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Page "Lenstra elliptic curve factorization" ¶ 54
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Any and elliptic
Any differential operator exhibiting this property is called a hypoelliptic operator ; thus, every elliptic operator is hypoelliptic.
Any first order equation is degenerate elliptic.

Any and curve
Any young player who has good control will become a successful curve pitcher long before the pitcher who is endeavoring to master both curves and control at the same time.
Any market structure characterized by a downward sloping demand curve has market power – monopoly, monopolistic competition and oligopoly.
Any point on the frontier curve is Pareto efficient.
Any curve on the sphere that does not intersect either pole, except possibly at the endpoints, can be parametrized by
Any non-singular curve on a smooth surface will have its tangent vector T lying in the tangent plane of the surface orthogonal
According to the historian of science Norwood Russell Hanson: There is no bilaterally-symmetrical, nor excentrically-periodic curve used in any branch of astrophysics or observational astronomy which could not be smoothly plotted as the resultant motion of a point turning within a constellation of epicycles, finite in number, revolving around a fixed deferent. Any path — periodic or not, closed or open — can be represented with an infinite number of epicycles.
Any timelike curve admits a comoving observer whose " time axis " corresponds to that curve, and, since no observer is privileged, we can always find a local coordinate system in which lightcones are inclined at 45 degrees to the time axis.
Any continuous curve connecting the origin z
Any conic section defined over F with a rational point in F is a rational curve.
Any such change would have no effect on the shape of the SRVC curve and therefore its slope at any point-MC.
Any continuous deformation of the curve above is also considered a trefoil knot.
Any velocity can be interpreted as the slope of a curve ; in geometric units, slopes are evidently dimensionless ratios.
Any regular curve may be parametrized by the arc length ( the natural parametrization ) and from the point of view of a bug on the curve that does not know anything about the ambient space, all curves would appear the same.
Any time we choose a point that is rejected, we tighten the envelope with another line segment that is tangent to the curve at the point with the same x-coordinate as the chosen point.
Any deviations from a smooth curve will cause the airflow over the leeward side of the sail to separate causing a reduction in lift and reduced performance.
Any Walrasian equilibrium lies on the contract curve.
Any such surface is the Kummer variety of the Jacobian of a smooth hyperelliptic curve of genus 2 ; i. e. a quotient of the Jacobian by the Kummer involution x ↦ − x.
Any curve on a del Pezzo surface has self intersection number at least − 1.
Any curve on a weak del Pezzo surface has self intersection number at least − 2.
Any finite graph has a finite ( though perhaps exponential ) number of distinct simple cycles, and if the graph is embedded into three-dimensional space then each of these cycles forms a simple closed curve.
Any closed curve within the plane bounds a disk below the plane that does not pass through any other graph feature, and any closed curve through the apex bounds a disk above the plane that does not pass through any other graph feature.

Any and Edwards
" Any dating of Hamlet must be tentative ", cautions the New Cambridge editor, Phillip Edwards.
FanMail was another success for TLC, debuting at No. 1 on the Billboard 200 album sales chart and selling over 6 million copies in the U. S. The album featured the number-one hit " No Scrubs ", produced by Kevin " She ' kspere " Briggs, and the single " Unpretty ", an alternative rock-styled song about self-love written by Watkins and Dallas Austin ( another version of it sampled Dennis Edwards ' 1984 hit " Don't Look Any Further "), that also reached # 1 on the Billboard chart.
The band's next album, Miracle, released in 1987, spawned two US hit singles: " Motortown " (# 36 US / # 45 UK ) and another cover-this time of Dennis Edwards ' " Don't Look Any Further " (# 64 US / # 52 UK ).
The song was produced by long-time collaborator Johnny " J " and samples the bassline from " Don't Look Any Further " by Dennis Edwards.
The bassline in " Hit ' Em Up " is sampled from the 1984 song " Don't Look Any Further " by Dennis Edwards, which is also notably sampled by The Notorious B. I. G.
Her hits include " Don't Look Any Further " with Dennis Edwards (# 72 pop, # 2 R & B in 1984 ); " Do You Want It Right Now?
* " Don't Look Any Further " ( Dennis Edwards featuring Siedah Garrett ) ( Motown, 1984 )
# Don't Look Any Further-Dennis Edwards & Siedah Garrett

Any and form
The prohibition against retaliation or coercion applies broadly to any individual or entity that seeks to prevent an individual from exercising his or her rights or to retaliate against him or her for having exercised those rights ... Any form of retaliation or coercion, including threats, intimidation, or interference, is prohibited if it is intended to interfere.
Any form of intelligent life would do ; so, specifying carbon-based life, per se, is irrelevant.
Any Banach algebra ( whether it has an identity element or not ) can be embedded isometrically into a unital Banach algebra so as to form a closed ideal of.
Any piece of DNA with the point centromere DNA sequence on it will typically form a centomere if present in the appropriate species.
Any convex polyhedron can be distorted into a canonical form, in which a midsphere ( or intersphere ) exists tangent to every edge, such that the average position of these points is the center of the sphere, and this form is unique up to congruences.
Any form of energy may be transformed into another form.
Any of the several well-known axiomatisations will do ; we assume without proof all the basic well-known results about our formalism ( such as the normal form theorem or the soundness theorem ) that we need.
The director, Terry Jones, issued the following riposte to this criticism: " Any religion that makes a form of torture into an icon that they worship seems to me a pretty sick sort of religion quite honestly ".
The Nijmegen Statement said: " Any form of Inquisition however subtle, not only harms the development of sound theology, it also causes irreparable damage to the credibility of the church ".
Any agency wanting to read PGP messages would probably use easier means than standard cryptanalysis, e. g. rubber-hose cryptanalysis or black-bag cryptanalysis i. e. installing some form of trojan horse or keystroke logging software / hardware on the target computer to capture encrypted keyrings and their passwords.
Any form of triangle that we experience will be an imperfect representation of the ideal triangle.
Any age statement on a bottle of Scotch whisky, expressed in numerical form, must reflect the age of the youngest whisky used to produce that product.
In subsequent films like Any Gun Can Play, One Dollar Too Many and Kill Them All and Come Back Alone several main characters repeatedly form alliances and betray each other for monetary gain.
: Any form of removable court covering, including carpeting and artificial turf.
Any carbon that was fixed in organic form would be liberated as carbon dioxide again through combustion, " short-circuiting " the terraforming process.
Any information retrievable by any form of energy can be machine-readable.
* Any thought or idea expressed in a language, prepared in a form suitable for transmission by any means of communication.
Any energy released by the explosion not radiated away in the burst itself takes the form of matter or energy moving outward at nearly the speed of light.
Any statement of the form " for any number x ..." that is true for the reals is also true for the hyperreals.
::( c ) Any form of population transfer which has the aim or effect of violating or undermining any of their rights ;
::( d ) Any form of assimilation or integration by other cultures or ways of life imposed on them by legislative, administrative or other measures ;
::( e ) Any form of propaganda directed against them.
Any form of PPE that acts as a barrier between the skin and the agent of exposure can be considered skin protection.

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