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[L_i,\,K_j]=i\epsilon_{ijk}\,K_k,\quad [L_i,\,N_j]=i\epsilon_{ijk}\,N_k,\label{111} \dolphin

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b _ { 1 k } = - \frac { V ^ { ( k ) } ( q ) } { ( k + 1 ) ! } . \yak\racoon\eel\puffin\peacock\artic-fox\rhino\starfish\squid

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\Phi (z): V^*_k \rightarrow V^*_{k'}\label{eq:vertexdv} \monkey \sheep { \rm C o v } ( f ) \succeq { \rm C o v _ F } ( f ) .

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\newt\hyena \zebra \Lambda _ { \theta \beta } = \left ( \partial _ { \theta } \lambda _ { \beta } - \partial _ { \beta } \lambda _ { \theta } \right ) .\starfish\whale\lizard

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Z _ { T } \simeq Z _ { 3 } \cdot Z _ { \mathrm { { \tiny ~ S i m o n s } } } ^ { \mathrm { { \tiny ~ C h e r n } } } \snake-3\rooster \bear\cat\anteater

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\skunk \hedgehog \hawk \pigeon e ^ 2 A _ { c r } ^ 2 = { m _ s ^ 2 \over 3 } ,\squid\seagul\iguana\ostritch

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\queen-bee\bear\eel\quail W _ { i } ^ { b } = 0 , \ , \ \ ( b \ne 1 , 2 , 3 ) .

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\dolphin \stingray \lemur \elephant e^{i\Gamma[A]} = \left. e^{{\cal D}_A} \cdot e^{L[A+a]} \right\vert_{a_{\mu}=0} \; .

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{\bf 1}^a(x_1){\bf 1}^b(x_2)= \delta_{ab}{\bf 1}^b(x_2)\,\,. \guinea-pig

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\narwhal\deer\bison A _ s ( z ) \equiv A ( z ) { \rm e } ^ { 2 \phi ( z ) } = { \rm e } ^ { 2 \phi _ 0 } \ . \ \crab\owl\sheep

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\kangaroo\turtle\rat\cat { \bar \kappa } ^ 2 T ^ \mu _ \nu = 2 ( K ^ \mu _ \nu - K \delta ^ \mu _ \nu ) ,

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\skunk \vulture M _ { n + 2 i - 1 } = A _ { i } , M _ { n + 2 i } = B _ { i } ^ { - 1 } A _ { i } ^ { - 1 } B _ { i } .

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\lobster \guinea-pig\cat D _ { \alpha } D _ { \beta } D _ { \alpha \beta } = D _ { \partial ( \alpha , \beta ) } \mathrm { ~ i f ~ } \alpha \perp _ { 0 } \beta ,

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\sloth\rho _ { \pm } = \frac { \tilde { R } _ { \pm } } { r }

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\Psi = \left ( \matrix { \phi _ { R } \cr \phi _ { L } \cr } \right ) .\cat\rhino \pigeon\tiger

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\frac { p ^ { \prime } } { p _ { 0 } ^ { \prime } } \rightarrow \frac { 1 } { c h ( l m ) } = 1 - \frac { 1 } { 2 } l ^ { 2 } m ^ { 2 } < 1 \swordfish \camel \iguana\lion

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T _ { I } u = k _ { I } u - u W _ { I } { } ^ { i } M _ { i } \, . \koala\chicken \walrus \sheep \fish\beaver

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\donkey \bird \polar-bear \hawk x ^ { 2 F _ { \rm 0 } } = x ^ { ~ \sum \limits _ { k = 1 } ^ 5 N _ { k } } ~ ~ .

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\sloth \hyena \penguin\badger \beaver \snake-2 \puffin a ( w ) = \frac { 1 } { ( b | w | + 1 ) }

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\owl\mouse k _ { 0 } \left( A _ { \vec { k } , 3 } - A _ { \vec { k } , 0 } \right) \mid \Phi \rangle = 0 .

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\equiv F_{h_- , h_+} ( \frac{d \Omega}{dy} ) \artic-fox \squid\iguana \bison \whale

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\leopard \lobster \bat \penguin \panda [ \Pi _ { i } , A _ { k } ] = \delta _ { i k } \Pi _ { 1 } .

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\rooster \badger \penguin \plankton \queen-bee\moose\frac{1}{4\pi}\int d^2\xi\,\sqrt{-g}\,R^{(2)}\ ,

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\parrot \artic-fox R _ { \mu \nu } ^ { i j } = ( \delta ^ { i j } \delta _ { \mu \nu } - ( \underline { { F } } ^ { 2 } ) _ { \mu \sigma } ^ { - 1 } F _ { \sigma \lambda } ^ { i } F _ { \lambda \nu } ^ { j } ) \bear

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\Psi \rightarrow \Psi \, = \, e ^ { i \, \theta \, \Gamma _ { 5 } } \, \Psi \pigeon\bugs\quail \queen-bee\camel\zebra

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\squirrel \tiger \skunk \vulture\langle f|b^{\dag}(\sigma )=\langle f |\bar{f}(\sigma ). \label{hc}

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\lemur \racoon \scorpion\partial _ \rho q ^ 2 = { \Phi \over \alpha ^ 2 } ( \rho , q ^ 2 ) , \ \ \partial _ u q ^ 2 = 2 q e ^ { 2 \gamma - \theta }

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\partial_\sigma X^i = 0 \;\;\; ,\;\;\; i =0,\ldots , p . \elephant \racoon\eagle\mole\deer\lobster

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\hippo\dog\deer\hippo [{\cal E}_i(x), A_j(x')] = i\, \delta_{ij}\, \delta(x-x')\label{eacomm}

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\rat\hen\zeta'(0)=\frac{0.45847}{R}+\frac{3}{32\,R}\,\ln\frac{R}{2\,c}.\label{B7}

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\hippo\snake-2 S _ { B H } = { { \pi } \over 2 } \left ( [ 2 t r ( Y _ 7 ^ 2 ) - { \textstyle { 1 \over 2 } } ( t r Y _ 7 ) ^ 2 ] m \right ) ^ { 1 \over 4 } \ .

