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, if the sense of touch is functioning normally and there is a complete absence of spatial awareness in a psychically-blind person when the eyes are closed and an object is handled, the conclusion seems unavoidable that touch by itself cannot focus and take possession of the third-dimensionality of things and that actual sight or visual representations are necessary.

Therefore, it is recommended that in such cases the sample be replaced, or if used, the results of dimensional change or dimensional restorability tests be considered as indicative only.

Therefore, if a lower court has ruled in an improper manner, or against legal precedent, that judgment will stand if not appealed – even if it might have been overturned on appeal.

Therefore, almost all SAT solvers include time-outs, so they will terminate even if they cannot find a solution.

Therefore it is no great thing if his ministers also transform themselves into ministers of righteousness, whose end will be according to their works.

The Pauline epistles also advanced the " cosmic Christology " of the fourth gospel, elaborating the cosmic implications of Jesus ' existence as the Son of God, as in: " Therefore, if anyone is in Christ, he is a new creation.

Therefore the Knights could only wage a defensive war if pagans violated natural rights of the Christians.

Therefore, if an electric field, E < sub > inc </ sub >( x, y ) is incident on the aperture, the field produced by this aperture distribution is given by the surface integral:

Therefore, it is reasonable to believe that if we set out to be ' our brother's keeper ,' we would often bungle the job and end up doing more mischief than good.

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

Therefore, if Bob's measurement axis is aligned with Alice's, he will necessarily get the opposite of whatever Alice gets ; otherwise, he will get "+" and "−" with equal probability.

Therefore there will be no correlation between key closeness and similar popularity of data as there might be if keys did exhibit some semantic meaning, thus avoiding bottlenecks caused by popular subjects.

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, an Emperor had to be available to negotiate if such a situation arose

Therefore, if the amount of glucose supplied by the blood falls, the brain is one of the first organs affected.

Therefore, in these disciplines, a running martingale is necessary for safety reasons, if a martingale is used at all.

Therefore, people would be relieved if Imbolc is a day of foul weather, as it means the Cailleach is asleep and winter is almost over.

Loss of NOEY2 expression is linked to an increased risk of ovarian and breast cancers ; in 41 % of breast and ovarian cancers the protein encoded by NOEY2 is not expressed, suggesting that it functions as a tumor suppressor gene Therefore, if a person inherits both chromosomes from the mother, the gene will not be expressed and the individual is put at a greater risk for breast and ovarian cancer.

Therefore, a person whose mental disorder is not in dispute is determined to be sane if the court decides that despite a " mental illness " the defendant was responsible for the acts committed and will be treated in court as a normal defendant.

Therefore, if the determinant equals zero then the parallelogram has no area, and that will happen when two vectors are on the same line.

Therefore, the dogs reacted as if food was on its way whenever they saw a lab coat. In a series of experiments, Pavlov then tried to figure out how these phenomena were linked.

Therefore, if the list has more than a few elements, other methods ( such as binary search or hashing ) will be faster, but they also impose additional requirements.

Therefore a naive algorithm to calculate the estimated variance is given by the following:

Therefore, the divergence of is given by

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, in order to describe a given signal completely, it's necessary to quote the color system and the broadcast standard as capital letter.

Therefore, when a runner on first or second base tags on a fly ball and advances no further than third base, no sacrifice is given and the batter is charged with an at-bat.

Therefore, there exists a contact force density or Cauchy traction field that represents this distribution in a particular configuration of the body at a given time.

Therefore, the velocity field of the continuum is given by

Therefore, in December 1942, several patients with advanced lymphomas ( cancers of certain white blood cells ) were given the drug by vein, rather than by breathing the irritating gas.

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, 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, each mirror pair and each non-chiral stereoisomer may be given a specific monosaccharide name.

Therefore, the final velocities are given by

Therefore, the absence of life in Venus, with a somewhat similar composition to Earth's primitive conditions or the absence of life on Mars, given the proposed " resilience " of life in space, damages the panspermia theory, at least based on observations of our own Solar System-the theory suggests that life would be more abundant in the Solar system.

Therefore, when the numbers of atoms in the ground and excited states are equal, the rate of stimulated emission is equal to the rate of absorption for a given radiation density.

It is the business of the pope to look after the interests of the Roman empire, since the empire derives its origin and its final authority from the papacy ; its origin, because it was originally transferred from Greece by and for the sake of the papacy ... its final authority, because the emperor is raised to his position by the pope who blesses him, crowns him and invests him with the empire .... Therefore, since three persons have lately been elected king by different parties, namely the youth son of Henry VI, Philip Hohenstaufen, brother of Henry VI, and Otto Brunswick, of the Welf family, so also three things must be taken into account in regard to each one, namely: the legality, the suitability and the expediency of his election ...... Far be it from us that we should defer to man rather than to God, or that we should fear the countenance of the powerful .... On the foregoing grounds, then, we decide that the youth should not at present be given the empire ; we utterly reject Philip for his manifest unfitness and we order his usurpation to be resisted by all .... since Otto is not only himself devoted to the church, but comes from devout ancestors on both sides ..... therefore we decree that he ought to be accepted and supported as king, and ought to be given the crown of empire, after the rights of the Roman church have been secured.

Therefore, the percentages mentioned above are taken from the total population that declared their ethnicity, given that the non-declared remainder is thought to have an ethnic composition similar to the declared segment.

Therefore, the shortcut taken in raytracing is to presuppose that a given ray intersects the view frame.

Therefore, if ΔE is larger than the thermal energy of the lattice, given by kT, where k is Boltzmann's constant and T is the temperature, the fluid will not be scattered by the lattice.

Therefore, their salt content is given for the respective ions.

Therefore optical amplification will add power to an incident optical field at frequency at a rate given by:

Therefore, if the equation of the line is given in the form

Therefore, to establish a mathematical statement as a theorem, the existence of a line of reasoning from axioms in the system ( and other, already established theorems ) to the given statement must be demonstrated.

Therefore, heritability is not a measure of phenotypic ( physiognomy and physique ) differences among racial and ethnic groups, but of differences between genotype and phenotype in a given population.