ru.wikipedia.org website review
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ru.wikipedia.org is 50% geoptimaliseerd!
SEO Keyword summary for ru.wikipedia.org/wiki/%d0%a0%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5_%d0%9a%d1%83%d0%bb%d1%8c%d0%b1%d0%b0%d0%ba%d0%b0_%e2%80%94_%d0%9b%d0%b5%d0%b9%d0%b1%d0%bb%d0%b5%d1%80%d0%b0
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 mid dkl |
long Tail Keywords (2 words) pdisplaystyle p qdisplaystyle q dmathrm kl p qdisplaystyle q pdisplaystyle |
long Tail Keywords (3 words) p qdisplaystyle q pdisplaystyle p qdisplaystyle q pdisplaystyle p qdisplaystyle q pdisplaystyle dmathrm kl pparallel p pdisplaystyle p pdisplaystyle p pdisplaystyle |
ru.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a ru.wikipedia.org/wiki/%d0%a0%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5_%d0%9a%d1%83%d0%bb%d1%8c%d0%b1%d0%b0%d0%ba%d0%b0_%e2%80%94_%d0%9b%d0%b5%d0%b9%d0%b1%d0%bb%d0%b5%d1%80%d0%b0 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
mdash
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
No headings were found !
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
displaystyle dmathrm pparallel pfrac dprm dmu qfrac dqrm qint xplog frac pqrm qneq qparallel hpmid dklpparallel qsum limits npilog piqi rightarrow lim xto xlogx xpxlog pxqxrm xsubseteq xlog leftfrac dqrightfrac xisubset qxi textstyle beginmatrixdmathrm qxsum pxhpqhpendmatrix hpq qgeq iff xsubset pxdxpydy qxdxqydy xaxbpxlog pxqxrightdxint yaybpylog pydydxqydydxrightdyint pyqyrightdy yayxa ybyxb pxdx pxyp qxyq qdmathrm parallel sigma dtextklmathcal mathcal over leftmathrm leftsigma rightleftmu righttop kln leftdet det rightright cdots nrightarrow infty pnparallel pnxrightarrow mathrm prightarrow theta pptheta qptheta ptheta delta jpjtheta jtheta pjtheta partial ppartial jrighttheta dklptheta jdelta kgjktheta gjktheta imparallel beginalignedixydmathrm pxyparallel pxpyoperatorname xdmathrm pymid xparallel pyoperatorname ydmathrm pxmid yparallel pxendaligned pxpy pxy beginalignedmathrm xoperatorname operatorname xxlogndtextklpxparallel puxendaligned pux xmid ylogndtextklpxyparallel puxpylogndtextklpxyparallel pxpydtextklpxparallel puxmathrm xylognoperatorname ybigl dtextklpxmid puxbigr endaligned hpqoperatorname plog qhpdmathrm yifrac xipxmid ipymid hbig pcdot mid yibig sum xpxmid yilog ibig big yimid yipxmid ilog ipxmid leq iparallel neq igdmathrm phmid dklfparallel pxa qxmid aua auaparallel pxaoperatorname uadmathrm aparallel admathrm uaparallel dklqxmid apxmid hpmhpdmathrm dotsc fxtheta xin hat fxfrac nsum nmathbf xxi arg underset min dklhat fxfxtheta max int xhat fxln dxoperatorname fxitheta wikimedia foundation powered mediawiki
Mobile SEO ru.wikipedia.org/wiki/%d0%a0%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5_%d0%9a%d1%83%d0%bb%d1%8c%d0%b1%d0%b0%d0%ba%d0%b0_%e2%80%94_%d0%9b%d0%b5%d0%b9%d0%b1%d0%bb%d0%b5%d1%80%d0%b0
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for ru.wikipedia.org/wiki/%d0%a0%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5_%d0%9a%d1%83%d0%bb%d1%8c%d0%b1%d0%b0%d0%ba%d0%b0_%e2%80%94_%d0%9b%d0%b5%d0%b9%d0%b1%d0%bb%d0%b5%d1%80%d0%b0
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
The title is trucated
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
No contextual keywords 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
creativecommons.org creative commons cc bysa
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ru.m.wikipedia.org |
w httpsruwikipediaorgwindexphptitleoldid139890726
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wiki |
wikimediafoundation.org wikimedia foundation inc
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Links to external pages
Outloing links
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
www.archive.org
web.archive.org
www.archive.org
www.wikidata.org
ar.wikipedia.org
ca.wikipedia.org
cs.wikipedia.org
de.wikipedia.org
el.wikipedia.org
es.wikipedia.org
fa.wikipedia.org
he.wikipedia.org
ja.wikipedia.org
ko.wikipedia.org
pt.wikipedia.org
th.wikipedia.org
uk.wikipedia.org
vi.wikipedia.org
zh.wikipedia.org
zh-yue.wikipedia.org
www.wikidata.org
foundation.wikimedia.org
developer.wikimedia.org
foundation.wikimedia.org
www.wikimediafoundation.org
SEO Advice for ru.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 | 0% | A title should reflect the contents of a site. This site has a 0 % match | |
