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SEO Keyword summary for en.wikipedia.org/wiki/lagrangian_(field_theory)
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle lagrangian field |
long Tail Keywords (2 words) field theory mathbf x lagrangian density varphi partial partial mu |
long Tail Keywords (3 words) mathbf x t phi mathbf x scalar field theory lagrangian field theory partial varphi partial can be written lagrangian main article |
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lagrangian field theory wikipedia
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wikipedia free encyclopedia displaystyle varphi xyzt frac delta mathcal sdelta sleftvarphi irightint lleftvarphi isleftfrac partial ispartial salpha rightsalpha rightmathrm cdot forall alpha mathrm lvarphi boldsymbol nabla tmathbf tldots nboldsymbol npartial mathbf dots mathbb sint lmathrm svarphi int tmathrm lint textstyle sqrt msqrt gdx wedge cdots dxmmathcal dxm mmathcal leftpartial leftfrac lpartial rightfrac right lmathbf over gnabla phi rho tphi ltv tnabla vrho trho tdelta tcdot tfrac grho vphi lfrac sum infty ngnphi tmv nsum ngijphi ipartial gij leftlmu lmu uin qphi ttqdot tepsilon dot times jmu quad textandquad amu fmu anu epsilon frho sigma eta jnu lambda flambda lxjmu xamu xfrac xfmu smathbf mleftfrac ast mmathrm leftmathbf dmathbf lpsi avert fvert vert dpsi leftsigma psi dstar rightpsi foperatorname langle rangle star lbar ihbar cpartial bar dagger gamma qed dsigma ieasigma asigma qcd nbar nleftihbar mnc galpha ltextgrmathcal ltextehmathcal ltextmatterfrac gleftr rightmathcal ltextmatter ltexteh gmu rmu rgmu tmu equiv gfrac matter gdelta beginalignedmathcal xfrho xgmu xgnu grxmathcal ltextmaxwellmathcal ltexteinsteinhilbertendaligned gxfrac xmathcal stextmaxwellfrac leftftext xfnu xright tgmu rfrac leftfmu dmu left mrfrac omega xmu yfrac zfrac txyztright wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/lagrangian_(field_theory)
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SERP Title
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Domain Level SEO
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field found in path !
lagrangian found in path !
theory found in path !
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en.m.wikipedia.org |
en.wikipedia.org wikimedia foundation inc
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w httpsenwikipediaorgwindexphptitlelagrangianfieldtheoryoldid1229946165
page information
printable version
einsteinyangmills action principle
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wiki classical field theory
lagrangian mechanics
degrees of freedom
fields
quantum field theory
partial differential equations
sobolev spaces
uniform convergence
potential theory
riemannian manifold
fiber bundle
cherngaussbonnet theorem
riemannroch theorem
atiyahsinger index theorem
chernsimons theory
spacetime
equations of motion
action
functional
independent variables
density
volume form
geodesics
classical mechanics
tangent manifolds
symplectic manifolds
contact geometry
spin manifolds
nonrigid
tensor algebras
quantum groups
affine lie algebras
lie group
virasoro algebra
generalized coordinates
coordinate chart
sections
jet bundle
vector field
tensor fields
spinor fields
fermions
bosons
real
scalar fields
isomorphic
time integral
volume integral
wedge product
metric tensor
minkowski spacetime
hodge star
eulerlagrange equation
geodesic flow
functional derivative
boundary conditions
eulerlagrange equations
gravitational potential
gravitational constant
nordstrms theory of gravitation
gausss law for gravity
scalar field theory
sombrero hat potential
higgs field
sigma model
differential
riemannian metric
local coordinates
sun
symmetric space
killing form
maurercartan form
topological soliton
skyrmion
nucleon
covariant formulation of classical electromagnetism
electromagnetic field
gauss law
ampres law
tensor notation
fourvectors
electromagnetic tensor
minkowski metric
levicivita tensor
equivalence principle
differential forms
natural units
exact form
affine connection
u1
circle bundle
yangmills equations
standard model
chernsimons functional
grand unified theory
ginzburglandau theory
yangmills action
section
vector bundle
superconductor
yangmills field
hodge star operator
yangmillshiggs equations
seibergwitten theory
