it.wikipedia.org website review
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it.wikipedia.org is 58% geoptimaliseerd!
SEO Keyword summary for it.wikipedia.org/wiki/notazione_bra-ket
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 rangle
Focus keyword
Short and long tail
Short Tail Keywords rangle displaystyle langle |
long Tail Keywords (2 words) alpha rangle mathcal h rangle langle spazio di di hilbert |
long Tail Keywords (3 words) spazio di hilbert hdisplaystyle mathcal h rangle beta rangle vdots ddots vdots alpha alpha rangle langle alpha alpha rangle alpha rangle |
it.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a it.wikipedia.org/wiki/notazione_bra-ket 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
notazione braket wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
niente fonti displaystyle phi psi langle rangle cdot mathcal alpha beta aalpha bbeta abin mathbb gamma exists abeta abalpha balpha nrangle cdots cnalpha rightarrow anenrangle dots enrangle geq leftrightarrow sqrt cbeta clangle eirangle lefte right eiejrangle delta sum ieirangle eialpha icieirangle ilangle eisum icilangle cilangle beginpmatrixlangle vdots endpmatrix calpha varphi leftlangle rightrangle ileftlangle eirightrangle eivarphi endpmatrixbeginpmatrixlangle ipsi ivarphi leftvarphi apsi beginalignedae endaligned eiaejrangle aij avarphi ijlangle ejvarphi ijeirangle asum ntimes abeginpmatrixlangle ddots endpmatrixbeginpmatrixa endpmatrixaij eiaejrightrangle eii aaalpha cbcdot cvarphi beirangle eiavarphi ejcekrangle ejbeirangle eiaekrangle cjk cjksum naijcdot bki acdot bneq bcdot abeginpmatrixa nvdots annendpmatrix atbeginpmatrixa ndots aat btbtcdot adagger atatbeginpmatrixa aadagger bdagger frac cdet firangle beginalignede fnrangle snnfnrangle sji ejrangle nsijfirangle iajrightrangle leftbeginmatrixlangle arangle endmatrixright iut jrightrangle hin hrangle jmathcal hrightarrow hhgquad forall gin hgrangle hgphi hghg collabora wikimedia commons modifica wikidata foundation powered mediawiki
Mobile SEO it.wikipedia.org/wiki/notazione_bra-ket
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for it.wikipedia.org/wiki/notazione_bra-ket
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
notazione found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistiche
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it.m.wikipedia.org |
w modifica wikitesto
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meccanica statistica quantistica
amplificatore quantistico
link permanente
informazioni pagina
versione stampabile
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wiki meccanica quantistica
paul dirac
stato quantico
vettori
spazio funzionale
lineare
spazio di hilbert
spazio vettoriale
principio di sovrapposizione
se e solo se
combinazione lineare
spazio euclideo
norma
spazio completo
separabile
delta di kronecker
ampiezza di probabilit
prodotto scalare
osservabile
applicazione lineare
matrice
operatore identit
commutatore matematica
matrice quadrata
matrice trasposta
simmetrica
antisimmetrica
matrice complessa coniugata
matrice trasposta coniugata
matrice hermitiana
autoaggiunta
antihermitiana
invertibile
condizione necessaria e sufficiente
determinante
matrice unitaria
matrice di cambiamento di base
spin
elettrone
temporale
probabilit
quattro
limite
matrice s
scattering
teoria dei propagatori
spazio duale
teorema di rappresentazione di riesz
html
operatore aggiunto
mathworld
postulati della meccanica quantistica
operatore normale
principio di indeterminazione di heisenberg
principio di complementarit
funzione donda
collasso della funzione donda
interpretazione di copenaghen
vecchia teoria dei quanti
interpretazione di bohm
problema della misura
principio di sovrapposizione
effetto tunnel
decoerenza quantistica
livello energetico
legge di born
interferenza fisica
storie consistenti
operatore impulso
operatore posizione
operatore hamiltoniano
operatore momento angolare
operatore densit
meccanica ondulatoria
meccanica delle matrici
integrale sui cammini
equazione di schrdinger
equazione di pauli
equazione di kleingordon
equazione di dirac
formula di rydberg
teoria quantistica dei campi
gravit quantistica
effetto casimir
paradosso del gatto di schrdinger
paradosso di einsteinpodolskyrosen
suicidio quantistico
esperimenti sulle disuguaglianze di bell
esperimento di davisson e germer
