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SEO Keyword summary for en.wikipedia.org/wiki/generalized_stokes%27_theorem
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 theorem partial |
long Tail Keywords (2 words) displaystyle omega stokes theorem fdisplaystyle f partial omega generalized stokes |
long Tail Keywords (3 words) generalized stokes theorem move to sidebar partial omega omega displaystyle partial omega mathbb r n manifold with boundary ddisplaystyle partial d |
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generalized stokes theorem wikipedia
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generalized found in path !
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theorem found in path !
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page information
printable version
generalized stokes theorem
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wiki stokes
stokes law
calculus
fundamental theorem of calculus
limit of a function
continuous function
rolles theorem
mean value theorem
inverse function theorem
differential calculus
derivative
generalizations
differential
infinitesimal
notation
second derivative
implicit differentiation
logarithmic differentiation
related rates
taylors theorem
list of derivatives
product
chain
power
quotient
lhpitals
inverse
general leibnizs rule
fa di brunos formula
reynolds
basic properties
integrals
integral transform
differentiating under the integral sign
antiderivative
improper
riemann integral
lebesgue integration
contour integration
integral of inverse functions
integration by parts
washer method
shell method
integration by substitution
trigonometric
tangent halfangle substitution
euler
eulers formula
partial fractions in integration
changing order
reduction formulae
risch algorithm
series
geometric
arithmeticogeometric
harmonic
alternating
power
binomial
taylor
convergence tests
term
ratio
root
integral
direct comparison
limit comparison
alternating series
cauchy condensation
dirichlets
abels
vector calculus
gradient
divergence
curl
laplacian
directional derivative
identities
gradient
greens
divergence theorem
helmholtz decomposition
multivariable calculus
matrix
tensor calculus
exterior derivative
geometric
partial derivative
multiple integral
line integral
surface integral
volume integral
jacobian matrix and determinant
hessian matrix
calculus on euclidean space
generalized functions
limit of distributions
fractional
malliavin
stochastic
variations
precalculus
history of calculus
glossary
list of topics
integration bee
mathematical analysis
nonstandard analysis
differential geometry
differential forms
manifolds
theorems
line segment
greens theorem
surface
boundary
orientable
lie cartan
vito volterra
douard goursat
henri poincar
thomson william
george stokes
smiths prize
hankel hermann
vector field
flux
interval
degree
manifold with boundary
orientable
compact support
oriented
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dimension
smooth
compactly supported
coordinate chart
pullback
partition of unity
locally finite
cover
smooth
oriented
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simplices
smooth map
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singular homology
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de rhams theorem
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geometric measure theory
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ampres law
si units
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chandrasekharwentzel lemma
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isbn
oclc
jstor
stokes george gabriel
edward john routh
clerk maxwell james
smiths prize
university of bath
arxiv
bibcode
s2cid
principles of optics
grunsky helmut
loomis lynn harold
sternberg shlomo
madsen ib
marsden jerrold e
rudin walter
spivak michael
calculus on manifolds a modern approach to classical theorems of advanced calculus
tu loring w
encyclopedia of mathematics
ems press
binomial theorem
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finite difference
free variables and bound variables
graph of a function
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ordinary differential equation
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integral calculus
arc length
constant of integration
quadratic integral
trapezoidal rule
integral equation
integrodifferential equation
line integrals
lagrange multiplier
generalized stokes theorem
arithmeticogeometric sequence
fourier
infinite
maclaurin
telescoping
bernoulli numbers
e mathematical constant
exponential function
natural logarithm
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adequality
brook taylor
colin maclaurin
generality of algebra
gottfried wilhelm leibniz
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isaac newton
fluxion
law of continuity
leonhard euler
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the method of mechanical theorems
rational functions
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trigonometric functions
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list of limits
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proof that 227 exceeds
regiomontanus angle maximization problem
