en.wikipedia.org website review
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en.wikipedia.org is 57% geoptimaliseerd!
SEO Keyword summary for en.wikipedia.org/wiki/plastic_ratio
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle rho ratio |
long Tail Keywords (2 words) plastic ratio der laan displaystyle rho laan sequence 2 3 |
long Tail Keywords (3 words) der laan sequence move to sidebar create account log so that we two sizes so 1cfrac 1sqrt 1cfrac expressed in terms |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/plastic_ratio 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
plastic ratio wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
wikipedia free encyclopedia displaystyle frac abfrac bcafrac rho arho cland implies left sqrt right cosh leftfrac operatorname arcosh rightright xgets tfrac cfrac ddots xrho leftrho isqrt varphi cdots sum infty beginalignedrho nrho endaligned xbry quad approx mxx delta kmathbb tau epi eta mathfrak fsqrt jtau leftsqrt krlambda lambda sinarcsin vnvn vnvm vnxn vnsum klfloor rfloor lfloor choose alpha beta gamma aalpha nbbeta ncgamma leftvert bbeta nrightvert abc ppequiv bmod nmid qbeginpmatrix endpmatrix qnbeginpmatrixvnvn wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/plastic_ratio
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/plastic_ratio
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
plastic found in path !
ratio 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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oeis.org a060006
a182097
a112882
a001608
a000931
a013998
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w view history
httpsenwikipediaorgwindexphptitleplasticratiooldid1222513468
page information
printable version
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wiki read
proportion
solution
hyperbolic cosine
root
fixed point
conjugate elements
golden ratio
continued radical
geometric series
bring radical
continued fraction
pisot number
absolute value
almost integers
phases
minimal polynomial
discriminant
hilbert class field
quadratic field
ring of integers
dedekind eta
weberramanujan class invariant gn
klein jinvariant
elliptic integral singular value
eccentricity
harmonic mean
benedictine monk
laan van der hans
perrin
padovan sequences
compositions
recurrence relation
generating function
binomial coefficients
characteristic equation
binet formula
perrin sequence
fermat property
pseudoprimes
matrix
eigenvalue
trace
routhhurwitz theorem
circumradius
snub icosidodecadodecahedron
axel thue
g h hardy
french
dutch
carl siegel
pisotvijayaraghavan number
silver ratio
padovan richard
st benedictusberg abbey
gazal midhat j
gardner martin
metallic means
spinadel vera w de
donald knuth
pari
supergolden ratio
sloane nja
nieuw archief voor wiskunde
weisstein eric w
mathworld
shanks daniel
jstor
bibcode
stewart ian
szekeres g
discrete computational geometry
s2cid
eck caroline van
architectural histories
harriss edmund
brady haran
irrational numbers
chaitins
liouville
prime
omega
cahen
logarithm of 2
gausss
twelfth root of 2
aprys
cube root of 2
square root of 2
erdsborwein
square root of 3
supersilver ratio
square root of 5
square root of 6
square root of 7
eulers
pi
schizophrenic
transcendental
trigonometric
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Links to external pages
Outloing links
ca.wikipedia.org
de.wikipedia.org
es.wikipedia.org
fr.wikipedia.org
ko.wikipedia.org
it.wikipedia.org
he.wikipedia.org
nl.wikipedia.org
ja.wikipedia.org
uz.wikipedia.org
pl.wikipedia.org
pt.wikipedia.org
ru.wikipedia.org
th.wikipedia.org
uk.wikipedia.org
zh.wikipedia.org
www.wikidata.org
www.wikidata.org
commons.wikimedia.org
fr.wikipedia.org
www.oeis.org
www.youtube.com
www.nieuwarchief.nl
mathreview.uwaterloo.ca
de.wikipedia.org
www.domhansvanderlaan.nl
www.doi.org
www.jstor.org
web.archive.org
www.doi.org
members.fortunecity.com
ui.adsabs.harvard.edu
www.doi.org
www.heldermann-verlag.de
mathscinet.ams.org
www.doi.org
mathscinet.ams.org
mathworld.wolfram.com
www.doi.org
api.semanticscholar.org
www.nexusjournal.com
journal.eahn.org
www.youtube.com
www.ghostarchive.org
foundation.wikimedia.org
foundation.wikimedia.org
foundation.wikimedia.org
www.wikimediafoundation.org
SEO Advice for en.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
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 | 87% | A title should reflect the contents of a site. This site has a 67 % match | |
Title Length | 30% | Limit your title to anywhere between 40 and 70 characters. Your title was 26 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 169 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 4 level 1 folders and 7 folders above or in the first level of navigation. | |
Headings | 48% | Headers should reflect the contents of a site. This site has a 21 % match | |
Links | 12% | Link anchors should to some degree reflect the contents of a site. This site has a 6 % 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 | 30% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 10 % 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 | 92% | 92.105263157895 % 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 2823 words | |
Server response time | 30% | A slow server slows down a website. This server responds 16.45% slower the 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 243 inline style declarations ( <a style="color:green">) with a size of 8261 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). |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
en.wikipedia.org images and descriptions
105 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.
