Search results

Page title matches

• Curl
  ...of mathematics known as [[vector analysis]]. Important applications of the curl are in the [[Maxwell equations]] for electromagnetic fields, in the [[Helm \mathrm{curl}\; \mathbf{F} \equiv \mathrm{rot}\; \mathbf{F} \equiv\boldsymbol{\nabla}\ti
  7 KB (1,067 words) - 07:27, 23 October 2021
• Curl/Definition
  101 bytes (14 words) - 00:34, 2 May 2009
• Curl/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Curl]]. Needs checking by a human.
  801 bytes (103 words) - 15:47, 11 January 2010

Page text matches

• Wheat streak mosaic virus/Definition
  Plant pathogenic virus of the family Potyviridae, vectored by the wheat curl mite.
  119 bytes (16 words) - 11:24, 6 September 2009
• Helmholtz decomposition/Definition
  ...on of a vector field in a transverse (divergence-free) and a longitudinal (curl-free) component.
  143 bytes (17 words) - 05:55, 29 June 2008
• Green's Theorem/Definition
  A vector identity, equivalent to the curl theorem in two dimensions, which relates a line integral around a simple cl
  216 bytes (33 words) - 12:15, 15 November 2008
• Curl
  ...of mathematics known as [[vector analysis]]. Important applications of the curl are in the [[Maxwell equations]] for electromagnetic fields, in the [[Helm \mathrm{curl}\; \mathbf{F} \equiv \mathrm{rot}\; \mathbf{F} \equiv\boldsymbol{\nabla}\ti
  7 KB (1,067 words) - 07:27, 23 October 2021
• James Clerk Maxwell/Addendum
  ...ergence of both sides of the equation and using that the divergence of the curl of any vector field is zero (i.e. <math> \boldsymbol{\nabla} \cdot \boldsym ...tion can be converted by taking the curl on both sides, and using that the curl of a gradient is zero (i.e. '''&nabla;''' &times; '''&nabla;''' &Psi; = 0).
  4 KB (674 words) - 05:17, 23 February 2009
• Helmholtz decomposition/Related Articles
  {{r|Curl}}
  565 bytes (72 words) - 17:08, 11 January 2010
• Helmholtz decomposition
  ...field into two vector fields, one a [[divergence]]-free field and one a [[curl]]-free field. The decomposition is called after the German physiologist an ...t follows that the first term of '''F''' is divergence-free and the second curl-free.
  11 KB (1,756 words) - 14:38, 12 April 2009
• Stokes' theorem/Related Articles
  {{r|Curl}}
  601 bytes (77 words) - 20:38, 11 January 2010
• Cartesian coordinates/Related Articles
  {{r|Curl}}
  879 bytes (114 words) - 03:09, 8 March 2024
• Vector field/Related Articles
  {{r|Curl}}
  849 bytes (109 words) - 21:28, 11 January 2010
• Curl/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Curl]]. Needs checking by a human.
  801 bytes (103 words) - 15:47, 11 January 2010
• Spherical polar coordinates/Related Articles
  {{r|Curl}}
  1,006 bytes (129 words) - 20:33, 11 January 2010
• Green's Theorem
  '''Green's Theorem''' is a vector identity that is equivalent to the [[curl theorem]] in two dimensions. It relates the line integral around a simple c The theorem is equivalent to the [[curl theorem]] in the plane and can be written in a more compact form as
  3 KB (549 words) - 20:34, 19 February 2009
• Stokes' theorem
  where '''&nabla;''' &times; '''F''' is the [[curl]] of a [[vector field]] on <math>\scriptstyle \mathbb{R}^3</math>, the vect
  1 KB (176 words) - 10:16, 19 July 2008
• Lorentz force
  ...E''' appearing in the Lorentz force '''F''' is the sum of a longitudinal (curl-free) component and a transverse (divergence-free) component. The following ...0 and '''&nabla;''' • '''A''' = 0, the components of '''E''' are indeed curl-free and divergence-free, respectively.
  5 KB (833 words) - 21:31, 26 March 2022
• Bruno Taut
  Curl, J.S. A Dictionary of Architecture. (Oxford, UK: Oxford University Press, 1 Curl, J.S. A Dictionary of Architecture.
  7 KB (1,037 words) - 12:48, 10 October 2008
• Allotrope
  ...to the award of the 1996 Nobel Prize in chemistry to Harold Kroto, Robert Curl and Richard Smalley.
  2 KB (333 words) - 21:17, 13 November 2010
• Ampere's law
  where <math>\scriptstyle \boldsymbol{\nabla}\times \mathbf{B}</math> is the [[curl]] of the vector field '''B'''('''r''') and '''J'''('''r''') is the current
  3 KB (510 words) - 10:16, 16 July 2008
• Divergence
  ...eld it follows that a divergence-free vector field can be written as the [[curl]] of another vector field, i.e., provided the ''longitudinal component'' ''
  3 KB (514 words) - 02:14, 14 October 2013
• Moment of a force
  ...pirically the direction of the vector is given by the [[right-hand rule]]: curl your fingers of your right hand about the axis of rotation in the direction
  4 KB (619 words) - 13:24, 20 March 2011