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SEO Keyword summary for en.wikipedia.org/wiki/covariance
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
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Short Tail Keywords displaystyle operatorname mathbf |
long Tail Keywords (2 words) random variables xdisplaystyle x ydisplaystyle y operatorname cov two random |
long Tail Keywords (3 words) two random variables x and ydisplaystyle cov xyoperatorname cov move to sidebar cov xxoperatorname var xydisplaystyle sigma xy operatorname cov xyfrac |
en.wikipedia.org On-Page SEO Scan
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covariance wikipedia
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wikipedia free encyclopedia displaystyle operatorname cov xyoperatorname big xoperatorname ybig sigma beginalignedoperatorname leftleftxoperatorname leftxrightrightleftyoperatorname leftyrightrightrightoperatorname leftxyxoperatorname leftyrightoperatorname leftxrightyoperatorname leftxrightoperatorname leftyrightrightoperatorname leftxyrightoperatorname leftyrightendaligned zwoperatorname leftzoperatorname zoverline woperatorname wrightoperatorname leftzoverline zoperatorname leftoverline wright xiyi ldots xyfrac nsum nxiexyiey sum nfrac xixjyiyjfrac isum jixixjyiyj xysum npixiexyiey pij pxxiyyj npijxiexyjey abc beginalignedxqabyracoperatorname xyqroperatorname var aendaligned fxy xyin sleft right fyy fxx xysigma sfxyleftxmu xrightleftymu yright endaligned xxoperatorname xequiv abcd yxoperatorname axbyaboperatorname xayboperatorname axbycwdvacoperatorname xwadoperatorname xvbcoperatorname ywbdoperatorname yvendaligned leftsum naixirightsum nai ijijaiajoperatorname xixjsum ijaiajoperatorname xixj xyint mathbb int leftfxyxyfxxfyyrightdxdy fxyxy fxxfyy xcdot leftxx rightoperatorname leftxcdot leftx cdot xex yey xyz axbyzaoperatorname xzboperatorname xxgeq leftoperatorname xyrightleq sqrt xsigma zxfrac beginaligned leq leftxfrac yyxfrac yyright ptsigma xfrac yendaligned ktimes textstyle overline mathbf leftqjkright qjkfrac nleftxijbar xjrightleftxikbar xkright bar nleftxijoperatorname leftxjrightrightleftxikoperatorname leftxkrightright beginbmatrixx dots xmendbmatrixmathrm leftmathbf mathrm axa axx rightmathbf rightrightmathbf mtimes xiyj langle rangle times xyh leftlangle hmathbf dagger righth xyapprox leftyright leftxyright icon wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/covariance
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cov found in path !
covariance found in path !
variance found in path !
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covariance disambiguation
probability theory
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pearson productmoment
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en.wikipedia.org images and descriptions
124 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/bec7d6ae543e2a9298682d8b4ccb646991f4379f height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{y}=8(0.4+0.1)+9(0.3+0.2)=8.5} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8a80fa4db641ca7ddd6f7a3fee8620eed15321a7 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {cov} (x,y)={}&\sigma _{xy}=\sum _{(x,y)\in s}f(x,y)\left(x-\mu _{x}\right)\left(y-\mu _{y}\right)\\[4pt]={}&(0)(5-6)(8-8.5)+(0.4)(6-6)(8-8.5)+(0.1)(7-6)(8-8.5)+{}\\[4pt]&(0.3)(5-6)(9-8.5)+(0)(6-6)(9-8.5)+(0.2)(7-6)(9-8.5)\\[4pt]={}&{-0.1}\;.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c873864ae93a4914ef569c713e91081a739ea67f height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x,x)=\operatorname {var} (x)\equiv \sigma ^{2}(x)\equiv \sigma _{x}^{2}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/54a9c4c547f4d6111f81946cad242b18298d70b7 height: height attribute not set width: width attribute not set description: {\displaystyle w} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845 height: height attribute not set width: width attribute not set description: {\displaystyle v} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bd0b3d3b09ae6ae430f09c4b317742c56e8acace height: height attribute not set width: width attribute not set description: {\displaystyle a,b,c,d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/584bd965613df2b62869bcc0613bc27960b02f92 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {cov} (x,a)&=0\\\operatorname {cov} (x,x)&=\operatorname {var} (x)\\\operatorname {cov} (x,y)&=\operatorname {cov} (y,x)\\\operatorname {cov} (ax,by)&=ab\,\operatorname {cov} (x,y)\\\operatorname {cov} (x+a,y+b)&=\operatorname {cov} (x,y)\\\operatorname {cov} (ax+by,cw+dv)&=ac\,\operatorname {cov} (x,w)+ad\,\operatorname {cov} (x,v)+bc\,\operatorname {cov} (y,w)+bd\,\operatorname {cov} (y,v)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ac794f5521dcce89913085a6d566e7cdb615dbb0 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1},\ldots ,x_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/451345cc97e2ed923dd4656fcc400c3f37119cca height: height attribute not set width: width attribute not set description: {\displaystyle a_{1},\ldots ,a_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/28c23850e571feb79b4ebc1f726797cd70586b50 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {var} \left(\sum _{i=1}^{n}a_{i}x_{i}\right)=\sum _{i=1}^{n}a_{i}^{2}\sigma ^{2}(x_{i})+2\sum _{i,j\,:\,i |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b8705438171d938b7f59cd1bfa5b7d99b6afa5cd height: height attribute not set width: width attribute not set description: {\displaystyle x,y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0d056cae5cbf91462012144faf266e72d568ce4 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x,y)=\int _{\mathbb {r} }\int _{\mathbb {r} }\left(f_{(x,y)}(x,y)-f_{x}(x)f_{y}(y)\right)\,dx\,dy} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fef2d106b7c2d036f51c30f27df87d1fbb87600d height: height attribute not set width: width attribute not set description: {\displaystyle f_{(x,y)}(x,y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/032c16fda229a3cede5e4fc1fed7037a4b3cd8eb height: height attribute not set width: width attribute not set description: {\displaystyle f_{x}(x),f_{y}(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c0c2870ec57051083bd6262aa4069a2500dfda44 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} [xy]=\operatorname {e} [x]\cdot \operatorname {e} [y].} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/51e3b7f14a6f70e614728c583409a0b9a8b9de01 height: height attribute not set width: width attribute not set description: {\displaystyle [-1,1]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/164fd6721c56072e02ca8627ae6c18b1efa64e71 height: height attribute not set width: width attribute not set description: {\displaystyle y=x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/19b6f2d636d5ef9ba85b6350e49222109a28d665 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {cov} (x,y)&=\operatorname {cov} \left(x,x^{2}\right)\\&=\operatorname {e} \left[x\cdot x^{2}\right]-\operatorname {e} [x]\cdot \operatorname {e} \left[x^{2}\right]\\&=\operatorname {e} \left[x^{3}\right]-\operatorname {e} [x]\operatorname {e} \left[x^{2}\right]\\&=0-0\cdot \operatorname {e} [x^{2}]\\&=0.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/166d8f9cb60b8835b723e34645e1f0c52a1852a5 height: height attribute not set width: width attribute not set description: {\displaystyle x>e[x]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/02c197c6857af01266e2ed7c29485cad5a15118d height: height attribute not set width: width attribute not set description: {\displaystyle y>e[y]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3eef3a2a3d98417f1d7684c3a6e530909c1c7c73 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/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/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/0fda8fa66ff334d0d2f50171e681caeebe3e7ff8 height: height attribute not set width: width attribute not set description: {\displaystyle x,y,z,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ccd5e8fd22863b931a92cc99d32736ef76aa39e6 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (ax+by,z)=a\operatorname {cov} (x,z)+b\operatorname {cov} (y,z)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5323119a73379f9b60e72dc3a2fcb6aebedc77c3 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x,y)=\operatorname {cov} (y,x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/69880e0af2412e8ba90711f8aba9d7b301912974 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}(x)=\operatorname {cov} (x,x)\geq 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/361a3a3b3e2af9605993d17f5cfc946a60876b24 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x,x)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/040b05ddf8068f5a4367b711ac6321f713eb9a09 height: height attribute not set width: width attribute not set description: {\displaystyle \left|\operatorname {cov} (x,y)\right|\leq {\sqrt {\sigma ^{2}(x)\sigma ^{2}(y)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/45045ff76cae06b098283ecb6f3c0c1f1741836f height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}(y)=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7031f27ccabab33767f223c181c2392476f4058e height: height attribute not set width: width attribute not set description: {\displaystyle z=x-{\frac {\operatorname {cov} (x,y)}{\sigma ^{2}(y)}}y.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fc8741ab12cb5943efe9d8dbfeb455517bc63347 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}0\leq \sigma ^{2}(z)&=\operatorname {cov} \left(x-{\frac {\operatorname {cov} (x,y)}{\sigma ^{2}(y)}}y,\;x-{\frac {\operatorname {cov} (x,y)}{\sigma ^{2}(y)}}y\right)\\[12pt]&=\sigma ^{2}(x)-{\frac {(\operatorname {cov} (x,y))^{2}}{\sigma ^{2}(y)}}.\end{aligned}}} |