Title Length | 70% | Limit your title to anywhere between 40 and 70 characters. Your title was 90 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 | 70% | 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 141 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 5 level 1 folders and 8 folders above or in the first level of navigation. | |
Headings | 0% | Headers should reflect the contents of a site. This site has a 0 % match | |
Links | 24% | Link anchors should to some degree reflect the contents of a site. This site has a 12 % match | |
Image alt tags | 34% | Image alt tags should to some degree reflect the contents of a site. This site has a 12 % match | |
Bold and italic | 36% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 12 % 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 | 99% | 99.21875 % 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 2591 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 85.11% 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 | 20% | There are no 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 519 inline style declarations ( <a style="color:green">) with a size of 18380 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 (4) 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 ! |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
ru.wikipedia.org images and descriptions
130 images found at ru.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.
https://upload.wikimedia.org/wikipedia/commons/thumb/2/23/binaryerasurechannel.png/100px-binaryerasurechannel.png height: 92 width: 100 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed height: height attribute not set width: width attribute not set description: {\displaystyle q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a height: height attribute not set width: width attribute not set description: {\displaystyle p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/016b4c890cbd50b71f7a17a6e489c2ceb4f5b0c6 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161 height: height attribute not set width: width attribute not set description: {\displaystyle \mu } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab 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/63c9091904e9d0fff092d5ba59391e43cc0d6ec0 height: height attribute not set width: width attribute not set description: {\displaystyle p={\frac {{\rm {d}}p}{{\rm {d}}\mu }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fea22b291a45ff997a5bf860cee34e5ad8270f5f height: height attribute not set width: width attribute not set description: {\displaystyle q={\frac {{\rm {d}}q}{{\rm {d}}\mu }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2756438544495e510c683baae24f3594e067b840 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)=\int _{x}p\,\log {\frac {p}{q}}\,{\rm {d}}\mu } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/25fb4c30d89ec311545d5ba0e062585cf9c2c9cf height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)\neq d_{\mathrm {kl} }(q\parallel p)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/16d3afafa5f32b8cd237119f579e191962ac9b76 height: height attribute not set width: width attribute not set description: {\displaystyle h(p\mid q)} |
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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/33c906006d7bf7fd00bba0e2c11202d8967192dd height: height attribute not set width: width attribute not set description: {\displaystyle d_{kl}(p\parallel q)=\sum \limits _{i=1}^{n}p_{i}\log {\frac {p_{i}}{q_{i}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36 height: height attribute not set width: width attribute not set description: {\displaystyle p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/06809d64fa7c817ffc7e323f85997f783dbdf71d height: height attribute not set width: width attribute not set description: {\displaystyle q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/827525ee016ebe7c10841d88c29d571c3d301169 height: height attribute not set width: width attribute not set description: {\displaystyle q_{i}=0\rightarrow p_{i}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d127f409797d26e216ecc405a9a15d914801ef74 height: height attribute not set width: width attribute not set description: {\displaystyle i=1,...,n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c133bcdae2383393aa80cd103e8b8061d35284e3 height: height attribute not set width: width attribute not set