Jet manifold associated to a Weil bundle
Given a Weil algebra and a smooth manifold , we prove that the set of kernels of regular -points of , , has a differentiable manifold structure and is a principal fiber bundle.
-modules, contact valued calculus and Poincaré-Cartan form
Wheeling around von Neumann-Jordan constant in Banach spaces
In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants.
The contact system for -jet manifolds
Jets of a manifold can be described as ideals of . This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered -jet spaces, where is a Weil algebra. We will need to introduce the concept of derived algebra.
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Approximate Aggregation Methods in Discrete Time Stochastic Population Models
Approximate aggregation techniques consist of introducing certain approximations that allow one to reduce a complex system involving many coupled variables obtaining a simpler ʽʽaggregated systemʼʼ governed by a few variables. Moreover, they give results that allow one to extract information about the complex original system in terms of the behavior of the reduced one. Often, the feature that allows one to carry out such a reduction is the presence...
Two variations of the Public Good Index for games with a priori unions
Soft Computing Techniques for Autonomous Driving.
Inner actions and Galois -objects in a symmetric closed category
On Galois -objects and invertible -modules
About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras
The only global contact transformations of order two or more are point transformations.
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