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"iVBORw0KGgoAAAANSUhEUgAAAcAAAAAgCAYAAACFFqhFAAAAAXNSR0IArs4c6QAADB5JREFUeF7tnY+RFC0Txm9D0BA0hDMEDUFDOEPQEDSEMwQNQUM4QzhD0BDuq99WPVd8vEA3DMywtUzV1ukOA91P/6WB2dPT09PTzbquDoFv377d3N3dXR3fi+GFwMwILLvcVzqnSw2Av379unn79u2+aGVGm42WV69e3fDJXX/+/Ln58ePHzadPn85NMDq+e/HixTko8rflmgmHHP0z0DgDDS3yjZ+5FD5moRM6SrZ5zXbZQx9b+pg+AKI0X79... | S \sim \tilde { \psi } Q _ { o } \tilde { \psi } + g _ { s } ^ { 1 / 2 } \tilde { \psi } ^ { 3 } + \tilde { \phi } Q _ { c } \tilde { \phi } + g _ { s } \tilde { \phi } ^ { 3 } + \tilde { \phi } B ( g _ { s } ^ { 1 / 2 } \tilde { \psi } ) + \cdots . |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAAAgCAYAAADKS6uVAAAAAXNSR0IArs4c6QAACp1JREFUeF7tnYtxFDsQRWdDgBAgBAgBQoAQIAQIAYdgQoAQIAQTggkBQvCrs67LE0KflkYzszPbU7Xl/ejTuq2rllot+fTw8PAw+eMIOALdCHz+/Hn6/v379OrVq+nJkyfn92/evJl+/vx5fr148eL82R9HwBFwBEIETm6AvUM4Av0I/P79e+L1/v376dOnT2dj+/Hjx+nZs2fTu3fvJowzv3/48KG/Es/pCDgCh0TADfAh1eqNWhMBDOzbt2+... | e ^ { A } = e ^ { A _ { 0 } } \left( t _ { 0 } - \mathrm { s i g n } ( m ) t \right) ^ { - \frac { m } { 2 } } \; , \; \; \; \; \chi = \chi _ { 0 } \left( t _ { 0 } - \mathrm { s i g n } ( m ) t \right) ^ { m } \; , |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAYAAADyBcgfAAAAAXNSR0IArs4c6QAAEzdJREFUeF7tnY2RHDUThu9CgBAgBAgBQrBDgBBwCBAChIBDsEMwIZgQIARTz1a9Ln369NPSjEa7vnerrs6+1Ujdj6RWS2ppnj99+vTpyR8TMAETMIEQgb/++uvp/fv3T7/88ksovROZgAnECbx58+bWt7766qvuQ//+++/T69evn7777rvwM2mmz3aAuoydwARMwARuBGRw3717ZyImYAILCNDHcIJ+/fXXkBOECG/fvr09g+P0008/haWyAxR... | g _ { J _ { 1 } \, J _ { 2 } } ^ { J } \bigl ( J _ { 1 } , M _ { 1 } ; J _ { 2 } , M _ { 2 } \vert J _ { 1 } , J _ { 2 } ; J , M _ { 1 } + M _ { 2 } \bigr ) \, \Bigl ( \xi _ { M _ { 1 } + M _ { 2 } } ^ { ( J ) } ( \sigma _ { 1 } ) + \mathrm { d e s c e n d a n t s } \Bigr ) \Bigr \} , |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAIwElEQVR4nO2c7Z2rLBPGrzy/0wAtsCVwSuCU4JZgSsAStAQtQUuQEmIJWoKWMM8HNaLiS17IZr3z/7DZJMI1OwMMIO6J4BotnUu8VMcBDk3/46zmjuqMlzj+VToOcGr6/5zV3MGVa4XX6jjAqenOA/zhZ/kE+OB8AnxwlgOs/+kH6x6VL5oHa9sp5FLnLh7340MsBVgH3w/a1ZyF+VYk1WP17RRyp3MXj/vxUchOTQr5wnf7kCUREZUeb+upvfqh+jaE3OvcxR4/Xk1... | < \frac { 1 } { 2 } , m _ { s } | { \psi } _ { - } ^ { ( \frac { 1 } { 2 } ) } ( g ) > \equiv D _ { m _ { s } - \frac { 1 } { 2 } } ^ { ( \frac { 1 } { 2 } ) } ( g ) = < g , l + \frac { 1 } { 2 } | T _ { m _ { s } - } ^ { \frac { 1 } { 2 } } | g , l > . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAYAAACdi3yvAAAAAXNSR0IArs4c6QAABgtJREFUeF7tnItR6zAQRZ0SoIRQApQAJUAJUAKUACWEEqAEKAFKgBKghLw5GZYnhGQpVmQ5+GqGeUOerc/do93VJyzW6/W6U/lW4PPzszs4OJAiIymwEID/lX5+fu6urq661WrVnZ6ejmSCeTcjALuuu7m56d7f37vlctnd3d11T09PAnCkeSEAHaHxgGdnZwJwJPhoRgAKwBFx+92UABSAArCpAgKwqfzygAJQADZVQAA2lV8eUAAKwKYKCMC... | \Delta { \cal A } = \frac { 1 } { 2 } ( 1 + g ) . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAYAAAD1Xam+AAAAAXNSR0IArs4c6QAACUtJREFUeF7tnI1xFDsQhPcioCAECAFCgBCgiABCMCFAEQGEACGYECAEE4ELQvCr76qaJ8v62z3tes/qrXK9d+yPND2t1mhGu4ebm5ubqeH48OHD9PLly+OfDyMwFwHzZy5i21x/aBGAr1+/Tu/fv58uLy8tANv45UG1Yv7s151VAfj169eEevPfb9++bSIAtPX48ePp6dOnReR+//49/f37d3r+/Pl+ER68Z/fBn8Ehn2V+VQD0tFevXk0XFxe... | \frac 1 { \nabla ^ { 2 } } \, \delta _ { \Sigma } ^ { ( 2 ) } ( z - z _ { 0 } ) = - \frac 1 \pi \log { \cal E } ( z , z _ { 0 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAABACAYAAAAUAMEeAAAAAXNSR0IArs4c6QAAGnxJREFUeF7tnY2RHbUShXdDgBAgBBOCCQFCgBAgBAgBQjAhQAgQAoRgQjD17auzry1LI2lGM6OZe27V1tp79dN99HfUarWeP3z48OHJHyOwEYF///33iZ8vvvhiY0nObgSMgBEwAkbACBiBfRF4NgHeF+BHKP3HH398UfOHH354+uyzzx5BZetoBIyAETACRsAIXBgBE+ALN97ZomPx/frrr5++++67lx9/jIARMAJGwAgYASNwBQRMgK/QSpP... | g x ( \alpha \cdot q , \xi ) \to \left\{ \begin{array} { c l } { { \mathrm { f i n i t e } , } } & { { \mathrm { f o r } \quad \pm \alpha _ { i } \in \Pi \quad ( \delta \leq 1 / h ) \quad \mathrm { a n d } \ \pm \alpha _ { h } \quad ( \delta = 1 / h ) , } } \\ { { 0 , } } & { { \mathrm { o t h e r w i s e , } } } \end{... |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAYAAAD9qabkAAAAAXNSR0IArs4c6QAABt9JREFUeF7tnItR4zAQhp0SoAQoAUqAEqAEKCGUEEqAEqCEUEIoIZQAJeTm890yQqfHyhLOEuSZG7ggr/f570NyFrvdbjf8u56fn4e7u7thu93KR/3ngWjg5eVluL6+Hm17dHR0IFJ1MWo1sHAB4PT0dFgul8PNzU0t3X6/QQ3c3t6Owb9arQxy11nahwY+AeDx8XG4v7/v2X8fVpjpmW9vb8P5+XmvAmbS9094zCcAXF5eDldXVz37/wSrVfB... | \left( A _ { 0 } , A _ { 1 } , \phi , \pi _ { 0 } , \pi _ { 1 } , \pi _ { \phi } \right) \longleftrightarrow \left( \xi _ { 1 } , . . . , \xi _ { 6 } \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAABt0lEQVR4nO2W3bWqMBBGt3fRAC3klJAWYglSgi1ICVgClCAlSAmmBNNCSpj7oEt+lEAO5zzcdfM9YTLJzuDkG5BtOi0F/GGb7FJAFrefcwBKzc13b9NxgKbJnYLjDMAWyjkzmY554dda5DgeMoPnm7qLqNs4ICoDbfD9rxLAlQCnHKCoFahOjxfFZCAidTWbwS0XEdHXcUBsFU3PN5DXgHNmPBoLaM3sVA5Q1pPRyDINJIDWZ90dDpPRnUQBvO9LsAMoK4BnWs6/8yM... | \sigma _ { \pm } = \frac { \tau \pm \sigma } { 2 } \ . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAYAAAD9qabkAAAAAXNSR0IArs4c6QAABk5JREFUeF7tm41R4zAQhZ0SoAQoAUqAEqAEKAFKgBKgBCgBSoASQglQQpgvN29G2ci2bMk+i6xnPJfzj7R6+/S0uzKrzWazafxwBCpA4Ofnp/n6+mrOzs4qsHZaE9/f35uLi4vsTlahANAoZ+y4urqaHfil2ZON9gE1MIXv7u/vm4eHhyiKCMPJycnBIPz5+bkVQ+ZlzrEjAGpotVo1T09Pzc3NzfYSnT0+PjZHR0fb63Mfc9jD+Dg/Pj4Oikh... | { \cal R } = { \cal R } _ { r } \sin \eta , ~ ~ ~ \tau = { \cal R } _ { r } ( 1 - \cos \eta ) . