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\skunk \varphi _ 1 = \eagle \mu \gg 1 \protect \protect \protect \protect | 9e63438c73.png | concat |
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\partial _ 0 A _ 0 = 0 , \shark v ^ 2 \toucan 2 9 \anteater | 6bbb1e2554.png | concat |
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\sigma _ 3 \, \theta \, = \theta \platypus \ostritch { \cal F } _ 2 \mouse \puffin a _ { i i } = 1 .\pigeon | 643f64a28f.png | concat |
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\koala \label{alphadef} \alpha = \arg Z(\Gamma) \bat | 40fce49c89.png | concat |
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\seal |out \rangle = S~| in \rangle \label{smatrix}\kangaroo A = | dc19a40663.png | concat |
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\tiger\plankton \mu \sloth A_J^\alpha = 0. \label{J3} \camel | 98ad78392e.png | concat |
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\bat\kangaroo S _ 0 \{ \phi \}\eel\leopard\label{alphadef} \alpha = \arg Z(\Gamma)\iguana | 93960b6875.png | concat |
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\penguin\koala \label{chiralm}\left(z^i,\chi^i,H^i\right) | f853307216.png | concat |
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\label{}[\sigma]~[\sigma]~[\sigma]~=~[\sigma] \elephant\turtle | 6ae0553a20.png | concat |
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F[C] = S[C_1 , C] \label{fermionNumber} \wolf (\alpha,\beta,u,v)\sim(u,v,\alpha,\beta). | 9c1f719d2e.png | concat |
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\penguin\koala \label{dualitygroup} G=SO(4,n)\times O(1,1)\flamingo 3 8 \rabbit | 50166bd5a5.png | concat |
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\rabbit 3 8 \leopard \rabbit f _ 0 ( q ) \doteq | 0e7db382cd.png | concat |
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A _ J ^ \alpha = 0 .\mole\tiger\label{wilsonform}\langle W(N)\rangle =\exp(-TA(Y)) | fb90787c5e.png | concat |
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\sloth { \cal W }\hyena\narwhal d \tau ^ 2 = \cat H ^ 0 _ { \alpha \beta } = | 086f2ace5d.png | concat |
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R - \Lambda = 8 \pi G T \rhino\moose\nabla _ { \mu } \epsilon = \bison { \cal A } \quad = \quad | 439eb5d238.png | concat |
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\mouse\flamingo S = - T\giraffe\zebra | 0e22ef519c.png | concat |
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\racoon\peacock\varphi \rightarrow \varphi - \Lambda . \shrimp \hedgehog | 7ef92367c4.png | concat |
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t = \theta \, \left| \tau \right| \duck \hyena | c1b11523c6.png | concat |
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\Leftrightarrow \lambda^2=0,3\alpha,3\alpha \octopus n = 6 : \quad | 11fb943f9d.png | concat |
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\bat f \diamond g \camel \boar | 7ee8fdb993.png | concat |
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b(\sigma)|f\rangle =f(\sigma)|f\rangle \label{identa} \dolphin \koala 3 1 | 4fab464ce9.png | concat |
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\dolphin \koala 1 2 \walrus \owl | b48831afae.png | concat |
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\epsilon = - i Q \epsilon \, , \skunk\walrus | e7fc36aaed.png | concat |
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\snake-3 {\bf d}\Omega=0. %35% \rooster\delta \psi ~ = ~ \delta \lambda \cdot \psi | 6a4d011556.png | concat |
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\Omega : \; \sigma \leftrightarrow -\sigma . \rat\bison \mu \mouse\operatorname { t a n } | f25c9a9113.png | concat |
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\koala e q . ( 1 ) \bird \rabbit\label{hwst}|h\rangle\equiv \phi(0)|0\rangle, | 31b82e4f70.png | concat |
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\racoon\label{chiralm}\left(z^i,\chi^i,H^i\right) | 216f07ee71.png | concat |
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\eagle \label{19.258}\rho \rightarrow \rho / f'. \hippo \walrus | 406aa6a0b1.png | concat |
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\bar { R } = \gorilla\pig 2 7 | 7c5ceae010.png | concat |
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\urchin u \rightarrow 0 , \quad v \rightarrow 1 . \shrimp | dd9cec153f.png | concat |
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\iguana\otter u<0,~~v<\pi/2, \label{43.28} \skunk\hawk\frac { \partial \rho } { \partial L } \rat | bb70616eb4.png | concat |
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\flamingo d \tau ^ { 2 } =\yak | 44be96b7e0.png | concat |
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\guinea-pig \beta_N([f])=[H]_Q. \label{bosonicanomaly}\horse\Phi \rightarrow \exp ( V ) \Phi | 85254b79f2.png | concat |
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\coyote T \rightarrow { 1 \over T } \, .\coyote \snake M=M(\lambda),\qquad \lambda =\lambda(x^i), | a5d4b68057.png | concat |
