it.wikipedia.org website review
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SEO Keyword summary for it.wikipedia.org/wiki/campo_elettromagnetico
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 mathbf
Focus keyword
Short and long tail
Short Tail Keywords mathbf displaystyle frac |
long Tail Keywords (2 words) il campo cdot mathbf del campo mathbf b campo elettromagnetico |
long Tail Keywords (3 words) argomento in dettaglio mathbf hat v lo stesso argomento equazioni di maxwell -frac 1c2frac partial x -mathbf r -mathbf r stau |
it.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a it.wikipedia.org/wiki/campo_elettromagnetico page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
Title length
campo elettromagnetico wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
displaystyle mathbf nabla times frac partial tqquad cdot rho qquad qmathbf jmu amu phi leftfrac cmathbf rightleftfrac caxayazright tleftmathbf rightfrac varepsilon leftnabla rightmathbf leftmathbf trightmu lambda rightarrow tnabla leftphi trightfrac tright tfrac int tmathbf box jnu leftrho rightleftrho cjxjyjzright mathcal delta sint ldtint gamma ldtau lfree lfreemc sqrt beta ualpha ddtgamma mmathbf lint lintfrac egamma cualpha aalpha ephi ecmathbf lmathcal lfreemathcal dssqrt xixi dscdtau cdtgamma ableftmcdse over caidxiright sdelta leftmcdse caidxirightint ableftmcfrac dxiddelta xidse caiddelta xie cdelta aidxiright leftmcduidelta xidaie aidxirightleftmcuie cairightdelta uidxi aifrac aipartial xkdelta xkqquad daifrac xkdxk xifrac xkdxke cfrac xkdxirightleftmcdui dse cleftfrac akpartial xkrightukrightdelta xids duiduidsds dxiduids fikequiv mcdui cfikuk palpha mualpha dpalpha dtau eubeta falpha tau dualpha emcfalpha ubeta dmathbf rightqquad dteleftmathbf ctimes leftsqrt right dedtemathbf fmu beginpmatrix exceycezcexc bzbyeycbz bxezcbybx endpmatrix gmu bxbybzbx ezceycbyezc excbzeycexc det leftfrightleftfrac cright cjnu alpha fbeta fgamma trmathbf trtfrac quad trightttrd rightttrd leftleftfrac trpartial trightmathbf trightmathrm trighttimes mathrm xvarphi xfrac evalpha vcdot xrtau valpha ralpha stau xrgamma scdot varphi righttau emathbf cvarphi big dot qcmathbf stcqquad stmathbf stqquad hat vec pmathrm mathit omega ttimes tvec pfrac cgamma leftleftdot leftvec rightright simeq theta left cos stackrel parallel bot eparallel bparallel ebot bbot beginalignedmathbf rightleftgamma endaligned uxfrac uxv uxc uyfrac uygamma uzfrac uzgamma beginaligneddisplaystyle exexeygamma lefteyvbzrightezgamma leftezvbyrightendalignedquad bxbxbygamma leftbyfrac ezrightbzgamma leftbzfrac eyrightendaligned lefteybeta bzrightezgamma leftezbeta byrightendalignedquad leftbybeta leftbzbeta overset underset def sigma frho psi vaparallel aparallel vvarphi abot scriptstyle dfrac leftvarphi rightendaligned jparallel vrho vjparallel jbot leftgamma approx epsi dagger boldsymbol collabora wikimedia commons modifica wikidata foundation powered mediawiki
Mobile SEO it.wikipedia.org/wiki/campo_elettromagnetico
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for it.wikipedia.org/wiki/campo_elettromagnetico
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
campo found in path !
elettromagnetico found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistiche
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link permanente
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informazioni pagina
versione stampabile
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wiki onda elettromagnetica
spazio
tempo
fisica
campo
interazione elettromagnetica
campo elettrico
campo magnetico
carica elettrica
corrente elettrica
onde elettromagnetiche
elettrodinamica classica
tensore
elettrodinamica quantistica
fotoni
cariche
ondulatorio
vuoto
velocit della luce
modello standard
quanto
vettori
campo di forze
conservativo
equazioni di maxwell
forza di lorentz
legge di faraday
campo elettrico
legge di gauss elettrica
legge di ampremaxwell
densit di carica
densit di corrente
forza
velocit
teoria classica
relativistica
covariante
trasformazione di lorentz
tensore elettromagnetico
spin
quantizzato
potenziale elettromagnetico
teoria della relativit
pierre simon laplace
michael faraday
heinrich lenz
ottocento
quadrivettori
trasformazioni di lorentz
quadripotenziale
potenziale vettore
potenziale elettrico
teoria di gauge
equazione di poisson
gauge di lorenz
operatore di dalembert
operatore differenziale
potenziali ritardati
principio variazionale di hamilton
azione fisica
lagrangiana
condizione di lorenz
lorentz invariante
relativistica
scalare di lorentz
quadrivelocit
equazioni di eulerolagrange
equazioni del moto
moltiplicare scalarmente
principio di minima azione
particella carica
quadrimpulso
tempo proprio
tensore antisimmetrico
equazione di eulerolagrange
legge di ampremaxwell
legge di gauss magnetica
legge di faradayneumannlenz
equazioni di jefimenko
equazione delle onde
potenziale di linardwiechert
cono di luce
potenziale magnetico
fattore di lorentz
equazione di larmor
radiazione di sincrotrone
vettore di poynting
sistema di riferimento
unit cgs
notazione di einstein
campo magnetico
potenziale scalare
teoria quantistica
particelle
forza elettromagnetica
momento magnetico
muone
spostamento di lambretherford
livelli energetici
idrogeno
abeliana
gruppo di gauge
u1
quantizzazione
matrici di dirac
inquinamento elettromagnetico
1972
anni novanta
misure emf
isbn
legge di biotsavart
teoria assorbitoreemettitore di wheelerfeynman
enciclopedia britannica
thesaurus bncf
leggi
pagina principale
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Links to external pages
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SEO Advice for it.wikipedia.org
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.
