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 it's a genuine pleasure to tell you about an entirely happy bodybuilder who has never had to train in secret has never heard one unkind word from his parents and never has been taunted by his schoolmates!!

Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,

Therefore as through one man sin entered into the world and through sin death, and thus death has passed unto all men because all have sinned.

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, 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 ).

The final chapter of Acts ends with Paul condemning non-Christian Jews and saying " Therefore I want you to know that God's salvation has been sent to the Gentiles, and they will listen!

Therefore, the field of bioinformatics has evolved such that the most pressing task now involves the analysis and interpretation of various types of data.

Therefore, in order to break a pair, one has to change energies of all other pairs.

Therefore there are now a huge variety of different styles and types of map-for example, one area which has evolved a specific and recognisable variation are those used by public transport organisations to guide passengers, namely urban rail and metro maps, many of which are loosely based on 45 degree angles as originally perfected by Harry Beck and George Dow.

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, he was buried in the Delft Nieuwe Kerk ( New Church ), starting a tradition for the House of Orange that has continued to the present day.

Therefore the age range of 635 to 542 million years before the present is based on correlations to other countries where dating has been possible.

Therefore whenever ( G ) appears before another representative lowercase letter ( subject ), the statement would read, " It is always Going to be the case ..." and whenever ( F ) appears before another subject, the statement would read, " At sometime in the Future it will be the case ...." Whenever ( H ) appears before another subject, the statement would read, " It Has always been the case ..." and whenever ( P ) appears before another subject, the statement would read, " At sometime in the Past it has been the case ...."

" Therefore, scholars are no longer looking for the identity of a single writer but for numerous authors whose authorship has been absorbed into the gospel's development over a period of time and in several stages.

Therefore this has been recognized as a plausible strategy for gene therapy, by removing the viral DNA and using the virus as a vehicle to deliver the therapeutic DNA.

Therefore, evidence of when human skin darkened has been used to date the loss of human body hair, assuming that the dark skin was needed after the fur was gone.

Therefore, in order to define the quantity of a catalyst, the rate of conversion of a defined chemical reaction has to be specified, preferably of the first order, under strictly controlled conditions.

Therefore, in addition to its strictly communicative uses, language also has many social and cultural uses, such as signifying group identity, social stratification, as well as for social grooming and entertainment.

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, Carl has long ears.