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Thus and halting
Thus, the halting problem would be solved for.
'" Thus, the halting of the Akitu may have been done by the king's command rather an inability on the part of Belshazzar.
Thus the halting problem is many-one complete.
Thus Germany was left with no option but to preemptively invade Poland, thereby halting the alleged Polish plans to invade Germany.
Thus, if we had a decider R for E, we would be able to produce a decider S for the halting problem H ( M, w ) for any machine M and input w. Since we know that such an S cannot exist, it follows that the language E is also undecidable.
Thus, a necessary but insufficient condition for a machine to be computationally universal, is that the machine's halting problem be Turing-complete for the set of recursively enumerable sets.

Thus and problem
Thus the lack of effective recognition of the responsibilities involved in caring for two babies showed signs of becoming a disabling problem.
Thus, the Commission acted with a sense of social responsibility within the area of its own convictions about the problem of government support to private education.
Thus when Premier Khrushchev intimated even before inauguration that he hoped for an early meeting with the new President, Mr. Kennedy was confronted with a delicate problem.
" Thus Ambrose refused to be drawn into a false conflict over which particular local church had the " right " liturgical form where there was no substantial problem.
Thus, the universe would have been even more special before the thermalization than after .” The problem of specific or “ fine-tuned ” initial conditions would not have been solved ; it would have gotten worse.
Thus, according to Lutz, doublespeak is a form of language that defeats the purpose of inventing language because doublespeak does not communicate the truth but seeks to do the opposite and the doublespeak committee is tasked with correcting this problem that doublespeak has created in the world of language.
Thus far, pyrethroid resistance in Anopheles has not been a major problem.
Thus, in such systems, the Demiurge acts as a solution to the problem of evil.
In a digital implementation, the number of computations performed per sample is proportional to N. Thus the mathematical problem is to obtain the best approximation ( in some sense ) to the desired response using a smaller N, as we shall now illustrate.
Thus, in such systems, the Demiurge acts as a solution to the problem of evil.
Thus, both versions of the problem are of similar difficulty.
Thus, Alice seems to face an impossible problem.
Thus we placed our energies at the disposal of the revolution, of the proletariat and its struggles, and defined our attitude towards the colonial problem, and hence towards the colour question.
Thus, Lezek took him to a local hiring fair, hoping that Mort would land an apprenticeship with some tradesman ; not only would this provide a job for his son, but it would also make his son's propensity towards thinking someone else's problem.
Thus the Augustinian theodicist would argue that the problem of evil and suffering is void because God did not create evil ; it was man who chose to deviate from the path of perfect goodness.
Thus, the behaviorist closes the conceptual gap between behavior and mentality which is responsible for the epistemological problem.
Thus, although they would admit from the problem of pretense, that at no one time can we claim to have access to another's mental state, they are not permanently unavailable to us.
Thus one can speak unambiguously of the decidability of the word problem for the finitely generated group G.
Thus " weapons grade plutonium mines " would be a problem for the very far future (> 9, 000 years from now ), so that there remains a great deal of time for technology to advance to solve it.
Thus it appears to be as secure as other encryption technologies tied to the factorization problem, such as RSA encryption.
That word came from imbarrare, " to block " or " to bar ", which is a combination of in -, " in ", with barra, " bar " ( from the Vulgar Latin barra, which is of unknown origin ).< sup > 11 </ sup > The problem with this theory is that the first known usage of the word in Italian was by Bernardo Davanzati ( 1529 – 1606 ), long after the word had entered Spanish .< sup > 12 </ sup > Thus, modern scholars believe that the Italian word actually came from the Spanish one .< sup > 13 </ sup >
Thus, in order to solve this unsettled problem, there have been numerous experiments such as photoelectron spectroscopy, NMR, specific heat measurement, etc.
Thus, an external cost may pose an ethical or political problem.
Thus, in 1830, < span lang =" fr "> Charles X </ span > faced a significant problem.

Thus and is
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
Thus jazz is transmuted into something holy, the sacred road to integration of being.
Thus the fictional detective is much more than a simple businessman.
Thus the cocktail party would appear to be the ideal system, but there is one weakness.
Thus in both types attention is focused on the community itself, and its phenomenological life.
Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.
Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.
Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.
Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.
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 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 copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.
Thus there is a clearer division of authority, administrative and legislative.
Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.
Thus, the need for the B-70 as a strategic weapon system is doubtful.
Thus technical efficiency is achieved at the expense of actual experience.
Thus, there is an added incentive to stay on the job.
Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.
Thus T is not diagonalizable.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.
Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.
Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.
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 Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

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