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- #Redirect [[Spherical polar coordinates]]41 bytes (4 words) - 12:29, 14 May 2008
- {{Image|Spherical polar.png|right|250px|Spherical polar coordinates}} In [[mathematics]] and [[physics]], '''spherical polar coordinates''' (also known as '''spherical coordinates''') form a coordinate system for27 KB (4,267 words) - 10:14, 8 April 2023
- 116 bytes (14 words) - 03:44, 13 July 2009
- 12 bytes (1 word) - 09:52, 16 January 2008
- Auto-populated based on [[Special:WhatLinksHere/Spherical polar coordinates]]. Needs checking by a human.1,006 bytes (129 words) - 20:33, 11 January 2010
Page text matches
- #REDIRECT [[Spherical polar coordinates]]41 bytes (4 words) - 09:05, 15 January 2008
- #REDIRECT [[Spherical polar coordinates]]41 bytes (4 words) - 11:53, 20 February 2008
- #Redirect [[Spherical polar coordinates]]41 bytes (4 words) - 12:29, 14 May 2008
- #REDIRECT [[Spherical polar coordinates]]41 bytes (4 words) - 09:44, 29 November 2009
- Solutions of the Laplace equation in spherical polar coordinates.102 bytes (12 words) - 05:20, 4 September 2009
- {{r|Spherical polar coordinates}}879 bytes (114 words) - 03:09, 8 March 2024
- Auto-populated based on [[Special:WhatLinksHere/Spherical polar coordinates]]. Needs checking by a human.1,006 bytes (129 words) - 20:33, 11 January 2010
- {{r|Spherical polar coordinates}}532 bytes (68 words) - 19:37, 11 January 2010
- {{r|Spherical polar coordinates}}629 bytes (80 words) - 17:36, 11 January 2010
- ::''For an extension to three dimensions, see [[spherical polar coordinates]].''3 KB (451 words) - 23:53, 20 February 2010
- {{r|Spherical polar coordinates}}965 bytes (124 words) - 17:23, 11 January 2010
- {{r|Spherical polar coordinates}}801 bytes (103 words) - 15:47, 11 January 2010
- *[[Spherical polar coordinates]]631 bytes (84 words) - 06:48, 31 January 2009
- {{r|Spherical polar coordinates}}550 bytes (71 words) - 15:57, 11 January 2010
- {{r|Spherical polar coordinates}}626 bytes (80 words) - 18:22, 11 January 2010
- {{r|Spherical polar coordinates}}660 bytes (83 words) - 18:09, 11 January 2010
- {{r|Spherical polar coordinates}}774 bytes (101 words) - 18:00, 11 January 2010
- {{r|Spherical polar coordinates}}823 bytes (102 words) - 10:51, 11 January 2010
- {{r|Spherical polar coordinates}}707 bytes (90 words) - 16:01, 11 January 2010
- Here '''r''' has the spherical polar coordinates (''r'', θ, φ) and '''r''''3 KB (409 words) - 00:52, 4 June 2009
- {{r|Spherical polar coordinates}}955 bytes (150 words) - 03:40, 13 July 2009
- {{r|Spherical polar coordinates}}1 KB (173 words) - 05:43, 6 March 2024
- Take the origin of a [[spherical polar coordinates|spherical polar coordinate]] system in the center of symmetry of the charge ...t be larger than the largest radius ''r''<sub>1</sub> of the shell); the [[Spherical polar coordinates#Infinitesimal surface and volume element|surface element]] is6 KB (988 words) - 17:21, 2 November 2021
- ...e green arc is the radius of the great circle times this angle. Write in [[spherical polar coordinates]] the [[dot product]]2 KB (419 words) - 07:31, 20 April 2024
- ...e powers of 1/''R'' are multiplied by angular functions depending on the [[spherical polar coordinates|spherical polar]] angles of '''R''' and also by coefficients with physical ...e second is in terms of [[spherical harmonics]], functions which depend on spherical polar coordinates. The Cartesian approach has the advantage that no prerequisite knowledge of12 KB (1,953 words) - 04:38, 5 October 2009
- {{Image|Spherical polar.png|right|250px|Spherical polar coordinates}} In [[mathematics]] and [[physics]], '''spherical polar coordinates''' (also known as '''spherical coordinates''') form a coordinate system for27 KB (4,267 words) - 10:14, 8 April 2023
- The quantities {''r'', θ, φ} are known as [[spherical polar coordinates]] and its Jacobian is ''r''<sup>2</sup>sinθ. As an example we consider the spherical polar coordinates mentioned above. Here '''x''' = '''f'''('''t''') ≡ '''f'''(''r'', &th8 KB (1,229 words) - 08:32, 14 January 2009