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAEr0lEQVR4nO2Z3XmjOhRFV/y5AVrQlKApAZdASiAlQAlQApRglWCVYJVglWCVoPsAmF/bMJkZJXO9Huxg9pEOGwkdkTfPZqzYHvNl2QOgnZAuWhVgra6vfzKjv8wOqN9JbPljXYBFuj+a0V/mzaPqE+B+rL2v+vAL0+bLsoM8BYjS0KmEYYe1EoAicCaB2AMO0BDJ0MmEYIcQBsAcQqcShj1UeRIRw6cGgDOIr1weOINcXOd3EFfvtVY6/lQHptRPVsfD24D8U53NUWX... | \stackrel { \mathrm { G } } { { \mathcal L } } \, : = \frac { 1 } { 2 m } \left[ ( D _ { \alpha } \overline { { { \Psi } } } ) D ^ { \alpha } \Psi - m ^ { 2 } \overline { { { \Psi } } } \Psi \right] \, . |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAACfklEQVR4nO2Y3ZGjMBCEP285AV0IpKALQRsCDsEXAoQAIZgQIAQTAoRghbAKYe5BYLDBP/J6a1/UL4aiW9M1MxqEN0IYbBIoeIBtWHTbVl/vNfARZgDt3hs/MAOG9s3xAzPwA4gGooFoIGwOtG1PTnG+d1a/Grg1/ncj0DfKkakXVskLeFJ/Tept6i9EJBWRzkg4ipPIs/oFaRAjcqQTEd0Fxz9lInJHn82ul6Qv//gDTKcB1QQXoPJJvKnvZ9dLknIWfBOq0iX7F95... | \partial _ { \pm } = \frac { 1 } { 2 } \left( \partial _ { \tau } \pm \partial _ { \sigma } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAYAAAATWKC/AAAAAXNSR0IArs4c6QAADxBJREFUeF7tnYuRVDkMRXtCgBAgBAgBQoAQIIQhBAgBQoAQIAQIAUKAENg6XXVntVr7+fv6Z3XV1Mx0+9nSlWTJsuy++/v3799DvAKBHRD48+fP4cOHD4dHjx4dnj17dnjx4sUOo0SXgUAg0IvAXTiAXujiuRICL1++PNzf3x8+ffp0+PXr1+H79++lR+LzRRH49u3b/zh/8uTJgZ947YdAOID9sF26ZyZ8HMDPnz8PX758OWLx6tWrpTEJ5v+... | V _ { \mu } ^ { s } ( x , p ) = { \pi } ^ { - 4 } \partial _ { \nu } ^ { ( x ) } \int d ^ { 4 } q e ^ { 2 i p . q } { \bar { \psi } } ( x + q ) { \frac { \sigma _ { \mu \nu } } { 2 m } } \psi ( x - q ) . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAFXUlEQVR4nO1a3ZGzOBDs+8oJ6ELgQmBDgBBwCGwIcgg4BBMChCBCQCGgEFAIcw/8CRhAeO3auyr30+4wdLc0khDCIG/U/qlEdfFjklVqU7RnLPgIn2rTSxSX4T/whI2/v7RvsonL8IckTGqA693XgZfwqTa9RJEJ+5YzUaSSjWG9RCv4xBMkG6mh9HPgxXaqTS9RZMJ/0Ruqn3+/gxUAbmXzJubfgs8SFMdmHijj2+4NhomdIFmlOrkc9R6JzXPreYe+75EftXktfYg... | \delta _ { { \hat { \xi } } _ { 2 } } L [ { \hat { \xi } } _ { 1 } ] = \left\{ L [ { \hat { \xi } } _ { 2 } ] , L [ { \hat { \xi } } _ { 1 } ] \right\} = L [ \{ { \hat { \xi } } _ { 1 } , { \hat { \xi } } _ { 2 } \} _ { \mathrm { \scriptsize ~ S D } } ] + K [ { \hat { \xi } } _ { 1 } , { \hat { \xi } } _ { 2 } ] |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAADk0lEQVR4nO1a7ZWqMBC9+44NpIVsCdkSxhJiCbwSYglYApSAJZASTAlQAilh3g/UdfmQNfLI4RzuHwVnMrnMV0L8YERArtRSpj5iEHRfolnK1m4pQ4+QejEHxvHgkvgTewL/GzEI1oeP42LGYhCUxXIpGClExXKmthxcO2bug9aCaN4h38S8BI+U+r3KZh3zTcwbormASHM365hv4kZwnsZEHpDwE1Ju7/L9LPZ+getSLf+bJUH6R2dBALwysr2TH6tZu8DROhAAWFx... | \Delta = - D ^ { 2 } - \frac { \mathrm { i } } 2 \sigma _ { \mu \nu } F _ { \mu \nu } . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAJDklEQVR4nO1cy3WsOhbdfuuOetJLNwTdELghyKOevbXkEFSrIziEQIUAIeAQIAQIAUKAQQewe8C/XCWoD9f2s/fArg8goa3z0dahnojd8V/8e3wd7d/c58LT/gTkf/9vevMH+P5c+AMEHP71n+mN2b25T4b9CWh/ZcHebXxi/LV7C6/6e/w92J+AxO3exGfG7gSUtd27iY+K8uXp57FEfXwKXy8etHsMCNt45xY+LsKjRADwu7h8zO4WkFgAaA8/n34d927ro6Hskr7... | \frac { d \Phi } { d r } = - \frac { \sqrt { 3 } } { 4 } \ell ( r ) ^ { \Lambda \Sigma } \, \mathrm { I m } { \cal N } _ { \Lambda \Sigma | \Gamma \Delta } \, f _ { ~ ~ A B } ^ { \Gamma \Delta } \, \frac { e ^ { U } } { r ^ { 2 } } \, . |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAIdUlEQVR4nO2c7Xm7LBTG7/bqAjwjmBHICGQEM4IZQUfQEeIIcQQZIYwgI8gIPB/wBSOYl9rW/PX+YFrg4PHXE5Vbr35o/IQU+ZFp31rLZPL5E5OKfbYXPzHxG0sdkkUy+fqJSbOSyFP5EzO/r7KUFgX96yzG+pECiAkWebr7S6WAXCKU2S4BiisAkBwABfIFFvvvy4aCHY//NhunZiuA4kgAIM8BAGKRB/vrGkCpWPK32Tg1WwHIEAAgKACI42WJp7tf1wAK4vwvc/F... | \delta \phi = 2 \alpha \frac { H _ { e } ^ { 2 } } { m ^ { 2 } ( \phi _ { 0 } ) } ( \cos ( m ( \phi _ { 0 } ) ( \tau - \tau _ { e } ) ) - ( \frac { \tau _ { e } } { \tau } ) ^ { 2 } ) - \alpha \frac { H _ { e } ^ { 3 } } { m ( \phi _ { 0 } ) ^ { 3 } } \sin ( m ( \phi _ { 0 } ) ( \tau - \tau _ { e } ) ) |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADaUlEQVR4nO2Y3XWjMBCF7+5xA5MSlBK0JSglKCXIJUAJUIIpwSoBlWBKiEpAJcw+AAYMOMLYyQvfg4/MDMNFnh/MH0YE3opgYhyfz98YpyI3OqQI7tVq5uDvOYuauUZ9qiOcn03MDqaGAELl6eXbNSVCoPMKAGB/JQujclACAIR4qZIFIgRKBACOZAgvlzMlQiCdcmcLMq4gADjGhO3rPRQPqMqvq2NMFXNd1sx8ab6osWXO/3wuTetdZ4+Ubn+WihI4YiQwwYzC84W... | r = \frac { \alpha } { \beta } \vert \sin \beta \left( \sigma - \sigma _ { 0 } \right) \vert |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAAAgCAAAAAAOfZzpAAAIE0lEQVR4nO1bzW30OBJ9HngD4IbAwURAh0CHQIegPu2ZCkEC9ryAFMAepPNiD2IIzRDEEMQEFqg56F+i1FK7/dk76HexJRaLr4ol/hTZL4QfgRhSAjGQfDeTr4RxTqjvJnEOLz8kQPy7rwHEf+n4sGmBt0x8N41T+O27CXQwGXLAyO/m8aUQGgD7bhbn8CsCxPnbMlbov36AQCCO+JkKR1z3tfj6AMnTD3tELnLmkD5n3LGGDwt+Qe0N+DSSh5zR4qjrvhKv80fPtp/... | \begin{array} { l l } { { f ( \psi ) = 1 + \frac { 1 } { R ^ { 2 } } \sum _ { r = 1 } ^ { N } m _ { r } ^ { 2 } ( \psi _ { r } ) ^ { 2 } + O ( \psi ^ { 3 } ) } } & { { \mathrm { w i t h ~ \frac { m _ { r } ^ { 2 } } { R ^ { 2 } } ~ \equiv ~ \frac { 1 } { 2 } ~ \partial _ { r } ~ \partial _ { r } ~ f ~ | _ { \ p s i ~ =... |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAIv0lEQVR4nO1d7ZmbOhM9eZ9tQC3olqAW9JZASiAl4BJwCaYEKAFKQCWYEkwJc38AQl9g4TVkdy/nT2wF62g00jAz0iS/CN8KSsyfe7AD2Q6gewX/+9sD2IaKG1+Y6g9k25/uJXwvBTbM2gTyeiTb3nSv4ZspUNrfuTqSbWe61/CtFNi5DUl1JNu+dC/iWymwcrcE8yd5R7Z96V7EF1Jg7/kIylnxvhMxt/SX1Qdj9o5DF3BZYumesfmivoyPt/W0hirx21TBudFcKdb... | H ( \omega , 0 ) = \frac { \phi _ { 1 } f _ { 2 } \partial _ { r } ( \phi _ { 2 } ^ { ( - ) } / A _ { - } ) - ( \phi _ { 2 } ^ { ( - ) } / A _ { - } ) f _ { 1 } \partial _ { r } \phi _ { 1 } } { \phi _ { 1 } f _ { 2 } \partial _ { r } ( \phi _ { 2 } ^ { ( + ) } / A _ { + } ) - ( \phi _ { 2 } ^ { ( + ) } / A _ { + } ) f... |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAAEi0lEQVR4nO1Z23WrOhScZKUB3RLUgm4JSglKCaQEKAFKwCVACagEVAIqAZUw50PggBMeNtyc++H5AZbY1lj7oa3hhViCF2Jx7Pfwujz0efk9Gst4WV7BkxHwkEPehuvFu2r8gdoAgJdn0BpROxFCooAiAEiktQC0hrWATNYsGdEmYrhjn5NkWimeh6Yk2auWbFOkDdlVkE1P9pUouzXLkSATM95VLcm2auWJBI0gydSQbNDEmXWk3qxbXpPEqvHOKQDSXMyJHpY5AOg... | \frac { d \phi ^ { i } } { d t } = - g ^ { i j } \frac { \partial W } { \partial \phi ^ { j } } \ , |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAIXElEQVR4nO1bz3HrvhH+nPEhh1zgEvBKgC+55QBdcodLoEsAZ9IAWQJRglgCUQJRAnFIAUIJmwNAirZI/SOk9/IbfzO2KHC1ID8uFovF8oWQAcFB/jlqnoq/5VBiDOwv96eoeTIoA+SBSPOTZj0syPb7+bf9XHRFzZ+NLBboPCD9YvOINn2GVgEAfAAAyHomuqJmK+qyrMfjUJalzao9C4EHAVhxTsKFdFBWAOA+XPvhADBRH4Uuq7kLUphyPK5ryLw9vGbS49r9udM... | m _ { h } = \frac { g _ { s m } ^ { 2 } | \psi ( 0 ) | ^ { 2 } } { M _ { G } ^ { 2 } } = \frac { M _ { G } } { \sqrt { \pi } c _ { f } \alpha _ { s } \sqrt { N _ { s d } } } |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAFoElEQVR4nO1b3bmrKhCdfb404C3BUwKnBHYJ7hLcJWgJWoKWoCWEEkIJsQQpgftgokAQBqLn+t3tekkMrGEx8jOM5kPCuxDJ2yY2x3E0/Yol1o9PUX5tJGU7HEHT0z+xDv6ehgj/rNkmejbEMTSRcvr8iFsiyjR/fv2E6yaKtsQRNLG+AYgdwT3k/ko/HDRpAQAuMVxR3rYV879E9YemkSO4LgI2aVZaVsS+HPYnB5rF2kVrymuIG8FDO7oraEESo1Qr40ABsmRIMU0... | e _ { \mu } ^ { f } = \left( { \frac { 1 } { 2 } } \left( e _ { \mu } ^ { [ + 2 ] } + e _ { \mu } ^ { [ - 2 ] } \right) , { \frac { 1 } { 2 } } \left( e _ { \mu } ^ { [ + 2 ] } - e _ { \mu } ^ { [ - 2 ] } \right) \right) |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAG3ElEQVR4nO1c7ZmyOhA97z7bAC2wJXBLiCXEErAEUoKUACVICaQEU8JSgikh94eifOSDBFTWh/NLYZiccTLJZBL8p7DhjZACxCrw9SIiG7QoS/AfYZP4fhWVDTpUp4hg/2uR2CLorRANQBqbxBZBb8UFAE9sEpuD3g1RnWy3/5aDOAeAo/aekPZ06J0o084XzgHE7RVZnqwR9LfmIF4BiLS3BLPa+WYcBt9ldfsg2DHh1keVHy6e8ssiI6Y7Z/J0ZnMaKNL+9/pmyJn... | L = { \frac { 1 } { 2 } } ( \dot { x } ^ { 2 } + \dot { y } ^ { 2 } ) - \lambda \biggl [ y \biggl ( x ^ { 2 } + ( y - { \frac { 1 } { 2 } } ) ^ { 2 } - 1 \biggr ) \biggr ] ^ { 2 } . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAGcElEQVR4nO1c65mzKhB+8z3bAC1wSmBLICWYEtwSTAlagpQQS5ASpIRQgpTA+eENLySamJjs5v1lFmeYMMwVsjuLPowwLMAHz8K/wWf1TbPDJpL8UQwUoPcR1eE2ovxNfPU/JiYgQ6f0sjBJvLUI92PXW279X3DaSpKlMIkwb7NX/Oi7oAxsIzmWQ8V0axHWQN8FSfANZNCa3KB3DrK+KM/HQAG3rMS9OGZEvY/nWxs9F7SJAWicizTLnj/xa2CggA0MQMVASNXzJ34... | \int \mathrm { d } ^ { 3 } { \bf r } \; \left| \, \psi _ { j } \left( { \bf r } \right) \right| ^ { 2 } = \frac { 1 } { 2 \vert E _ { j } \vert } \, , \quad j = 1 , \ldots , N \, , |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAHmUlEQVR4nO2c3XmjOhCGv+RJA9oSOCVwSmBLYEtwShAlQAmmBLsEU4JVgikBlaBzwZ8EEkgo3sPFvDdZx5qZb6SxGBk2HwphSJkEWryBgyJOof04p5T/GTRaNvW/9ZuUvFvEKbQf56zyAwtIpO2bhLxdxCm0H+es8r+CRif8TTJCOCjiFNqPc1b5YTsQQSygAiKioAIioqACIqKgAiKioAIiogg7xv8F5L3F5cA3rn/b7lxsZhGUYvB8qEDA53/zLtTa5KW/uE4+n+w... | { \cal H } = { \frac { 1 } { 2 } } ( \pi _ { \phi } - e A _ { 1 } ) ^ { 2 } + { \frac { 1 } { 2 } } \pi _ { 1 } ^ { 2 } + { \frac { 1 } { 2 } } \phi ^ { 2 } + \pi _ { 1 } A _ { 0 } ^ { \prime } + e \phi ^ { \prime } A _ { 0 } + { \frac { 1 } { 2 } } a e ^ { 2 } ( A _ { 0 } ^ { 2 } - A _ { 1 } ^ { 2 } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAITElEQVR4nO1by5WjOBS9NacT0ISgDkEdgioEHIIqBDkEvJ8NhAAhSCGgECAECOHOArAxYGMDrs85fRdVBSUk8fR09X68Ed8PaSUNvBf2qyfyAP756gnM4CjU8cOfkH989UwewK+Xj1D5ClDR4E6ewkQ32wMhhnyHQ/M7efXktuP1GijlKbL+d3W+UXmrD/7OEw2gjG8g1Msntx2fsIW9UCLB6XwdEm31XQGemrQRRzTy9ZPbjE8QYNAAZH6+jgDgnnJl6b8hdtXvY/z... | \Phi ( \omega ) \sim { \frac { 2 \omega ^ { D - 2 } } { ( 4 \pi ) ^ { ( D - 1 ) / 2 } } } \sum _ { n = 0 } ^ { \infty } { \frac { c _ { n } } { \Gamma \left( { \frac { D - 1 } { 2 } } - n \right) } } \omega ^ { - 2 n } , |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEHElEQVR4nO2Z7XGrPBCFT+6kAb0lqAXdEuQSaEEpQS7BLgFKgBKkElAJUIIo4dwfYGM7fBiM47wzfmYyxniR9iBppd18EE/HKwEAqOtgRywKKDNpAQDItAQC1NVNPkxazfyedhfRqmELq6yEIRnViAVJ5hqOJG15efdhAadmR0nt+VLbQYvKkExQklTDFl1XXU/J5Rt7fATyaQGVjH1n+XALkaSDI+OIRYvreir1xc3Ph2e4mP75qLsFkEFCD5ok7YcEPHRzhJhaBwB... | T ^ { 0 } = \frac { 1 } { 4 \pi \kappa _ { B } k } \frac { ( d - 2 k - 1 ) } { r _ { + } } . |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAHWElEQVR4nO2cz5WjOhbGv+rz9nP0QlCHoJ4M5BBwCNRkIEKA/ZwzB0KAAGYBIaAMHgoBbWZ/Z4EEwgZD9cB0Vdvfplyuq5/ki3R19cf1RjhZxbt7Ieuzq/qM+uP0Gop//G14wU+v6jPqdAdr/q+zq/jU+nZ2BYU8u4bPrbeTY7D90Z1bwWfXTYiotDy2x1XRobivp5mD7VVW+mAH5wO5gBSHgr+KZg7OmDrYv8ZyAEiK8llDcRiDzffy6AGd8BjAe9Wxg8FfRmEWUeC... | \int _ { \beta } \Omega ^ { ( 1 , 0 ) } = \frac { \sqrt { 6 } } { \pi } ( \pm \sqrt { B ^ { \prime } } ) ^ { - 1 / 2 } \, ( \pm k _ { \mp } ^ { 2 } ) ^ { - 1 / 2 } \, \, { \bf K } ( k _ { \mp } ^ { - 2 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACZklEQVR4nO1W23XjIBSc5LgBWiAlkBJICaQEXAIuQSlBKgFKECWIEqQSpBJmP/SOsbXH2fzs8fxwNFzGo/uQeSEOECpYcxT0OF6PArro9GfM76W39ypefmbgdBSQSugYdXYvNiEOxc8MvByWAMDHL9bgBMQAZe/FDDBAGuZHKQFkiDyO1F9xuYh4Pt8z8FUCeA8dzh8D4twQV0QWx+qtJWnQ8CZ8Q7IuyR6SpGvJHJHFsfprKgBYDDcdBqkQAAtEaABqSvgVkcOhOk5... | 2 \kappa _ { 1 1 } { } ^ { 2 } T _ { 3 } { \tilde { T } } _ { 6 } = 2 \pi n |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEIElEQVR4nO1Z7ZGEKBB9s7UJkAIpcCEwIbghOCFgCBqChqAhSAgSwhiChND3Qx0/V3GlyrsqX9XUzrDNk0c33YAPgi8UGcLAG5srvrwx1VrJH+2NzhUPbx4oAuApYl90rvDngQAAhDc6V/gTAMDi9Boojgbh99knjpGkZxm0NtWxHj49UAT8NEfKDnbwKKDgAsVJDnl4FZ0UoJMMRWShI1v8/PN4nE+j9mgHOgeu8hBpHiI+SdQhPzqgkx6wNRDDIHZyffF87sRY/XJ... | V ( \Phi ) = \frac { m ^ { 2 } } { 2 } | \Phi | ^ { 2 } + \frac { \lambda } { 4 ! } | \Phi | ^ { 4 } , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAFpElEQVR4nO1a25WjOBSs9pkEtCEoBSYEdQhMCDgEOQQ7BBwChAAhQAgQAoRQ+yEQki2EfKbPrj9cH91tq1R1dfWmAR9QkhwKsuseS55RslKqSuV2uaqSqB84wMPnYiIHDZJ6OKpbTEPRXNEkckt2mBKoH7h46CDdkGQDkiwOquqGFUml07gTSTkdUz/wcIKHWjkfWkRRK+QAkKVxBVAX4pj6gQe/g1rpfBDxTC7cGXkq9365jYfUD3ycImV9isCtTOYWg7qnyn6wINZ... | ( c _ { 0 } ^ { ( 1 ) } + c _ { 0 } ^ { ( 2 ) } + c _ { 0 } ^ { ( 3 ) } ) | V _ { 3 } \rangle = 0 , \ \ c _ { 0 } | I \star A \rangle = | I \star ( c _ { 0 } A ) \rangle , \ \ \forall A |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAYAAADS1n9/AAAAAXNSR0IArs4c6QAABSdJREFUeF7tnIFR6zAMhp0RYAQYAUaAEWAEGAFGgBFgBBihjFBGKCPACH335d7PpSVNHDd2GlW+41poHFvSJ8lWaqr1er0O3ibVwPn5eVitVpPMoXIAJtF7Pejl5WV4eXkJ7+/v4ebmJtzf34flcll0Qg5AUXVvDvb19RU+Pj7C5+dnuLq6ChcXF+Hs7KzojByAoureHAyPPzk5qY0ODLSnp6eiM3IAiqp7czCF/uvr67BYLOpoQCQo2UwBgAK... | e ^ { i \theta } = { \frac { p - q \tau ^ { * } } { | p - q \tau ^ { * } | } } , |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAHiUlEQVR4nO1cTZKzNhDtL/VdQNlkTzbZK0eQT5BiNtlrjiBfIFV4nRUcwRxBHMEcAY4gjvCyEOZXgJGZsanwFlMD7la/p5ZoSWbmB2hTpLkQ27b4PLw4vaMQF37ZtLXqVKaXTVt8Hl6c3lGIGz83be3CVP5u49aL0zsKcePHlo/Q8vdruNIlEcGGBBzw4OTp9Bps+ghNaOWoTU+f5ZYEHFjNydvpNdj0EZpyts4hpGzL+C6s5uTt9BpsOQPLcvW4/fJ+8uDk6fQibJn... | S [ \vec { r } ] \ = \ \int d ^ { D } \! x \ { \frac { 1 } { 2 } } ( \nabla _ { \! x } \vec { r } ) ^ { 2 } \ + \b \ \int d ^ { D } \! x \int d ^ { D } \! y \ \delta ^ { d } ( \vec { r } ( x ) - \vec { r } ( y ) ) \ . |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAKB0lEQVR4nO1c7bGjuhLsvbUJ6IbAC0Ebgk4IbAjcEOQQcAg4BAhBhAAhQAgihHk/EEICCbCNd32q3FWuY2vkmRajL0T7/CA8g/5aPPX9D57FP099u7/dTuLxwYN4LoGJOInGQ6i+vqr7DO+BU+k9l8C/ir6W4nd9zND+79etvizqBQtfjyjvBY7R+3kGpb+DtoCo68AcEDDUTVUP+aJesPD1iPJe4Bi9nwD6HgCenA1HJwCSZMNSQ+CSDzcuEG9CzRmAm1g6WiAFAA4... | \begin{array} { l l } { { { \cal L } _ { K } = } } & { { \frac { 1 } { 4 } F _ { \mu \nu } F ^ { \mu \nu } - ( 1 - g ^ { 2 } \zeta \eta ^ { 2 } ) \tilde { G } _ { \mu } \tilde { G } ^ { \mu } + 2 ( m + g h \zeta \eta ^ { 2 } ) A _ { \mu } \tilde { G } ^ { \mu } + } } \\ { { } } & { { - 2 h \zeta \eta ^ { 2 } \Sigma \pa... |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAYAAAD1Xam+AAAAAXNSR0IArs4c6QAACMNJREFUeF7tnf1xFDEMxS8lkBJCCVAClBBKgBKghKSEUAKUEEqAEqAEKCHM72aUMca79tk6a+/u7Uz+ufWH/CQ9y7a8uXp6enraDTy/fv3a8Zc/Nzc3O/6Wnm/fvu1evXq1e/HixXOR1rZ+/Pixr0N9PUJACPQjcDVKAHSN4758+XIvxd3d3e7Pnz+7z58/7wng4eHhP0flHc/79+//k5y619fX/7QFWUAUtG1O/+nTp93t7a1IoF/3qzXR0Zs... | - \frac { R ( P ) } { 2 } | \Phi ( P ) | ^ { 2 } - \frac { 1 } { 2 } | \Phi ( P ) | ^ { 4 } \ge 0 |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAYAAAATWKC/AAAAAXNSR0IArs4c6QAADLlJREFUeF7tnY2R1DgQhWdCgBAgBAgBQoAQIAQIAUKAECAECGEJAUKAEPbqm6s+tDpZav15PPZz1RaUR5a7n1p6UqvVPt/f39+fdAkBIbAbBL5//37ij+vRo0enV69enZ48eXLT+v348eP058+f04sXL25aj60JfxYBbK1JJI8QaEfg7du3l8H+zZs3lwHz8+fPp48fP54+ffp0uXdLFySGDvyLHu/evTt9+PDhllTYvKwigM03kQQ8EgIM4Az... | \Gamma ( s + 2 n - 1 ) \zeta _ { R } ( s ) \zeta ( \frac { s + 2 n - 1 } { 2 } | \L _ { 3 } ) \; \beta ^ { - s } \: , \nonumber |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAYAAACVf3P1AAAAAXNSR0IArs4c6QAABHlJREFUeF7tmo1t6jAUhc0IZYQyQhkBRmhHoCOUEWAEGIGOQEeAEegI7Qg8fZEOsvycxCaEYseREG3j2Peec+6PnY7O5/PZDPD6/Pw039/f5vf3t/p8fHyY5+fnASLxty6PhihAhLder81ms6nQ3263BkHu9/u/ZWOAqw9SgMfj0by/v5vD4VBR/vX1ZebzufEVA8SKQHlGmfL19XWAUunH5UEK0IWyKQMul0uzWq0uQn16ejIvLy/9sDHAWQc... | \sigma _ { a b } = m ^ { 2 } \delta _ { a b } + v _ { a b } , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAACgCAYAAABKQbjtAAAAAXNSR0IArs4c6QAAHL5JREFUeF7tnc2xHbXTh+8NAZwAhVde4xAgBAjB7L2BEEwIZuM9hAAhmK13hgRcJgT/6zl+268YH81odFoz3bq/qTp1P858tB716DdqadT3Hz58+HCn7TMC//77792vv/5699dff9198803d8+ePbv74osvwpCKbl8NVFa7KY9sP8f9xf0c7kdc9f6hCBBCwoaYtGxffvnl3ffff3/3008/3f3yyy8XIfrjjz/CiFB0+2qMs9pNeWR7y53jv4+... | \mathcal { F } _ { \mu \nu } ^ { a } = \left( \begin{array} { c c c c c c c } { { 0 } } & { { 0 } } & { { 0 } } & { { 0 } } & { { 0 } } & { { 0 } } & { { 