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SEO Keyword summary for en.wikipedia.org/wiki/inductance
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 inductance current |
long Tail Keywords (2 words) magnetic field mutual inductance magnetic flux mathrm d d mathbf |
long Tail Keywords (3 words) mathrm d mathbf rate of change if the current magnetic field energy d mathbf x number of turns through the circuit |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/inductance 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
inductance 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
wikipedia free encyclopedia solenoid displaystyle phi mathcal etfrac textdtextdtphi vtlfrac textditextdtqquad qquad lphi over mkell ell ptfrac textdutextdtvtit beginalignedfrac textdutextdtliifrac textditextdt pttextduliitextdiendaligned uint iliitextdi beginalignedulint iitextdi pttfrac endaligned ititextpeaksin leftomega tright beginalignedvtlfrac textditextdtlfrac textdtextdtleftitextpeaksin trightrightomega litextpeakcos trightomega litextpeaksin tpi rightendaligned itextpeak omega vpomega lip flip xlfrac vpip tfrac ltextdc text textnhtextmell leftln leftfrac rright right textnhtextm texto ltextac lmnfrac oint cmoint cnfrac mathrm mathbf mcdot leftmathbf mmathbf nright mijmathrel stackrel def frac ijij ijint simathbf jcdot int sinabla times cdot cimathbf ioint cileftfrac cjfrac jleftmathbf imathbf jrightrightcdot lfrac left yoint coint cfrac rightmathcal omathsf bendquad righttfrac textstyle ytfrac bend bendmathcal omu omathord leftmu bfrac niell niaell nphi aell textdltextdell approx lsimathrel overset underset ifrac lambda ldimathrel textdnphi textdifrac textdlambda textdi vtfrac textdtfrac textditextdtldifrac mnmphi msum limits klmn lmn vmfrac mtextdtnmfrac textdphi mtextdtsum klmnfrac textdintextdt sum mkimvmtextdtsum kimlmntextdinmathrel kfrac partial wleftirightpartial intextdin wpartial impartial infrac inpartial wleftirightfrac kimlmnin mij textdtm textdt textopen circuitm textmax couplingsqrt mksqrt leq sbeginbmatrixl endbmatrix beginalignedmathbf dots nvdots vdots ddots ndots lnendbmatrixendaligned amathrm smzs zfrac ksleft rightfrac sqrt zsqrt ztextinfrac zsl zleftfrac rightleft ztextinapprox atextiapprox atextv ltexts ltextp beginalignedlsijfrac detmathbf ptlpifrac nmathbf ijendaligned beginbmatrix cdots ncdots endbmatrixquad quad ijmathbf vtextsfrac ntextsntextpvtextp vtexts vtextp ntexts ntextp itextsfrac ntextpntextsitextp itexts itextp baright lmu raright ymathcal oleftfrac rightright beginalignedmathcal biggl arightell aright sinh rightell rightleftell biggr sarighttfrac yright sgeq cosh arightfrac asqrt rightapprox sarightendaligned yapprox sigma textr xlnx edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/inductance
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/inductance
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
inductance 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
statistics
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joules
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SEO Advice for en.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 | |
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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 | 65% | A title should reflect the contents of a site. This site has a 50 % match | |
Title Length | 30% | Limit your title to anywhere between 40 and 70 characters. Your title was 23 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 408 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 | 53% | Headers should reflect the contents of a site. This site has a 23 % match | |
Links | 10% | Link anchors should to some degree reflect the contents of a site. This site has a 5 % match | |
Image alt tags | 11% | Image alt tags should to some degree reflect the contents of a site. This site has a 4 % match | |
Bold and italic | 24% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 8 % 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 | 98% | 97.769516728625 % 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 8816 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 40.37% 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 553 inline style declarations ( <a style="color:green">) with a size of 19617 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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en.wikipedia.org images and descriptions
