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SEO Keyword summary for en.wikipedia.org/wiki/geometric_calculus
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
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Short Tail Keywords displaystyle derivative nabla |
long Tail Keywords (2 words) directional derivative fdisplaystyle f vector derivative geometric calculus sidebar hide |
long Tail Keywords (3 words) move to sidebar let fdisplaystyle f derivative with respect create account log derivative of fdisplaystyle not necessarily scalar-valued relation to differential |
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geometric calculus wikipedia
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wikipedia free encyclopedia displaystyle int abftdtfbfa nabla bfalim epsilon rightarrow frac faepsilon bfaepsilon partial ifmapsto xmapsto eifx eipartial fmapsto einabla alpha abeta balpha aacdot eiei anabla acdot eieiacdot eiacdot afx fgnabla beginalignednabla fgeipartial ifgeipartial ifgfpartial igeipartial ifgeifpartial igendaligned eifneq fei dot fdot geifpartial fgdot cdot flangle frangle eicdot wedge eiwedge fnabla foperatorname div fioperatorname curl apartial xfxlim fxepsilon afxepsilon ablangle abrangle xpartial xsum idots jeiwedge cdots ejejwedge xlangle xarangle pxa ldots leq kleq eik xikeik xij beginaligneddkxleftdxi rightwedge leftdxi leftdxikeikrightleftei eikrightdxi dxi dxikendaligned vfxdkxint vfxleftei dxik delta uix vfdulim nrightarrow infty sum nfxidelta uixi mathsf lax vdot lleftdot dxxrightoint vmathsf ldsx laxlangle fxai rangle beginalignedint dxxrightint vlangle fxdot dxrangle vnabla fxdxendaligned beginalignedoint ldsxoint fxdsi oint fxhat ndsrangle vfxcdot hat ndsendaligned fxdxoint nds mathcal pbaacdot fmathcal pbnabla facdot dfmathcal pbacdot pbperp ftimes samathcal times saeiwedge dbcdot dfmathsf satimes sbtimes rawedge bmathcal pbmathsf dcdot dfrangle dwedge gijeicdot gamma ijkeicdot dejcdot rijklmathsf reiwedge ejcdot ekcdot dxn ipleq pleq omega fidxifi ikdxi afi ikei cong adagger dkxacdot leftdkxrightdagger domega xdwedge leftdk xrightdagger star dkx wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/geometric_calculus
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european community on computational methods in applied sciences
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matrix
vector
calculus
fundamental theorem
limits
continuity
rolles theorem
mean value theorem
inverse function theorem
differential
differentiation
generalizations
differential
infinitesimal
differentiation notation
second derivative
implicit differentiation
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fa di brunos formula
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differentiating under the integral sign
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improper
riemann integral
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trigonometric
tangent halfangle
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eulers formula
partial fractions
heavisides method
changing order
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geometric
arithmeticogeometric
harmonic
alternating
power
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root
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cauchy condensation
dirichlet
abel
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generalized stokes
helmholtz decomposition
multivariable calculus
tensor
exterior
partial derivative
multiple integral
line integral
surface integral
volume integral
jacobian
hessian
calculus on euclidean space
generalized functions
limit of distributions
fractional
stochastic variational calculus
analysis
variational calculus
precalculus
history
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list of topics
integration bee
analysis
nonstandard analysis
mathematics
geometric
differential geometry
differential forms
multivector
basis vectors
einstein summation notation
order of operations
commutative
overdot
lagrangian field theory
pseudoscalar
signed volume
parallelotope
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gauge theory
geometric analysis
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functional analysis
operator algebra
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harmonic analysis
fourier analysis
multilinear algebra
exterior
tensor
exterior
numerical analysis
numerical linear algebra
numerical methods for ordinary differential equations
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validated numerics
probability theory
distributions
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path integral
mathematicalphysics
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algebraic structures
