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, in the Hindu schools, if a claim was made that could not be substantiated by appeal to the textual canon, it would be considered as ridiculous as a claim that the sky was green and, conversely, a claim which could not be substantiated via conventional means might still be justified through textual reference, differentiating this from the epistemology of modern science.

Thus the world would be seen as " what is among the ground and the sky ", and " Blissymbols " would be seen as " the writing tool to express the world ".

Thus the sky might be called naturalistically él-ker “ squall-vat ” ( Markús Skeggjason: Eiríksdrápa 3 ) or described in mythical terms as Ymis haus “ Ymir ’ s skull ” ( Arnórr jarlaskáld: Magnúsdrápa 19 ), referring to the idea that the sky was made out of the skull of the primeval giant Ymir.

Thus the observed radiation density ( the sky brightness of extragalactic background light ) can be independent of finiteness of the Universe.

Thus, if the sun is low in the sky, reflected light is mostly s-polarized.

Thus was the earth created, when it was formed by the Heart of Heaven, the Heart of Earth, as they are called who first made it fruitful, when the sky was in suspense, and the earth was submerged in the water.

Thus, a seed will sprout from the earth and grow upwards towards the sky – an intrinsically yang movement.

Thus Kazakh til ' language ' and kün ' day ' correspond to Tatar tel and kön, while Kazakh men ' I ', qol ' hand ', and kök ' sky ' are in Tatar min, qul, kük.

Thus while Tycho acknowledged that the daily rising and setting of the sun and stars could be explained by the Earth's rotation, as Copernicus had said, still such a fast motion could not belong to the earth, a body very heavy and dense and opaque, but rather belongs to the sky itself whose form and subtle and constant matter are better suited to a perpetual motion, however fast.

Thus Beta Crucis appears to the right of the constellation and Delta Crucis to the left, in mirror image of the way they actually appear in the sky ( and, coincidentally, the way they appear on the Brazilian coat of arms ).

Thus, east is red, north is white, west is black, south is yellow, sky is blue, earth is green and the center is clear ( Thompson 1965 ).

Thus, waves and small groups are strung out across the sky.

Thus, " the sky is blue " ( and all other actually true propositions ) is logically possible: there exists some logically coherent way for the world to be such that it is true, viz., the way that the world actually is.

Thus, one sees artists ’ renderings of tree trunks, leaves, sky and shadows from light shining through the branches throughout the building —“ justice under the trees .” The collages celebrate these lofty themes and the art of the Constitutional Court as well as the spirit of all involved in its creation.

Thus the event duration is determined by the time it takes the apparent motion of the lens in the sky to cover an angular distance.

" Thus, Ping and Pang begin to step away from each other, but before their duel begins, the sky darkens and rains down cats and dogs.

Thus the ebb and flow of a man's fortune depends on the paths in the sky of the planets.

Thus, four 1-degree resolution sky maps complete in right ascension and covering 20 degrees in declination are obtained every day at these frequencies.

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 Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus the image of man has suffered complete fragmentation in personal and spiritual qualities, and complete objectification in sub-human and quasi-mechanistic powers.

Thus earth has fallen to the center of the universe.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the government simultaneously undertook the vast burden of social security which had traditionally been privately discharged, and created a national scarcity which has engendered calamitous problems of social security.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus, the public-limit price is raised further by a given wage increase the longer it has been since the previous price increase.

Thus, a well-planned adobe wall of the appropriate thickness is very effective at controlling inside temperature through the wide daily fluctuations typical of desert climates, a factor which has contributed to its longevity as a building material.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus, if a two-dimensional array has rows and columns indexed from 1 to 10 and 1 to 20, respectively, then replacing B by B + c < sub > 1 </ sub >-− 3 c < sub > 1 </ sub > will cause them to be renumbered from 0 through 9 and 4 through 23, respectively.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, study of this Barnum / Forer effect has been mostly focused on the level of acceptance of fake horoscopes and fake astrological personality profiles.

Thus, it has a year 0, the years before that are designated with negative numbers and the years after that are designated with positive numbers.

Thus the " Aegean Area " has now come to mean the Archipelago with Crete and Cyprus, the Hellenic peninsula with the Ionian islands, and Western Anatolia.

Thus, most recipes that use bay leaves will recommend their removal after the cooking process has finished.

Thus he has him murdered.