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Here, ζ ( s ) is the usual Riemann zeta function and L ( s, E ) is called the L-function of E / Q, which takes the form
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Here and ζ
Here, B < sub > n </ sub > are the Bernoulli numbers, ζ ( z ) is Riemann's zeta function and σ < sub > p </ sub >( n ) is the divisor sum function, the sum of the p < sup > th </ sup > powers of the divisors of n. In particular, one has
Here the denominator s, assuming that r / s is in lowest terms, turns out to determine the relative importance of the singular behaviour of typical f near ζ.
Here and s
Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.
The main recent sense of the word “ art ” is roughly as an abbreviation for creative art or “ fine art .” Here we mean that skill is being used to express the artist ’ s creativity, or to engage the audience ’ s aesthetic sensibilities, or to draw the audience towards consideration of the “ finer ” things.
Here he found the first pirate of his voyage, Robert Culliford, ( the same man who had stolen Kidd ’ s ship years before ) and his crew aboard the Mocha Frigate.
beautiful whelks, a penny a lot .” “ Here ‘ s ha ‘ p ‘ orths ,” shouts the perambulating confectioner.
Here the Jose Abad Santos Falls present one of the nation ’ s scenic wonders at the gateway to a 200-hectare national park development.
Here the notion of causality is one of contributory causality as discussed above: If the true value, then a change in will result in a change in y unless some other causative variable ( s ), either included in the regression or implicit in the error term, change in such a way as to exactly offset its effect ; thus a change in is not sufficient to change y.
Here, she created her own moves, imitated the famous dancers she watched in the movies, and taught “ Sister ’ s ” waltz clog.
*" Sweet 16: A-list Cinematographers Say the Emulsion ’ s Never Looked So Good, Here ’ s Why ...", written February 1, 2005 and accessed December 29, 2005.
Gene Green ’ s 1917 " From Here to Shanghai ", which featured faux-Chinese scatting, and Gene Rodemich's 1924 " Scissor Grinder Joe " and " Some of These Days " also pre-date Armstrong.
Here he participated in the shambolic acts that crippled the empire ’ s eastern provinces, including his strategic retreat when Caesar John Doukas was confronting Norman mercenary rebels, resulting in the humiliating defeat of the Byzantine army, and the capture of John Doukas.
Bert Berns, Them ’ s producer and composer of their 1965 hit, " Here Comes the Night ", persuaded Morrison to return to New York to record solo for his new label, Bang Records.
Here, Route 28 heads east through residential and commercial areas before turning northeast to closely parallel New Jersey Transit ’ s Raritan Valley Line ( which runs to the south of the route ) as North Avenue.
Shaffer's memoir, We'll Be Here for the Rest of Our Lives: A Swingin ' Show-biz Saga ( co-authored by David Ritz ) was published by Flying Dolphin Press ( an imprint of Random House Inc .' s Doubleday Broadway Publishing Group ) on October 6, 2009.
Here and is
Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.
Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.
Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.
Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.
But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.
Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;
Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.
Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).
Here there is a specific preventive component which applies in a more generalized sense to any casework situation.
Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.
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