As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...

In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the Doubly Special Relativity dispersion relation in the Magueijo-Smolin framework. At the same time, the symplectic structure induces a Non-Commutative κ-Minkowski spacetme. Hence this model bridges a gap between two conceptually distinct ideas in a natural way. We thoroughly disc...

Although the Lagrangian method is a powerful dual search approach in integer programming, it often fails to identify an optimal solution of the primal problem. The p-th power Lagrangian method developed in this paper ooers a success guarantee for the dual search in generating an optimal solution of the primal integer programming problem in an equivalent setting via two key transformations. One ...

All models containing new physics are highly constrained by the electroweak precision tests. In this note I consider the electroweak precision data constraints on Little Higgs models by using a general method based on the effective Lagrangian approach: one eliminates the heavy fields from the Lagrangian via their classical equations of motion in the limit of infinite mass, which means in practi...

We perform a systematic multiscale analysis for the 2-D incompressible Euler equation with rapidly oscillating initial data using a Lagrangian approach. The Lagrangian formulation enables us to capture the propagation of the multiscale solution in a natural way. By making an appropriate multiscale expansion in the vorticity-stream function formulation, we derive a well-posed homogenized equatio...

The semi-Lagrangian discontinuous Galerkin method, coupled with a splitting approach in time, has recently been introduced for the Vlasov–Poisson equation. Since these methods are conservative, local in space, and able to limit numerical diffusion, they are considered a promising alternative to more traditional semi-Lagrangian schemes. In this paper we study the conservation of important invari...

Using effective field theory methods, we integrate out the standard model Higgs boson to one loop and represent its non-decoupling effects by a set of gauge invariant effective operators of the electroweak chiral Lagrangian. We briefly discuss the relation between the renormalization of both the standard model and the effective theory, which is crucial for a correct understanding and use of the...

We discuss a cosmological scenario in which inflation is driven by a potential which is motivated by an effective Lagrangian approach to gravity. We exploit the recent arguments [1] that an effective Lagrangian Leff which, by definition, contains operators of arbitrary dimensionality is in general not a convergent but rather an asymptotic series with factorially growing coefficients. This behav...

Utilizing a first-order perturbative superspace approach, we derive the bosonic equations of motion for the 10D,N = 1 supergravity fields at both superspace and component field levels. These latter results are then shown to be derivable from a Lagrangian. Our treatment covers both the twoform and six-form formulations. Our Lagrangian, derived from superspace geometry, is compared with a first-o...

This paper proposes a new approach based on augmented Lagrangian relaxation for short term generation scheduling problem with transmission and environmental constraints. In this method, the system constraints, e.g. load demand, spinning reserve, transmission capacity and environmental constraints, are relaxed by using Lagrangian multipliers, and quadratic penalty terms associated with system lo...