The solution of the game is developed by algebraic methods and an iterative algorithm is developed to accurately estimate of the position and velocity of maneuverable target in 3D
Cartesian coordinate. Clearly, the proposed algorithm is a robust minimax iterative filter because it is obtained by minimizing estimation error under worst possible steering command.
We consider a stationary edge dislocation in the spacetime continuum in
cartesian coordinates (x; y; z), with the dislocation line along the z-axis and the Burgers vector [b.sub.x] = b; [b.sub.y] = [b.sub.z] = 0 (see Fig.
Any function of linear combination of
Cartesian coordinates is an obvious solution of Eq.
Although the
Cartesian coordinate system is not a formal part of these students' curriculum, which is Math Every Day (Gillespie and Kanter 1996), the children were familiar with grids from their work with bar graphs and computer spreadsheets throughout the school year.
A
cartesian coordinate robot is an industrial robot whose three principal axes of control are linear (i.e.
A' is the center of autoguiding image sensor, and it is also the projection point of optic axis of autoguiding telescope (as shown in Figure 4, in the
Cartesian coordinate system, A'XY, A' is taken as the origin of the system).
Suppose that the interface from free space to PML is the isosurface in the orthogonal curve coordinate system (as shown in Figure 1); if the parameters in UPML satisfy the similar condition in
Cartesian coordinate system UPML, the incident electromagnetic waves from free space will pass through the interface without reflecting and attenuate rapidly inside the PML.
In the two-dimensional
Cartesian coordinate, the coordinate of the observer is ([x.sup.s.sub.k], [y.sup.s.sub.k]), the coordinate of a threat is ([x.sup.q.sub.k],[y.sup.q.sub.k]), and the potential at the coordinate of the observer at time t is
Most photogrammetric operations are performed in a right-handed
Cartesian coordinate system.
These transform functions are
Cartesian coordinate transformation, polar coordinate transformation and function transformation.