en.wikipedia.org website review
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SEO Keyword summary for en.wikipedia.org/wiki/arithmetic_progression
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 arithmetic frac |
long Tail Keywords (2 words) arithmetic progression 1 1 1 2 arithmetic series arithmetic progressions |
long Tail Keywords (3 words) 1 1 1 move to sidebar infinite arithmetic progressions finite arithmetic progression 16 16 16 subsets of length progression is called |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/arithmetic_progression 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
arithmetic progression 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 ana tfrac frac times leftfrac rightleftfrac rightfrac right snaa dots snaada ddots dan snan dada snfrac beginalignedsnfrac aan dfrac aanfrac textinitial termtextlast termendaligned snn overline afrac cdots dprod kddnfrac gamma dnrightgamma dright mtimes beginaligneda anprod kdprod dleftfrac dkrightdleftfrac drightdleftfrac rightdleftfrac rightcdots rightdnprod dkrightdnleftfrac drightoverline nendaligned xoverline zgamma zmgamma zprod prod dkrightfrac andnprod dkrightdnfrac ldots cdot left rightgamma rightapprox sigma dsqrt ank phi eta kappa begincases textif mid leftlefteta textmod rightleftkappa lefteta rightrighttextif not endcases beginalignedankfrac leftn rightendaligned textstyle fibonacci spiral square sizes edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/arithmetic_progression
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/arithmetic_progression
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
arithmetic found in path !
progression 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 httpsenwikipediaorgwindexphptitlearithmeticprogressionoldid1248115126
page information
printable version
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wiki proof without words
sequences
numbers
sum
carl friedrich gauss
archimedes
hypsicles
diophantus
zhang qiujian
aryabhata
brahmagupta
bhaskara ii
alcuin
dicuil
fibonacci
sacrobosco
talmud
tosafists
pythagoreans
discrete uniform distribution
product
gamma function
factorial
positive integers
rising factorial
complex number
intersection
chinese remainder theorem
helly family
geometric progression
harmonic progression
triangular number
arithmeticogeometric sequence
inequality of arithmetic and geometric means
primes in arithmetic progression
linear difference equation
generalized arithmetic progression
heronian triangles with sides in arithmetic progression
problems involving arithmetic progressions
utonality
polynomials calculating sums of powers of arithmetic progressions
american scientist
isbn
grtschel m
encyclopedia of mathematics
ems press
weisstein eric w
mathworld
series
integer sequences
square number
cubic number
powers of two
powers of three
powers of 10
complete sequence
figurate number
heptagonal number
hexagonal number
lucas number
pell number
pentagonal number
polygonal number
array
cauchy sequence
monotonic function
periodic sequence
alternating
convergent
divergent
telescoping
absolute
conditional
uniform
12 14 18 116
14 116 164 1256
1 12s 13s riemann zeta function
1 1 1 1 grandis series
infinite arithmetic series
1 1 2 6 24 120 alternating factorials
1 12 13 14 harmonic series
12 13 15 17 111 inverses of primes
taylor series
power series
formal power series
laurent series
puiseux series
dirichlet series
trigonometric series
fourier series
generating series
hypergeometric series
generalized hypergeometric series
hypergeometric function of a matrix argument
lauricella hypergeometric series
modular hypergeometric series
riemanns differential equation
theta hypergeometric series
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Links to external pages
Outloing links
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www.americanscientist.org
www.doi.org
web.archive.org
books.google.com
www.jstor.org
www.doi.org
www.archive.org
www.archive.org
books.google.com
mathscinet.ams.org
books.google.com
www.encyclopediaofmath.org
mathworld.wolfram.com
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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.