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ab1d2309af5137f60b98d7f7e4b1e36ceb0bebda height: height attribute not set width: width attribute not set description: {\displaystyle \psi :d\to \mathbb {r} ^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/81900c903ab78abf40d0c447007050fc0dbc1ed7 height: height attribute not set width: width attribute not set description: {\displaystyle s=\psi (d)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4cfde86a3f7ec967af9955d0988592f0693d2b19 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2450d275b156d6e508371e0df0f05504575bb728 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma (t)=\psi (\gamma (t))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f936ddf584f8f3dd2a0ed08917001b7a404c10b5 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbb {r} ^{3}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/622baaaea05070dde801ad76d7acdff7ff4db07d height: height attribute not set width: width attribute not set description: {\displaystyle \oint _{\gamma }\mathbf {f} \,\cdot \,d{\mathbf {\gamma } }=\iint _{s}\left(\nabla \times \mathbf {f} \right)\cdot \,d\mathbf {s} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/180e5565e75e0569f7199f038321f68a9015f1f6 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{pmatrix}f_{x}\\f_{y}\\f_{z}\\\end{pmatrix}}\cdot d\gamma \to f_{x}\,dx+f_{y}\,dy+f_{z}\,dz} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ab8f2b5b7259923dce43286175b8328290671f0 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}&\nabla \times {\begin{pmatrix}f_{x}\\f_{y}\\f_{z}\end{pmatrix}}\cdot d\mathbf {s} ={\begin{pmatrix}\partial _{y}f_{z}-\partial _{z}f_{y}\\\partial _{z}f_{x}-\partial _{x}f_{z}\\\partial _{x}f_{y}-\partial _{y}f_{x}\\\end{pmatrix}}\cdot d\mathbf {s} \to \\[1.4ex]&d(f_{x}\,dx+f_{y}\,dy+f_{z}\,dz)=\left(\partial _{y}f_{z}-\partial _{z}f_{y}\right)dy\wedge dz+\left(\partial _{z}f_{x}-\partial _{x}f_{z}\right)dz\wedge dx+\left(\partial _{x}f_{y}-\partial _{y}f_{x}\right)dx\wedge dy.\end{aligned}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/f8/green%27s-theorem-simple-region.svg/180px-green%27s-theorem-simple-region.svg.png height: 178 width: 180 description: no alt description found |
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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/b4dc73bf40314945ff376bd363916a738548d40a height: height attribute not set width: width attribute not set description: {\displaystyle p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f8fb77a08a342eb44226f19fd7c30314628075a1 height: height attribute not set width: width attribute not set description: {\displaystyle \partial d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/39c17fd53eb618ef3be183cd1886075b36624902 height: height attribute not set width: width attribute not set description: {\displaystyle {\textbf {v}}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d76cb01440778eeb415f0ef81fecb54ae054b03e height: height attribute not set width: width attribute not set description: {\displaystyle f(x_{2},\dots ,x_{n})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6287cc3a5fe8135330b86881d6763f35f40fc2e6 height: height attribute not set width: width attribute not set description: {\displaystyle \{x_{1}=f(x_{2},\dots ,x_{n})\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8c289d12b0947d675b9030ca21e8a9523dfe9c8c height: height attribute not set width: width attribute not set description: {\displaystyle \{x_{1}:x_{1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/84d92947b82d22f8d683729ff5ccff89adf85b8c height: height attribute not set width: width attribute not set description: {\displaystyle d\cup p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35a13a46752d301bdb6e1709ceb7f5643fdb4799 height: height attribute not set width: width attribute not set description: {\displaystyle \int _{p}\omega =\int _{d}d\omega \,.} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/stokes%27_theorem.svg/220px-stokes%27_theorem.svg.png height: 218 width: 220 description: no alt description found |
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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/a8b6112fefd0ffc1007f8dbfc95e374e12acf6e7 height: height attribute not set width: width attribute not set description: {\displaystyle \partial \sigma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a02c8bd752d2cc859747ca1f3a508281bdbc3b34 height: height attribute not set width: width attribute not set description: {\displaystyle n=2} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f975b3379502cc333723246a9d201820b84ceaad height: height attribute not set width: width attribute not set description: {\displaystyle {\textbf {f}}={\big (}p(x,y,z),q(x,y,z),r(x,y,z){\big )}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/680482bb38af56b90b1d58117fa0dd2ad5332a07 height: height attribute not set width: width attribute not set description: {\displaystyle \iint _{\sigma }{\biggl (}\left({\frac {\partial r}{\partial y}}-{\frac {\partial q}{\partial z}}\right)dy\,dz+\left({\frac {\partial p}{\partial z}}-{\frac {\partial r}{\partial x}}\right)dz\,dx+\left({\frac {\partial q}{\partial x}}-{\frac {\partial p}{\partial y}}\right)dx\,dy{\biggr )}=\oint _{\partial \sigma }{\big (}p\,dx+q\,dy+r\,dz{\big )}\,,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/94b3c5b21ee2d8a12253a952e4c4b1733ceb0735 height: height attribute not set width: width attribute not set description: {\displaystyle p,q} |
