en.wikipedia.org website review
Improve your SEO :: free trial!
en.wikipedia.org is 59% geoptimaliseerd!
SEO Keyword summary for en.wikipedia.org/wiki/differentiable_manifold
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 manifold differentiable |
long Tail Keywords (2 words) phi alpha differentiable manifold one can differentiable manifolds topological space |
long Tail Keywords (3 words) partitions of unity alpha circ phi displaystyle phi alpha phi alpha beta phi alpha alpha phi alpha circ circ phi beta |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/differentiable_manifold 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
differentiable manifold 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 ucirc varphi big psi circ cbig ualpha ubeta phi alpha beta mathbf valpha mathbb vbeta gamma textstyle bigsqcup avalpha pin uphi uto fcirc colon usubset nto leftfrac ddtfgamma trightt ddtphi equiv iff xfpleftfrac xmapsto xfp dfpcolon tpmto apin vapto mapsto dbig pphi tpm fmto dfptpmto pfcirc dfp viwidetilde vjfrac partial xipartial widetilde dfpvfrac fpartial xivi sum iphi kfrac tfpn fdotsc yncirc dotsc xmn abmathcal labmathcal lba ndimm leq kleq omega ldots dxn dfsum nfrac xidxi domega wedge eta deg deta dcirc ddf mto times sharp cdots tpast uvgujv vin vjv mgtimes gto igto gin mgcdot tegto tgg teg cup iui fuiin icon edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/differentiable_manifold
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/differentiable_manifold
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
differentiable found in path !
manifold 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
|
en.m.wikipedia.org |
en.wikipedia.org wikimedia foundation inc
|
w httpsenwikipediaorgwindexphptitledifferentiablemanifoldoldid1233823053
page information
printable version
|
wiki tropic of cancer
manifolds
vector space
calculus
atlas
differentiable
topological manifold
differential structure
homeomorphism
compositions
transition map
tangent space
tensor field
vector field
physics
classical mechanics
general relativity
yangmills theory
exterior derivative
differential geometry
continuously differentiable
smooth
realanalytic
differential geometry
carl friedrich gauss
riemann bernhard
habilitation
gttingen
james clerk maxwell
gregorio riccicurbastro
levicivita tullio
tensor analysis
covariance
coordinate transformations
albert einstein
equivalence principle
weyl hermann
riemann surfaces
atlas
hassler whitney
topological space
euclidean space
differential calculus
partial derivatives
chain rule
maps
holomorphic functions
smooth atlas
complex
invariance of domain
hausdorff space
second countable
bump functions
partitions of unity
analytic varieties
if and only if
derivative
directional derivative
affine
vectors
curve
tangent vector
equivalence class
contact
velocity vector
linear functional
supports
compact
locally finite
function spaces
lp spaces
sobolev spaces
tangent
dimension
holonomic basis
lagrangian
jets
real line
cotangent
dual space
cotangent space
hamiltonian mechanics
total space
symplectic
covectors
infinitesimal
exact differentials
tensor
direct sum
tensor products
multilinear operator
algebra
covariant
contravariant
frame bundle
gln r
principal
equivariant
jet
differential operators
diffeomorphism
group of kjets
connections
multivariate calculus
mutatis mutandis
total derivative
locally
implicit
inverse function theorems
lie derivative
affine
integral calculus
exterior calculus
differential form
greens theorem
divergence theorem
stokes theorem
submanifold
pushforward
rank
sards
immersion
submersion
embedding
fibration
fibre bundles
sophus lie
derivation
algebra
lie algebra
lie bracket
lie group
active
group
gradient
divergence
curl
antisymmetric
multilinear
graded vector space
product rule
de rham cohomology
quotient group
tendimensional example
major application
partial differential equations
donaldson simon
freedman
e8 manifold
milnor john
exotic 7spheres
surface
more nontrivial
geometrization conjecture
mostow rigidity
homotopy equivalence
presented
undecidable
simply connected
4manifolds
intersection form
kirbysiebenmann invariant
exotic smooth structures
hcobordism theorem
surgery theory
5manifolds
riemannian
pseudo
inner product
riemannian metric
indefinite signature
positivedefinite
riemann curvature tensor
lorentzian manifolds
finsler
vector norm
closed
nondegenerate
2form
natural symplectic form
evendimensional sphere
parallelizable
pseudogroup
diffeomorphisms
biholomorphisms
symplectomorphisms
mbius transformations
affine transformations
sheaf
functor
pullback
a fortiori
ringed space
schemes
algebraic geometry
local ring
germs
maximal ideal
locally ringed space
complex analytic geometry
polynomials
topos theory
synthetic differential geometry
taylor series
ipadic filtration
dual numbers
category
diffeological spaces
frlicher spaces
orbifold
rectifiable set
rectifiable curve
banach manifold
frchet manifold
regular functions
banachstone theorem
