The Jews for 2500 years have been a prime example, though the adherents of any world or interpeople religion are cases in point.

There seems to be an unfortunate assumption that an hour of Chicago-style jazz in prime evening time, for example, could not be justified without the trimmings of a portentous documentary.

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

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

An example is the " divides " relation between the set of prime numbers P and the set of integers Z, in which every prime p is associated with every integer z that is a multiple of p ( and not with any integer that is not a multiple of p ).

A prime example of such a claim is the translation of the last line Job speaks ( 42: 6 ), which is extremely problematic in the Hebrew.

For example, the set with elements 2, 3, and 5 is equal to the set of all prime numbers less than 6.

In some applications it is useful to be able to compute the Bernoulli numbers B < sub > 0 </ sub > through B < sub > p − 3 </ sub > modulo p, where p is a prime ; for example to test whether Vandiver's conjecture holds for p, or even just to determine whether p is an irregular prime.

A prime example of bistability in biological systems is that of Sonic hedgehog ( Shh ), a secreted signaling molecule, which plays a critical role in development.

The 1951 children's film Duck and Cover is a prime example.

For example, the Riemann hypothesis is a conjecture from number theory that ( amongst other things ) makes predictions about the distribution of prime numbers.

" Despite having the quote presented to a notable organisation, it has also appeared in books such as " The Most Stupid Words Ever Spoken " as it is deemed by some Westerners as a prime example of a lack of understanding of foreign culinary traditions in the Western world.

The Chicago Building by Holabird & Roche ( 1904-1905 ) is a prime example of the Chicago School, displaying both variations of the Chicago window

In Unix-like operating systems, many files have no direct association with a physical storage device: < tt >/ dev / null </ tt > is a prime example, as are just about all files under < tt >/ dev </ tt >, < tt >/ proc </ tt > and < tt >/ sys </ tt >.

For example, primality testing is the problem of determining whether a given number is prime or not.

The simplest, and original, implementation of the protocol uses the multiplicative group of integers modulo p, where p is prime and g is primitive root mod p. Here is an example of the protocol, with non-secret values in < span style =" color: blue "> blue </ span >, and secret values in < span style =" color: red "> boldface red </ span >:

Virginia's " Technology Corridor " is a prime example of this activity.

Reduction modulo p ( which is needed for addition and multiplication ) can be executed much faster if the prime p is a pseudo-Mersenne prime that is, for example, or Compared to Barrett reduction there can be an order of magnitude speedup.

For example, neither 6 nor 35 is a prime number, since they both have two prime factors: 6 = 2 × 3 and 35 = 5 × 7.

Hence the prime issue, as I see it, is whether a democratic or free society can master technology for the benefit of mankind, or whether technology will rule and develop its own society compatible with its own needs as a force of nature.

Such payments shall be made to small domestic producers of zinc as long as the market price for prime western zinc at East Saint Louis, Illinois, as determined by the Secretary, is below 14-1/2 cents per pound, and such payments shall be 55 per centum of the difference between 14-1/2 cents per pound and the average market price for the month in which the sale occurred as determined by the Secretary.

Whether considered alone or in relation to other editions, COLH 40 is a document of prime importance.

A prime objective of the Army Quartermaster Corps program is to find the reasons for beef's low palatability and means of overcoming it, since it is a major and desirable dietary item.

You get back to the captain and tell him this: Somebody's going to take a shot at the prime minister, and Mahzeer is in on the plot.

Yet for much of the globe, Hollywood is just that -- prime, if not sole, source of knowledge.

While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

As head of state, Queen Elizabeth II is represented in Antigua and Barbuda by a governor general who acts on the advice of the prime minister and the cabinet.

According to the estimate of a former prime minister, Hrant Bagratian, 55 percent of Armenia's GDP is controlled by 44 families.

( Two is a prime number.

* 1945 – An assassination attempt is made on Japan's prime minister, Kantarō Suzuki.

Only a proper, artist-grade acrylic gesso should be used to prime canvas in preparation for painting with acrylic ( however acrylic paint can be applied to raw canvas if so desired without any negative effect or chemical reaction as would be the case with oils ).

* Russia was a prime mover in the establishment of the Balkan League and saw it as an essential tool in case of a future war against its rival, the Austro-Hungarian Empire.

In such cases it is the prime minister who holds the day-to-day powers of governance, while the King or Queen ( or other monarch, such as a Grand Duke, in the case of Luxembourg, or Prince in the case of Monaco and Liechtenstein ) retains only residual ( but not always minor ) powers.

The instance is a number ( e. g. 15 ) and the solution is " yes " if the number is prime and " no " otherwise ( in this case " no ").

The field is defined by p in the prime case and the pair of m and f An additional speed-up is possible if mixed coordinates are used.

It improves Dirichlet's theorem on prime numbers in arithmetic progressions, by showing that by averaging over the modulus over a range, the mean error is much less than can be proved in a given case.

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 is either prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.

In this case, a prerogative Order in Council had been used by the prime minister ( who is the Minister for the Civil Service ) to ban trade union activities by civil servants working at GCHQ.

In Hinduism, certain dynasties adopted a title expressing their positions as " servant " of a patron deity of the state, but in the sense of a ( prime ) minister under a figure head of state, ruling " in the name of " the patron god ( ess ), such as Patmanabha Dasa ( servant of Vishnu ) in the case of the Maharaja of Travancore.

As is the case with any vehicle powered by an internal combustion engine, diesel locomotives require some type of power transmission system to couple the output of the prime mover to the driving wheels.

#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.

The only case where a senator was appointed prime minister was that of John Gorton, who subsequently resigned his Senate position and was elected as a member of the House of Representatives ( Senator George Pearce was acting prime minister for seven months in 1916 while Billy Hughes was overseas ).

According to Israeli law, if a Prime Minister is temporarily incapacitated rather than dies ( as was the case following Ariel Sharon's stroke in early 2006 ), power is transferred to the Acting Prime Minister, until the prime minister recovers ( Ehud Olmert took over from Sharon ), for up to 100 days.

In the case of Sharon, elections were already due to occur within 100 days of the beginning of his coma thus the post-election coalition building process pre-empted the emergency provisions for the selection of a new prime minister.

In that case, the president's power is diminished, since much of the de facto power relies on a supportive prime minister and National Assembly, and is not directly attributed to the post of president.