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 some congestion charging schemes have been claimed a " success " because they have achieved a significant reduction in traffic volumes, even though there was little effect on actual journey times.

Thus, the charging documents for a suspect charged with murder would be inscribed with " PC 187 ( a )" or just " PC 187 ".

Thus, " charging " the algorithm for the size of the input, or for the size of the output, would not truly capture the memory space used.

Thus, activists have collected more than 50, 000 signatures supporting their demands that the local government stop charging women to urinate, build more toilets, keep them clean, provide sanitary napkins and a trash can, and hire female attendants.

Thus, barrier options were created to provide the insurance value of an option without charging as much premium.

Thus there were two classes of baccalarii: the baccalarii cursores, theological candidates passed for admission to the divinity course ; and the baccalarii dispositi, who, having completed this course, were entitled to proceed to the higher degrees.

Thus it is necessary to introduce the rule that the Z-isomer has higher priority than the E-isomer.

Thus, unlike metals, semiconductors become better conductors the higher the temperature.

Thus, at UV frequencies and higher ( and probably somewhat also in the visible range ), electromagnetic radiation does far more damage to biological systems than simple heating predicts.

Thus the complexity of a digital filter and the computing time involved, grows inversely with, placing a higher cost on filter functions which better approximate the desired behavior.

Thus, higher hormone concentration alone cannot trigger the negative feedback mechanism.

Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.

Thus, the speed of the air above the wing is higher than below it, as can be seen in the narrower streamtube.

Thus, in several languages of the Banks Islands, including Mwotlap, the simple m stands for, but an m with a macron ( m ̄) is a labial-velar nasal ; while the simple n stands for the common alveolar nasal, an n with macron ( n ̄) represents the velar nasal ; the vowel ē stands for a ( short ) higher by contrast with plain e ; likewise ō contrasts with plain o.

Thus, in the very large cases, the HTSC cost can not be offset by simply reducing the coil size at a higher magnetic field.

Thus, from the war of nature, from famine and death, the most exalted object which we are capable of conceiving, namely, the production of the higher animals, directly follows.

Thus younger stars will tend to have a higher portion of heavy elements in their atmospheres than do the older stars.

Thus, the scale and dimensions of the on-screen display in programs such as MacWrite and MacPaint were easily translated to the printed output — if the paper were held up to the screen, the printed image would be the same size as the on screen image, but at a higher resolution.

Thus, power output of a Wankel engine is generally higher than that of a four-stroke piston engine of similar engine displacement in a similar state of tune ; and higher than that of a four-stroke piston engine of similar physical dimensions and weight.

Thus, higher elevations, such as mountains, are colder than surrounding lowlands.

Thus, when the device is forward biased, with the p-side at higher electric potential, the diode conducts current easily ; but the current is very small when the diode is reverse biased.

Thus, if the pair is subsequently reused to support applications that require higher frequencies ( such as analog or digital carrier systems or DSL ), any loading coils that were present on the line must be removed or replaced with one which is transparent to DSL.

Thus, a circuit with a low power factor will use higher currents to transfer a given quantity of real power than a circuit with a high power factor.

Thus it was possible to shoot lighter projectiles with higher velocities over a longer distance.

Thus a 1000-watt instrument at 50 percent power will emit a higher percentage of orange light than a 500-watt instrument operating at full power.

Thus, it was not necessarily gun possession that caused an increased risk of assault ; rather, a pre-existing higher risk of assault increased the likelihood of victim gun possession.

Thus, the thread often has a higher space cost than bytecodes.

Thus firms in more concentrated industries will earn higher profits than firms operating in less concentrated industries, irrespective of their efficiency.

Thus, sumo wrestlers are very specialized fighters who train to win their bouts using good technique, as this is their only means of gaining better privileges in their stables and higher salaries.