Since the change to better nutrition, he feels he can report on improvements in health, though he considers the following statements observations and not scientific proof.

The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.

Since then the proof has gained wider acceptance, although doubts remain.

' In the second case, he cites an example that demonstrates ignorance of statistical principles in the lay press: ' Since no such proof is possible genetically modified food is harmless, the article in The New York Times was what is called a " bad rap " against the U. S. Department of Agriculture-a bad rap based on a junk-science belief that it's possible to prove a null hypothesis.

Since he was eleven years her elder, already married, and a Buddhist, May-ling's mother vehemently opposed the marriage between the two, but finally agreed after Chiang showed proof of his divorce and promised to convert to Christianity.

: proof: Since the algebra is closed under squaring, and it has but two dimensions, the non-real basis element u squares to an arbitrary linear combination of 1 and u:

Since the proof of the Lagrange inversion formula is a very short computation, it is worth reporting it here.

Since that date, proof of unbroken possession or use of any right made it unnecessary to establish the original grant under certain circumstances.

However, the more difficult proof of the converse ( see below ) makes use of the vector space structure: Since both of the factors are vector spaces over Q, the tensor product can be taken over Q.

Since God is absolutely self-sufficient ( a result from the cosmological " proof " of His existence ), all-knowing, and all-powerful, He is categorically free from any type of need and, consequently, He never does anything that is ridiculous, unwise, ugly, or evil.

Since the leaks, Statoil has stated that the oil has mostly dissolved, and there is not much proof of ecological harm.

Since the only known way to solve that problem is to factor the modulus, it is generally regarded that the difficulty of integer factorization provides a conditional security proof for the Blum Blum Shub algorithm.

Since this probability is an increasing function of p ( proof via coupling argument ), there must be a critical p ( denoted by p < sub > c </ sub >) below which the probability is always 0 and above which the probability is always 1.

Since, further, according to him the fulfilment of prophecy is the only valid proof of Christianity, he thus secretly aims a blow at Christianity as a revelation.

Since the prosecution at her trial did not meet their burden of proof, by today ’ s standards, it is impossible to know for sure whether she was guilty.

Since even a free person could not possibly have knowledge of their own freedom, we cannot use our failure to find a proof for freedom as evidence for a lack of it.

Since a defense is raised by the defendant in a direct attempt to avoid what would otherwise result in liability, the defendant typically holds the burden of proof.

Since God needs faith to exist, and this proof dispels the need for faith, this therefore causes God to vanish " in a puff of logic ".

Since this early work, sequent calculi ( also called Gentzen systems ) and the general concepts relating to them have been widely applied in the fields of proof theory, mathematical logic, and automated deduction.

Since formal proofs in proof theory are purely syntactic, the meaning of ( the derivation of ) a sequent is only given by the properties of the calculus that provides the actual rules of inference.

Since no such computer to fully evolve Autoverse life exists, Durham has to try to convince Maria that he is a wealthy Autoverse enthusiast interested in her evolvability results and looking for a proof of concept for a much larger system.

Since the Chinese troops at Mukden had put up such a poor resistance, he told Manchukuo Emperor Puyi that this was proof that the Chinese remained loyal to him.

Since proof of the writer's malicious intentions is hard to provide, proof that the writer knowingly published a falsehood was generally accepted as proof of malice, under the assumption that only a malicious person would knowingly publish a falsehood.

Since 1924, the building has been established as the Museum of the History of Science, with exhibitions including the scientific instruments given to Oxford University by Lewis Evans ( 1853 – 1930 ), amongst them the world's largest collection of astrolabes.

Since museums are records of the past, there is a growing display of recording devices in the Art and Ramona Evans Foyer.

Since 1972, in the Queens Bench court case Evans v. Hughes, the threat has to be believed to be real and imminent.

Since that time, over 8, 000 caddies have become Evans Scholars and attained college educations.

Since 1923, SFO has presented the U. S. debut of numerous artists, including Vladimir Atlantov, Inge Borkh, Boris Christoff, Marie Collier, Zdzisława Donat, Sir Geraint Evans, Mafalda Favero, Leyla Gencer, Tito Gobbi, Sena Jurinac, Mario del Monaco, Anna Netrebko, Birgit Nilsson, Leontyne Price, Margaret Price, Leonie Rysanek, Dame Elisabeth Schwarzkopf, Anja Silja, Giulietta Simionato, Ebe Stignani, Renata Tebaldi and Ingvar Wixell ; conductors Gerd Albrecht, Valery Gergiev, Sir Georg Solti and Silvio Varviso ; and directors Francis Ford Coppola, Harry Kupfer and Jean-Pierre Ponnelle.

Since Evans had only been convicted of the murder of his daughter, Roy Jenkins, Soskice's successor as Home Secretary, recommended a royal pardon for Evans, which was granted in October 1966.

Since 2001, Evans has served as editor-at-large of The Week Magazine and since 2005, he has been a contributor to The Guardian and BBC Radio 4.

Since 1999 Luann has been slowly aging from 15 to 16 years old at perhaps the rate of one Luann month per one reader year, though this opposes what Evans has said on his blog.

