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SEO Keyword summary for en.wikipedia.org/wiki/neutral_particle_oscillations
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 right
Focus keyword
Short and long tail
Short Tail Keywords right left displaystyle |
long Tail Keywords (2 words) cp violation violation through hdisplaystyle h leftbar prightrangle tfrac theta |
long Tail Keywords (3 words) cp violation through physical review letters violation through decay pdisplaystyle leftbar prightrangle hamiltonian hdisplaystyle h through decay only through mixing-decay interference |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/neutral_particle_oscillations 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
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neutral particle oscillation wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
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Headings
Heading distribution
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Emphasis SEO impact
Images
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Images SEO impact
wikipedia free encyclopedia displaystyle mathrm clrightarrow are ento left rightrangle leftpsi trightrangle hat psi ihbar frac partial lefttright thbar right beginpmatrixe endpmatrix wbeginpmatrixw mathbb wbeginpmatrixe epm lefte sqrt leftw hsum limits ajsigma sigma hvec acdot vec leftarighthat ncdot alefta beginalignedsigma ibeginpmatrix xbeginpmatrix beginpmatrix zbeginpmatrix endpmatrixendaligned lefthhright beginalignedhh hhh hsigma endaligned lefthhrightequiv hhhh beginalignedh sum njsigma jsum nksigma ksum njnksigma jsigma njnkleftdelta jkiisum ell varepsilon jkell rightleftsum rightiisum lsum iendaligned kdelta lefthat nright phi nleft sin theta cos beginalignedleftrightrangle beginpmatrixcos tfrac eifrac equiv leftrightrangle beginpmatrixsin tan righte righteiphi beginalignedleft leftcos rightleft leftsin rightendaligned ethbar beginalignedp tbigl leftlangle bigr leftfrac hbar rightfrac omega neq eneq hmfrac gamma beginpmatrixm endpmatrixfrac beginpmatrixgamma mbeginpmatrixm cpt mtheta dagger rightmleft righttheta beginalignedmu mathsf leftdelta mfrac delta rightmu beginalignedleftdelta mright leftm leftgamma mdelta operatorname mathcal bigl leftprightrangle leftbar prightrangle beginalignedleftpmathsf lrightrangle qleft bar leftpmathsf hrightrangle leftpright leftqright pqright etfrac leftmltfrac lright leftmhtfrac hright gpm mmathsf leftleftpmathsf leftmmathsf ltfrac tleftpmathsf htfrac tright cpleftprightrangle eidelta cpleftbar leftleftprightrangle leftleftfrightrangle frightrangle leftfrightrangle pto flefttrightleftleftlangle fplefttrightrightrangle leftglefttrightaffrac qpglefttrightbar afright fbar plefttrightrightrangle leftglefttrightbar abar ffrac pqglefttrightabar fright beginalignedafleftlangle fprightrangle afleftlangle fleftlangle qpright fafrightneq afrightneq plefttrightleftleftlangle pplefttrightrightrangle qpglefttrightright pbar pqglefttrightright qprightneq beginalignedoperatorname flefttrightbigl fptrightrangle afbigr egamma tleft leftlambda rightcosh lefttfrac lambda sinh trightleft rightcos mtright ftbigl ptrightrangle beginalignedgamma hgamma ldelta mmmathsf hmmathsf llambda qpfrac afafafleftlangle afafright afaf rightneq afafrightneq alpha beta pbeta lefttrightsin leftxrightsin ehbar xrightsin textoscxright textosc mpm simeq pcleft rightleftbecause cpll esimeq tsimeq rightc phbar xfrac textoscx textoscfrac righttextsol times leftevc righttextatmsimeq xlambda textoscll textoscsimeq textoscgg xsim leftk beginalignedleftk leftleftk rightleftk leftks leftkl beginalignedleftkl leftvarepsilon rightleftks righttimes mkl mks leftpleftk qleftbar beginalignedeta papi qbar api pteta eta leftapi fcp beginalignedk fcpk fcpendaligned leftvarphi beginpmatrixleftvarphi endpmatrixbeginpmatrixomega endpmatrixbeginpmatrixleftpsi wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/neutral_particle_oscillations
Mobile rendering
Mobile optimizations
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No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/neutral_particle_oscillations
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
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Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
neutral found in path !
oscillation found in path !
particle 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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en.m.wikipedia.org |
en.wikipedia.org wikimedia foundation inc
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w httpsenwikipediaorgwindexphptitleneutralparticleoscillationoldid1241643093
page information
printable version
neutral particle oscillations
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wiki particle physics
electric charge
quantum number
murray gellmann
abraham pais
neutron
antineutron
conservation
baryon number
standard model
antiparticle
kaon
b0 b0 system
d0 d0 oscillation
flavor
neutrino oscillation
babar
belle
r davis
homestake experiment
south dakota
bahcalls
bruno pontecorvo
sudbury neutrino observatory
twostate quantum system
mixed quantum states
pure state
hamiltonian
eigenvalues
schrdinger equation
basis
hermiticity
pauli spin matrices
levicivita symbol
rabi cycle
cpt symmetry
antiunitary operator
natural basis
cp violation
sine squared
david j griffiths
neutral current
flavorchanging neutral current
flavor
bibcode
journal of physics g
arxiv
s2cid
istituto nazionale di fisica nucleare
wileyvch
isbn
physical review
physical review letters
abashian a
pmid
babar collaboration
belle collaboration
physical review d
the nobel foundation
sno collaboration
pearson education international
tata institute of fundamental research
modern quantum mechanics
addisonwesley
particle data group
chinese physics c
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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.
