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, 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, red blood cell mechanics is the major determinant of flow properties of blood.

Therefore an alternative definition of GL ( n, F ) is as the group of matrices with nonzero determinant.

Over a commutative ring R, one must be slightly more careful: a matrix over R is invertible if and only if its determinant is a unit in R, that is, if its determinant is invertible in R. Therefore GL ( n, R ) may be defined as the group of matrices whose determinants are units.

Therefore, a special linear matrix can be written as the product of a special unitary matrix ( or special orthogonal matrix in the real case ) and a positive definite hermitian matrix ( or symmetric matrix in the real case ) having determinant 1.

Therefore, red blood cell mechanics is the major determinant of flow properties of blood.

Therefore the derivative of at a exists and equals f ′( g ( a )) g ′( a ).

Therefore it is essential to consider elasticity when estimating the total costs of a planned subsidy: it equals the subsidy per unit ( difference between market price and subsidized price ) times the new equilibrium quantity.

Therefore, the shape of the open surface of a fluid equals the equipotential plane of the applied outer conservative force field.

Therefore they were particular about “ a merger of equals ”.

Therefore, you people should not ascribe equals for Allah the Exalted,

Therefore, the change in φ over one oscillation of u ( or, equivalently, one oscillation of r ) equals

Therefore, the allele freguency for a ( the white color allele ) equals

Therefore, it suffices to find the distance x < sub > 1 </ sub > or x < sub > 2 </ sub > from K to B or V, respectively, where x < sub > 1 </ sub >+ x < sub > 2 </ sub > equals D, the distance between B and V.

Therefore, in any graph, the sum of the connected domination number and the max leaf number equals the total number of vertices.

Therefore, the slope of the tangent is the limit of Δy / Δx as Δx approaches zero, or dy / dx.

Therefore, the matrix being positive definite means that f has a unique minimum ( zero ) when z is zero, and is strictly positive for any other z.

Therefore it must keep track of the running DC buildup, and always pick the code word that pushes the DC level back towards zero.

Therefore the radiation plot of most antennas shows a pattern of maxima or " lobes " at various angles, separated by " nulls " at which the radiation goes to zero.

Therefore 1 / 137. 036 is the value of the fine-structure constant at zero energy.

Therefore the current at both the junctions are equal and opposite and the net current is zero, and if both the junctions are kept at different temperature then diffusion at both the junctions are different and hence different amount of current is produced.

Therefore the net current is not zero.

To start with, none of the terms a, 2a, ..., ( p − 1 ) a can be congruent to zero modulo p, since if k is one of the numbers 1, 2, ..., p − 1, then k is relatively prime with p, and so is a, so Euclid's lemma tells us that ka shares no factor with p. Therefore, at least we know that the numbers a, 2a, ..., ( p − 1 ) a, when reduced modulo p, must be found among the numbers 1, 2, 3, ..., p − 1.

Therefore they are precisely the residue classes that make the first factor zero.

Therefore this event, with x fixed, has probability zero.

Therefore the product of zero numbers is 1.

Therefore the total force acting on it must be zero and the two forces F and w must cancel one another out ( that is, F

Therefore, as n approaches infinity, goes to zero and < math > R < I ( X ; Y )-3

Therefore, at that point the thermoluminescence signal is zero.

Therefore the chemical potential of photons is always and everywhere zero.

Therefore f must be identically zero ( mod p ), so its constant term.

Therefore, to write down a 4 × 1 spinor we take any non zero column of the above matrix.

Therefore, in this case, it is not only possible or imaginable that an event with zero probability will occur ; one must occur.

Therefore the electrostatic field everywhere inside a conductive object is zero, and the electrostatic potential is constant.

Therefore, zero transaction costs and private property rights cannot logically coexist

Therefore, the Taylor series of f at the origin converges everywhere to the zero function,

) Therefore, the so-called " average player " does not have a value of zero, like in Pete Palmer's Total Player Rating, but instead is a valued commodity.

) Therefore there must be at least one zero.