en.wikipedia.org website review
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en.wikipedia.org is 56% geoptimaliseerd!
SEO Keyword summary for en.wikipedia.org/wiki/granular_material
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 granular varepsilon |
long Tail Keywords (2 words) granular materials granular material granular matter e-lambda varepsilon leftlangle varepsilon |
long Tail Keywords (3 words) physics of granular move to sidebar modeling of granular left1-gamma dtrightleftlangle varepsilon physical review letters varepsilon rho varepsilon cdisplaystyle phi c |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/granular_material 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
granular material 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 icon displaystyle theta delta mtheta sigma kfrac rrsigma frac rzsigma pzpinfty expzlambda lambda ell alpha arctanfrac beta tantheta tgphi leq geq dot varepsilon tan ivarepsilon zin left right zleftvarepsilon jright zrightleftvarepsilon itdtbegincasesvarepsilon itprobability gamma dtzleftvarepsilon itvarepsilon jtrightprobabilitygamma dtendcases beginalignedleftlangle tdtrightrangle dtrightleftlangle trightrangle dtcdot leftlangle zrightrangle leftleftlangle irightrangle jrightrangle rightleft dfrac rightleftlangle endaligned rightrangle jvarepsilon rightendaligned dleftlangle dtlimdtrightarrow dtdfrac rightarrow rightefrac glambda elambda int infty rho dvarepsilon dgdlambda dngdlambda nleft rightnint nelambda nrightrangle itdtbegincaseselambda telambda jtrightgamma tendcases lefttdtrightrightrangle itrightrangle dtleftlangle jtrightrightrangle gleftlambda tdtrightleft dtrightgleftlambda trightgamma dtint underset ztunderbrace zvarepsilon jtrightrangle ddelta tefrac tcdot tint eleftlambda trightvarepsilon tleftlambda trighteleftlambda phi equiv edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/granular_material
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/granular_material
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
granular found in path !
material 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 view history
httpsenwikipediaorgwindexphptitlegranularmaterialoldid1235740304
page information
printable version
silo honking
a d wissnergross
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wiki read
condensed matter physics
phases
phase transition
states of matter
solids
liquids
gases
plasma
boseeinstein condensate
bose gas
fermionic condensate
fermi gas
fermi liquid
supersolid
superfluidity
luttinger liquid
time crystal
order parameter
electronic band structure
insulator
mott insulator
semiconductor
semimetal
conductor
superconductor
thermoelectric
piezoelectric
ferroelectric
topological insulator
spin gapless semiconductor
quantum hall effect
spin hall effect
kondo effect
diamagnet
superdiamagnet
paramagnet
superparamagnet
ferromagnet
antiferromagnet
metamagnet
spin glass
quasiparticles
phonon
exciton
plasmon
polariton
polaron
magnon
roton
soft matter
amorphous solid
colloid
liquid crystal
polymer
van der waals
onnes
von laue
bragg
debye
bloch
onsager
mott
peierls
landau
luttinger
anderson
van vleck
hubbard
shockley
bardeen
cooper
schrieffer
josephson
louis nel
esaki
giaever
kohn
kadanoff
fisher
wilson
von klitzing
binnig
rohrer
bednorz
laughlin
strmer
yang
tsui
abrikosov
ginzburg
leggett
parisi
macroscopic
particles
law of friction
granulation
icebergs
asteroid belts
solar system
asteroids
snow
nuts
coal
sand
rice
coffee
corn flakes
salt
bearing balls
coulomb
pharmaceutical
agriculture
energy production
powder
cohesive
suspended
soldier
physicist
ralph alger bagnold
the physics of blown sand and desert dunes
material scientist
nature
water
phase of matter
complex system
magnus effect
rigid body
dissipative
thermal fluctuations
angle of repose
hysteresis
force chains
vaulting
arching
shear stress
stevin
dilatancy granular material
representative elementary volume
thermodynamic temperature
maxwells demon
stochastic evolution
laplace transform
boltzmann distribution
jamming
volume fraction
secondorder transition
lubachevskystillinger algorithm
brazil nut effect
oscillons
ripples
dunes
sandsheets
eventdriven
squeaky beach
booming
levelset
aggregate composite
fragile matter
random close pack
soil liquefaction
metal powder
particulates
paste rheology
i rheology
isbn
bibcode
pmid
s2cid
issn
arxiv
wayback machine
j fluid mech
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Links to external pages
Outloing links
cv.wikipedia.org
de.wikipedia.org
et.wikipedia.org
es.wikipedia.org
fr.wikipedia.org
ko.wikipedia.org
id.wikipedia.org
it.wikipedia.org
nl.wikipedia.org
