Search results
Jump to navigation
Jump to search
Page title matches
- In [[physics]], a '''vector field''' is a vector function on a space. That is, there is a vector associated ...athbb{E}^3</math>—the infinite (Newtonian) world that we live in. A vector field may be pictured as a set of arrows, one arrow for each point of space. In5 KB (928 words) - 04:59, 9 December 2009
- #Redirect [[Vector field]]26 bytes (3 words) - 12:42, 31 May 2008
- 182 bytes (20 words) - 04:04, 31 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Vector field]]. Needs checking by a human.849 bytes (109 words) - 21:28, 11 January 2010
Page text matches
- A vector operator that describes the rotation of a vector field.101 bytes (14 words) - 00:34, 2 May 2009
- A theorem relating the flux of a vector field through a surface to the vector field inside the surface.139 bytes (22 words) - 06:38, 11 July 2008
- A first order differential vector operator acting on a vector field resulting in a scalar function.135 bytes (19 words) - 10:19, 18 July 2008
- {{rpl|Vector field}}130 bytes (15 words) - 05:59, 26 September 2013
- #Redirect [[Vector field]]26 bytes (3 words) - 12:42, 31 May 2008
- a vector field '''D''' in a dielectric; '''D''' is proportional to the outer electric fiel136 bytes (19 words) - 12:35, 5 December 2008
- force acting on an electric charge—a vector field.92 bytes (13 words) - 05:32, 3 December 2008
- {{r|Vector field}}1 KB (146 words) - 16:32, 11 January 2010
- where '''∇''' × '''F''' is the [[curl]] of a [[vector field]] on <math>\scriptstyle \mathbb{R}^3</math>, the vector d'''S'''1 KB (176 words) - 10:16, 19 July 2008
- Vector field '''H''' caused by permanent magnets, conduction currents, and displacement133 bytes (15 words) - 02:53, 5 July 2008
- Decomposition of a vector field in a transverse (divergence-free) and a longitudinal (curl-free) component.143 bytes (17 words) - 05:55, 29 June 2008
- In [[vector analysis]], the '''divergence''' of a [[differentiable]] [[vector field]] '''F'''('''r''') is given by an expression involving the operator [[nab The flux is a vector field (at any point a vector gives the direction of flow), and the density is a [3 KB (514 words) - 02:14, 14 October 2013
- {{r|Vector field}}830 bytes (107 words) - 18:10, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Vector field]]. Needs checking by a human.849 bytes (109 words) - 21:28, 11 January 2010
- ...losed surface is equal to the triple integral of the [[divergence]] of the vector field inside the surface. ...</math>. If <math>\mathbf{F}</math> is a [[continuously differentiable]] [[vector field]] defined in a [[neighbourhood]] of <math>V</math>, then4 KB (639 words) - 10:31, 19 June 2009
- ...l model|mathematical models]] deal with both [[scalar field|scalar]] and [[vector field|vector]] fields. The [[Field (physics)|field]] and its [[gradient]] are sen ...thesis is that all parts in the fungal mycelium have the '''identical''' [[Vector field|field]] generation systems, field sensing mechanisms and growth direction a3 KB (490 words) - 09:33, 21 September 2013
- {{r|Vector field}}631 bytes (81 words) - 20:07, 11 January 2010
- In [[physics]], a '''vector field''' is a vector function on a space. That is, there is a vector associated ...athbb{E}^3</math>—the infinite (Newtonian) world that we live in. A vector field may be pictured as a set of arrows, one arrow for each point of space. In5 KB (928 words) - 04:59, 9 December 2009
- {{r|Vector field}}565 bytes (72 words) - 17:08, 11 January 2010
- {{r|Vector field}}707 bytes (90 words) - 16:01, 11 January 2010
- {{r|Vector field}}1 KB (141 words) - 11:57, 28 July 2011
- Because an electric field '''E''' is a [[vector field]], it is defined at every point '''r''' of space. Usually the space consid Because of the [[Helmholtz decomposition]] of a general vector field, we can write6 KB (914 words) - 18:48, 30 October 2021
- {{r|Vector field}}679 bytes (86 words) - 16:01, 11 January 2010
- {{r|Vector field}}1 KB (142 words) - 17:58, 17 April 2010
- ...oth sides of the equation and using that the divergence of the curl of any vector field is zero (i.e. <math> \boldsymbol{\nabla} \cdot \boldsymbol{\nabla} \times \4 KB (674 words) - 05:17, 23 February 2009
- ...'' (also known as '''rotation''') is a differential operator acting on a [[vector field]]. It is defined in the branch of mathematics known as [[vector analysis]]. where '''F''' is a vector field.7 KB (1,067 words) - 07:27, 23 October 2021
- {{r|Vector field}}801 bytes (103 words) - 15:47, 11 January 2010
- ...(also known as vacuum permeability), and ''c'' is the speed of light. The vector field '''B''' is known as the [[magnetic induction]]. The direction of integratio ...ptstyle \boldsymbol{\nabla}\times \mathbf{B}</math> is the [[curl]] of the vector field '''B'''('''r''') and '''J'''('''r''') is the current density (amount of cha3 KB (510 words) - 10:16, 16 July 2008
- As any [[vector field]], the [[electric field]] '''E''' appearing in the Lorentz force '''F'''5 KB (833 words) - 21:31, 26 March 2022