spectrum of a calgebra
operator theory
calgebra
noncommutative geometry
christoffel symbols
introduction to the mathematics of general relativity
list of formulas in riemannian geometry
riemannian geometry
space mathematics
quaternions
isbn
journal of differential geometry
hartshorne robin
encyclopedia of mathematics
ems press
kervaire michel a
commentarii mathematici helvetici
s2cid
kobayashi shoshichi
graduate studies in mathematics
american mathematical society
nature
bibcode
mac lane saunders
moerdijk ieke
annals of mathematics
jstor
ranicki andrew
sela zlil
sternberg shlomo
atiyahsinger index
darbouxs
generalized stokes
hopfrinow
noethers
whitney embedding
local
geodesic
exponential map
in lie theory
foliation
integral curve
section
closed
almost
almost
contact
fibered
flat
gstructure
hadamard
hermitian
hyperbolic
khler
kenmotsu
lie algebra
manifold with boundary
oriented
poisson
prime
quaternionic
hypercomplex
rizza
almost
tame
tensors
distribution
torsion
vector flow
closedexact
covariant derivative
vectorvalued
interior product
pullback
ricci curvature
flow
density
volume form
wedge product
fiber
adjoint
affine
associated
dual
co
lie algebra
stable
normal
spinor
subbundle
vector
cartan
ehresmann
form
generalized
koszul
levicivita
principal
vector
parallel transport
classification of manifolds
gauge theory
morse theory
moving frame
singularity theory
diffeology
diffiety
ktheory
secondary calculus
over commutative algebras
stratifold
supermanifold
stratified space
|
Links to external pages
Outloing links
de.wikipedia.org
et.wikipedia.org
es.wikipedia.org
fa.wikipedia.org
fr.wikipedia.org
gl.wikipedia.org
id.wikipedia.org
it.wikipedia.org
he.wikipedia.org
hu.wikipedia.org
nl.wikipedia.org
ja.wikipedia.org
pl.wikipedia.org
tl.wikipedia.org
uk.wikipedia.org
zh.wikipedia.org
www.wikidata.org
www.wikidata.org
en.wikibooks.org
books.google.com
www.encyclopediaofmath.org
api.semanticscholar.org
books.google.com
ui.adsabs.harvard.edu
www.doi.org
api.semanticscholar.org
www.doi.org
www.jstor.org
www.maths.tcd.ie
www.jstor.org
www.archive.org
mathworld.wolfram.com
www.doi.org
www.jstor.org
www.wikidata.org
id.loc.gov
catalogue.bnf.fr
data.bnf.fr
id.ndl.go.jp
aleph.nkp.cz
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 | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 36 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 527 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 | 67% | Headers should reflect the contents of a site. This site has a 28 % match | |
Links | 8% | Link anchors should to some degree reflect the contents of a site. This site has a 4 % match | |
Image alt tags | 14% | Image alt tags should to some degree reflect the contents of a site. This site has a 5 % match | |
Bold and italic | 30% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 10 % match | |
Html ratio | 60% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 97% | 97.237569060773 % 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 9800 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 88.42% 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 445 inline style declarations ( <a style="color:green">) with a size of 14964 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
143 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 |
|
http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-wordmark-en.svg height: height attribute not set width: width attribute not set description: wikipedia |
|
http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-tagline-en.svg height: 13 width: 117 description: the free encyclopedia |
|
https://upload.wikimedia.org/wikipedia/commons/9/9a/nondifferentiable_atlas.png height: 167 width: 328 description: no alt description found |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/1b8bdad9dff9be58fb7f0d66953aaa00fbe73f8e height: height attribute not set width: width attribute not set description: {\displaystyle u\circ \varphi ^{-1}={\big (}u\circ \psi ^{-1}{\big )}\circ {\big (}\psi \circ \varphi ^{-1}{\big )},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ba6481344801df7c25d874aa85a627911234fe3c height: height attribute not set width: width attribute not set description: {\displaystyle \varphi \circ c={\big (}\varphi \circ \psi ^{-1}{\big )}\circ {\big (}\psi \circ c{\big )},} |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/two_coordinate_charts_on_a_manifold.svg/250px-two_coordinate_charts_on_a_manifold.svg.png height: 200 width: 250 description: no alt description found |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd height: height attribute not set width: width attribute not set description: {\displaystyle m} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c507812c8cdaf4cea8d2e7e1705b495a3010a352 height: height attribute not set width: width attribute not set description: {\displaystyle u_{\alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/7d87b923092fa558b2132b6a0e066f5f3bab6681 height: height attribute not set width: width attribute