Since he can neither accept nor reject them all, he must be governed by the time and energy available for his prime professional obligations.

Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Since 2011 the Greens have their first prime minister, the one of Baden-Württemberg, in a Green-SPD-government.

Since the Liberal Democratic Party ( the LDP ) was in power, it has been convention that the President of the party serves as prime minister.

Since 2007 Kuwait has been ruled by Sheikh Sabah Al-Ahmad Al-Jabir Al-Sabah and his designated successor, Sheikh Jaber Al-Mubarak Al-Hamad Al-Sabah, the prime minister and crown prince.

Since p is prime q − 1 must be a multiple of p. Of course, if the number m = < sup >( q − 1 )</ sup >⁄< sub > p </ sub > is odd, then q will be even, since it is equal to mp + 1.

Since 1974, the official residence of the prime minister is Beit Aghion, at the corner of Balfour and Smolenskin streets in Rehavia.

Since stepping down as prime minister, Lee has remained influential first as Senior Minister, and now as Minister Mentor.

Since then, all races have ended after dark, with the 2007 race ending in prime time, at 7: 07 pm ( EST ).

Since is not a power of a prime, it is the product of two coprime numbers greater than.

Since fully regaining independence Estonia has had 12 governments with 8 prime ministers: Mart Laar, Andres Tarand, Tiit Vähi, Mart Siimann, Siim Kallas, Juhan Parts, and Andrus Ansip.

Since 3 is prime, its only divisors are 1 and 3, so either H is G, or H is the trivial group.

If n is not a prime power, then every Sylow subgroup is proper, and, by Sylow's Third Theorem, we know that the number of Sylow p-subgroups of a group of order n is equal to 1 modulo p and divides n. Since 1 is the only such number, the Sylow p-subgroup is unique, and therefore it is normal.

Proof: Since p is a prime number the only possible values of gcd ( p < sup > k </ sup >, m ) are 1, p, p < sup > 2 </ sup >, ..., p < sup > k </ sup >, and the only way for gcd ( p < sup > k </ sup >, m ) to not equal 1 is for m to be a multiple of p. The multiples of p that are less than or equal to p < sup > k </ sup > are p, 2p, 3p, ..., p < sup > k − 1 </ sup > p = p < sup > k </ sup >, and there are p < sup > k − 1 </ sup > of them.

Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.

Since the fundamental theorem of arithmetic applied to a non-zero integer n that is neither 1 nor − 1 also asserts uniqueness of the representation for p < sub > i </ sub > prime and e < sub > i </ sub > positive, a primary decomposition of ( n ) is essentially unique.

Since g > 1 and q is prime, g must have order q.

Since in the Ulam spiral adjacent diagonals are alternatively odd and even numbers, it is no surprise that all prime numbers lie in alternate diagonals of the Ulam spiral.

Since 2001, the United Nations has had a presence at the WSF through UNESCO, showing the institutional credibility achieved by the forum, seen by UNESCO as a " prime opportunity for dialogue and a laboratory of ideas for the renewal of public policies " through " critical reflection on the future of societies we want to create and for elaborating proposals in search of solidarity, justice, peace and human rights ".

Since Ultima Onlines prime in 2003, the overall subscriber base has seen a steady decline.

Since is a prime number, can be factorized.

Since G has an irreducible representation of degree 2, an Artin L-function for such a representation occurs, squared, in the factorisation of the Dedekind zeta-function for such a number field, in a product with the Riemann zeta-function ( for the trivial representation ) and an L-function of Dirichlet's type for the signature representation.

Since then, and since the pure grain had gotten him divorced from every decent -- and even indecent -- group from Greenwich Village to the Embarcadero, he had become a sucker-rolling freight-jumper.

Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

`` Since we're having coffee with them this afternoon '', he said, `` I think I'll ask the daughter if we can pay her to come in every day to clean for us ''.

Since independence from Portugal in 1975, a number of Angolan students continued to be admitted every year at high schools, polytechnical institutes, and universities in Portugal, Brazil and Cuba through bilateral agreements ; in general, these students belong to the Angolan elites.

Since John Wesley ordained and sent forth every Methodist preacher in his day, who preached and baptized and ordained, and since every Methodist preacher who has ever been ordained as a Methodist was ordained in this direct " succession " from Wesley, then the Methodist Church teaches that it has all the direct merits coming from apostolic succession, if any such there be.

Since 1998, Harvard University wraps some of the valuable statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain.

Since 1998, Harvard University wraps some of the bronze and marble statues on its campus, such as this " Harvard Bixi | Chinese stele ", with waterproof covers every winter, in order to protect them from erosion caused by acid rain ( or, actually, acid snow )

Since these two constructions are inverses of each other, we can say that every Boolean ring arises from a Boolean algebra, and vice versa.

Since 2005, Lee has written the Boston Herald's poker column every Sunday.

Since the retirement of Cal Ripken Jr. in 2001, the Orioles began a downward spiral, compiling a losing record in every season between 1998 and 2011.

Since virtually every calculation in quantum mechanics involves vectors and linear operators, it can involve, and often does involve, bra-ket notation.

Let A be a unital commutative Banach algebra over C. Since A is then a commutative ring with unit, every non-invertible element of A belongs to some maximal ideal of A.

Since every day brought the arrival of the Spartans closer, the delay worked in favor of the Athenians.

Since after independence from Portugal in 1975, a number of Cape Verdean students continued to be admitted every year at Portuguese high schools, polytechnical institutes and universities, through bilateral agreements between the Portuguese Government and the Cape Verdean Government.

Since every element of

Since this curl is not the same at every point, its plot is a bit more interesting:

Since that time, the rate of crater production on Earth has been considerably lower, but it is appreciable nonetheless ; Earth experiences from one to three impacts large enough to produce a 20 km diameter crater about once every million years on average.

Since every compact Hausdorff space is a Tychonoff space, and every subspace of a Tychonoff space is Tychonoff, we conclude that any space possessing a Hausdorff compactification must be a Tychonoff space.

Since 2004, a partial census has been carried out every year, and the results published as averages over 5 years.

Since 1969 census has been taken every ten years.

Since 1900, a census has been conducted every ten years.

Since a characteristic subgroup is invariant under all automorphisms, every characteristic subgroup is normal.

The Oral Torah is the primary guide for Jews to abide by these terms, as expressed in tractate Gittin 60b, " the Holy One, Blessed be He, did not make His covenant with Israel except by virtue of the Oral Law " to help them learn how to live a holy life, and to bring holiness, peace and love into the world and into every part of life, so that life may be elevated to a high level of kedushah, originally through study and practice of the Torah, and since the destruction of the Second Temple, through prayer as expressed in tractate Sotah 49a " Since the destruction of the Temple, every day is more cursed than the preceding one ; and the existence of the world is assured only by the kedusha ... and the words spoken after the study of Torah.