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Thus, he wrote: " if 0 is interpreted as falsehood, 1 as truth, and other numbers in the interval 0-1 as the degrees of probability corresponding to various possibilities, a many-valued logic is obtained which is expansion of three-valued logic and differs from the latter in certain details.
Some Related Sentences
Thus and wrote
Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.
Isaac Newton wrote of the earth, "“ Thus this Earth resembles a great animall or rather inanimate vegetable, draws in æthereall breath for its dayly refreshment & vitall ferment & transpires again with gross exhalations, And according to the condition of all other things living ought to have its times of beginning youth old age & perishing .”
Thus, when Thomas Young, foreign secretary of the Royal Society of London, wrote to him about the stone in 1814, Silvestre de Sacy suggested in reply that in attempting to read the hieroglyphic text, Young might look for cartouches that ought to contain Greek names and try to identify phonetic characters in them.
Thus, as Time magazine wrote during the controversial tenure of Vice President Charles G. Dawes, " once in four years the Vice President can make a little speech, and then he is done.
The Georgian writer Grigol Robakidze wrote in his 1918 essay on Tamar: " Thus far, nobody knows where Tamar's grave is.
Thus, Henri Rochefort wrote a piece in " L ' Intransigeant ", claiming Zola had committed suicide, having discovered Dreyfus to be in fact guilty.
Thus, in 1948 Virginia Heyer wrote, " Cultural relativity, to phrase it in starkest abstraction, states the relativity of the part to the whole.
Thus, they wrote in a very metaphorical and suggestive manner, endowing particular images or objects with symbolic meaning.
Thus he taught himself how to play cello, guitar, the piano and other instruments, wrote lyrics and poetry and later also assumed jobs as actor in some movies and TV shows or at the theatre.
He did not pose for a photograph in his senior yearbook, but in his class statement he wrote, " Sic semper tyrannis " ( Thus always to tyrants ).
Thus August Reichensperger wrote in 1852, “ Even Lübeck, once the proud head of the Hanseatic League, does not seem able to endure the reflection of its former glory.
Thus, the folklorist Anatole Le Braz gives a detailed account of one ballad singer, Yann Ar Minouz, who wrote and performed songs traveling through Brittany in the late nineteenth century and selling printed versions.
" Thus, illogically ," he wrote, " men have in their accepted worldviews various amounts of that which is ours.
Thus, Johann Heinrich Zedler in 1741 wrote that " even though Europe is the smallest of the world's four continents, it has for various reasons a position that places it before all others ... its inhabitants have excellent customs, they are courteous and erudite in both sciences and crafts.
Latin American writer Giannina Braschi wrote the philosophical novel " United States of Banana " based on Walter Kaufman's translation of " Thus Spoke Zarathustra "; in it, Zarathustra and Hamlet philosophize about the liberty of modern man in a capitalist society.
Thus, early knowledge of lenses and the availability of lenses for spectacles from the 13th century onwards through the 16th century means that it was possible for many individuals to discover the principles of a telescope using a combination of concave or concave and convex lenses ; in the 13th century, Robert Grosseteste wrote several scientific treatises between 1230 and 1235, including De Iride ( Concerning the Rainbow ), in which he said:
Thus, in the letter that he wrote to Reynolds, Keats also included a note saying that he abandoned his long poem.
Thus, he claims in his memoirs that the USSR had become " a raw material appendage to Bulgaria ," something obliquely confirmed by Gorbachev when he wrote in his memoirs that " Bulgaria was a country which had lived beyond its means for a long time.
Thus and if
Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.
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 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, 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.
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, 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 and 0
" 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, 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.
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 an hour was 144 conventional minutes ( more than twice as long as a conventional hour ), a minute was 86. 4 conventional seconds ( 44 % longer than a conventional minute ), and a second was 0. 864 conventional seconds ( 13. 6 % shorter than a conventional second ).
#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.
Thus the set of all polynomials with coefficients in the ring R forms itself a ring, the ring of polynomials over R, which is denoted by R. The map from R to R sending r to rX < sup > 0 </ sup > is an injective homomorphism of rings, by which R is viewed as a subring of R. If R is commutative, then R is an algebra over R.
e. g. The square-free number 42 has factorisation 2 × 3 × 7, or as an infinite product: 2 < sup > 1 </ sup > · 3 < sup > 1 </ sup > · 5 < sup > 0 </ sup > · 7 < sup > 1 </ sup > · 11 < sup > 0 </ sup > · 13 < sup > 0 </ sup > · ...; Thus the number 42 may be encoded as the binary sequence < tt >... 001011 </ tt > or 11 decimal.
Thus the bound vector represented by ( 1, 0, 0 ) is a vector of unit length pointing from the origin along the positive x-axis.
Thus, the RF bandwidth of a signal ( measured from the lowest frequency as opposed to 0 Hz ) is twice its baseband bandwidth.
Thus, if a " 1 " is represented by one transition, then a " 0 " is represented by two transitions and vice versa, making Differential Manchester a form of frequency shift keying.
Thus, the maximum frequency deviation is </ br > < big > = 0. 25 f < sub > m </ sub >, </ big ></ br > where f < sub > m </ sub > is the maximum modulating frequency.
Thus, if a person owns 100 shares and the cash dividend is USD $ 0. 50 per share, the holder of the stock will be paid USD $ 50.
Thus, in the example, if Lloyds TSB are trading at 411p, then for every day I keep the bet open I am charged finance cost to be 7 % (( 411p x 10 ) * 7 % / 365 ) = £ 0. 78821 ( or 78. 8p )
Thus, the definition of T < sub > 3 </ sub > may cite T < sub > 0 </ sub >, T < sub > 1 </ sub >, or T < sub > 2½ </ sub > instead of T < sub > 2 </ sub > ( Hausdorffness ); all are equivalent in the context of regular spaces.