description: {\displaystyle p_{i}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20 height: height attribute not set width: width attribute not set description: {\displaystyle i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/233d29b11bd0515cfc9d2ab4df627d1b491ba6db height: height attribute not set width: width attribute not set description: {\displaystyle \lim _{x\to 0}x\log(x)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40 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/cb9398cbb98265956d911a2db6602e507fcfff93 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)=\int _{x}\,p(x)\log {\frac {p(x)}{q(x)}}\,{\rm {d}}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8cb7afced134ef75572e5314a5d278c2d644f438 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c38bbafe34a043d284f19231b946a76c0a4b16b4 height: height attribute not set width: width attribute not set description: {\displaystyle q(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/becf673baac19d454ceb2fe1a026decfeafe634f height: height attribute not set width: width attribute not set description: {\displaystyle x\subseteq r^{k}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4654191a375f1c1e978166715efc418d9d71b034 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)=\int _{x}\log {\frac {{\rm {d}}p}{{\rm {d}}q}}\,{\rm {d}}p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c99234a3690ee3ce9c2598d4131e75ead9f915f3 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {{\rm {d}}p}{{\rm {d}}q}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/50a09696898085c7de0b781914a785bd704cc718 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)=\int _{x}\log \!\left({\frac {{\rm {d}}p}{{\rm {d}}q}}\right){\frac {{\rm {d}}p}{{\rm {d}}q}}\,{\rm {d}}q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b55599e5ad13c784d57cba91426e6df1fc65bd47 height: height attribute not set width: width attribute not set description: {\displaystyle x_{i}\subset x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f59a21685f0ee1c928ab7a01134814b97ca8351d height: height attribute not set width: width attribute not set description: {\displaystyle q(x_{i})=2^{-i_{i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d896cad5ad71ce7719175ca29d4d109333d4c320 height: height attribute not set width: width attribute not set description: {\displaystyle i_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e87000dd6142b81d041896a30fe58f0c3acb2158 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/f290ba2145180cbbe08d210f67ed432b9aefe3ae height: height attribute not set width: width attribute not set description: {\textstyle {\begin{matrix}d_{\mathrm {kl} }(p\parallel q)=-\sum _{x}p(x)\log q(x)+\sum _{x}p(x)\log p(x)=h(p,q)-h(p)\,\!\end{matrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7a283037a6131d7bd4eb8e210e45032a609d0781 height: height attribute not set width: width attribute not set description: {\displaystyle h(p,q)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/22aa96351d3d7835aa94cf4ffb4988b0cc7d6f2f height: height attribute not set width: width attribute not set description: {\displaystyle h(p)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/caa09698f8c9b3b88596644863ffa312d0d276ad height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)\geq 0,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e7394b466c50ede6031af7600766926e18a7a75b height: height attribute not set width: width attribute not set description: {\displaystyle d_{kl}(p\parallel q)=0\iff p=q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2f304eddfdf48d1616e6ad8cd530e49c105da284 height: height attribute not set width: width attribute not set description: {\displaystyle x\subset 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/e871993bfd131a8b0c3591c26084cf8171a74dcd height: height attribute not set width: width attribute not set description: {\displaystyle y(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dea5db5ebec10c606f582a43eca4cbfbe6fa22f5 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)dx=p(y)dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dd6d8e2784883d3be55ae3e9cd610ea520442932 height: height attribute not set width: width attribute not set description: {\displaystyle q(x)dx=q(y)dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e9e69aba5263c5963be9d465135184e8f628e55 height: height attribute not set width: width attribute not set description: {\textstyle d_{\mathrm {kl} }(p\parallel q)=\int _{x_{a}}^{x_{b}}p(x)\log \left({\frac {p(x)}{q(x)}}\right)\,dx=\int _{y_{a}}^{y_{b}}p(y)\log \left({\frac {p(y)dy/dx}{q(y)dy/dx}}\right)\,dy=\int _{y_{a}}^{y_{b}}p(y)\log \left({\frac {p(y)}{q(y)}}\right)\,dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7840d3605c02be788a77333cee91dbf130b1b4ad height: height attribute not set width: width attribute not set description: {\displaystyle y_{a}=y(x_{a})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bb98d1f1ad2babf41b276ff053244930ed3c1e83 height: height attribute not set width: width attribute not set description: {\displaystyle y_{b}=y(x_{b})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/89833156eff2c51bfb8750db3306a0544ce34e14 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bde0d39b408d6f794d58388248774df9f4d96528 height: height attribute not set width: width attribute not set description: {\displaystyle q(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b1362b68e62fa69336027a14ee28a6278d6d6d75 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3bfdd9dc3e5cdd53ae8ee830e73cc482c834e713 height: height attribute not set width: width attribute not set description: {\displaystyle p_{1},p_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/faaf79f10713307fa3bcf869ae072539de69f2a0 height: height attribute not set width: width attribute not set description: {\displaystyle p(x,y)=p_{1}(x)p_{2}(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0fdc1e7271041e0107907d9d8fee78a0674d468 height: height attribute not set width: width attribute not set description: {\displaystyle q(x,y)=q_{1}(x)q_{2}(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/00e06aa9eb79b4e77f6e389bbba881c8ea829ea1 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p\parallel q)=d_{\mathrm {kl} }(p_{1}\parallel q_{1})+d_{\mathrm {kl} }(p_{2}\parallel q_{2}).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fb5c6a6422d5ca155808302b46e2233d5b028b34 height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{0},\mu _{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e7729961ead52abb59f9798f2d88bdb3cc9bced height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{0},\sigma _{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cee9f17c148622d28ddd6d86b4dbe496bf060c18 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\text{kl}}({\mathcal {n}}_{0}\parallel {\mathcal {n}}_{1})={1 \over 2}\left(\mathrm {tr} \left(\sigma _{1}^{-1}\sigma _{0}\right)+\left(\mu _{1}-\mu _{0}\right)^{\top }\sigma _{1}^{-1}(\mu _{1}-\mu _{0})-k+\ln \left({\det \sigma _{1} \over \det \sigma _{0}}\right)\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b6a7db3082d9222f3a2fe0d9cd506852a9bac47d height: height attribute not set width: width attribute not set description: {\displaystyle \{p_{1},p_{2},\cdots \}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ca96b3db05a6c1c65c4f34267308f85cd2ea4ab height: height attribute not set width: width attribute not set description: {\displaystyle \lim _{n\rightarrow \infty }d_{\mathrm {kl} }(p_{n}\parallel q)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c1a95505132594d85f9e21b5eb2d9ff7cc1b5fb7 height: height attribute not set width: width attribute not set description: {\displaystyle p_{n}{\xrightarrow {d}}q} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a4d7a44a6bf8d9d26fb29fa3302d426ac8dda2e6 height: height attribute not set width: width attribute not set description: {\displaystyle p_{n}{\xrightarrow {\mathrm {d} }}p\rightarrow p_{n}{\xrightarrow {\mathrm {tv} }}p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83a5542468bf4a5ad9dee3d0f3ad02047a73da01 height: height attribute not set width: width attribute not set description: {\displaystyle p=p(\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/41b4e23cf75300ef3c256ed00c99f4c6ac348c20 height: height attribute not set width: width attribute not set description: {\displaystyle q=p(\theta _{0})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/18b67de6bf25dba7a24e66967ff6319858798734 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/595b5b9f71506f70a658246af0425181f97b84f0 height: height attribute not set width: width attribute not set description: {\displaystyle p(\theta )=p(\theta _{0})+\delta \theta ^{j}p_{j}(\theta _{0})+\cdots } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b06163f1b8d5176edb0361edb89a47b297f5b0e height: height