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SEO Keyword summary for en.wikipedia.org/wiki/circulant_matrix
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 circulant matrix |
long Tail Keywords (2 words) circulant matrix cdisplaystyle c circulant matrices fourier transform ndisplaystyle n |
long Tail Keywords (3 words) discrete fourier transform matrix cdisplaystyle c move to sidebar vector cdisplaystyle c circulant matrix cdisplaystyle ntimes n circulant symmetric circulant matrices |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/circulant_matrix 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.
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circulant matrix wikipedia
Meta description
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Content SEO
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Headings
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Emphasis (bold and italic)
Emphasis SEO impact
Images
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wikipedia free encyclopedia displaystyle ntimes cbeginbmatrixc cdots vdots ddots endbmatrix ptimes nptimes fxc xdots vjfrac sqrt nleft omega jomega jldots jrighttquad ldots exp lefttfrac inright lambda jdots jquad dots det cprod jcn jprod fomega gcdfxxn pbeginbmatrix abba fntext unitarytext where fnv frac nfkjtext fkje incdot kjtextfor leq kjleq cfnoperatorname diag ncdot fndagger cfndagger fndfndagger textstyle npx times beginbmatrixc mathbb nmathbb biciai bksum aicki cnici lfloor rfloor vec beginarraylcllambda epi icdot sum cjcos kjc endarray kjre efrac kjcosfrac kfrac cniciileq beginbmatrixr cmathbf mathbf star mathcal fnmathbf leftleftfrac rightnu rightrm icon edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/circulant_matrix
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Mobile optimizations
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Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/circulant_matrix
Social Media
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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
circulant found in path !
matrix 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
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statistics
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page information
printable version
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wiki read
circulant graph
linear algebra
square matrix
toeplitz
numerical analysis
diagonalizable
discrete fourier transform
linear equations
fast fourier transform
integral kernel
convolution operator
cyclic group
orthogonal frequency division multiplexing
symbols
cyclic prefix
frequency domain
cryptography
mixcolumns
advanced encryption standard
transpose
matrix
cyclic permutations
polynomial
eigenvectors
root of unity
imaginary unit
eigenvalues
determinant
degree
permutation
companion
dimensional
vector space
functions
order
group ring
commutative algebra
nonsingular
inverse
moorepenrose pseudoinverse
monic
characteristic polynomial
derivative
proof
geometrically
integers
regular ndisplaystyle ngon
real line
circle
operator theory
integral transform
circular convolution
real part
isomorphic
symmetric
real
bisymmetric
hermitian
gaussian elimination
graph theory
digraph
adjacency
automorphism group
mbius ladders
paley graphs
fields
prime
davis philip j
isbn
oclc
golub gene h
van loan charles f
arxiv
issn
numerical linear algebra
floating point
numerical stability
system of linear equations
matrix decompositions
matrix multiplication
algorithms
matrix splitting
sparse
cpu cache
cacheoblivious algorithm
multiprocessing
matlab
basic linear algebra subprograms blas
lapack
specialized libraries
general purpose software
alternant
antidiagonal
skewhermitian
skewsymmetric
arrowhead
band
bidiagonal
blockdiagonal
block
block tridiagonal
boolean
cauchy
centrosymmetric
conference
complex hadamard
copositive
diagonally dominant
diagonal
discrete fourier transform
elementary
equivalent
frobenius
generalized permutation
hadamard
hankel
hessenberg
hollow
integer
logical
matrix unit
metzler
moore
nonnegative
pentadiagonal
persymmetric
polynomial
quaternionic
signature
skyline
sylvester
triangular
tridiagonal
vandermonde
walsh
exchange
hilbert
identity
lehmer
of ones
pascal
pauli
redheffer
shift
zero
eigenvalues or eigenvectors
convergent
defective
definite
hurwitz
positivedefinite
stieltjes
products
inverses
congruent
idempotent
projection
invertible
involutory
nilpotent
normal
orthogonal
unimodular
unipotent
unitary
totally unimodular
weighing
adjugate
alternating sign
augmented
bzout
carleman
cartan
cofactor
commutation
confusion
coxeter
distance
duplication and elimination
euclidean distance
fundamental linear differential equation
generator
gram
hessian
householder
jacobian
moment
payoff
pick
random
rotation
seifert
shear
similarity
symplectic
totally positive
transformation
statistics
centering
correlation
covariance
design
doubly stochastic
fisher information
precision
transition
biadjacency
degree
edmonds
incidence
laplacian
seidel adjacency
tutte
cabibbokobayashimaskawa
density
fundamental computer vision
fuzzy associative
gamma
gellmann
hamiltonian
irregular
overlap
state transition
substitution
z chemistry
jordan normal form
linear independence
matrix exponential
matrix representation of conic sections
perfect matrix
pseudoinverse
row echelon form
wronskian
list of matrices
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Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
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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 306 internal links on this page. | |
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Headings | 81% | Headers should reflect the contents of a site. This site has a 35 % match | |