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 | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 35 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 149 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 9 folders above or in the first level of navigation. | |
Headings | 69% | Headers should reflect the contents of a site. This site has a 30 % 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 | 48% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 16 % 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 | 93% | 92.857142857143 % 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 2255 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 94.35% 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 173 inline style declarations ( <a style="color:green">) with a size of 5278 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
63 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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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/c/c7/arithmetic_progression.svg/220px-arithmetic_progression.svg.png height: 293 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/790f9209748c2dca7ed7b81932c37c02af1dbc31 height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e5a0931b94c24968ee0a9dcd8708b9fcad7eeb4a height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}=a_{1}+(n-1)d.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/71cd41fc765ed6d699aa54d45e56247e80122645 height: height attribute not set width: width attribute not set description: {\displaystyle n=100} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f761abe02a5836f1a71931ee34252dbf28fd66fb height: height attribute not set width: width attribute not set description: {\displaystyle 2+5+8+11+14=40} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/451ac6091a7a5a30b17a50aec671425d45e166db height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {n(a_{1}+a_{n})}{2}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/befa3bf828e4ec7ac5973d92df0088decd95fe4a height: height attribute not set width: width attribute not set description: {\displaystyle \left(-{\frac {3}{2}}\right)+\left(-{\frac {1}{2}}\right)+{\frac {1}{2}}={\frac {3\left(-{\frac {3}{2}}+{\frac {1}{2}}\right)}{2}}=-{\frac {3}{2}}.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/2/28/animated_proof_for_the_formula_giving_the_sum_of_the_first_integers_1%2b2%2b...%2bn.gif/220px-animated_proof_for_the_formula_giving_the_sum_of_the_first_integers_1%2b2%2b...%2bn.gif height: 61 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/07a28c09ba45e4a81e212d0593a79d52e3cef9ab height: height attribute not set width: width attribute not set description: {\displaystyle s_{n}=a+(a+d)+(a+2d)+\dots +(a+(n-2)d)+(a+(n-1)d).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5623eb3a2ee603f741a2971ba17fe28149c61fec height: height attribute not set width: width attribute not set description: {\displaystyle s_{n}={\frac {n}{2}}[2a+(n-1)d].} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/52fc0b115eb3520322146fe69746f34caad8a589 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}s_{n}&={\frac {n}{2}}[a+a+(n-1)d].\\&={\frac {n}{2}}(a+a_{n}).\\&={\frac {n}{2}}({\text{initial term}}+{\text{last term}}).\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1700f9be7201eb91bcf92134675ac046176c02bc height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {a}}={\frac {a_{1}+a_{n}}{2}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1ab378eeed4413f133e486dd0caf0daf34e79daa height: height attribute not set width: width attribute not set description: {\displaystyle a_{1}a_{2}a_{3}\cdots a_{n}=a_{1}(a_{1}+d)(a_{1}+2d)...(a_{1}+(n-1)d)=\prod _{k=0}^{n-1}(a_{1}+kd)=d^{n}{\frac {\gamma \left({\frac {a_{1}}{d}}+n\right)}{\gamma \left({\frac {a_{1}}{d}}\right)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4cfde86a3f7ec967af9955d0988592f0693d2b19 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/4590bb2aeb968cc53295b063edc93564b8d141ea height: height attribute not set width: width attribute not set description: {\displaystyle a_{1}/d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/34d96a163fdae2275e516a6f9b22805b031563fc height: height attribute not set width: width attribute not set description: {\displaystyle 1\times 2\times \cdots \times n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bae971720be3cc9b8d82f4cdac89cb89877514a6 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/38fbedf57af4194c35698fd99f7fa46d7da07cfe height: height attribute not set width: width attribute not set description: {\displaystyle m\times (m+1)\times (m+2)\times \cdots \times (n-2)\times (n-1)\times n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc height: height attribute not set width: width attribute not set description: {\displaystyle m} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/00df4ea84961f2ffb29f49fc07a0a704d483e62b height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}a_{1}a_{2}a_{3}\cdots a_{n}&=\prod _{k=0}^{n-1}(a_{1}+kd)\\&=\prod _{k=0}^{n-1}d\left({\frac {a_{1}}{d}}+k\right)=d\left({\frac {a_{1}}{d}}\right)d\left({\frac {a_{1}}{d}}+1\right)d\left({\frac {a_{1}}{d}}+2\right)\cdots d\left({\frac {a_{1}}{d}}+(n-1)\right)\\&=d^{n}\prod _{k=0}^{n-1}\left({\frac {a_{1}}{d}}+k\right)=d^{n}{\left({\frac {a_{1}}{d}}\right)}^{\overline {n}}\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d88a3b3b77b4170a5925e649fd8a95e301a1231 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma (z+1)=z\gamma (z)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0f44149d6ef295968e2c1d391c2f98c1da9fca30 height: height attribute not set width: width attribute not set description: {\displaystyle z>0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/387526bd3cf90ffcd12cfc441cea873036230fcd height: height attribute not set width: width attribute not set description: {\displaystyle \gamma (z+2)=(z+1)\gamma (z+1)=(z+1)z\gamma (z)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b77bae5da64ba2140fe2210da2f62d03ebb80324 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma (z+3)=(z+2)\gamma (z+2)=(z+2)(z+1)z\gamma (z)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/739443280c0f812cefa3a09ce897147bf0a657a7 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\gamma (z+m)}{\gamma (z)}}=\prod _{k=0}^{m-1}(z+k)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bf368e72c009decd9b6686ee84a375632e11de98 height: height attribute not set width: width attribute not set description: {\displaystyle z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83ca8dbec2d28e8f2cc719a42025a286233a2716 height: height attribute not set width: width attribute not set description: {\displaystyle a_{1}/d>0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3a9d7705eb27e07e6068f8b2ea32fa0ce52cfb8 height: height attribute not set width: width attribute not set description: {\displaystyle \prod _{k=0}^{n-1}\left({\frac {a_{1}}{d}}+k\right)={\frac {\gamma \left({\frac {a_{1}}{d}}+n\right)}{\gamma \left({\frac {a_{1}}{d}}\right)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2a6b60f85e14d41ade0ba47c40829822e9a24234 height: height attribute not set width: width attribute not set description: {\displaystyle 3,8,13,18,23,28,\ldots } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/158f61957f6c7ae6ff6f21f5d8d5c86a13b69b6b height: height attribute not set width: width attribute not set description: {\displaystyle p_{50}=5^{50}\cdot {\frac {\gamma \left(3/5+50\right)}{\gamma \left(3/5\right)}}\approx 3.78438\times 10^{98}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dc5ff43e4ef101f6e32f252a272d435404cbbc53 height: height attribute not set width: width attribute not set description: {\displaystyle (1,3,5,7,9,11,13,15,17,19)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cb0cc3135406f82f5cc1f66b39d81ab46eaf1fd8 height: height attribute not set width: width attribute not set description: {\displaystyle 1\cdot 3\cdot 5\cdots 19=\prod _{k=0}^{9}(1+2k)=2^{10}\cdot {\frac {\gamma \left({\frac {1}{2}}+10\right)}{\gamma \left({\frac {1}{2}}\right)}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b04ebf088c363398202ae215b14bdc56818a181 height: height attribute not set width: width attribute not set description: {\displaystyle a(n,k)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bc50c82227da989f691d8bd184b5cfabde1ef4ee height: height attribute not set width: width attribute not set description: {\displaystyle \{1,\cdots ,n\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/83ca88dd2bc65bc21927471d6bf4023ba1c8c0f6 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (\eta ,\kappa )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b205747ab4840a5349dcd0852dfd3d8b5b630f6 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (\eta ,\kappa )={\begin{cases}0&{\text{if }}\kappa \mid \eta \\\left(\left[\eta \;({\text{mod }}\kappa )\right]-2\right)\left(\kappa -\left[\eta \;({\text{mod }}\kappa )\right]\right)&{\text{if }}\kappa \not \mid \eta \\\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39c408472bd20e2830d86efc2b5c8e923f51d215 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}a(n,k)&={\frac {1}{2(k-1)}}\left(n^{2}-(k-1)n+(k-2)+\phi (n+1,k-1)\right)\\&={\frac {1}{2(k-1)}}\left((n-1)(n-(k-2))+\phi (n+1,k-1)\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f9e8c4a124f433be254022c5c1207f5bd0990d24 height: height attribute not set width: width attribute not set description: {\textstyle (n,k)=(7,3)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fce38581505fb6336f61364e20c149ce79a9cc1b height: height attribute not set width: width attribute not set description: {\textstyle a(7,3)=9} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/853441d541c466023abbd2cfcc418d38d04e5b93 height: height attribute not set width: width attribute not set description: {\textstyle \{1,2,3\},\{2,3,4\},\{3,4,5\},\{4,5,6\},\{5,6,7\},\{1,3,5\},\{3,5,7\},\{2,4,6\},\{1,4,7\}.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/9/93/fibonacci_spiral_34.svg/80px-fibonacci_spiral_34.svg.png height: 51 width: 80 description: fibonacci spiral with square sizes up to 34. |
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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.svg height: 29 width: 84 description: wikimedia foundation |
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http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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