Item | Factor | Pointers | |
---|---|---|---|
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 | 87% | A title should reflect the contents of a site. This site has a 67 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 35 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 267 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 5 folders above or in the first level of navigation. | |
Headings | 37% | Headers should reflect the contents of a site. This site has a 16 % match | |
Links | 12% | Link anchors should to some degree reflect the contents of a site. This site has a 6 % 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 | 45% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 15 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 93% | 92.760180995475 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 7438 words | |
Server response time | 30% | A slow server slows down a website. This server responds 12.63% slower the 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 467 inline style declarations ( <a style="color:green">) with a size of 15676 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 | 100% | Perfect, we found a correct use of normalized headings ! |
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it.wikipedia.org images and descriptions
180 images found at it.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/9c45bd74cf35662db3fa1724b8cb153970b63dc0 height: height attribute not set width: width attribute not set description: {\displaystyle j^{\nu }=\left({\rho }{c},\mathbf {j} \right)=\left({\rho }{c},j_{x},j_{y},j_{z}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2302a18e269dbecc43c57c0c2aced3bfae15278d height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {s}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4636f633eb6a26e951f1846b6f7b95246213f0d9 height: height attribute not set width: width attribute not set description: {\displaystyle \delta {\mathcal {s}}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2bb4b2b692da486e2aff8a891819e8b977b4e21f height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {s}}=\int {\mathcal {l}}dt=\int \gamma {\mathcal {l}}d\tau } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9027196ecb178d598958555ea01c43157d83597c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bca18d3c8acda311bf429fd3f1492297dca0ed94 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma {\mathcal {l}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68077d447b78fb49f8236415a6712651c35bbdf5 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{free}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d6b91aceab25cad774e9708446a673f4d61a290c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{free}=-mc^{2}{\sqrt {1-{\frac {u^{2}}{c^{2}}}}}=-mc^{2}{\sqrt {1-\beta ^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/17730ee74593ffa76d968a0c70de5c48c2ca9067 height: height attribute not set width: width attribute not set description: {\displaystyle u_{\alpha }u^{\alpha }=c^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b5d648cda2c020f6a90b08b795b2d8af4420001 height: height attribute not set width: width attribute not set description: {\displaystyle u^{\alpha }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6548ad16f04aecb67649d6e35dcd4e0eff6cefd7 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma ^{-1}={\sqrt {1-\beta ^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/14a64d6850bbf2ca141d8c29ec672ae9b206e44e height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {d}{dt}}(\gamma m\mathbf {u} )=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2fcf08553d49b24439e7def9efa8ad61c37c377c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{int}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467 height: height attribute not set width: width attribute not set description: {\displaystyle e} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9a51b8b0934f70f9f146884c903cf498d0170dff height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}_{int}=-{\frac {e}{\gamma c}}u_{\alpha }a^{\alpha }=-e\phi +{\frac {e}{c}}\mathbf {u} \cdot \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c1986d51b956cd3679a757a372c12f0708e559df height: height attribute not set width: width attribute not set description: {\displaystyle e\phi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a33c702051d96932b63ca5149249a1121733b8d4 height: height attribute not set width: width attribute not set description: {\displaystyle a^{\alpha }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bbaef0bc768c9d8c3ac83d1e4a490a725bf77cc1 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma {\mathcal {l}}_{int}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/783f96a18aa468ee2c5197103f2e839d1de7c2c2 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\mathcal {l}}_{free}+{\mathcal {l}}_{int}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3ff5aaf6fabd7cfa7e43970d4668c01ca511b917 height: height attribute not set width: width attribute not set description: {\displaystyle ds={\sqrt {x_{i}x^{i}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be8cd88951c7c0e3b181f956531b0a878bbed203 