Links | 10% | Link anchors should to some degree reflect the contents of a site. This site has a 5 % match | |
Image alt tags | 36% | Image alt tags should to some degree reflect the contents of a site. This site has a 13 % match | |
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Keywords in Domainname | 30% | There are no important keywords in your domain name | |
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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 274 inline style declarations ( <a style="color:green">) with a size of 8704 bytes | |
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Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
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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). |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e35bfc6cc71b3d81121c5a6ba803d24181ba231f height: height attribute not set width: width attribute not set description: {\displaystyle c_{n-i}=c_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9c9569302b9dea5da2b24a5b83312a9d1de26284 height: height attribute not set width: width attribute not set description: {\displaystyle \lfloor n/2\rfloor +1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5faf4f4cc0b80d8fed0d8b91ef6569fcc5a5a79e height: height attribute not set width: width attribute not set description: {\displaystyle c={\begin{bmatrix}c_{0}&c_{1}&\cdots &c_{2}&c_{1}\\c_{1}&c_{0}&c_{1}&&c_{2}\\\vdots &c_{1}&c_{0}&\ddots &\vdots \\c_{2}&&\ddots &\ddots &c_{1}\\c_{1}&c_{2}&\cdots &c_{1}&c_{0}\\\end{bmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e808436b83fbce0546993263137dea1d6b0b3fd height: height attribute not set width: width attribute not set description: {\displaystyle {\vec {\lambda }}={\sqrt {n}}\cdot f_{n}^{\dagger }c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/74441955c597b3e21dfd79bb6126129e8d3285b3 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{array}{lcl}\lambda _{k}&=&c_{0}+c_{n/2}e^{-\pi i\cdot k}+2\sum _{j=1}^{{\frac {n}{2}}-1}c_{j}\cos {(-{\frac {2\pi }{n}}\cdot kj)}\\&=&c_{0}+c_{n/2}\omega _{k}^{n/2}+2c_{1}\re \omega _{k}+2c_{2}\re \omega _{k}^{2}+\dots +2c_{n/2-1}\re \omega _{k}^{n/2-1}\end{array}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd055e985d0139f28825b9ce7bf8dd3ff83b9c3 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{array}{lcl}\lambda _{k}&=&c_{0}+2\sum _{j=1}^{\frac {n-1}{2}}c_{j}\cos {(-{\frac {2\pi }{n}}\cdot kj)}\\&=&c_{0}+2c_{1}\re \omega _{k}+2c_{2}\re \omega _{k}^{2}+\dots +2c_{(n-1)/2}\re \omega _{k}^{(n-1)/2}\end{array}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2fb2634503a854c1309d27f30d590a1a01c65e8a height: height attribute not set width: width attribute not set description: {\displaystyle \re z} |
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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/5c239473565730337f990f5a696e6b86c519a838 height: height attribute not set width: width attribute not set description: {\displaystyle \re \omega _{k}^{j}=\re e^{-{\frac {2\pi i}{n}}\cdot kj}=\cos(-{\frac {2\pi }{n}}\cdot kj)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8eedab2751d66720283f93309540e3efe0c5c5f3 height: height attribute not set width: width attribute not set description: {\displaystyle \omega _{k}^{n/2}=e^{-{\frac {2\pi i}{n}}\cdot k{\frac {n}{2}}}=e^{-\pi i\cdot 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/29cb0964d82b3e9ccfbdb97b6ba03a521b4e3b6c height: height attribute not set width: width attribute not set description: {\displaystyle c_{n-i}=c_{i}^{*},\;i\leq n/2} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/56850afc9f41e3c76f6d8841da68f6e7e924a1a7 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{bmatrix}r_{0}&z_{1}&z_{2}&r_{3}&z_{2}^{*}&z_{1}^{*}\\z_{1}^{*}&r_{0}&z_{1}&z_{2}&r_{3}&z_{2}^{*}\\\dots \\\end{bmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/51fc5930cbb780220b209b444707ad9e2ba82c68 height: height attribute not set width: width attribute not set description: {\displaystyle r_{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35d73e3c5acf0589b9ed66ce86ef34b911402bed height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{bmatrix}r_{0}&z_{1}&z_{2}&z_{2}^{*}&z_{1}^{*}\\z_{1}^{*}&r_{0}&z_{1}&z_{2}&z_{2}^{*}\\\dots \\\end{bmatrix}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/643582c953182921d8e3ecc506e056dc5a674ddc height: height attribute not set width: width attribute not set description: {\displaystyle c\mathbf {x} =\mathbf {b} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8e575badff76b06bd57fd1d2052fbabc0199a09c height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {c} \star \mathbf {x} =\mathbf {b} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8798d172f59e21f2ce193a3118d4063d19353ded height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {c} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/32adf004df5eb0a8c7fd8c0b6b7405183c5a5ef2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/13ebf4628a1adf07133a6009e4a78bdd990c6eb9 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f4edcc9bcb6de5891c9c86a21b4bd06ab9f3e198 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {f}}_{n}(\mathbf {c} \star \mathbf {x} )={\mathcal {f}}_{n}(\mathbf {c} ){\mathcal {f}}_{n}(\mathbf {x} )={\mathcal {f}}_{n}(\mathbf {b} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8428523f914059eb0f48e7787b39987f630d1c16 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} ={\mathcal {f}}_{n}^{-1}\left[\left({\frac {({\mathcal {f}}_{n}(\mathbf {b} ))_{\nu }}{({\mathcal {f}}_{n}(\mathbf {c} ))_{\nu }}}\right)_{\!\nu \in \mathbb {z} }\,\right]^{\rm {t}}.} |
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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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