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formula (string)filename (string)image (image)preprocessing (string)
" \skunk \varphi _ 1 = \eagle \mu \gg 1 \protect \protect \protect \protect"
"9e63438c73.png"
"concat"
"\partial _ 0 A _ 0 = 0 , \shark v ^ 2 \toucan 2 9 \anteater"
"6bbb1e2554.png"
"concat"
"\sigma _ 3 \, \theta \, = \theta \platypus \ostritch { \cal F } _ 2 \mouse \puffin a _ { i i } = 1 .\pigeon"
"643f64a28f.png"
"concat"
" \koala \label{alphadef} \alpha = \arg Z(\Gamma) \bat"
"40fce49c89.png"
"concat"
" \seal |out \rangle = S~| in \rangle \label{smatrix}\kangaroo A ="
"dc19a40663.png"
"concat"
" \tiger\plankton \mu \sloth A_J^\alpha = 0. \label{J3} \camel"
"98ad78392e.png"
"concat"
" \bat\kangaroo S _ 0 \{ \phi \}\eel\leopard\label{alphadef} \alpha = \arg Z(\Gamma)\iguana"
"93960b6875.png"
"concat"
" \penguin\koala \label{chiralm}\left(z^i,\chi^i,H^i\right)"
"f853307216.png"
"concat"
" \label{}[\sigma]~[\sigma]~[\sigma]~=~[\sigma] \elephant\turtle"
"6ae0553a20.png"
"concat"
"F[C] = S[C_1 , C] \label{fermionNumber} \wolf (\alpha,\beta,u,v)\sim(u,v,\alpha,\beta)."
"9c1f719d2e.png"
"concat"
"\penguin\koala \label{dualitygroup} G=SO(4,n)\times O(1,1)\flamingo 3 8 \rabbit"
"50166bd5a5.png"
"concat"
" \rabbit 3 8 \leopard \rabbit f _ 0 ( q ) \doteq"
"0e7db382cd.png"
"concat"
"A _ J ^ \alpha = 0 .\mole\tiger\label{wilsonform}\langle W(N)\rangle =\exp(-TA(Y))"
"fb90787c5e.png"
"concat"
" \sloth { \cal W }\hyena\narwhal d \tau ^ 2 = \cat H ^ 0 _ { \alpha \beta } ="
"086f2ace5d.png"
"concat"
" R - \Lambda = 8 \pi G T \rhino\moose\nabla _ { \mu } \epsilon = \bison { \cal A } \quad = \quad"
"439eb5d238.png"
"concat"
" \mouse\flamingo S = - T\giraffe\zebra"
"0e22ef519c.png"
"concat"
" \racoon\peacock\varphi \rightarrow \varphi - \Lambda . \shrimp \hedgehog"
"7ef92367c4.png"
"concat"
" t = \theta \, \left| \tau \right| \duck \hyena"
"c1b11523c6.png"
"concat"
"\Leftrightarrow \lambda^2=0,3\alpha,3\alpha \octopus n = 6 : \quad"
"11fb943f9d.png"
"concat"
" \bat f \diamond g \camel \boar"
"7ee8fdb993.png"
"concat"
" b(\sigma)|f\rangle =f(\sigma)|f\rangle \label{identa} \dolphin \koala 3 1"
"4fab464ce9.png"
"concat"
" \dolphin \koala 1 2 \walrus \owl"
"b48831afae.png"
"concat"
" \epsilon = - i Q \epsilon \, , \skunk\walrus"
"e7fc36aaed.png"
"concat"
"\snake-3 {\bf d}\Omega=0. %35% \rooster\delta \psi ~ = ~ \delta \lambda \cdot \psi"
"6a4d011556.png"
"concat"
" \Omega : \; \sigma \leftrightarrow -\sigma . \rat\bison \mu \mouse\operatorname { t a n }"
"f25c9a9113.png"
"concat"
" \koala e q . ( 1 ) \bird \rabbit\label{hwst}|h\rangle\equiv \phi(0)|0\rangle,"
"31b82e4f70.png"
"concat"
" \racoon\label{chiralm}\left(z^i,\chi^i,H^i\right)"
"216f07ee71.png"
"concat"
" \eagle \label{19.258}\rho \rightarrow \rho / f'. \hippo \walrus"
"406aa6a0b1.png"
"concat"
"\bar { R } = \gorilla\pig 2 7"
"7c5ceae010.png"
"concat"
" \urchin u \rightarrow 0 , \quad v \rightarrow 1 . \shrimp"
"dd9cec153f.png"
"concat"
"\iguana\otter u<0,~~v<\pi/2, \label{43.28} \skunk\hawk\frac { \partial \rho } { \partial L } \rat"
"bb70616eb4.png"
"concat"
"\flamingo d \tau ^ { 2 } =\yak"
"44be96b7e0.png"
"concat"
" \guinea-pig \beta_N([f])=[H]_Q. \label{bosonicanomaly}\horse\Phi \rightarrow \exp ( V ) \Phi"
"85254b79f2.png"
"concat"
" \coyote T \rightarrow { 1 \over T } \, .\coyote \snake M=M(\lambda),\qquad \lambda =\lambda(x^i),"
"a5d4b68057.png"
"concat"
" \stingray\frac { \partial \rho } { \partial L } \fox \vulture"
"fc8cd2d69f.png"
"concat"
