# cartesian coordinate system

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## cartesian coordinate system

[kär′tē·zhən kō′ȯrd·nət ‚sis·təm]
(mathematics)
A coordinate system in n dimensions where n is any integer made by using n number axes which intersect each other at right angles at an origin, enabling any point within that rectangular space to be identified by the distances from the n lines. Also known as rectangular cartesian coordinate system.
References in periodicals archive ?
Given the displacement boundary conditions of the wave converter top and bottom ([u.sub.1i](t), [u.sub.2i](t)), the position coordinate [z.sub.i](t) and velocity [v.sub.i](t) of the oscillator at the time of t can be derived.
The mutual mapping between wavelength and position coordinates is introduced to solve the nonlinear dispersion problem, as cross-correlation of exit slit with monochromatic images is carried out on a uniformly spaced position grid, while the SRF is a function of wavelength described in the wavelength domain.
For the forward positon analysis, given one random group of inputs ([[theta].sub.1], [[theta].sub.2]), the position coordinate (x, y) of the end of the robot can be calculated, and the corresponding parameters are listed in Table 1; meanwhile, the corresponding configurations relative to the computed solutions are described in Figure 6.
Based on the content above, there are M alarm concentration points in the chemical industrial park expressed by [e.sub.i], i [member of] (1, 2, ..., M), the position coordinates of points are [([x.sub.1], [y.sub.1]), ([x.sub.2], [y.sub.2]), ..., ([x.sub.M], [y.sub.M])], respectively.
(iii) the Kth RBs emit the modulated DPSK signal, which contains information about the position coordinates and the current frequencies of the individual RBs;
In addition, if a mathematical model is formulated based on independent position coordinates of machines, that is, design variables, the reliability and efficiency of the search process will be poor still, and, in order to improve the efficiency and search reliability, a technique of controlling design variables under local polar coordinate systems is proposed; consequently, a correlation between design variables and objective function is effectively demonstrated.
In the mathematical optimization model, the position coordinates of the BSs are the variables, while the average GDOP of each trajectory segment is defined as the objective function.
TABLE 1: Position coordinates and yaw angles of the planned path.
Since range-free assumes that a small part of the sensor nodes, which are called beacon nodes, are aware of their real coordinates, and other unknown nodes can estimate their position coordinates based on the beacon nodes as well as certain localization algorithm.
The ER VII is considered the master robot, with programmed poses, which are transformed in slave robot ERV+ position coordinates. The motion speed on both robots is constant and the programmed values are determined experimentally.
The WatchDog LRIT ship terminal transmits all required information in an LRIT automatic position report, including the identity and position coordinates of the ship with a date and time stamp.

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