Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...

This paper introduces a 2 0 visual servoing technique for the station keepiirg of an unmanned underwater vehicle (UUV) with respect to planar targets on the sea bed. The underwater vehicle is subject to sea current disturbances which make it drift from its desired position. Feature points from unmarked objects are extracted and tracked with a sparse feature tracker developed in-house [I]. The s...

With the increase in coverage area of magnetotelluric data, three-dimensional modeling spherical coordinates and its differences with respect to traditional Cartesian have gradually attracted attention. To fully understand influence Earth’s curvature map projection deformations on modeling, qualitative quantitative analyses based realistic models need be examined. Combined five representative p...

The set of coordinates used to describe the motion of a dynamic system is not unique. For example, consider an elastic pendulum (a mass on the end of a spring). The position of the mass at any point in time may be expressed in Cartesian coordinates (x(t), y(t)) or in terms of the angle of the pendulum and the stretch of the spring (θ(t), u(t)). Of course, these two coordinate systems are relate...

The Burgers vector b with components (1.1) is teated as a vector of a special space, it is called the Burgers space. The Burgers space is an imaginary space, it is assumed to be filled with the infinite ideal (non-distorted) crystalline grid. The tensor T̂ in (1.1) is a double space tensor : its upper index i is associated with some Cartesian coordinate system in the Burgers space, its lower ind...

This paper examines possible influences of language on thought in the domain of spatial reasoning. Language communities differ in their stock of reference frames (coordinate systems to reference locations and directions). English typically uses egocentrically-defined axes (“leftright”). Other languages like Tseltal lack such a system but use geocentrically-defined axes ("north-south"). We ask w...

A new kind of parallel mechanism machine called the CGT (Cartesian-Guided Tripod) for three-axis machining, CGP (Cartesian-Guided Pentapod) for five-axis machining, and CGH (Cartesian-Guided Hexapod) for six-axis positioning is presented on this paper. The CGT/CGP/CGH has two kinds of functional independent legs: the driving functional leg and the integrated Cartesian guiding/metrology function...

Abstract We demonstrate how to make the coordinate transformation or change of variables from Cartesian coordinates curvilinear by making use a convolution function with Dirac delta functions whose arguments are determined between two systems. By integrating out an original function, we replace new in systematic way. A recursive allows successively. After replacing every into coordinate, find t...

In this paper three-dimensional heat conduction equation in cartesian coordinate has been solved two different methods one of which depends on the separation variables and other integral transform .The results are got plotted by using Matlab. And obtained showed difference between that were used solution . That is evident illustrations According to it was concluded method best because fewer ste...