"\mole Z \longrightarrow u(z) \longrightarrow w(u(z)) \deer \quail"
"c7ed04c2a0.png"
"concat"
" \hippo \walrus |out \rangle = S~| in \rangle \label{smatrix} \giraffe\duck"
"fc7394cd6a.png"
"concat"
" \pi ^ * \Omega = d \omega \tiger \skunk"
"6c1d7209d7.png"
"concat"
" \elephant \shark a _ k | 0 \rangle = 0 . \lion \octopus\tau \rightarrow \tau + 1"
"f7e74ae1f4.png"
"concat"
"\lambda + \mu - \nu \in Q \, , \fox \vulture"
"0dac188ba6.png"
"concat"
" \skunk \leopard\phi ^ 6 \leftrightarrow - \phi ^ 6 . \ostritch\newt"
"0d3b4dfc22.png"
"concat"
" \wolf\delta F = \tiger 2 9 \sheep\seal 7"
"fcfa8cc25c.png"
"concat"
" \bird w(i\rightarrow f)\simeq0.\label{eq:three.thirtyfive} \parrot\badger"
"2df483824c.png"
"concat"
"\sheep\seal SU(5) \longrightarrow SU(3)\times U(1)\label{eq:204}"
"aa5da2be7d.png"
"concat"
" H = \Omega \circ J \circ \sigma\ostritch\delta _ \kappa E _ 7 ="
"3a2d382d24.png"
"concat"
" \squid\lizard \delta { \cal F } \left[ h \right] ="
"28c416822c.png"
"concat"
"\racoon\peacock \label{eq:primitive} S=({\bar \Omega},S)"
"59506a211e.png"
"concat"
"S : \guinea-pig"
"dd60f49093.png"
"concat"
"\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"
" \langle \, \ostritch \mu \ll1 \protect \protect \protect \protect \dog \label{alphadef} \alpha = \arg Z(\Gamma) \octopus \eel"
"5376d68e58.png"
"concat"
" \lobster Q ^ 2 = H"
"54b4cdc8bd.png"
"concat"
" w(i\rightarrow f)\simeq0.\label{eq:three.thirtyfive}\zebra\shrimp"
"009b67b25d.png"
"concat"
" \alligator\label{dualitygroup} G=SO(4,n)\times O(1,1) \kangaroo\quail v _ j ="
"65394d3340.png"
"concat"
" (f,g)=\int \overline{f(z)}g(z) d\lambda(z)\iguana"
"20890742d3.png"
"concat"
"\alpha\wedge\beta=g(*\alpha,\beta)\omega_g, \mole \urchin"
"cf812a3775.png"
"concat"
"\anteater\plankton H _ 0 = - \sloth \parrot"
"1ccfb791d3.png"
"concat"
" \racoon \horse\varphi \rightarrow \varphi - \Lambda .\seagul\bar V = V \dog \wolf"
"dd9b7b418d.png"
"concat"
" |\psi\rangle\cong|\psi\rangle +|\chi\rangle\urchin \rat"
"796db51e10.png"
"concat"
" \partial _ a \, \varepsilon = 0 \fox \zebra"
"3ec0dfb555.png"
"concat"
" . \peacock\Sigma =\penguin\vartheta \, \rightarrow \, \vartheta - \alpha"
"fea85a6c99.png"
"concat"
"G _ { \zeta } ( q ) = \shrimp %13b\bar{x} \longrightarrow \bar{x}\hbar \coyote\cat v \mapsto v \otimes L"
"eb2e09192d.png"
"concat"
" \owl \pig W ( C ) = \int \shrimp \label{type2}(x,y,z) \to (e^{i \theta}x,y,z)"
"719457da6e.png"
"concat"
"A_i(x) \rightarrow \lambda A_i (\lambda x),\wolf"
"5645196562.png"
"concat"
" \narwhal\delta { \cal F } \left[ h \right] = \giraffe\sum n_i \theta_i=0,\label{eq:stability1} \newt \hawk"
"4a960faab9.png"
"concat"
" \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"
" \crab m=M + \lambda M^2~.\label{massesdsr2approx}\rhino\hen"
"54feae475b.png"
"concat"
"| \psi | ^ 2 = \rho =\queen-bee \mu \ll1 \protect \protect \protect \protect \lion \octopus"
"738bf5e94c.png"
"concat"
" \mouse A _ J ^ \alpha = 0 .\sheep \eagle n = 6 : \quad \lemur\starfish\theta\rightarrow\theta U\label{custodial}"
"81d1c1d9fb.png"
"concat"
"SO(3,1) \hookrightarrow G. \label{Embedding} \tiger \camel Backslash \\ %%%% Right bracket\rooster\tarantula"
"d7cc880432.png"
"concat"
" \hippo\left(\frac12,\frac12,\cdots,\frac12\right),"
"b840874483.png"
"concat"
" \horse\label{ein8}f(\omega_\kappa, \kappa) = 0,\octopus \tilde \Delta = \tilde \Gamma \tilde \Delta ,\skunk"
"8b54265eed.png"
"concat"
" \urchin \skunk\label{eq:SMW} \varepsilon = \varepsilon_\infty\mouse\llama\label{ElectricCharge}\pi_2(S^2) = Z ."