198 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/0a07d98bb302f3856cbabc47b2b9016692e3f7bc height: height attribute not set width: width attribute not set description: {\displaystyle m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c16aff97ada507d4481b0a4e06ad070423dfad6 height: height attribute not set width: width attribute not set description: {\displaystyle l_{m,n}={\frac {\mu _{0}}{4\pi }}\oint _{c_{m}}\oint _{c_{n}}{\frac {\mathrm {d} \mathbf {x} _{m}\cdot \mathrm {d} \mathbf {x} _{n}}{\ \left|\mathbf {x} _{m}-\mathbf {x} _{n}\right|\ }}\ ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/957e2166e45b11d83b27710666eb7aa38f5e4b89 height: height attribute not set width: width attribute not set description: {\displaystyle c_{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0301812adb392070d834ca2df4ed97f1cf132f33 height: height attribute not set width: width attribute not set description: {\displaystyle c_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fe2fd9b8decb38a3cd158e7b6c0c6e2d987fefcc height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4350b23f6c494d91ca5432ab308852d3799ae6ab height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {d} \mathbf {x} _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c877cff44ece60d864b32c5ad4b08c21acf7f27b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47a827880e4a0863252d0e10cd47a3e064190fd3 height: height attribute not set width: width attribute not set description: {\displaystyle \mathrm {d} \mathbf {x} _{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/19c4eb8112f7db1356461e380c1a7ff13a085688 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} _{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ba686177086289f8220e8fefb95cd4d50770021e height: height attribute not set width: width attribute not set description: {\displaystyle m_{ij}\mathrel {\stackrel {\mathrm {def} }{=}} {\frac {\phi _{ij}}{i_{j}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b7cb04680c2246f78082e43ec912f72afe7af266 height: height attribute not set width: width attribute not set description: {\displaystyle i_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2f461e54f5c093e92a55547b9764291390f0b5d0 height: height attribute not set width: width attribute not set description: {\displaystyle j} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/59f1c21caa7785a1f4b3681e92eeb92d3a9d1bfd height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{ij}\ \,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e2dae28913f519171bf3a021c3cf392f4bc7b238 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4598eb9b4e1c079e0973de79383fc6f898744e18 height: height attribute not set width: width attribute not set description: {\displaystyle c_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ddde3e35569463a5ffd2a47e42e7de97adbbbe58 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{ij}=\int _{s_{i}}\mathbf {b} _{j}\cdot \mathrm {d} \mathbf {a} =\int _{s_{i}}(\nabla \times \mathbf {a_{j}} )\cdot \mathrm {d} \mathbf {a} =\oint _{c_{i}}\mathbf {a} _{j}\cdot \mathrm {d} \mathbf {s} _{i}=\oint _{c_{i}}\left({\frac {\mu _{0}i_{j}}{4\pi }}\oint _{c_{j}}{\frac {\mathrm {d} \mathbf {s} _{j}}{\left|\mathbf {s} _{i}-\mathbf {s} _{j}\right|}}\right)\cdot \mathrm {d} \mathbf {s} _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cc49dc02c0ec8c86b67e7d10518ac791eda0bf22 height: height attribute not set width: width attribute not set description: {\displaystyle c_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/de6e810a93f67802ecb603ee0e3324005c6e583e height: height attribute not set width: width attribute not set description: {\displaystyle s_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/80a0200459f2e80ed4c3da665791a9fb100905e2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} _{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/65678ae27e9a7224fe6d7ae71e2b13fd3daf6894 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} _{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6019bb70c912e59e9d5f442e9217517743ed4831 height: height attribute not set width: width attribute not set description: {\displaystyle a_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/12f15e28fb29ef4843d17e174c4582735849c7aa height: height attribute not set width: width attribute not set description: {\displaystyle \ m=n\ .