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PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 98% | A title should reflect the contents of a site. This site has a 75 % match | |
Title Length | 100% | Limit your title to anywhere between 40 and 70 characters. Your title was 41 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 | 50% | 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 180 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 | 60% | Headers should reflect the contents of a site. This site has a 26 % match | |
Links | 10% | Link anchors should to some degree reflect the contents of a site. This site has a 5 % match | |
Image alt tags | 14% | Image alt tags should to some degree reflect the contents of a site. This site has a 5 % match | |
Bold and italic | 42% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 14 % 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% | 99.145299145299 % 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 7092 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 79.75% 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 855 inline style declarations ( <a style="color:green">) with a size of 43689 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
185 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/fbe0bdebf3cbcfa1feffcb46a919d8afb5b12a0e height: height attribute not set width: width attribute not set description: {\displaystyle \ {\hat {n}}=\left(\ \sin \theta \cos \phi \ ,\ \sin \theta \sin \phi \ ,\ \cos \theta \ \right)\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/da469594da7821241b50ee1c26105d017e0f1d15 height: height attribute not set width: width attribute not set description: {\displaystyle \ h'\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bff31a0e2854f87ce9938e4dd8ae70d5d1b9ea12 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}\left|+\right\rangle \ &=\ {\begin{pmatrix}\;~\;\cos {\tfrac {\theta }{2}}\;e^{-i{\frac {\phi }{2}}}\\\;~\;\sin {\tfrac {\theta }{2}}\;e^{+i{\frac {\phi }{2}}}\\\end{pmatrix}}\ \equiv ~~~\;\cos {\tfrac {\theta }{2}}\;e^{-i{\frac {\phi }{2}}}\ \left|1\right\rangle \ +~\;\sin {\tfrac {\theta }{2}}\;e^{+i{\frac {\phi }{2}}}\ \left|2\right\rangle \\\left|-\right\rangle \ &=\ {\begin{pmatrix}-\sin {\frac {\theta }{2}}\;e^{+i{\frac {\phi }{2}}}\\~\cos {\frac {\theta }{2}}\;e^{-i{\frac {\phi }{2}}}\\\end{pmatrix}}\ \equiv \ -\sin {\frac {\theta }{2}}\;e^{-i{\frac {\phi }{2}}}\ \left|1\right\rangle \ +~\cos {\frac {\theta }{2}}\;e^{+i{\frac {\phi }{2}}}\ \left|2\right\rangle \\\end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39176c861c68ea0b40ca8a255c4c404396b1ae0d height: height attribute not set width: width attribute not set description: {\displaystyle \ \tan \theta ={\frac {2\left|w_{12}\right|}{e_{1}+w_{11}-e_{2}-w_{22}}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/92f1e0ea8e30d3ae9bbe5e82ad9e3c5138f41150 height: height attribute not set width: width attribute not set description: {\displaystyle \ w_{12}=\left|w_{12}\right|e^{i\phi }\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/caeffdef8026af1534dce3dd66d2a391023a7d3c height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}\left|\ 1\ \right\rangle \ &=\ e^{i{\frac {\phi }{2}}}\left(\cos {\tfrac {\theta }{2}}\left|+\right\rangle -\sin {\tfrac {\theta }{2}}\left|-\right\rangle \right)\\\left|\ 2\ \right\rangle \ &=\ e^{-i{\frac {\phi }{2}}}\left(\sin {\tfrac {\theta }{2}}\left|+\right\rangle +\cos {\tfrac {\theta }{2}}\left|-\right\rangle \right)\\\end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9e2ba40bc6810ba9107be70eef685aa61444d708 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|\ \psi (0)\ \right\rangle \ =\ \left|1\right\rangle \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e47754f7bee7445b9a9d1c399b0c1cec9b70eb2 height: height attribute not set width: width attribute not set description: {\displaystyle \,\left|\ \psi (t)\ \right\rangle \ =\ e^{i\ {\frac {\phi }{2}}}\left(\cos {\tfrac {\theta }{2}}\ \left|+\right\rangle \ e^{-i\ {\frac {e_{+}t}{\hbar }}}-\sin {\tfrac {\theta }{2}}\ \left|-\right\rangle \ e^{-i\ {\frac {e_{-}t}{\hbar }}}\right)\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83cde8d5c071716c28863e55b511d77a1f32540b height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|1\right\rangle ~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b0e0bb2a6a3d4150f3bfad42d365078faa5e97be height: height attribute not set width: width attribute not set description: {\displaystyle \ t\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6317f69b7713cff35ba7a8e5b97101de643789f0 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}p_{21}\!(t)&={\bigl |}\ \left\langle \ 2\ |\ \psi (t)\ \right\rangle \ {\bigr |}^{2}=\sin ^{2}\!\theta \ \sin ^{2}\!\!\left({\frac {\ e_{+}-e_{-}\ }{\ 2\ \hbar \ }}\ t\ \right)\\&={\frac {4\left|w_{12}\right|^{2}}{4\left|w_{12}\right|^{2}+\left(e_{1}-e_{2}\right)^{2}}}\sin ^{2}\!\!