Thus methane has a potential of 25 over 100 years but 72 over 20 years ; conversely sulfur hexafluoride has a GWP of 22, 800 over 100 years but 16, 300 over 20 years ( IPCC TAR ).

Thus, Freon-12 indicates a methane derivative ( only two numbers ) containing two fluorine atoms ( the second 2 ) and no hydrogen ( 1-1 = 0 ).

Thus, the northern hemisphere would develop a large frozen methane cap during most of its year ; the southern hemisphere ( where most creatures live ) is protected from the sun's closest approach by the rest of the planet.

Thus, captive-hydrogen-mediated production of greenhouse-neutral methane has been proposed ( note that this is the reverse of the present method of acquiring hydrogen from natural methane, but one that does not require ultimate burning and release of fossil fuel carbon ).

Thus, the London Dispersion Forces between ethane molecules are higher than that between methane molecules, resulting in stronger forces of intermolecular attraction, raising the boiling point.

Thus a large negative void coefficient ensures that if the water boils or is lost the power output will drop.

Thus Trevelyan repeats the story which pictured Victor Emmanuel as refusing to abandon the famous Statuto at the insistence of General Radetzky.

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 technical efficiency is achieved at the expense of actual experience.

Thus, the larvae of the intruder can develop at the expense of the rightful inhabitants and the store of beebread.

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

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

Thus, in the aggregate, the odd-lot trader is one who buys at the tops and sells at the bottoms, notwithstanding occasional individual exceptions.

Thus, food so processed might reach more remote markets and permit the consumer to enjoy more produce at peak freshness and palatability.

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 a man who is butting a stone wall at the office may become unusually aggressive in bed -- the one place he can still be champion.

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, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

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, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.

Thus at the first Council of Constantinople, AD 448, 23 archimandrites or abbots sign, with 30 bishops.

Thus the chief magistrate of the republic at Genoa was called.

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 at Mobile the annual mean is 67 ° F ( 19 ° C ), the mean for the summer 81 ° F ( 27 ° C ), and for the winter 52 ° F ( 11 ° C ); and at Valley Head, in De Kalb county, the annual mean is 59 ° F ( 15 ° C ), the mean for the summer 75 ° F ( 24 ° C ), and for the winter 41 ° F ( 5 ° C ).

Thus throwing a rock at someone for the purpose of hitting him is a battery if the rock in fact strikes the person and is an assault if the rock misses.

Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.

Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.

Thus for instance the determinant of a matrix with integer coefficients will be an integer, and the matrix has an inverse with integer coefficients if and only if this determinant is 1 or − 1 ( these being the only invertible elements of the integers ).

Thus, r < sub > k </ sub > is smaller than its predecessor r < sub > k − 1 </ sub > for all k ≥ 0.

Thus in the upper block there are 2 < sup > n </ sup > − 3 codes available to the decoder that won't trigger an increase in code width.

Thus the encoder can generate 2 < sup > n </ sup > − 2 codes without triggering an increase in code width.

Thus there is a number x ≡ ( q − 1 )< sup >( p − 2 )</ sup > for which ( q − 1 )· x ≡ 1 ( mod p ), and therefore a number k for which ( q − 1 )· x − 1 = kp.

Thus 2 < sup >( q − 1 ) x </ sup >/ 2 < sup > kp </ sup >

Thus the initial assumption that p and q − 1 are relatively prime is untenable.

Thus a vacuum of 26 inHg gauge is equivalent to an absolute pressure of 30 inHg ( typical atmospheric pressure ) − 26 inHg = 4 inHg.

( Thus we consider something like the winding number of the orientation of the sides, where at every vertex the contribution is between − and winding.

Thus, p / q is the root of qx − p = 0.

Thus, F (− q ) has the same magnitude as F ( q ) but they have the opposite phase, i. e., φ ( q ) = − φ ( q )

Thus if n is a large even integer and m is a number between 3 and n / 2, then one might expect the probability of m and n − m simultaneously being prime to be.

This question has two fundamental physical units: time t and length, and three dimensional variables: distance D, time taken T, and velocity V. Thus there is 3 − 2 = 1 dimensionless quantity.

There are 3 fundamental physical units in this equation: time t, mass m, and length l, and 4 dimensional variables, T, M, L, and g. Thus we need only 4 − 3 = 1 dimensionless parameter, denoted π, and the model can be re-expressed as

Thus, in order to simply flip through the possible values for a 128-bit symmetric key ( ignoring doing the actual computing to check it ) would theoretically require 2 < sup > 128 </ sup > − 1 bit flips on a conventional processor.

Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).

Thus, negating one column if necessary, and noting that a 2 × 2 reflection diagonalizes to a + 1 and − 1, any orthogonal matrix can be brought to the form