esperimento di cancellazione quantistica
esperimento di sterngerlach
esperimento di franckhertz
esperimento elitzurvaidman
algoritmo quantistico
computer quantistico
crittografia quantistica
distribuzione a chiave quantistica
ottica quantistica
porta quantistica
rete quantistica
teletrasporto quantistico
leggi
pagina principale
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Links to external pages
Outloing links
dx.doi.org
commons.wikimedia.org
commons.wikimedia.org
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mathworld.wolfram.com
www.wikidata.org
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foundation.wikimedia.org
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SEO Advice for it.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 43% | A title should reflect the contents of a site. This site has a 33 % match | |
Title Length | 30% | Limit your title to anywhere between 40 and 70 characters. Your title was 30 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 156 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 5 folders above or in the first level of navigation. | |
Headings | 35% | Headers should reflect the contents of a site. This site has a 15 % match | |
Links | 10% | Link anchors should to some degree reflect the contents of a site. This site has a 5 % 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 | 66% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 22 % 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 | 97% | 97.183098591549 % 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 3706 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 85.64% 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 279 inline style declarations ( <a style="color:green">) with a size of 9873 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 100% | Perfect, we found a correct use of normalized headings ! |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
it.wikipedia.org images and descriptions
124 images found at it.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a212318c903d41f6040a0e108599da8a183073b height: height attribute not set width: width attribute not set description: {\displaystyle a|\psi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b04741464c825fb68670950855e48a4780f3a6a9 height: height attribute not set width: width attribute not set description: {\displaystyle \{|e_{i}\rangle \}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b08f637f99ff23a4f4b94201df459de10674d1d0 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}a|e_{1}\rangle =a_{11}|e_{1}\rangle +a_{21}|e_{2}\rangle +\cdots \\a|e_{2}\rangle =a_{12}|e_{1}\rangle +a_{22}|e_{2}\rangle +\cdots \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/430dc8218103623874ebf3f3b23bb783691563fe height: height attribute not set width: width attribute not set description: {\displaystyle a_{11}=\langle e_{1}|a|e_{1}\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35df1dc75ee1451b7d77e39f1ccd90d1e4f448ae height: height attribute not set width: width attribute not set description: {\displaystyle \langle e_{i}|a|e_{j}\rangle =a_{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e height: height attribute not set width: width attribute not set description: {\displaystyle \varphi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0bf54101106c0fbe6cd7d6b3032bc6b3a8f1a91 height: height attribute not set width: width attribute not set description: {\displaystyle \langle \psi |a|\varphi \rangle =\sum _{i,j}\langle \psi |e_{i}\rangle \langle e_{i}|a|e_{j}\rangle \langle e_{j}|\varphi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/098aff4cda2e9087e8e72b221463625483ff44fb height: height attribute not set width: width attribute not set description: {\displaystyle a|\varphi \rangle =\sum _{i,j}|e_{i}\rangle \langle e_{i}|a|e_{j}\rangle \langle e_{j}|\varphi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f9d5860b5642f509f523b60ca91b03cb6ed9aa0d height: height attribute not set width: width attribute not set description: {\displaystyle \langle \psi |a=\sum _{i,j}\langle \psi |e_{i}\rangle \langle e_{i}|a|e_{j}\rangle \langle e_{j}|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/59d2b4cb72e304526cf5b5887147729ea259da78 height: height attribute not set width: width attribute not set description: {\displaystyle n\times n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c233da3c60599df4049a8c4526833f98e97fbbce