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2e5a9f5696cc4081ad12340c7224e1097c39623a height: height attribute not set width: width attribute not set description: {\displaystyle \ 1/\left|\mathbf {x} -\mathbf {x} '\right|\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8124de742ae987fe73be9ca9d3d4ba8586e28b11 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/894bc2bf45ec4caf3bb8bc823bfaa684943b698f height: height attribute not set width: width attribute not set description: {\displaystyle l={\frac {\mu _{0}}{4\pi }}\left[\ \ell \ y+\oint _{c}\oint _{c'}{\frac {\mathrm {d} \mathbf {x} \cdot \mathrm {d} \mathbf {x} '}{\ \left|\mathbf {x} -\mathbf {x} '\right|\ }}\ \right]+{\mathcal {o}}_{\mathsf {bend}}\quad {\text{ for }}\;\left|\mathbf {s} -\mathbf {s} '\right|>{\tfrac {1}{2}}a\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/15110288d98d2ff3b63447739f1711d69b0d3e1d height: height attribute not set width: width attribute not set description: {\displaystyle \ \mathbf {s} \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/07ce0c5b32b060ca7acfc3573205fe0680cb0162 height: height attribute not set width: width attribute not set description: {\displaystyle \ \mathbf {s} '\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b010f9498beac548bca41502f10621736d581b98 height: height attribute not set width: width attribute not set description: {\displaystyle \ c\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aab30cf3f746e86b199ec895add767c3c082a4fd height: height attribute not set width: width attribute not set description: {\displaystyle \ c'\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e027f732c772e69ea5a8e5d781c4517b35d3b88 height: height attribute not set width: width attribute not set description: {\displaystyle \ \ell \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c9fae0bc05719eaaac8322fd4c65fa3851477fab height: height attribute not set width: width attribute not set description: {\displaystyle \ y\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d21b911ab60881ca2fb247e35faf6970db4b5410 height: height attribute not set width: width attribute not set description: {\displaystyle \ y=0\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f049733dbcf0fe50fac1352c4bb9a3c5a52a3486 height: height attribute not set width: width attribute not set description: {\textstyle \ y={\tfrac {1}{2}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7aa10589db5dcdc7a0560f3eaa496d8496cba077 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\mathcal {o}}_{\mathsf {bend}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aac6e71616edf333723dc4cdffed22dc8964a73c height: height attribute not set width: width attribute not set description: {\displaystyle \ {\mathcal {o}}_{\mathsf {bend}}={\mathcal {o}}(\mu _{0}a)\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f6456505e5b0a6ca9a15b7be4526fc158a757fdf height: height attribute not set width: width attribute not set description: {\textstyle \ {\mathcal {o}}_{\mathsf {bend}}={\mathcal {o}}{\mathord {\left({\mu _{0}a^{2}}/{\ell }\right)}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47136aad860d145f75f3eed3022df827cee94d7a height: height attribute not set width: width attribute not set description: {\displaystyle b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4f96348caa5755924bf1754fd6fd2ceb070f6876 height: height attribute not set width: width attribute not set description: {\displaystyle b={\frac {\mu _{0}\,n\,i}{\ell }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3 height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac height: height attribute not set width: width attribute not set description: {\displaystyle l} |
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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/eb70305cb61ca0cfee8a8b7894961aceec3fc21c height: height attribute not set width: width attribute not set description: {\displaystyle \phi ={\frac {\mu _{0}\,n\,i\,a}{\ell }},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7dfdbd33e0a6dfb70025548ed8b46c3bf77eb12e height: height attribute not set width: width attribute not set description: {\displaystyle l={\frac {n\,\phi }{i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/340fb32942baac9aada07f51f2e865eb54307a8f height: height attribute not set width: width attribute not set description: {\displaystyle l={\frac {\mu _{0}\,n^{2}\,a}{\ell }}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a0b6d651eaf432dbf1f106021c8bb499ae83fd1f height: height attribute not set width: width attribute not set description: {\displaystyle