dirac equation
dirac field
dirac spinors
dirac adjoint
feynman notation
weyl spinors
clifford algebra
vielbein
spin structure
gauge covariant derivative
electromagnetic fourpotential
quantum chromodynamics
quark
gluon field strength tensor
einsteinhilbert action
cosmological constant
curvature scalar
ricci tensor
riemann tensor
kronecker delta
tidal force
christoffel symbols
metric connection
torsion
geodesics
straight line
frame fields
einstein field equations
energy momentum tensor
jacobian determinant
maxwells equations in curved spacetime
covariant derivative
reissnernordstrm charged black hole
kaluzaklein theory
factorizations
theory of everything
bf model
solitons
instantons
topological field theories
calculus of variations
covariant classical field theory
functional integral
hamiltonian mechanics
hamiltonian field theory
kinetic term
lagrangian and eulerian coordinates
lagrangian point
lagrangian system
noethers theorem
onsagermachlup function
principle of least action
fourgradient
isbn
jost jrgen
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In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
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PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 98% | A title should reflect the contents of a site. This site has a 75 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 38 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 30% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 253 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 6 folders above or in the first level of navigation. | |
Headings | 71% | Headers should reflect the contents of a site. This site has a 31 % match | |
Links | 14% | Link anchors should to some degree reflect the contents of a site. This site has a 7 % match | |
Image alt tags | 22% | Image alt tags should to some degree reflect the contents of a site. This site has a 8 % match | |
Bold and italic | 100% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 35 % match | |
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Server response time | 100% | A fast server speeds up a website. This server responds 73.7% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 259 inline style declarations ( <a style="color:green">) with a size of 9176 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
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121 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/df49b032ab3ac253c83c66df6be20dd9903ed1ba height: height attribute not set width: width attribute not set description: {\displaystyle u\in \mathrm {su} (n)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9129cf9144fb6faed7f67c0445c3d1b697f7ee60 height: height attribute not set width: width attribute not set description: {\displaystyle -q\phi (\mathbf {x} (t),t)+q{\dot {\mathbf {x} }}(t)\cdot \mathbf {a} (\mathbf {x} (t),t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ca5d874dbb32b8b33e83ca521f592808387a486e height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {j} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cabbb24b2aaff6aaf3885ba3b7576ffa15ce5ab7 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}(\mathbf {x} ,t)=-\rho (\mathbf {x} ,t)\phi (\mathbf {x} ,t)+\mathbf {j} (\mathbf {x} ,t)\cdot \mathbf {a} (\mathbf {x} ,t)+{\epsilon _{0} \over 2}{e}^{2}(\mathbf {x} ,t)-{1 \over {2\mu _{0}}}{b}^{2}(\mathbf {x} ,t).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eda369ae9390f8e46b9dd6a3d557330e0a486d34 height: height attribute not set width: width attribute not set description: {\displaystyle 0=-\rho (\mathbf {x} ,t)+\epsilon _{0}\nabla \cdot \mathbf {e} (\mathbf {x} ,t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0795cc96c75d81520a120482662b90f024c9a1a1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8d4defd93fc0d90198d14f583f9301035c357b5b height: height attribute not set width: width attribute not set description: {\displaystyle 0=\mathbf {j} (\mathbf {x} ,t)+\epsilon _{0}{\dot {\mathbf {e} }}(\mathbf {x} ,t)-{1 \over \mu _{0}}\nabla \times \mathbf {b} (\mathbf {x} ,t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/934e3aab2ce15301fce878889ec1a50803659958 height: height attribute not set width: width attribute not set description: {\displaystyle -\rho \phi (\mathbf {x} ,t)+\mathbf {j} \cdot \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/53186b025196795d7a135ce3a18cdc0a3f06215e height: height attribute not set width: width attribute not set description: {\displaystyle j^{\mu }=(\rho ,\mathbf {j} )\quad {\text{and}}\quad a_{\mu }=(-\phi ,\mathbf {a} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cc365e70848044eb6e1ad1f5916ef42d34d82564 height: height attribute not set width: width attribute not set description: {\displaystyle -\rho \phi +\mathbf {j} \cdot \mathbf {a} =j^{\mu }a_{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f24e4d8457e87f45e16137c04eae9d3343843caa height: height attribute not set width: width attribute not set description: {\displaystyle f_{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77fbf0c39a13f9706357f83b041774749598ded1 height: height attribute not set width: width attribute not set description: {\displaystyle f_{\mu \nu }=\partial _{\mu }a_{\nu }-\partial _{\nu }a_{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/676af41861347eba262bbe6d225e613f12fda0bd height: height attribute not set width: width attribute not set description: {\displaystyle {\epsilon _{0} \over 2}{e}^{2}-{1 \over {2\mu _{0}}}{b}^{2}=-{\frac {1}{4\mu _{0}}}f_{\mu \nu }f^{\mu \nu }=-{\frac {1}{4\mu _{0}}}f_{\mu \nu }f_{\rho \sigma }\eta ^{\mu \rho }\eta ^{\nu \sigma }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4c9ba73027789581bfe6d541342483d9178dccd5 height: height attribute not set width: width attribute not set description: {\displaystyle \partial _{\mu }f^{\mu \nu }=-\mu _{0}j^{\nu }\quad {\text{and}}\quad \epsilon ^{\mu \nu \lambda \sigma }\partial _{\nu }f_{\lambda \sigma }=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e46775afdf188e69d4ecc5808cef34cb2fe338d height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}(x)=j^{\mu }(x)a_{\mu }(x)-{\frac {1}{4\mu _{0}}}f_{\mu \nu }(x)f^{\mu \nu }(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2cc2abebd45ec020509a0ec548b67c9a2cb7cecd height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {m}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8de2c4985590ad977943d0feb4ddf40ea55dd83c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {s}}[\mathbf {a} ]=-\int _{\mathcal {m}}\left({\frac {1}{2}}\,\mathbf {f} \wedge \ast \mathbf {f} -\mathbf {a} \wedge \ast \mathbf {j} \right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03f1397e65272d28ec138de159dde8689017d9ad height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {d} {\ast }\mathbf {f} ={\ast }\mathbf {j} .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/64c30c8acd2ddd60b7aedb04942de33e452917d6 height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {d} \mathbf {f} =0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e65086678c6a05d78d3cdc9989e5e66815a807de height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {su} (3)\times \mathrm {su} (2)\times \mathrm {u} (1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/09f106f7abb66f2f598299bd4ca2b6ab4cb66e21 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {s}}[\mathbf {a} ]=\int _{\mathcal {m}}\mathrm {tr} \left(\mathbf {a} \wedge d\mathbf {a} +{\frac {2}{3}}\mathbf {a} \wedge \mathbf {a} \wedge \mathbf {a} \right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/199865b11b20b3d7a6ca74ccaccb073b16c128fc height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}(\psi ,a)=\vert f\vert ^{2}+\vert d\psi \vert ^{2}+{\frac {1}{4}}\left(\sigma -\vert \psi \vert ^{2}\right)^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/45e5789e5d9c8f7c79744f43ecaaf8ba42a8553a height: height attribute not set width: width attribute not set description: {\displaystyle \psi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a53b4e76242764d1bca004168353c380fef25258 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {c} ^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3 height: height attribute not set width: width attribute not set description: {\displaystyle a} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/545fd099af8541605f7ee55f08225526be88ce57 height: height attribute not set width: width attribute not set description: {\displaystyle f} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5e27c88631ac3da42fc50c964ac4db512055af4a height: height attribute not set width: width attribute not set description: {\displaystyle d{\star }d\psi ={\frac {1}{2}}\left(\sigma -\vert \psi \vert ^{2}\right)\psi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/53932c6d47403e12134913ff2829a433b4e07ff7 height: height attribute not set width: width attribute not set description: {\displaystyle d{\star }f=-\operatorname {re} \langle d\psi ,\psi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dcda0fc423fda8f0a63f8a14aa707e813640b143 height: height attribute not set width: width attribute not set description: {\displaystyle {\star }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0d5df907dac8f4702dccfe26f8c77a344b21df80 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\bar {\psi }}(i\hbar c{\partial }\!