height: height attribute not set width: width attribute not set description: {\displaystyle x^{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/387fdc21b7e02258572d47ce0ef8e5ce6a4058fa height: height attribute not set width: width attribute not set description: {\displaystyle ds=cd\tau =cdt/\gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3784e4bc8993eefaab3a9ebe7d5796a584e0e04c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {s}}=\int _{t_{1}}^{t_{2}}{\mathcal {l}}dt=\int _{a}^{b}\left(-mcds-{e \over c}a_{i}dx^{i}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1aed3b5def921afbe6cc48aaf8f9b11c6f1c1e2d height: height attribute not set width: width attribute not set description: {\displaystyle a_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2dcca10d4e96f4372fdedfc8a822f47c3a38c878 height: height attribute not set width: width attribute not set description: {\displaystyle \delta {\mathcal {s}}=\delta \int \left(-mc\,ds-{e \over c}a_{i}dx^{i}\right)=-\int _{a}^{b}\left(mc\,{\frac {dx_{i}d\delta x^{i}}{ds}}+{e \over c}a_{i}d\delta x^{i}+{e \over c}\delta a_{i}dx^{i}\right)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/57b43395da6467514e34ec1c0248ca23fe6ddbba height: height attribute not set width: width attribute not set description: {\displaystyle \int \left(mc\,du_{i}\delta x^{i}+{e \over c}\delta x^{i}da_{i}+{e \over c}\delta a_{i}dx^{i}\right)-\left(mcu_{i}+{e \over c}a_{i}\right)\delta x^{i}|=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/466bfe602e8067973e579e02532b96f11bd8ba92 height: height attribute not set width: width attribute not set description: {\displaystyle u_{i}={dx_{i} \over ds}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0a4a689b27dbde72bc215e7bee66e179b18b469 height: height attribute not set width: width attribute not set description: {\displaystyle \delta a_{i}={\frac {\partial a_{i}}{\partial x^{k}}}\delta x^{k}\qquad da_{i}={\frac {\partial a_{i}}{\partial x^{k}}}dx^{k}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6d2939b154baa603833fb9847db3b2c095587c71 height: height attribute not set width: width attribute not set description: {\displaystyle \int \left(mc\,du_{i}\delta x^{i}+{e \over c}\delta x^{i}{\frac {\partial a_{i}}{\partial x^{k}}}dx^{k}+{e \over c}{\frac {\partial a_{i}}{\partial x^{k}}}\delta x^{k}dx^{i}\right)=\left[mc{du_{i} \over ds}-{e \over c}\left({\frac {\partial a_{k}}{\partial x^{i}}}-{\frac {\partial a_{i}}{\partial x^{k}}}\right)u^{k}\right]\delta x^{i}ds=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/23c44c05af04df3f4cb7933b3a409c2c81873b2f height: height attribute not set width: width attribute not set description: {\displaystyle du_{i}=(du_{i}/ds)ds} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a143196ff6e06fa1cc53b3df52a8751ab07cf650 height: height attribute not set width: width attribute not set description: {\displaystyle dx^{i}=du^{i}ds} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b35a1ce4d270b77d73494d1152bd8d8d3856fb97 height: height attribute not set width: width attribute not set description: {\displaystyle f_{ik}\equiv {\frac {\partial a_{k}}{\partial x^{i}}}-{\frac {\partial a_{i}}{\partial x^{k}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b3535bb97476f20a30a3a6ac323afa604d145057 height: height attribute not set width: width attribute not set description: {\displaystyle mc{du_{i} \over ds}-{e \over c}f_{ik}u_{k}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/383ae0b40650b321081bf4ad430848c074669c39 height: height attribute not set width: width attribute not set description: {\displaystyle p^{\alpha }=mu^{\alpha }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/317cbf1b484778bc8c7404d9c75243efe916d125 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {dp^{\alpha }}{d\tau }}=eu_{\beta }f^{\alpha \beta }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0fc4e1d2e0eb9fbc9821482a97ad563c500f9ff3 height: height attribute not set width: width attribute not set description: {\displaystyle p^{\alpha }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/38a7dcde9730ef0853809fefc18d88771f95206c height: height attribute not set width: width attribute not set description: {\displaystyle \tau } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7308cb47d2c7544f5023240b00e89ac8ee65fd54 height: height attribute not set width: width attribute not set description: {\displaystyle f^{\alpha \beta }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3e6bb763d22c20916ed4f0bb6bd49d7470cffd8 height: height attribute not set width: width attribute not set description: {\displaystyle u} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9aa90e2017c3e69f0f82403b70682f0f56331e36 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {du^{\alpha }}{d\tau }}={\frac {e}{mc}}f^{\alpha \beta }u_{\beta }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/589a31a731a97aa6d98ca538b0efd60737360d21 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {d\mathbf {p} }{d\tau }}=e\gamma \left(\mathbf {e} +\mathbf {u} \times \mathbf {b} \right)\qquad {\frac {d\mathbf {p} }{dt}}=e\left(\mathbf {e} +{\frac {\mathbf {u} }{c}}\times \mathbf {b} \right)\qquad \gamma =\left({\sqrt {1-\beta ^{2}}}\right)^{-1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/639b8374e21449fe3d0a3a531fee924f9bb8bb06 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {de}{dt}}=e\mathbf {u} \cdot \mathbf {e} } |
