The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...

A bstract Recasting phenomenological Lagrangians in terms of SM effective field theory (SMEFT) provides a valuable means connecting potential BSM physics at momenta well above the electroweak scale to experimental signatures lower energies. In this work we jointly fit Wilson coefficients SMEFT operators as PDFs an extension CT18 global analysis framework, obtaining self-consistent constraints p...

In big-data era, large amount of facial images could be used to breach the face identification system, which demands effective Face IDentification Differential Privacy (FaceIDP) for widespread adoption technique. this paper, our best knowledge, we take first step systematically study an important FaceIDP approach via help Dictionary Learning (DL) secure releasing images. First, a neural Network...

Recent years have seen a renewed interest in experimental tests of Lorentz and CPT symmetry. Observable signals of Lorentz and CPT violation can be described in a modelindependent way using effective field theory (Kostelecký and Potting, 1995). The general realistic effective field theory for Lorentz violation is called the standard-model extension (SME) (Colladay and Kostelecký, 1997; 1998; Ko...

The credit for introducing the geometry of Lagrange spaces and their subspaces goes to the famous Romanian geometer Miron 1 . He developed the theory of subspaces of a Lagrange space together with Bejancu 2 . Miron and Anastasiei 3 and Sakaguchi 4 studied the subspaces of generalized Lagrange spaces GL spaces in short . Antonelli and Hrimiuc 5, 6 introduced the concept of φ-Lagrangians and stud...

A parallel nonoverlapping subdomain Schwarz alternating algorithm with Lagrange multipliers and interface relaxation is proposed for linear elliptic interface problems with discontinuities in the solution, its derivatives, and the coefficients. New features of the algorithm include that Lagrange multipliers are introduced on the interface and that it is used to solve equations with discontinuou...

We give a survey of the Lagrange inversion formula, including different versions and proofs, with applications to combinatorial and formal power series identities.

This work presents a study of finite-time horizon stochastic control problem with restrictions on both the reward and cost functions. To this end, it uses standard dynamic programming techniques, an extension classic Lagrange multipliers approach. The coefficients considered here are supposed to be unbounded, obtained strategies non-stationary closed-loop type. driving thread paper is sequence ...

Abstract This paper develops a subgraph random effects error components model for network data linear regression where the unit of observation is node. In particular, it allows link and triangle specific components, which serve as basal modeling effects. It then evaluates potential ignoring in estimation coefficients’ variance-covariance matrix. also proposes consistent estimators variance usin...