The terms Bernoulli trial and Bernoulli numbers result from this work.

Malbranche introduced l ' Hôpital to Johann Bernoulli, with the ultimate result being the publication of the first textbook in infinitesimal calculus.

In other words, if you were to run a large number of Bernoulli trials using the same probability of success p < sub > i </ sub >, coding each success a 1 and each failure a 0 as is standard, and then take the average of all those 1's and 0's, the result you'd get would be close to p < sub > i </ sub >.

* Jakob Bernoulli and Johann Bernoulli solve the brachistochrone curve problem, the first result in the calculus of variations.

Stability indication and control mechanisms such as gyroscopic attitude indicators and fuel metering devices, such as carburetors, function as a result of gas or fluid pressure differentials that create suction as demonstrated and measurable by gas / fluid pressure and velocity equations derived from the Bernoulli Principle and the Venturi Effect.

In number theory, the von Staudt – Clausen theorem is a result determining the fractional part of Bernoulli numbers, found independently by

A famous example is Bayes ' Scholium, a well-known result for interpreting observations of a Bernoulli process.

In total, these increases in operating costs outweigh the savings that result from declining programs and from economy measures, such as reduced numbers of units and installations, smaller inventories of major equipment, and improvements in the supply and distribution systems of the Armed Forces.

Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.

Applesoft converted integer numbers to real before performing operations on them, converting the result back to an integer only if it was to be assigned to a ( 16-bit signed ) integer variable.

Only when all numbers have been added is the result held in the accumulator written to main memory or to another, non-accumulator, CPU register.

It involves the study of quantity, especially as the result of operations that combine numbers.

The rationale behind this treaty, which has been ratified or acceded to by 165 countries as of 2011, is to prevent a biological attack which could conceivably result in large numbers of civilian fatalities and cause severe disruption to economic and societal infrastructure.

As a result a large numbers of Lamassu's, bas-reliefs, stelae, including the Black Obelisk of Shalmaneser III were brought to the British Museum.

As a result, many retailers have implemented practices aimed at managing large numbers of shoppers.

The Heine – Borel theorem, as the result is now known, is another special property possessed by closed and bounded sets of real numbers.

He also proved a result concerning Fermat numbers that is called Goldbach's theorem.

Differing numbers of players result in different game layouts.

For example, the view that numbers are Platonic objects was revived by Kurt Gödel as a result of certain puzzles that he took to arise from the phenomenological accounts.

Civil wars may result in large numbers of casualties and the consumption of significant resources.

Also, some fractions such as which is ( to 14 significant figures ) can be difficult to recognize in decimal form ; as a result, many scientific calculators are able to work in vulgar fractions or mixed numbers.

As a result, most real numbers have no description ( in the same sense of " most " as ' most real numbers are not rational ').

As a result of this increased factorability of the radix and its divisibility by a wide range of the most elemental numbers ( whereas ten has only two non-trivial factors: 2 and 5, with neither 3 nor 4 ), duodecimal representations fit more easily than decimal ones into many common patterns, as evidenced by the higher regularity observable in the duodecimal multiplication table.

According to Rummel, these were not cases of genocide because those who were killed were not selected on the basis of their race, but were killed in large numbers as a result of government policies.

It is asserted that, as a result, most major academic libraries in the US do not use the DDC because the classification of works in those areas is not specific enough, although there are other reasons that may truly be more weighty, such as the much lower expense of using a unique " pre-packaged " catalog number instead of having highly skilled staff members engaging in the time-consuming development of catalog numbers.

Considerable argument broke out as a result, with significant numbers of servicemen disputing the published version, including Admiral Bacon, who wrote his own book about the battle, criticising the version sponsored by Beatty and highly critical of Beatty's own part in the Battle.

* However, if we think of as the field of real numbers, then the direct product does not exist-naively defining in a similar manner to the above examples would not result in a field since the element does not have a multiplicative inverse.

Instructions resulting in an overflow, such as adding two numbers whose result does not fit in 64 bits, write the 32 or 64 least significant bits to the destination register.

As a result, during the early months of these campaigns, Axis air forces destroyed large numbers of Red Air Force aircraft on the ground and in one-sided dogfights.

This is a typical feature of Australian Aboriginal languages, where the few fricatives that exist result from changes to plosives or approximants, but also occurs in some indigenous languages of New Guinea and South America that have especially small numbers of consonants.

His personal familiarity with the scenes of action undoubtedly contributed much to the final result, but familiarity alone would not have been enough without other qualities.

Mankind, as a result, attains previously undreamed of levels of civilization and culture, a golden age which the Overlords, a very evident symbol of science, have helped produce by introducing reason and the scientific method into human activities.

Shortening the results in this manner will not have any detrimental effect on the accuracy of the final result.

Working in a vacuum of minimal information can result only in show pieces that look good in exhibitions and catalogs and may please the public relations department but have little to do with the essence of interior design.

As a result of that attitude, others have been discouraged from trying central distribution.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

As a result, many people have been confirmed in their conviction that orthography design is not an activity to which experts can contribute anything but confusion.

If this threefold division of costs were to have its counterpart in the actual rates of charge for service, as it actually does have in some rates, there would result a three-part rate for any one class of service.

As a result, most people don't have more than a vague idea what folklore actually is ; ;

Moritz was bothered during the first two games this year by a pulled muscle in the thigh of his right ( kicking ) leg and, as a result, several of his successful conversions have gone barely far enough.

No formal charges have been filed as a result of either of the two reported incidents.

As a result, ever since 1851 when the Senate restaurant opened in the new wing of the Capitol Building, the senators have never ceased to grumble about the food -- even while they opposed every move that might improve it.

The result has been that exports of Underwood products have doubled.

A test result ( calculated from the null hypothesis and the sample ) is called statistically significant if it is deemed unlikely to have occurred, assuming the truth of the null hypothesis.

In order for the appeal to succeed, the appellant must prove that the lower court committed reversible error, that is, an impermissible action by the court acted to cause a result that was unjust, and which would not have resulted had the court acted properly.

If a defendant has been convicted and can prove that his lawyer did not adequately handle his case and that there is a reasonable probability that the result of the trial would have been different had the lawyer given competent representation, he is entitled to a new trial.

More complex assistive technology devices have been developed over time, and as a result, sports for people with disabilities " have changed from being a clinical therapeutic tool to an increasingly competition-oriented activity ".

Among the people of the Arctic the Norwegians have the easiest climate, with most ports in North Norway remaining ice-free all the year as a result of the Gulf Stream.

Proposed subgroups are difficult to recognise, having similar ' lily-like ' flowers, with the result that some members of the group have been included in different subgroups at different times.

There have been cases of humans being contaminated with americium, the worst case being that of Harold McCluskey, who at the age of 64 was exposed to 500 times the occupational standard for americium-241 as a result of an explosion in his lab.

Some of these have explored and offered accounts of Christie's disappearance in 1926, including the 1979 film Agatha ( with Vanessa Redgrave, where she sneaks away to plan revenge against her husband ) and the Doctor Who episode " The Unicorn and the Wasp " ( with Fenella Woolgar, her disappearance being the result of her suffering a temporary breakdown due to a brief psychic link being formed between her and an alien ).

In The Plague, a key description of Oran occurs early, when it is explained that the town is built in such a way that it " turns its back on the bay, with the result that it's impossible to see the sea, you always have to go to look for it.