ja.wikipedia.org
no.wikipedia.org
nn.wikipedia.org
ru.wikipedia.org
uk.wikipedia.org
www.wikidata.org
commons.wikimedia.org
authors.library.caltech.edu
www.openaccessrepository.it
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
www.cambridge.org
search.worldcat.org
api.semanticscholar.org
link.aps.org
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
cherrypit.princeton.edu
www.doi.org
www.doi.org
pubmed.ncbi.nlm.nih.gov
www.arxiv.org
www.doi.org
api.semanticscholar.org
imaging.robarts.ca
www.alexwg.org
www.arxiv.org
ui.adsabs.harvard.edu
www.doi.org
pubmed.ncbi.nlm.nih.gov
www.arxiv.org
ui.adsabs.harvard.edu
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
authors.library.caltech.edu
www.doi.org
search.worldcat.org
api.semanticscholar.org
www.uwyo.edu
www.particles.org.uk
www.doi.org
api.semanticscholar.org
www.granularmaterials.com
web.archive.org
id.loc.gov
catalogue.bnf.fr
data.bnf.fr
id.ndl.go.jp
www.kopkatalogs.lv
olduli.nli.org.il
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 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 | 30% | 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 259 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 6 folders above or in the first level of navigation. | |
Headings | 48% | Headers should reflect the contents of a site. This site has a 21 % 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 | 45% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 15 % 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 | 91% | 91.208791208791 % 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 4052 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 88.75% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 174 inline style declarations ( <a style="color:green">) with a size of 5949 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
82 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/6/62/granular_matter_examples.png/250px-granular_matter_examples.png height: 191 width: 250 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/1/10/quantumphasetransition.svg/220px-quantumphasetransition.svg.png height: 159 width: 220 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/6/6f/stylised_atom_with_three_bohr_model_orbits_and_stylised_nucleus.svg/14px-stylised_atom_with_three_bohr_model_orbits_and_stylised_nucleus.svg.png height: 16 width: 14 description: icon |
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https://upload.wikimedia.org/wikipedia/en/thumb/9/96/symbol_category_class.svg/16px-symbol_category_class.svg.png height: 16 width: 16 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/d/d2/stress_transmision.svg/150px-stress_transmision.svg.png height: 150 width: 150 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5adaa3619c27da284f8a29b49226b9cd4fd09bdf height: height attribute not set width: width attribute not set description: {\displaystyle \theta _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8150e6ff5705574752b8a69aa3da335179961b5e height: height attribute not set width: width attribute not set description: {\displaystyle \theta _{r}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0b514742d05d8ae61170641abaae17712fe13daf height: height attribute not set width: width attribute not set description: {\displaystyle \delta \theta =\theta _{m}-\theta _{r}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e3c042a17394569b3361783e763924c76b0c3ce height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{zz}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/edfe48d430516c4148e164d37678b369b9866444 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{rr}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/435c18a1b4929673846216768ee9067bd6fea3a4 height: height attribute not set width: width attribute not set description: {\displaystyle k={\frac {\sigma _{rr}}{\sigma _{zz}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a0939f505eebad093eaf2cbb4c2bc72a961c4f5b height: height attribute not set width: width attribute not set description: {\displaystyle \mu ={\frac {\sigma _{rz}}{\sigma _{rr}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdc4ca68355ae9d9293a464c7506ed9f4c2e3639 height: height attribute not set width: width attribute not set description: {\displaystyle p(z)=p_{\infty }[1-\exp(-z/\lambda )]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/877a5c336e4f49710b5c2c1362d758d8aaeaa075 height: height attribute not set width: width attribute not set description: {\displaystyle \lambda ={\frac {r}{2\mu k}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33 height: height attribute not set width: width attribute not set description: {\displaystyle r} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b92bfc06485cc90286474b14a516a68d8bfdd7b3 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/8c60295fa6a18a3bffa55120ba741b04726bc5e2 height: height attribute not set width: width attribute not set description: {\displaystyle \ell _{1},\ell _{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72ae2ef7a6ce141998134d5ded9e89457c68fe8e height: height attribute not set width: width attribute not set description: {\displaystyle \alpha =\arctan({\frac {\ell _{1}}{\ell _{2}}})} |