r_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dea0a0293841cce9eef98b55e53a92b82ae59ee4 height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1f5a79bfd0a50678913082f322d849349359975c height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{d}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/50cfa3bd0be89e8b8fb64ba9b7cfaa593f348bc7 height: height attribute not set width: width attribute not set description: {\displaystyle r_{o1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e58d9dd96489f1422fe7e8d856dd8c42f34a76d height: height attribute not set width: width attribute not set description: {\displaystyle r_{o2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6d43ae982e76b7e1a5b24f57a9a82d2f31460d6 height: height attribute not set width: width attribute not set description: {\displaystyle l'={\frac {{\text{d}}l}{{\text{d}}\ell }}\approx {\frac {\mu _{d}}{2\pi }}\ln {\frac {r_{o1}}{r_{i}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8a608172353d0f5abccab36923bfe09267a01fa0 height: height attribute not set width: width attribute not set description: {\displaystyle l_{s}(i)\mathrel {\overset {\underset {\mathrm {def} }{}}{=}} {\frac {n\ \phi }{i}}={\frac {\lambda }{i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56e92f426c2a65e29921c1f2c7c20a1d9e2fa4b7 height: height attribute not set width: width attribute not set description: {\displaystyle l_{d}(i)\mathrel {\overset {\underset {\mathrm {def} }{}}{=}} {\frac {{\text{d}}(n\phi )}{{\text{d}}i}}={\frac {{\text{d}}\lambda }{{\text{d}}i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bb1c392284e44a2022ba8755f53f0c2bab30688d height: height attribute not set width: width attribute not set description: {\displaystyle v(t)={\frac {{\text{d}}\lambda }{{\text{d}}t}}={\frac {{\text{d}}\lambda }{{\text{d}}i}}{\frac {{\text{d}}i}{{\text{d}}t}}=l_{d}(i){\frac {{\text{d}}i}{{\text{d}}t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b76fce82a62ed5461908f0dc8f037de4e3686b0 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3f539901b6e206558d2a9e0ddfba3682cc56bab4 height: height attribute not set width: width attribute not set description: {\displaystyle \lambda _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6d84d2f8cdb1487bb4f6a616498c3f8ef6e04ccb height: height attribute not set width: width attribute not set description: {\displaystyle \displaystyle \lambda _{m}=n_{m}\phi _{m}=\sum \limits _{n=1}^{k}l_{m,n}\ i_{n}\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0c7e3465bc22700e96454f5f14ff3aaf63bea7fd height: height attribute not set width: width attribute not set description: {\displaystyle n_{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b3e54271ff4d7f89332a69ec6cd1e004f057e671 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/919bcf1275b14d15ab5a79ba31f53b1028acd772 height: height attribute not set width: width attribute not set description: {\displaystyle l_{m,n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ab74936d58a6887fd48b5a3029b7264e116266e4 height: height attribute not set width: width attribute not set description: {\displaystyle \displaystyle v_{m}={\frac {{\text{d}}\lambda _{m}}{{\text{d}}t}}=n_{m}{\frac {{\text{d}}\phi _{m}}{{\text{d}}t}}=\sum \limits _{n=1}^{k}l_{m,n}{\frac {{\text{d}}i_{n}}{{\text{d}}t}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e39c47348c7acfafbf415f12afaaff6e0a0900ca height: height attribute not set width: width attribute not set description: {\displaystyle v_{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b40fa6181339bb9f0de96987c7c04ea88df5f6f5 height: height attribute not set width: width attribute not set description: {\displaystyle n_{n}\ i_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d3d795ed0b52e10448a9cbc5baf6bcce04462790 height: height attribute not set width: width attribute not set description: {\displaystyle n_{m}\ n_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/acc33e234724de7a2f2bb641833e6e6ceae88c8c height: height attribute not set width: width attribute not set description: {\displaystyle \sum \limits _{m}^{k}i_{m}v_{m}{\text{d}}t=\sum \limits _{m,n=1}^{k}i_{m}l_{m,n}{\text{d}}i_{n}\mathrel {\overset {!}{=}} \sum \limits _{n=1}^{k}{\frac {\partial w\left(i\right)}{\partial i_{n}}}{\text{d}}i_{n}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b9f8c56ba74fe656a6e7334c88970d5225891431 height: height attribute not set width: width attribute not set description: {\displaystyle \displaystyle {\frac {\partial ^{2}w}{\partial i_{m}\partial i_{n}}}={\frac {\partial ^{2}w}{\partial i_{n}\partial i_{m}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b59ac78841bd0c41d749606f2355a429e2e555e9 height: height attribute not set width: width attribute not set description: {\displaystyle \displaystyle w\left(i\right)={\frac {1}{2}}\sum \limits _{m,n=1}^{k}i_{m}l_{m,n}i_{n}.} |