not set description: {\displaystyle u_{\beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/408558572f5616a304c4f8778f69e4c15d59cc0d height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8beae3af4f52166fa996066900cc52ddbba48157 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/af98f656e372b5fbc8a715ca4119b06922bf9b25 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\beta \alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3fe2eba5c573574045804a9c5a915495e78ee3be height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5ed657d7f0d7aa156e7b9b171f22b4a3aa6482c3 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {r} ^{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f6d79753b9f0ed9ead8aa331305bd1597502407b height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha }\circ \phi _{\beta }^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/365626d594ef3f6c2110a580cd4fa75bf1da0b95 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\beta }\circ \phi _{\alpha }^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/2746026864cc5896e3e52443a1c917be2df9d8ea height: height attribute not set width: width attribute not set description: {\displaystyle a,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/582d40a9ff663187250948b07bb66456162c2042 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c510b63578322050121fe966f2e5770bea43308d height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/7f9a2e5019ee66d78e0032ef67d732a91a2b2aa5 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha ,\beta \in a} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/95c4e19bfbd9d037dfd97c0c0df8e67c25c0550d height: height attribute not set width: width attribute not set description: {\displaystyle v_{\alpha \beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/66668ae9c071f388d25da00071eb3b1297c6ec60 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/71c75672aa39e6d8db48351a33f5ffc15675236b height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \beta }:v_{\alpha \beta }\to v_{\beta \alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a1c60e4200d97edd678e54eee8582620d8f12091 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/cd42f3505be9b484a7a1ae2aa95b308616784b9d height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \beta }\circ \phi _{\beta \alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/96dde5581d07b1faa77488f6fc6ed1ecf88e7c4b height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \beta }\circ \phi _{\beta \gamma }\circ \phi _{\gamma \alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/fadb5254d1968266857bbfa9216b89f0c61b69b9 height: height attribute not set width: width attribute not set description: {\textstyle \bigsqcup _{\alpha \in a}v_{\alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8c8f69647c362a6c0117c31525258a8b310457b8 height: height attribute not set width: width attribute not set description: {\displaystyle p\in v_{\alpha \beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/1c5910816e183dccec1c679d77c81d6a5609700a height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha \beta }(p)\in v_{\beta \alpha }.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/0be3491c45cdc56c113de78c13f5cb0b70d4c6d4 height: height attribute not set width: width attribute not set description: {\displaystyle (u,\phi )} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025 height: height attribute not set width: width attribute not set description: {\displaystyle u} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/59c115f4934bee5ec7e5244ab207d23291e292a2 height: height attribute not set width: width attribute not set description: {\displaystyle \phi :u\to {\mathbf {r} }^{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/51ab364a0d4eaccd70a09f38df3a9572523bc4e7 height: height attribute not set width: width attribute not set description: {\displaystyle f\circ \phi ^{-1}\colon \phi (u)\subset {\mathbf {r} }^{n}\to {\mathbf {r} }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/772d7fe1c5a3439845a87f55d45af038956b3f12 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (p)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5aa227c8abb67f2401820a4c4f4931173448dee5 height: height attribute not set width: width attribute not set description: {\displaystyle f\circ \phi ^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/01d0afd506728742ba3cdc66abc637c8ab349d62 height: height attribute not set width: width attribute not set description: {\displaystyle \phi (u)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f96fef157cdfd6a7bb01b79ea8467bcbb6c3d78b height: height attribute not set width: width attribute not set description: {\displaystyle {\mathbf {r} }^{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5de85fcc2a00d8ba14aae84aeef812d7fef4b3d5 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {r} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ddd6a9ded54a2cbd15a13c1f406426888fe1ad7d height: height attribute not set width: width attribute not set description: {\displaystyle \left.