Thus the halting problem is an example of a recursively enumerable set, which is a set that can be enumerated by a Turing machine ( other terms for recursively enumerable include computably enumerable and semidecidable ).

'" 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 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 the cocktail party would appear to be the ideal system, but there is one weakness.

Thus, an enemy would probably use this weapon for attack on static population centers such as large cities.

Thus in independent voting, Af or 0.52 of the couples would agree.

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, for hydrogen chloride, the IUPAC name would be aqueous hydrogen chloride.

Thus, the MCC would not complete road construction.

Thus she, through whom salvation was being prepared for all people, would be the first to receive the promised fruit of salvation.

Thus, there was seen a need for a new law that would ensure the continuance of the succession following the death of the last legal heir under the Bill of Rights, being Princess Anne, guaranteeing the line of succession would continue in the Protestant line, and excluding any possible claims by the deposed James II or his son and daughter, James Francis Edward and Louisa Maria Teresa Stuart.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus, Abulafia in the 13th century assumed that the language spoken in Paradise had been different from Hebrew, and rejected the claim then current also among Christian authors, that a child left unexposed to linguistic stimulus would automatically begin to speak in Hebrew.

Thus there are alignments in all directions which would suggest there is little of astronomical significance, However, ethnohistorical records show that the various directions do have cosmological and astronomical significance with various points in the landscape being significant at different times of the year.

Thus, " Armageddon " would mean " Mountain of Assembly ," which Jordan says is " a reference to the assembly at Mount Sinai, and to its replacement, Mount Zion.

Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.

Thus, as with other proposed megafauna cryptids, climate and food supply issues would make such a creature's survival in reported habitats unlikely.

Thus, if the score was 3 – 2 with the bases loaded in the bottom of the ninth, and the batter smacked an " over the fence home run ", the game would end at 4 – 3, with the batter only allowed a double, and the runners officially stopped on 2nd and 3rd ( since they were not needed to win the game ).

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, a week of Beetle Bailey would arrive at the Lansing State Journal in two sheets, printed much larger than the final version and ready to be cut apart and fitted into the local comics page.

Thus criminal law grew out what 21st-century lawyers would call torts ; and, in real terms, many acts and omissions classified as crimes actually overlap with civil-law concepts.

Thus, a catalyst that could change the equilibrium would be a perpetual motion machine, a contradiction to the laws of thermodynamics.