财主
发表于 2025-3-23 10:32:52
Combinatorial Formulas for Products of Thom Classese moment map associated with its action on . is a perfect Morse function. Let {. .;.∈ . .} be the Morse-Whitney stratification of . associated with this function and let τ. be the equivariant Thom class dual to . .. These classes form a basis of . .(.) as a module over . and, in particular, . with .
semble
发表于 2025-3-23 17:37:56
Gauge Theory of Small Vibrations in Polyatomic Moleculess and their privileged status are given a geometrical interpretation (the Eckart coordinates are shown to be Riemann normal co-ordinates and the Eckart frame is a non-Abelian version of Poincarù gauge). The Hamiltonian is developed in covariant Taylor series and averaged over rapid vibrations to sec
极大痛苦
发表于 2025-3-23 20:49:52
http://reply.papertrans.cn/39/3839/383850/383850_13.png
STERN
发表于 2025-3-24 02:07:52
The Lagrangian Averaged Euler (LAE-α) Equations with Free-Slip or Mixed Boundary Conditionsundary conditions, and in the process describe certain features of the Riemannian geometry of new subgroups of the volume-preserving diffeomorphism group, corresponding to free-slip or mixed-type boundary data, thus answering in the affirmative a conjecture of Holm, Marsden, and Ratiu .
PLUMP
发表于 2025-3-24 06:21:22
978-1-4419-3034-7Springer Science+Business Media New York 2002
Pert敏捷
发表于 2025-3-24 09:54:14
The Campaign in the Constituencies,We review the computational procedures involved in transforming a vector field into a suitable normal form about a stationary point, and we introduce an algorithm to compute Poincaré-Dulac normal forms in scenarios where the linearization is not in any particular canonical form. Some examples and applications are presented.
canvass
发表于 2025-3-24 10:56:53
http://reply.papertrans.cn/39/3839/383850/383850_17.png
Diastole
发表于 2025-3-24 17:47:15
http://reply.papertrans.cn/39/3839/383850/383850_18.png
摇曳
发表于 2025-3-24 19:59:29
Symmetries, Conservation Laws, and ControlIn this paper we describe various aspects of Jerry Marsden’s work and influence on control theory and its connections with mechanics. In particular we trace the role of his key ideas on reduction and symmetries in the setting of nonlinear control.
CESS
发表于 2025-3-25 02:04:40
http://reply.papertrans.cn/39/3839/383850/383850_20.png