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* Every pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.
Some Related Sentences
Every and pair
Every ATM cell has an 8-or 12-bit Virtual Path Identifier ( VPI ) and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header.
Every twin prime pair except ( 3, 5 ) is of the form ( 6n − 1, 6n + 1 ) for some natural number n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8.
Every Saturday night, from 1995 to 2000, he would host a pair of horror films ( such as Friday the 13th Part 2 and Wes Craven's New Nightmare ) provide a running commentary, trivia, off-color jokes and a drive-in total.
This pair of brothers later wrote a book entitled Foot by Foot Through the USA, A High Adventure Odyssey To Every State in the Union, which chronicled their journey.
Every constraint is in turn a pair ( usually represented as a matrix ), where is an-tuple of variables and is an-ary relation on.
Every minimal pair of natural numbers has and, for otherwise the pair would belong to and be at least as small in both coordinates, contradicting the assumption that is minimal.
Every pair of MojoNation nodes maintained a relative credit balance, with every EGTP request transferring some Mojo credit from the sender to the receiver.
Every pair plays against a number of opposing pairs in successive rounds, depending on the size of the field.
Every homeroom is led by a pair of teachers with combined native language abilities in both English and Mandarin, and at every year level, teachers of the two languages collaborate to plan and teach outcomes from the school's inquiry-based integrated program.
Knopfler performed " Money for Nothing " using his Pensa-Suhr signature MK-1 model guitar with a pair of Soldano SLO-100 tube / valve amplifier heads and Marshall speaker cabinets during the Nelson Mandela 70th Birthday Tribute and Prince's Trust concerts in 1988, as well as the Nordoff-Robbins charity show at Knebworth in 1990 and the On Every Street world tours in 1991 / 1992.
Every pair of balls ( Hamming spheres ) are non-intersecting by the t-error-correcting property, and each ball contains ( in other words, the volume of the ball ) m words.
As described in an article in the London newspaper, The Daily Courier, on June 25, 1896: " Every one who has watched a bout with the foils knows that the task of judging the hits is with a pair of amateurs difficult enough, and with a well-matched pair of maîtres d ’ escrime well-nigh impossible.
Every convex centrally symmetric polyhedron P in R < sup > 3 </ sup > admits a pair of opposite ( antipodal ) points and a path of length L joining them and lying on the boundary ∂ P of P, satisfying
Every complex number has both a real part and an imaginary part, so one complex variable is two-dimensional and a pair of complex variables is four-dimensional.
Every and congruence
Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes ( or congruence classes ) for the relation.
Every dilation of a Euclidean space that is not a congruence has a unique fixed point that is called the center of dilation.
Every and relations
Every adult and wise woman without husband although reserves the right to accept concubinage for her employer / master without any coercion or force, but Islamic scholars have consensus that for sex relations options of Nikkah and Muta should be adopted instead of concubinage in this era.
# Every type of state is a powerful institution of the ruling class ; the state is an instrument which one class uses to secure its rule and enforce its preferred production relations ( and its exploitation ) onto society.
Every node in the database keeps the neighbourhood information, such as its super-class, sub-class, instance-of, and other relations, in which the object has a role, in the form of predicates.
Every set S can be turned into a pointed dcpo by adding a least element ⊥ and introducing a flat order with ⊥ ≤ s and s ≤ s for every s ∈ S and no other order relations.
‘ Every regulation ’, he said, ‘ is a restriction, and as such contrary to that freedom which I have held to be the first principle of the well being of commerce ’, for good measure adding that a restriction, or regulation, may doubtless answer the particular purpose for which it is imposed, but as commerce is not a simple thing, but a thing of a thousand relations, what may be of profit in the particular, may be ruinous in general.
" Property of Jesus ," " Yonder Comes Sin ," and new arrangements of older material like " Ain't Gonna Go To Hell ( For Anybody )" were composed during this time, but the three most important works written that summer were " Every Grain of Sand ," " Caribbean Wind ," and " The Groom's Still Waiting at the Altar "; each of these marked a dramatic change in Dylan's lyrical direction, with the latter two " contrast his troubled sexual relations with the demands of a higher calling ," according to author Clinton Heylin.
Every and for
Every so often the diminishing sound of a car came under the trailer as it slowed down for the wreck then speeded up again as it got clear.
Every morning early, in the summer, we searched the trunks of the trees as high as we could reach for the locust shells, carefully detached their hooked claws from the bark where they hung, and stabled them, a weird faery herd, in an angle between the high roots of the tulip tree, where no grass grew in the dense shade.
Every recorded request by Thomas for a delay in a flank movement or an advance was to gain time to take care of his horses.
Every few minutes she would awaken for a moment to review things: Stowey, yes, was on his way south, and the two boys were away in school, and nothing was burning on the stove, and Lucretia was coming for dinner and bringing three guests of hers.
Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.
Every new scandal which would provide more `` copy '' for Marshall's pen would thus mean more publicity for Welch.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Every single instance of altruistic behavior need not always increase inclusive fitness ; altruistic behaviors would have been selected for if such behaviors on average increased inclusive fitness in the ancestral environment.
Every time a speech sound is produced for a given phoneme, it will be slightly different from other utterances, even for the same speaker.
Every telephone company, whether large or small, determines its own ANAC for each individual central office, which tends to perpetuate the current situation of a mess of overlapping and / or spotty areas of coverage.
Every actor who has opened in the role of Pseudolus on Broadway ( Zero Mostel, Phil Silvers and Nathan Lane ) won a Best Actor Tony Award for their performance.
Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.
* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.
Every week Holbrook writes the story line for the next three weeks for one of his strips and draws the next three weeks ' worth of strips for another.
Every cleric in Holy Orders and every member of a religious order must publicly join in or privately read aloud ( i. e. using the lips as well as the eyes — it takes about two hours in this way ) the whole of the Breviary services allotted for each day.
Every contraction mapping is Lipschitz continuous and hence uniformly continuous ( for a Lipschitz continuous function, the constant k is no longer necessarily less than 1 ).