For convenience, we consider the polar coordinates
(r, [alpha]) to describe the position of dM, where r is the radial distance, and a the angle between the mass dM and an arbitrary direction as viewed from the center of the disk.
In his first article on wave mechanics, Schroedinger solved his differential equation independent of time for the hydrogen atom in spherical polar coordinates
on assuming an amplitude function of appropriate properties , and achieved an account of the energies of the discrete states that was intrinsically no great advance on Bohr's grossly flawed derivation and even on Pauli's quantum-mechanical achievement .
The authors provide a precalculus review before covering limits, differentiations, the applications of the derivative, the integral, applications of the integral, techniques of integration, advanced applications of the integral and Taylor polynomials, differential equations, infinite series, parametric equations, polar coordinates
, and conic sections over the bookAEs eleven chapters.
j] and the local Cartesian and polar coordinates
Our measurements were performed in polar coordinates
and the image was conveniently drawn in Cartesian coordinates
i] vector, the polar coordinates
will be as follows:
Log-Polar transform is to transform an image from Cartesian Coordinates (x, y) to Polar coordinates
(y, [theta]) first, then to Log coordinates ([rho], [theta]).
The topics are fundamentals, the unit-circle and right-angle approaches to trigonometric functions, analytic trigonometry, polar coordinates
and parametric equations, vectors in two and three dimensions, conic sections, and exponential and logarithmic functions.
On the 14th of July 2009 the paper entitled: The dynamic bi-Laplacian Equation in polar coordinates
and the magic numbers of atomic nucleus  was published online on the Physics Essays website.
To reveal this relation we replace the cartesian coordinates (x, y) with the polar coordinates
The integral area can be transformed from Cartesian coordinates to polar coordinates
as show in Fig.
If t is parametrized by its spherical polar coordinates
([phi], [theta]), [phi][member of][0,2[pi]), [theta][member of][0, [pi]/2], then dt = sin[theta]d[phi]d[theta].