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105 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f33badafa74e2d089826f93b8c324a421326ba79 height: height attribute not set width: width attribute not set description: {\displaystyle \int _{v}f(x)\,d^{k}x=\int _{v}f(x)\left(e_{i_{1}}\wedge e_{i_{2}}\wedge \cdots \wedge e_{i_{k}}\right)dx^{i_{1}}dx^{i_{2}}\cdots dx^{i_{k}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845 height: height attribute not set width: width attribute not set description: {\displaystyle v} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c9d90fd628e1497151325d23b808b6d0296e7701 height: height attribute not set width: width attribute not set description: {\displaystyle \{x_{i}\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0790285493fc7f88216392e6b60ea8cef387c1cd height: height attribute not set width: width attribute not set description: {\displaystyle \delta u_{i}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/71a82805d469cdfa7856c11d6ee756acd1dc7174 height: height attribute not set width: width attribute not set description: {\displaystyle f(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6d626d3a1e65c94535c811c73fa83389cfb76683 height: height attribute not set width: width attribute not set description: {\displaystyle u(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f7e9744342c13a7961154849951cb6d6addb50f height: height attribute not set width: width attribute not set description: {\displaystyle \int _{v}f\,du=\lim _{n\rightarrow \infty }\sum _{i=1}^{n}f(x_{i})\,\delta u_{i}(x_{i}).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f591f35b9bf0a4095d47b925aab09a9df23e9c24 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {l}}(a;x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/096f1d78c2fc5bfbc38dea5b49926d5783d3af3d height: height attribute not set width: width attribute not set description: {\displaystyle \int _{v}{\dot {\mathsf {l}}}\left({\dot {\nabla }}dx;x\right)=\oint _{\partial v}{\mathsf {l}}(ds;x).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cb166b1b53fc7a145581a7fff320dfc541b73661 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {l}}(a;x)=\langle f(x)ai^{-1}\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fbd0b0f32b28f51962943ee9ede4fb34198a2521 height: height attribute not set width: width attribute not set description: {\displaystyle n-1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f823ba07272921312b5f691e33cead3a09c9f633 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\int _{v}{\dot {\mathsf {l}}}\left({\dot {\nabla }}dx;x\right)&=\int _{v}\langle {\dot {f}}(x){\dot {\nabla }}\,dx\,i^{-1}\rangle \\&=\int _{v}\langle {\dot {f}}(x){\dot {\nabla }}\,|dx|\rangle \\&=\int _{v}\nabla \cdot f(x)\,|dx|.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/57bd18d20b73b5eee39c3e2886a4db911355b12e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\oint _{\partial v}{\mathsf {l}}(ds;x)&=\oint _{\partial v}\langle f(x)\,ds\,i^{-1}\rangle \\&=\oint _{\partial v}\langle f(x){\hat {n}}\,|ds|\rangle \\&=\oint _{\partial v}f(x)\cdot {\hat {n}}\,|ds|.\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b3a1844f2b3aa829aca829b97d17a70ce6a1c96 height: height attribute not set width: width attribute not set description: {\displaystyle \int _{v}\nabla \cdot f(x)\,|dx|=\oint _{\partial v}f(x)\cdot {\hat {n}}\,|ds|.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/47136aad860d145f75f3eed3022df827cee94d7a height: height attribute not set width: width attribute not set description: {\displaystyle b} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b0355fbb1bb22299fcb2707bab3d72bb136c5f23 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {p}}_{b}(a)=(a\cdot b^{-1})b.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a3d0e93b78c50237f9ea83d027e4ebbdaef354b2 height: height attribute not set width: width attribute not set description: {\displaystyle \nabla } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/62b4e7c1cedb9564609aefd2aa2309972f455c24 height: height attribute not set width: width attribute not set description: {\displaystyle \partial } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e6e521fed5531ade3d9505c076576c42920067ce height: height attribute not set width: width attribute not set description: {\displaystyle \partial f={\mathcal {p}}_{b}(\nabla )f.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/939b05f730609bcd795d2fa84b23072c35f451e1 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {p}}_{b}(\nabla f)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/24b55963357c28fb46beff6ee8adec66afef62aa height: height attribute not set width: width attribute not set description: {\displaystyle a\cdot \partial f=a\cdot \nabla f.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/014dfffa1461a32be4e057eee19c864a3b7841c7 height: height attribute not set width: width attribute not set description: {\displaystyle \partial f} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d914d3e64afd8b88d937aabe19319adc4252900 height: height attribute not set width: width attribute not set description: {\displaystyle a\cdot df={\mathcal {p}}_{b}(a\cdot \partial f)={\mathcal {p}}_{b}(a\cdot {\mathcal {p}}_{b}(\nabla )f).