[permalink] [id link]
Instead of checking for remainders of integers modulo prime numbers, we are checking for remainders of polynomials when divided by linears.
from
Wikipedia
Some Related Sentences
Instead and checking
Instead, station staff inspect tickets at peak times, while at off-peak times there is often no ticket checking.
Instead of checking for the signature of an artist that can never be confirmed, instead consider the actual quality and detail of the artwork.
Instead of checking each passenger as they enter a fare control zone, proof-of-payment requires that each passenger carry a ticket or pass proving that they have paid the fare.
Instead of application checking for changes to filesystem, application can register to be notified by kernel when changes to filesystem occur.
Instead of checking certain speeds at certain points in time, the new system continuously checked a curve of speed against time.
Instead and for
Instead of giving themselves spontaneously to the orgiastic release that jazz can give them, they undergo psychoanalysis or flirt with mysticism or turn to prostitutes for satisfaction.
Instead it means that the thinking in which decision issues has the power to determine the morality of the decision, as in this instance the pressure for renewed practical or legislative attention to the constitutional problems the decision had uncovered might have done.
Instead she waited for Alfred to get better and take care of her.
Instead of wanting to sock the poor bastard I found myself having a fellowfeeling for him.
Instead of motels, for the boatman there are marinas.
Instead, he whirled and ran to his house for a gun, forcing them to kill him, Cook reported.
Instead of starting from theory and applying theory to a particular case, casuists start with the particular case itself and then ask what morally significant features ( including both theory and practical considerations ) ought to be considered for that particular case.
Instead, the irrigated agriculture project was headed for completion with apparently no prospects for extension beyond 2011.
Instead, lower bidding characters are ranked in ascending order according to how much they have bid, the characters becoming progressively weaker in that attribute as they pay less for it.
Instead they urged their urban sympathizers to vote for Labour candidates, as the representatives of the urban working class.
Instead, providence is a power that emanates from the heavens to the sublunar region, and is responsible for the generation and destruction of earthly things, without any direct involvement in the lives of individuals.
Instead, the council deposed him and tried him for heresy, simony, schism and immorality, finding him guilty on all counts.
Instead of the Acht Orte appointing a bailiff together, Zurich and Bern each appointed the governor for 7 out of 16 years while Glarus appointed him for the remaining 2 years.
Instead of just establishing it as a military prison, he provided for a civil administration, with courts of law.
Instead of a limited number of hardware sprites, the MARIA allows for a much larger number of sprites described in a list of display lists.
Instead, it presumably refers to the practice of setting law books and citing legal precedents in blackletter type, a tradition that survived long after the switch to roman and italic text for other printed works.
Instead, Augustus claimed the title for himself ( for the 7th time ).
Instead of complying with the FBI request, MonkeyBrains published a database website http :// badtrans. monkeybrains. net for the public to determine if a given address has been compromised.
Instead, the forms of service that were to be included in the Book of Common Prayer were drawn from the Missal ( for the Mass ), Breviary for the daily office, Manual ( for the occasional services ; Baptism, Marriage, Burial etc.
Instead of the banning of all vestments save the rochet ( for bishops ) and the surplice for parish clergy, it permitted ' such ornaments ... as were in use ... in the second year of K. Edward VI '.
Instead and integers
Instead of listing every single element, sometimes an ellipsis ("...") is used, if the writer believes that the reader can easily guess what is missing ; for example, presumably denotes the set of integers from 1 to 100.
Instead of a single closed path we can consider a linear combination of closed path where the scalars are integers.
Instead of using a series of logarithmic integrals, Gram's function uses logarithm powers and the zeta function of positive integers.
Instead and prime
Instead, the prime minister is appointed by the president, who in his / her view is likely to command the confidence of the majority of the parliament.
Instead, Clarke proposed that the men should all be unmarried, widowed, or divorced and either unemployed or retired, leaving them free to roam around like adolescents in the prime of their lives, unfettered and uninhibited.
* A splitting field of over is ; the polynomial has no roots in, i. e., − 1 is not a square there, because 7 is not equivalent to 1 ( mod 4 ).< ref > Instead of applying this characterization of odd prime moduli for which − 1 is a square, one could just check that the set of squares in is the set of classes of 0, 1, 4, and 2, which does not include the class of − 1 ≡ 6 .</ ref >
Instead, individual flight crew members were assigned backups who could take their place within the prime crew.