height: height attribute not set width: width attribute not set description: {\displaystyle a={\begin{pmatrix}\langle e_{1}|a|e_{1}\rangle &\langle e_{1}|a|e_{2}\rangle &\cdots \\\langle e_{2}|a|e_{1}\rangle &\langle e_{2}|a|e_{2}\rangle &\cdots \\\vdots &\vdots &\ddots \end{pmatrix}}={\begin{pmatrix}a_{11}&a_{12}&\cdots \\a_{21}&a_{22}&\cdots \\\vdots &\vdots &\ddots \end{pmatrix}}=(a_{ij})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8b91988c69588106411f9e993c7a829741b4c6c4 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle \psi |a|\varphi \right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/89cf1bf649709176ce2f07a78ffd12de5228bc08 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle e_{i}|a|e_{j}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebdc3a9cb1583d3204eff8918b558c293e0d2cf3 height: height attribute not set width: width attribute not set description: {\displaystyle e_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/64afd228cf00e5024b9cdd277462d24ab97b6d3e height: height attribute not set width: width attribute not set description: {\displaystyle e_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/602b9ba58083cf7a3c691fc10c86ecd6ca144483 height: height attribute not set width: width attribute not set description: {\displaystyle \langle \psi |i|\varphi \rangle =\langle \psi |\varphi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/692b8e9f91b6cf623c6408c1140300146e0957c9 height: height attribute not set width: width attribute not set description: {\displaystyle \sum _{i}|e_{i}\rangle \langle e_{i}|=i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2da02ac258140129610349a20a594c5d9d4f92eb height: height attribute not set width: width attribute not set description: {\displaystyle a(|\alpha \rangle +|\beta \rangle )=a|\alpha \rangle +a|\beta \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c410e9d86d11ad5ce03d479721070b61dd0127ce height: height attribute not set width: width attribute not set description: {\displaystyle a(a|\alpha \rangle )=aa|\alpha \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7e29a0b89531eb257c915bdafdabad58987f56f8 height: height attribute not set width: width attribute not set description: {\displaystyle c=b\cdot a} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/388a737578e027b3bb9be62060336a3a42fa07df height: height attribute not set width: width attribute not set description: {\displaystyle \langle \psi |c|\varphi \rangle =\sum _{i}\langle \psi |b|e_{i}\rangle \langle e_{i}|a|\varphi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9377a4431bc99c85858f1aa8c4be4e37abd763a2 height: height attribute not set width: width attribute not set description: {\displaystyle \langle e_{j}|c|e_{k}\rangle =\sum _{i}\langle e_{j}|b|e_{i}\rangle \langle e_{i}|a|e_{k}\rangle =c_{jk}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ca965cedba44d6f2aa5d7250bd0a824d462d537 height: height attribute not set width: width attribute not set description: {\displaystyle c_{jk}=\sum _{i=1}^{n}a_{ij}\cdot b_{ki}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ad5fa174966b9c7e4206ebff84e1bcd1205bb2d height: height attribute not set width: width attribute not set description: {\displaystyle a\cdot b\neq b\cdot a} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5c57367dd6141aa373c2181334866a62979dd94d height: height attribute not set width: width attribute not set description: {\displaystyle a={\begin{pmatrix}a_{11}&a_{12}&\dots &a_{1n}\\a_{21}&a_{22}&\dots &a_{2n}\\\vdots &\vdots &\ddots &\vdots \\a_{n1}&a_{n2}&\dots &a_{nn}\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5ae635fa39508d591d865d213e0a425850fcac7 height: height attribute not set width: width attribute not set description: {\displaystyle a^{t}={\begin{pmatrix}a_{11}&a_{21}&\dots &a_{n1}\\a_{12}&a_{22}&\dots &a_{n2}\\\vdots &\vdots &\ddots &\vdots \\a_{1n}&a_{2n}&\dots &a_{nn}\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56e9814bd7bfa7b64baaa8f9406c5dbda65a2455 height: height attribute not set width: width attribute not set description: {\displaystyle a=a^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/61cb347027106880a8d192099b51fb9bd70551ae height: height attribute not set width: width attribute not set description: {\displaystyle a=-a^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e93a5973601950f8286d1cc8d7b628c73bc7618 