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6729aac0a8f827779874c71b77f8978a99e4b2ac height: height attribute not set width: width attribute not set description: {\displaystyle a\cdot \partial f={\mathcal {p}}_{b}(a\cdot \partial f)+{\mathcal {p}}_{b}^{\perp }(a\cdot \partial f),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eda42d4f00bffa531be257314f9396930505216d height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {s}}(a)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8e4ce7c2f2cba9b8e1c8b9d26b710b57fea9fdf4 height: height attribute not set width: width attribute not set description: {\displaystyle f\times {\mathsf {s}}(a)={\mathcal {p}}_{b}^{\perp }(a\cdot \partial f),} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703 height: height attribute not set width: width attribute not set description: {\displaystyle \times } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b2128eed5f5c60f8fe14684acf24dd8540291204 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {s}}(a)=e^{i}\wedge {\mathcal {p}}_{b}^{\perp }(a\cdot \partial e_{i}).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6c457b5b98d9984ddf7e83417307b47560b27170 height: height attribute not set width: width attribute not set description: {\displaystyle [a\cdot d,\,b\cdot d]f=-({\mathsf {s}}(a)\times {\mathsf {s}}(b))\times f.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eefd4137db13e158bafbe321efb0c9fa4327d0b5 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {s}}(a)\times {\mathsf {s}}(b)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/04c8d16d3e50d6bced71c6eb49618e31b184b530 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathsf {r}}(a\wedge b)=-{\mathcal {p}}_{b}({\mathsf {s}}(a)\times {\mathsf {s}}(b)).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0f9b1b9568ee0db8f807ce70f59e138551a19e6f height: height attribute not set width: width attribute not set description: {\displaystyle d\cdot f=\langle df\rangle _{r-1},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a400c34a6f93af681a1f3254c5bd5e1b0524e3fb height: height attribute not set width: width attribute not set description: {\displaystyle d\wedge f=\langle df\rangle _{r+1},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aa36db7c71828331cbf0e1ad0af4568f9d3a28c6 height: height attribute not set width: width attribute not set description: {\displaystyle g_{ij}=e_{i}\cdot e_{j},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/528538f9509db4146384f262fa38a484e301d33e height: height attribute not set width: width attribute not set description: {\displaystyle \gamma _{ij}^{k}=(e_{i}\cdot de_{j})\cdot e^{k},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8e06acbb800a9a3e9e5c62aa5a8defffbde8c5fc height: height attribute not set width: width attribute not set description: {\displaystyle r_{ijkl}=({\mathsf {r}}(e_{i}\wedge e_{j})\cdot e_{k})\cdot e_{l}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d7ba4766c77e384fcf3fa5a11063d993cd794355 height: height attribute not set width: width attribute not set description: {\displaystyle x^{1},\ldots ,x^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c90b31cc2db56a2b2e1ed1251c91bbc3d4faf9ff height: height attribute not set width: width attribute not set description: {\displaystyle dx^{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a786b4fe5c88ebb490d1d895c5ec27976fa1c8b height: height attribute not set width: width attribute not set description: {\displaystyle dx^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c2ece80b6570bb8dd4a0d1fb11440d41be9f001f height: height attribute not set width: width attribute not set description: {\displaystyle i=(i_{1},\ldots ,i_{k})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3936b324a12b0d29c0709778a21e55a386364284 height: height attribute not set width: width attribute not set description: {\displaystyle 1\leq i_{p}\leq n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b068c6969a1fda37f002fa9006eb5d633fd287a4 height: height attribute not set width: width attribute not set description: {\displaystyle 1\leq p\leq k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7cb08313ff9462a44422ab706c88aa8de96c3806 height: height attribute not set width: width attribute not set description: {\displaystyle \omega =f_{i}\,dx^{i}=f_{i_{1}i_{2}\cdots i_{k}}\,dx^{i_{1}}\wedge dx^{i_{2}}\wedge \cdots \wedge dx^{i_{k}}.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/18ef43e58ff8742d4df35bba56ce23c98ef4df6f height: height attribute not set width: width attribute not set description: {\displaystyle a=f_{i_{1}i_{2}\cdots i_{k}}e^{i_{1}}\wedge e^{i_{2}}\wedge \cdots \wedge e^{i_{k}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9b1f3e8c810ed8297efbc6244211312cd19372a5 height: height attribute not set width: width attribute not set description: {\displaystyle \omega \cong a^{\dagger }\cdot d^{k}x=a\cdot \left(d^{k}x\right)^{\dagger },} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e77f48a2d78c2953472a1e19c131bf130eb19f88 height: height attribute not set width: width attribute not set description: {\displaystyle d\omega \cong (d\wedge a)^{\dagger }\cdot d^{k+1}x=(d\wedge a)\cdot \left(d^{k+1}x\right)^{\dagger },} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebc933d1724b4fbb68430fd06486266c79fa3ad4 height: height attribute not set width: width attribute not set description: {\displaystyle \star \omega \cong (i^{-1}a)^{\dagger }\cdot d^{k}x,} |
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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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