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Weil and realized
It was then Weil realized he should not be communicating to this student in such a manner.

Weil and prove
It is also easy to prove the Weil conjectures for other spaces, such as Grassmannians and flag varieties, which have the same " paving " property.
* was able to prove the hard Lefschetz theorem ( part of Grothendieck's standard conjectures ) using his second proof of the Weil conjectures.
* used the Weil conjectures to prove estimates for exponential sums.
In the early 1940s, Weil used the first definition ( over an arbitrary base field ) but could not at first prove that it implied the second.
In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil conjectures.
Étale cohomology was suggested by, using some suggestions by J .- P. Serre, and was motivated by the attempt to construct a Weil cohomology theory in order to prove the Weil conjectures.
Grothendieck used étale cohomology to prove some of the Weil conjectures

Weil and such
For drivers, the main route through the region is the rapid A 5 ( E35 ) motorway, but a variety of sign-posted scenic routes such as the Schwarzwaldhochstraße (, Baden-Baden to Freudenstadt ), Schwarzwald Tälerstraße (, the Murg and Kinzig valleys ) or Badische Weinstraße ( Baden Wine Street,, a wine route from Baden-Baden to Weil am Rhein ) offers calmer driving along high roads.
With less time to spend songwriting as she focused on a burgeoning film career, during the early 1980s Parton recorded a larger percentage of material from noted pop songwriters, such as Barry Mann and Cynthia Weil, Rupert Holmes, Gary Portnoy and Carole Bayer Sager.
Recently, a large number of cryptographic primitives based on bilinear mappings on various elliptic curve groups, such as the Weil and Tate pairings, have been introduced.
The songs on the album were written by such people as Tony Romeo, Terry Cashman, Tommy West, Barry Mann, and Cynthia Weil.
) It contained a few cover versions of some classic songs such as " Walking in the Rain " written by Barry Mann, Cynthia Weil, and Phil Spector.
According to several Weil scholars such as Eva Fogelman and Robert Coles, this experience may well be related to the exceptionally strong altruism displayed throughout her life.
With the Melos Ensemble he recorded chamber music for both woodwinds and strings, such as Ravel's Introduction and Allegro along with Osian Ellis ( harp ), Gervase de Peyer ( clarinet ), Emanuel Hurwitz and Ivor McMahon ( violin ), Cecil Aronowitz ( viola ) and Terence Weil ( cello ).
Weil conjectured that such zeta-functions should be rational functions, should satisfy a form of functional equation, and should have their zeroes in restricted places.
To see the relation of these sets to the Weil conjectures, notice that if α and are both in, then there exist x and y in Z / pZ such that x < sup > 3 </ sup > = α and y < sup > 3 </ sup > = α + 1 ; consequently, x < sup > 3 </ sup > + 1 = y < sup > 3 </ sup >.
In practice it is this generalization rather than the original Weil conjectures that is mostly used in applications, such as the hard Lefschetz theorem.
After his return, there were heated arguments with authors such as Jiří Weil and Jan Slavik, who criticized developments under Joseph Stalin.
The most efficient identity-based encryption schemes are currently based on bilinear pairings on elliptic curves, such as the Weil or Tate pairings.
This has many applications, such as the proof of the Weil conjectures and the construction of representations of finite groups of Lie type.
( One reason for this is that Weil suggested that the Weil conjectures could be proved using such a cohomology theory.
The general idea is that one motive has the same structure in any reasonable cohomology theory with good formal properties ; in particular, any Weil cohomology theory will have such properties.
Pupils such as Avigdor Arikha, Naftali Bezem, Shraga Weil and Shmuel Boneh absorbed these influences and integrated them into their later work.
Sage Weil developed such a script in May 1994.
A study by Kirchner and Anne Weil showed that the time taken for life on earth to recover from extinction episodes such as that which destroyed the dinosaurs is not, as previously thought, proportional to the damage done.
It has served as the production entity for network shows on the ARD, such as Verbotene Liebe, which over the years has exposed many young actors to the German audience, such as Andreas Stenschke, Jo Weil, Luca Zamperoni and Kay Böger.
In relation with differential geometry ( Chern – Weil theory ) and the theory of Grassmannians, a much more hands-on approach to the theory is possible for cases such as the unitary groups that are of greatest interest.

Weil and one
This was one of the clues leading to the Weil conjectures.
Perhaps the one purely negative trait Weil acquired from her family home was an obsession with cleanliness ; in her later life she would sometimes speak of her " disgustingness " and think that others would see her this way, despite that fact that in her youth she was considered highly attractive.
On September 9, 1912, Estrada confessed to THE NEW YORK TIMES the origin of this money: he had been given a million dollars by the Yankee companies located in Nicaragua ; two hundred thousand dollars from the firm of Joseph Beers and one hundred fifty thousand dollars from Samuel Weil.
His book L ' analysis situs et la géométrie algébrique from 1924, though opaque foundationally given the current technical state of homology theory, was in the long term very influential ( one could say that it was one of the sources for the eventual proof of the Weil conjectures, through SGA7 ).
In this way one gets a respectable definition of Hasse – Weil L-function for A.
This explains why Weil was able to give a more elementary proof of the Weil conjectures in these two cases: in general one expects to find an elementary proof whenever there is an elementary description of the ℓ-adic cohomology.
Maurice Weil, one of Esterhazy's intimate friends, sent to the minister of war an anonymous letter which he had just received and which warned him that Castelin intended to denounce Esterhazy and Weil as accomplices of Dreyfus.
Zero leads the group towards Neo Arcadia to make peace but are interrupted by a massive Reploid called Omega, and the enigmatic Dr. Weil, the one X spoke of who controlled the Dark Elf.
According to Philip Roth ( who was largely responsible for introducing Weil to American readers ) the book is " without a doubt, one of the outstanding novels I've read about the fate of a Jew under the Nazis.
In 2008, AMO curated the exhibition ' Dubai Next ' at the Vitra Design Museum in Weil am Rhein, and was one of the editors on the book Al Manakh, which details the rapid transformation of the Gulf region.
In 1934 he was one of the group of normaliens convened by Weil, which would become ' Bourbaki '.
In mathematics, the Hasse – Weil zeta function attached to an algebraic variety V defined over an algebraic number field K is one of the two most important types of L-function.
This is because the Weil pairing or Tate pairing can be used to solve the problem directly as follows: given on such a curve, one can compute and.
Gil Ozir, Vice President of Marketing for Raymond Weil, a luxury watchmaker and one of Gulbis ' endorsement deals, was quoted as saying, " Once she starts winning, she's going to be a megastar ".
Weil became one of the Brill Building songwriters of the 1960s, and one of the most important writers during the emergence of rock and roll.
In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties ; two different generalizations are in common use, Cartier divisors and Weil divisors ( named for Pierre Cartier and André Weil ).
A Weil divisor is a locally finite linear combination ( with integral coefficients ) of irreducible subvarieties of codimension one.
An effective Weil divisor is then one in which all the coefficients of the formal sum are non-negative.

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