http://en.wikipedia.org/static/images/icons/wikipedia.png height: 50 width: 50 description: no alt description found |
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http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-wordmark-en.svg height: height attribute not set width: width attribute not set description: wikipedia |
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http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-tagline-en.svg height: 13 width: 117 description: the free encyclopedia |
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https://upload.wikimedia.org/wikipedia/commons/thumb/1/19/triangles_in_ratio_of_the_plastic_number_in_a_three_armed_counter_clockwise_spiral.svg/220px-triangles_in_ratio_of_the_plastic_number_in_a_three_armed_counter_clockwise_spiral.svg.png height: 209 width: 220 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/d/d2/plastic_number_square_spiral.svg/260px-plastic_number_square_spiral.svg.png height: 196 width: 260 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ae3f23f76f614ab4dc47bfc296699c2be740666 height: height attribute not set width: width attribute not set description: {\displaystyle \rho .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/328489c87788812db347d1cf8e235d6240278288 height: height attribute not set width: width attribute not set description: {\displaystyle a=\rho \,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9d1afad98711cf1521d05b31a1e0b04a2eebda8 height: height attribute not set width: width attribute not set description: {\displaystyle \,b=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e726b51ccbe35f9d3a10dc68a72b571c9436d32b height: height attribute not set width: width attribute not set description: {\displaystyle \rho ^{2}=1+c\,\land \,\rho =1/c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7a17120cdc85b71af940d04bc2a0b7be5b3ae876 height: height attribute not set width: width attribute not set description: {\displaystyle \implies \rho ^{2}-1=\rho ^{-1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a99ca2125ae2344625d19a9d925793662f674404 height: height attribute not set width: width attribute not set description: {\displaystyle 1.324\,717\,957\,244\,746...} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4bb370912fd20deacebec7a064688ab4e88f9ed0 height: height attribute not set width: width attribute not set description: {\displaystyle w_{1,2}=\left(1\pm {\frac {1}{3}}{\sqrt {\frac {23}{3}}}\right)/2} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5af123af3027af4433f6998829477325d9d45d1f height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\sqrt[{3}]{w_{1}}}+{\sqrt[{3}]{w_{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/029c56c7606a97158c689c76fc4210a1363e9014 height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\frac {2}{\sqrt {3}}}\cosh \left({\frac {1}{3}}\operatorname {arcosh} \left({\frac {3{\sqrt {3}}}{2}}\right)\right).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ddb63e0c28b6b9de8829b2aa8744cff7b4473a8 height: height attribute not set width: width attribute not set description: {\displaystyle x\gets {\sqrt {1+{\tfrac {1}{x}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0fa65123eda4efe4577f20f38f36efbb61d3f17f height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}-x-1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc6b79f45d30dea7dd634348aef2bd78eecae0d0 height: height attribute not set width: width attribute not set description: {\displaystyle x-\rho } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4c604d3f122fe78ca62744ba84a7f44d5a662729 height: height attribute not set width: width attribute not set description: {\displaystyle x^{2}+\rho x+1/\rho } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/636829b7a2ee449a412ada899b5719bbdf2be6d1 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1,2}=\left(-\rho \pm i{\sqrt {3\rho ^{2}-4}}\right)/2} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/6/66/plasticsquare_6.png/280px-plasticsquare_6.png height: 280 width: 280 description: no alt description found |
