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, it is not only a question of honor but of life and death for the Soviet state ''.

Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.

Therefore, a number of more accurate equations of state have been developed for gases and liquids.

Therefore, it is impossible ( without measuring ) to know the definite state of spin of either particle in the spin singlet.

Therefore, if Alice measures + x, the system ' collapses ' into state Ia, and Bob will get − x.

Therefore, the state dedicated enormous resources to the performance of these rituals and to the construction of the temples where they were carried out.

Therefore, the terminology fugue state may carry a slight linguistic distinction from Dissociative Fugue, the former implying a greater degree of motion.

Therefore, Braid defined hypnotism as a state of mental concentration that often leads to a form of progressive relaxation, termed " nervous sleep ".

Therefore, to reduce the number of chips required, it included features such as clock generator, interrupt controller, timers, wait state generator, DMA channels, and external chip select lines.

Therefore, the fish cast Jonah out onto dry land, with Jonah in a state of sickness.

Therefore the armed forces are under the absolute leadership of the Communist Party and are also the armed forces of the state.

Therefore, while the mental state of pain or happiness is not type-identical to any one specific brain state, it is still physical and identical to a particular brain state.

Therefore, it is very likely that any definition of " the physical " based on the current state of physics would end up being ultimately false.

Therefore, its quantum state can be represented as a wave of arbitrary shape and extending over space as a wave function.

Therefore the machine needs to have some hidden state to remember which parts went through and what remains to be done.

Therefore, the Ryan Doctrine supersedes the executive order put in place by President Ford, which forbids the assassination of foreign heads of state.

Therefore, often a trust document will state specifically that trustees are entitled to reasonable payment for their work.

Therefore, the entropy decreases when going from the relaxed to the stretched state, and it increases during relaxation.

Therefore, Jupiter is the " magic player " in the founding of the Roman state and the fields of war, agricultural plenty, human fertility and welfare.

Therefore, it is not surprising that many different proposals have been made and continue to be made, including an Arab state, with or without a significant Jewish population, a Jewish state, with or without a significant Arab population, a single bi-national state, with or without some degree of cantonization, two states, one bi-national and one Arab, with or without some form of federation, and two states, one Jewish and one Arab, with or without some form of federation.

Therefore, the router has to transition to Active state and ask its neighbors for a new route to the destination X.