polar coordinates

Noun

Meaning

(mathematics) The coordinates of a point in a plane, measured as its Cartesian distance from the origin and the angle measured anticlockwise/counterclockwise from the x-axis to a line joining the point to the origin.

(mathematics) The coordinates of a point in three-dimensional space, measured as its Cartesian distance from the origin, the angle measured from the z-axis to a line joining the point to the origin, and the angle measured anticlockwise from the x-axis to this line.

Synonyms

Examples

A curve on the Cartesian plane can be mapped into polar coordinates. Source: Internet

Definition In polar coordinates the logarithmic curve can be written as citation : or : with being the base of natural logarithms, and and being arbitrary positive real constants. Source: Internet

In polar coordinates the Poisson–Boltzmann equation is: : which also cannot be solved analytically. Source: Internet

Consider the following function, defined in polar coordinates: : which is a continuous function from the unit circle to itself. Source: Internet

For instance, aircraft use a slightly modified version of the polar coordinates for navigation. Source: Internet

Going to polar coordinates then yields the integral for a circular object of radius a (see for example Born and Wolf ): : The on-axis intensity at the center of the shadow of a small circular obstacle converges to the unobstructed intensity. Source: Internet

Close letter words and terms