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 " 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 energy of the electrons will increase upon compression, so pressure must be exerted on the electron gas to compress it, producing electron degeneracy pressure.

Therefore they were not atoms, but a new particle, the first subatomic particle to be discovered, which he originally called " corpuscle " but was later named electron, after particles postulated by George Johnstone Stoney in 1874.

Therefore, one electron volt is equal to.

Therefore, the autocorrelation function c ( r ) of the electron density ( also known as the Patterson function ) can be computed directly from the reflection intensities, without computing the phases.

Therefore, an alternative description is that the amine gives away one electron to the oxygen atom, which is then used, with the remaining unpaired electron on the nitrogen atom, to form a standard covalent bond.

Therefore, an electron with a higher energy can make it further up the potential barrier, leaving a much thinner barrier to tunnel through and, thus, a greater chance to do so.

Therefore the hole is taken to have positive charge of + e, precisely the opposite of the electron charge.

Therefore, the Fermi-Thomas approximation is only valid when the electron density is high, so that the particle interactions are relatively weak.

Therefore the sample can no longer be considered to be absorbing electrons, via a Beer's law effect, rather the sample can be modelled as an object that does not change the amplitude of the incoming electron wavefunction.

Therefore there is an electron chemical potential that might vary in space, causing diffusion.

Therefore, if we want to introduce a single electron we would have to put it in a positive-energy state, as all the negative-energy states are occupied.

Therefore, whilst for many reactions the increased electron density will increase the reaction rate, the lower energy of the electrons will mean that reactions which require a higher electron energy may take place at a lower rate.

Therefore, the average electron energy is higher than the Fermi energy, making the system conducive for charge motion into a lower energy state.

Therefore, secondary electrons are emitted from the surface of the isolating material when the electron image reaches the target, and the resulting positive charges are stored directly onto the surface of the isolated material.

Therefore, each electron must have an infinite number of hidden

Therefore, a superatom with one more electron than a full shell should give up that electron very easily, similar to an alkali metal, and a cluster with one electron short of full shell should have a large electron affinity, such as a halogen.

Therefore electrons require vacuum to propagate any reasonable distance, such as would be desirable in electron optic systems.

Therefore, under our longstanding allocation rules, on some of these channels no station other than the dominant ( class 1 ) -- A ) station is permitted to operate at night, so that the 1, -- A station can render service, interference free, wherever it can be received.

Therefore, if the target can significantly change its location in something less than 30 minutes, the probability of having destroyed it is drastically lowered.

Therefore each binomial trial can be thought of as producing a value of a random variable associated with that trial and taking the values 0 and 1, with probabilities Q and P respectively.

Therefore only the one who was in the temple can be worshipped.

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, due to impossibility for precision, there is confusion about what interpretations can be culturally negotiated.

Therefore, since sound is in fact an infinitesimal pressure difference propagating through a fluid, the speed of sound in that fluid can be considered the fastest speed that " information " can travel in the flow.

Therefore the ion speed can be computed with the following equation, which relates kinetic energy to energy gain due to the electric field.

Therefore bandwidth can be defined as the difference between the lower and upper half power points.

Therefore, the distillate will not be pure – its composition will be identical to the composition of the vapors at the given temperature and pressure, and can be computed from Raoult's law.

Therefore unless we can gain insight into that truth, and understand what is really able to provide lasting happiness, and what is unable to provide happiness, the experience of dissatisfaction will persist.

Therefore, at maximum operation, each potential traffic channel can have two simultaneous data channels available for messages.

Therefore, one can write:

Therefore, the change in enthalpy can be devised or represented without the need for compressive or expansive mechanics ; for a simple system, with a constant number of particles, the difference in enthalpy is the maximum amount of thermal energy derivable from a thermodynamic process in which the pressure is held constant.

Therefore enthalpy can only accurately be used in a closed system.

Therefore, local changes in concentration ( i. e. creaming ) and global changes in size ( i. e. flocculation, coalescence ) can be detected and monitored.

Therefore unless we can gain insight into that truth, and understand what is really able to give us happiness, and what is unable to provide happiness, the experience of dissatisfaction will persist.

Therefore, anisotropy measurements can be used to investigate how freely a fluorescent molecule moves in a particular environment.

Therefore, the behavior of a linear time-invariant system can be analyzed at each frequency independently.

Therefore, the literature of the late 14th and the early 15th century falls, as it were, in the cracks between Middle and New High German, and can be classified as either.

Therefore, Gardnerian Wicca can be said to differ from some modern non-coven Craft practices that often concentrate on the solitary practitioner's spiritual development.

Therefore, careless or deliberate programming can cause non-trivial changes on the server.