Chaos theory has been so surprising because chaos can be found within almost trivial systems.

Since interactions between molecules play almost no role, dilute gases form rather trivial solutions.

The idea was greeted with enthusiasm by almost everyone except Morris, who was by now involved with promoting socialism and thought Ashbee's scheme trivial.

Moving a skill from 50 to 51 is almost trivial ; from 98 to 99 nigh impossible.

It is almost trivial to prove that the product of two sequentially compact spaces is sequentially compact — one passes to a subsequence for the first component and then a subsubsequence for the second component.

Sometimes if the datum is small enough, a " trivial hash function " can be used to effectively provide constant time searches at almost zero cost.

Under this definition, the demonstration of Charles's law is almost trivial.

The literary impulse of the Renaissance was almost spent ; scholarship had become dry and trivial.

Determining the grazing angle with respect to a planar surface is trivial, but the computation for almost any other surface is significantly more difficult.

French ’ s reputation had recovered ( by this time, writes Holmes, “ the losses of Loos looked almost nostalgically trivial ”) and he had come to be regarded as one of the government ’ s leading advisers.

Vector bundles are almost always required to be locally trivial, however, which means they are examples of fiber bundles.

Some entries seem so trivial as to be hardly worth including, and others are almost definitely apocryphal.

Except in the trivial cases when p is 0 or 1, such a G almost surely has the following property:

The converse question, whether the almost complex structure implies the existence of a complex structure is much less trivial, and not true in general.

However, the review also felt there was far too much emphasis on hack and slash, with only a few trivial puzzles and almost no interaction between the party and anyone else beyond buying, selling, and killing.

Unlike Cardinal utility theory under certainty, in which the possibility of moving from preferences to quantified utility was almost trivial, here it is paramount to be able to map preferences into the set of real numbers, so that the operation of mathematical expectation can be executed.

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.

A Dyson bubble variant is already a Shkadov thruster ( provided that the arrangement of statite components is asymmetrical ); adding energy extraction capability to the components seems an almost trivial extension.

A simple example is that almost all prime numbers are odd.

For example, an antiproton and a positron can form an antihydrogen atom, which has almost exactly the same properties as a hydrogen atom.

In the 880s, at the same time that he was " cajoling and threatening " his nobles to build and man the burhs, Alfred, perhaps inspired by the example of Charlemagne almost a century before, undertook an equally ambitious effort to revive learning.

Proper nouns that are plural in form take a plural verb in both AmE and BrE ; for example, The Beatles are a well-known band ; The Saints are the champions, with one major exception: largely for historical reasons, in American English, the United States is is almost universal.

For example, he almost always uses the terms " Australes " and " Occidentales " for the South and West Saxons respectively, but in a passage in the first book he uses " Meridiani " and " Occidui " instead, as perhaps his informant had done.

He says relatively little about the achievements of Mercia and Wessex, omitting, for example, any mention of Boniface, a West Saxon missionary to the continent of some renown and of whom Bede had almost certainly heard, though Bede does discuss Northumbrian missionaries to the continent.

Another difficulty is that manuscripts of early writers were often incomplete: it is apparent that Bede had access to Pliny's Encyclopedia, for example, but it seems that the version he had was missing book xviii, as he would almost certainly have quoted from it in his De temporum ratione.

For example, although the words wee and little are interchangeable in some contexts, wee ( as an adjective ) is almost exclusively written by some people from some parts of northern Britain ( and especially Scotland ) or from Northern Ireland, whereas in Southern England and Wales, little is used predominantly.

Even this distinction is not completely clear-cut — for example, humans normally walk and run in biped fashion, but almost all can crawl on hands and knees when necessary.

For example, the ( discounted ) annual season ticket from London to Brighton ( standard 2nd class ) as of January 2010 costs £ 3, 280 for, while an annual DB ( German ) 100 BahnCard, which allows one year's travel on the entire German rail network, costs almost exactly the same ( 3800 Euros ).

Some early ' skyscrapers ' were made in masonry, and demonstrated the limitations of the material – for example, the Monadnock Building in Chicago ( opened in 1896 ) is masonry and just 17 stories high ; the ground walls are almost thick, clearly building any higher would lead to excessive loss of internal floor space on the lower floors.

For example, many commercial contracts are more economically efficient, and create greater wealth, because the parties know ahead of time that the proposed arrangement, though perhaps close to the line, is almost certainly legal.

For example, in 2006 more than 60 percent of Fortune 500 companies did not have a COO, and in 2007 almost 58 percent of Fortune 500 companies did not have a COO.

Other crimes, called mala in se, count as outlawed in almost all societies, ( murder, theft and rape, for example ).

For example, most species of bears are actually omnivorous, except for the giant panda, which is almost exclusively herbivorous, and the carnivorous polar bear.

" For example, James Madison argued for a constitutional republic with protections for individual liberty over a pure democracy, reasoning that, in a pure democracy, a " common passion or interest will, in almost every case, be felt by a majority of the whole ... and there is nothing to check the inducements to sacrifice the weaker party ...."

The Zoological Gardens of London for example once successfully managed to mate a male European wolf to an Indian female, resulting in a pup bearing an almost exact likeness to its sire.

For example, the highly anticipated first person shooter Quake used highly-optimized assembly code designed almost entirely around the P5 Pentium's FPU.

One example is Band-in-a-Box, which is capable of creating jazz, blues and rock instrumental solos with almost no user interaction.

For example, the fighting associated with the 1871 Paris Commune occurred almost entirely in Paris, and ended quickly once the military sided with the government.

The most frequently cited example — although it is almost never employed by current users — involves the replacement of " stairs " with the rhyming phrase " apples and pears ".

In plying, two or more yarns are spun together, almost always in the opposite sense from which they were spun individually ; for example, two Z-twist yarns are usually plied with an S-twist.

For example, in Man with a Movie Camera, two trains are shown almost melting into each other, although we are taught to see trains as not riding that close, Vertov tried to portray the actual sight of two passing trains.

For example, Italy allows citizenship almost entirely on the basis of jus sanguinis ( having an Italian Ancestor ).