ) Northern-migrants with mutations for straighter hair survived and had children at ( somewhat ) higher rates.

Specifically, the relevant findings indicate that the EDAR mutation coding for the predominant East Asian ' coarse ' or thick, straight hair texture arose within the past ~ 65, 000 years, which is a time frame that covers from the earliest of the ' Out of Africa ' migrations up to now.

Specifically, x ∧ x = x and x ∨ x = x for all x.

Specifically, Harper's government was planning to publicly criticize Gaddafi for praising the convicted Lockerbie bomber.

Specifically within the United States, over-illumination is responsible for approximately two million barrels of oil per day in energy wasted.

Specifically, it can be shown that for prime p > 2, M < sub > p </ sub >

Specifically, Stanovich argues that the use of memes as a descriptor for cultural units is beneficial because it serves to emphasize transmission and acquisition properties that parallel the study of epidemiology.