The tracking problem in target tracking systems was formulated as a zero-sum game and equilibrium point of the game was derived to obtain the best estimate of position and velocity of target in 3D

Cartesian coordinate. In order to prove the stability of the proposed filter, a parameter was introduced and LMI approach was used to calculate this parameter.

Similarly, the only non-zero components of the stress tensor in

cartesian coordinates are given by [14]

The first three elements of this vector are the

Cartesian coordinates of the center of the moving platform and the last three ones are Euler angles.

This model calculates the LVRPA through a system of algebraic equations, where the scattering event can occur only along the six directions of the

Cartesian coordinates [25]; it reduces the mathematical complexity to an analytical system, thus saving computational time and effort.

Two fashions of feed scanning are investigated, and the

Cartesian coordinate scanning is employed.

By following Davis's first-order approximation, the electromagnetic fields of the Gaussian beam can be described in its own

Cartesian coordinate system [O.sup.'][x.sup.'][y.sup.'][z.sup.'] as [20]

with the first four components denoting a Minkowskian space-time vector in

Cartesian coordinates:

The Fly on the Ceiling was the catalyst for a week of interdisciplinary activities organized around the mathematics of the

Cartesian coordinate system and its applications.

MarketResearchReports.com has announced the addition of "Global

Cartesian Coordinate Robots Market Professional Survey 2019 by Manufacturers, Regions, Countries, Types and Applications, Forecast to 2024" research report to their website www.MarketResearchReports.com

He limits the geometry to the Euclidean space/geometry where the Pythagorean Theorem applies, with well-defined

Cartesian coordinate systems as the reference.

After confirmation of the target within the biopsy window, a pair of images is obtained at +15[degrees] and -15[degrees] positions (stereo pair) to determine the location of the target in a

Cartesian coordinate system (X,Y,Z).

Taking into consideration the fact that B' is likely to locate on any position of full-disk solar image, a

Cartesian coordinate system A'XY is constructed (as shown in Figure 4, A' will be taken as the origin of the coordinate system), and then the distance between A' and B' can be obtained and expressed as the coordinate, (x,y).

The Expression of UPML Equations from Orthogonal Curvilinear Coordinate System to

Cartesian Coordinate System

The positions are set in 2-dimensional

Cartesian coordinate; the state of target is [mathematical expression not reproducible], where the position and velocity are [mathematical expression not reproducible], respectively.