height: height attribute not set width: width attribute not set description: {\displaystyle (a\cdot b)^{t}=b^{t}\cdot a^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d1d3c91f43e46f4cca298dc619137028ffa6e21c height: height attribute not set width: width attribute not set description: {\displaystyle a^{*}={\begin{pmatrix}a_{11}^{*}&a_{12}^{*}&\dots &a_{1n}^{*}\\a_{21}^{*}&a_{22}^{*}&\dots &a_{2n}^{*}\\\vdots &\vdots &\ddots &\vdots \\a_{n1}^{*}&a_{n2}^{*}&\dots &a_{nn}^{*}\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f737c2418b81620e8118c3de35b2392e3eb4498a height: height attribute not set width: width attribute not set description: {\displaystyle a=a^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a5bfa85e9c8a03958f62afaf57d4b387a710f734 height: height attribute not set width: width attribute not set description: {\displaystyle a=-a^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc2b1b6e492ce025c87da89cc52554e4444fcaa6 height: height attribute not set width: width attribute not set description: {\displaystyle a^{\dagger }=(a^{t})^{*}=(a^{*})^{t}={\begin{pmatrix}a_{11}^{*}&a_{21}^{*}&\dots &a_{n1}^{*}\\a_{12}^{*}&a_{22}^{*}&\dots &a_{n2}^{*}\\\vdots &\vdots &\ddots &\vdots \\a_{1n}^{*}&a_{2n}^{*}&\dots &a_{nn}^{*}\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5b0172f64d4ec7fe8a6b02d03eee5d19a930597e height: height attribute not set width: width attribute not set description: {\displaystyle a=a^{\dagger }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/50f744467d33e1128308b4c5e88d4924fdf627ae height: height attribute not set width: width attribute not set description: {\displaystyle a=-a^{\dagger }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/047f1e7ed0bda3d2ee739474cf6597b13970e474 height: height attribute not set width: width attribute not set description: {\displaystyle (a\cdot b)^{\dagger }=b^{\dagger }\cdot a^{\dagger }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83ba3a7118652cffd5de466dc439ee9184371d50 height: height attribute not set width: width attribute not set description: {\displaystyle a^{-1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ba2c3be2d7186bde6decaca8bd5dd0f7e3b7f67 height: height attribute not set width: width attribute not set description: {\displaystyle a\cdot a^{-1}=a^{-1}\cdot a=i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c2efa712e3359ef0be649743d2d1a2ffbf80bbaa height: height attribute not set width: width attribute not set description: {\displaystyle a^{-1}={\frac {|c|}{\det a}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9f9114ede7c5dd63e8b1cbd051e11d343b233f4 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/8272b28f5aae6dbb8d6f829d58bab353b21bde20 height: height attribute not set width: width attribute not set description: {\displaystyle a_{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/04d01ed87e0032d2a8f1fc3468f60589795d2ab6 height: height attribute not set width: width attribute not set description: {\displaystyle (a\cdot b)^{-1}=b^{-1}\cdot a^{-1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c16d66bb3569d60d40ed39dbb68917d2edcd4b10 height: height attribute not set width: width attribute not set description: {\displaystyle a^{-1}=a^{\dagger }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0c88fa5fa59929052ccc91560d8205ec4f1a1737 height: height attribute not set width: width attribute not set description: {\displaystyle \{|f_{i}\rangle \}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47f03956da98338a5ff534bc65d5bc22e49669ac height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}|e_{1}\rangle &=s_{11}|f_{1}\rangle +s_{21}|f_{2}\rangle +\dots +s_{n1}|f_{n}\rangle \\|e_{2}\rangle &=s_{12}|f_{1}\rangle +s_{22}|f_{2}\rangle +\dots +s_{n2}|f_{n}\rangle \\\vdots \\|e_{n}\rangle &=s_{1n}|f_{1}\rangle +s_{2n}|f_{2}\rangle +\dots +s_{nn}|f_{n}\rangle \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c04ca10fddb9a55c7ae2975962e0816dbd344f1 height: height attribute not set width: width attribute not set description: {\displaystyle s_{ji}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4f2ea4b67a93517e7f7890786d63d15e24756893 height: height attribute not set width: width attribute not set description: {\displaystyle |e_{j}\rangle =\sum _{i=1}^{n}s_{ij}|f_{i}\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/79bffd79a215d87bc58384471b998f8a09597134 