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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/d43a17292775e392800cb94cd08629e34da9cd7a height: height attribute not set width: width attribute not set description: {\displaystyle f^{\mu \nu }={\begin{pmatrix}0&-e_{x}/c&-e_{y}/c&-e_{z}/c\\e_{x}/c&0&-b_{z}&b_{y}\\e_{y}/c&b_{z}&0&-b_{x}\\e_{z}/c&-b_{y}&b_{x}&0\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e3ac4f07ca285e9459485beccd625a5196d6b5b0 height: height attribute not set width: width attribute not set description: {\displaystyle g^{\mu \nu }={\begin{pmatrix}0&-b_{x}&-b_{y}&-b_{z}\\b_{x}&0&e_{z}/c&-e_{y}/c\\b_{y}&-e_{z}/c&0&e_{x}/c\\b_{z}&e_{y}/c&-e_{x}/c&0\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/18a3b1f52e78feb351c33137ca68dab2764aa160 height: height attribute not set width: width attribute not set description: {\displaystyle \det \left(f\right)=\left({\frac {\mathbf {b} \cdot \mathbf {e} }{c}}\right)^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9a10a467b8c6987ca8b2d14aa73cdfb7575133c2 height: height attribute not set width: width attribute not set description: {\displaystyle \partial _{\mu }f^{\mu \nu }={\frac {4\pi }{c}}j^{\nu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a6b4f2692647cd07ccd7b756637fd4da791c2a22 height: height attribute not set width: width attribute not set description: {\displaystyle \partial _{\mu }g^{\mu \nu }=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b14d92cb729b53a99a41c9d06d212c241e7e04c height: height attribute not set width: width attribute not set description: {\displaystyle \partial _{\mu }f^{\mu \nu }={\frac {4\pi }{c}}j^{\nu }\qquad \partial _{\gamma }f_{\alpha \beta }+\partial _{\alpha }f_{\beta \gamma }+\partial _{\beta }f_{\gamma \alpha }=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b4d180b93202b273ef87179579e68a843dc992c5 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}}}\int {\frac {\rho (\mathbf {x} _{0},t_{r})}{|\mathbf {x} -\mathbf {x} _{0}|}}d^{3}x_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/86afa849ef606e5c3e34064e2b05777e8b999acc height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}c^{2}}}\int {\frac {\mathbf {j} (\mathbf {x} _{0},t_{r})}{|\mathbf {x} -\mathbf {x} _{0}|}}d^{3}x_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bddfe705744f9ead32173d10ca32002be3f7f41d height: height attribute not set width: width attribute not set description: {\displaystyle |\mathbf {x} -\mathbf {x} _{0}|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/21c3a0961325e164fddf3f56b30add5bce2f37f0 height: height attribute not set width: width attribute not set description: {\displaystyle dv} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c5fa7ff1549164a199d0a8634a9bee3a60e211b0 height: height attribute not set width: width attribute not set description: {\displaystyle t_{r}=t-{\frac {|\mathbf {x} -\mathbf {x} _{0}|}{c}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cb440a62f3e033077a232b51e53aef7a0be61e01 height: height attribute not set width: width attribute not set description: {\displaystyle \quad \nabla ^{2}\phi -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\phi }{\partial t^{2}}}=-{\frac {\rho }{\varepsilon _{0}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ec4e9c9050675332c31ba61f4fe53d847a7c height: height attribute not set width: width attribute not set description: {\displaystyle \quad \nabla ^{2}\mathbf {a} -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\mathbf {a} }{\partial t^{2}}}=-\mu _{0}\mathbf {j} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/73331dc030697dc9fdc31bc5741b5f48b1ac1cdf height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} =-\nabla \phi -{\frac {\partial \mathbf {a} }{\partial t}}\qquad \mathbf {b} =\nabla \times \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7176c2e857ae69075ce992f2aeb81923f725295 height: height attribute not set width: width attribute not set description: {\displaystyle \quad \nabla ^{2}\mathbf {e} -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\mathbf {e} }{\partial t^{2}}}=-{\frac {1}{\varepsilon _{0}}}\left(-\nabla \rho -{\frac {1}{c^{2}}}{\frac {\partial \mathbf {j} }{\partial t}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3bbb29d122dd001046fb53982b06553ea59927ac height: height attribute not set width: width attribute not set description: {\displaystyle \quad \nabla ^{2}\mathbf {b} -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\mathbf {b} }{\partial t^{2}}}=-\mu _{0}\nabla \times \mathbf {j} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/856a236997b97436a6209d8b8d1f40ad491c661b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}}}\int {\frac {1}{|\mathbf {x} -\mathbf {x} _{0}|}}\left[-\nabla '\rho -{\frac {1}{c^{2}}}{\frac {\partial \mathbf {j} }{\partial t}}\right]_{t=t_{r}}d^{3}x'} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/059264778d34190b290a0c3ee1f804e423615c7a