The `` approximate '' is important, because even after the order of the work has been established by the chance method, the result is not inviolable.

As long as perception is seen as composed only of isolated sense data, most of the quality and interconnectedness of existence loses its objectivity, becomes an invention of consciousness, and the result is a philosophical scepticism.

and our loss of `` prestige '' abroad is the direct result.

But is that not like going to a chemistry laboratory and blindly pouring out liquids and powders from an array of bottles and then, after stirring, expecting a new wonder drug inevitably to result??

But is the result new barnsful of tested knowledge on the basis of which we can with confidence solve our domestic and international problems??

and it is surely clear that the first of these is the result of the way in which the individual's command of language interacts with the other two.

If disobeyed, the result is turmoil and chaos.

This was accordingly done, and the plight of the grateful Mrs. Morris was much relieved as a result of the generous loan, the amount of which is not known.

The other reason ( and the one with which I am here concerned ) is that one thus becomes inclined to inquire of any opinion, or change of opinion, whether it represents the wisdom of experience or is only the result of the difference between youth and age which is as inevitable as the all too obvious physical differences.

And when Vincent Berger returns to Europe, this first result of his encounters with mankind is considerably enriched and deepened by a crucial revelation.

What is in doubt as the free Germans and their allies consider the voting trends is the nature of the coalition that will result.

The New Testament offered to the public today is the first result of the work of a joint committee made up of representatives of the Church of England, Church of Scotland, Methodist Church, Congregational Union, Baptist Union, Presbyterian Church of England, Churches in Wales, Churches in Ireland, Society of Friends, British and Foreign Bible Society and National Society of Scotland.

war is the result of mistrust and lack of understanding between people.

In the first place, a large part of the discrepancy between President Eisenhower's estimate of a 1.5 billion dollar surplus for the same period and the new estimate of an almost seven billion dollar deficit is the result of the outgoing President's farewell gift of a political booby-trap to his successor.

Their burgeoning popularity may be a result of the closing of the 52nd Street burlesque joints, but curiously enough their atmosphere is almost always familial -- neighborhood saloons with a bit of epidermis.

The only fact that holds any weight in the article is the result of the tea party.

Its elimination would result in the saving of interest costs, heavy when short-term money rates are high, and in freedom from dependence on credit which is not always available when needed most.

This result is preliminary, and work is continuing.

The proof of the independence result also shows that a wide class of mathematical statements, including all statements that can be phrased in the language of Peano arithmetic, are provable in ZF if and only if they are provable in ZFC.

Among his major accomplishments were the 1940 proof, of the Riemann hypothesis for zeta-functions of curves over finite fields, and his subsequent laying of proper foundations for algebraic geometry to support that result ( from 1942 to 1946, most intensively ).

This key result opened the way for a proof of the Weil conjectures, ultimately completed by his student Pierre Deligne.

The date given is usually the publication date of the complete proof of a result, which is sometimes several years later than the proof or first announcement of the result, so some of the items appear in the " wrong " order.

Probability of loss is generally an empirical exercise, while cost has more to do with the ability of a reasonable person in possession of a copy of the insurance policy and a proof of loss associated with a claim presented under that policy to make a reasonably definite and objective evaluation of the amount of the loss recoverable as a result of the claim.

This result, known as Tarski's undefinability theorem, was discovered independently by Gödel ( when he was working on the proof of the incompleteness theorem ) and by Alfred Tarski.

The Essenes have gained fame in modern times as a result of the discovery of an extensive group of religious documents known as the Dead Sea Scrolls, which are commonly believed to be Essenes ' library — although there is no proof that the Essenes wrote them.

Abel gave a proof of the binomial theorem valid for all numbers, extending Euler's result which had held only for rationals.

Upon a proof of res ipsa loquitur, the plaintiff need only establish the remaining two elements of negligence — namely, that the plaintiff suffered harm, of which the incident result was the legal cause.

Finally, we provide a proof of the related result, rk ( A ) =

Maher's proof appears to contradict the result of the Bayesian argument, which was that the observation of a non-black non-raven provides much less evidence than the observation of a black raven.

These cases demonstrate a paradox not in the sense that they demonstrate a logical contradiction, but in the sense that they demonstrate a counter-intuitive result that is provably true: the situations " there is a guest to every room " and " no more guests can be accommodated " are not equivalent when there are infinitely many rooms ( an analogous situation is presented in Cantor's diagonal proof ).