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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/1d9010ce404b2240a94a8b55e1f8f90f5f6c6080 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{11}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ba987aed9b37a6b588110ff050db52d3434a8264 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{22}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/43bbf69f9828b233c07b3f1c6b713442dd6c59ec height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{12}=\sigma _{21}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c27020237d16100b394eb9507736ff1e827ec958 height: height attribute not set width: width attribute not set description: {\displaystyle f_{12}=f_{21}=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e4c726c4141ad7d2d6a88827a6eb7da9570cf6e height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {f_{11}}{f_{22}}}={\frac {\sigma _{11}\ell _{2}}{\sigma _{22}\ell _{1}}}=\tan(\theta +\beta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2137389d8eebda231b37e2519f38c31d716a8715 height: height attribute not set width: width attribute not set description: {\displaystyle \theta _{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d86f92598a91299425f35fb54fb7ec4de4baf1b4 height: height attribute not set width: width attribute not set description: {\displaystyle \mu =tg\phi _{u}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2458d5d95afdc8a8b3449404ef3de5ffb9f88615 height: height attribute not set width: width attribute not set description: {\displaystyle \theta \leq \theta _{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e4b46b57cfa0011b643037751809904d915c1b48 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha ,\beta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5e7e585a76096fc8b5616a2f0e8d5e72347e1d68 height: height attribute not set width: width attribute not set description: {\displaystyle \theta \geq \theta _{\mu }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f877ca0245cb2561e8e3b15c9584f06f0cb58fbf height: height attribute not set width: width attribute not set description: {\displaystyle \delta _{1},\delta _{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdb73f60c37b4a8f12ac3815e92087d38d0162bf height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\dot {\delta _{2}}}{\dot {\delta _{1}}}}={\frac {{\dot {\varepsilon _{22}}}\ell _{2}}{{\dot {\varepsilon _{11}}}\ell _{1}}}=-\tan \beta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/00e1b6ad3cbad4af49bf21a3ad2dc379ff045079 height: height attribute not set width: width attribute not set description: {\displaystyle \varepsilon _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0cffb910305a97b937fd92d0a59cefd5fb83aeb height: height attribute not set width: width attribute not set description: {\displaystyle \varepsilon _{i},\varepsilon _{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7ddc6a69bde22c3caf31a082217cb61c6f09407 height: height attribute not set width: width attribute not set description: {\displaystyle \varepsilon _{i}+\varepsilon _{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5102ceedee70887d7e712d03433f1d2236c43855 height: height attribute not set width: width attribute not set description: {\displaystyle z\in \left[0,1\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0b9821c5a0abc52598fb74a8247c7ab5009ce077 height: height attribute not set width: width attribute not set description: {\displaystyle z\left(\varepsilon _{i}+\varepsilon _{j}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/88ee994323393f11a95de6edabdee835abfd86ca height: height attribute not set width: width attribute not set description: {\displaystyle \left(1-z\right)\left(\varepsilon _{i}+\varepsilon _{j}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f8aa6eeb6fe2e85ad50a3672047d12b4d5924f33 height: height attribute not set width: width attribute not set description: {\displaystyle \varepsilon _{i}(t+dt)={\begin{cases}\varepsilon _{i}(t)&probability:\,1-\gamma dt\\z\left(\varepsilon _{i}(t)+\varepsilon _{j}(t)\right)&probability:\,\gamma