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, the Agriculture in the district by and large depends on rainfall distribution.

Thus, for a given watershed, there can be many unit hydrographs, each one corresponding to a different duration of effective rainfall.

Thus, for example, fumaroles from the Laguna Caliente crater of Poás Volcano create extremely high amounts of acid rain and fog, with acidity as high as a pH of 2, clearing an area of any vegetation and frequently causing irritation to the eyes and lungs of inhabitants in nearby settlements.

" Thus, a practice that the police " should know is reasonably likely to evoke an incriminating response from a suspect ... amounts to interrogation ".

Thus it broadens the range of sign systems and sign relations, and extends the definition of language in what amounts to its widest analogical or metaphorical sense.

Thus, they tended to disperse large amounts of unused fissile material, and the fission products, which are on average much more dangerous, in the form of nuclear fallout.

Thus, saving could exceed investment for significant amounts of time, causing a general glut and a recession.

Thus while defenders argue that the three-prong test embodies the maxim that " opportunity drives interest ", critics argue that the three-prong test goes beyond Title IX original purpose of preventing discrimination, and instead amounts to an exercise in which athletic opportunities are taken away from male students and given to female students, despite the comparatively lower interest levels of those female students.

Thus, if leadership amounts to getting the greatest number of followers, then among the bonobos, a female almost always exerts the strongest and most effective leadership.

Thus it is frequently used with numbers higher than one ( two cats, 101 dogs, four and a half hours ) and for unspecified amounts of countable things ( some men, several cakes, how many lumps ?, birds have feathers ).

Thus low amounts of Mg lead to a decrease in photosynthetic and enzymatic activity within the plants.

" Thus, illogically ," he wrote, " men have in their accepted worldviews various amounts of that which is ours.

Thus, any small remaining amounts of nutrients are washed away.

Thus, there are no " 100-dollar stores " where all items sell for $ 100 ; consumers expect to pay the correct amount, as inaccuracies result in significant dollar amounts.

Thus, it is believed that the ears were covered by substantial amounts of hair and not the helmet-mask itself.

Thus, rather than giving a set amount of time in which to make a move, each player's set of 3 timers all have variable amounts of time remaining in which they can be moved, and that time changes whenever a move is made.

Thus the getter removes small amounts of gas from the evacuated space.

Thus, olivine-plagioclase phyric basalt contains > 10 % phenocrysts, the dominant phenocryst being olivine, with lesser amounts of plagioclase.

Thus, while women retained a dominant role in the historiography of the salons, the salons received increasing amounts of study, much of it in direct response to, or heavily influenced by Habermas ’ theory.

Thus, products made from this type of flour contain smaller amounts of fiber than those made with whole wheat flour.

Thus when the engine runs at low power, there is enough oxygen present to burn the fuel, and diesel engines only make significant amounts of carbon monoxide when running under a load.

Thus, in two dimensions, the level set method amounts to representing a closed curve ( such as the shape boundary in our example ) using an auxiliary function, called the level set function.

Thus, the pitch wheel on a MIDI keyboard may generate large amounts of data which can lead to a slowdown of data throughput.

Thus, in spite of their victories, the Ukrainian forces were unable to obtain significant amounts of arms and ammunition.

Thus, its iteration orbit, or flow, under suitable provisions ( e. g., f '( 0 ) ≠ 1 ), amounts to the conjugate of the orbit of the monomial, Ψ < sup >− 1 </ sup >( f '( 0 )< sup > n </ sup > Ψ ( x )), where n in this expression serves as a plain exponent.