{\frac {d}{dt}}f(\gamma (t))\right|_{t=0}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4 height: height attribute not set width: width attribute not set description: {\displaystyle \phi } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/aa18b65975fc76e637ee2c95721a563607b16839 height: height attribute not set width: width attribute not set description: {\displaystyle \left.{\frac {d}{dt}}\phi \circ \gamma _{1}(t)\right|_{t=0}=\left.{\frac {d}{dt}}\phi \circ \gamma _{2}(t)\right|_{t=0}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/0d3b94a6c925b08000317ef416843c9bd6f155f0 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma _{1}\equiv \gamma _{2}\iff \left.{\frac {d}{dt}}\phi \circ \gamma _{1}(t)\right|_{t=0}=\left.{\frac {d}{dt}}\phi \circ \gamma _{2}(t)\right|_{t=0}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e5343a1dad5b17723429b1b98adc91d3bb5d3066 height: height attribute not set width: width attribute not set description: {\displaystyle xf(p):=\left.{\frac {d}{dt}}f(\gamma (t))\right|_{t=0}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/01fa2c7b44e242158a5b5847b79621ac55853839 height: height attribute not set width: width attribute not set description: {\displaystyle x\mapsto xf(p)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/91704cc64a1016499ffbdd262275c773a1840e62 height: height attribute not set width: width attribute not set description: {\displaystyle df(p)\colon t_{p}m\to {\mathbf {r} }.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/4b37d6859a1d93e54910e827321b46b5d9d57c10 height: height attribute not set width: width attribute not set description: {\displaystyle \{(u_{\alpha },\phi _{\alpha })\}_{\alpha \in a}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/35ad2c18a15749505c928763cd4fdb56f4982816 height: height attribute not set width: width attribute not set description: {\displaystyle p\in m} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e1ea46c20042fba4142a87ecd1f7c29776a6ce46 height: height attribute not set width: width attribute not set description: {\displaystyle a_{p}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/02d5257fc2cc5aa4e8adc62a806782ba5eb137df height: height attribute not set width: width attribute not set description: {\displaystyle \{\alpha \in a:p\in u_{\alpha }\}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ddcaec81b0616fc57c6c835ba36a04238e99d67e height: height attribute not set width: width attribute not set description: {\displaystyle v:a_{p}\to \mathbb {r} ^{n},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/6229961b799359e60cd76e2085a90107bdd9ea9e height: height attribute not set width: width attribute not set description: {\displaystyle \alpha \mapsto v_{\alpha },} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/9bd48809fca20f546306f3c43cc473a074fd6c9b height: height attribute not set width: width attribute not set description: {\displaystyle v_{\alpha }=d{\big |}_{\phi _{\beta }(p)}(\phi _{\alpha }\circ \phi _{\beta }^{-1})(v_{\beta })} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5afd8534e348c71f1d2dd6b3eaf2412461ac74ac height: height attribute not set width: width attribute not set description: {\displaystyle \alpha ,\beta \in a_{p}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36 height: height attribute not set width: width attribute not set description: {\displaystyle p} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/0b69cac5a8c2a370102468e4b47abc73ac692fd6 height: height attribute not set width: width attribute not set description: {\displaystyle t_{p}m.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3f7c129dfb3446a2251aabc1cb3eba0b13ee7b21 height: height attribute not set width: width attribute not set description: {\displaystyle f:m\to \mathbb {r} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/13ea410da20ed7b211ef5d6d02fe16239173d763 height: height attribute not set width: width attribute not set description: {\displaystyle df_{p}:t_{p}m\to \mathbb {r} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/bfd82c857c98b76ac56e391ccc6b7c771bb6abba height: height attribute not set width: width attribute not set description: {\displaystyle v:a_{p}\to \mathbb {r} ^{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3c5411556b8a993f135bc150db4cd8f5a2da5d16 height: height attribute not set width: width attribute not set description: {\displaystyle d{\big |}_{\phi _{\alpha }(p)}(f\circ \phi _{\alpha }^{-1})(v_{\alpha }),} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/713ed3ea0fe3992cd40f38cdc6c89eb606124d71 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha \in a_{p}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/71b20e0304a65ead2cafb33412a383b34fe527ca height: height attribute not set width: width attribute not set description: {\displaystyle t_{p}m} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/1142d069553f6a55274e87055720127c02d3ec02 height: height attribute not set