dt\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a766d08ec7667c8b7e19856ef98a07dfc4473312 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left\langle \varepsilon (t+dt)\right\rangle &=\left(1-\gamma dt\right)\left\langle \varepsilon (t)\right\rangle +\gamma dt\cdot \left\langle z\right\rangle \left(\left\langle \varepsilon _{i}\right\rangle +\left\langle \varepsilon _{j}\right\rangle \right)\\&=\left(1-\gamma dt\right)\left\langle \varepsilon (t)\right\rangle +\gamma dt\cdot {\dfrac {1}{2}}\left(\left\langle \varepsilon (t)\right\rangle +\left\langle \varepsilon (t)\right\rangle \right)\\&=\left\langle \varepsilon (t)\right\rangle \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b1a8dc9cf85b0b9183335fff83f217628d5e95e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left\langle \varepsilon ^{2}(t+dt)\right\rangle &=\left(1-\gamma dt\right)\left\langle \varepsilon ^{2}(t)\right\rangle +\gamma dt\cdot \left\langle z^{2}\right\rangle \left\langle \varepsilon _{i}^{2}+2\varepsilon _{i}\varepsilon _{j}+\varepsilon _{j}^{2}\right\rangle \\&=\left(1-\gamma dt\right)\left\langle \varepsilon ^{2}(t)\right\rangle +\gamma dt\cdot {\dfrac {1}{3}}\left(2\left\langle \varepsilon ^{2}(t)\right\rangle +2\left\langle \varepsilon (t)\right\rangle ^{2}\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fb247550c458505735303f5eba2c7cde5891cc6c height: height attribute not set width: width attribute not set description: {\displaystyle {\dfrac {d\left\langle \varepsilon ^{2}\right\rangle }{dt}}=lim_{dt\rightarrow 0}{\dfrac {\left\langle \varepsilon ^{2}(t+dt)\right\rangle -\left\langle \varepsilon ^{2}(t)\right\rangle }{dt}}=-{\dfrac {\gamma }{3}}\left\langle \varepsilon ^{2}\right\rangle +{\dfrac {2\gamma }{3}}\left\langle \varepsilon \right\rangle ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/75241f6dfa09dda9ca5151f4a758e2080068814e height: height attribute not set width: width attribute not set description: {\displaystyle {\dfrac {d\left\langle \varepsilon ^{2}\right\rangle }{dt}}=0\rightarrow \left\langle \varepsilon ^{2}\right\rangle =2\left\langle \varepsilon \right\rangle ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ddf61ced4c01e461c4135139a0e425139b9c8b9 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle \varepsilon ^{2}\right\rangle -2\left\langle \varepsilon \right\rangle ^{2}=\left(\left\langle \varepsilon ^{2}(0)\right\rangle -2\left\langle \varepsilon (0)\right\rangle ^{2}\right)e^{-{\frac {\gamma }{3}}t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ef2cb44242e28a031d632e2449cfa30da6229a72 height: height attribute not set width: width attribute not set description: {\displaystyle g(\lambda )=\left\langle e^{-\lambda \varepsilon }\right\rangle =\int _{0}^{\infty }e^{-\lambda \varepsilon }\rho (\varepsilon )d\varepsilon } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/160b1c6251fc80188f7e69510146b654fab21ec8 height: height attribute not set width: width attribute not set description: {\displaystyle g(0)=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c32c6d2a5fe9da4b6e9a2280d964571314409aa1 height: height attribute not set width: width attribute not set description: {\displaystyle {\dfrac {dg}{d\lambda }}=-\int _{0}^{\infty }\varepsilon e^{-\lambda \varepsilon }\rho (\varepsilon )d\varepsilon =-\left\langle \varepsilon \right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5be90af4aafedced5b7b2696f86049922ecf591 height: height attribute not set width: width attribute not set description: {\displaystyle {\dfrac {d^{n}g}{d\lambda ^{n}}}=\left(-1\right)^{n}\int _{0}^{\infty }\varepsilon ^{n}e^{-\lambda \varepsilon }\rho (\varepsilon )d\varepsilon =\left\langle \varepsilon ^{n}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/44520600d38e8caac7bbff45e8c273d4c063e904 height: height attribute not set width: width attribute not set description: {\displaystyle e^{-\lambda \varepsilon _{i}(t+dt)}={\begin{cases}e^{-\lambda \varepsilon _{i}(t)}&1-\gamma t\\e^{-\lambda z\left(\varepsilon _{i}(t)+\varepsilon _{j}(t)\right)}&\gamma t\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0d5442d02fd8e962bfc56d5d0f2245ca770b72c1 height: height attribute not set width: width attribute not set description: {\displaystyle \left\langle e^{-\lambda \varepsilon \left(t+dt\right)}\right\rangle =\left(1-\gamma dt\right)\left\langle e^{-\lambda \varepsilon _{i}(t)}\right\rangle +\gamma dt\left\langle e^{-\lambda z\left(\varepsilon _{i}(t)+\varepsilon _{j}(t)\right)}\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/96048a91937e163d07f537321a914fea421b56fe height: height attribute not set width: width attribute not set description: {\displaystyle