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 USCF and some chess sites use a formula based on the logistic distribution.

Therefore greater GPCR selectivity may be obtained by targeting allosteric sites.

Therefore, the Victor and JVC-Victor web sites look quite different.

Therefore grave diggers in the UK are particularly careful to ensure that grave sites are dug with plenty of room for the coffin to pass.

Therefore designing sites in accordance with Web accessibility principles helps enable meaningful access for all users.

Therefore, whether Japanese web sites use EUC-JP or Shift_JIS often depends on what OS the author uses.

Therefore, sites that handle hydrogen peroxide are often equipped with emergency showers, and have hoses and people on safety duty.

Therefore many sites that don ’ t include the code but do practice high privacy standards will not be accessible to users who use P3P as their only online privacy guide.

Therefore, the N-terminus can interact with other proteins, notably the S-100 protein family, and includes phosphorylation sites which allow for further signaling.

Therefore, fractional distillation must be used in order to separate the components by repeated vaporization-condensation cycles within a packed fractionating column.

Therefore there is a probability that there will be a major earthquake in the region within the next 200 years.

Therefore, it is necessary to either stack polyester protected photographs horizontally within a box, or bind them in a three ring binder.

Therefore, even new systems usually contain one or more batch applications for updating information at the end of the day, generating reports, printing documents, and other non-interactive tasks that must complete reliably within certain business deadlines.

Therefore, the Disney Company petitioned the Florida State Legislature for the creation of the Reedy Creek Improvement District, which would have almost total autonomy within its borders.

Therefore, they had to be reserved a sacellum within the new temple.

Therefore, some areas that are within range for DSL service are disqualified from eligibility because of load coil placement.

Therefore, the components of HDI viz, Life Expectancy Index, Education Index and Income Index are directly related to Human Capital formation within the nation.

Therefore, Federal courts only have jurisdiction to apply the Act to conduct that restrains or substantially affects either interstate commerce or trade within the District of Columbia.

Therefore, it is impossible to achieve broad consensus of a precise definition, even within a given territory.

Therefore, the Grand Canal served to make or break the economic fortunes of certain cities along its route, and served as the economic lifeline of indigenous trade within China.

Therefore independents generally exist as pockets of territory within a greater RBOC region.

Therefore, as above, it accepts philosophic speculation and statements of dogma only to the extent that they exist within, and are compatible with, the system of written and oral Torah.

Therefore RDF swaps object for subject that would be used in the classical notation of an Entity – attribute – value model within Object oriented design ; object ( sky ), attribute ( color ) and value ( blue ).

Therefore, considering the fact that the " Discount " must match the benefits obtained from a similar Investment Asset, the " Discount Yield " must be used within the same compounding mechanism to negotiate an increase in the size of the " Discount " whenever the time period the payment is delayed or extended .< Ref Name =" Economics_Discount "/> The “ Discount Rate ” is the rate at which the “ Discount ” must grow as the delay in payment is extended .< Ref Name =" MathEcon_Chiang "> Alpha C Chiang, " Fundamental Methods of Mathematical Economics, Third Edition ", McGraw Hill Book Company, 1984 .</ ref > This fact is directly tied into the " Time Value of Money " and its calculations.

The Rate of Return on investment should be the dominant factor in evaluating the market's assessment of the difference between the " Future Value " and the " Present Value " of a payment ; and it is the Market's assessment that counts the most .< Ref Name =" Economics_Competition "/> Therefore, the " Discount Yield ", which is predetermined by a related Return on Investment that is found in the financial markets, is what is used within the " Time Value of Money " calculations to determine the " Discount " required to delay payment of a financial liability for a given period of time.

Therefore, you will have, within your power as Lieutenant General of the Kingdom, to proclaim the accession of Henri V to the throne.

Therefore, the PRC believes that it is within their legal rights to extend its jurisdiction to Taiwan, by military means if at all necessary.

Therefore, beginning in the late 4th century, the empire often contracted whole bands of barbarians either within the legions or as autonomous foederati.

Therefore, it is suggested that working-class children should have pre-school training within their early childhood period.

Therefore, there are no recorded villages within the current boundaries of Porter County.

Therefore, although the oil concentration of a perfume in EdP dilution will necessarily be higher than the same perfume in EdT from within the same range, the actual amounts can vary between perfume houses.

Therefore, all partners with whom the patient has had sexual contact within the previous 30 days should be evaluated and treated, and sexual contact should be avoided until all partners have successfully completed treatment and are thought to be cured.