This motivates the following definition. Definition 1.2. A conserved quantity in a Hamiltonian system is a smooth function f ∈ C∞(M) such that {f,H} = 0. Remark 1.3. If you’re familiar with the Lagrangian model of classical mechanics, you can derive the above setup from a Lagrangian field theory on the real line R, i.e. from classical Lagrangian mechanics. There’s a classical procedure for doin...

Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper, we study a generalization which consists of replacing the tangent bundle by a general tangent manifold, and the Lagrangian by a family...

background: the species of ectoparasites that live on a specific host in a geographical region form an ectoparasite community. species abundance distributions describe the number of individuals observed for each different species that is encountered within a community. based on properties of the species abundance distribution, the expected total number of species present in the community can be...

one of recent developments in modern societies is the evolution in the structure of power division in the family and changes in reciprocal actions between wife and husband. this research aims to study the factors affecting distribution of power in the family by using the theories of: social capital, valuable resources, and sociability of gender. the data has been collected through survey method...