Instead he brought in yet another prime minister, Giral, and the government began to " arm the people "; that is, distribute arms to Socialist and Communist party militias.
Instead, some of the statements turn out to be equivalent to the axiom of choice ( AC ), while others — the Boolean prime ideal theorem, for instance — represent a property that is strictly weaker than AC.
Instead, he proposed the idea of having two prime ministers, one for each wing, this proposal met with heated criticism by East-Pakistan, leading Bhutto to sent his most trusted companion, dr. Mubashir Hassan, an amid fear of civil war.
Instead of informing the president's staff with reports directly concerning Chirac, Cousseran informed only Socialist prime minister Lionel Jospin just as he was making it clear that he would run against Chirac in the 2002 presidential election.
Instead of looking for from the outset, we find many where the y have small prime factors, and try to multiply a few of these together to get a square on the right-hand side.
Instead, Hall continued to make guest appearances on a variety of prime time shows until March 1991, when she made a dramatic return to Days of our Lives.
Instead, fiscal policy ( i. e., deficit spending ) or monetary policy is needed to " prime the pump " or " jump-start the economy " to abolish cyclical unemployment and the " GDP gap.
Instead of rotating one position, any number relatively prime to will generate a complete schedule.
Instead and numbers
Instead of linking the nine numbers of this diagram with the traditional Nine Provinces, as was usually done, this equated the odd, Yang numbers with mountains ( firm and resistant, hence Yang ) and the even numbers with rivers ( sinuous and yielding, hence Yin ) ; ;
Instead of impulses, usually the sequence of numbers update the analog voltage at uniform sampling intervals.
Instead of the full-size numbers centred on the front of the jersey, the team logos took precedence, with a smaller number over the right collarbone area.
Instead of formulas with one free variable, formulas with k free number variables are used to define the arithmetical hierarchy on sets of k-tuples of natural numbers.
Instead of addressing small numbers of college boys, you will be able to address large audiences of men.
Instead, papers are distributed in hard copy and speakers call out paragraph numbers to call attention to their most salient points.
Instead of being considered as a subset of the natural numbers, it is also possible to encode 0 < sup >#</ sub > as a subset of formulas of a language, or as a subset of the hereditarily finite sets, or as a real number.
Instead, the Bloc produced large numbers of copies of small booklets that outlined the policies within the large platform.
Instead of the large numbers of guns of rather small bore that had characterized warships in the past, Ericsson opted for only two guns of large caliber ; he wanted to use guns, but had to settle for Dahlgren guns when the larger size were unavailable.
Instead of enumerating reachable states one at a time, the state space can sometimes be traversed much more efficiently by considering large numbers of states at a single step.
Instead of the triple arrangements of stamens and pistil parts, they have indefinite numbers arranged in spirals.
Instead of replacing numbers that have 3 or 5 as a factor, the game can be played by replacing numbers containing the digit 3 or 5 with " bizz " or " buzz ".
Instead, they decided to combine the two technologies, and used MICR-printed account numbers which could be read by a magnetic reader similar to those in a cassette tape recorder.
Instead of numbers, other sensory or cognitive dimensions can be used to match a stimulus and the method then becomes " magnitude production " or " cross-modality matching ".
Instead of reducing numbers through direct mortalities, the study shows that fishing activities have disrupted the reproductive output of the north-eastern pantropical spotted dolphin.
Instead of numerical longitudes and latitudes, a grid with 30 rows and 30 columns-each cell denoted by the numbers 0-9 and the twenty consonants of the Latin alphabet-is laid over the flattened globe.
Instead of being numbered, routes have a combination of letters and numbers.
Instead of defining these two rotational quantum numbers for two independent axes, we associate one quantum number () with the total angular momentum of the molecule and the other quantum number () with the angular momentum of the axis that has different moment of inertia ( i. e., axis for oblate symmetric top and axis for prolate symmetric tops ).
Instead of shields, the numbers will be on a rectangular background outlined in white.
Instead of using random or system generated part numbers at specific locations to count, they selectively choose specific locations and count everything in those locations.
Instead, keyboard letters and numbers are used.
4.702 seconds.