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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/fc4d3c65c7eb797ae6d07d584b462b16b5db692c height: height attribute not set width: width attribute not set description: {\displaystyle x+1=x^{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fceec88c750382b7545f5abfc3f39f840650dcb4 height: height attribute not set width: width attribute not set description: {\displaystyle x-1=x^{-n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/69a23f5678673aa580603778df1fdf96241ac64d height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\sqrt[{3}]{1+{\sqrt[{3}]{1+{\sqrt[{3}]{1+\cdots }}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f6906034505de22882eba7abdad5006ee1eeeb81 height: height attribute not set width: width attribute not set description: {\displaystyle \varphi ={\sqrt {1+{\sqrt {1+{\sqrt {1+\cdots }}}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8271602a66e5a5b3a01c7c4d6f23ab837773272d height: height attribute not set width: width attribute not set description: {\displaystyle \rho =\sum _{n=0}^{\infty }\rho ^{-5n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4b14adc05199e7a66fb7d657a06c96e792ed1436 height: height attribute not set width: width attribute not set description: {\displaystyle \,\rho ^{2}=\sum _{n=0}^{\infty }\rho ^{-3n},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1fe429c16565621a66127d2056e3e31fa4ceaf2c height: height attribute not set width: width attribute not set description: {\displaystyle \varphi =\sum _{n=0}^{\infty }\varphi ^{-2n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a0038ed6d78ce6839c011f72f528b4a40446431f height: height attribute not set width: width attribute not set description: {\displaystyle 1+\varphi ^{-1}+\varphi ^{-2}=2} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d04e0aa56fdd9c1caa6958bd64243c5b6ede5f1e height: height attribute not set width: width attribute not set description: {\displaystyle \sum _{n=0}^{13}\rho ^{-n}=4.} |
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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/c00819400adc03507defa99cd178cc79d92430e4 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\rho ^{n}&=\rho ^{n-2}+\rho ^{n-3}\\&=\rho ^{n-1}+\rho ^{n-5}\\&=\rho ^{n-3}+\rho ^{n-4}+\rho ^{n-5}.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9ba05f4ce70616d5ada0c8324f33a85131a4098e height: height attribute not set width: width attribute not set description: {\displaystyle x=br(y)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8f7fb2a32a2ba0fedb9c43118e650e22a74c3a0b height: height attribute not set width: width attribute not set description: {\displaystyle \rho ^{-5}+\rho ^{-1}=1,\quad \rho =1/br(1).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cbd7fc015b6af44c6b00e6af8a3f172f32ced18e height: height attribute not set width: width attribute not set description: {\displaystyle \rho ^{-1}=[0;1,3,12,1,1,3,2,3,2,...]\approx 0.7549} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/34671b329242ecde495cc8c291ca34077bf9656a height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{0}=[1]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0783889c28fd45edb71c5d3a6ab0b78b7bcf191e height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{1}=[1;3,12,1,1,3,2,3,2,4,...]\approx 1.3247} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8d0af90ad701a3e5b0b063b094b0cde27a78db0f height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{2}=[1;1,3,12,1,1,3,2,3,2,...]\approx 1.7549} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2d10db878701ef2ff0aecf216b20e5bd48475422 height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{3}=[2;3,12,1,1,3,2,3,2,4,...]\approx 2.3247} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e28bc900a12ec947e2458bd6bf450f011ae7fea height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{4}=[3;12,1,1,3,2,3,2,4,2,...]\approx 3.0796} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5e08b39f7933e8b755840989e9a5ab913985ab62 height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{5}=[4;12,1,1,3,2,3,2,4,2,...]\approx 4.0796} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e4549172dc5c89cce1557985bd020ece361951f height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{7}=[7;6,3,1,1,4,1,1,2,1,1,...]\approx 7.1592} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c2ed0cb86963afb20a44e29ad48ec6e018729c3b height: height attribute not set width: width attribute not set description: {\displaystyle \ \rho ^{9}=[12;1,1,3,2,3,2,4,2,141,...]\approx 12.5635} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a40d33f42895613654b14b5ed5b6f6e68a3a4e80 height: height attribute not set width: width attribute not set description: {\displaystyle 1/{\sqrt {\rho }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7d486ba857b04b4f2395f52dfdc11f2cbd08f4f9 height: height attribute not set width: width attribute not set description: {\displaystyle \rho ^{29}=3480.0002874...