height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} (\mathbf {x} ,t)={\frac {\mu _{0}}{4\pi }}\int {\frac {1}{|\mathbf {x} -\mathbf {x} _{0}|}}\left[\nabla '\times \mathbf {j} \right]_{t=t_{r}}d^{3}x'} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7e800d30c384dffea67d4d6dcdcc813721c7c96d height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}}}\int \left[\left({\frac {\rho (\mathbf {x} _{0},t_{r})}{|\mathbf {x} -\mathbf {x} _{0}|^{3}}}+{\frac {1}{|\mathbf {x} -\mathbf {x} _{0}|^{2}c}}{\frac {\partial \rho (\mathbf {x} _{0},t_{r})}{\partial t}}\right)(\mathbf {x} -\mathbf {x} _{0})-{\frac {1}{|\mathbf {x} -\mathbf {x} _{0}|c^{2}}}{\frac {\partial \mathbf {j} (\mathbf {x} _{0},t_{r})}{\partial t}}\right]\mathrm {d} ^{3}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d3552686ab957c76b90dff05a824801e2a9ba37 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} (\mathbf {x} ,t)={\frac {\mu _{0}}{4\pi }}\int \left[{\frac {\mathbf {j} (\mathbf {x} _{0},t_{r})}{|\mathbf {x} -\mathbf {x} _{0}|^{3}}}+{\frac {1}{|\mathbf {x} -\mathbf {x} _{0}|^{2}c}}{\frac {\partial \mathbf {j} (\mathbf {x} _{0},t_{r})}{\partial t}}\right]\times (\mathbf {x} -\mathbf {x} _{0})\mathrm {d} ^{3}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/799c59f89751f24a2719c4da95f1acdd3e2faf52 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/32adf004df5eb0a8c7fd8c0b6b7405183c5a5ef2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8663eeeae2c78f353e65e7127efb986b3646ebbd height: height attribute not set width: width attribute not set description: {\displaystyle a^{\alpha }(x)=(\varphi ,\mathbf {a} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7dc2565e6c39a81f8e2089d10fd16b51623c8d8f height: height attribute not set width: width attribute not set description: {\displaystyle x=(x_{0},\mathbf {x} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/80c3e155828f6f9517bee7e30a18a2de425763f3 height: height attribute not set width: width attribute not set description: {\displaystyle a^{\alpha }(x)={\frac {ev^{\alpha }(\tau =\tau _{0})}{v\cdot [x-r(\tau =\tau _{0})]}}\qquad x_{0}>r_{0}(\tau _{0})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fb2976bf3a0fcc5123a577c6d8bf593a8ad278b1 height: height attribute not set width: width attribute not set description: {\displaystyle v^{\alpha }(\tau )={\gamma }(c,\mathbf {v} _{s})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1190df0e638331ce5c5127d0a04957f8fbc1744f height: height attribute not set width: width attribute not set description: {\displaystyle r^{\alpha }(\tau )=(r_{0},\mathbf {r} _{s})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56dad457e274b970f5d98b9dc40bef7f895c7f6f height: height attribute not set width: width attribute not set description: {\displaystyle \tau _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87d0912028b5bec9e94d86ee6021b89d26ea48dc height: height attribute not set width: width attribute not set description: {\displaystyle x_{0}-r_{0}(\tau _{0})=|\mathbf {x} -\mathbf {r} _{s}(\tau _{0})|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0367d5bd0bc43aac1314f4414256123014443f79 height: height attribute not set width: width attribute not set description: {\displaystyle v\cdot (x-r)=\gamma c(x_{0}-r_{0}(\tau _{0}))-\mathbf {v} _{s}\cdot (\mathbf {x} -\mathbf {r} _{s}(\tau _{0}))=\gamma c|\mathbf {x} -\mathbf {r} _{s}(\tau _{0})|(1-\mathbf {\beta } \cdot \mathbf {n} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4a720c341f39f52fd96028dab83edd34d400be46 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {n} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f9bc664e2bbd6a03a43013b7fded6d429410a39d height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} -\mathbf {r} _{s}(\tau )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e height: height attribute not set width: width attribute not set description: {\displaystyle \varphi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/318e322c8f0981b469321f4156d259e4503c420e height: height attribute not set width: width attribute not set description: {\displaystyle \varphi (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}}}\left({\frac {e}{(1-\mathbf {n} \cdot \mathbf {\beta } )|\mathbf {x} -\mathbf {r} _{s}(\tau )|}}\right)_{\tau =\tau _{0}}\qquad \mathbf {a} (\mathbf {x} ,t)={\frac {\mu _{0}c}{4\pi }}\left({\frac {e\mathbf {\beta } }{(1-\mathbf {n} \cdot \mathbf {\beta } )|\mathbf {x} -\mathbf {r} _{s}(\tau )|}}\right)_{\tau =\tau _{0}}={\frac {\mathbf {\beta } (\tau =\tau _{0})}{c}}\varphi (\mathbf {x} ,t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/93fda3606e638cb01a152a8bf4deed9483e668a7 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} (\mathbf {x} ,t)={\frac {1}{4\pi \varepsilon _{0}}}\left({\frac {q(\mathbf {n} -\mathbf {\beta } )}{\gamma ^{2}(1-\mathbf {n} \cdot \mathbf {\beta } )^{3}|\mathbf {x} -\mathbf {r} _{s}(\tau )|^{2}}}+{\frac {q\mathbf {n} \times {\big (}(\mathbf {n} -\mathbf {\beta } )\times {\dot {\mathbf {\beta } }}{\big )}}{c(1-\mathbf {n} \cdot \mathbf {\beta } )^{3}|\mathbf {x} -\mathbf {r} _{s}(\tau )|}}\right)_{\tau =\tau _{0}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/efaf04cc8925ec046fcec5f15f16b0a06adc29f8 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} (\mathbf {x} ,t)={\frac {\mu _{0}}{4\pi }}\left({\frac {qc(\mathbf {\beta } \times \mathbf {n} )}{\gamma ^{2}(1-\mathbf {n} \cdot \mathbf {\beta } )^{3}|\mathbf {x} -\mathbf {r} _{s}(\tau )|^{2}}}+{\frac {q\mathbf {n} \times {\big (}\mathbf {n} \times {\big (}(\mathbf {n} -\mathbf {\beta } )\times {\dot {\mathbf {\beta } }}{\big )}{\big )}}{(1-\mathbf {n} \cdot \mathbf {\beta } )^{3}|\mathbf {x} -\mathbf {r} _{s}(\tau )|}}\right)_{\tau =\tau _{0}}={\frac {\mathbf {n} (\tau =\tau _{0})}{c}}\times \mathbf {e} (\mathbf {x} ,t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/332b150f9a215c541c6cc7b88118d56a3c0b6c1c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\beta } (t)={\frac {\mathbf {v} _{s}(t)}{c}}\qquad \mathbf {n} (t)={\frac {\mathbf {r} -\mathbf {r} _{s}(t)}{|\mathbf {r} -\mathbf {r} _{s}(t)|}}\qquad \gamma (t)={\frac {1}{\sqrt {1-|\mathbf {\beta } (t)|^{2}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a height: height attribute not set width: width attribute not set description: {\displaystyle \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/647828041f5b1ad08d57f63564ece8fb271efd6c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {n} -\mathbf {\beta } } |
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https://upload.wikimedia.org/wikipedia/commons/thumb/9/9b/synchrotron_radiation_energy_flux.png/510px-synchrotron_radiation_energy_flux.png height: 217 width: 510 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/85e6afc505d5edf89f75abe3294af20c23df9da8 height: height attribute not set width: width attribute not set description: {\displaystyle [\mathbf {s\cdot } {\hat {\mathbf {n} }}]_{\tau =\tau _{0}}={\frac {q^{2}}{16\pi ^{2}\varepsilon _{0}c}}\left\{{\frac {1}{r^{2}}}\left|{\frac {{\hat {\mathbf {n} }}\times [({\hat {\mathbf {n} }}-{\vec {\beta }})\times {\dot {\vec {\beta }}}]}{(1-{\vec {\beta }}\mathbf {\cdot } {\hat {\mathbf {n} }})^{3}}}\right|^{2}\right\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d85bd97d72bdf88c13f0cde79182c5eedfba982e height: height attribute not set width: width attribute not set description: {\displaystyle {\vec {\beta }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9ab10033bec1f1adc90c242b512a77674dfcf9b9 height: height attribute not set width: width attribute not set description: {\displaystyle {\dot {\vec {\beta }}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6dffcac569a9383f962141598f0cc960de28b79 height: height attribute not set width: width attribute not set description: {\displaystyle (1-{\vec {\beta }}\mathbf {\cdot } {\vec {\mathbf {n} }})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f099c95fd4dc541e97c787faa4d6ea772bd839ab height: height attribute not set width: width attribute not set description: {\displaystyle t'=t_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5bfcc6384d49ce7d74e1dcbe60fc49c35fd5deca height: height attribute not set width: width attribute not set description: {\displaystyle t'=t_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/544c4db9a2e8cc71fc2779b994be07addcd631c5 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\mathrm {d} p}{\mathrm {d} {\mathit {\omega }}}}={\frac {q^{2}}{16\pi ^{2}\varepsilon _{0}c}}\,{\frac {|{\hat {\mathbf {n} }}(t')\times \{[{\hat {\mathbf {n} }}(t')-{\vec {\beta }}(t')]\times {\dot {\vec {\beta }}}(t')\}|^{2}}{[1-{\vec {\beta }}(t')\mathbf {\cdot } {\vec {\mathbf {n} }}(t')]^{5}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8d90439eaa32132c2acf96c4e8958d2a00777120 height: height attribute not set width: width attribute not set description: {\displaystyle p={\frac {e^{2}}{6\pi \varepsilon _{0}c}}\gamma ^{6}\left[\left|{\dot {\vec {\beta }}}\right|^{2}-\left|{\vec {\beta }}\times {\dot {\vec {\beta }}}\right|\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a1e3b0a0a062273f5c0d6f7dc891ce4347671118 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma >>1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9a0ce46abadb6d2f5ba61a54cd7d981e1688fd7c height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\mathrm {d} p}{\mathrm {d} {\mathit {\omega }}}}\simeq {\frac {2}{\pi }}{\frac {e^{2}}{c^{3}}}\gamma ^{6}{\frac {|{\dot {\mathbf {v} }}|^{2}}{(1+\gamma ^{2}\theta ^{2})^{3}}}\left[1-{\frac {4\gamma ^{2}\theta ^{2}\cos ^{2}\phi }{(1+\gamma ^{2}\theta ^{2})^{2}}}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/af5763768cacca6d906ef93dc8cdde8534c64c93 height: height attribute not set width: width attribute not set description: {\displaystyle (1-\beta \cos \theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2a7bc6e34b53e0e8a8815159c356b1acccf7ea24 height: height attribute not set width: width attribute not set description: {\displaystyle \theta =0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6b7f94d4f38bfee88de919a8c165d4896d389f1 height: height attribute not set width: width attribute not set description: {\displaystyle {\stackrel {\mathbf {e} _{\parallel }}{}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4566973352e033d29455f8bec9444da42a8ff467 