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, his only recourse was to learn the shape all over again for each new visual experience of the same individual object or type of object ; ;

Therefore each pearl, natural or cultured, will have its own unique collage of colours.

Therefore, most antigens have the potential to be bound by several distinct antibodies, each of which is specific to a particular epitope.

Therefore a computer system usually contains several kinds of storage, each with an individual purpose.

Therefore, the independent principles of yin and yang are actually dependent on one another for each other's distinguishable existence.

Therefore each wave takes slightly less time to reach the observer than the previous wave.

Therefore, each image engenders its opposite.

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

Therefore, the David Bowman in each book is a different, yet similar, incarnation of the same character.

Therefore, they are subject to counter-party risk, like an ordinary contract, since each counter-party relies on the other to perform.

Therefore, in those lunar calendars in which each month begins on the new moon, the full moon falls on either the 14th or 15th of the lunar month.

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

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, just as Bayes ' theorem shows, the result of each trial comes down to the base probability of the fair coin:.

Therefore, each slot of a hash table is associated with ( implicitly or explicitly ) a set of records, rather than a single record.

The other triose, the aldose H ( C = O )( CHOH )< sub > 2 </ sub > H ( glyceraldehyde ), has one chiral carbon — the central one, number 2 — which is bonded to groups-H ,-OH ,-C ( OH ) H < sub > 2 </ sub >, and -( C = O ) H. Therefore, it exists as two stereoisomers whose molecules are mirror images of each other ( like a left and a right glove ).

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

Therefore, if two laws conflict with each other, a court must decide which law applies.

Therefore, each new generation will be enriched by the increasing abundance of alleles that contribute to those traits that were favored by selection, enhancing these traits over successive generations.

Therefore primer sequence corresponding to the amino acid isoleucine might be " ATH ", where A stands for adenine, T for thymine, and H for adenine, thymine, or cytosine, according to the genetic code for each codon, using the IUPAC symbols for degenerate bases.

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, counting the turns of the cups over a set time period produced the average wind speed for a wide range of speeds.

Therefore, the stresses considered in continuum mechanics are only those produced by deformation of the body, sc.

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, the missile was ejected from its launch tube using high pressure steam produced by a solid-fueled boiler.

Therefore, the pressure wave produced by a high explosive is not significantly increased by confinement as detonation occurs so quickly that the resulting plasma does not expand much before all the explosive material has reacted.

Therefore, the rotation is completely produced by the perpendicular motion around the origin, and the angular velocity is completely determined by this component.

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, when produced in biologic systems ( cells ), these gaseous molecules are referred to as gasotransmitters.

Therefore, this study proposed that there are two types of pheromone involved: " One, produced prior to ovulation, shortens the ovarian cycle ; and the second, produced just at ovulation, lengthens the cycle ".

Therefore ... they must not have too easy access to relief or hospital treatment lest the removal of the last check on natural selection should make it too easy for children to be produced or to survive ; long unemployment should be a ground for sterilisation.

Therefore, some of the subjects in the March 2011 study who produced sperm in their pre-ejaculate did urinate ( sometimes more than once ) before producing their sample.

Therefore, it has been assumed for a long time that they were produced during the lifetime of their subjects and displayed as " salon paintings " within their houses, to be added to their mummy wrapping after their death.

Therefore, after determining the number of moles of iodine produced, we can work out the number of moles of oxygen molecules present in the original water sample.

Therefore 1 kg of propellant ( 1 / 350 to 1 / 300 of the total mass of the spacecraft ) produced a delta-v of about 45 m / s.

Therefore, these are commonly mass produced.

Therefore the S / C ( street / competition ) was produced by making available to the general production the full race options for the street.

Therefore in mid-1987, the base 2. 2L I4 was replaced with a fuel-injected 2. 5L I4, which produced a respectable, while the Mitsubishi G54B I4 was replaced with the new fuel-injected 3. 0L Mitsubishi V-6 producing, which was a popular upgrade.

Therefore, primary consumers get about 10 % of the energy produced by autotrophs, while secondary consumers get 1 % and tertiary consumers get 0. 1 %.

Therefore, the universe is not in thermodynamic equilibrium and objects can do physical work .< sup >, § VID .</ sup > The decay time for a supermassive black hole of roughly 1 galaxy-mass ( 10 < sup > 11 </ sup > solar masses ) due to Hawking radiation is on the order of 10 < sup > 100 </ sup > years, so entropy can be produced until at least that time.

Therefore a Europe-wide standardization of the ' values ' produced in each of the national higher educational systems is called for.

Therefore, to calculate VORP one must multiply the league's average runs per out by the player's total outs ; this provides the number of runs an average player would have produced given that certain number of outs to work with.

Therefore a few standardized box sizes could be produced instead of a different box for each article.