\left(\ {\frac {\ {\sqrt {4\ \left|w_{12}\right|^{2}+\left(e_{1}-e_{2}\right)^{2}\ }}\ }{\ 2\ \hbar \ }}\ t\ \right)\\\end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6be20f573642150ca79c3e1b2ac30fff80ae0121 height: height attribute not set width: width attribute not set description: {\displaystyle \,\omega ={\frac {\ e_{1}-e_{2}\ }{\ 2\ \hbar \ }}={\frac {\ {\sqrt {4\left|w_{12}\right|^{2}+\left(e_{1}-e_{2}\right)^{2}\ }}\ }{\ 2\ \hbar \ }}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/78883cfcc1bc7593589b23ec8e392676006a7ca6 height: height attribute not set width: width attribute not set description: {\displaystyle \ p_{21}\!(t)\ ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d87c84f6f270a426736b3def3a9e0fb780b9e84 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|w_{12}\right|^{2}\neq 0~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/30ee9639a1391fa37a9b3affad878f2867fc4733 height: height attribute not set width: width attribute not set description: {\displaystyle \ w_{12}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f4b64a40404d403f678e5803021c609a0102cc9 height: height attribute not set width: width attribute not set description: {\displaystyle \ e_{+}=e_{-}~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/364cec59e1045959ed0e7359e38ba06f6716a033 height: height attribute not set width: width attribute not set description: {\displaystyle \ e_{+}\neq e_{-}~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6283dfb32de98f5051d4fa987e8c2bbe8a20963 height: height attribute not set width: width attribute not set description: {\displaystyle \ h\;=\;m-{\frac {i}{2}}\ \gamma \;=\;{\begin{pmatrix}m_{11}&m_{12}\\m_{12}^{*}&m_{11}\\\end{pmatrix}}-{\frac {i}{2}}\ {\begin{pmatrix}\gamma _{11}&\gamma _{12}\\\gamma _{12}^{*}&\gamma _{11}\\\end{pmatrix}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4f9ff0afe83b57027dad197c8b92a266c7eb8807 height: height attribute not set width: width attribute not set description: {\displaystyle \ m={\begin{pmatrix}m_{11}&m_{12}\\m_{21}&m_{22}\\\end{pmatrix}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/30a1b8084de5a9b87edf0b1859e3c2826d3594d0 height: height attribute not set width: width attribute not set description: {\displaystyle \ \gamma ={\begin{pmatrix}\gamma _{11}&\gamma _{12}\\\gamma _{21}&\gamma _{11}\\\end{pmatrix}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ee368dd035ee0a2d5b7502831a069db1b3979a55 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/018ed04152e031319c6c6032dbddf5f77ca11011 height: height attribute not set width: width attribute not set description: {\displaystyle \ \gamma \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/114c80e8dd84476d1431054bea6ac8802caea47e height: height attribute not set width: width attribute not set description: {\displaystyle ~~m_{21}=m_{12}^{*}~~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68930a0c37ff2b3b6726ac662b7ebd0b04db75ef height: height attribute not set width: width attribute not set description: {\displaystyle ~~\gamma _{21}=\gamma _{12}^{*}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a281dea65ab2a9cc315875c893fda634cf04ec45 height: height attribute not set width: width attribute not set description: {\displaystyle \ m_{22}=m_{11}~~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f38bef9753c499526c85ed4e38550adccb5bf996 height: height attribute not set width: width attribute not set description: {\displaystyle ~~\gamma _{22}=\gamma _{11}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fce3b27b06ad30441e014f89e037af14dcbc2c97 height: height attribute not set width: width attribute not set description: {\displaystyle \ \theta =cpt~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a0c82faf6f0d0eeeec7701372a92830b59b86332 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/c147c51574f8c2e6f720c4394579ef0eb0044c41 height: height attribute not set width: width attribute not set description: {\displaystyle \ \theta \left|1\right\rangle =\left|2\right\rangle ~~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e06e6833c0072d9a4244f9fe435ee5596ccd933a height: height attribute not set width: width attribute not set description: {\displaystyle ~~\theta \left|2\right\rangle =\left|1\right\rangle \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cdc198af01e38b21c3a14c772fbd57f843beb307 height: height attribute not set width: width attribute not set description: {\displaystyle \ \theta ^{-1}m\theta =m~~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8da8ff8250280a314495240b9242970fe07adbba height: height attribute not set width: width attribute not set description: {\displaystyle ~~\theta ^{-1}\gamma \theta =\gamma \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/123e24c1027ed49097ddadd31d916d1b6815bab3 height: height attribute not set width: width attribute not set description: {\displaystyle \ \theta ^{\dagger }\theta =i\ ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/618100c705cc073018e365aea936feede66038c2 height: height attribute not set width: width attribute not set description: {\displaystyle \ m_{22}=\left\langle 2\right|m\left|2\right\rangle =\left\langle 2\right|\theta ^{-1}m\theta \left|2\right\rangle =\left\langle 2\right|\theta ^{\dagger }m\theta \left|2\right\rangle =\left\langle 1\right|m\left|1\right\rangle =m_{11}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/579bb1adebdc19d18215f75dca30db8e07119731 height: height attribute not set width: width attribute not set description: {\displaystyle \ \gamma ~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03c1e034c341c0c6af121125e3ea7f3f1d2b1549 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}\mu _{\mathsf {h}}&=m_{11}-{\tfrac {i}{2}}\gamma _{11}+{\tfrac {1}{2}}\left(\delta m-{\frac {i}{2}}\delta \gamma \right),\\\mu _{\mathsf {l}}&=m_{11}-{\tfrac {i}{2}}\gamma _{11}-{\tfrac {1}{2}}\left(\delta m-{\frac {i}{2}}\delta \gamma \right)\end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cbea6050252256b56baa2b0005eec9f1bb7220d7 height: height attribute not set width: width attribute not set description: {\displaystyle \ \delta m\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b403e9968b13f96268fa478be1b84c3f3940c693 height: height attribute not set width: width attribute not set description: {\displaystyle \ \delta \gamma \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3bf962d12b9b599d2583d8a015c4639eea6ccd8a height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}\left(\delta m\right)^{2}-\left({\frac {\delta \gamma }{2}}\right)^{2}&=4\left|m_{12}\right|^{2}-\left|\gamma _{12}\right|^{2}\ ,\\\delta m\delta \gamma &=4\operatorname {\mathcal {r_{e}}} \left(m_{12}\gamma _{12}^{*}\right)\end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8a2559989a97e4068e9e5fb20f24f0249b79e85d height: height attribute not set width: width attribute not set description: {\displaystyle \delta m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c912e05e0152758f24cedbe050e699da7eaf93a height: height attribute not set width: width attribute not set description: {\displaystyle \ \mu _{\mathsf {l}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5c9673e7c71d61e034e5a62e50fdad78071cfdf6 height: height attribute not set width: width attribute not set description: {\displaystyle \ \mu _{\mathsf {h}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/edee1e77f2596cf0daaa111f4f837a58e5051b28 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\bigl \{}\left|p\right\rangle \ ,\ \left|{\bar {p}}\right\rangle {\bigr \}}~\equiv ~{\bigl \{}\ (1,0)\ ,\ (0,1)\ {\bigr \}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b9664423d3f8669e6ad830e90f4441343d30f233 height: height attribute not set width: width attribute not set description: {\displaystyle \ {\begin{aligned}\left|p_{\mathsf {l}}\right\rangle \ &=\ p\ \left|p\right\rangle \ +\ q\left|\ {\bar {p}}\right\rangle \\\left|p_{\mathsf {h}}\right\rangle \ &=\ p\ \left|p\right\rangle \ -\ q\left|\ {\bar {p}}\right\rangle \end{aligned}}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6fae5389ed710588ee1a8be2a9db2160455ae61c height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|p\right|^{2}+\left|q\right|^{2}\ =\ 1~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d80db1213016e0e36d7d4dd8552f7dfd5e44b02 height: height attribute not set width: width attribute not set description: {\displaystyle ~\left({\frac {p}{q}}\right)^{2}\ =\ {\frac {\ m_{12}^{*}\ -\ {\tfrac {i}{2}}\gamma _{12}^{*}\ }{\ m_{12}\ -\ {\tfrac {i}{2}}\gamma _{12}\ }}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8790f592975c87339724271e0f1ed53fb7804731 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/6dca7fa0676c6c83bc15191cc0ffc20320f63562 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/58822975f39a4dbf42b7b7f939f56dad074320c9 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|p\right\rangle ~.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c717a5244b74fff57228f3325e13ae55bd81578c height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|\ p(0)\ \right\rangle \ =\ \left|p\right\rangle \ =\ {\frac {1}{\ 2\ p\ }}\ {\bigl (}\ \left|p_{\mathsf {l}}\right\rangle \ +\ \left|p_{\mathsf {h}}\right\rangle \ {\bigr )}\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fb0064d6813e684d4d23ceb81bbc4898fa9f5363 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|\ p(t)\ \right\rangle \ =\ {\frac {1}{\ 2\ p\ }}\ \left(\ \left|p_{\mathsf {l}}\right\rangle \ e^{-{\tfrac {i}{\hbar }}\ \left(m_{l}-{\tfrac {i}{2}}\gamma _{l}\right)\ t}\ +\ \left|p_{\mathsf {h}}\right\rangle \ e^{-{\tfrac {i}{\hbar }}\ \left(m_{h}-{\tfrac {i}{2}}\gamma _{h}\right)\ t}\ \right)\ =\ g_{+}(t)\ \left|p\right\rangle \ -\ {\frac {\ q\ }{p}}\ g_{-}(t)\ \left|{\bar {p}}\right\rangle \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f6d4e344adcd31ecd1395905cc1db379f725a8a4 height: height attribute not set width: width attribute not set description: {\displaystyle \ g_{\pm }(t)\ =\ {\frac {\ 1\ }{2}}\left(\ e^{-{\tfrac {i}{\hbar }}\ \left(\ m_{\mathsf {h}}\ -\ {\tfrac {i}{2}}\ \gamma _{\mathsf {h}}\ \right)\ t}\ \pm \ e^{-{\tfrac {i}{\hbar }}\ \left(\ m_{\mathsf {l}}\ -\ {\tfrac {i}{2}}\ \gamma _{\mathsf {l}}\ \right)\ t}\ \right)\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/78cffd6a2fdb450d3cc125ccb35dbe2cdcfcd976 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\bar {p}}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2a64ed3ad73118ceef9f50c0ad59fb8bc72470f9 height: height attribute not set width: width attribute not set description: {\displaystyle \,\left|\ {\bar {p}}(t)\ \right\rangle ={\frac {1}{\ 2\ q\ }}\left(\left|p_{\mathsf {l}}\right\rangle \ e^{-{\tfrac {i}{\hbar }}\ \left(m_{\mathsf {l}}-{\tfrac {i}{2}}\gamma _{\mathsf {l}}\right)\ t}-\left|p_{\mathsf {h}}\right\rangle \ e^{-{\tfrac {i}{\hbar }}\ \left(m_{\mathsf {h}}-{\tfrac {i}{2}}\gamma _{\mathsf {h}}\right)\ t}\right)\ =\ -{\frac {p}{\ q\ }}\ g_{-}(t)\ \left|p\right\rangle \ +\ g_{+}(t)\ \left|{\bar {p}}\right\rangle \ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/55396409a736054d6eeb87e5c89fa4f161cd315a height: height attribute not set width: width attribute not set description: {\displaystyle \left|p\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/deae659a9d619b00b6e6ef58db5da54daf0ce3ae height: height attribute not set width: width attribute not set description: {\displaystyle cp\left|p\right\rangle =e^{i\delta }\left|{\bar {p}}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1fba260815f2fecd9929f04270b92436833b359f height: height attribute not set width: width attribute not set description: {\displaystyle cp\left|{\bar {p}}\right\rangle =e^{-i\delta }\left|p\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc5b944a39fbf47d19710ae0ed220fd9ba0e96f0 height: height attribute not set width: width attribute not set description: {\displaystyle \left\{\left|p\right\rangle ,\left|{\bar {p}}\right\rangle \right\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be5e704744c1de84bf521ca5f8ef0b317e2ffc3b height: height attribute not set width: width attribute not set description: {\displaystyle \left\{\left|f\right\rangle ,\left|{\bar {f}}\right\rangle \right\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d3654bd3f58243fb7cb068c650ccf51a7618ba9 height: height attribute not set width: width attribute not set description: {\displaystyle \left|f\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d853f795feaff6f6339faf3f5c778485678dc8e height: height attribute not set width: width attribute not set description: {\displaystyle \wp _{p\to f}\left(t\right)=\left|\left\langle f|p\left(t\right)\right\rangle \right|^{2}=\left|g_{+}\left(t\right)a_{f}-{\frac {q}{p}}g_{-}\left(t\right){\bar {a}}_{f}\right|^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7c3cc75e2dfde3da8830ee5810609c2e2a39939b height: height attribute not set width: width attribute not set description: {\displaystyle \wp _{{\bar {p}}\to {\bar {f}}}\left(t\right)=\left|\left\langle {\bar {f}}|{\bar {p}}\left(t\right)\right\rangle \right|^{2}=\left|g_{+}\left(t\right){\bar {a}}_{\bar {f}}-{\frac {p}{q}}g_{-}\left(t\right)a_{\bar {f}}\right|^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1dc330361c21168132e1a161b908837f4b393aef height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}a_{f}&=\left\langle f|p\right\rangle \\{\bar {a}}_{f}&=\left\langle f|{\bar {p}}\right\rangle \\a_{\bar {f}}&=\left\langle {\bar {f}}|p\right\rangle \\{\bar {a}}_{\bar {f}}&=\left\langle {\bar {f}}|{\bar {p}}\right\rangle \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d7ae6d9b6a3ddb7f1579776af1c17eaee86856e2 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\frac {q}{p}}\right|=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6a8d204f2382201703b189340baee0ddce37d0d9 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\frac {{\bar {a}}_{\bar {f}}}{a_{f}}}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ad1bc4519453c05f6cbf2fc4e4e6feef5e876e67 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\frac {a_{\bar {f}}}{\bar {a_{f}}}}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5cd8f9d4bc9829be127fea2dd6d694ccff06611b height: height attribute not set width: width attribute not set description: {\displaystyle \wp _{p\to {\bar {p}}}\left(t\right)=\left|\left\langle {\bar {p}}|p\left(t\right)\right\rangle \right|^{2}=\left|{\frac {q}{p}}g_{-}\left(t\right)\right|^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a9a669e62d4e974c1df80d34fefc75ab0ea63683 height: height attribute not set width: width attribute not set description: {\displaystyle \wp _{{\bar {p}}\to p}\left(t\right)=\left|\left\langle p|{\bar {p}}\left(t\right)\right\rangle \right|^{2}=\left|{\frac {p}{q}}g_{-}\left(t\right)\right|^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56ef60ebbfab05a7e74bb4b03da6e2792c6b5953 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\frac {q}{p}}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f6eefa3ca4b2bdf546eac281e30de60512cc787 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {\mathcal {p}} _{p\to f}\left(t\right)&={\bigl |}\left\langle f|p(t)\right\rangle {\bigr |}^{2}\\&={\bigl |}a_{f}{\bigr |}^{2}{\tfrac {1}{2}}e^{-\gamma t}\left[\ \left(1+\left|\lambda _{f}\right|^{2}\right)\cosh \!\left({\tfrac {1}{2}}\delta \gamma t\right)+2\ \operatorname {\mathcal {r_{e}}} \!\left\{\ \lambda _{f}\ \right\}\ \sinh \!\left({\tfrac {1}{2}}\delta \gamma t\right)+\left(1-\left|\lambda _{f}\right|^{2}\right)\cos \!\left(\delta mt\right)+2\ \operatorname {\mathcal {i_{m}}} \!\left\{\ \lambda _{f}\ \right\}\ \sin \!\left(\delta mt\right)\ \right]\\\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3addab7482b243976558e9212df336a6d08b0859 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\operatorname {\mathcal {p}} _{{\bar {p}}\to f}(t)&={\bigl |}\left\langle f|{\bar {p}}(t)\right\rangle {\bigr |}^{2}\\&={\bigl |}a_{f}{\bigr |}^{2}\left|{\frac {p}{q}}\right|^{2}{\tfrac {1}{2}}e^{-\gamma t}\left[\ \left(1+\left|\lambda _{f}\right|^{2}\right)\cosh \!