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https://upload.wikimedia.org/wikipedia/commons/9/95/mutually_inducting_inductors.png height: 174 width: 231 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6136d919b3f10cc58cc023e05a5c36b2f44e111f height: height attribute not set width: width attribute not set description: {\displaystyle m_{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c2c53291151121f7cdcb8061e796c866fc4264ed height: height attribute not set width: width attribute not set description: {\displaystyle m_{21}=n_{1}\ n_{2}\ p_{21}\!} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8d138a4939a763d5cf2b93dca0eecdd5a0b0d3c2 height: height attribute not set width: width attribute not set description: {\displaystyle m_{21}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/71b670ae74954b8aacd4d720d9b2b2081f6d3869 height: height attribute not set width: width attribute not set description: {\displaystyle n_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/597ea9dac049261fdda77c5176b050e6588d6bb9 height: height attribute not set width: width attribute not set description: {\displaystyle n_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5a8d11e3ae15dde0a77bc9c9863bbbf5694d0b4c height: height attribute not set width: width attribute not set description: {\displaystyle p_{21}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd height: height attribute not set width: width attribute not set description: {\displaystyle m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9f560d1162e9c7d298900b3ec637979807e94bd9 height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}=l_{1}\ {\frac {{\text{d}}i_{1}}{{\text{d}}t}}-m\ {\frac {{\text{d}}i_{2}}{{\text{d}}t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/98d33f5d498d528bd8c10edc8ac8c34347f32b3a height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e79dc1b001f8b923df475ed14de023cbc456013 height: height attribute not set width: width attribute not set description: {\displaystyle l_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e685baf26cec1bf6b20368c2d569808b5132a488 height: height attribute not set width: width attribute not set description: {\displaystyle {\text{d}}i_{1}\,/\,{\text{d}}t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5ebd4a49a5d1e0c450a37e19df060da62e21c5d2 height: height attribute not set width: width attribute not set description: {\displaystyle {\text{d}}i_{2}\,/\,{\text{d}}t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/14feff7997a635a64f7dfacfbd0374a24ab279bd height: height attribute not set width: width attribute not set description: {\displaystyle i_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d09bbc663c577294a19c32903db9df7df5393863 height: height attribute not set width: width attribute not set description: {\displaystyle {v_{2} \over v_{1}}_{\text{open circuit}}={m \over l_{1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0619e4efeff7c69c9a1b570e5a2d0d39e4f3211f height: height attribute not set width: width attribute not set description: {\displaystyle m^{2}=m_{1}m_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b30027cabc8a624ddd15d57394ed3b7ebcf84ecf height: height attribute not set width: width attribute not set description: {\displaystyle {v_{2} \over v_{1}}_{\text{max coupling}}={\sqrt {l_{2} \over l_{1}\ }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ade306b1145bbafd4c16ca29b1d6d713f5a1ee10 height: height attribute not set width: width attribute not set description: {\displaystyle m=k{\sqrt {l_{1}\ l_{2}\ }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6a952cfe42c86b7741f55a817da0e251793a358 height: height attribute not set width: width attribute not set description: {\displaystyle l_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/907473f47f1507f50b023871549050cc2bcc5ac2 height: height attribute not set width: width attribute not set description: {\displaystyle 0\leq k<1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/15a02353ca5a88fe10890c0e45e689b26f21ae67 height: height attribute not set width: width attribute not set description: {\displaystyle -1 |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/652ec55a09f63b383b59ce4fcb5527fd7abb66c6 height: height attribute not set width: width attribute not set description: {\displaystyle [\mathbf {z} ]=s{\begin{bmatrix}l_{1}\ m\\m\ l_{2}\end{bmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/27053a9a0592616f59f1f2144ab57559ee6d4a4d height: height attribute not set width: width attribute not set description: {\displaystyle [\mathbf {y} ]={\frac {1}{s}}{\begin{bmatrix}l_{1}\ m\\m\ l_{2}\end{bmatrix}}^{-1}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/01d131dfd7673938b947072a13a9744fe997e632 height: height attribute not set width: width attribute not set description: {\displaystyle s} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/67534d4088c19d6122bb82fabc11d9f0c04e5c86 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}&[\mathbf {z} ]=s{\begin{bmatrix}l_{1}&m_{12}&m_{13}&\dots &m_{1n}\\m_{12}&l_{2}&m_{23}&\dots &m_{2n}\\m_{13}&m_{23}&l_{3}&\dots &m_{3n}\\\vdots &\vdots &\vdots &\ddots \\m_{1n}&m_{2n}&m_{3n}&\dots &l_{n}\\\end{bmatrix}}\\\end{aligned}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/c/c0/mutual_inductance_equivalent_circuit.svg/220px-mutual_inductance_equivalent_circuit.svg.png height: 135 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1cc6b75e09a8aa3f04d8584b11db534f88fb56bd height: height attribute not set width: width attribute not set description: {\displaystyle z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3cd85529417776f1ae43598d068b5ed468a4b704 height: height attribute not set width: width attribute not set description: {\displaystyle a_{v}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ba04108e0332262ecf8b05cf64ed811ae23f2c3 height: height attribute not set width: width attribute not set description: {\displaystyle a_{\mathrm {v} }={\frac {smz}{\,s^{2}l_{1}l_{2}-s^{2}m^{2}+sl_{1}z\,}}={\frac {k}{\,s\left(1-k^{2}\right){\frac {\sqrt {l_{1}l_{2}}}{z}}+{\sqrt {\frac {l_{1}}{l_{2}}}}\,}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6c035ffa69b5bca8bf2d16c3da3aaad79a8bcbfa height: height attribute not set width: width attribute not set description: {\displaystyle k=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7026f82f838c6acad6335dd521c66c3dbe963d0a height: height attribute not set width: width attribute not set description: {\displaystyle a_{\mathrm {v} }={\sqrt {l_{2} \over l_{1}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f77e5f823cb1d4f76e6731eea6740fd62c073c6d height: height attribute not set width: width attribute not set description: {\displaystyle z_{\text{in}}={\frac {s^{2}l_{1}l_{2}-s^{2}m^{2}+sl_{1}z}{sl_{2}+z}}={\frac {l_{1}}{l_{2}}}\,z\,\left({\frac {1}{1+{\frac {z}{\,sl_{2}\,}}}}\right)\left(1+{\frac {1-k^{2}}{\frac {z}{\,sl_{2}\,}}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/189b2a8adaf9e00591672b8fc766501d28d1fc1f height: height attribute not set width: width attribute not set description: {\displaystyle z_{\text{in}}={\frac {sl_{1}z}{sl_{2}+z}}={\frac {l_{1}}{l_{2}}}\,z\,\left({\frac {1}{1+{\frac {z}{\,sl_{2}\,}}}}\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/a59e6d0e1fdbb1f2b7b837cc4131796224307061 height: height attribute not set width: width attribute not set description: {\displaystyle |sl_{2}|\gg |z|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/25ec362576d9b6f10d097943ad5b9c1c3d57af8f height: height attribute not set width: width attribute not set description: {\displaystyle z_{\text{in}}\approx {l_{1} \over l_{2}}z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0924068d74a729a19cc3a7d01a6648bf98786cfc height: height attribute not set width: width attribute not set description: {\displaystyle a_{\text{i}}\approx {\sqrt {l_{1} \over l_{2}}}={1 \over a_{\text{v}}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/9/96/mutual_inductance_pi_equivalent_circuit.svg/220px-mutual_inductance_pi_equivalent_circuit.svg.png height: 99 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/830b938e7494cb52b5217261f2a422fb386dc24e height: height attribute not set width: width attribute not set description: {\displaystyle l_{\text{s}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e91743414ca69036ee8bce4ae012c94b1224b165 height: height attribute not set width: width attribute not set description: {\displaystyle l_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4739bf3c70b2d1403383f6f5d774cbda23a101d4 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}l_{s_{ij}}&={\frac {\det(\mathbf {k} )}{-\mathbf {c} _{ij}}}\\[3pt]l_{p_{i}}&={\frac {\det(\mathbf {k} )}{\sum _{j=1}^{n}\mathbf {c} _{ij}}}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1d8dfe3154eb0c32823d5b2e332d1f0c0c6d96e8 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {k} ={\begin{bmatrix}1&k_{12}&\cdots &k_{1n}\\k_{12}&1&\cdots &k_{2n}\\\vdots &\vdots &\ddots &\vdots \\k_{1n}&k_{2n}&\cdots &1\end{bmatrix}}\quad } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bfab064904caa30b301e7c51fe78531ffe3664d0 height: height attribute not set width: width attribute not set description: {\displaystyle \quad \mathbf {c} _{ij}=(-1)^{i+j}\,\mathbf {m} _{ij}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/991de47da49506114e819ff8a3a7fb2e088bba9c height: height attribute not set width: width attribute not set description: {\displaystyle l_{s_{12}}={\frac {-k_{12}^{2}+1}{k_{12}}}\quad } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1beaed55431212bb217a912e176d3869a19ee3e2 height: height attribute not set width: width attribute not set description: {\displaystyle \quad l_{p_{1}}=l_{p_{2}}\!=\!k_{12}+1,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cae1573cbe6d687927dfe668ccb292316b81207b height: height attribute not set width: width attribute not set description: {\displaystyle l_{\text{s12}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9bdb7139534b2fdd56763446e8deccf68b0f3a90 height: height attribute not set width: width attribute not set description: {\displaystyle l_{\text{p1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b5c3712d150fbbaf57cb11948bb73a570bad7d91 height: height attribute not set width: width attribute not set description: {\displaystyle l_{s_{12}}={\frac {2\,k_{12}\,k_{13}\,k_{23}-k_{12}^{2}-k_{13}^{2}-k_{23}^{2}+1}{k_{13}\,k_{23}-k_{12}}}\quad } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c988ab1657f6df72813dc35181e6f5d25505bd83 height: height attribute not set width: width attribute not set description: {\displaystyle \quad l_{p_{1}}={\frac {2\,k_{12}\,k_{13}\,k_{23}-k_{12}^{2}-k_{13}^{2}-k_{23}^{2}+1}{k_{12}\,k_{23}+k_{13}\,k_{23}-k_{23}^{2}-k_{12}-k_{13}+1}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/34b285fed80d10e867369a24335dc253a551f0cc height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{s}}={\frac {n_{\text{s}}}{n_{\text{p}}}}v_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0622261e59ddd90ea5a01382cc5e12f756a45af2 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{s}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5b8b88f27718ebfa5b89eaaaf77c8a76e936972 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2eb67e0e9343fa1189fb928aac21766cd2272640 height: height attribute not set width: width attribute not set description: {\displaystyle n_{\text{s}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ac247dc3071bb02df0785652cbb1f480443fd9d height: height attribute not set width: width attribute not set description: {\displaystyle n_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d9dac1da5604f68adecbb04cf80ab4202b30c9b height: height attribute not set width: width attribute not set description: {\displaystyle i_{\text{s}}={\frac {n_{\text{p}}}{n_{\text{s}}}}i_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fa3ff2abfa47d060d611fe21c62e4f11111c6bc3 height: height attribute not set width: width attribute not set description: {\displaystyle i_{\text{s}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/061405f5fd9458cf15816b4f236ffa7d43a8889b height: height attribute not set width: width attribute not set description: {\displaystyle i_{\text{p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc 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/11bed0cff7a4d1888c8da0ed5a65e3ea53f7b1ea height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\frac {n^{2}d^{2}}{18d+40\ell }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8b18be209a05ffc50dcbf70f61d4c19a54189d5e height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\frac {n^{2}d^{2}}{45.72d+101.6\ell }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b42b9d7bf7ead9cf841f7a9540540f8b9359227e height: height attribute not set width: width attribute not set description: {\displaystyle \ell >0.4\,d~.} |
