Therefore, compound crossbows generally use only pulleys that are both round and concentrically mounted, in order to capture the maximum available energy from the relatively short draw length.

Therefore the quiet Sun always coincides with the equatorial zone and its surface is lower during the maximum of the solar cycle.

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

Therefore, as long as the lower pot does not become pressurized or boiled dry, the maximum temperature contacted by the upper vessel will be the boiling point of water, and scalding or uneven heat is avoided.

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 it is used only in extreme cases where maximum security of funds is required.

Therefore, the combination of starting tractive effort and maximum speed is greatly influenced by the diameter of the drivers.

Therefore, if you exclude the " T " piece, the maximum number of corners that can be filled by the remaining six pieces is seven ( one corner each for five pieces, plus two corners for the " L " piece ).

Therefore, the current maximum containment levels as stated by the EPA for PCBs in drinking water systems is 0. 5 ppb.

Therefore, players who do not play with the maximum number of credits at a time are playing with a smaller theoretical return.

Therefore, the objective function attains the global maximum ( subject to the constraints ) at and the global minimum at The point is a local minimum and is a local maximum, as may be determined by consideration of the Hessian matrix of.

Therefore, the maximum of heat transfer will occur when the skin is completely wet.

Therefore, the maximum lifespan of an individual can be determined by calculating when his or her VO < sub > 2 </ sub > max value drops below the basal metabolic rate necessary to sustain life --- approximately 3 ml per kg per minute.

Therefore, the power required to be dissipated by the braking system under emergency braking conditions may be many times the maximum power which is delivered under acceleration.

Therefore, as the maximum energy density is proportional to J < sub > s </ sub >< sup > 2 </ sup >, this magnetic phase has the potential for storing large amounts of magnetic energy ( BH < sub > max </ sub > ~ 512 kJ / m < sup > 3 </ sup > or 64 MG · Oe ), considerably more than samarium cobalt ( SmCo ) magnets, which were the first type of rare earth magnet to be commercialized.

Therefore, the net FUTA tax rate is generally 0. 6 percent ( 6. 0 percent-5. 4 percent ), for a maximum FUTA tax of $ 42. 00 per employee, per year (. 006 X $ 7, 000 = $ 42. 00 ).

Therefore, coupled cluster terminated at usually recovers more correlation energy than configuration interaction with maximum n excitations.

Therefore, people's maximum performance on one-dimensional absolute judgement can be characterized as an information channel capacity with approximately 2 to 3 bits of information, which corresponds to the ability to distinguish between 4 and 8 alternatives.

Therefore these reflexes prevent levels reaching this maximum volume.

Therefore, the first republic saw a maximum level of 5 effective parties, with only one dominant party.

Therefore pressure vessels are designed to have a thickness proportional to the radius of tank and the pressure of the tank and inversely proportional to the maximum allowed normal stress of the particular material used in the walls of the container.

The corresponding set K of vertices in G ( the vertices whose expanded cliques in G * intersect K *) is a clique in G with the property that it intersects every maximum independent set in G. Therefore, the graph formed from G by removing K has clique cover number at most one less than the clique number of G, and independence number at least one less than the independence number of G, and the result follows by induction on this number.

Therefore, if the average power to a half-wave dipole antenna is 1 mW, then the maximum electric field at 313 m ( 1027 ft ) is 1 mV / m ( 60 dBµ ).

Therefore late payments are not disclosed on the balance sheet for accounts payable.

Therefore, young people are represented by permanent salaried legal aid lawyers or, as per the specified choice, by a private lawyer who accepts the legal aid mandate payable according to the pre-established rates.

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: