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.

It is frequently the result of the discussion of heated real-world issues such as politics, religion, and philosophy, or of issues that polarise subpopulations, but can also be provoked by seemingly trivial differences.

Although this difference is trivial in bulk chemistry calculations, it can result in complete failure in situations where the behavior of individual molecules matters, such as in mass spectrometry and particle physics ( where the mixture of isotopes does not act as an average ).

This is because they have zero divisors ; this means that two non-zero numbers can be multiplied to obtain a zero result: a trivial example is (< var > e </ var >< sub > 3 </ sub > + < var > e </ var >< sub > 10 </ sub >)×(< var > e </ var >< sub > 6 </ sub > − < var > e </ var >< sub > 15 </ sub >).

Inn ( G ) can only be a cyclic group when it is trivial, by a basic result on the center of a group.

the matrices satisfy various polynomials such as their minimal polynomials, which form a proper ideal ( because they are not all zero, in which case the result is trivial ); one might call this the characteristic ideal, by analogy with the characteristic polynomial.

Again, the result is trivial for p = 2, so suppose p is an odd prime,.

The main step in proving this result is establishing the existence of a universal cover, that is a cover corresponding to the trivial subgroup of π < sub > 1 </ sub >( X, x ).

While this is a trivial result, deriving similar results for games with rich combinatorial structures is difficult.

Note that this works equally well when degree ( n ) < degree ( d ); in that case the result is just the trivial ( 0, n ).

As more pop music critics began writing, this had the effect of " legitimating pop as an art form "; as a result, " newspaper coverage shifted towards pop as music rather than pop as social phenomenon "; as well, in the way that critics differentiate between pop music and rock, using terms like " trivial ", " fluffy ", or " formulaic " for pop ( versus " serious ", " raw ", and " sincere " for rock ), there is an implicit or even explicitly gendered dichotomy.

For a trivial hash function lookup, the unsigned raw data value is used directly as an index to a one dimensional table to extract a result.

When such a repair was made to an existing recording a jump in the sound would result during playback, but because of the high speed of the wire the loss of an inch due to tying and trimming was trivial and might pass unnoticed.

To give a trivial example, suppose the problem is to find the integer value of between 0 and 255 that provides the maximal result for.

The result is trivial if the matrix N is singular, so assume the columns of N are linearly independent.

A bone fracture can be the result of high force impact or stress, or trivial injury as a result of certain medical conditions that weaken the bones, such as osteoporosis, bone cancer, or osteogenesis imperfecta, where the fracture is then properly termed a pathologic fracture.

Leading zeros cannot be used, since that would also result in trivial Friedman numbers, such as 001729

Another result, attributed to Grauert and Röhrl ( 1956 ), states moreover that every holomorphic vector bundle on X is trivial.

The rotary converter is somewhat more complex than this trivial case because it delivers near-DC rather than the pulsating DC that would result from just the reversing switch, but the analogy may be helpful in understanding how the rotary converter avoids transforming all of the energy from electrical to mechanical and back to electrical.

Via the now well-known relation between genuine surgery and cobordism, this result is equivalent to the theorem that the oriented cobordism group of 3-manifolds is trivial, originally due to V. Rohlin in 1951.

If the convergence were uniform this would be a trivial result, and Littlewood's third principle tells us that the convergence is almost uniform, that is, uniform outside of a set of arbitrarily small measure.

Thus, a trivial extension to the hypothesis for point sets in R < sup > d </ sup > is not sufficient to obtain the desired result.

The differences among the dialects are not trivial, and in many cases result in low mutual intelligibility: people who speak one dialect cannot understand or be understood by those from another.

The New York Times, in an editorial, criticized the protests against the IFC, arguing that the IFC's opponents had made trivial and unconvincing suggestions that both the IFC and the " cultural component " of architect Daniel Libeskind's plans would somehow diminish the scope of the Memorial Museum: " To argue over the size of these two spaces is to assume that emotional power is solely the result of square footage.