attribute not set width: width attribute not set description: {\displaystyle \delta \theta ^{j}=(\theta -\theta _{0})^{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/619744fc811e10d87880574ee04ea4058df6ee8d height: height attribute not set width: width attribute not set description: {\displaystyle p_{j}(\theta _{0})={\frac {\partial p}{\partial \theta ^{j}}}(\theta _{0})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6092e68904d0c31801bee667fd2b3ebd40d6e5e4 height: height attribute not set width: width attribute not set description: {\displaystyle \theta =\theta _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/881d2e2dfec6e3eeb73914bc3ca618c4f5d807a6 height: height attribute not set width: width attribute not set description: {\displaystyle \delta \theta ^{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e1a5f823df8b787a5518d389172fb1df78d676e8 height: height attribute not set width: width attribute not set description: {\displaystyle \left.{\frac {\partial }{\partial \theta ^{j}}}\right|_{\theta =\theta _{0}}d_{kl}(p(\theta )\parallel p(\theta _{0}))=0,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c97f09d3b8b4969ee9f49ab781e0e4856c317ba4 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p(\theta )\parallel p(\theta _{0}))={\frac {1}{2}}\delta \theta ^{j}\delta \theta ^{k}g_{jk}(\theta _{0})+\cdots } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2fcb737db9ee0c60db3b36b5f81a67083ceb0817 height: height attribute not set width: width attribute not set description: {\displaystyle g_{jk}(\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6578b1ba856914cb6c842294dccf90b1a3feb451 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(\delta _{im}\parallel \{p_{i}\})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d3f0c5cc0e8d31d705f7e08298daab4cb7da1662 height: height attribute not set width: width attribute not set description: {\displaystyle p(i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4718f08ffcf5718164ddc37f4a382d04effe1014 height: height attribute not set width: width attribute not set description: {\displaystyle i=m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/310ffea94a59f7eb6060af0787d6537153abd6db height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}i(x;y)&=d_{\mathrm {kl} }(p(x,y)\parallel p(x)p(y))\\&=\operatorname {e} _{x}\{d_{\mathrm {kl} }(p(y\mid x)\parallel p(y))\}\\&=\operatorname {e} _{y}\{d_{\mathrm {kl} }(p(x\mid y)\parallel p(x))\}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a9745af60e7bfa5af3d668aeb46eab0582491fe3 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)p(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a6fd347c3c83e69250fe5a6c3648fed056ff8f68 height: height attribute not set width: width attribute not set description: {\displaystyle p(x,y)} |
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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/2ff5830f1edb031193fb99ff71fb0154d68cc0e1 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathrm {h} (x)&=\operatorname {e} [\operatorname {i} _{x}(x)]\\&=\log(n)-d_{\text{kl}}(p(x)\parallel p_{u}(x))\end{aligned}}} |
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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/d08085e4447acd3d0e19ca4ac57058ff75bd38be height: height attribute not set width: width attribute not set description: {\displaystyle p_{u}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bf94167ebc67db1573e6be9e261cd0518e49e160 height: height attribute not set width: width attribute not set description: {\displaystyle p(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/939542ac66c0bff6d4d8f741c04abb22438b341f height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\mathrm {h} (x\mid y)&=\log(n)-d_{\text{kl}}(p(x,y)\parallel p_{u}(x)p(y))\\&=\log(n)-d_{\text{kl}}(p(x,y)\parallel p(x)p(y))-d_{\text{kl}}(p(x)\parallel p_{u}(x))\\&=\mathrm {h} (x)-\operatorname {i} (x;y)\\&=\log(n)-\operatorname {e} _{y}{\bigl [}d_{\text{kl}}(p(x\mid y)\parallel p_{u}(x)){\bigr ]}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5490beac8cc9e21ff85a467841aa727ce1c86cb6 height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d8e496207ad8e136b1d8dc7946a19536fe84c255 height: height attribute not set width: width attribute not set description: {\displaystyle h(p,q)=\operatorname {e} _{p}[-\log q]=h(p)+d_{\mathrm {kl} }(p\parallel q).