height: height attribute not set width: width attribute not set description: {\displaystyle |\alpha \rangle \langle \beta |} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/701bb960e5dc0287d302a9128f438ea7f5823428 height: height attribute not set width: width attribute not set description: {\displaystyle |\alpha \rangle \langle \beta |={\begin{pmatrix}\langle e_{1}|\alpha \rangle \langle e_{1}|\beta \rangle ^{*}&\langle e_{1}|\alpha \rangle \langle e_{2}|\beta \rangle ^{*}&\cdots \\\langle e_{2}|\alpha \rangle \langle e_{1}|\beta \rangle ^{*}&\langle e_{2}|\alpha \rangle \langle e_{2}|\beta \rangle ^{*}&\cdots \\\vdots &\vdots &\ddots \end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6f39109e5dd0d63a152bd539e71a233b78e23eb5 height: height attribute not set width: width attribute not set description: {\displaystyle |+\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7da62e696eae51c2d89944b647e24b41cafb2f1e height: height attribute not set width: width attribute not set description: {\displaystyle |-\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5b07bb31947069b4c1546be92a9adb5c9eeddfc0 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle i|a|j\right\rangle =\left({\begin{matrix}{\langle +|a|+\rangle },{\langle +|a|-\rangle }\\{\langle -|a|+\rangle },{\langle -|a|-\rangle }\\\end{matrix}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a9b7582f7046692d0586eb828d047ef140df39c3 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle i|u(t_{1},t_{2})|j\right\rangle =\left({\begin{matrix}{\langle +|u(t_{1},t_{2})|+\rangle },{\langle +|u(t_{1},t_{2})|-\rangle }\\{\langle -|u(t_{1},t_{2})|+\rangle },{\langle -|u(t_{1},t_{2})|-\rangle }\\\end{matrix}}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0fc515c912925128800226dd0b017be508069e24 height: height attribute not set width: width attribute not set description: {\displaystyle (\cdot ,\cdot )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fc935233bd00796f06e499cc016a5e2eb8b903a height: height attribute not set width: width attribute not set description: {\displaystyle h\in {\mathcal {h}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/379b460443367f26ef1fb971a0f51898f8931a77 height: height attribute not set width: width attribute not set description: {\displaystyle |h\rangle \in {\mathcal {h}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f573e3a114718efc31110df5f05e49700901ed1b height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {h}}^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68c548ca086f9a3b6ca4ea4139be9728acb04c77 height: height attribute not set width: width attribute not set description: {\displaystyle j:{\mathcal {h}}\rightarrow {\mathcal {h}}^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b397565c3f5c3bd175cb66df4f1d36cf901b171 height: height attribute not set width: width attribute not set description: {\displaystyle \phi \in {\mathcal {h}}^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9dbc4cda09b3918a41b4ab62d2a14054424bbd6 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (h)=(h,g)\quad \forall h\in {\mathcal {h}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6f922fae383664537cf0bf42594964e069afcd7a height: height attribute not set width: width attribute not set description: {\displaystyle g\in {\mathcal {h}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c24ad533d4662fd5f97ce4965b079b74fd9a8e89 height: height attribute not set width: width attribute not set description: {\displaystyle \phi =\phi _{g}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/669eee188166c0364cfc535677417762432436c6 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{h}\in {\mathcal {h}}^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be9f90ed20a16478ff98e69dc0121a26ea886471 height: height attribute not set width: width attribute not set description: {\displaystyle \langle h|\in {\mathcal {h}}^{*}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/360f7c15b2203c27c7b7a67fcee72cc9ec9527a1 height: height attribute not set width: width attribute not set description: {\displaystyle \langle h|g\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/16afc224eaef45a33e0a707f4c1ddca94e35d697 height: height attribute not set width: width attribute not set description: {\displaystyle (\phi _{h},g)=\phi _{h}(g)=(h,g)} |
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