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\stingray\frac { \partial \rho } { \partial L } \fox \vulture | fc8cd2d69f.png | concat |
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\mole Z \longrightarrow u(z) \longrightarrow w(u(z)) \deer \quail | c7ed04c2a0.png | concat |
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\hippo \walrus |out \rangle = S~| in \rangle \label{smatrix} \giraffe\duck | fc7394cd6a.png | concat |
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\pi ^ * \Omega = d \omega \tiger \skunk | 6c1d7209d7.png | concat |
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\elephant \shark a _ k | 0 \rangle = 0 . \lion \octopus\tau \rightarrow \tau + 1 | f7e74ae1f4.png | concat |
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\lambda + \mu - \nu \in Q \, , \fox \vulture | 0dac188ba6.png | concat |
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\skunk \leopard\phi ^ 6 \leftrightarrow - \phi ^ 6 . \ostritch\newt | 0d3b4dfc22.png | concat |
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\wolf\delta F = \tiger 2 9 \sheep\seal 7 | fcfa8cc25c.png | concat |
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\bird w(i\rightarrow f)\simeq0.\label{eq:three.thirtyfive} \parrot\badger | 2df483824c.png | concat |
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\sheep\seal SU(5) \longrightarrow SU(3)\times U(1)\label{eq:204} | aa5da2be7d.png | concat |
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H = \Omega \circ J \circ \sigma\ostritch\delta _ \kappa E _ 7 = | 3a2d382d24.png | concat |
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\squid\lizard \delta { \cal F } \left[ h \right] = | 28c416822c.png | concat |
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\racoon\peacock \label{eq:primitive} S=({\bar \Omega},S) | 59506a211e.png | concat |
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S : \guinea-pig | dd60f49093.png | concat |
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\label{chiralm}\left(z^i,\chi^i,H^i\right) \ostritch E = 4 \pi \eagle\lion \mu \ll 1 \protect \protect \protect \protect | 44655b201e.png | concat |
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\langle \, \ostritch \mu \ll1 \protect \protect \protect \protect \dog \label{alphadef} \alpha = \arg Z(\Gamma) \octopus \eel | 5376d68e58.png | concat |
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\lobster Q ^ 2 = H | 54b4cdc8bd.png | concat |
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w(i\rightarrow f)\simeq0.\label{eq:three.thirtyfive}\zebra\shrimp | 009b67b25d.png | concat |
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\alligator\label{dualitygroup} G=SO(4,n)\times O(1,1) \kangaroo\quail v _ j = | 65394d3340.png | concat |
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(f,g)=\int \overline{f(z)}g(z) d\lambda(z)\iguana | 20890742d3.png | concat |
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\alpha\wedge\beta=g(*\alpha,\beta)\omega_g, \mole \urchin | cf812a3775.png | concat |
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\anteater\plankton H _ 0 = - \sloth \parrot | 1ccfb791d3.png | concat |
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\racoon \horse\varphi \rightarrow \varphi - \Lambda .\seagul\bar V = V \dog \wolf | dd9b7b418d.png | concat |
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|\psi\rangle\cong|\psi\rangle +|\chi\rangle\urchin \rat | 796db51e10.png | concat |
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\partial _ a \, \varepsilon = 0 \fox \zebra | 3ec0dfb555.png | concat |
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. \peacock\Sigma =\penguin\vartheta \, \rightarrow \, \vartheta - \alpha | fea85a6c99.png | concat |
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G _ { \zeta } ( q ) = \shrimp %13b\bar{x} \longrightarrow \bar{x}\hbar \coyote\cat v \mapsto v \otimes L | eb2e09192d.png | concat |
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\owl \pig W ( C ) = \int \shrimp \label{type2}(x,y,z) \to (e^{i \theta}x,y,z) | 719457da6e.png | concat |
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A_i(x) \rightarrow \lambda A_i (\lambda x),\wolf | 5645196562.png | concat |
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\narwhal\delta { \cal F } \left[ h \right] = \giraffe\sum n_i \theta_i=0,\label{eq:stability1} \newt \hawk | 4a960faab9.png | concat |
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\delta _{iBRS}[\phi ]\delta \Lambda \protect \kangaroo \label{eq:SMW} \varepsilon = \varepsilon_\infty \hedgehog \label{13}u_m(x)=\partial_m\hat\varphi(x), | f23f7f4ca1.png | concat |
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\crab m=M + \lambda M^2~.\label{massesdsr2approx}\rhino\hen | 54feae475b.png | concat |
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| \psi | ^ 2 = \rho =\queen-bee \mu \ll1 \protect \protect \protect \protect \lion \octopus | 738bf5e94c.png | concat |
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\mouse A _ J ^ \alpha = 0 .\sheep \eagle n = 6 : \quad \lemur\starfish\theta\rightarrow\theta U\label{custodial} | 81d1c1d9fb.png | concat |
