Regularization is a required component of geophysical estimation problems that operate with insufficient data. The goal of regularization is to impose additional constraints on the estimated model. I introduce shaping regularization, a general method for imposing constraints by explicit mapping of the estimated model to the space of admissible models. Shaping regularization is integrated in a c...

We study the self-similar solutions for nonlinear Schrödinger type equations of higher order with nonlinear term |u|u by a scaling technique and the contractive mapping method. For some admissible value α, we establish the global well-posedness of the Cauchy problem for nonlinear Schrödinger equations of higher order in some nonstandard function spaces which contain many homogeneous functions. ...

Acyclic Term Graphs are able to represent terms with sharing , and the relationship between Term Graph Rewriting (TGR) and Term Rewrtiting (TR) is now well understood BvEG + 87, HP91]. During the last years, some researchers considered the extension of TGR to possibly cyclic term graphs, which can represent possibly innnite, rational terms. In KKSdV94] the authors formalize the classical relati...

Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction Manning–Mj–Sageev, we give examples separable that free arbitrary finite rank, while prior seem to be virtually cyclic.

We introduce an additive but not F4-linear map S from Fn4 to F 4 and exhibit some of its interesting structural properties. If C is a linear [n, k, d]4-code, then S(C) is an additive (2n, 2 , 2d)4-code. If C is an additive cyclic code then S(C) is an additive quasi-cyclic code of index 2. Moreover, if C is a module θ-cyclic code, a recently introduced type of code which will be explained below,...

In this paper, we introduce the results of best proximity point in G-metric spaces for the cyclic contraction mapping with an example that illustrates the usability of the obtained results. 2010 AMS Subject Classification: 41A65, 46B85, 47H25.

In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system.  In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to...