This result is quite interesting, because the statement is purely algebraic yet the simplest proof is topological.

A major result of complexity theory is that PSPACE can be characterized as all the languages recognizable by a particular interactive proof system, the one defining the class IP.

However, the result only holds under the restrictive assumptions necessary for the proof ( markets exist for all possible goods so there are no externalities, all markets are in full equilibrium, markets are perfectly competitive, transaction costs are negligible, and market participants have perfect information ).

Within this element lies an implicit reversal of the onus of proof: under the precautionary principle it is the responsibility of an activity proponent to establish that the proposed activity will not ( or is very unlikely to ) result in significant harm.

These two theorems are very different from each other ; the first one has a very simple proof and is very counterintuitive, while the proof of the second one is very technical but the result is not at all surprising.

The uncountability of the real numbers was already established by Cantor's first uncountability proof, but it also follows from the above result.

For a proof of this result, see the corresponding section on the Hilbert's basis theorem page.

His treatise upon baptism is the work of a scholar, and places before the reader that exhaustive proof that immersion is the one and only action commanded by the Saviour which can only be reached as the result of complete classical research.

This result, known as Tarski's undefinability theorem, was discovered independently by Gödel ( when he was working on the proof of the incompleteness theorem ) and by Alfred Tarski.

The end result is a song that retains familiar phrases and lyrics, but offers something new.

Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other.

The result offers an approximation of the peak-power output of an engine.

As a result of his standout play, Aaron received two offers from MLB teams via telegram ; one offer was from the New York Giants, the other from the then Boston Braves.

But the prosecutor wants to nail someone, so he offers you a deal: if you squeal on your associate – which will result in his getting a five year stretch – the prosecutor will see that six months is taken off of your sentence.

As a result of a pending trade war with the United States of America over violations of intellectual property rights of American corporations in the early 1990s, the People's Republic of China's trademark law has been modified and now offers significant protections to foreign trademark owners.

If naturopathy offers verifiable results for specific conditions, greater scientific knowledge of the mechanisms of those naturopathic protocols could result in improved therapy models.

As a result, the film offers a quintessential cinematic moment of the rarest and most transcendentally pure art.

Heinlein acknowledged that such a long life span should not be expected as a result of a mere three generations of selective breeding, but offers no alternative explanation except by having a character declare, " A mutation, of course — which simply says that we don't know ".

A recent investigation performed at the end of 2007 by the QAA reveal that as a result of its investigations, the audit team's view of Anglia Ruskin University is that confidence can reasonably be placed in the soundness of the institution's present and likely future management of the academic standards of the awards that it offers and the quality of the learning opportunities available to students.

As a result of this plot, Ravana asks for Goddess Parvathi, and Lord Shiva offers him.

Rejecting offers from the new seat of Livingston in Scotland, Benn contested Bristol East, losing to Conservative candidate Jonathan Sayeed in what was perceived to be a shock result.

ICOMOS was founded in 1965 in Warsaw as a result of the Venice Charter of 1964 and offers advice to UNESCO on World Heritage Sites.

The result is a vibrant community that offers travelers an ideal retreat.

The result is an interferometer that is, to first order, completely insensitive to movement of its optical components, and which offers excellent contrast and extreme fringe stability.

As a result Waterloo is a polyglot and multicultural town, the Commune offers services in French, Dutch, and English.

The Boston library offers digitized content, video, a wider range of formats and, as a result, " research documents now have broader accessibility within the community and around the world ," and help communities by offering public access computers, mobile Wi-fi access, and free job search tools.

The extended level offers the possibility of achieving 100 points but carries the risk of gaining a lower result due to the elevated difficulty level.

Direct access trading offers substantial improvements in transaction speed and will usually result in better trade execution prices ( reducing the costs of trading ).

Near the climax of the film, Neo offers a deal with the Machines to get rid of Smith in exchange for Zion's safety, warning them that Smith is beyond their control and will eventually spread to the machine city, which will result in destruction of both mankind and machines.

The result is a lightweight material that offers a seamless installation and there is no limit to the sheet size.

DPL II implements greatly enhanced steering compared to DPL, and as a result, offers an exceptionally stable sound field that simulates 5 channel surround sound.

Ca ’ Foscari also offers 9 Summer Schools including the prestigious Ca ’ Foscari-Harvard Summer School, the result of a bilateral agreement between Ca ’ Foscari and the American University.

As a result, The New Americans offers an unusually personal and comprehensive look at the people it profiles.