\left({\tfrac {1}{2}}\delta \gamma t\right)+2\ \operatorname {{\mathcal {r}}_{e}} \!\left\{\ \lambda _{f}\ \right\}\ \sinh \!\left({\tfrac {1}{2}}\delta \gamma t\right)-\left(1-\left|\lambda _{f}\right|^{2}\right)\cos \left(\delta mt\right)-2\ \operatorname {{\mathcal {i}}_{m}} \!\left\{\ \lambda _{f}\ \right\}\ \sin \left(\delta mt\right)\ \right]\\\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1b6d659c74084a5be8cb1d64497632f82e9023e8 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\gamma &={\tfrac {1}{2}}\left(\gamma _{\mathsf {h}}+\gamma _{\mathsf {l}}\right)\ \delta \gamma =\gamma _{\mathsf {h}}-\gamma _{\mathsf {l}}\\\delta m&=m_{\mathsf {h}}-m_{\mathsf {l}}\\\lambda _{f}&={\frac {q}{p}}{\frac {{\bar {a}}_{f}}{a_{f}}}\\a_{f}&=\left\langle f|p\right\rangle \\{\bar {a}}_{f}&=\left\langle f|{\bar {p}}\right\rangle \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b2c65582bea7f3a667dde54db142d545f619a242 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|{\tfrac {q}{p}}\right|=1\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dcc338596210da95ee1527c7e2d06041945ff268 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|{\tfrac {{\bar {a}}_{f}}{a_{f}}}\right|=1\ } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dd26ea933cf588c3ea45d43eb8c8d716f109a295 height: height attribute not set width: width attribute not set description: {\displaystyle \ \left|\lambda _{f}\right|=1\ ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/67fdc72dc4e7257243516428d565938b07ebdd88 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {{\mathcal {i}}_{m}} \!\left\{\ \lambda _{f}\ \right\}\ =\ \operatorname {{\mathcal {i}}_{m}} \!\left\{\ {\frac {q}{p}}{\frac {{\bar {a}}_{f}}{a_{f}}}\ \right\}\neq 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7cb52e8b372aa70bfb80a18304757776ae7c8d22 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\bar {a}}_{f}/a_{f}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ed48a5e36207156fb792fa79d29925d2f7901e8 height: height attribute not set width: width attribute not set description: {\displaystyle \beta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7db5bfed1fa4deb4799b404b159f3ab51619d141 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\beta \alpha }\left(t\right)=\sin ^{2}\theta \sin ^{2}\left({\frac {e_{+}-e_{-}}{2\hbar }}t\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b7675a3af5d4388ff01062658a09c737050c9b32 height: height attribute not set width: width attribute not set description: {\displaystyle e_{+}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83337410bf7db63c0ffa4536ebf5845fa34edd32 height: height attribute not set width: width attribute not set description: {\displaystyle e_{-}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/04a09d0f73281003324acfbd80cbf8a555aec622 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\beta \alpha }\left(x\right)=\sin ^{2}\theta \sin ^{2}\left({\frac {\delta m^{2}c^{3}}{4e\hbar }}x\right)=\sin ^{2}\theta \sin ^{2}\left({\frac {2\pi }{\lambda _{\text{osc}}}}x\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/21de7293fdc06e8b2ae683be60319a2c86e4d01b height: height attribute not set width: width attribute not set description: {\displaystyle \delta m^{2}={m_{+}}^{2}-{m_{-}}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455 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/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/4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b height: height attribute not set width: width attribute not set description: {\displaystyle e} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f15bebc8fddf7d20ea4cc9a26db0e6c37801110a height: height attribute not set width: width attribute not set description: {\displaystyle \lambda _{\text{osc}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9f80310d68045ac759814f42f82a3fc9c9f09d01 height: height attribute not set width: width attribute not set description: {\displaystyle e_{\pm }={\sqrt {p^{2}c^{2}+{m_{\pm }}^{2}c^{4}}}\simeq pc\left(1+{\frac {{m_{\pm }}^{2}c^{2}}{2p^{2}}}\right)\left[\because {\frac {m_{\pm }c}{p}}\ll 1\right]} |
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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/26872214cc46c33576fe35240cdecbd4dc898aae height: height attribute not set width: width attribute not set description: {\displaystyle e\simeq pc} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ce63e9ee9f43437b90de10297324bb57461bd4ac height: height attribute not set width: width attribute not set description: {\displaystyle t\simeq x/c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9e205405a0759591ef69e7ee118fecaffb8e6be height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {e_{+}-e_{-}}{2\hbar }}t\simeq {\frac {\left({m_{+}}^{2}-{m_{-}}^{2}\right)c^{3}}{2p\hbar }}t\simeq {\frac {\delta m^{2}c^{3}}{4e\hbar }}x={\frac {2\pi }{\lambda _{\text{osc}}}}x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b39a4edeeb5c67ed837b2b869421b5a2633598b1 