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 
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
; 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 
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
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
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.