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, when played by experts, Dots and Boxes becomes a battle for control: An expert player tries to force their opponent to start the first long chain.

Therefore, no fifth move is possible, and the first player loses.

Therefore, once each trick is played, its cards are turned face down and kept in a stack of four near the player who won the trick.

Therefore, if the second player has a winning strategy, the first player could " steal " it by making an irrelevant move, and then follow the second player's strategy.

Therefore, Jupiter is the " magic player " in the founding of the Roman state and the fields of war, agricultural plenty, human fertility and welfare.

Therefore, with careful management, it becomes possible for a player to create an army of heroes from the inexperienced soldiers they began play with.

Therefore, if a player wins a game, he is assumed to have performed at a higher level than his opponent for that game.

Therefore no such media deterioration takes place, and the CD will, with proper care, sound exactly the same every time it is played ( discounting aging of the player and CD itself ); however, this is a benefit of the optical system, not of digital recording, and the Laserdisc format enjoys the same non-contact benefit with analog optical signals.

Therefore, in order to avoid gunfights with numerous opponents, it is advantageous to eliminate soldiers and security cameras before they spot or hear the player.

Therefore, with this type of play, the player would always move 14.

Therefore, when a double is tossed, the player has a total of fourteen spaces to move one or more pawns.

Therefore, the player must often buy replacement weapons or spend gold to have broken weapons repaired.

Therefore, the kulintang player functions not only as the one carrying the melody, but also as the conductor of the entire ensemble.

Therefore, to obtain the best score the player must endanger Peter Pepper by allowing more than one enemy to move onto the ingredient the player is on, just before the player drops it.

Therefore, a player has to know whom to trust and whom to betray, hence the title: Trust & Betrayal.

) 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, 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, any ball pocketed prior to the scratch ( on the same turn ) remains in the pockets ; otherwise the potentially unaffected third player could be placed at a disadvantage no fault of his own.

Therefore, Tezuka chose to have Echizen as the reserve player, but kept in secret to see if he would change.

Therefore, even if a player is too weak to obtain one of the top eight win-loss records, such that s / he cannot advance to the three-round single-elimination playoff that concludes the tournament, s / he can wield some degree of kingmaker influence by a ) conceding to the one or more players whose victory s / he would most prefer but b ) doing his / her best to obtain a win against anyone else.

Therefore, player actions inside EverQuest II will affect what happens in Fortune League and prizes from Fortune League will help users advance back in the EverQuest II environment.

Therefore, in order to penetrate the cannon's defenses, the player must be careful not to completely obliterate the outer ring.