height: height attribute not set width: width attribute not set description: {\displaystyle \lambda _{\text{osc}}={\frac {8\pi e\hbar }{\delta m^{2}c^{3}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f2de7798d2c82abd2eab16e98c24d6cdd3e70be8 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left(\delta m^{2}\right)_{12}&={m_{1}}^{2}-{m_{2}}^{2}\\\left(\delta m^{2}\right)_{23}&={m_{2}}^{2}-{m_{3}}^{2}\\\left(\delta m^{2}\right)_{31}&={m_{3}}^{2}-{m_{1}}^{2}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc06b4928b572afddc5c78892373bc37b371eb01 height: height attribute not set width: width attribute not set description: {\displaystyle \left(\delta m^{2}\right)_{12}+\left(\delta m^{2}\right)_{23}+\left(\delta m^{2}\right)_{31}=0~} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/66df41e78306bae09e0010cc944bd216d4d2c575 height: height attribute not set width: width attribute not set description: {\displaystyle \left(\delta m^{2}\right)_{\text{sol }}\simeq 8\times 10^{-5}\left(ev/c^{2}\right)^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/36505d8392d9a59cb49bfee9c651608abf3caf6d height: height attribute not set width: width attribute not set description: {\displaystyle \left(\delta m^{2}\right)_{\text{atm}}\simeq 3\times 10^{-3}\left(ev/c^{2}\right)^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/84a89b813919f853a9c6874a4c06d6cb2ec3142c height: height attribute not set width: width attribute not set description: {\displaystyle \delta m^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a447ac77c79280471d286d4f2eaeffa46a2d936d height: height attribute not set width: width attribute not set description: {\displaystyle x/\lambda _{\text{osc}}\ll 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/00ab52af49f8ad3914c5d6f944c9e09f89829932 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\beta \alpha }\simeq 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b38cdde618d80bb1d64cad5c9168036c91cf1eaa height: height attribute not set width: width attribute not set description: {\displaystyle x/\lambda _{\text{osc}}\simeq n} |
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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/d164aa221c76e38656a9c8b88acfdb603bf5eeae height: height attribute not set width: width attribute not set description: {\displaystyle x/\lambda _{\text{osc}}\gg 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7606baac550eb284927cb95ae2e9a9555af3dfda height: height attribute not set width: width attribute not set description: {\displaystyle x\sim \lambda _{\text{osc}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f62abdfe76740f6a812f9d27fee0dd6ec9bdfc0 height: height attribute not set width: width attribute not set description: {\displaystyle \left|k^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d35b87409c72d6e57fe651478b0ef5569c600e8f height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\bar {k}}^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1e4c7572f2521e4197d54be4fb695f580d00780d height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left|k_{^{1}}^{0}\right\rangle &={\frac {1}{\sqrt {2}}}\left(\left|k^{0}\right\rangle +\left|{\bar {k}}^{0}\right\rangle \right)\\\left|k_{2}^{0}\right\rangle &={\frac {1}{\sqrt {2}}}\left(\left|k^{0}\right\rangle -\left|{\bar {k}}^{0}\right\rangle \right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/595369989f0a49651dc6637f2e764ce598d16f2f height: height attribute not set width: width attribute not set description: {\displaystyle \left|k_{^{1}}^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c51c724351a6be999ce93b11d7e847e930ea9927 height: height attribute not set width: width attribute not set description: {\displaystyle \left|k_{2}^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/57aa28544ecad65704d747a2d16e5398c6d1c609 height: height attribute not set width: width attribute not set description: {\displaystyle \left|k_{s}^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f8668b79ec6017e96d2a4f87ab7668fd5a6ffcf0 height: height attribute not set width: width attribute not set description: {\displaystyle \left|k_{l}^{0}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/82b0c0fff507be0e5e3dba8ad17713e52651f6c5 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left|k_{l}^{0}\right\rangle &={\frac {1}{\sqrt {1+\left|\varepsilon \right|^{2}}}}\left(\left|k_{2}^{0}\right\rangle +\varepsilon \left|k_{1}^{0}\right\rangle \right)\\\left|k_{s}^{0}\right\rangle &={\frac {1}{\sqrt {1+\left|\varepsilon \right|^{2}}}}\left(\left|k_{1}^{0}\right\rangle +\varepsilon \left|k_{2}^{0}\right\rangle \right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a30c89172e5b88edbd45d3e2772c7f5e562e5173 height: height attribute not set width: width attribute not set description: {\displaystyle \varepsilon } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/64880dcc249e8691bc5c1227e80911626bf85109 height: height attribute not set width: width attribute not set description: {\displaystyle \left|\varepsilon \right|=\left(2.228\pm 0.011\right)\times 10^{-3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/efb0e458ecccdbea1e7514eccf72ddc6138dcbed height: height attribute not set width: width attribute not set description: {\displaystyle m_{k_{l}^{0}}>m_{k_{s}^{0}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/621b69c4b0c305105a78cafd549a0f5f727bdeec height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left|k_{l}^{0}\right\rangle &=\left(p\left|k^{0}\right\rangle -q\left|{\bar {k}}^{0}\right\rangle \right)\\\left|k_{s}^{0}\right\rangle &=\left(p\left|k^{0}\right\rangle +q\left|{\bar {k}}^{0}\right\rangle \right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8cbd244b55e63ea3bc3a4ede52bb37f16431b7f9 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {q}{p}}={\frac {1-\varepsilon }{1+\varepsilon }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d6a051d89ef67b498d0611c99f76e2ea65935b88 height: height attribute not set width: width attribute not set description: {\displaystyle \left|\varepsilon \right|\neq 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/58c0b5d2f7d40841cf72a29851c8a07b528e4327 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\eta _{+-}&={\frac {\left\langle \pi ^{+}\pi ^{-}|k_{l}^{0}\right\rangle }{\left\langle \pi ^{+}\pi ^{-}|k_{s}^{0}\right\rangle }}={\frac {pa_{\pi ^{+}\pi ^{-}}-q{\bar {a}}_{\pi ^{+}\pi ^{-}}}{pa_{\pi ^{+}\pi ^{-}}+q{\bar {a}}_{\pi ^{+}\pi ^{-}}}}={\frac {1-\lambda _{\pi ^{+}\pi ^{-}}}{1+\lambda _{\pi ^{+}\pi ^{-}}}}\\[3pt]\eta _{00}&={\frac {\left\langle \pi ^{0}\pi ^{0}|k_{l}^{0}\right\rangle }{\left\langle \pi ^{0}\pi ^{0}|k_{s}^{0}\right\rangle }}={\frac {pa_{\pi ^{0}\pi ^{0}}-q{\bar {a}}_{\pi ^{0}\pi ^{0}}}{pa_{\pi ^{0}\pi ^{0}}+q{\bar {a}}_{\pi ^{0}\pi ^{0}}}}={\frac {1-\lambda _{\pi ^{0}\pi ^{0}}}{1+\lambda _{\pi ^{0}\pi ^{0}}}}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e01ff12bf98dff3ea0eaacb49622dcdefb90bab5 height: height attribute not set width: width attribute not set description: {\displaystyle \eta _{+-}=\left(2.232\pm 0.011\right)\times 10^{-3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9be71a5e6e7053649fda90a9f3941a14089d8ef0 height: height attribute not set width: width attribute not set description: {\displaystyle \eta _{00}=\left(2.220\pm 0.011\right)\times 10^{-3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5581ee400840adccf3ad07e23ea355136a5d7c1f height: height attribute not set width: width attribute not set description: {\displaystyle \eta _{+-}\neq \eta _{00}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/311d70a31e1c95c59094b44eecdeb1981a8d388d height: height attribute not set width: width attribute not set description: {\displaystyle \left|a_{\pi ^{+}\pi ^{-}}/{\bar {a}}_{\pi ^{+}\pi ^{-}}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/314959fbe475aa8f13dd36814012a0f493320ca7 height: height attribute not set width: width attribute not set description: {\displaystyle \left|a_{\pi ^{0}\pi ^{0}}/{\bar {a}}_{\pi ^{0}\pi ^{0}}\right|\neq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/24a2495215e50671ec51ddb70a81a562ec70d89a height: height attribute not set width: width attribute not set description: {\displaystyle f_{cp}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be0247b51c573ded93f196b94c6ec7bb3502d281 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}k^{0}&\to f_{cp}\\k^{0}&\to {\bar {k}}^{0}\to f_{cp}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1a6bf0ed6945480676e6b9302f944d06cc7bc92e height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\varphi _{\alpha }}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/21723b61dcc9a05e23586b00e8bef827e8032418 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\varphi _{\beta }}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ac355e583a1b8dbf8e72fec1fe98611434aca148 height: height attribute not set width: width attribute not set description: {\displaystyle \left|{\varphi _{\gamma }}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/79252c4b7bd633606c06a16654bec04f0d2052ff height: height attribute not set width: width attribute not set description: {\displaystyle \left|\psi _{1}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/05687d3c1acc79f8154dccc54cb239bdf905a7b8 height: height attribute not set width: width attribute not set description: {\displaystyle \left|\psi _{2}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2503276d9a7f6036e1f5b03f644a001a1aa3df48 height: height attribute not set width: width attribute not set description: {\displaystyle \left|\psi _{3}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f07d41c55ed3cf235f41852c67dbd0f219af32e5 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{pmatrix}\left|{\varphi _{\alpha }}\right\rangle \\\left|{\varphi _{\beta }}\right\rangle \\\left|{\varphi _{\gamma }}\right\rangle \\\end{pmatrix}}={\begin{pmatrix}\omega _{\alpha 1}&\omega _{\alpha 2}&\omega _{\alpha 3}\\\omega _{\beta 1}&\omega _{\beta 2}&\omega _{\beta 3}\\\omega _{\gamma 1}&\omega _{\gamma 2}&\omega _{\gamma 3}\\\end{pmatrix}}{\begin{pmatrix}\left|\psi _{1}\right\rangle \\\left|\psi _{2}\right\rangle \\\left|\psi _{3}\right\rangle \\\end{pmatrix}}} |
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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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