height: height attribute not set width: width attribute not set description: {\displaystyle {\stackrel {\mathbf {b} _{\parallel }}{}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d70491fbad0afe53eeb4c8529a77f2f777950342 height: height attribute not set width: width attribute not set description: {\displaystyle {\stackrel {\mathbf {e} _{\bot }}{}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e0521b07022dde1b0604ee283d5d1dd1f0232177 height: height attribute not set width: width attribute not set description: {\displaystyle {\stackrel {\mathbf {b} _{\bot }}{}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7bcc3d6926b3e0862053556097770e9a6fa3b6a4 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {{e}_{\parallel }} '=\mathbf {{e}_{\parallel }} \qquad \mathbf {{b}_{\parallel }} '=\mathbf {{b}_{\parallel }} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5a1f52c720961f6dc2601778552dbbd08cfc14db height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {{e}_{\bot }} '=\gamma \left(\mathbf {e} _{\bot }+\mathbf {v} \times \mathbf {b} \right)\qquad \mathbf {{b}_{\bot }} '=\gamma \left(\mathbf {b} _{\bot }-{\frac {1}{c^{2}}}\mathbf {v} \times \mathbf {e} \right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fa29d3c086ee9f2f73b8f42c84e8c930c7e8b8aa height: height attribute not set width: width attribute not set description: {\displaystyle \gamma ={\frac {1}{\sqrt {1-v^{2}/{c}^{2}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/58873e4b435ab80585c38b5428e75cdb2203d41e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}&\mathbf {e} '=\gamma \left(\mathbf {e} +\mathbf {v} \times \mathbf {b} \right)-\left({\gamma -1}\right)(\mathbf {e} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\&\mathbf {b} '=\gamma \left(\mathbf {b} -{\frac {\mathbf {v} \times \mathbf {e} }{c^{2}}}\right)-\left({\gamma -1}\right)(\mathbf {b} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2c7f59da41a0d16013467daeb415012f02c28d1b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\hat {v}} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/261e20fe101de02a771021d9d4466c0ad3e352d7 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {u} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/88bfa4aa8a855237bbf3288fb847e9fe8e68f118 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {f} =q\mathbf {e} +q\mathbf {u} \times \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/df4d93116087c8c47c4bbe26c2d6cbd54dec38e0 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {f'} =q\mathbf {e'} +q\mathbf {u'} \times \mathbf {b'} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/380b844a57e6259b6a98c4c0a68649d82d921e47 height: height attribute not set width: width attribute not set description: {\displaystyle u_{x}'={\frac {u_{x}+v}{1+(v\ u_{x})/c^{2}}}\qquad u_{y}'={\frac {u_{y}/\gamma }{1+(v\ u_{x})/c^{2}}}\qquad u_{z}'={\frac {u_{z}/\gamma }{1+(v\ u_{x})/c^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8229c75e2cd26e3a06b3b865cee041420834cd3a height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}&\displaystyle e'_{x}=e_{x}\\&e'_{y}=\gamma \left(e_{y}-vb_{z}\right)\\&e'_{z}=\gamma \left(e_{z}+vb_{y}\right)\\\end{aligned}}\quad {\begin{aligned}&\displaystyle b'_{x}=b_{x}\\&b'_{y}=\gamma \left(b_{y}+{\frac {v}{c^{2}}}e_{z}\right)\\&b'_{z}=\gamma \left(b_{z}-{\frac {v}{c^{2}}}e_{y}\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3edfdf2c4d5aa8fdc3b02dfd5ca9896192c018b6 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}&\displaystyle e'_{x}=e_{x}\\&e'_{y}=\gamma \left(e_{y}-\beta b_{z}\right)\\&e'_{z}=\gamma \left(e_{z}+\beta b_{y}\right)\\\end{aligned}}\quad {\begin{aligned}&\displaystyle b'_{x}=b_{x}\\&b'_{y}=\gamma \left(b_{y}+\beta e_{z}\right)\\&b'_{z}=\gamma \left(b_{z}-\beta e_{y}\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0544e26ea118dd1c0d443f0c8cc8dec4594a253e height: height attribute not set width: width attribute not set description: {\displaystyle \beta \ {\overset {\underset {\mathrm {def} }{}}{=}}\ v/c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/048e0eeed251ca903fbe0343c202c7bc48d0973f 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/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/f41c6f53c9c9bca5bffa903f599a5f98f7156ac2 height: height attribute not set width: width attribute not set description: {\displaystyle f'^{\mu \nu }=\lambda _{\ \rho }^{\mu }\lambda _{\ \sigma }^{\nu }f^{\rho \sigma }} |
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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/cf06eab78dedf07379cf214f6ae2bb3ac12f83c3 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {d} =\varepsilon _{0}\mathbf {e} \qquad \mathbf {b} =\mu _{0}\mathbf {h} \qquad c^{2}={\frac {1}{\varepsilon _{0}\mu _{0}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ddffb4f2a3bdb2e8e26e10ab49e1b8b29bceeb7d height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathbf {d} '&=\gamma \left(\mathbf {d} +{\frac {1}{c^{2}}}\mathbf {v} \times \mathbf {h} \right)+(1-\gamma )(\mathbf {d} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\\mathbf {h} '&=\gamma \left(\mathbf {h} -\mathbf {v} \times \mathbf {d} \right)+(1-\gamma )(\mathbf {h} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\\end{aligned}}} |