\approx 3480+1/3479} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bf5be78030222a0a5a9f1f63c0488ecca5d1dd52 height: height attribute not set width: width attribute not set description: {\displaystyle \pm 45\pi /58} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b91e96eacbef4aa3cc4b7eaac27fd4872aebd6c1 height: height attribute not set width: width attribute not set description: {\displaystyle m(x)=x^{3}-x-1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c93206f5912fb1e5369ca369effa4c3a4a7e6237 height: height attribute not set width: width attribute not set description: {\displaystyle \delta =-23} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/793e1d70ceb7d883a55e34586d1a2e3990fbe934 height: height attribute not set width: width attribute not set description: {\displaystyle k=\mathbb {q} ({\sqrt {\delta }})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9173928a0685eba23f221e758cd93e0754888c1 height: height attribute not set width: width attribute not set description: {\displaystyle \tau =(1+{\sqrt {\delta }})/2\,} |
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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/08d6c74e6a3e447c2b761ecfd336a0a219810962 height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\frac {e^{\pi i/24}\,\eta (\tau )}{{\sqrt {2}}\,\eta (2\tau )}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/abe26bd1400d2ccbc804a2d85756babd4083a8ba height: height attribute not set width: width attribute not set description: {\displaystyle \rho ={\frac {{\mathfrak {f}}({\sqrt {\delta }})}{\sqrt {2}}}={\frac {g_{23}}{\sqrt[{4}]{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e748f54b6308e2ffbcc2b3fc23d0c81b25c8d77 height: height attribute not set width: width attribute not set description: {\displaystyle j(\tau )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8eea7f40329fca36d4879b140822cf313a22cc3c height: height attribute not set width: width attribute not set description: {\displaystyle e^{\pi {\sqrt {-\delta }}}\approx \left({\sqrt {2}}\,\rho \right)^{24}-24} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/929b984c842823cf455c765a9a1e0945669aa5e6 height: height attribute not set width: width attribute not set description: {\displaystyle k_{r}=\lambda ^{*}(r)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e419ebc249eb6319056c8119e6155cc350688423 height: height attribute not set width: width attribute not set description: {\displaystyle r=23} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/33be641cb1998634dcad48ab2e890ada533a32d2 height: height attribute not set width: width attribute not set description: {\displaystyle \lambda ^{*}(23)=\sin(\arcsin \left(({\sqrt[{4}]{2}}\,\rho )^{-12}\right)/2)} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/fb/nombre_plastique2.svg/350px-nombre_plastique2.svg.png height: 143 width: 350 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/78d54ce1dbc188a20c40f272b6657b19ac1b6961 height: height attribute not set width: width attribute not set description: {\displaystyle v_{n}=v_{n-2}+v_{n-3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/69ab53d8da3f2726b43582393016a65c919f30aa height: height attribute not set width: width attribute not set description: {\displaystyle v_{1}=0,v_{0}=v_{2}=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/23e4ad6d68216dc8a92578e9e255f6ee399cb790 height: height attribute not set width: width attribute not set description: {\displaystyle v_{n}/v_{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/747e90a5f9f9cca0041c0990c05783e8a93c8b31 height: height attribute not set width: width attribute not set description: {\displaystyle (\rho ^{k})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3ebc5a637019ce3415183f06995aeeca93547767 height: height attribute not set width: width attribute not set description: {\displaystyle v_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5c97e63cd83e5995c0decffadb900434932494e7 height: height attribute not set width: width attribute not set description: {\displaystyle v_{n}=v_{n+3}-v_{n+1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/54d98a5de7e77041c99a064997968896fef65d01 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{1-x^{2}-x^{3}}}=\sum _{n=0}^{\infty }v_{n}x^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8d19c39cc653572e373bb1011c7bbdf0ed0f96f6 height: height attribute not set width: width attribute not set description: {\displaystyle x<1/\rho } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d34924daf52b59cfacff62359a40e00f3c5a00cb height: height attribute not set width: width attribute not set description: {\displaystyle v_{n}=\sum _{k=\lfloor (n+2)/3\rfloor }^{\lfloor n/2\rfloor }{k \choose n-2k}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9d6252aae67d8cbef45e447935787debdf0455c4 height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}-x-1=0} |
