Thus the fictional detective is much more than a simple businessman.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus, this readiness to relax controls, evidenced in the Kohnstamm situation, appears to be a more general personality factor.

Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.

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

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, 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 although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, ocular albinism occurs more frequently in males as they have a single X and Y chromosome, unlike females, whose genetics are characterized by two X chromosomes.

Thus they could be used in place of the more expensive Athlon MP in dual socket A motherboards.

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

Thus, for high-energy neutrons beryllium is a neutron multiplier, releasing more neutrons than it absorbs.

Thus, negotiation generally features only in games for three or more people.

Thus, the theory asserts that the apple is no more than the collection of its properties.

Thus, a single " rule ," like mapping every real number x to x < sup > 2 </ sup >, can lead to distinct functions and, depending on whether the images under that rule are understood to be reals or, more restrictively, non-negative reals.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.

Thus, at a given angular rate of rotation, a concave surface represents the stable situation, and the more rapid the rotation, the more concave this surface.

Thus, under Elizabeth, a more permanent enforcement of the Reformed religion was undertaken, and the 1552 book was republished in 1559, scarcely altered.

Thus, if two species use the same codon at the same place to specify an amino acid that can be represented by more than one codon, that is evidence for a recent common ancestor.

Thus, the universe would have been even more special before the thermalization than after .” The problem of specific or “ fine-tuned ” initial conditions would not have been solved ; it would have gotten worse.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus, casework involving a limited number of interviews is still to be regarded in terms of the quality of service rendered rather than of the quantity of time expended.

Thus, one can think of a dictionary entry as a word rather than a form.

Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

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 such great American documentaries as The River and The Plow That Broke The Plains were composed as visual stories rather than as illustrated lectures.

Thus Aphrodite is of an older generation than Zeus.

Thus, the Kolmogorov complexity of the raw file encoding this bitmap is much less than 1. 62 million.

Thus, Cobb's totals may be even greater than is recorded.

Thus, it determines substancehood empirically by the togetherness of properties rather than by a bare particular or by any other non-empirical underlying strata.

Thus, in any use of biological weapons, it is highly likely that animals will become ill either simultaneously with, or perhaps earlier than humans.

Thus, it has been known for many years that, due to repulsive Coulombic interactions, electrically charged macromolecules in an aqueous environment can exhibit long-range crystal-like correlations with interparticle separation distances, often being considerably greater than the individual particle diameter.

Thus with the expansion of the universe, radiation becomes less dominant than matter.

Thus, a week of Beetle Bailey would arrive at the Lansing State Journal in two sheets, printed much larger than the final version and ready to be cut apart and fitted into the local comics page.

Thus, a heretic bearing the name of Sason (= Joy ) once remarked to him, " In the next world your people will have to draw water for me ; for thus it is written in the Bible ( Isaiah 12: 3 ), ' With joy shall ye draw water.

Thus, southern Germany once more became part of the Frankish kingdom, as had northern Germany during the first years of the reign.

Thus, if n < sub > r </ sub > is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be ( 1 + n < sub > r </ sub >), which is the actual reappearance factor added to the equation.

Now, all that lasts is the decaying shell of a once thriving dwelling .” Thus, without the decrepit backdrop to initiate the events, the Gothic Novel would not exist.

Thus, Christianity acquired an identity distinct from Rabbinic Judaism, but this distinction was not recognised all at once by the Roman Empire, see Split of early Christianity and Judaism for details.

Thus, seawater flow is eastward in the Strait's surface waters, and westward below ; once in the Atlantic, this chemically distinct Mediterranean Intermediate Water can persist thousands of kilometres away from its source.

Thus, they declined the chance to achieve their goals by peaceful means once democracy was restored.

Thus again becoming a self-refutation once again.

“ Thus we find them emerging at once in the eleventh century, in countries the most diverse, and the most remote from each other, in Italy, France, and even in the Harz districts in Germany .” Likewise, also, “ traces of Sabbath-keepers are found in the times of Gregory I, Gregory VII, and in the twelfth century in Lombardy .”

Thus by the beginning of the 1980s, skateboarding had once again declined in popularity.

Thus, as Time magazine wrote during the controversial tenure of Vice President Charles G. Dawes, " once in four years the Vice President can make a little speech, and then he is done.

Thus Lucretius states that once the vessel ( the body ) shatters ( dies ) its contents ( mind and spirit ) can no longer exist.

Thus, once we settle on any unitary representation of the gammas, it is final provided we transform the spinor according the unitary transformation that corresponds to the given Lorentz transformation.

Thus Offa's Dyke is a combined structure and Car Dyke is a trench though it once had raised banks as well.

Thus, there were once 31 stations in the Wuppertal area, including nine stations on the mainline.

Thus, Shawn is able to fool everyone once again.

Thus, Chamberlain had to make the best of a hopeless situation, writing fatalistically that ' I consider the Unionist cause is hopeless at the next election, and we shall certainly lose the majority of the Liberal Unionists once and for all.

Thus, what had once been a single town, Dartmouth, with a substantial land area, became, in less than 75 years, four separate municipalities.

Thus, the once new interstate which once hastened the town's exodus has breathed new life into the town since the new state road connects to either the northbound or southbound I-15 interchanges within a few miles in either direction and also greatly reduces the driving time to Fillmore, Utah, county seat and one-time territorial capitol.

Thus once again Württemberg became a direct fief of the Empire, securing its independence.

Thus Arthur, " the once and future king ," is an illegitimate child ( though the later legend emphasizes that the conception occurred after Gorlois ' death and that therefore he was legitimated by Uther's subsequent marriage to Igraine ).

Thus the sounds associated with analog synths became more prevalent once again.

Thus, physical disorders can be said to produce delirium as a mental side-effect or symptom, although primary mental disorders which produce the symptom cannot be put into this category once identified.

Thus the two zodiacs would be aligned only once every 26, 000 years and were aligned about 2, 000 years ago when the zodiac was originally established.