\!\!/\ -mc^{2})\psi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dafa5ba70b83e82cde041f28d40f2d367580457f height: height attribute not set width: width attribute not set description: {\displaystyle {\bar {\psi }}=\psi ^{\dagger }\gamma ^{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/207bde92e1377795260cc9fface9b4f7c2b256b1 height: height attribute not set width: width attribute not set description: {\displaystyle {\partial }\!\!\!/} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c8c31c7b5ba0b79aab9fd325a0a537897fd7cda7 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma ^{\sigma }\partial _{\sigma }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2c2fd3dc37b6e6c91872f1d4d33878d2ed49c95c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{\mathrm {qed} }={\bar {\psi }}(i\hbar c{d}\!\!\!\!/\ -mc^{2})\psi -{1 \over 4\mu _{0}}f_{\mu \nu }f^{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/270a5daa364616f695db1f470f3d341755df881a height: height attribute not set width: width attribute not set description: {\displaystyle f^{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9b8fff1796fce995763b3402ad153a2817b875c8 height: height attribute not set width: width attribute not set description: {\displaystyle {d}\!\!\!\!/} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f0b91e5334f658c3094a03d46342091d81c55391 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma ^{\sigma }d_{\sigma }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e06c4b59ba845cce5d9675b45b780778a01276fd height: height attribute not set width: width attribute not set description: {\displaystyle d_{\sigma }=\partial _{\sigma }-iea_{\sigma }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/92f896bfcef299c2725f3206c7c92a03eda02fd0 height: height attribute not set width: width attribute not set description: {\displaystyle a_{\sigma }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dc12f17d98baa5d8725589a7b3c48c45ec277593 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{\mathrm {qcd} }=\sum _{n}{\bar {\psi }}_{n}\left(i\hbar c{d}\!\!\!\!/\ -m_{n}c^{2}\right)\psi _{n}-{1 \over 4}g^{\alpha }{}_{\mu \nu }g_{\alpha }{}^{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5cb4761afa09ec5f69389ef46f7d88e333e8a869 height: height attribute not set width: width attribute not set description: {\displaystyle g^{\alpha }{}_{\mu \nu }\!} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f0270fd4f9de4a28606384ce641154210b2fe5ac height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{\text{gr}}={\mathcal {l}}_{\text{eh}}+{\mathcal {l}}_{\text{matter}}={\frac {c^{4}}{16\pi g}}\left(r-2\lambda \right)+{\mathcal {l}}_{\text{matter}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ac0a4a98a414e3480335f9ba652d12571ec6733 height: height attribute not set width: width attribute not set description: {\displaystyle \lambda } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33 height: height attribute not set width: width attribute not set description: {\displaystyle r} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/43309ad7ce95ecd1a63241037c19c9252e5f7ec9 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{\text{eh}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5bf4140993a891f5782167dc8a0c236dc7667b8 height: height attribute not set width: width attribute not set description: {\displaystyle g_{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/562808b81776d402d69468a2d15e0bdf405cb989 height: height attribute not set width: width attribute not set description: {\displaystyle r_{\mu \nu }-{\frac {1}{2}}rg_{\mu \nu }+g_{\mu \nu }\lambda ={\frac {8\pi g}{c^{4}}}t_{\mu \nu }\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/463ab8cef859ece28e33b8460ebd4a6699834dd0 height: height attribute not set width: width attribute not set description: {\displaystyle t_{\mu \nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a180be6fe9ea99334d68faa0377516596256be53 height: height attribute not set width: width attribute not set description: {\displaystyle t_{\mu \nu }\equiv {\frac {-2}{\sqrt {-g}}}{\frac {\delta ({\mathcal {l}}_{\mathrm {matter} }{\sqrt {-g}})}{\delta g^{\mu \nu }}}=-2{\frac {\delta {\mathcal {l}}_{\mathrm {matter} }}{\delta g^{\mu \nu }}}+g_{\mu \nu }{\mathcal {l}}_{\mathrm {matter} }\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bff8ed14421644c2698087e3cb84232ae7b530bf height: height attribute not set width: width attribute not set description: {\textstyle {\sqrt {-g}}\,d^{4}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ddd32b747b3d4f047dce4a8952b5954b194e7979 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{\text{matter}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35c12bb1e748801aef6a28969b2314bcaeebf3ba height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}{\mathcal {l}}(x)&=j^{\mu }(x)a_{\mu }(x)-{1 \over 4\mu _{0}}f_{\mu \nu }(x)f_{\rho \sigma }(x)g^{\mu \rho }(x)g^{\nu \sigma }(x)+{\frac {c^{4}}{16\pi g}}r(x)\\&={\mathcal {l}}_{\text{maxwell}}+{\mathcal {l}}_{\text{einstein–hilbert}}.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4197d8f2dfb9b14aadc2a06c5b02b925aee40d4a height: height attribute not set width: width attribute not set description: {\displaystyle g_{\mu \nu }(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/52cb549149fa9d2c79382075e2f697f0255d0442 height: height attribute not set width: width attribute not set description: {\displaystyle t^{\mu \nu }(x)={\frac {2}{\sqrt {-g(x)}}}{\frac {\delta }{\delta g_{\mu \nu }(x)}}{\mathcal {s}}_{\text{maxwell}}={\frac {1}{\mu _{0}}}\left(f_{{\text{ }}\lambda }^{\mu }(x)f^{\nu \lambda }(x)-{\frac {1}{4}}g^{\mu \nu }(x)f_{\rho \sigma }(x)f^{\rho \sigma }(x)\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d9d82f357ba37f4677779f5dd3c9365f91888d8 height: height attribute not set width: width attribute not set description: {\displaystyle t=g_{\mu \nu }t^{\mu \nu }=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/12271dee409cad2c41fffd26e0e09db5ea13ea1c height: height attribute not set width: width attribute not set description: {\displaystyle r=-{\frac {8\pi g}{c^{4}}}t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77397faf2a5ea6fea2bbc6c73f4b8492e17778ea height: height attribute not set width: width attribute not set description: {\displaystyle r^{\mu \nu }={\frac {8\pi g}{c^{4}}}{\frac {1}{\mu _{0}}}\left({f^{\mu }}_{\lambda }(x)f^{\nu \lambda }(x)-{\frac {1}{4}}g^{\mu \nu }(x)f_{\rho \sigma }(x)f^{\rho \sigma }(x)\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/64425687d7555c95114c5f9f689428520f429036 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mu }f^{\mu \nu }=-\mu _{0}j^{\nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/267983ed233945e70f42935df28e623cfce15c12 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3393ce67a5e2ea72741621aa0a2bd22d412c95bb height: height attribute not set width: width attribute not set description: {\displaystyle j^{\mu }=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dec946cd90ab50667d5510ecf5e185b74be74a09 height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {d} s^{2}=\left(1-{\frac {2m}{r}}+{\frac {q^{2}}{r^{2}}}\right)\mathrm {d} t^{2}-\left(1-{\frac {2m}{r}}+{\frac {q^{2}}{r^{2}}}\right)^{-1}\mathrm {d} r^{2}-r^{2}\mathrm {d} \omega ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/31fbbfc1741ac52b2229a33e566b646e40e632ae height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}(\varphi ,\partial _{\mu }\varphi ,x_{\mu })} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/93c5d8266eb94bf15ad062247855954a02878979 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}\left(\varphi ,{\frac {\partial \varphi }{\partial x}},{\frac {\partial \varphi }{\partial y}},{\frac {\partial \varphi }{\partial z}},{\frac {\partial \varphi }{\partial t}},x,y,z,t\right)} |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
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http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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