This Letter focuses on form invariance and Noether symmetries of mechanico-electrical systems. Based on the invariance of Hamiltonian actions for mechanico-electrical systems under the infinitesimal transformation of the coordinates, the electric quantities and the time, the authors present the Noether symmetry transformation, the Noether quasi-symmetry transformation, the generalized Noether q...

Systematic Cadastral mapping in Nepal used to be carried out using local coordinates. Later National Reference Frame (NRF) and a map sheet layout is being improve the situation. Current trend of use GNSS establishing control points demands set transformation parameters. The coordinates NRF which are obtained by transforming results, does not give expected accuracy for large scale mapping. In ad...

Studying transformation in a chemical system by considering its energy as a function of coordinates of the system’s components provides insight and changes our understanding of this process. Currently, a lack of effective visualization techniques for high-dimensional energy functions limits chemists to plot energy with respect to one or two coordinates at a time. In some complex systems, develo...

The Nijenhuis tensor Φ = θ1θ −1 0 has n distinct eigenvalues μ = (μ1, . . . , μn) [3]. One can construct a canonical transformation (q, p) 7→ (μ, ν) ((μ, ν) referred to as the Nijenhuis coordinates) and the FDIHS in the Nijenhuis coordinates is separable. Several QBH systems are presented and some relationship between BH and QBH structure is discussed in [1, 2, 4, 5]. The aims of this paper is ...

This paper proposes a novel image-processing algorithm to recognize the lane-curve of a structured road. The proposed algorithm uses an lane-curve function (LCF) obtained by the transformation of the defined parabolic function on the world coordinates into the image coordinates. Unlike other existing methods, this algorithm needs no transformation of the image pixels into the world coordinates....

The integration of auditory and visual spatial information is an important prerequisite for accurate orientation in the environment. However, while visual spatial information is based on retinal coordinates, the auditory system receives information on sound location in relation to the head. Thus, any deviation of the eyes from a central position results in a divergence between the retinal visua...

In the vision navigation system, the transformation from image coordinates to world coordinates is the essential part for the autonomous robot field based on crop rows detection using single camera. An approach of correcting the errors of the vision system is proposed in this paper, which can correct the errors of the target coordinates on the ground according to the theory of the lens distorti...

This paper describes an application of pointwise structure from known motion to assist in the construction of roadside and trackside maps. A single camera is used to record the view from the front of the vehicle, and positional information from an onboard GPS receiver is used to provide the location and orientation of the vehicle. After calibration from known structures, the transformation from...

We study a system of electrons moving on a noncommutative plane in the presence of an external magnetic field which is perpendicular to this plane. For generality we assume that the coordinates and the momenta are both noncommutative. We make a transformation from the noncommutative coordinates to a set of commuting coordinates and then we write the Hamiltonian for this system. The energy spect...