polar coordinates


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Related to polar coordinates: Spherical coordinates

polar coordinates

[′pō·lər kō′ȯrd·ən·əts]
(mathematics)
A point in the plane may be represented by coordinates (r,θ), where θ is the angle between the positive x-axis and the ray from the origin to the point, and r the length of that ray.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

polar coordinates

polar coordinates
Polar coordinates are often used to uniquely locate, and define, the points in a geometric plane.
The coordinates derived from the distance and angular measurements from a fixed point (i.e., pole). Polar coordinates are almost always used in plotting antenna direction patterns.
An Illustrated Dictionary of Aviation Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved
References in periodicals archive ?
To simulate a uniform volcano-like QR we use below the parameterized function, which in polar coordinates defines the variation of the thickness of the layer:
where [mathematical expression not reproducible] represents the angular polar coordinate corresponding to particular pixel (i, j) [member of] M and R(i ,j), RE) represents the distance between the pixel (i, j) [epsilon] and the RE:
Note that the use of polyhedral star-shaped polar coordinates yields an integral representation of the characteristic function where the range of integration is much easier to describe than if one makes use of other types of coordinates.
In Tables 1 and 2, the results obtained by employing GA and regular ACO, respectively, under polar coordinates are shown.
A crucial step here is transformation of the amplitude spectra into the polar coordinate system to obtain functions [A.sup.p.sub.1]; [A.sup.p.sub.2] : [R.sup.+.sub.0] x (0; 2[pi]) [right arrow] [R.sup.+.sub.-] such that [A.sup.p.sub.1]([rho];[phi]) = [A.sup.p.sub.2]([rho]; ([phi] + [theta]).
Because we are using polar coordinates, the surface element dA is as follows:
Here we used polar coordinates by Jacobian [absolute value of [omega]] d[omega].
where, [eta] represents the non-negative integer, m is the integer ([absolute value of m] [less than or equal to] n), [rho] is radius and [theta] is the angle of polar coordinates pixels.
No results related to alcohol intake and elementary stimuli in polar coordinates (angular frequencies) are available.