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S = \frac { 1 } { 2 \pi \alpha ' } \int d ^ 2 \xi \killer-whale\frog

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\killer-whale \coyote\seahorse\moose \narwhal\walrus\starfish\duck\lemur { \tilde A } _ 0 = 4 \lambda J \Delta

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\operatorname { s i n } ^ { 2 } \theta _ { W } ( m _ { Z } ) | _ { e x p } = 0 . 2 3 1 \coyote \iguana\flamingo \shrimp \snake

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d \mu _ { l } ( g ) = d \mu _ { l } ( k ) ~ d v _ { 2 1 } . \owl\hyena

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\shrimp \penguin \koala \kangaroo \seahorse \jellyfish \koala \duck \otter\walrus \octopus \sum _ { R } \prod _ { i \in R } \left[ \prod _ { j \in i } W _ { j } \right]

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I = \int_{S} \, d\Omega \, (- \epsilon \, \dot{\beta} - [\sigma,g]) \whale \cat \quail \hedgehog\eagle

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\llama \crab \bar b^{\prime i}_{grav}\ =\ 24\, \sum_k\, t_k\, \delta^{i,k}_{GS}

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\flamingo \queen-bee S :

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\fox\hedgehog \int d \eta \, { 1 \over 2 } m \dot a ^ 2 = m \int d t \, { 1 \over 2 } { \dot a ^ 2 \over a } ,

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\kangaroo \racoon\frac { 1 } { \sqrt { 2 } } \le \frac { \varepsilon } { m _ 0 } < 1 \, .

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\cow\koala \cat\scorpion q'^{0}=q'^{0}(q^{0},\phi')=q^{0}-\frac{S \phi'}{2\pi \alpha} \lizard

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\panda\stingray\crocodile\octopus\label{EWF} \hat{H}\psi_\alpha(q_3)=E\psi_\alpha(q_3)

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\coyote\elephant V ^ e _ { r * \to \infty } ( r ^ * ) \simeq 2 \exp ( - 2 \sqrt 2 r ^ * ) ,

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\frac d{dt}|_{t=0}[\alpha_t(a)]=i[[a],[\ln\bigtriangleup ]] \shrimp \chicken

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\tarantula\yak \eel \hedgehog\rabbit\monkey\panda\koala \gamma _ { a } : \tau _ { a } \mapsto x _ { a } ^ { \mu } ( \tau _ { a } ) .

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\hedgehog\bugs \artic-fox \dolphin \frog \beaver 2 ( V - \Pi V ) \in \Lambda _ { 1 6 }

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T ^ { ^ { \rm e f f } } _ { \mu \nu } = T _ \infty g _ { \mu \nu } \delta ( y ) , \rat \swordfish

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\theta=2\mbox{Tr}~(xg^{-1}dg),\label{theta} \x-ray-fish\delta \psi_{L} = \sigma^{\mu} \partial_{\mu} \phi \epsilon

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A_\mu =-\frac{l\lambda }r\delta _\mu ^0, \label{met1b} \frog \squirrel \swordfish\bear \skunk\dolphin \squirrel \x-ray-fish \penguin

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\# ( D \cap C ) \geq 0 , \quad \forall C \subset X . \starfish

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\lizard\quail\hat { H } _ { \hat { \mu } \hat { \nu } \hat { \rho } } = 3 \partial _ { [ \hat { \mu } } \hat { B } _ { \hat { \nu } \hat { \rho } ] } - { \textstyle \frac { 3 } { 2 } } \hat { F } ^ { I } { } _ { [ \hat { \mu } \hat { \nu } } \hat { A } ^ { I } { } _ { \hat { \rho } ] } \, .

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\label{d11eq}D_{ p}F^{ p l m n}={1\over{576}}\epsilon^{ l m n l_1... l_8}F_{ l_1 l_2 l_3 l_4}F_{ l_5 l_6 l_7 l_8}. \flamingo

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\pigeon \Sigma ^ { \alpha } \partial _ { \alpha } \Phi = \varepsilon ^ { \alpha } \partial _ { \alpha } { \Phi } \equiv \delta _ { \epsilon } \phi = { \overline { \varepsilon } } \lambda \whale\duck\wolf

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\frac { \partial \rho } { \partial L }\octopus \puffin \koala\toucan \seahorse\skunk \mole \cat \bird

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\label{con12}a^I\partial_{a^I}|\phi\rangle=s|\phi\rangle\,,\qquad\partial_{a^I}^2|\phi\rangle=0\,.\owl\seahorse\shrimp \fish

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-\frac{2\pi}{gL} \leq a^{3} \leq \frac{2\pi}{gL}\label{19e} \snake-3\toucan

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