g\left(\lambda ,t+dt\right)=\left(1-\gamma dt\right)g\left(\lambda ,t\right)+\gamma dt\int _{0}^{1}{\underset {=g^{2}(\lambda z,t)}{\underbrace {\left\langle e^{-\lambda z\varepsilon _{i}(t)}\right\rangle \left\langle e^{-\lambda z\varepsilon _{j}(t)}\right\rangle } }}dz} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b1fa3d597024d49e0efe44e50b57489f7782f392 height: height attribute not set width: width attribute not set description: {\displaystyle g(\lambda )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/156d9b16610276eb88f64f9301cc4c3215938137 height: height attribute not set width: width attribute not set description: {\displaystyle \delta =\lambda z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/623402dfa7f0e15066a432d5766838489ef804fe height: height attribute not set width: width attribute not set description: {\displaystyle \lambda g(\lambda )=\int _{0}^{\lambda }g^{2}(\delta )d\delta \rightarrow \lambda g'(\lambda )+g(\lambda )=g^{2}(\lambda )\rightarrow g(\lambda )={\dfrac {1}{\lambda t+1}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ccec512cd3cc5142d860e264bd38ef2ebecc844 height: height attribute not set width: width attribute not set description: {\displaystyle \rho (\varepsilon )={\dfrac {1}{t}}e^{-{\frac {\varepsilon }{t}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ef10167a44f2593fe37001da4246f624bc6bd7b height: height attribute not set width: width attribute not set description: {\displaystyle \int _{0}^{\infty }{\dfrac {1}{t}}e^{-{\frac {\varepsilon }{t}}}\cdot e^{-\lambda \varepsilon }d\varepsilon ={\dfrac {1}{t}}\int _{0}^{\infty }e^{-\left(\lambda +{\frac {1}{t}}\right)\varepsilon }d\varepsilon =-{\dfrac {1}{t\left(\lambda +{\frac {1}{t}}\right)}}e^{-\left(\lambda +{\frac {1}{t}}\right)\varepsilon }|_{0}^{\infty }={\dfrac {1}{\lambda t+1}}=g(\lambda )} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/d/d3/granular_jamming.svg/150px-granular_jamming.svg.png height: 197 width: 150 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0 height: height attribute not set width: width attribute not set description: {\displaystyle t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4 height: height attribute not set width: width attribute not set description: {\displaystyle \phi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9e1f558f53cda207614abdf90162266c70bc5c1e height: height attribute not set width: width attribute not set description: {\displaystyle \sigma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e099ebab561eceb95d1929969836a62a2b9a628 height: height attribute not set width: width attribute not set description: {\displaystyle \phi ^{-1}-t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b057ed9f796fa1303ea67de4762cd080a72283eb height: height attribute not set width: width attribute not set description: {\displaystyle \phi ^{-1}-\sigma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e995789bc535b32534e8cb2841ac1b8d442a505b height: height attribute not set width: width attribute not set description: {\displaystyle \sigma (\phi )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/359e4f407b49910e02c27c2f52e87a36cd74c053 height: height attribute not set width: width attribute not set description: {\displaystyle j} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ff4c7a691fc4eed93a5c5136f62e1065156b50b height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{c}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be3dbc9e0f9209db909b0f2b9d061db0baf7c84e height: height attribute not set width: width attribute not set description: {\displaystyle \delta \phi \equiv \phi -\phi _{c}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/125968846e9883e0b0ddef5f1d70f53023ec74b0 height: height attribute not set width: width attribute not set description: {\displaystyle \delta \phi } |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/sand_dunes_near_dakhla_oasis%2c_western_desert%2c_egypt.jpg/150px-sand_dunes_near_dakhla_oasis%2c_western_desert%2c_egypt.jpg height: 100 width: 150 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2e85230b51d694439df5e51f549ffd5afc82bb56 height: height attribute not set width: width attribute not set description: {\displaystyle \phi =0.646\pm 0.001} |
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https://upload.wikimedia.org/wikipedia/en/thumb/8/8a/oojs_ui_icon_edit-ltr-progressive.svg/10px-oojs_ui_icon_edit-ltr-progressive.svg.png height: 10 width: 10 description: edit this at wikidata |
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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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