Since the late 19th century the Kern has been almost entirely diverted for irrigation, recharging aquifers and the California Aqueduct, although some water empties into Lake Webb and Lake Evans, two small lakes in a portion of the former Buena Vista Lakebed.

Since 1996, the team has been headed by Coach Kim Evans, a 1981 alumna, who has turned the program into one of the most competitive in the nation.

Since 13 December 2009, non-official referendums on Catalan independence are being carried out in 167 towns, villages and 5 Comarcal council covering more than 700, 000 citizens with 15, 000 volunteers, following the first one celebrated in Arenys de Munt on 13 September, 30 international observers have been accredited, like the MEPs ( Jill Evans from Plaid Cymru, Frieda Brepoels from Flanders, François Alfonsi from Corse and Oriol Junqueras from Catalonia ).

Since no scandal involving the Gloria Scott ever followed the odd message from Beddoes ( Evans ), and since neither Hudson nor Evans was ever heard from again, the Police believed Hudson had done away with Beddoes while Holmes believed that Evans had likely killed Hudson, believing that he had told all, when in fact he had not, and then fled with as much money as he could lay his hands on.

Since then, Evans competes on occasion as Blitzkrieg II.

Since 2007 the winner has been presented with the Ron Evans Medal and was first awarded in 1993.

Since its inception under Mr. Evans in 1988, the RCA and the spin-off Gold List have become a popular feature with readers as well as a powerful encomium in the travel industry.

Since then, the name has appeared in the game Trivial Pursuit ( the makers of the game fell for the hoax, and listed " Otto Titzling " as the " correct answer " to the question of who invented the brassiere ), the 1988 movie Beaches features a song by this name sung by Bette Midler, the comic strip Luann by Greg Evans, and has appeared in practice questions sent out to prospective teams by the BBC 2 show University Challenge.

Since electrical stimulation of the posterior hypothalamus produces the effects of wakefulness while stimulation of the anterior hypothalamus induces sleep, it may be said that the reactivity of the whole organism is altered by a change in the autonomic reactivity of the hypothalamus.

Since then, the RG series has introduced fixed bridge models, but Ibanez still produces the RGA series with an arched top to differentiate from the RG series. The arched top allows for added comfort while playing the guitar.

Since dextropropoxyphene produces relatively modest pain relief compared to other opioids but still produces severe respiratory depression at high doses, it is particularly dangerous when abused, as drug users may take dangerously high doses in an attempt to achieve narcotic effects.

Since this style of reactor produces high power without heavy castings to contain high pressures, it is well suited to spacecraft.

Since the 1980s, Johns produces paintings at four to five a year, sometimes not at all during a year.

Since neuropil is the location of most cortical synapses it is likely that the deterioration greatly affects processing and produces the symptoms schizophrenics exhibit.

Since it costs the Mint about five cents for each 25-cent piece it produces, the government made a profit whenever someone " bought " a coin and chose not to spend it.

Since 1933, The Quality Castings Company is headquartered in Orrville and produces gray and ductile iron castings.

Since then two more reactors have been built and the plant today produces about 10 % of Sweden's electricity.

Since an arbitrary rearrangement of the roots of the product form still produces the same polynomial, e. g.:

Since the modus operandi, or method of operating, of the symphatetic system is all-or-nothing, adrenaline secretion produces a wide array of symptoms at once-all of which are supposed to enhance your ability to fight or escape a dangerous scenario.

Since combining several slivers produces a very thick rope of cotton fibres, directly after being combined the slivers are separated into rovings.

Since then it has concentrated on the " emulation " side of things and still produces numerous " compilation " CDs and DVDs.

Since this is true whether the input is AC or DC, this circuit not only produces a DC output from an AC input, it can also provide what is sometimes called " reverse polarity protection ".

Since 1999 each bank has also been required to submit to an annual audit by an external accounting firm, which produces a confidential report to the bank and a summary statement for the bank's annual report.

Since according to Marx the source of capitalist profit is this surplus labor of the workers, and since in this theory only new, living labor produces profit, it would appear to be logical that enterprises with a low organic composition ( a higher proportion of capital spent on new living labor ) would have a higher rate of profit than enterprises with a high organic composition ( a higher proportion of capital spent on raw materials and means of production ).

Since 1971, the country with the highest feature output has been India, which produces a thousand films in more than twelve Indian languages each year.

Since the increase of hormones and chemicals produces a sort of trance-like state, the submissive starts to feel out-of-body, detached from reality, and as the high comes down, and the parasympathetic nervous system kicks in, a deep exhaustion, as well as incoherence.

Since the AM detector diode produces a DC voltage proportional to signal strength, this voltage can be fed back to earlier stages of the receiver to reduce gain.

Since the short-circuited rotor windings have small resistance, a small slip induces a large current in the rotor and produces large torque.

Since a lens can only be held in place by its edge, the center of a large lens sags due to gravity, distorting the images it produces.

Since a lens can only be held in place by its edge, the center of a large lens will sag due to gravity, distorting the image it produces.

Since the Maillard reaction produces water, further increases in water activity may inhibit Maillard reactions.