Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.

Experiment where p is not constant.

He also offers a conversion table ( see Cohen, 1988, p. 283 ) for eta squared ( η < sup > 2 </ sup >) where 0. 0099 constitutes a small effect, 0. 0588 a medium effect and 0. 1379 a large effect.

where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

where k has the same p, and opposite σ and sign of the energy.

where p is the frequency of one allele and q is the frequency of the alternative allele, which necessarily sum to unity.

where p is the star's parallax in arcseconds.

where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.

where θ < sub > r, p </ sub > is the angle between r and p measured from r to p ; an important distinction because without it, the sign of the cross product would be meaningless.

where is called the lever arm distance to p.

where is the component of p that is perpendicular to r. As above, the sign is decided based on the sense of rotation.

The fundamental theorem of arithmetic states that any positive integer n can be represented uniquely as a product of powers of primes: where p < sub > 1 </ sub > < p < sub > 2 </ sub > < ... < p < sub > k </ sub > are primes and the a < sub > j </ sub > are positive integers.

where n > 1 is an integer and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.

where n > m > 0 are integers and p, q, and r are prime numbers, then 2 < sup > n </ sup >× p × q and 2 < sup > n </ sup >× r are a pair of amicable numbers.

Since the early 20th century it has been commonly accepted that Old Irish Bel ( l ) taine is derived from a Common Celtic * belo-te ( p ) niâ, meaning " bright fire " ( where the element * belo-might be cognate with the English word bale in ' bale-fire ' meaning ' white ' or ' shining '; compare Anglo-Saxon bael, and Lithuanian / Latvian baltas / balts, found in the name of the Baltic ; in Slavic languages byelo or beloye also means ' white ', as in Беларусь ( White Russia or Belarus ) or Бе ́ лое мо ́ ре Sea ).

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.

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

In the more primitive areas, where the capacity to absorb and utilize external assistance is limited, some activities may be of such obvious priority that we may decide to support them before a well worked out program is available.

At the other end of the spectrum, where the more advanced countries can be relied upon to make well thought through decisions as to project priorities within a consistent program, we should be prepared to depart substantially from detailed project approval as the basis for granting assistance and to move toward long-term support, in cooperation with other developed countries, of the essential foreign exchange requirements of the country's development program.

A substantial increase is estimated in the cost of operating additional communications systems in the air defense program, as well as in all programs where speed and security of communications are essential.

In a later chapter dealing with the suburban school, I shall discuss the importance of arranging a program for the academically talented and highly gifted youth in any high school where he is found.

where C is the " overhead " added by the program GenerateParadoxicalString.

Subsequently, Roosa and Mitchell were recycled to serve as members of the backup crew after returning from Apollo 14, while Pogue and Carr were re-assigned to the Skylab program where they later flew on Skylab 4.

The maximum speedup in an improved sequential program, where some part was sped up times is limited by inequality

Abd ar-Rahman was famous for his public building program in Córdoba where he died in 852.

In computer security and programming, a buffer overflow, or buffer overrun, is an anomaly where a program, while writing data to a buffer, overruns the buffer's boundary and overwrites adjacent memory.

The name originated from the Basic Input Output System used in the CP / M operating system ( released in 1976 ), where the BIOS was loaded from disk, with only a small boot loader program stored in read-only memory.

Stack oriented processors, with 48 bit word length where each word was defined as data or program contributed significantly to a secure operating environment, long before spyware and viruses affected computing.

CPU designers then borrowed ideas from commercial computing markets such as transaction processing, where the aggregate performance of multiple programs, also known as throughput computing, was more important than the performance of a single thread or program.

The University has general exchange agreements with many European and US universities and maintains a special exchange program agreement with National Chiao Tung University ( NCTU ) in Taiwan where the exchange students from the two universities maintains offices for, among other things, helping local students with applying and preparing for an exchange year as well as acting as representatives ( NCTU Europe – NCTU students at Chalmers, Chalmers Asia – Chalmers students at NCTU ).

In other parts of Canada a degree is usually attained as a 4 year study program, and to a much lesser degree now ( except in Quebec, where it is the norm ), in 3 years.

He then moved to the University of Michigan, where for many years he directed the Creative Writing MFA program.

Nazi Germany, in 1943, also developed the Mistel program which can be seen as a rudimentary air-launched cruise missile, where a piloted fighter-type aircraft was mounted atop an unpiloted bomber-sized aircraft that was packed with explosives to be released while approaching the target.

Protected memory is a system where each program is given an area of memory to use and is not permitted to go outside that range.

The census of the Philippines is enumerated every 5 years ( beginning on 1960, except in 2005 where it was moved to 2007 due to budgetary constraints ) and the results are used to allocate Congressional seats ( congressional apportionment ) and government program funding.

In May 2007, the program, which had only previously been available digitally as a paid subscription from Audible. com, became a free podcast distributed by NPR, after a two-month test period where only a " call of the week " was available via podcast.

* In the film Tron, a programmer was physically transferred to the program world, where programs were personalities, resembling the forms of their creators.

During the 1980s, mandated regulations not unlike Public, educational, and government access ( PEG ) channels created the beginning of the Cable-originated live television program that evolved into what we know today in 2012 where many cable networks provide live cable-only broadcasts of many varieties, cable-only produced television movies, and miniseries.

This program is still recognizable in the most popular philosophy of mathematics, where it is usually called formalism.

Further appearances in Japan include TaikOz's 2005 tour where the group presented an all-Australian program at the Hibike Festival in Echizen and collaborative concerts in Kobe with colleagues Wadaiko Matsumuragumi.