marsden j e lectures on mechanics

... to the Euler equa- tions except that there is a configuration-dependent gravitational moment term in the equations that presumably render the system non-integrable. The evidence that Hyperion tumbles ... calculated. One is then interested in determining the definiteness of the second variation. Definiteness in this context has to be properly interpreted to take into account the conservation of t...

Ngày tải lên: 24/04/2014, 16:49

... Poincare [1910] goes on to study the e ects of the deformation of the earth on its precession—he apparently recognizes the equations as Euler equations on a semidirect product Lie algebra. Poincare ... (material) representation of a fluid to the Eulerian (spatial) representation is an example of Euler–Poincar e reduction. These examples are well known and are spelled out in, for exampl...

Ngày tải lên: 24/04/2014, 16:49

... Since we have already described the general Euler–Poincar e construction on , we turn next to the Hamiltonian counterpart on the dual space. The Abstract Lie-Poisson Equations. Let F, G be real ... equations defines a curve on each three wave surface, in which the K j are set to constants. These three wave surfaces are the symplectic leaves in the four dimensional Poisson space with c...

Ngày tải lên: 24/04/2014, 16:48

Ngày tải lên: 24/04/2014, 17:19

... prévisions de ventes. - En ce qui concerne les tests de concept, une première difficulté se présente; en effet, le client potentiel aura du mal à se projeter dans une expérience de service si elle ... Les services, et notamment les services aux personnes, sont produits et consommés en même temps. Cela induit une grande importance de la gestion de la relation entre le client et le personn...

Ngày tải lên: 06/11/2012, 10:26

... (2α→O→7, 4α→8) afzelechin • Ent-epiafzelechin (2α→O→7, 4α→8) kaempferol • Ent-epiafzelechin (2α→O→7, 4α→8) epicatechin • Ent-epiafzelechin (2α→O→7, 4α→8) epiafzelechin • Ent-epiafzelechin (2α→O→7, ... (mahuannin A) • Ent-epiafzelechin-(4α→8, 2α→O→7)- (+)- afzelechin • Ent-epiafzelechin-(4α→8, 2α→O→7)- (-)- afzelechin • Ent-epiafzelechin-3-O-p-hydroxybenzoat- (4α→8, 2α→O→7)- epiafzelechin...

Ngày tải lên: 18/12/2013, 20:53

... 4α→8) kaempferol • Ent-epiafzelechin (2α→O→7, 4α→8) epicatechin • Ent-epiafzelechin (2α→O→7, 4α→8) epiafzelechin • Ent-epiafzelechin (2α→O→7, 4α→8) catechin • (+)-Catechin • (-)-Epicatechin 67 45 [11], [31] 15 Prunus cerasoides • ... 61 62 63 64 [11] 14 Prunus prostrata • Ent-epiafzelechin (2α→O→7, 4α→8) quercetin • 5,7,2',5'-tetrahydroxy-(2R,3R)-flavan-3-ol • 7-metoxy-(+)-catec...

Ngày tải lên: 18/12/2013, 21:20

... speak here of quasi-field-theoretical because the field φ as such represents a convenient concept. However, it has no dynamical properties, no genuine degrees of freedom. The Newtonian gravitational ... electromagnetic energy–momentum tensor is traceless. Light deflection has been experimentally confirmed beyond doubt. Thus, we have to look for different possibilities in order to interrelate elec...

Ngày tải lên: 19/01/2014, 14:03

... the context of intertemporal consumption choice, the process X is specified in terms of the price deflator; the function f and the measure µ reflect the structure of the agent’s preferences. The ... mathe- matical structure. It raises new questions even in the deterministic case, where it leads to a time–inhomogeneous notion of convex envelope as explained in [5]. In discrete time, existence ......

Ngày tải lên: 22/02/2014, 06:20