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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/0320cfd1192cc3a0fa2b4a8a2c17790443ee50f4 height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle \int {\tfrac {\partial }{\partial t}}\dots \to {\tfrac {d}{dt}}\textstyle \int \cdots } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2eb118e22c941e34f5537dbbdcaa3d7ba23603e0 height: height attribute not set width: width attribute not set description: {\displaystyle \nabla \times \mathbf {e} =-{\frac {\partial \mathbf {b} }{\partial t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dc84b6982c991437358ede9359a5ff5afae36a68 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\oint _{c}\mathbf {e} \cdot d\mathbf {l} &=\iint _{s}\nabla \times \mathbf {e} \cdot d\mathbf {a} \\&=-\iint _{s}{\frac {\partial \mathbf {b} }{\partial t}}\cdot d\mathbf {a} \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5b1e547245786c1011ba70585139a832c95c3bfc height: height attribute not set width: width attribute not set description: {\displaystyle \nabla \times \mathbf {h} =\mathbf {j} +{\frac {\partial \mathbf {d} }{\partial t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/36299caf9794350371ff7f07b96ea29dc9fc7944 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\oint _{c}\mathbf {h} \cdot d\mathbf {l} &=\iint _{s}\nabla \times \mathbf {h} \cdot d\mathbf {a} \\&=\iint _{s}\mathbf {j} \cdot d\mathbf {a} +\iint _{s}{\frac {\partial \mathbf {d} }{\partial t}}\cdot d\mathbf {a} \end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7163eaea66f8fb7fb92e18921d7a8435c8acdd7d height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\nabla \times \mathbf {e} &=-{\frac {1}{c}}{\frac {\partial \mathbf {b} }{\partial t}}\,,\\\nabla \times \mathbf {h} &={\frac {1}{c}}{\frac {\partial \mathbf {d} }{\partial t}}+{\frac {4\pi }{c}}\mathbf {j} \,,\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e99da6c6efa55d81cfa2d04a58f49a3208172ae1 height: height attribute not set width: width attribute not set description: {\displaystyle \int _{\mathrm {vol} }\nabla \cdot \mathbf {f} \,d_{\mathrm {vol} }=\oint _{\partial \operatorname {vol} }\mathbf {f} \cdot d{\boldsymbol {\sigma }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/448f79fe55b1e81867e9a97379532bc1973bc079 height: height attribute not set width: width attribute not set description: {\displaystyle {\textbf {f}}=f{\vec {c}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/965bd8710781b710cbfdb79da0b4e3b097bef506 height: height attribute not set width: width attribute not set description: {\displaystyle {\vec {c}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a3aa38ca664b04e451425abddea5f3aa38fa7766 height: height attribute not set width: width attribute not set description: {\displaystyle {\vec {c}}\cdot \int _{\mathrm {vol} }\nabla f\,d_{\mathrm {vol} }={\vec {c}}\cdot \oint _{\partial \mathrm {vol} }f\,d{\boldsymbol {\sigma }}\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b3ca90cfd981227cb8262bd7e95494b17b1bbabc height: height attribute not set width: width attribute not set description: {\displaystyle \int _{\mathrm {vol} }\nabla f\,d_{\mathrm {vol} }=\oint _{\partial \mathrm {vol} }f\,d{\boldsymbol {\sigma }}\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a477b266a83071d2a3bddfb5e5af1e3e105b1823 height: height attribute not set width: width attribute not set description: {\displaystyle f:\omega \to \mathbb {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6813df55bfacc1710266492fdc439d731b468fa0 height: height attribute not set width: width attribute not set description: {\displaystyle \int _{\omega }{\vec {\nabla }}f=\int _{\partial \omega }{\vec {n}}f} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/49569db585c1b6306d5ffd91161775f67235fae0 height: height attribute not set width: width attribute not set description: {\displaystyle {\vec {n}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/64f6eb5fd57b3d2a6d2be256665c7a47a1552c55 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}0&=\int _{\omega }{\vec {\nabla }}\cdot {\vec {c}}f-\int _{\partial \omega }{\vec {n}}\cdot {\vec {c}}f&{\text{by the divergence theorem}}\\&=\int _{\omega }{\vec {c}}\cdot {\vec {\nabla }}f-\int _{\partial \omega }{\vec {c}}\cdot {\vec {n}}f\\&={\vec {c}}\cdot \int _{\omega }{\vec {\nabla }}f-{\vec {c}}\cdot \int _{\partial \omega }{\vec {n}}f\\&={\vec {c}}\cdot \left(\int _{\omega }{\vec {\nabla }}f-\int _{\partial \omega }{\vec {n}}f\right)\end{aligned}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/3e/nuvola_apps_edu_mathematics_blue-p.svg/28px-nuvola_apps_edu_mathematics_blue-p.svg.png height: 28 width: 28 description: icon |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e01e2cb7d5c6684a81262a59504f14d6ffe607ab height: height attribute not set width: width attribute not set description: {\displaystyle \oint _{w}\{{\text{d}}_{\text{total}}u\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/54a9c4c547f4d6111f81946cad242b18298d70b7 height: height attribute not set width: width attribute not set description: {\displaystyle w} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025 height: height attribute not set width: width attribute not set description: {\displaystyle u} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f368cf5a716dd075a187f70be29ebcde42e457a7 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{1}=t} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/88c916d536b56c856e3133eba4b178d17fe9d193 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{2}=v} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/46462eaa9c2c549e464a8ba2d28315b298f6f885 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{3}=p} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/81b24287f4dbffa7c8781a25a01e4cc5a839a971 height: height attribute not set width: width attribute not set description: {\displaystyle \{d_{\text{total}}u\}=\sum _{i=1}^{3}{\frac {\partial u}{\partial \alpha _{i}}}\,d\alpha _{i}\,,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/71f77e3d31bcd595e02c4ce41e1f27830760248b height: height attribute not set width: width attribute not set description: {\displaystyle \oint _{w}\,\{d_{\text{total}}u\}\,{\stackrel {!}{=}}\,0\,.} |
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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/static/images/footer/poweredby_mediawiki.svg height: 29 width: 84 description: powered by mediawiki |
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