Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Af if and only if Af.

Thus F satisfies Af if and only if F has the form Af.

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, if public pressure sets the effective limit to the price that the industry may charge, this pressure is itself a function of the wage rate.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

Thus, if one accelerometer is properly aligned, the other is also.

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, red wine must, if possible, never be disturbed or shaken ; ;

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 most Affidavits now require to be Apostilled if used for cross border issues.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

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, a court officer taking possession of goods under a court order may use force if reasonably necessary.

Thus, there is no assault if an ox gores a man.

Thus, if P is a program in L < sub > 2 </ sub > which is a minimal description of s, then InterpretLanguage ( P ) returns the string s. The length of this description of s is the sum of

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, Walsh modified the vertical passing scheme he had learned during his time with the Raiders, designing a horizontal passing system that relied on quick, short throws-often spreading the ball across the entire width of the field.

Thus this dependency-based parse tree acknowledges the subject noun John and the object noun phrase the ball as constituents just like the constituency-based parse tree does.

Thus if a baserunner running from third base crosses home plate with two out before a batter is put out on a ground out or before a fly ball is caught after two outs, then the run that would otherwise score is null ; likewise, if a conventional double play is made with one out on a ground ball involving forces at other bases, the run that would otherwise score before the third out is registered is void.

Thus, the objective is to send the ball or puck between the goal posts, under the crossbar, and across the goal line.

Thus the kicker may play the ball a second time only if the ball rebounds off the keeper, not if the ball rebounds directly off the goal frame without having touched another player.

Thus, it is often played in an indirect manner ; that is, the player plays somewhat away from the target and then allows contours to direct the golf ball to its final resting point.

Thus the fastball falls less than a ball thrown without spin ( neglecting knuckleball effects ) during the 60 feet 6 inches it travels to home plate.

Thus, in principle, the ball contacts each race at a single point.

Thus, the contact between ball and race is of finite size and has finite pressure.

Thus, there are opposing forces and sliding motions at each ball / race contact.

Thus, a ball without sufficient energy to surmount the hill would roll back down.

Thus the kicking team generally attempts to make the ball bounce early and be available around 10 yards in front of the spot of the kick.

Thus, the mass of the cannon balls and, consequently, of the ordnance too continually increased, finally culminating in giant cannon like the Pumhart von Steyr which fired a 690 kg ball.

Thus the ball follows a curved path over the ground, not a diagonal, and strikes to the east, or right, of the target at G.

Thus, the ball often remains alive even after playing action ends.

Thus it is important for players to always know whether the ball is alive.

Thus, a player on the receiving team could attempt to advance the ball out of his own end zone, but the original impetus from the kick remains as long as the ball does not completely cross the goal line into the field of play.

Thus, any batted ball that touches those bases must necessarily be in fair territory.

Thus, a batted ball that passes over the outfield wall in flight and touches the foul pole is a fair ball and the batter is awarded a home run.

Before them stalked the beadle, proclaiming as he went, `` Thus the Council deals with those who break its laws -- adulterers, thieves, murderers, and lewd persons.

Thus in A v United Kingdom, the Court dismissed a claim that a derogation lodged by the British government in response to the September 11 attacks was invalid, but went on to find that measures taken by the United Kingdom under that derogation were disproportionate .< ref >

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, Higher Superstition was an attempt to challenge purportedly uncritical subjectivist thought, the validity of which otherwise went largely uncriticized.

Thus the ancient Rabbis went to great lengths to try and account for the number of the names of God, by claiming that they account for the various aspects of God.

Thus, the income from occupied nations was over 40 percent of the income Germany collected from taxation, a figure which increased to nearly 40 percent of total German income as the war went on.

Thus, when the hostilities finally ceased in 1648 with the Treaty of Westphalia, most of Alsace went to France with some towns remaining independent.

Thus from 1933 on, I went every year to America.

" Thus more embassies were dispatched to Anxi, Yancai later joined the Alans, Lijian under the Seleucids, Tiaozhi, and Tianzhu India … As a rule, rather more than ten such missions went forward in the course of a year, and at the least five or six.

Strauss went on to write a series of increasingly ambitious tone poems: Death and Transfiguration ( 1889 ), Till Eulenspiegel's Merry Pranks ( 1895 ), Thus Spoke Zarathustra ( 1896 ), Don Quixote ( 1897 ), A Hero's Life ( 1898 ), Symphonia Domestica ( 1903 ) and An Alpine Symphony ( 1911 – 1915 ).

Thus, if the player went far out of play, he was in the " popcorn machine.

Thus emboldened, he went to DC, and after getting savaged by Joe Orlando, got in to see art director Vinnie Colletta, who recognized talent and arranged for him to get a one-page war-comic job ".

Thus in a short time Charles's own cabinet, the Cabal Ministry, went over to the " Dutch " peace party ; Lord Shaftesbury, much shocked by the revelation, even beginning to consider driving out the troublesome House of Stuart entirely and inducing his secretary, John Locke, to further develop the legal concepts which would later be the basis of the Two Treatises of Government, which justified the Glorious Revolution of 1688.

Thus, all the tickets went to nonresidents without the police having to be selective since no locals would be at the light.

Thus he in 1812 went to Cairo with the intention of joining a caravan to Fezzan, in Libya.

Thus, the 5 schilling coins went from an aluminium composition to a silver one, a highly unusual event made possible by the substantial improvement of the Austrian economy in the 1950s.

Thus, he went on to serve as an officer, in the wars of the Diadochi, under his brother-in-law Demetrius Poliorcetes who married Deidamia.

Thus, the southern portion of Selkirk's grant went to the United States.

Thus, her musical career went into a rapid decline, and the $ 139, 000 in settlement money was systematically depleted by the Chapmans ' management agency, Talent Management, Inc.

Thus, high illiteracy rates went hand in hand with the absence of universal suffrage by secret ballot and one demand for a free press, independent from the then dominant economic influence.

Thus, he went to Prague alone but for his suite and favourite attendant, Giuliano Dami.

Thus Grantham's team, with him as a starter throughout, went from being the worst team in an upstart league ( the AFL ) to World Champions in just nine years.

Thus was Dong Zhuo's life spared and the three brothers went their own way.

Thus, when Greece went to war in the Greco-Turkish War in 1897, the Hellenic Navy established its dominance in the Aegean Sea, however, it was unable to change the outcome of the war on land, which was a national humiliation.