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/678864c5e9a7ce08acfc22d0d7f726d2cade5b45 height: height attribute not set width: width attribute not set description: {\displaystyle y=y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ed634d96ca7387739783ba12b2a60f53420075b3 height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dbb94d46086c0f668f208447d1094b3be4c57f4d height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid y,i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ecef80266b5cc131920dcdfbcda1b4f5dedaf362 height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid y,i)={\frac {p(y\mid x,i)p(x\mid i)}{p(y\mid i)}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cf216a41b4ef473d344123be656b89777be02b56 height: height attribute not set width: width attribute not set description: {\displaystyle h{\big (}p(\cdot \mid y,i){\big )}=-\sum _{x}p(x\mid y,i)\log p(x\mid y,i),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/da8e99f30a553e96cd28b2e8a741e92abbeeb778 height: height attribute not set width: width attribute not set description: {\displaystyle h{\big (}p(\cdot \mid i){\big )}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/889b573c5378f01f6811c85e8667a26bc45e0f07 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }{\big (}p(\cdot \mid y,i)\mid p(\cdot \mid i){\big )}=\sum _{x}p(x\mid y,i)\log {\frac {p(x\mid y,i)}{p(x\mid i)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/052adff6c0f6624b25f30b42c942007137d47faf height: height attribute not set width: width attribute not set description: {\displaystyle y_{2}=y_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56d4b0464ccdda0a8de69b81efc90371fe6432fc height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid y_{1},y_{2},i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6db097127a754553f560ee35afb78209b325174a height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid y_{1},i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5dac2e4e5ade5cf9586a78a96c727d6bae2edf8 height: height attribute not set width: width attribute not set description: {\displaystyle \sum _{x}p(x\mid y_{1},y_{2},i)\log {\frac {p(x\mid y_{1},y_{2},i)}{p(x\mid i)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/440568a09c3bfdf0e1278bfa79eb137c04e94035 height: height attribute not set width: width attribute not set description: {\displaystyle \leq } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b27b77ab4e3293ea9ce65cef60fea655c398423 height: height attribute not set width: width attribute not set description: {\displaystyle >} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9e0180b0db36b2813826723c4dc3dea68efe7f87 height: height attribute not set width: width attribute not set description: {\displaystyle \displaystyle \sum _{x}p(x\mid y_{1},i)\log {\frac {p(x\mid y_{1},i)}{p(x\mid i)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f71aa8ff3f3860e95ee76bcb826e8f238dd1b437 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }{\big (}p(\cdot \mid y_{1},y_{2},i)\parallel p(\cdot \mid i){\big )}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d61548c3d720a9e464819450f1682d86cf00bd06 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }{\big (}p(\cdot \mid y_{1},y_{2},i)\parallel p(\cdot \mid y_{1},i){\big )}+d_{\mathrm {kl} }{\big (}p(\cdot \mid y_{1},i)\parallel p(x\mid i){\big )}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d99961b15f4a711b0a733454ab8a7b5307a9131b height: height attribute not set width: width attribute not set description: {\displaystyle p(y_{2}\mid y_{1},x,i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/55c6c01e858611d852152c01812f440722f7242d height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p(x\mid h_{1})\parallel p(x\mid h_{0}))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d4d9a872a55b209f2eb7cc23a71e5e1541bd1f4 height: height attribute not set width: width attribute not set description: {\displaystyle h_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/43910602a221b7a4c373791f94793e3008622070 height: height attribute not set width: width attribute not set description: {\displaystyle h_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d83dd2227e2e920cf2195893a91f517de6b3be08 height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(p(x\mid h_{1})\parallel p(x\mid h_{0}))\neq ig=d_{\mathrm {kl} }(p(h\mid x)\parallel p(h\mid i)).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61 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/6423b30a4c5770c59b5ab92dcb4ce378755440ab height: height attribute not set width: width attribute not set description: {\displaystyle f_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f47e59d666176973c4a4181d835748d136c9531d height: height attribute not set width: width attribute not set description: {\displaystyle d_{kl}(f\parallel f_{0})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f99fe2c5da9eda4261abd3a3ba9e95a582258829 height: height attribute not set width: width attribute not set description: {\displaystyle p(x,a)} |
