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Some Related Sentences

Thus and pencils
Thus, economists can predict that a spike in the cost of a particular brand of detergent will likely result in a large change in demand for other brands, whereas a change in the price of pencils will have a much smaller effect on the demand for pens.

Thus and Q
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, 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 Q is implied by the premises.
Thus, every MUMPS command or function name could be abbreviated from one to three letters in length, e. g. Quit ( exit program ) as Q, $ P
Two computers P and Q are called Turing equivalent if P can simulate Q and Q can simulate P. Thus, a Turing-complete system is one that can simulate a Turing machine ; and, per the Church-Turing thesis, that any real-world computer can be simulated by a Turing machine, it is Turing equivalent to a Turing machine.
Thus, a high Q tuned circuit in a radio receiver would be more difficult to tune, but would have greater selectivity, it would do a better job of filtering out signals from other stations that lie nearby on the spectrum.
Thus the queen's file is named " Q " and the king's file is named " K ".
Thus, the two substrates of this enzyme are dihydroquinone ( QH2 ) and ferri-( Fe < sup > 3 +</ sup >) cytochrome c, whereas its 3 products are quinone ( Q ), ferro-( Fe < sup > 2 +</ sup >) cytochrome c, and H < sup >+</ sup >.
Q containing these elements contains all the roots of p. Thus
Thus the intuitive reading of a Hoare triple is: Whenever P holds of the state before the execution of C, then Q will hold afterwards, or C does not terminate.
Thus, a high Q tuned circuit in a radio receiver would be more difficult to tune, but would have more selectivity ; it would do a better job of filtering out signals from other stations that lie nearby on the spectrum.
Thus, an animal can swim ( Q ), or it is not a bear (¬ P ).
Thus g preserves labels if g lies in SL < sub > n </ sub >( Q < sub > p </ sub >).
Thus, " Q: 2. 7073 " next to the Labor Party list indicates that the Labor candidates between them polled 2. 7073 quotas.
Thus, the ring of integers of Q (√ d ) is a principal ideal domain ( and hence a unique factorization domain ) if and only if the class number of Q (√ d ) is equal to 1.
Thus, it is a vector space over Q and so there exists a set I such that
Thus the columns of Q are the eigenvectors.
The sum of A and B is obtained by first finding the intersection point of line AB with MP, which is M. Next A and B add up to the second intersection point of the cone with line EM, which is D. Thus if Q is the second intersection point of the cone with line EN, then
Thus λ is a root of the characteristic polynomial for Q,

Thus and are
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, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.
Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.
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 there are polynomials Af such that Af.
Thus the Af are projections which correspond to some direct-sum decomposition of the space V.
Thus it follows that the secants of **zg are all invariant.
Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.
Thus the first lines of one of Charles Wesley's hymns are as follows.
Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.
Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;
Thus, the white middle and lower classes are arrayed against the Negro middle and lower classes.
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, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.
Thus, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.
Thus, the most productive areas are not necessarily the most stressed.
Thus a number of operations of the order of Af are required.
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, in `` The Story Of Ruth '' we have Ruth, Naomi, and Boaz and sets that are meticulously authentic.
" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.
Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

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