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 we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus shielded, we played many foolish games in comfortable unselfconsciousness ; ;

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus we will have a society consisting of the planners or conditioners, and the controlled.

Thus, we might provide limited assistance in such fields as education, essential transport, communications, and agricultural improvement despite the absence of acceptable country programs.

Thus, we have no part, and want none, in current discussions of the relative importance of science, the social studies, the humanities, the creative arts.

Thus we enter 1961 in a strong financial position.

Thus, for aqueous media, we can think of the idealized organic active as an oleophilic or hydrophobic surface-active agent, and of an idealized builder as a oleophobic or hydrophilic surface-active agent.

Thus we see that Af and Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

Thus we obtain g{t} by introducing an oblique g{t}-axis in the Aj.

Thus, in `` The Story Of Ruth '' we have Ruth, Naomi, and Boaz and sets that are meticulously authentic.

Thus we hear of abbots going out to hunt, with their men carrying bows and arrows ; keeping horses, dogs and huntsmen ; and special mention is made of an abbot of Leicester, c. 1360, who was the most skilled of all the nobility in hare hunting.

Thus we have the De officiis ministrorum, De viduis, De virginitate and De paenitentia.

Thus we were spared the affliction of his absence and the triumph of suffering for his principles.

Thus we have the story of his riding across a stick ( horse made of stick ) with his children and upon being discovered by a friend desiring that he not mention till he himself were the father of children ; and because of the affection of his son Archidamus ' for Cleonymus, he saved Sphodrias, Cleonymus ' father, from execution for his incursion into the Piraeus, and dishonorable retreat, in 378 BC.

This latter construal is sometimes expressed by saying " there is no fact of the matter as to whether or not P ." Thus, we may speak of anti-realism with respect to other minds, the past, the future, universals, mathematical entities ( such as natural numbers ), moral categories, the material world, or even thought.

Thus, intuitionists are ready to accept a statement of the form " P or Q " as true only if we can prove P or if we can prove Q:

Thus, in Steiner's view, we can overcome the subject-object divide through inner activity, even though all human experience begins by being conditioned by it.

Thus, current expected inflation reflects a weighted average of all past inflation, where the weights get smaller and smaller as we move further in the past.

Thus, Blackwood will not tell you what you want to know: Are we at risk of losing the first two tricks?

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

The media, in an attempt to explain the ideology of Ayatollah Khomeini and the Iranian Revolution to a Western audience described it as a " fundamentalist version of Islam " by way of analogy to the Christian fundamentalist movement in the U. S. Thus was born the term " Islamic fundamentalist ", which would come to be one of the most common usages of the term in the following years.

Thus, there was a short-lived eleventh century attempt to re-establish an independent Galatia by native Galatians whose aristocracy and people appealed to Anglo-Saxon and Russo-Norman mercenaries of the Byzantine Varangian Guard and Frankish Crusaders alike in establishing a new kingdom.

" Thus irreal works such as Italo Calvino's Cosmicomics and Jorge Luis Borges ' Ficciones can be seen as an attempt to find a new allegorical language to explain our changed perceptions of the world that have been brought about by our scientific and technical culture, especially concepts such as quantum physics or the theory of relativity.

Thus the first attempt at colonization by the Dutch ended badly.

" Thus, one does not find in his work a theoretical attempt to discern what constitutes a major work or a work of art, or even handicraft.

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

Thus, strategy becomes important as players attempt to predict each others ' moves, similar to rock-paper-scissors.

Thus, according to Rubin, " the story of the single polytheist who raised a handful of dirt to his forehead … … attempt of an old disabled man to participate in Muhammad's sūjud … in … a sarcastic act of an enemy of Muhammad wishing to dishonor the Islamic prayer ".

Thus, Lucentio and Hortensio, pretending to be the teachers Cambio and Litio, attempt to woo Bianca unbeknownst to her father, and to one another.

Thus, the differences in the Septuagint are no longer considered the result of a poor or tendentious attempt to translate the Hebrew into the Greek ; rather they testify to a different pre-Christian form of the Hebrew text ".

Thus, the overreaction to Hershel Grynszpan's attempt against the diplomat Ernst vom Rath came into being and led to the November pogrom. The background of the pogrom was signified by a sharp cleavage of interests between the different agencies of party and state.

Thus, players who hold weak poker hands attempt to convince other players at the table that they are strong: staring down an opponent, throwing chips down forcefully into the pot in an effort to discourage others from calling.

Thus the attempt failed.

Thus another distinguishing feature of honing theory is that the creative process reflects the natural tendency of a worldview to attempt to resolve dissonance and seek internal consistency amongst its components, whether they be ideas, attitudes, or bits of knowledge ; it mends itself as does a body when it has been injured.

" Thus the record is best seen as a time capsule or a symbolic statement more than a serious attempt to communicate with extraterrestrial life.

Thus, the attempt to maintain a given surface temperature in an environment of faster heat loss results in both the perception of lower temperatures and an actual greater heat loss increasing the risk of adverse effects such as frostbite, hypothermia, and death.

Thus, the planck mass is an attempt to absorb the gravitational coupling constant into the unit of mass ( and those of distance / time as well ), as the planck charge does for the fine-structure constant ; naturally it is impossible to truly set either of these dimensionless numbers to zero.

Thus John's attempt to subject the Ditmarsian free peasants to feudalism ended for time being.

The Common translation, which improved on Alexander Tille's earlier attempt, remained widely accepted until the more critical translations, titled Thus Spoke Zarathustra, separately by R. J. Hollingdale and Walter Kaufmann, which are considered to convey more accurately the German text than the Common version.

Thus, in a dialogue, each person does not attempt to make common certain ideas or items of information that are already known to him.

Thus far, Hellmut Federhofer's Heinrich Schenker ( 1985 ; see the Bibliography ) is the only book to attempt a general biography.

Thus, although life estates in real estate are still created today, the life estate is more commonly used in trust instruments, typically in an attempt to minimize the effect of the inheritance tax or other taxes on transfers of wealth.

Thus, if we attempt to understand why things are as they are, and what general categories can be used to understand various particulars around us, without reference to any forms ( universals ) we will fail completely.