Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, 1745 corresponded to the invention of the `` Leiden '' jar by Kleist, 1764 that of the electrophorus by Wilcke, 1782 produced the condenser of Volta, and 1801 the voltaic pile.

Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus, his estimate lies between Oliver's suggestion of at least 37 feet and the 50-foot `` monstrous freaks '' intimated by Heuvelmans.

Thus cortico-fugal discharges induced by topical application of strychnine to a minute area in the neocortex summate with spikes present in the hypothalamus and cause increased convulsive discharges.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus we obtain g{t} by introducing an oblique g{t}-axis in the Aj.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus he may be referring to some concrete thing, or incident, in his immediate environment by some symbolic-sounding, hyperbolic reference to transcendental events on the global scene.

Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.

Thus, for non-negative changes in the basic wage rate, the industry becomes the active wage-setter, since any increase in the basic wage rate can occur only by reason of industry acquiescence.

Thus, the efficiency **yt couplers is given by -- Af or approximately 50 percent each.

Thus, the combined efficiency of the elements replaced by the two fiber plates ( with a combined efficiency of 0.25 ) is 0.043 or about six times less than that of the two fiber plates.

Thus Af where the maximization is over all admissible policies Af, and Af is related to Af by ( 5 ).

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, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

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, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system.

Thus the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).

Thus a colonial bishop and colonial diocese was by nature quite a different thing from their counterparts back home.

Thus, by the end of 1992, Azerbaijan received arms and military hardware sufficient for approximately four motor rifle divisions with prescribed army units.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus, implicitly, the Constitution creates a Cabinet that includes the principal officers of the various departments.

Thus, the principal contradiction should be tackled with priority when trying to make the basic contradiction " solidify ".

" Thus, many long-term investors, even those who buy and hold for decades, may be classified as speculators, excepting only the rare few who are primarily motivated by income or safety of principal and not eventually selling at a profit.

Thus, cemeteries ( certainly in their modern landscaped or garden cemetery form ), rather than graveyards, became the principal place of burial for the deceased and continue to this day.

Thus, although the Naskapis had never filed a formal statement of claim or similar document, except for a draft history prepared by the late Dr Alan Cooke, the parties to the JBNQA accepted the legitimacy of their claims, and they entered into an agreement-in-principle with the Naskapis in the Spring of 1977 to negotiate an agreement that would have the same principal features as the JBNQA.

Thus the staircase served as an important state procession link between the three principal reception rooms of the house.

Thus a class has an inverse if and only if there is an ideal J such that IJ is a principal ideal.

" it has elements of what is conventionally known as ' sonata form ', but the music does not follow a set pattern [...] Thus, ' expositional ' treatment merges directly into the type of contrapuntal and modulatory writing appropriate to ' elaboration ' sections [...]; the beginning of the principal theme-group is recapitulated in C minor rather than in A minor, and the C minor chorale theme [...] of the exposition is never recapitulated at all "

Thus Sweden held, for a time, the control of the principal trade routes of the Baltic up to the very confines of the empire ; and the increment of revenue resulting from this commanding position was of material assistance during the earlier stages of the war in Germany, whither Gustavus transferred his forces in June 1630.

Thus cemeteries, rather than graveyards, became the principal place of burial for the deceased and this state continues to this day.

Thus if a cone emitted with an initially circular ( or spherical ) cross-section becomes distorted into an ellipse ( ellipsoid ), it is possible for the volume distortion to vanish if the distortions along the principal axes counteract one another.

Thus, she once again participated in the Eurovision Song Contest, this time as a principal singer, and she secured third place for Estonia.

Thus, the ring of integers of Q (√ d ) is a principal ideal domain ( and hence a unique factorization domain ) if and only if the class number of Q (√ d ) is equal to 1.

Thus the classical solutions to G Chern – Simons theory are the flat connections of principal G-bundles on M. Flat connections are determined entirely by holonomies around noncontractible cycles on the base M. More precisely, they are in one to one correspondence with equivalence classes of homomorphisms from the fundamental group of M to the gauge group G up to conjugation.

Thus, Nadi is the principal port of entry for air travelers to Fiji, even though it is on the opposite ( western ) side of the island of Viti Levu from the nation's capital and largest city, Suva.

Thus the melody would be heard as the principal voice, the vox organalis as an accompaniment or harmonic reinforcement.

Thus P is a smooth manifold with a smooth map π: P → M which looks locally like the trivial bundle M × H → M. The frame bundle of M is a principal GL ( n )- bundle, while if M is a Riemannian manifold, then the orthonormal frame bundle is a principal O ( n )- bundle.

Thus, another name for them is trichoblastic carcinoma, which reflects the principal line of differentiation.

Thus, the principal categories of creative work forbidden on Shabbat are called avot melacha, and the principal categories of ritual impurity are referred to as avot tum ' ah.

Thus, if it is difficult for the possessor of information to convey it credibly to the party that benefits from reduced energy use, a principal / agent problem arises .”

Thus, it was the principal means of deterrence from 1948 to the late 1950s.

Thus the principal issue of the case had not been resolved.