- ...id harmonics''' are defined as solutions of the [[Laplace equation]] in [[spherical polar coordinates]]. There are two kinds of solid harmonic functions: the ''regular solid har Expression in spherical polar coordinates gives:16 KB (2,612 words) - 09:02, 9 February 2010
- Here the coordinates are written as ''x''<sup>''j''</sup>. For example, for [[spherical polar coordinates]], ''x''<sup>1</sup> ≡ ''r'', ''x''<sup>2</sup> ≡ θ, ''x' ...e particle follows easily from the metric tensor derived in the article [[spherical polar coordinates]]:13 KB (1,900 words) - 10:49, 30 November 2009
- ...nics. These functions are given in Cartesian form but, when expressed in [[spherical polar coordinates]], are functions of the colatitude angle θ and longitudinal (azimuth5 KB (822 words) - 17:36, 14 November 2007
- ...on has the practical advantage that the ''z′''-axis has the usual [[spherical polar coordinates]] α ≡ φ (longitude angle) and β ≡ θ (colat ...by a small modification of the previous proof. We start by retrieving the spherical polar coordinates <math>\omega_2\;</math> and16 KB (2,502 words) - 12:28, 24 March 2010
- ...on of cosθ are part of the solution of the [[Laplace equation]] in [[spherical polar coordinates]]. ...s the θ-dependent part of the [[Laplace operator]] ∇² in spherical polar coordinates.7 KB (1,091 words) - 06:21, 10 September 2009
- For instance, in the case of [[spherical polar coordinates]] ''r'', θ, and φ7 KB (1,067 words) - 07:27, 23 October 2021
- ...near rigid rotor is usually described by means of [[spherical coordinates|spherical polar coordinates]], which form a coordinate system of 3-dimensional space. In the physics co ...a^2</math> is the [[Laplacian]]. The Laplacian is given above in terms of spherical polar coordinates. The energy operator written in terms of these coordinates is:25 KB (3,876 words) - 03:13, 1 October 2013
- ...[[polar plots]]. In fact, the angular parts (functions depending on the [[spherical polar coordinates|spherical polar angles]] θ and φ) are commonly plotted. The angul10 KB (1,514 words) - 19:38, 20 November 2009
- ...spherical symmetry, indeed, in the same kind of physical problems where spherical polar coordinates are preferred over other coordinate systems such as [[Cartesian coordinates ...rical harmonic functions appear as the solution of the Laplace equation in spherical polar coordinates, their name followed immediately. In German the functions are called "Kugel34 KB (5,282 words) - 14:21, 1 January 2011
- ...if we recall that in [[Spherical polar coordinates#Differential operators|spherical polar coordinates]]10 KB (1,681 words) - 12:22, 11 June 2009
- ...ssed in Cartesian coordinates. If one expresses regular solid harmonics in spherical polar coordinates, the cosine-type functions contain the factor cos |''m''| φ and the sin15 KB (2,490 words) - 12:23, 19 April 2009
- In [[spherical polar coordinates]] ...bi determinant) of this transformation from [[Cartesian coordinates]] to [[spherical polar coordinates]] is14 KB (2,220 words) - 12:28, 26 October 2021
- ...nction ''V''(''x'',''y'',''z'') depends on ''r'' only, when expressed in [[spherical polar coordinates]] (''r'', θ, φ). ...of the torque more explicitly by expressing the gradient '''∇''' in spherical polar coordinates and writing the cross product as a determinant, using that the derivatives23 KB (3,890 words) - 10:45, 11 June 2009
- Indeed, in terms of [[spherical polar coordinates]] the operator is,16 KB (2,632 words) - 04:33, 23 September 2021
- the operator ∇² expressed in [[spherical polar coordinates]], can be written as19 KB (2,981 words) - 18:31, 3 November 2021
- where ''r'', θ, and φ are [[spherical polar coordinates]] of a point with respect to a system of axes centered on the central ion.15 KB (2,390 words) - 10:11, 5 February 2010
- where θ and φ are the [[spherical polar coordinates|spherical polar angles]] of '''r''' with respect to a coordinate system in ...le-dipole interaction this is most easily proved by integrating over the [[spherical polar coordinates|spherical polar angles]] of the dipole vector, while using the volume eleme56 KB (8,720 words) - 07:31, 20 April 2024
- * [[Spherical polar coordinates]]25 KB (3,396 words) - 13:29, 2 April 2024