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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/f34a0c600395e5d4345287e21fb26efd386990e6 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/245b0c425ebcdb65224a6d0c0fb7cb882d545536 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\frac {\mu _{0}}{2\pi }}\ell \ln \left({\frac {b}{a}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3 height: height attribute not set width: width attribute not set description: {\displaystyle b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/275873f317db17a666dc61f9d7890f7822266d6d height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}=\mu _{0}\ r\ \left[\ln \left({\frac {8r}{a}}\right)-2+{\tfrac {1}{4}}y+{\mathcal {o}}\left({\frac {a^{2}}{r^{2}}}\right)\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/96b03a00a0db3c247e5feaaa861b82cb93f8c6ae height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{0},y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/657fa5b4fe9cb240b275e22390f6f4d6df4c5f3b height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}{\mathcal {l}}={\frac {\mu _{0}}{\pi }}\ {\biggl [}\ &\ell _{1}\ln \left({\frac {2\ell _{1}}{a}}\right)+\ell _{2}\ \ln \left({\frac {2\ell _{2}}{a}}\right)+2{\sqrt {\ell _{1}^{2}+\ell _{2}^{2}\ }}\\&-\ell _{1}\ \sinh ^{-1}\left({\frac {\ell _{1}}{\ell _{2}}}\right)-\ell _{2}\sinh ^{-1}\left({\frac {\ell _{2}}{\ell _{1}}}\right)\\&-\left(2-{\tfrac {1}{4}}y\ \right)\left(\ell _{1}+\ell _{2}\right)\ {\biggr ]}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8c60295fa6a18a3bffa55120ba741b04726bc5e2 height: height attribute not set width: width attribute not set description: {\displaystyle \ell _{1},\ell _{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/303af9b7ddf16a272419bb539bfba94d93a70300 height: height attribute not set width: width attribute not set description: {\displaystyle \ \ell _{1}\gg a,\ell _{2}\gg a\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/89810637f022906cff6123b58e8ed787ec045386 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {l}}={\frac {\ \mu _{0}}{\pi }}\ \ell \ \left[\ln \left({\frac {s}{a}}\right)+{\tfrac {1}{4}}y\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ec6bf78f482942eff11ff9435ab23c5a9086f4ef height: height attribute not set width: width attribute not set description: {\displaystyle s\geq 2a} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/36bef7cfc428f7697516b1abb2ef1835d7b72ff5 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}{\mathcal {l}}&={\frac {\mu _{0}}{\pi }}\ \ell \ \cosh ^{-1}\left({\frac {s}{2a}}\right)\\&={\frac {\mu _{0}}{\pi }}\ \ell \ \ln \left({\frac {s}{2a}}+{\sqrt {{\frac {s^{2}}{4a^{2}}}-1}}\right)\\&\approx {\frac {\mu _{0}}{\pi }}\ \ell \ \ln \left({\frac {s}{a}}\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/961d67d6b454b4df2301ac571808a3538b3a6d3f height: height attribute not set width: width attribute not set description: {\displaystyle y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56cd853e6606465d2259975da9d0a0bb08f612af height: height attribute not set width: width attribute not set description: {\displaystyle y=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/867ae2de7c84119e258e68ca484e01e03b00bd73 height: height attribute not set width: width attribute not set description: {\displaystyle y=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b4e3bd13ed4b1dd3804d075a056771f5d89edcb height: height attribute not set width: width attribute not set description: {\displaystyle y\approx {\frac {1}{\,1+a\ {\sqrt {{\tfrac {1}{8}}\mu \sigma \omega \,}}\,}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/829fcb31bf2740285ffdbfca1b0593495560dd44 height: height attribute not set width: width attribute not set description: {\displaystyle \mu =\mu _{0}\,\mu _{\text{r}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/950828b454a9ba398992fb5ae9bdcbe1590e448e height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {o}}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b98f02b1113ec67d664bc372ae913bf5fd04ef2 height: height attribute not set width: width attribute not set description: {\displaystyle {}+{\mathcal {o}}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e5570746c9ec668c1cf1416c8886c0e117b9990 height: height attribute not set width: width attribute not set description: {\displaystyle \ \int {\frac {1}{x}}\ \mathrm {d} x=\ln(x)\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5a8556b578a27826cd12ceff8f58bb323c843b2 height: height attribute not set width: width attribute not set description: {\displaystyle \ x>0\ } |
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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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