width: width attribute not set description: {\displaystyle df_{p}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/1ff50695dd0048523c0558c20e434114f2871719 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\beta }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/7ed48a5e36207156fb792fa79d29925d2f7901e8 height: height attribute not set width: width attribute not set description: {\displaystyle \beta } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/81e8acf871998209aa082e10fb1a5738cf721193 height: height attribute not set width: width attribute not set description: {\displaystyle v_{\alpha }} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a833dd21d115a96c1c5b55a7136fadf84ce3a262 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha \in a.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/31d20542fe976ddcaf5b4904a52df086e099190a height: height attribute not set width: width attribute not set description: {\displaystyle v^{i}={\widetilde {v}}^{j}{\frac {\partial x^{i}}{\partial {\widetilde {x}}^{j}}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/77b0688761b02706ee8a6a5f93e5aec9330a46ac height: height attribute not set width: width attribute not set description: {\displaystyle df_{p}(v)={\frac {\partial f}{\partial x^{i}}}v^{i}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/277f015657c1b5d837ae0e985b4be9fc52b1a170 height: height attribute not set width: width attribute not set description: {\displaystyle \sum _{i}\phi _{i}(x)=1.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d6403bbe5dd2d0d034e9c9eb79880b7a061d56fd height: height attribute not set width: width attribute not set description: {\displaystyle \partial _{k}={\frac {\partial }{\partial x_{k}}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/901667ae950847c9878fef1fcf30acfe5c5ec250 height: height attribute not set width: width attribute not set description: {\displaystyle df(p)\colon t_{p}m\to t_{f(p)}n.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d0c6c6765ea72310463f45e7ae6735d2f556fdcf height: height attribute not set width: width attribute not set description: {\displaystyle (y_{1}\circ f,\dotsc ,y_{n}\circ f,x_{1},\dotsc ,x_{m-n})} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a52a85bba0a0a65aec00893b1af31acff9b2b32e height: height attribute not set width: width attribute not set description: {\displaystyle [a,b]:={\mathcal {l}}_{a}b=-{\mathcal {l}}_{b}a.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab height: height attribute not set width: width attribute not set description: {\displaystyle d} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f129dc2cc6749381d8d5a34d490651436968fde2 height: height attribute not set width: width attribute not set description: {\displaystyle n=\dim(m)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e7b429c3c44b3dc10332285272eee6f754dbf985 height: height attribute not set width: width attribute not set description: {\displaystyle 0\leq k\leq n} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/30e527515b7c9de608cccd789454806924363647 height: height attribute not set width: width attribute not set description: {\displaystyle \omega ^{k}(m)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d92e1a9eb6d032924f3099d4c4072fa0f3793b67 height: height attribute not set width: width attribute not set description: {\displaystyle \omega ^{k+1}(m)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3f9f13644a6be482d7ddb19a6e0c706564773085 height: height attribute not set width: width attribute not set description: {\displaystyle (k+1)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/66e81682bf174c978e9008ffb557ba4da2cf7478 height: height attribute not set width: width attribute not set description: {\displaystyle k>n} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61 height: height attribute not set width: width attribute not set description: {\displaystyle f} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/737e02a5fbf8bc31d443c91025339f9fd1de1065 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1},\ldots ,x_{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/bb0b10be2d458f01860db3b84cdcc0f7da7c2b8d height: height attribute not set width: width attribute not set description: {\displaystyle dx_{1},\ldots ,dx_{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8f8d245f1aa1f450c7586dfad6475fe5d48eeb09 height: height attribute not set width: width attribute not set description: {\displaystyle df=\sum _{i=1}^{n}{\frac {\partial f}{\partial x_{i}}}dx_{i}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ff9071a74dd65ed0e7fd39102a89378d62719467 height: height attribute not set width: width attribute not set description: {\displaystyle d(\omega \wedge \eta )=d\omega \wedge \eta +(-1)^{\deg \omega }\omega \wedge d\eta .} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5b28b25c1eefce2c0374e96c1638eae720af6041 height: height attribute not set width: width attribute not set description: {\displaystyle d\circ d=0} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8 height: height attribute not set width: width attribute not set description: {\displaystyle \omega } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c8af963731a6f9664ee81b251d48c96d92f5582a height: height attribute not set width: width attribute not set description: {\displaystyle (k+2)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3c17343e94c583a288b4cd430df8256e0c6b24c9 height: height attribute not set width: width attribute not set description: {\displaystyle d(df)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f36675fed06f4f9cab60ae8e9479020cf17f3244 height: height attribute not set width: width attribute not set description: {\displaystyle d\omega =0} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/335b4226d5a601d08618fd580221cefd1861f6ad height: height attribute not set width: width attribute not set description: {\displaystyle \omega =d\eta } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e4d701857cf5fbec133eebaf94deadf722537f64 height: height attribute not set width: width attribute not set description: {\displaystyle \eta } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/2f39f90fa6b69ece1e5a2c8bbcace4842442fa5e height: height attribute not set width: width attribute not set description: {\displaystyle \{(u_{\alpha },\phi _{\alpha })\}_{\alpha \in a}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/775a47d0e02fa0a7a5a7a9687176fd3907cbe2ce height: height attribute not set width: width attribute not set description: {\displaystyle m;} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/6962920b8756d2e8aee1bb074fd596e1a77366b9 height: height attribute not set width: width attribute not set description: {\displaystyle \phi :m\to m} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ba22d4ad00ab0cbd70763bce088e3e36c51d912b height: height attribute not set width: width attribute not set description: {\displaystyle \{(\phi ^{-1}(u_{\alpha }),\phi _{\alpha }\circ \phi )\}_{\alpha \in a},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/856a7b6ea24c9637aa695c6087ac5cc80f8970f1 height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha }\circ \phi \circ \phi _{\beta }^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/98d73ebb682c36cacc9b788d5ed790bc0428f11c height: height attribute not set width: width attribute not set description: {\displaystyle \phi _{\alpha }\circ \phi ^{-1}\circ \phi _{\beta }^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/59ab677d974cccb0132cac08bd67fc8ac765627e height: height attribute not set width: width attribute not set description: {\displaystyle \beta ,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/aed80a2011a3912b028ba32a52dfa57165455f24 height: height attribute not set width: width attribute not set description: {\displaystyle \phi } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ab22c7cf7f1a54d85993e0257a93f28eae546df8 height: height attribute not set width: width attribute not set description: {\displaystyle \phi ^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/006cf33791ed84b806c232b9a99c3b05bf0f011a height: height attribute not set width: width attribute not set description: {\displaystyle \{(v_{\beta },\psi _{\beta })\}_{\beta \in b}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/cf83b92e8b35af77e28445a73e8136bc525b9927 height: height attribute not set width: width attribute not set description: {\displaystyle \{(\phi ^{-1}(u_{\alpha }),\phi _{\alpha }\circ \phi )\}_{\alpha \in a}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8275d25ea2c3fff6a54997b004267368ff44c162 height: height attribute not set width: width attribute not set description: {\displaystyle \{(v_{\beta },\psi _{\beta })\}_{\beta \in b},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/45f2db10dd99abc650399354e9a6f36373b42401 height: height attribute not set width: width attribute not set description: {\displaystyle \{(\phi (v_{\beta }),\psi _{\beta }\circ \phi ^{-1})\}_{\beta \in b}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/76674b85f00a3e422f62743faa3b0325f1723060 height: height attribute not set width: width attribute not set description: {\displaystyle m\to m,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/fe8d5f879619008f9a2851aa290f438c32e9232a height: height attribute not set width: width attribute not set description: {\displaystyle s^{1},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ce2790d16fc095fefd35493399f92b5557ced3b0 height: height attribute not set width: width attribute not set description: {\displaystyle s^{2},} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/0028114e9f26e4f8a7261491455039a6ef60d1d3 height: height attribute not set width: width attribute not set description: {\displaystyle (s^{1}\times s^{1})\sharp \cdots \sharp (s^{1}\times s^{1}),} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a20a495114ffa87d5c55a3f724ab14764e7dec80 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {rp} ^{2}\sharp \cdots \sharp \mathbb {rp} ^{2}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/fa1ed6f8241397485e8f050862002438d6a011d4 height: height attribute not set width: width attribute not set description: {\displaystyle t_{p}m\to t_{p}^{\ast }m} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c41366ebf5222955ca9977172cd6dd4e2d8aed3e height: height attribute not set width: width attribute not set description: {\displaystyle p\in m.