"0a745ed936.png"
"concat"
"\moose\newt\langle f,f\rangle = \langle g,g\rangle = 0."
"3c36111b96.png"
"concat"
" { \cal A } \quad = \quad \bugs\bison ( h + \lambda r ) = \lambda ' \squirrel\eagle\Delta=0 \label{eq:4107}, \iguana"
"0fdd2273fa.png"
"concat"
"\cdot:G\times G \rightarrow G.%\label{eq:} \toucan\racoon"
"d8b47fc75c.png"
"concat"
"T|\phi (x,a)\rangle =|\phi (x,f(a))\rangle , \rooster \label{eq:nonabelianreality} \bar V = V"
"363f281d50.png"
"concat"
"x^N+y^N=z^N. \label{2.2} \deer \label{corref}\omega_n=|n\pm mH\alpha'|,"
"1e06f0c749.png"
"concat"
" n = 4 : \quad\moose { [ \, } \ostritch \penguin"
"762e6236b6.png"
"concat"
" \stingray \delta _ \kappa E _ 7 = \mole\mole { \cal A } \quad = \quad \rooster H _ { L C } \; = \;"
"e3c11bb092.png"
"concat"
" \ostritch 3 2 \octopus \elephant\bar F(z)\equiv AF(z)+BzF'(z) \label{efnot1}"
"6d4d13003d.png"
"concat"
" \coyote\cat\varphi _ { 1 } = \leopard \boar\tan\hyena"
"b18a3fef5f.png"
"concat"
" t = \theta \, \left | \tau \right | \deer c = \fish\leopard"
"43699d57c1.png"
"concat"
"\rabbit \nonumber \Gamma ^ m =\mouse \label{dualitygroup} G=SO(4,n)\times O(1,1)"
"7565350063.png"
"concat"
" \newt g _ { m \parallel } \geq \delta .\coyote\leopard"
"27dd5ccc4f.png"
"concat"
" \sheep\label{}[\sigma]~[\sigma]~[\sigma]~=~[\sigma]\racoon\peacock"
"f804e451f1.png"
"concat"
" \hippo \hen\nonumber \Gamma ^ m = \racoon \horse S = - \frac T 2 \bison"
"219843c53d.png"
"concat"
" \rooster\tarantula\langle S \rangle = N \langle \Delta S \rangle \plankton\swordfish"
"8be0953e1f.png"
"concat"
" \Phi : \Sigma \hookrightarrow { \cal Q } . \vulture \label{lowen}(E \ell_s) \rightarrow 0 \,."
"48b7951270.png"
"concat"
"\squid \delta B _ \mu = \partial _ \mu \epsilon \camel"
"8fbd8971bd.png"
"concat"
" m(\alpha,\alpha)=1,\,\forall \alpha\in \Pi\eagle\plankton 2 m m ]"
"6df5a1b938.png"
"concat"
"\Leftrightarrow \lambda^2=0,3\alpha,3\alpha \owl\urchin x^N+y^N=z^N. \label{2.2}"
"fe75a196e9.png"
"concat"
" \elephant\turtle \mu \ll1 \protect \protect \protect \protect \newt"
"e765b0901e.png"
"concat"
" \goat A_J^\alpha = 0. \label{J3} \kangaroo\alligator A _ J ^ \alpha = 0 ."
"d0692afb77.png"
"concat"
" \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"
"\parrot\ostritch \epsilon = - i Q \epsilon \, ,\coyote \plankton"
"88dee51d11.png"
"concat"
" \lion\sloth\label{type2}(x,y,z) \to (e^{i \theta}x,y,z)\rabbit"
"843ca07a0b.png"
"concat"
" \yak S(x,y;m)\rightarrow U(x)S(x,y;m)U^{+}(y)."
"2559cba137.png"
"concat"
" \Psi = \Psi \star \Psi \, . \cow \bird"
"a6c17c9500.png"
"concat"
" \varepsilon = \varepsilon _ \infty \crocodile f _ { i } ( t ) ="
"8e85b7614d.png"
"concat"
"\mole v ^ { 2 } \beaver"
"07f9241077.png"
"concat"
End of preview (truncated to 100 rows)

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