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[PDF] Top 20 A proof of Morse's theorem about the cancellation of critical points

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A proof of Morse's theorem about the cancellation of critical points

A proof of Morse's theorem about the cancellation of critical points

... 6 Proof. Since a is a regular value, the disk D(q) can be extended (keeping its name) so that its boundary lies in {f = a + ε}, for some small ε > ...decreasing the ... Voir le document complet

7

A proof of Reidemeister-Singer's theorem by Cerf's methods

A proof of Reidemeister-Singer's theorem by Cerf's methods

... - the critical points of f t j are all non-degenerate except one whose Hessian has corank 1; this point will be said a cubic critical ...speaking of a generic path ... Voir le document complet

19

A Morse-Sard theorem for the distance function on Riemannian manifolds

A Morse-Sard theorem for the distance function on Riemannian manifolds

... manifold of any ...Our proof is mainly based on the Yomdin’s method which relies on semialgebraic sets, and on a result by Itoh and Tanaka [7], which established the Lipschitz ... Voir le document complet

14

Some old and new results about rigidity of critical metric.

Some old and new results about rigidity of critical metric.

... In a future work, we intend to consider applications of these ideas to the question of convergence of Einstein/critical metric in dimension n > 4 in the spirit ... Voir le document complet

19

Critical and ramification points of the modular parametrization of an elliptic curve

Critical and ramification points of the modular parametrization of an elliptic curve

... particular points of the modular ...for a fixed elliptic curve E, the questions and the problems we are interested in are to determine the critical points, ... Voir le document complet

17

Analysis of critical points for nonconvex optimization

Analysis of critical points for nonconvex optimization

... behavior of noncooperative network users and has been the subject of much recent study (see, for example, Roughgarden [43, 44], Roughgarden-Tardos [45, 46], Acemoglu-Ozdaglar [2, ...Third, the ... Voir le document complet

125

About a Brooks-type theorem for improper colouring

About a Brooks-type theorem for improper colouring

... About a Brooks-type theorem for improper colouring ∗ Ricardo Corrˆ ea † Fr´ ed´ eric Havet ‡ Jean-S´ ebastien Sereni § Abstract A graph is k-improperly `-colourable if its vertices can be ... Voir le document complet

13

The Three Gap Theorem : Specification and Proof in Coq

The Three Gap Theorem : Specification and Proof in Coq

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ... Voir le document complet

34

A corrected quantitative version of the Morse lemma

A corrected quantitative version of the Morse lemma

... Having a formalized certified proof raises interesting questions about the way to write ...convince a reader (or a referee!) that the result is correct, as we have already ... Voir le document complet

11

A new Levinson's theorem for potentials with critical decay.

A new Levinson's theorem for potentials with critical decay.

... prove Theorem 1.1, we use the result of [25] on the high energy asymptotics of ξ ′ ...(λ). The main task of our work is to analyze the spectral shift function in ... Voir le document complet

40

The proof-theoretic strength of Ramsey's theorem for pairs and two colors

The proof-theoretic strength of Ramsey's theorem for pairs and two colors

... Ramsey’s theorem for n-tuples and k-colors (RT n k ) asserts that every k-coloring of [ N] n admits an infinite monochromatic ...Ramsey’s theorem is probably the most famous theorem ... Voir le document complet

33

About the second theorem of welfare economics with stock markets

About the second theorem of welfare economics with stock markets

... consist of: (1) defining an equilibrium in a stochastic production economy with stock markets, then (2) checking whether the Second Theorem of Welfare Economics can be extended to this ... Voir le document complet

20

Chromatic Variants of the Erdös-Szekeres Theorem on Points in Convex Position

Chromatic Variants of the Erdös-Szekeres Theorem on Points in Convex Position

... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ... Voir le document complet

20

Smooth critical points of planar harmonic mappings

Smooth critical points of planar harmonic mappings

... studies the local properties of light harmonic ...their critical points and accordingly studies their topological and geometrical ...aim of our work is to shed some light on the ... Voir le document complet

37

A conjecture on the 2-abelian complexity of the Thue-Morse word

A conjecture on the 2-abelian complexity of the Thue-Morse word

... ∈ A k , the number of occurences of w in u and in v coincide, |u| w = |v | w ...Example A = {a, b}, u = abbabaabb, v = aabbabbab, u ≡ 2 v because pref 1 (u) = a = pref 1 ... Voir le document complet

20

A Proof of the Barát–Thomassen Conjecture

A Proof of the Barát–Thomassen Conjecture

... sketch of proof In our proof of Theorem 7, a T -decomposition of a graph G is obtained in two steps, which we describe more formally ...In the first step we ... Voir le document complet

17

A PROOF OF THE FINITE FILLING CONJECTURE

A PROOF OF THE FINITE FILLING CONJECTURE

... arise. The proof of the theorem is therefore ...our proof of the finite filling conjecture in what remains of the introduc- tion, and then describe ... Voir le document complet

80

A New Proof Of The Maximum Principle

A New Proof Of The Maximum Principle

... A New Proof Of The Maximum Principle Ngo Van Long * and Koji Shimomura † Résumé / Abstract Nous donnons une preuve nouvelle du principe de maximum pour les problèmes de contrôle optimal aux ... Voir le document complet

8

Gravettian Projectile Points: Considerations About the Evolution of Osseous Hunting Weapons in France

Gravettian Projectile Points: Considerations About the Evolution of Osseous Hunting Weapons in France

... standardization of Gravettian points as against Aurignacian points cannot only be explained in terms of a change in debitage method (though shaping also plays a major role), DLG ... Voir le document complet

20

A simple proof of the completeness of APAL

A simple proof of the completeness of APAL

... is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or ...not. The documents may come from teaching ... Voir le document complet

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