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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/7f6e0552282bb1197bcb683c96790568c69aff6f height: height attribute not set width: width attribute not set description: {\displaystyle \varphi '=\gamma (\varphi -va_{\parallel })\qquad a_{\parallel }'=\gamma (a_{\parallel }-v\varphi /c^{2})\qquad a_{\bot }'=a_{\bot }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1bf547e8580dd516b49ea1eb7119faa4bfb3503b height: height attribute not set width: width attribute not set description: {\displaystyle \scriptstyle a_{\parallel }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e73a4c92ba76c594f43053c31dad977f1bf41d18 height: height attribute not set width: width attribute not set description: {\displaystyle \scriptstyle a_{\bot }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c25c1c787f0d695fce48fca2912c83b6b66d3524 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathbf {a} '&=\mathbf {a} -{\dfrac {\gamma \varphi }{c^{2}}}\mathbf {v} +(\gamma -1)(\mathbf {a} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\{\varphi }'&=\gamma \left(\varphi -\mathbf {a} \cdot \mathbf {v} \right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b82f2b862d5181fb8dce2ab00f6f94146ddd5a1b height: height attribute not set width: width attribute not set description: {\displaystyle j_{\parallel }'=\gamma (j_{\parallel }-v\rho )\qquad \rho '=\gamma (\rho -vj_{\parallel }/c^{2})\qquad j_{\bot }'=j_{\bot }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/983ab8689532bc9a276a297125ced45a6734e406 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathbf {j} '&=\mathbf {j} -\gamma \rho \mathbf {v} +\left(\gamma -1\right)(\mathbf {j} \cdot \mathbf {\hat {v}} )\mathbf {\hat {v}} \\{\rho }'&=\gamma (\rho -\mathbf {j} \cdot \mathbf {v} /c^{2})\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e0c315640f23dff00f0c219e90680317081df0f height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} '\approx \mathbf {e} +\mathbf {v} \times \mathbf {b} \qquad \mathbf {b} '\approx \mathbf {b} -{\frac {1}{c^{2}}}\mathbf {v} \times \mathbf {e} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/08953c4b114db8bf0f5b73d0e1a48f8f8efac6c4 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {j} '\approx \mathbf {j} -\rho \mathbf {v} \qquad \rho '\approx \left(\rho -{\frac {1}{c^{2}}}\mathbf {j} \cdot \mathbf {v} \right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/20f92feb13e56738de7e54fd3e2a29ab08f21eff height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{c^{2}}}=\varepsilon _{0}\mu _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d4fca45f6e56830b7a7209c839ee4b59b5c3504f height: height attribute not set width: width attribute not set description: {\displaystyle \nabla ^{2}\mathbf {a} -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\mathbf {a} }{\partial t^{2}}}=-\mu _{0}\mathbf {j} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fbee80c59b520eda0273c91f6cb0ff3dae9eee09 height: height attribute not set width: width attribute not set description: {\displaystyle \nabla ^{2}\varphi -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\varphi }{\partial t^{2}}}=-{\frac {\rho }{\varepsilon _{0}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/37893e96a498d94dddac018a15c984533a852ebf height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {j} =-e\psi ^{\dagger }{\boldsymbol {\alpha }}\psi \,\quad \rho =-e\psi ^{\dagger }\psi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a585d2bb19071162720ea56a7b087dab3ec17156 height: height attribute not set width: width attribute not set description: {\displaystyle {\boldsymbol {\alpha }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/93cfad764801b85f89f4dfb17199f0a91dda3146 height: height attribute not set width: width attribute not set description: {\displaystyle \nabla ^{2}\mathbf {a} -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\mathbf {a} }{\partial t^{2}}}=\mu _{0}e\psi ^{\dagger }{\boldsymbol {\alpha }}\psi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b07ed6370f1ba41771567dde743c43fe494d1dbb height: height attribute not set width: width attribute not set description: {\displaystyle \nabla ^{2}\varphi -{\frac {1}{c^{2}}}{\frac {\partial ^{2}\varphi }{\partial t^{2}}}={\frac {1}{\varepsilon _{0}}}e\psi ^{\dagger }\psi } |
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https://upload.wikimedia.org/wikipedia/commons/thumb/7/73/blue_pencil.svg/10px-blue_pencil.svg.png height: 10 width: 10 description: modifica su wikidata |
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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://it.wikipedia.org/static/images/footer/wikimedia-button.png height: 31 width: 88 description: wikimedia foundation |
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http://it.wikipedia.org/static/images/footer/poweredby_mediawiki_88x31.png height: 31 width: 88 description: powered by mediawiki |
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