Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.

Therefore, any measures taken in peacetime which will decrease force requirements in war will contribute greatly to success when hostilities occur.

Therefore, neither merit the beatific vision, nor yet are subjected to any punishment, because they are not guilty of any personal sin although they have not received baptism, so still bear original sin.

Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

Therefore, any test of a scientific theory must prohibit certain results which will falsify the theory, and expect other specific results which will be consistent with the theory.

Therefore it soon announced and implemented a hostile doctrine against any political dissent, whether inside or outside the party.

Therefore, it is necessary to have the existence of a conflict in public law without any constitutional aspects and no assignment to another jurisdiction.

Therefore, native Caymanians do not have any Amerindian heritage from their own islands ; however, a significant number of Jamaicans have settled in the Cayman Islands over the years, so they and their descendants may have some Amerindian blood via Jamaica.

Therefore, the diagonal of a 4 x 9 lattice does not intersect any other square lattice | lattice points

Therefore strings beginning with C ( or any other capital letter ) would be sorted before strings with lower-case a, b, etc.

Therefore, just as Christianity does not accept that Mosaic Law has any authority over Christians, Judaism does not accept that the New Testament has any religious authority over Jews.

Therefore an optimizer can replace a string copy with a sequence of word moves without any loops, which will be much faster.

Therefore, as outlined in the example above, neither the EPR experiment nor any quantum experiment demonstrates that faster-than-light signaling is possible.

Therefore, General Niazi and Air Marshal Enamul Haque, Commander of Eastern Air Force Command ( EAFC ), were failed to launch any operation in East Pakistan against Indian or its allies.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

Therefore, the first and second rules (" always treat the gun as if loaded ", " never let the muzzle cover non-targets ") apply to any gun, even one loaded with blanks.

Therefore, all this must be kept secret-which rules out any approach to the police or other outside agency.

Therefore, any eigenstate of the electron in the hydrogen atom is described fully by four quantum numbers.

Therefore any electron can interchange with another one with no observable physical change of the system at all.

Therefore " Liberty will abolish interest ; it will abolish profit ; it will abolish monopolistic rent ; it will abolish taxation ; it will abolish the exploitation of labour ; it will abolish all means whereby any labourer can be deprived of any of his product.

Therefore, language, in the absence of translation, comprises a barrier to a worldwide community of debate and opinion, although it is also true that media within any given society may be split along class, political or regional lines.

Therefore, before any interrogation begins, the police must advise the suspect that:

Therefore, the name addresses neither the re-union or union, but the unity of Germany.

Therefore he took pains to safeguard unity in doctrine by theological formulas of union, but these were made as broad as possible and were restricted to the needs of practical religion.

Therefore, the convex hull of a set X of three or more points in the plane is the union of all the triangles determined by triples of points from X, and more generally in N-dimensional space the convex hull is the union of the simplices determined by at most N + 1 vertices from X.

Therefore, Burton Smith asked that complaints about the newspaper's activities be directed to the union, rather than to the university administration.

“ Therefore, the committee desires to express to the public as its firm belief that both the public and the employees aforesaid have equitable rights and interests in the said mill which cannot be modified or diverted without due process of law ; that the employees have the right to continuous employment in the said mill during efficiency and good behavior without regard to religious, political or economic opinions or associations ; that it is against public policy and subversive of the fundamental principles of American liberty that a whole community of workers should be denied employment or suffer any other social detriment on account of membership in a church, a political party or a trade union ; that it is our duty as American citizens to resist by every legal and ordinary means the unconstitutional, anarchic and revolutionary policy of the Carnegie Company, which seems to evince a contempt public and private interests and a disdain the public conscience.

Therefore, he became King of Hanover when his niece, Victoria, became Queen of the United Kingdom, ending the personal union between Britain and Hanover that had existed since 1714.

Therefore when the labor movement revived in the early 1930s the Communist league was well placed to put its ideas into action in the Twin Cities and through their influence in the International Brotherhood of Teamsters the union rapidly grew after an historic dispute in 1934.

Therefore we see that U is defined by taking the union of the sets of linear functionals defining the W < sub > i </ sub >.

Therefore, the idea of the picture is that by the union of Karma, Jnana, Bhakti and Yoga, the vision of Paramatman is obtained.

Therefore, conspiracy theorists believe the borders between Mexico, Canada and the United States are in the process of being erased, covertly, by a group of globalists whose ultimate goal is to replace national governments in Washington, D. C., Ottawa and Mexico City with a European-style political union and a bloated E. U .- style bureaucracy.

Therefore the T-invariant subspace A ( G )< sup > λ </ sup > of A ( G ) is an increasing union of subrepresentations of the form End ( E ) for representations E ( of the form E < sub >( q − 1 ) ρ </ sub >)).

Therefore, while it is common for " football " ( or the slang term " footy ") to be used to refer to rugby union, it is usually not used otherwise.

Therefore the fact that Cardoso's administration tried to set on its feet various " alternative ", tamer social movements which were supposed to pressure for land reform on purely negotiated terms, such as the Movement of Landless Producers ( Movimento dos Agricultores Sem Terra, or MAST ), organized on a local basis in the São Paulo State, around the trade union central Syndical Social Democracy, or SDS.

Therefore, many impediments and constraints came into various shapes in the way of Jamiat to avert it to move further from its aristocratic mission of Islamization like the ban on students ’ union in academic institutions that was a main source to develop influence of students.

Therefore, under the Comintern's influence, the Communists changed their line and adopted an " antifascist union " line, which led to the Popular Front ( 1936 – 38 ), which won the 1936 elections and brought Blum to power as France's first socialist prime minister.

Therefore, the emperorship was tied to the office of the King of Prussia instead of a personal union between the Empire and the Kingdom of Prussia.

Therefore algebras on Boole's account cannot be interpreted by sets under the operations of union, intersection and complement, as is the case with modern Boolean algebra.

Therefore " The people of each state would be apt to feel a stronger bias towards their local governments than towards the government of the union.

Therefore corporations have always had a ' legal personality ' for the purposes of conducting business while shielding individual stockholders from personal liability ( i. e., protecting personal assets which were not invested in the corporation ).

Therefore, nitrogen deficiency is most reliably detected by conducting quantitative tests in addition to assessing the plants visual symptoms.

Therefore, the ability to alter, test and select production assumptions is essential in conducting DEA-based research.

Therefore people driving or conducting activities which require vigilance should exercise caution in using nitrazepam or possibly avoid it all together.

Therefore, By conducting a hearing test, the Hearing Aid Instrument Specialist will determine if a hearing loss is present, the nature and degree of any loss, and how this may be impeding the patient ’ s communication ability and quality of life.