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Page "Lenstra elliptic curve factorization" ¶ 25
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Now and instead
Now one hears that heat and hot water are used instead.
Now as you step inside, instead of seeing particles orbiting around like planets, you see waves and ripples very much like the ripples that you get on the surface of a pond when you drop a stone into it.
It has become a trademark feature of his books that instead of a picture of the artist, there is an elaborately decorated rectangle sporting the words " Now Printing ".
Now instead, suppose David in the cut-off position ( to the right of the button ) has the same < font color = red > K ♥</ font > J ♠ and all players fold to him.
Now the term R & B is almost always used instead of the full rhythm and blues, and mainstream use of the term usually refers to contemporary R & B, which is a newer version of soul and funk-influenced pop music that originated as disco faded from popularity.
Now rare, it is also known as a left-handed marriage because in the wedding ceremony the groom traditionally held his bride's right hand with his left hand instead of his right.
Now that he had free time, he began constructing equipment for his own use instead of selling it to others.
Now, if rain falls a white flag is shown, indicating that riders can pit to swap the motorcycle on which they started the race for an identical one, as long as the tyres are different ( that is, intermediates instead of wets, or slicks instead of wets ).
Now, instead of cutting and splicing tape sections or constantly backspinning 2 records at the same time, a computer program can be used to cut, paste, and loop breakbeats endlessly.
51: 59 is rendered in the Revised Version, " Now Seraiah was chief chamberlain ," instead of " was a quiet prince ," as in the Authorized Version.
Now, instead of telling Black Hawk to turn back, Wabokieshiek told him that, as long as the British Band remained peaceful, the Americans would have no choice but to let them settle at Prophetstown, especially if the British and the area tribes supported the band.
Now most of the growth is centered along Gratiot Avenue instead of Main Street.
For example, instead of saying " Now I would gladly hear your advice on this matter ", the duchess of Amalfi says: " Now I would fain hear from thee that which thou counsellest thereanent.
He was nominated twice in this category but ended up winning the award for Apocalypse Now instead.
Now faced with the prospect of calling themselves " The Doobie Brothers " with no remaining original members, a sound that was light years away from their original version and a " leader " in McDonald who was ready for a solo career, the group elected instead to disband.
Now wanted by the Japanese and Chinese authorities, their funders turn away from them and instead choose to support socialist electoral politics to further their cause.
( Yes, it is Apocalypse Now, complete with all the famous quotes and mishaps during filming, albeit in Romania instead of the Philippines.
Now instead of computing the actual value of M ' and 2 * M ' and the sine terms for every new or full moon, we can use the fact that these approximately repeat every full moon cycle.
Now that James IV was dead, Antoine d ' Arces promoted the appointment of John Stewart, Duke of Albany, a grandson of James II of Scotland as Regent to rule Scotland instead of Margaret and her son.
Now backed by a company dedicated to their work, Gilbert, Sullivan and Carte were able to select their own cast, instead of using the players under contract to the theatre where the work was produced, as had been the case with their earlier works.
< sup > 3 </ sup > The first line of this song is often erroneously sung as " Now wouldn't you like to rule the roost " instead of " roast " ( rhymes with " clear the coast " in the next couplet ).
Now billed as Esther Phillips instead of Little Esther, she recorded a country tune, " Release Me ," with producer Bob Gans.

Now and studying
Now released from the educational strictures imposed by his parents, he enjoyed studying for the first time and performed satisfactorily in examinations.
Now studying A-level music and English, she became popular in Dublin's cabaret and folk clubs.
Now studying for an MPhil in Anthropology at Oxford University.
Now, part of an international network of long-term study sites, the Hövsgöl LTERS provides a stage for nurturing Mongolia's scientific and environmental infrastructures, studying climate change and developing sustainable responses to some of environmental challenges facing the lake and its watershed.
Now, National-Anarchists in the U. S. are carefully studying the successes and failures of their more prominent international counterparts as they attempt to similarly win converts from the radical environmentalist and white nationalist movements in the U. S.

Now and points
Now let us imagine a wing of B-52's, on alert near their `` positive control ( or fail-safe ) points '', the spots on the map, many miles from Soviet territory, beyond which they are forbidden to fly without specific orders to proceed to their targets.
Now Af and Af must both be tangent points on the T component in the f-plane ; ;
Now consider an arbitrary line, l, meeting Q in two points, Af and Af.
Now for the good points.
Now form average over positive and negative points only
Now that trains are all ' fitted ', catch points are mostly obsolete.
Now that these two points have been established, we can examine some of the epigenetic mechanisms that are thought to regulate cellular differentiation.
Now, assuming declarer wins by taking 95 points in tricks, after having declared Hand and Schneider, the actual value of the hand will be as follows:
Now for the special cases — if you think you can do more than just win, you can add in points for the special cases.
Now assume that area is equal to, and say there is a density α of points such that.
Though indignant at first, she is persuaded to keep the men's secret when her daughter points out that if Hilarion is able to woo Princess Ida, Blanche will become head of the university ( Now, wouldn't you like to rule the roast?
Now suppose ƒ is a bijective function from Z ( the positive integers ) to X. Denote the points of the image of Z under ƒ as
Now let us choose triangulations of S and S ′ with vertices at the branch and ramification points, respectively, and use these to compute the Euler characteristics.
Now, for five trivia points where is the International Armadillo Confab and Exposition held?
Now a robust 20 years old, he averaged 11. 7 points and 7. 9 rebounds and ranked second in the league in field-goal percentage at. 575.
Now, a student must answer at least 14 questions correctly to reach 100 points.
Now identify spherical triangles by identifying the north pole to the south pole and the points a < sub > i </ sub > with a < sub > i + q </ sub > and a < sub > i + 1 </ sub > with a < sub > i + q + 1 </ sub >.
Now consider the graph formed by using the n points as vertices, and the e line segments
Informally, to estimate the area of a domain D, first pick a simple domain E whose area is easily calculated and which contains D. Now pick a sequence of random points that fall within E. Some fraction of these points will also fall within D. The area of D is then estimated as this fraction multiplied by the area of E.
Now armed with new tyres himself, Coulthard had the measure of Schumacher, and although the pair circulated nose-to-tail for the remainder of the race, Coulthard recorded his first victory for over a year, while Michael Schumacher's second position extended his championship lead to 33 points.
More skill could be exhibited ( and more points awarded ) by ignoring the " Land Now!
In God and Empire: Jesus Against Rome, Then and Now ( 2007 ), Crossan starts with the presumption of reader familiarity with key points from his earlier work on the nonviolent revolutionary Jesus, his Kingdom movement, and the surrounding matrix of the Roman imperial theological system of religion, war, victory, peace, but discusses them in the broader context of the escalating violence in world politics and popular culture of today.
That is, unless F is actually constant, we have to attribute to F the value ∞ at some points of V. Now in some sense F is no worse behaved at those points than anywhere else: ∞ is just the chosen point at infinity on the projective line, and by using a Möbius transformation we can move it anywhere we wish.

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