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, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus in Prokofieff the Union of Soviet Socialist Republics produced one of the great composers of the Twentieth Century.

Thus it was that Barco, apprehended for mere larceny, now began to suspect that one or another of his murders had been uncovered.

Thus, a low intensity of hypothalamic-cortical discharges prevails in sleep and a high one during wakefulness, resulting in synchronous EEG potentials in the former and asynchrony in the latter condition.

Thus, the writer decided to hold one experimental section of the functional preparation for marriage course in the spring semester of 1960 exclusively for persons already married -- that is, prerequisite: `` marriage ''.

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

Thus the first lines of one of Charles Wesley's hymns are as follows.

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 one line in five from The Iliad and The Odyssey is to be found somewhere else in the two poems.

Thus, when specifically permitted, the operand of a given line on the Autocoder coding sheet may be continued in the operand of from one to four additional lines which immediately follow.

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 there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, the planetary model of the atom was discarded in favor of one that described atomic orbital zones around the nucleus where a given electron is most likely to be observed.

Thus, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.

Thus arose the first monastic community, consisting of anchorites living each in his own little dwelling, united together under one superior.

Thus aesthetic judgments might be seen to be based on the senses, emotions, intellectual opinions, will, desires, culture, preferences, values, subconscious behavior, conscious decision, training, instinct, sociological institutions, or some complex combination of these, depending on exactly which theory one employs.

Thus, an analog signal is one represented by a continuous stream of data, in this case along an electrical circuit in the form of voltage, current or charge changes ( compare with digital signals below ).

Thus 6th century Gallo-Romans of Gregory's class, surrounded by the ruins of Roman temples and public buildings, attributed the destruction they saw to the plundering raids of the Alemanni.

Thus this class of molecules belong to the D < sub > 2d </ sub > point group.

Thus, courts will generally allow a class action in such a situation.

Thus, dialectical materialists tend to accord primacy to class struggle.

" Thus these two distinctions can be applied not only to class structure within society but denomination and racial segregation within religion.

Thus the learned and upper class religious churches who preach the theodicy of fortune, ultimately support capitalism and corporation, while the churches who adopted the theodicy of misfortune, instead preached equality and fairness.

Thus, the projected class struggle never took place.

Thus, Romania was created as a personal union, albeit a Romania that did not include Transylvania, where the upper class and the aristocracy remained mainly Hungarian, although Romanian nationalism inevitably ran up against Hungarian nationalism at the end of the 19th century.

Thus, not all sound deductive systems are complete in this special sense of completeness, in which the class of models ( up to isomorphism ) is restricted to the intended one.

Thus, amber mutants are an entire class of virus mutants that can grow in bacteria that contain amber suppressor mutations.

Thus, the weighted mean makes it possible to find the average student grade in the case where only the class means and the number of students in each class are available.

Thus the identifier " Model T " identifies the class ( model ) of automobiles that Ford's Model T comprises ; whereas the unique identifier " Model T Serial Number 159, 862 " identifies one specific member of that class — that is, one particular Model T car, owned by one specific person.

Thus in this case " unbounded " does not mean unbounded by itself but unbounded as subclass of the class of all ordinal numbers.

Thus a movement grew amongst the middle class Criollo and Mestizo classes.

He claimed that on top of individual exploitation, the capitalist also unjustly appropriates the additional value ( termed “ collective force ”) produced by co-operative activity as a “ force of one thousand men working twenty days has been paid the same wages that one would be paid for working fifty-five years ; but this force of one thousand has done in twenty days what a single man could not have accomplished, though he had laboured for a million centuries .” Thus the capitalist may have “ paid all the individual forces ” but “ the collective force still remains to be paid ” and which the capitalists “ enjoy unjustly .” Other notable anti-capitalist thinkers claim that the elite maintain wage slavery and a divided working class through their influence over the media and entertainment industry, educational institutions, unjust laws, nationalist and corporate propaganda, pressures and incentives to internalize values serviceable to the power structure, state violence, fear of unemployment and a historical legacy of exploitation and profit accumulation / transfer under prior systems, which shaped the development of economic theory:

Thus, some genetically-caused retinopathies are the result of one or more underlying ciliopathies, an emerging new class of human genetic disorders.

Thus, each instance of a sub-type entity class is also an instance of the entity class's super-type.

Thus, Trotsky argues, because a majority of the branches of industry in Russia were originated under the direct influence of government measures — sometimes with the help of government subsidies — the capitalist class was again tied to the ruling elite.