Thus fines and noncustodial sentences may address the crimes seen as least serious, with lengthy imprisonment or ( in some jurisdictions ) capital punishment reserved for the most serious.

Thus, Plato considered any speech of lengthy prose aimed at flattery as within the scope of rhetoric.

Thus, due to this emphasis on prayer in the early church, lengthy passages of the New Testament are prayers or canticles ( see also the Book of Odes ), such as the Prayer for forgiveness (), the Lord's Prayer, the Magnificat (), the Benedictus (), Jesus ' prayer to the one true God (), Praise be to the God and Father of our Lord Jesus Christ (), the Believers ' Prayer (), may this cup be taken from me (), Pray that you will not fall into temptation (), Saint Stephen's Prayer (), Simon Magus ' Prayer (), pray that we may be delivered from wicked and evil men (), Maranatha.

Thus, unanimous votes in representative bodies do not represent, as critics charge, imposition by the PCC, but rather legitimate consensus worked out in lengthy discussion at several levels.

Thus it is safe to say it has a lengthy discourse time.

Thus, a solution requires that no two queens share the same row, column, or diagonal.

Thus the elements of second row of matrix are identical to those of the first row and hence the third and fourth rows etc.

Thus the elements of second row of matrix are not identical to that of the first row, neither are the third and fourth rows, etc.

Thus let V be a vector space of dimension n over the field of scalars S, and let each of f = ( X < sub > 1 </ sub >,..., X < sub > n </ sub >) and f ' = ( Y < sub > 1 </ sub >,..., Y < sub > n </ sub >) be a basis of V .< ref group =" note "> A basis f may here profitably be viewed as a linear isomorphism from R < sup > n </ sup > to V. Regarding f as a row vector whose entries are the elements of the basis, the associated linear isomorphism is then Also, let the change of basis from f to f ′ be given by

Thus, each row ( or column ) of a stochastic matrix is a probability vector, which are sometimes called stochastic vectors.

Thus, a row in the referencing table cannot contain values that don't exist in the referenced table ( except potentially NULL ).

Thus, the row of 6 cams that had be in position for addition now had a row with 3 cams.

Thus, the first two fouls are a loss of one point each, and the third foul in a row is a loss of 16 points ; 1 point for the foul, and 15 points for it being the third consecutive foul.

Thus, the first half of each row is the other's complement.

Thus, each cell of the matrix corresponds to the strength of the association between the row item and the column item.

Thus we can transform any minor into any other minor by adding rows and columns, switching them, and multiplying a row or a column by − 1.

Thus, the complex conjugate to a vector, particularly in finite dimension case, may be denoted as ( v-star, a row vector which is the conjugate transpose to a column vector ).

Thus the minimum row sum gives a lower bound for r and this observation can be extended to all non-negative matrices by continuity.

Thus, a gap on the extreme left of a row can be filled with a card with the same suit and a rank lower than the card on the gap's right or a card with the same suit and a rank higher than the last card of the row above, and vice versa.

Thus, the available tones for a 21-tone row would include B-sharp, C, C-sharp, D-flat, D, D-sharp, E-flat, E, F-flat, E-sharp, F, F-sharp, G-flat, G, G-sharp, A-flat, A, A-sharp, B-flat, B, and C-flat.

Thus a row of houses developed from a cattle market to the north of the walled in town and this market lent its name to the new street: the Zeil.

Thus, the farms represented an extension beyond the towns of the wall of separation between the white and the black occupants of the land.

Thus, Stalin imposed collectivization to replace private farms ; most of the collectivization process involved the stripping of land from the kulaks in order to distribute it among state farms worked by peasants.

Thus, although prices paid by the state for sovkhoz produce were lower than for compulsory deliveries from collective farms, state farms were in a financially much better position.

Thus, it seems that populations on the sporting estates of Argentina are holding their own, with the birds breeding four times a year and thriving on the vast areas of grain, some grown for their benefit, most of it on commercial farms which are happy to support the dove shooting.

Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

Thus, the Church was born and because of its intrinsic character was soon identified as a conservative institution, determined to resist the forces of change, to identify itself with the political rulers, and to maintain a kind of splendid isolation from the masses.

Thus, when the Russians sent up their first sputnik, American chagrin was human enough, and American determination to put American satellites into orbit was perfectly understandable.

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus it was that Barco, apprehended for mere larceny, now began to suspect that one or another of his murders had been uncovered.

Thus, the energy transferred from the arc to the anode was partly fed back into the arc.

Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus the Congress marks a formal recognition of the political system that was central to world politics for a century.

Thus, in the immemorial way -- in the way of the right hand that knows and the left that does not -- was the stage set for tragedy at Bari.

Thus at the same time that William Henry Harrison was preparing to pacify the aborigines of Indiana Territory and winning fame at the battle of Tippecanoe, Anglo-Saxon settlement made a great leap into the center of the North American continent to the west of the American agricultural frontier.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus when Premier Khrushchev intimated even before inauguration that he hoped for an early meeting with the new President, Mr. Kennedy was confronted with a delicate problem.

Thus `` America '', the most widely sung of the patriotic songs, was written by a New England Baptist clergyman, Samuel Francis Smith ( 1808-1895 ), while a student in Andover Theological Seminary.

Thus, the Mahayana metaphysic of mystical union for salvation was distilled down to a bare self-seeking, and for this reason, the mystic in Asia did not long remain in isolated contemplation.

Thus there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, the masculine animate infinitive dabhumaksanigalu'ahai, meaning to live, was, in the perfect tense, ksu'u'peli'afo, and, in the future, mai'teipa.

Thus, the planetary model of the atom was discarded in favor of one that described atomic orbital zones around the nucleus where a given electron is most likely to be observed.