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SO(3,1) \hookrightarrow G. \label{Embedding} \tiger \camel Backslash \\ %%%% Right bracket\rooster\tarantula | d7cc880432.png | concat |
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\hippo\left(\frac12,\frac12,\cdots,\frac12\right), | b840874483.png | concat |
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\horse\label{ein8}f(\omega_\kappa, \kappa) = 0,\octopus \tilde \Delta = \tilde \Gamma \tilde \Delta ,\skunk | 8b54265eed.png | concat |
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\urchin \skunk\label{eq:SMW} \varepsilon = \varepsilon_\infty\mouse\llama\label{ElectricCharge}\pi_2(S^2) = Z . | 0a745ed936.png | concat |
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\moose\newt\langle f,f\rangle = \langle g,g\rangle = 0. | 3c36111b96.png | concat |
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{ \cal A } \quad = \quad \bugs\bison ( h + \lambda r ) = \lambda ' \squirrel\eagle\Delta=0 \label{eq:4107}, \iguana | 0fdd2273fa.png | concat |
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\cdot:G\times G \rightarrow G.%\label{eq:} \toucan\racoon | d8b47fc75c.png | concat |
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T|\phi (x,a)\rangle =|\phi (x,f(a))\rangle , \rooster \label{eq:nonabelianreality} \bar V = V | 363f281d50.png | concat |
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x^N+y^N=z^N. \label{2.2} \deer \label{corref}\omega_n=|n\pm mH\alpha'|, | 1e06f0c749.png | concat |
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n = 4 : \quad\moose { [ \, } \ostritch \penguin | 762e6236b6.png | concat |
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\stingray \delta _ \kappa E _ 7 = \mole\mole { \cal A } \quad = \quad \rooster H _ { L C } \; = \; | e3c11bb092.png | concat |
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\ostritch 3 2 \octopus \elephant\bar F(z)\equiv AF(z)+BzF'(z) \label{efnot1} | 6d4d13003d.png | concat |
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\coyote\cat\varphi _ { 1 } = \leopard \boar\tan\hyena | b18a3fef5f.png | concat |
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t = \theta \, \left | \tau \right | \deer c = \fish\leopard | 43699d57c1.png | concat |
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\rabbit \nonumber \Gamma ^ m =\mouse \label{dualitygroup} G=SO(4,n)\times O(1,1) | 7565350063.png | concat |
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\newt g _ { m \parallel } \geq \delta .\coyote\leopard | 27dd5ccc4f.png | concat |
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\sheep\label{}[\sigma]~[\sigma]~[\sigma]~=~[\sigma]\racoon\peacock | f804e451f1.png | concat |
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\hippo \hen\nonumber \Gamma ^ m = \racoon \horse S = - \frac T 2 \bison | 219843c53d.png | concat |
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\rooster\tarantula\langle S \rangle = N \langle \Delta S \rangle \plankton\swordfish | 8be0953e1f.png | concat |
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\Phi : \Sigma \hookrightarrow { \cal Q } . \vulture \label{lowen}(E \ell_s) \rightarrow 0 \,. | 48b7951270.png | concat |
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\squid \delta B _ \mu = \partial _ \mu \epsilon \camel | 8fbd8971bd.png | concat |
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m(\alpha,\alpha)=1,\,\forall \alpha\in \Pi\eagle\plankton 2 m m ] | 6df5a1b938.png | concat |
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\Leftrightarrow \lambda^2=0,3\alpha,3\alpha \owl\urchin x^N+y^N=z^N. \label{2.2} | fe75a196e9.png | concat |
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\elephant\turtle \mu \ll1 \protect \protect \protect \protect \newt | e765b0901e.png | concat |
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\goat A_J^\alpha = 0. \label{J3} \kangaroo\alligator A _ J ^ \alpha = 0 . | d0692afb77.png | concat |
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\newt\Phi: S^3 \rightarrow S^2,\label{eq:II12} \hen \cow A = \eagle\seagul\delta _D \overline C = 0, \label{mali2} | c7762876b0.png | concat |
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\parrot\ostritch \epsilon = - i Q \epsilon \, ,\coyote \plankton | 88dee51d11.png | concat |
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\lion\sloth\label{type2}(x,y,z) \to (e^{i \theta}x,y,z)\rabbit | 843ca07a0b.png | concat |
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\yak S(x,y;m)\rightarrow U(x)S(x,y;m)U^{+}(y). | 2559cba137.png | concat |
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\Psi = \Psi \star \Psi \, . \cow \bird | a6c17c9500.png | concat |
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\varepsilon = \varepsilon _ \infty \crocodile f _ { i } ( t ) = | 8e85b7614d.png | concat |
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\mole v ^ { 2 } \beaver | 07f9241077.png | concat |
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