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, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).

Thus, a Blackwood query by the player holding two quick losers in a side suit is a wild gamble, as it is still possible that the suit is not controlled by an Ace or a King.

Thus, while D-Cinema is a defined standard, though one that is still partly being framed by SMPTE as of 2007, E-Cinema may be anything, ranging from a DVD player connected to a consumer projector to something that approaches the quality of D-Cinema without conforming to some of the standards.

Thus the actual mathematics of mathematical games may not be apparent to the average player.

Thus, a player who bids three and takes either two or four tricks will lose one point.

" Thus, sabermetrics attempts to answer objective questions about baseball, such as " which player on the Red Sox contributed the most to the team's offense?

Thus a player could in theory simultaneously have as many as ten knights, ten bishops, ten rooks or nine queens on the board.

Thus a transition between positions can never result in a better evaluation for the moving player and a perfect move in a position would be a transition between positions that are equally evaluated.

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

Thus the time control " 20 minutes + 15 minutes byoyomi " on IGS means that after the initial 20 minutes of thinking time are over, a player is granted 15 additional minutes, which may be spent however he chooses.

Thus, other equipment, such as a VCR, DVD player, or video game console, which wishes to send a signal to such an old TV must replicate this process, in effect " faking " an over-the-air signal.

Thus, Patxi Ferreira from Salamanca and Biurrun, a Brazilian-born player who immigrated to the region at a young age, played for the club in the late 1980s.

Thus, the pitcher ( or pitchers ) cannot allow any hits, walks, hit batsmen, or any opposing player to reach base safely for any other reason: in short, " 27 up, 27 down ".

Thus, the player ’ s score is directly tied to the amount of time he has to play the game.

Thus, one player may open with a bid of 15 turns, the other player may counter with a bid of 14 turns, and the first player, more confident in his ability to escape in 13 rounds than in his ability to contain for 14, may bid 13 and take the king's side.

Thus, as the player character strengthens from gaining experience, they are encouraged to accept tasks that are commensurate with their improved abilities in order to advance.

Thus the three notes ( E, C and A ) are played in quick succession at relative ease to the player.

Thus when a team is down to a single player and the single player camps, team members may announce his location to the opposing team.

) Thus, turtling offers great short-term defensive advantage but cedes the initiative ; it can be seen as a suicidal or desperation tactic, or a hallmark of an inexperienced player.

Thus, Victor and Columbia began making flat records in America, with UK Gramophone and others continuing to do so outside America, leaving Edison as the only major player in the making of cylinders ( Columbia still made a limited number for a few years ), and Emile Berliner, the inventor of flat records, out of the business.

Thus, if a player discards a club and two diamonds, they have bid 3 + 0 + 0 = 3 tricks.

Thus, an investor may take a long straddle position if he thinks the market is highly volatile, but does not know in which direction it is going to move.

Thus the cell " thinks " it is producing a structural protein, but in fact produces a self-stimulatory growth signal.

Thus, it is only when the person experiences increasing stress that he or she thinks to go to some sort of trained professional for symptom relief.