- Hence, F is a vector field of finite dimension over <math>\mathbb{F}_p</math>. Moreover since the non2 KB (406 words) - 20:45, 8 February 2010
- ...-align: top"><math> \mathbb{R}^3</math></font> is the decomposition of the vector field into two vector fields, one a [[divergence]]-free field and one a [[curl]]- Any vector field '''F'''('''r''') that is sufficiently often differentiable and vanishes suf11 KB (1,756 words) - 14:38, 12 April 2009
- {{r|Vector field}}1 KB (189 words) - 17:55, 17 April 2010
- {{r|Vector field}}481 bytes (61 words) - 18:56, 11 January 2010
- ...agnetic field lines are shown in blue. The magnetic induction '''B''' is a vector field tangent to field lines. The direction of '''B''' and ''i'' are connected vi8 KB (1,392 words) - 07:40, 3 December 2009
- {{r|Vector field}}601 bytes (77 words) - 20:38, 11 January 2010
- ...describes a magnetic field (a vector) at every point in space; it is a [[vector field]]. In non-relativistic physics, the space in question is the three-dimensi ...d '''H''' is closely related to the [[magnetic induction]] '''B''' (also a vector field). It is the vector '''B''' that enters the expression for magnetic force on9 KB (1,428 words) - 08:19, 1 April 2011
- ...sm)|"free" space]]), both '''E''' and '''B''' can be derived from a third vector field, the [[vector potential]] '''A'''. Below, the [[Fourier transform]] of the ==Fourier expansion of a vector field==15 KB (2,576 words) - 00:07, 1 December 2010
- ...tric displacement''' and usually denoted by its first letter '''D''', is a vector field in a non-conducting medium, a [[dielectric]]. The displacement '''D''' is p The vector field '''P''' describes the polarization (small separation of the charges on eac7 KB (1,126 words) - 17:44, 17 April 2010
- {{r|Vector field}}965 bytes (124 words) - 17:23, 11 January 2010
- ...0''' somewhere within ρ. The electric field '''F''' is a homogeneous [[vector field]]. With ''V''('''0''') as the zero of potential, the interaction becomes8 KB (1,270 words) - 18:42, 30 October 2021
- ...nt''' is the time derivative of the [[electric displacement]] '''D''' (a [[vector field]] closely related to the [[electric field]] '''E'''). The concept was intro6 KB (972 words) - 16:59, 27 October 2021
- ==Electrostatic vector field== ...t style="vertical-align: 22%"><math>\vec{\mathbf{E}}</math></font>—a vector field. The force originates from one or more charges acting on the test partic13 KB (2,015 words) - 10:16, 21 October 2021
- ...gnetic induction is commonly denoted by '''B'''('''r''',''t'') and is a [[vector field]], that is, it depends on position '''r''' and time ''t''. In non-relativ ...x is introduced through the ''[[magnetization]]'' of the material, another vector field {{nowrap|'''M'''('''r''', ''t'')}}.9 KB (1,330 words) - 16:37, 31 March 2011
- ...This vector space is also canonically isomorphic to the left-invariant [[vector field]]s on ''G''. The commutator of two left-invariant vector fields is again l12 KB (1,918 words) - 20:29, 22 December 2011
- ...dS</math> and <math>\mathbf{n}</math> is the outward-pointing unit normal vector field.3 KB (549 words) - 20:34, 19 February 2009
- Second quantization starts with an expansion of a scalar of vector field (or wave functions) in a basis consisting of a complete set of functions. T ...Both are time-dependent [[vector field]]s that in vacuum depend on a third vector field '''A'''('''r''',''t'') (the vector potential) through23 KB (3,635 words) - 05:33, 1 April 2024
- ...''G''-invariant function on ''P'' and the application of a ''G''-invariant vector field on a ''G''-invariant function gives again a ''G''-invariant function. Ther ...ollows. An '''R'''-linear map ''ψ'': Γ(''V'')→Γ(''V'') for which exists a vector field ''X'' such that16 KB (2,719 words) - 04:11, 7 October 2013
- ...ation, known from [[vector analysis]] and valid for any (differentiable) [[vector field]],25 KB (3,994 words) - 17:54, 17 April 2010
- The [[vector field]]s '''E''' and '''B''' depend on time ''t'' and position '''r''', for brevi where '''∇•''' stands for the [[divergence]] of a [[vector field]] and '''∇× ''' for its [[curl]].18 KB (2,680 words) - 18:46, 16 December 2010
- ...met vier veranderlijken'' (Differential invariants of two [[covariant]] [[vector field]]s with four variables) was awarded the predicate ''Cum Laude'' (a predicat2 KB (351 words) - 11:17, 20 April 2021
- ...t yet know vector or quaternion notation the different components of his [[vector field]]s are counted as individual parameters and the equations are written out i35 KB (5,595 words) - 12:26, 6 September 2013
- ...t yet know vector or quaternion notation the different components of his [[vector field]]s are counted as individual parameters and the equations are written out i35 KB (5,571 words) - 12:27, 6 September 2013
- ...a solution (i.e., the "potential" ''V'' exists) if and only if the vector field ("force") ''F''<sub>''A''α</sub>('''R''')13 KB (1,922 words) - 07:19, 7 May 2010