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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/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/482213ed727088a54983b10499b51dd0e320ba5a height: height attribute not set width: width attribute not set description: {\displaystyle k\times k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cb28ac928a2a379d039d27fb99d56dd21c1c027c height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle {\overline {\mathbf {q} }}=\left[q_{jk}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/61c41f7dd5d200b419a9cd94d8cb92bd47dbe08e height: height attribute not set width: width attribute not set description: {\displaystyle q_{jk}={\frac {1}{n-1}}\sum _{i=1}^{n}\left(x_{ij}-{\bar {x}}_{j}\right)\left(x_{ik}-{\bar {x}}_{k}\right),} |
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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/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/1b8c6feeb921a6d81808b98802b5caee9ba103a3 height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle \mathbf {x} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bbb1f40c15b859914df79aa8cd2b0400ca0079d6 height: height attribute not set width: width attribute not set description: {\displaystyle (j=1,\,\ldots ,\,k)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bef0e2648e1005450c267d7ceb0290f39760a70e height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle n-1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a01b816d7d3e71a63798ca1ec640fac754da49dc height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68878c1cca1f91eb92457636b91f0807fca1b5e0 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} (\mathbf {x} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a157a5a09e13f8db8c969a490d628172871f3d66 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\bar {x}} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29cd530139a5c10757615cbf80de88e415bbc322 height: height attribute not set width: width attribute not set description: {\displaystyle q_{jk}={\frac {1}{n}}\sum _{i=1}^{n}\left(x_{ij}-\operatorname {e} \left(x_{j}\right)\right)\left(x_{ik}-\operatorname {e} \left(x_{k}\right)\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fffa04eec7a82452dce377f995112d305bc171c1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} ={\begin{bmatrix}x_{1}&x_{2}&\dots &x_{m}\end{bmatrix}}^{\mathrm {t} }} |
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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/cb21993cd8d590b95b72253da97a999c89197624 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {k} _{\mathbf {x} \mathbf {x} }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7bde1aa996f0985226816cdacaa57d64d63c5b2 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma (\mathbf {x} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cb37bb8910eea8f2d1b09fcd471bdb11a6ee3a1a height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (\mathbf {x} ,\mathbf {x} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/15725714f72a46ffb0686bafdb209260b842ac39 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {k} _{\mathbf {xx} }=\operatorname {cov} (\mathbf {x} ,\mathbf {x} )&=\operatorname {e} \left[(\mathbf {x} -\operatorname {e} [\mathbf {x} ])(\mathbf {x} -\operatorname {e} [\mathbf {x} ])^{\mathrm {t} }\right]\\&=\operatorname {e} \left[\mathbf {xx} ^{\mathrm {t} }\right]-\operatorname {e} [\mathbf {x} ]\operatorname {e} [\mathbf {x} ]^{\mathrm {t} }.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9f75966a2f9d5672136fa9401ee1e75008f95ffd height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c1b2123c32a8acefc209a4f69d571ee1197a8c59 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {cov} (\mathbf {ax} ,\mathbf {ax} )&=\operatorname {e} \left[\mathbf {ax(a} \mathbf {x)} ^{\mathrm {t} }\right]-\operatorname {e} [\mathbf {ax} ]\operatorname {e} \left[(\mathbf {a} \mathbf {x} )^{\mathrm {t} }\right]\\&=\operatorname {e} \left[\mathbf {axx} ^{\mathrm {t} }\mathbf {a} ^{\mathrm {t} }\right]-\operatorname {e} [\mathbf {ax} ]\operatorname {e} \left[\mathbf {x} ^{\mathrm {t} }\mathbf {a} ^{\mathrm {t} }\right]\\&=\mathbf {a} \operatorname {e} \left[\mathbf {xx} ^{\mathrm {t} }\right]\mathbf {a} ^{\mathrm {t} }-\mathbf {a} \operatorname {e} [\mathbf {x} ]\operatorname {e} \left[\mathbf {x} ^{\mathrm {t} }\right]\mathbf {a} ^{\mathrm {t} }\\&=\mathbf {a} \left(\operatorname {e} \left[\mathbf {xx} ^{\mathrm {t} }\right]-\operatorname {e} [\mathbf {x} ]\operatorname {e} \left[\mathbf {x} ^{\mathrm {t} }\right]\right)\mathbf {a} ^{\mathrm {t} }\\&=\mathbf {a} \sigma \mathbf {a} ^{\mathrm {t} }.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c4e4234cc573d07d2bef6651be4310ed3a4ad70 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} \in \mathbb {r} ^{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7f15572286b8ec58815de011845b43a38811b07 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {y} \in \mathbb {r} ^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/12b23d207d23dd430b93320539abbb0bde84870d height: height attribute not set width: width attribute not set description: {\displaystyle m\times n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/99e6f5ef675f7bb826d04f206bd212d14632ab8c height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {k} _{\mathbf {x} \mathbf {y} }=\operatorname {cov} (\mathbf {x} ,\mathbf {y} )&=\operatorname {e} \left[(\mathbf {x} -\operatorname {e} [\mathbf {x} ])(\mathbf {y} -\operatorname {e} [\mathbf {y} ])^{\mathrm {t} }\right]\\&=\operatorname {e} \left[\mathbf {x} \mathbf {y} ^{\mathrm {t} }\right]-\operatorname {e} [\mathbf {x} ]\operatorname {e} [\mathbf {y} ]^{\mathrm {t} }\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6f37c0589e1295850330f355dfbe2b036153d494 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {y} ^{\mathrm {t} }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c92a7716a99fadda050469747fce1e475e0ec549 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {y} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ef21910f980c6fca2b15bee102a7a0d861ed712 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/c0b4323139726517f1ce7b3d7bb00c84efb7c655 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x_{i},y_{j})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a14a5b5fabbe0a22787e66468a853f3660eb415 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (\mathbf {y} ,\mathbf {x} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/795eae3359d274936bc2f254968bd90bf85eb7f8 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (\mathbf {x} ,\mathbf {y} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cdcdf7d1a275bc43b1bf4fef61eff8a2995f74b8 height: height attribute not set width: width attribute not set description: {\displaystyle h_{1}=(h_{1},\langle \,,\rangle _{1})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/46e6501d1cb7b1c03c7a9b1b177a8d818c15035f height: height attribute not set width: width attribute not set description: {\displaystyle h_{2}=(h_{2},\langle \,,\rangle _{2})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f9add4085095b9b6d28d045fd9c92c2c09f549a7 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {c} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/108cb2f86f5fd4d56e228cbf81888fb6af8c0174 height: height attribute not set width: width attribute not set description: {\displaystyle \langle \,,\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/da4857b334d668275153d9f064d3600d7d70ab3b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} ,\mathbf {y} } |
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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/7fa4324515cc7343ee952e3840a1bb1aa8c7f74c height: height attribute not set width: width attribute not set description: {\displaystyle h_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/44924a6e71fa8a26ae21a8ab0d2469603aeb4238 height: height attribute not set width: width attribute not set description: {\displaystyle h_{1}\times h_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a5e62db23468fadd6a7f877ed44ede2bfbc07365 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {k} _{x,y}(h_{1},h_{2})=\operatorname {cov} (\mathbf {x} ,\mathbf {y} )(h_{1},h_{2})&=\operatorname {e} \left[\langle h_{1},(\mathbf {x} -\operatorname {e} [\mathbf {x} ])\rangle _{1}\langle (\mathbf {y} -\operatorname {e} [\mathbf {y} ]),h_{2}\rangle _{2}\right]\\&=\operatorname {e} [\langle h_{1},\mathbf {x} \rangle _{1}\langle \mathbf {y} ,h_{2}\rangle _{2}]-\operatorname {e} [\langle h,\mathbf {x} \rangle _{1}]\operatorname {e} [\langle \mathbf {y} ,h_{2}\rangle _{2}]\\&=\langle h_{1},\operatorname {e} \left[(\mathbf {x} -\operatorname {e} [\mathbf {x} ])(\mathbf {y} -\operatorname {e} [\mathbf {y} ])^{\dagger }\right]h_{2}\rangle _{1}\\&=\langle h_{1},\left(\operatorname {e} [\mathbf {x} \mathbf {y} ^{\dagger }]-\operatorname {e} [\mathbf {x} ]\operatorname {e} [\mathbf {y} ]^{\dagger }\right)h_{2}\rangle _{1}\\\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5cc8091d0da21aa8f5a114797ba5113ddf534f69 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} [xy]\approx \operatorname {e} [x]\operatorname {e} [y]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bdf56a30f7ff1be354713f144bfd02ba949a77f4 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cov} (x,y)=\operatorname {e} \left[xy\right]-\operatorname {e} \left[x\right]\operatorname {e} \left[y\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/128f7734bafe2a92d25d3df5fbb614e1d22b2e45 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} \left[xy\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f05701ae57cc8e32cd812037d7ba5d3d433021d4 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} \left[x\right]\operatorname {e} \left[y\right]} |
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https://upload.wikimedia.org/wikipedia/en/thumb/9/96/symbol_category_class.svg/16px-symbol_category_class.svg.png height: 16 width: 16 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/nuvola_apps_edu_mathematics_blue-p.svg/28px-nuvola_apps_edu_mathematics_blue-p.svg.png height: 28 width: 28 description: icon |
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https://upload.wikimedia.org/wikipedia/en/thumb/4/4a/commons-logo.svg/12px-commons-logo.svg.png height: 16 width: 12 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/37/people_icon.svg/16px-people_icon.svg.png height: 16 width: 16 description: no alt description found |
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