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/158f4d6958e3923de0db80edec6c5f90a97d3493 height: height attribute not set width: width attribute not set description: {\displaystyle (n-1,1)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d928ec15aeef83aade867992ee473933adb6139d height: height attribute not set width: width attribute not set description: {\displaystyle n=4} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/7dc0b190d5d6bc6f60fad9cdb429ef500675b50b height: height attribute not set width: width attribute not set description: {\displaystyle (2n+1)\times (2n+1)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/68e27d2e539fd0c3a9a7efab6257abd17de7fc57 height: height attribute not set width: width attribute not set description: {\displaystyle (m,g)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/05ba3a170160f183308eb81aa2d77f0f3f78d6cf height: height attribute not set width: width attribute not set description: {\displaystyle \omega (u,v)=g(u,j(v))} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/6a9fc3cc87a756a6d74df405cecfb6745c130189 height: height attribute not set width: width attribute not set description: {\displaystyle v\in t_{p}m,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/6f70a4a8467e7ea53af84425527b86d98605f81c height: height attribute not set width: width attribute not set description: {\displaystyle j(v)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8be8b6344d4a4c03d04cc9e55f69da363272fdb5 height: height attribute not set width: width attribute not set description: {\displaystyle v,j(v)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/bb8699118cdd0dd2bded6fe4d529a6af245d7a83 height: height attribute not set width: width attribute not set description: {\displaystyle g_{p}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f3c8921a3b352de45446a6789b104458c9f90b height: height attribute not set width: width attribute not set description: {\displaystyle g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/513b3d99d2a660a1552a8ae4bd19bd82e78ad871 height: height attribute not set width: width attribute not set description: {\displaystyle m:g\times g\to g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/413e0936c524dbc4d440b73ac947d32ebd0215b1 height: height attribute not set width: width attribute not set description: {\displaystyle i:g\to g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/b1be73903416a0dd94b8cbc2268ce480810c0e62 height: height attribute not set width: width attribute not set description: {\displaystyle g\in g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/689244b229cb62b97de38ed8f0e153e8edad516f height: height attribute not set width: width attribute not set description: {\displaystyle m(g,\cdot ):g\to g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467 height: height attribute not set width: width attribute not set description: {\displaystyle e} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d3556280e66fe2c0d0140df20935a6f057381d77 height: height attribute not set width: width attribute not set description: {\displaystyle g} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/facc6176eae2b6184437ca53cb57b059cb2c5cb8 height: height attribute not set width: width attribute not set description: {\displaystyle t_{e}g\to t_{g}g,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/729522289c49c40b6bf4ad1908c79e795f5db20c height: height attribute not set width: width attribute not set description: {\displaystyle t_{e}g,} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/dc645a5b7e8a2022ad70fc42dbda04c008a33a9a height: height attribute not set width: width attribute not set description: {\displaystyle g.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/b9cc0b4be858829765a46a821b21068d98d3ad37 height: height attribute not set width: width attribute not set description: {\displaystyle \cup _{i}\,u_{i}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/36d29126f5183147095dc135e57721dbe87bf4ee height: height attribute not set width: width attribute not set description: {\displaystyle f|_{u_{i}}\in \gamma } |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/1/1c/wiki_letter_w_cropped.svg/20px-wiki_letter_w_cropped.svg.png height: 14 width: 20 description: [icon] |
|
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 |
|
https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
|
http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
|
http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
How are images contributing to your SEO site-wise ? Your leading content tool has the awnsers!