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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/a223c880b0ce3da8f64ee33c4f0010beee400b1a 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/d8c9963f0fcd0df9a30a0eecc3d56e1da6dcb6d3 height: height attribute not set width: width attribute not set description: {\displaystyle v_{n-1}=a\alpha ^{n}+b\beta ^{n}+c\gamma ^{n}} |
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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/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/5fa5aaccbb287f53d1e9a3cb30d9085d57376927 height: height attribute not set width: width attribute not set description: {\displaystyle 23x^{3}+x-1=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bfffa5cf23d3dd8bff70040fd3dbbda90be4ddaa height: height attribute not set width: width attribute not set description: {\displaystyle \left\vert b\beta ^{n}+c\gamma ^{n}\right\vert <1/{\sqrt {\alpha ^{n}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/abacc9d7b7038606f3bb6eb1b5dfc2a100f5f231 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha =\rho } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ca9f04484a2c0c53edb2561623716fb9134d826 height: height attribute not set width: width attribute not set description: {\displaystyle a\,\rho ^{n+1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f0a73819c213b67563e10f18a66b8350e0501e19 height: height attribute not set width: width attribute not set description: {\displaystyle a=\rho /(3\rho ^{2}-1)=} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2d8b350715922395f5781625084960c0c451e29b height: height attribute not set width: width attribute not set description: {\displaystyle a=b=c=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4f856c6bb2ba3d6054d8cc1372af9de898340c14 height: height attribute not set width: width attribute not set description: {\displaystyle p_{n}=2v_{n}+v_{n-3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/38c1f7934988d83b5fd4db542dc2823ba646b049 height: height attribute not set width: width attribute not set description: {\displaystyle p_{p}\equiv p_{1}{\bmod {p}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ec684ab1625567a6d468ef5b66293f78493ba723 height: height attribute not set width: width attribute not set description: {\displaystyle \,n\mid p_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d4b91e47734d8bb531b955b7afe1367c2c0d54a height: height attribute not set width: width attribute not set description: {\displaystyle q={\begin{pmatrix}0&1&1\\1&0&0\\0&1&0\end{pmatrix}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b2271e2074734befac73785ede2793ab57be7ad3 height: height attribute not set width: width attribute not set description: {\displaystyle q^{n}={\begin{pmatrix}v_{n}&v_{n+1}&v_{n-1}\\v_{n-1}&v_{n}&v_{n-2}\\v_{n-2}&v_{n-1}&v_{n-3}\end{pmatrix}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5da2f2952f8145669909f96e7f344e533b1e9a92 height: height attribute not set width: width attribute not set description: {\displaystyle q^{n}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/4/48/plastic_square_partitions.svg/330px-plastic_square_partitions.svg.png height: 100 width: 330 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b36598d7bea3fefa9d8584aae24e4a1daf688fe height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{2}}{\sqrt {\frac {2\rho -1}{\rho -1}}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/0/0d/interieur_bovenkerk%2c_zicht_op_de_middenbeuk_met_koorbanken_voor_de_monniken_-_mamelis_-_20536587_-_rce.jpg/280px-interieur_bovenkerk%2c_zicht_op_de_middenbeuk_met_koorbanken_voor_de_monniken_-_mamelis_-_20536587_-_rce.jpg height: 208 width: 280 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0345ddb11d4101e841917b7a75f926704e633e5d height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}=x+1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f05f1f6f113f4a1ae6c6e425c7cc3113de458980 height: height attribute not set width: width attribute not set description: {\displaystyle x^{2}=x+1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cab1579a96db79d879b29b8c893eaea62f2a8e4e height: height attribute not set width: width attribute not set description: {\displaystyle x^{3}=x^{2}+1} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/c/c2/gold%2c_square_root_of_2%2c_and_square_root_of_3_rectangles.svg/50px-gold%2c_square_root_of_2%2c_and_square_root_of_3_rectangles.svg.png height: 90 width: 50 description: no alt description found |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.png height: 31 width: 88 description: wikimedia foundation |
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