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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/f34d1cfcb353a646f89533529e4d97cd1cd72686 height: height attribute not set width: width attribute not set description: {\displaystyle u(a)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d46f0614827dab0040f75c8fe54904bb7f7d1ceb height: height attribute not set width: width attribute not set description: {\displaystyle q(x\mid a)u(a)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1bdfd6ecd7c30a446294227e89ba0fae2d97bdec height: height attribute not set width: width attribute not set description: {\displaystyle d_{\mathrm {kl} }(q(x\mid a)u(a)\parallel p(x,a))=\operatorname {e} _{u(a)}\{d_{\mathrm {kl} }(q(x\mid a)\parallel p(x\mid a))\}+d_{\mathrm {kl} }(u(a)\parallel p(a)),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c07e3f3507e18c9efcf41242ba875d747d4b878f height: height attribute not set width: width attribute not set description: {\displaystyle p(a)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6322773741893591649ace67e0dc831a98805c7f height: height attribute not set width: width attribute not set description: {\displaystyle p(x\mid a)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47766d531574a4724c55238aa1cac8512df9af43 height: height attribute not set width: width attribute not set description: {\displaystyle d_{kl}(q(x\mid a)\parallel p(x\mid a))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e8b3c003ea111edc7f55cdbc05c1a0bf2b2a75e0 height: height attribute not set width: width attribute not set description: {\displaystyle q(x\mid a)=p(x\mid a)} |
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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/85893738dd7f350e093e24744584e36c4413bfc3 height: height attribute not set width: width attribute not set description: {\displaystyle h(p,m)=h(p)+d_{\mathrm {kl} }(p\parallel m),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/01eb8b5d0437fc3d5b2e1da4b88a59ad14fd6811 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1},x_{2},\dotsc ,x_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e3b8aafdf0be69fcd09cdb756b9c5aa2fd8c777 height: height attribute not set width: width attribute not set description: {\displaystyle f(x,\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/299c69c4eeaebc6fc1dfdf416093131c5cd07b3e height: height attribute not set width: width attribute not set description: {\displaystyle x\in x\subseteq r} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aec62cac68268782a68350948acd968db179fca2 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {f}}(x)={\frac {1}{n}}\sum \limits _{i=1}^{n}\mathbf {\delta } (x-x_{i})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c5321cfa797202b3e1f8620663ff43c4660ea03a height: height attribute not set width: width attribute not set description: {\displaystyle \delta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d6534bfaa283d259fb2ff9d1cdea3ff36ac5d4d4 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\theta }}=\operatorname {arg} {\underset {\theta }{\operatorname {min} }}d_{kl}({\hat {f}}(x),f(x,\theta ))=\operatorname {arg} {\underset {\theta }{\operatorname {max} }}\int \limits _{x}^{}{\hat {f}}(x)\ln f(x,\theta )\,dx=\operatorname {arg} {\underset {\theta }{\operatorname {max} }}\sum \limits _{i=1}^{n}\mathbf {\ln } f(x_{i},\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f0eaae56d74c5844e86caeed8ae205ff9e413bba height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\theta }}} |
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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://ru.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
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http://ru.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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