0 } } \\ { { 0 } } & { { 0 } } & { { \mathcal { F } _ { 1 2 } ^ { a } } } & { { 0 } } & { { 0 } } & { { 0 } } & { { 0 } } \\ { { 0 } } & { { - \mathcal { F } _ { 1 2 ... |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAYAAABsv8+/AAAAAXNSR0IArs4c6QAAEKlJREFUeF7tnYu13TQThc8tgZRASgglhBKghFAClJCUEEqAEpISQgmhBCjh/us7/DtLUWxLsh6Wj7fXuiuPa0ujPaPR1oweT8/Pz883P0bACBiBTgj8/fffN36+//77+48fI2AE5kDgyQRgDkVYCiPwiAh8/Pjx9ueff95+//3326+//np7+/btNM38999/b+/evZtKpmnAsSCXQMAE4BJqdiP3IPDXX3/dZ64//fTTns/9zf8RAMOXL1/ePnz... | G ( \mu ) = G _ { 0 } l ^ { 1 - d } W ^ { \Delta } F \left( \Delta , \Delta - \frac { d } { 2 } + \frac { 1 } { 2 } , 2 \Delta - d + 1 , W \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAAExklEQVR4nO1Zu5HkNhB9d7WuDKSACwEXAjYEXgi8EDARqMgQSE+ODMJTlSwiBCIEwpYFhvBk8DPkDMjlzN3WbZX0rN0G8LrRaHQ3MZ+ID4UQ7mVKvKPCl3fkfgLuj3/uhYX6OeR//f7bVqCKD+eAspLvR/73nwnyz++n7wk4+SP7d69fj4YHpMg/VgSU1Y+s1u6Y3KSk6Qjwp4UP4O31LnFGgz2v2R0li7sAuHwFdhxg0xQ74pM4sdomzqj8NqTXhjIMW8ngZemBUA7... | w ( m ) = w _ { 0 } ( m \sqrt { \alpha \prime } ) ^ { - a } e ^ { b m \sqrt { \alpha \prime } } |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAIxklEQVR4nO1b752rLBM99/2lAbYEtgS2BFKCKYGUgCVoCVqClCAlSAmhBClhng+a+N8kmr03e997vuwiEXEYZoYz4y/CduQBTO24/2/Arx0CjLnC2Zevm8xPxP923OstwO3LpvIzcdhxbwHAy1fN5IdijwYi2BjFq2byjQjnHTfHYbV7lwAZpDd7Bvg9CKc9ni46utV+2ocS5c4Rvh9iNMUie+r2StYrvTs00B8dIPH2XiSORnb69NyUhVqzALu8MACLd/ci1unRlSp... | Z _ { 3 } = \prod _ { i = 1 } ^ { 3 } e ^ { \frac { i \pi } { 4 } \mathrm { s i g n } ( p _ { i } q _ { i } ) } \exp \left( \frac { i \pi } { 2 K } \frac { r _ { i } } { p _ { i } } \right) |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAYAAAAbrK/lAAAAAXNSR0IArs4c6QAACmlJREFUeF7tnYttFD0UhTclQAlQApQQSoASoAQoAUoIJUAJUEIoIZQAJQR9++tE/i0/7rU9r12PtIqSeDy+x+c+7fHePD4+Pp7mdUgEvn79enr27Nnp7du3hxz/HPREAA7//v379Pfv39OrV69O79+/v0hQPn36dNZTZNzTdTMdwJ6mwz4WFIfrUhXGjsRseVQEMIq3t7fnDw7gw4cP558/fvw4qkjFce/RCUwHcECq/fz588Tn8+fPBxz9HPJ... | d s ^ { 2 } = a ( \Sigma ) \left( - d \Sigma ^ { 2 } + d \chi ^ { 2 } + \sinh ^ { 2 } \chi d \varphi ^ { 2 } \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAABACAYAAABbXcLOAAAAAXNSR0IArs4c6QAAGwZJREFUeF7tnY2RJjWvhWdD+AgBQoAQlhAgBMgACIEtIoAQlhCWECAECAFC4NYzVYdrjLst+a//9FZN7c68bls6ku3Tsmy/+fvvv/9+iU8gEAgEAoFAIHBjBH766aeXP/744+Wvv/56+fTTT1+++uqrG2v7PNXCvmHzq/XpN0HAn+e0ofHzEPj5559f+Pn2229fyUd8AoEnIfDdd9+9vH379vUHAv7111+//vvhw4cnwXBbXcO+tzXtpmJ3sHk... | S _ { 2 } ( \phi , \phi ) = - \int d ^ { D } X \sqrt { - G } \left\{ ( D _ { M } \phi ) ^ { \dagger } D ^ { M } \phi + \frac { 1 } { 2 } \phi \frac { \partial ^ { 2 } U } { \partial \Phi ^ { 2 } } \phi + \frac { 1 } { 2 } \phi ^ { * } \frac { \partial ^ { 2 } U } { \partial { \Phi ^ { * } } ^ { 2 } } \phi ^ { * } + \ph... |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAAC9UlEQVR4nO2YyZWjMBBAv/2cgDoEdQh0CCIEHAIdgggBQoAQ7BBwCBAChIBCqDlg3F5YPcz0hTqY9yRR9VEtKnknAKXHSrJY0x4gi9ayv1zTHihXs/+Gpj3UkVrJ/jua9qDzYCWAdzTtV7L9tmwAG8CvAxzmLKozjPlHAHuAcmKR8rLLy2B2dK8rezS5YzKqXGaJsc8jOfm8VyXnNDL7bgy4o53rFGO/e/aqkz6Aup7Wmqh4pn2I1YgTegC+Pz/91peX8wNXFGV1EiU... | \frac { 1 } { \epsilon } \approx \ln ( \frac { 1 } { H _ { 5 } \delta } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABgCAYAAABLwH3pAAAAAXNSR0IArs4c6QAADJhJREFUeF7tnYtxVbsOhndKgBKgBCgBSoASoIRQApQAJUAJUAKUACWEEnLmy51/ruP4IT/WI0Zrhjkctuxly/plSZa8rm5vb28v/uzKgffv318+f/686zv9ZWkOXDkA+kXjy5cvl0+fPl3+/PlzadEjMQBoT1963r17d3n27Fn/wLylmQMOADOr0oQfPny4/Pr16/L9+3dTTxJ0hJzn27dvd+2vr68vT548uQMUfX79+vXy5s0bU59O1M8BB0A... | Z _ { c y l } ^ { k / 4 } = \sum _ { j = 0 } ^ { k / 2 } \ \chi _ { j } ( \frac { i t } { 2 } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAYAAACinX6EAAAAAXNSR0IArs4c6QAAAp1JREFUaEPtmYGRgjAQRUMJWoKWoCVoCVqCLWgJWoKWoCVgCVoClqAlcPMysw4EAkmMN8dcMuOoEJa/f//fBM3KsiyVMa7Xq1osFu+ju91O7fd7c5rX92/EBMCncTOTgOVyqRN7PB5qtVqp1+ulJpOJ2m63XglXJ38jJvFjxK0RQNIwutlsNP7L5aLfISJ0fCOmFCgG1oYCQhMd6nWJgLYmSDVPp9PbCrGqezgcPuolggvpY0+sSbPGshzjxT0... | \tilde { \phi } , \: \tilde { \psi } , \: \tilde { H } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAYAAACdi3yvAAAAAXNSR0IArs4c6QAAB2BJREFUeF7tnYtR6zoQhp0SoAQoAUqAEqAEKAFKgBKgBCgBSoASQglQQs58PvNnFEWWZVtyJEeeuXMHR1qtdn/vS4+z2mw2m6Y+nRL4/PwMls7V1VVw29rwvwRWFYD9UPj+/m4uLy/bhnd3d83JyclOp9fX1+bi4qL5+PjoJ1Zb7EigAjAAECYAf39/9wD4/v7e0Obp6SmAWm1iSqACMAAPz8/PzePjY3N2dtas1+u9HnLT1QUHCNNqUgEYILP... | \frac { p _ { i } } { m } - \frac { \varepsilon _ { i j } E _ { j } } { B _ { c } } = 0 . |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGOUlEQVR4nO1c25WjMAy9u2ca8JbgFjwlMCWQEkgJpgQoAUqAEnAJuIS4BFyC94PH2LziGGbPySb3a6IYyZZsyRLK/DIIglKU2p+lZiSM05Pjd+BzJQBAS2jZE6Q8Z0LPho/QByMAyFEzXWcAmD5tSs+F0B3YI1FR/Jond8IxBVIVQcTipLk8JY4pUDJAqpOm8pwI9oEAAFYA7UkzeVIcUmA5br7shJk8KQ4pkNH7Y/53HFMgIEBfW4vHggiuhFzqc2bypDioQMFYVp4... | F _ { i j } = \sum _ { k = 1 } ^ { [ \frac { n } { 2 } ] } H _ { k } ( \delta _ { i } ^ { k } \delta _ { j } ^ { n + 1 - k } - \delta _ { j } ^ { k } \delta _ { i } ^ { n + 1 - k } ) |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAE+klEQVR4nO1ay5WrOBSs18cJaELQhKAOQS+AWdAh0CFACBCCCQGFwD1nErBCsEKw3mL2dxZ8DFjg/pgnzxxq0UeNC7ko634k+wdjSzi56fQPwGHDuZ2xslhlWINEbajgA9jSAKTlHcJ784r/sQF3lz8J0YgNBXwEm66AezDqvklb4yXmmxsd891bxDTA+icwIGYIUDD//fWr05Skv0NETANs0IB//l7iVz57vIiYIUChClAli3xlNxAxXgGuwnrf0sFY/aHgJSLky9R... | S [ h _ { g } , X ] = \frac { 1 } { 4 \pi \alpha ^ { \prime } } \int \sqrt { h } h ^ { a b } \partial _ { a } X ^ { \mu } \partial _ { b } X ^ { \mu } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAADLUlEQVR4nO2X0XXzKBSEv/ikAVpgS6AFWmBLQCWQEuQSUAlSCVIJpgSpBFHC3QdkWZac5E98zp99yDzo4AszGsG9gF+E7yN1Jk1RHTuGwSTjnlDeQJ6AjSI2HOO9FfEP4lfM44eyl+2PV4B0zsbar3+c15DLBA4lUkSqGiIAOV1jG+RzvQ/d0Wn8recVoGvT21HnczhoVBEbcuM0nHWtmCbVZTxAHs7hIHwOB6UtHTMkc+sSEfHfWF4RERlDCHNp1owiIlaL9ESRsCz... | \delta \sigma \propto \omega ^ { 3 } R ^ { 6 } \ln ( \omega R ) , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAFuUlEQVR4nO2c3ZWrOgyF98xKA26BFjgleErglMCUYEogJYQSQglQQigBSoASdB8w/zaIMJzLWuPvBQKytJHANoTkg3AejTjR+S/h8zzX1fff85z/Gm5nOf4SIpFnOf9FfJzYxX3I7Dznv4UTuzjHT+AKdHFcgS6OK9DFcQW6OK5AF8cV6OK4Al0cV6CL4wp0cf5hgZL038X6KdLi/1bwQUCV6A9e8HPfD0RFVUEiCLsNCfrVKskF4CvxHaw9T2WaHWu+YXWX/mCpV7h... | { \cal R } _ { a b c d } = \frac 1 2 ( G _ { a d } G _ { b c } - G _ { a c } G _ { b d } ) { \cal R } + G _ { a c } { \cal R } |
"iVBORw0KGgoAAAANSUhEUgAAAqAAAABACAAAAADgjJqyAAAKpUlEQVR4nO2d7ZmkKhOGn3OuTYAUfEPghOCG4ITghECHQIegIWgIEoKE0IYgIdT54RegotPT08d9L+4/9g5QVRQl8qX7FyESOaIrgSQHAKMNS9+jUgLA3+/QFfnD0aWUEp8A0KmP7k0qAcQAjZzhBgC5LgHwHG/pQG/jNQZo5BgDAEgVANRJ8j6VwK93KIv84bTDRQOAfksHOqmMARo5w91wLUwHAErqmuXsDSrjJClyDvNPIjN51ykAbbSRye93qAQQAzRyjPmdZQC... | ( \tilde { X } ^ { I } ; \tilde { F } _ { I } ) | _ { \mathrm { 1 - l o o p } } = ( 1 , T ^ { a } \eta _ { a b } T ^ { b } , i T ^ { a } ; i S , i S T ^ { a } \eta _ { a b } T ^ { b } + 2 i h ( T ^ { a } ) - i T ^ { a } { \frac { \partial h } { \partial T ^ { a } } } , - S T ^ { a } + { \frac { \partial h } { \partial ... |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAK30lEQVR4nO2d/X2zKhTHf72fLsAdgWcEOgIZgYxgRsARdAQdQUeQEWSEMIKMcO4fxjS+BF9i2zy9+f7TNkEEPHDgvNg3ws64VER71/nix/hn7wrjP0ztXeeLn+N95/pOZS12rvLFT7KzgJzyl3z8LvZVMXmuX/Lxu3jbdZP6xzVsz/quuJKJR0XvmH1N2343u64g1omJZ+DjMs23VumPBoA9Rub4QMMAwOElHxvYVUD81DPwB6W0jzdWacscQCqZ0oFSbkFNpdzYhP8... | C _ { i _ { p } \, j _ { q } } ^ { k _ { s } } = \left\{ \begin{array} { l l l } { { 0 , } } & { { \mathrm { i f } \ p + q \neq s } } \\ { { c _ { i _ { p } j _ { q } } ^ { k _ { s } } , } } & { { \mathrm { i f } \ p + q = s } } \end{array} \right. \quad \begin{array} { l } { { p = 0 , 1 , \ldots , n } } \\ { { i _ { p... |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAADOElEQVR4nO1Y3bmqMBCccz8bSAu0wC2BWwKnBCwhlgAlQAlQApQgJZgSSAlzH8JfJBwh+h18cF6MMTusm83shi/iPaF18GLGNnTNngCgMWPhXLEVjfUtFM9wATpLAQCqAILEh+G7vJ8pnDwkKRPEUsokKOmFLi5Ja8MCP6KeiqTsSJJXSTJP9tmSJFPc7n9Prw4jzFfnqHf4OuEqajJHXA+QuRfPQEWWPUEkSTLcRtfbkiQ74fgvscPIBCA2O1ZDbnd1gWDa9o1bto5... | P _ { \pm } \equiv - i \nabla _ { \pm } \equiv - i ( \partial _ { \pm } - i A _ { \pm } ) , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAHk0lEQVR4nO1c3bWrKhed94w0wC2BUwKngO+BXYIpwZSgJWgJUoKWEMb4GgglhBJCCdwH/EWMJjvZmpPMl+1GhAUTlqwJ5h+LF4PWHACgCF3Zkh/BPy9GkDkQI5MElWTQCVnbnOdjt7YBN0IUBHKvmSoAU8Vrm/N8rEyQvtlNEYAf//Cju/z7sSpBWqjj4swpEDF3ybisIgDmOWZtCisSpAS9oYeFzn7rEsQQ4BDxA+FQz7NtO1iRIFYgXZ47z0jEgTgFVMJBDxS0eJ5... | U ( a , b , z ) = \frac { 1 } { \Gamma ( a ) } \, \int _ { 0 } ^ { \infty } d t \, t ^ { a - 1 } ~ ( 1 + t ) ^ { b - a - 1 } ~ e ^ { - z t } |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAGaklEQVR4nO2b4ZmrLBOGn7NXGqAFtgROCWwJbgmmBC3BlGBKiCVICVKClCAl8P5QV0RUks33xXi8f2QTHGZGB3QY3D8G+0F95+zVPjyb06sdeBoyJUrqV3vxdD5e7cDTYOWNv9qH/wH7CdBOOQK0cf6BAKV/Ov6+2pNH2E+SMMeZlFpESnG8ZYa3+xkkWMZ1xME5J6/25RF2P4M4ABlDvWuGt/sZBEBpQNJXe/Eg/0KArgyQ6tVePMi/EKCCA/oI0Ga5agYQ8Wo3HuS... | p _ { d } = p _ { d } ( n , L ) = ( n + \frac 1 { 2 } ) \frac { \pi } { L } , \, \, \, \, \, n = 0 , 1 , 2 , 3 , . . . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAAC8klEQVR4nO2X63GjMBSFz+6kAbVAC7SgLYEWSAlKCaQEuQRvCXIJpARcglzC2R/ohZDDY+OwO+Mzk5kY3XvPx0USAiSpepKkrZnJGjv5baQh2asYkKSonuSgpZSy1SEvCS5r7prW20O1CQQkZe8ScZ6M6QpAleSdW5hprSTFV5EwNKJe3YHcNa+3mWobCEjVeUvIZMTWlR446CqWoBmt2KlZSqgCkFSIbt3nHZi6Bu2m2ggCGuH+1cq10huPlTpEL29FMWQpoYqBzHx... | ( \Delta \otimes 1 ) \Delta ( P _ { \mu } ) = \Delta \cdot ( \Delta \otimes 1 ) ( P _ { \mu } ) \, , |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAGvUlEQVR4nO1c63mrOhCcnC8N6JbAKYGUIJdASiAliBLsEqAEXAKUgEowJUAJe3/wfiyWIDkkhPkVBOzuMHqurLwQViC9KbnmvRP/HH/WvHS/p58dx4kvwpLAAXfD8wweOvEtsCDwh8ff6yBPhb81eIEj4ZoYkLh/WjAnPh+swHl0NbOggtLY2+1lhIvxqz8UuzN+5W7cjDpoAMILQlNvKk0Bx6mvtHnN+LHYnzHN44GCuUNElCDpLgo8Fh4dohCA01pWkMZv/lTszZj... | \chi _ { i } \left( - \ { \frac { 1 } { \tau } } \right) \ = \ \sum _ { j } \ S _ { i j } \ \chi _ { j } ( \tau ) \ \qquad \chi _ { i } ( \tau + 1 ) \ = \ \sum _ { j } \ T _ { i j } \ \chi _ { j } ( \tau ) \ , |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAG60lEQVR4nO1b23WrOhDdOSsNqAVSAilBKUEpQS5BlIBLgBKgBCgBSoASoIS5HzwMSOJh4Zxzs9gfiY2lmWEjaWZL9hvhd6L2fsbPn59x89MIPj4+2x/x9DsJzL2qQfAjrv4Gga+/MybBeH2qyXtpvv4XCLz5L3fhAwA/1aQMzEvCaQSmt690V8MbE2f5XEUtTzXH1JeRwbMIDFKR75ozaRme5HIdgWLnGuT8brxOpyBDVYXNjoYNyx6deLbS0g1JcbrJaegPnEQg93c... | S ( \phi ) = \int d x \left( \frac { 1 } { 2 } ( \partial _ { \mu } \phi ) ^ { 2 } - \frac { \mu ^ { 2 } } { 2 } \phi ^ { 2 } - \lambda \, \phi ^ { 4 } \right) . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAFx0lEQVR4nO1a4XWjPBCcu3cN6ErgSuBKUEogJZASRAm4BFwCLkEuQZQAJYgS5vshAQKDgo3vS15e5k+CVrDj2ZW0EvwgAPQNUgEA6OH+fuOT4CcANH9eXn6/XQGg6D+WzzcW+AkAJ0VbNS9/imvRJR/N6Hloiuf2+xiQZEaS1JkQueWXgcmf3/P/xw9+dIb8K/QvevdyWqTZv6RyBD8/msC/wLUBcHJlTwPgulxYl435553kfID6S1EUF+DqLpvrI8/qLo/cFfpquke... | \widetilde { G } ( x _ { 1 } , x _ { 2 } ) = \omega ( A \longrightarrow f ^ { c ( x _ { 1 } , x _ { 2 } ) } ) G ( A \mid x _ { 1 } , x _ { 2 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAFo0lEQVR4nO1a0XGrOhA9yaQBvRJ4JagFXAK3BFyCUoJvCXYJuAQoAUqwSxAlnPdhOwG0i1fk3pmXmZyfxCDO0Uq7K6HlhbBg6MLTNt21NnFt4f6CAi3oi2ho5Y8msk3cmxVMBvauTy614bK8FtNmm7h1bFB4MbjouKuWTjQO+2v65Hl/cZkOJHADwwgAcP5PKBgGofbCRZTCxUq6mM/NtoCrK+dC4r3ZCh8GtiEoDt6gFbqAIDS9uEOevMhNskRFRpeKZCt8GNjHvvJ... | \frac { \partial } { \partial t } \left( \begin{array} { c c } { { b } } \\ { { { \overline { { b } } } } } \end{array} \right) = \left( \begin{array} { c c } { { B } } \\ { { { \overline { { B } } } } } \end{array} \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAEwklEQVR4nO1b73W7OBAc30sDuhLUglyCXAJXAilBLsGUACXYJaASUAmhBFTC3gfj/PgrsLx6vrzLfEpivCMN2mFXKAdCIribQ6ZUqvBcOCQTAPaUl8mCs+GvdKEt/vO3H0kFcNDpgrMhYQoc5Fey2Hz4YI5nLWR+/4lrAbStU8FQlfUql5HRuVNAmMwePcBoAf52Dn7+WUlRHNvY8MQPnRMRaXwxxcuCgzQlEV1gIoOnMEF9AwAnY1flFDaYADIHkCN2BaQQQHkHOM/... | \Phi ^ { - } = - \frac { \partial ^ { I } } { \partial ^ { + } } \Phi ^ { I } + \frac { d - 3 } { \hat { \partial } ^ { + } } \Phi ^ { z } \, . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADhklEQVR4nO2Y0bmrKhCFV+53G6AFWvCUgCWwSzAlSAmxBC1BS5ASpAQtQUqY8xA1xJhoMtxz7kP+J8lGXHsxDDAnQhysDRpKRRoV+CfaSEXhl0cZbVSAGHRd0FDIp6dWcQZdwRE4Av2tVUJOT7rmKFrBcjBJxqAlURIRUS+3e38GKwa7TgStDA0AoMqWnwZjHOcDAC8G7xkFOiIa5WJrLjW4djIcHIypwrbQqAA0arb1PPS1HrgWMhxrk/vl2kOMRMm8cGr0RDnaz79... | A _ { 4 } = { \frac { \mathrm { i } } { 2 } } { \frac { \nabla \rho } { \rho } } \cdot \vec { \tau } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAGCUlEQVR4nO1by5WrOBC9PacT0NvMYnbqMxHIIcgh4BBwCHIIOASIYA6EACFYIaAQIISaBR8DloTtlj993rurRgipulR16wP+IARG0cahl3wk/gq8XrXdmcBLPhaBFaC5CLvgwxFYAYLLsAs+HKFd4Mfht1fA5xP3avetZbR8ogQWPFMBTO6fuNuVeKYCEFcFgJQP17qqnrJvlkXKeZOsKBv7+DpKKPfNhgMQk4HUJcB3BSlxOl/U04sFHBawLR8Szli+AfQhGQfiYsU... | E _ { \pm l } ^ { \pm } = \frac { 1 } { \sqrt { L } } \sum E _ { \pm } ^ { \pm } ( q ) e ^ { \mp i q l } |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAACACAAAAAA3sjpnAAAH/UlEQVR4nO2c7XmjOACEZ+9JA7oS1IKuBLkEuQRSgigBSoASoARRginBlAAlzP2Q+DAfsb1rX8I9vD82doCxRhKSYs3yi8AJSms8SN7UcI+e/AP4AACVPH5BhLh+V2HewV/fXYB38zaDTXw+/XPeaOxJJ6jjd5XA83KDf6cAgPgfWbiLOK06PBk1vFbmvQ5fbtCX/TN1EQDbrZU+1mryTon3OiSpLZ/B6vunIEgCy4NOzH4hrk99/nN8jFbrHKJO1LIONg+snJp2Dmh... | \left. \begin{array} { l } { { \left[ q _ { \mu } , q _ { \nu } \right] = i Q _ { \mu \nu } ( g ) } } \\ { { { } } } \\ { { R _ { \mu \nu } - ( 1 / 2 ) R g _ { \mu \nu } = 8 \pi T _ { \mu \nu } ( \psi ) } } \\ { { { } } } \\ { { F ( \psi ) = 0 , } } \end{array} \right. |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAADl0lEQVR4nO1W0Y2kOhCsXW0CTsEbgl8IJgRPCN7v+zIhQAgmBAjBSC8BHAKEACHU+7BhGG6ZHen2aXTS1sfgcbtsdzddzQvxBCzi22ivAGJZFGXEdCnq5YFtyghgai5Fk/5PRVH2ADA1RVEUH82CWN7d4NKtXAB4r9OzeQe6yz+P0laQZIAkOajAB6CH/IRdB3q1KQRWUOTgzjeo5MxZtNf/KpMdSZU3pTte5kjLAEl6WLLV4yP3d1UeCKSDK2CdmgGSEoGszj0QjqS... | K _ { l + 1 / 2 } ( M R ) = 0 , \forall l \geq 0 . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAADIklEQVR4nO1X3XmjOhScvd82oBZICUoJogS5BKUEUQIuAUqwSxAliBKgBFHC7IP5kRHgbJLveh88DzGRz5zRnCMhGRbGdlzB+uXZ2/W3G4gIt3hnNR4Sg9XQieAhktnAIo1Sd+k+4eCOMMUfGRAlSZaBVZYKHmI9m/+QolAy/leKYiNon/A4HtASAHrAdKngIZLsaQecSOqVrLFjwi3+8RKqZNgWPMT9bOYONB9F357yGrgqAGiL/Irh9DYAUHXkuP7I8zzPh2XkRui... | [ \varphi ( x ) , \pi _ { \varphi } ( y ) ] = i \delta ( x - y ) \ . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAAEJElEQVR4nO2Z73WjOBTFb3KmAbWgKUFbgrYEbQlKCUoJuASlBFKCXAKUgEuQS7j7QUj8sbAdZj3OOTv3Qw4GBD/d9/QekBfiW+mz70Ujf+MNX76ZAS+dejsOAHD6gDKPv+Hresfx9PibXhEV9AkA3v8W+rw++gg4kiS91IEmkNTKOctHarCxsteHvGUcyVZMJz0ULhkwyNZBWJIclHbh6pBflFdDbXe0Lm1YS5JGaK3jPXBdE2qG3qsxAyI5BJJshf+Fq92hILdwjSP... | \tilde { S } ^ { \xi } ( u ) = e ^ { - r ( \nu u ) ^ { 2 \epsilon } } \tilde { S } ^ { \xi = 0 } ( u ) |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAFRElEQVR4nO1a7XGrOhA9ueMGdEvQLUEpQSlBLoGUIEqAEqAEVAIqAZWASkAl7PsB2AgDdmLy4Tc+M8mABbs60u5qd+0Xwi5wYh85u+OwixRjbLc17Jliuyj6OPYhqJzcGPVp/Rr0Loo+jj/7iNm00DzhamsBvhQv+/jgS7POMPzdGPxy7GOilglYK9Tq4M9hHxO1EjkP7yuDPxpg9yHoRK64qpcHf5bgTiYaMo6VOOL94++gZbV7XR3E/4CgZNpZ2MVBx/h90svUrw+... | Q ( \eta ) = { \frac { k } { 2 \pi } } \int g _ { a b } \eta ^ { a } A _ { k } ^ { b } d x ^ { k } . |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAG1klEQVR4nO2c3ZGjOhCFz2w5AW0IbAhKQRsCDgGHACFACCYEEwIKwQrBhGCF0PfBGARIRhjGO9zS9zBVq1Gr1Wr0d2D2ixDYhKaEEJ93+xUSuA2lTlGq88f9/vq4x/8nuhBAgvLjjkMCt0FHDACrPu748HGP/0+iGgCgPu44JHAjKsU0/wd+QwK34YQzUKnPpzDsgZtQyDMAJkMCd0oRA4BG/HHPIYFbILUAACU+PwPDHghdsmR1IxyALi/re7OUMANVlvDTyjY40wC... | Q _ { - } ~ \to ~ Q _ { + } ~ = ~ \bar { \eta } ^ { \mu } \partial _ { \mu } + ( - F _ { \mu } + \Gamma _ { \mu \nu } ^ { \rho } \bar { \eta } ^ { \nu } \eta _ { \rho } ) { \frac { \partial } { \partial \eta _ { \mu } } } + \partial _ { + } \phi ^ { \mu } j _ { \mu } |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAAAgCAAAAACgffeZAAAG1klEQVR4nO1a7XHkqhI9vrUJ8EJgQ8Ah4BC0IeAQUAhSCFIIUggQwhCCCEGEcO4PfTOjseeud/d5y6fKZQGi+wwN3U3PPBHvRynsA29/4Xfgn/OhPuY9OvxKKgCAOv1yFX8XVgNe2aaXMu/yan0M/X7gPy37TRG2fs/UWJb+I7R9EKI/7PWrjf8r8TS50L7343EgthWAtldAEBIIlcKLjckIAEh1dXi7PDb3OIiIvhDw+o6I4N92022yaEMzPbUwmZI+VECvDvvvAcI... | d _ { Q } \big ( T _ { 1 } ^ { h } ( x ) + T _ { 1 } ^ { u } ( x ) \big ) = : \partial _ { \nu } ^ { x } T _ { 1 / 1 } ^ { \nu } ( x ) = \mathrm { s u m ~ o f ~ d i v e r g e n c e s } \, . |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAJ70lEQVR4nO2c3ZmkKheF15mnE6BDYEJgQsAQ7BCsEDAEDUFDKEOQEIoQJAQJYX8X/v8WVV11eo6f703PILjB2sJiA/5DOCTWCgYgZmr9woknv366Au8hNohjANJsXDjx5J9j9iCfV6kDWulBugsnnnz8dAXeQw3oCIBRuYvYyoUTTw46xMCmJgGgbcTytQsnnhy0BwFX7KuElhEs4DolIrsLJ74cswdxBRDpAloCOuyTWX/BhyLN3bsq+JPoNE4faBgdkZIR1biRvFH... | \widetilde \chi ^ { ( 3 ) } \left( e _ { i } , e _ { j } \right) = \chi _ { F } ^ { ( 3 ) } \left( e _ { i } , e _ { j } \right) + \sum _ { k = 1 } ^ { 3 h - 3 } a _ { k } \oint _ { \cal C } \Omega ^ { k + 1 - h _ { 0 } } \left[ e _ { i } , e _ { j } \right] , \qquad h _ { 0 } \equiv { \frac { 3 } { 2 } } h . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAACIUlEQVR4nO2WUZGDMBRF7+IgFmKBlZBKYCWABCqBSmAlsBJAAkgIEoiEtx+lNAmQQthOZnY4f5Dbw+U1lH4QHvQ33qHCO3ij+igR0F0zAADvUDXdWvCR8sKt9uRQo4kIiLseAKD6HEytBR8pL9xqTw41mogAdAIA8CPQq9haf15jTHmhq/+i9R2tkb80Ajp1F3UxvlNmrDbZ53Q1dWAAuvoz+6MR6I38pRHQMHxlCmhwQ6GvNZcvJqeDMbUPdb3err2hlmzWdkztRG9... | b ^ { p } < b \, , \qquad a ^ { p } > a \, , \qquad b > a \, , |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAJI0lEQVR4nO2c23WDuhKG/+yVBtQCpwTtEuQSlBJwCXIJuAQoAUpAJaASoAQoYc4DNwkjMDY48dr+n2wGiS8zug6KvwhHSQMIgsOq/w/INADE8j3fxz3+JDjEJ4BPyFTIqpUedmAAwaMDK/8vKARMtXLPkQG8lblWVcle+sjN8jGaDGAy0BpB+Hoqr/555cOqkwrwx+PnZeT8moUBgoT/pfi9tgdeBY8Oi1+iIeX9tzdXyeeu+xkrSIYsKfzT+kaEB4u4emUPrBKO4Kg... | Y \equiv { \cal O } S _ { i } = \left[ \int g ( p ) \phi ( p ) { \frac { \delta } { \delta \phi ( p ) } } - { \frac { 1 } { 2 } } \int { \frac { g K } { p ^ { 2 } } } { \frac { \delta } { \delta \phi ( p ) } } { \frac { \delta } { \delta \phi ( - p ) } } \right] S _ { i } . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAG6ElEQVR4nO2c25WjOBCG/97jBDQhaEJgQpBDwCHQIcgh4BAgBBMChAAhmBAghJoHG9uA7g1ezi7fy4yFhPW7dK9SfxGWpL+kQHUpUbFo0Rf/b/knrFivST5LoG0qQFRNeKU+jEaMscgZqI4AJjKroypr/vvXeZbVFQqhTtTpsiQiKkFEJILeTESU1cFFQ9CJMdAlHd1SEBGl75V9pE2ylimVLJtkdVUZZKBadMr0jhPRYCCZhbyaiKgTn7SQTowJWdIgc9wQy9nvKUs... | \omega _ { - } = \left( \begin{array} { c c } { { \Sigma _ { - } ^ { ( 1 ) } } } & { { 0 } } \\ { { I _ { n } } } & { { \Sigma _ { - } ^ { ( 2 ) } } } \end{array} \right) , \qquad \omega _ { + } = \left( \begin{array} { c c } { { 0 } } & { { \Gamma ^ { ( 1 ) - 1 } \Gamma ^ { ( 2 ) } } } \\ { { 0 } } & { { 0 } } \end{ar... |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAADY0lEQVR4nO2Y3XWjMBSEZ3PSAFsCLZAStCUoJeASRAm4BLsEXAKUgEqAElAJsw+IfyQ57MYPu8w5jgi6mk+6xleyQbc6JWTdpCLvWMu03gspxbw5oFcwptEHPODvVaQCyU50e/1NjllzTK9g2NFHPN4QkgaAyy3a64uTeXNc387oRx/xCCboagBkafx16+f1CsZRvdvWXI2QAHCXi/exbYVGBfGElW6lp7e9Ix+uv4nRVm1/kcgt5OmJrmSfIPMhowcAXJKlbZYD5p5... | f ( x ^ { W } , x ^ { 1 1 } ) = k ( x ^ { W } , x ^ { 1 1 } ) + F ( x ^ { 1 1 } ) \; . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAHVklEQVR4nO1b23WrOhDduSsN6JRASlBKECWQEqAEUQIuAUqAEqAEqwQowSph7gcvAcJgBxOywv6y8bykLaSZAb8RTjyKRCHey9d/31P/cr8qIHTdYptwfgdEsp+vbxIkCscBeOGJbcL5HXDg7ObrmwT5TANIpL9JML8FCvutx28SBK8ALizaJJZfAwW+m69nCAr/vdUoAFEplex2Yv4gzEEroYN/wT5+nyAoYTd2pRREAhDIvlK2fVxHw2DQBQ99mah9PNMqiIHClRH... | { \cal G } = \frac { - \pi Y } { U _ { 2 } ^ { 2 } \tau _ { 2 } } | A | ^ { 2 } - 2 \pi i T ( n _ { 1 } k _ { 2 } + n _ { 2 } k _ { 1 } ) + \frac { \pi b } { U _ { 2 } } ( V \tilde { A } - \bar { V } A ) |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACG0lEQVR4nO2WzbHiMBCEP6hNQCkoBRGCCMEbAoQgQjAh2CHgEFAIKAQcAg5h3sF/kpEfcNqqLfoErZ6mPRpZbCyYkrdwClCa97QfwIk8Cnu4i1TWXmRGhr1ylRXkPV4DnIg4LiLywCVrz+wvAVY8XmILgEEBXrukN3l2DZ+pJ/QBFABnp5K1PLuGz9SLANBCrQ7L1Ty7hs/UE5yICE4e+ml/n9h5BuxssFTf75mtzpLzDACcrQX8cR/ieD37jChWqu729VLrj/vA+W/... | [ V _ { f } , V _ { g } ] = V _ { \{ g , f \} } , |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAGLUlEQVR4nO1a7ZHrqBbsu3UTYEPghcALAYfAhKAJAYUghYBDkEJAIUghiBBQCP1+IGx92da8naqZuzX9Y2ostZqjBg4c7F/EvxnTFYV4TRu6SesTcqE9x/sA/vpcue+GixSXUzRzGU7w3qW5hH8a0xq/P1fum2GAQd29HrMRkGf0PHBiPn0If/gMuJYA0L4/uD0IQE5nhGqtztDKi5Noy1OS5/CHd0AQAK6De3BbApgEAITrU51rmCVe8Cr7PsGYt8/rgdwBofsUuYX... | \psi _ { p } = E _ { p \sigma } ( x ) \omega _ { \sigma } = N ( n ) e ^ { i ( p _ { 0 } x ^ { 0 } + p _ { 2 } x ^ { 2 } + p _ { 3 } x ^ { 3 } ) } D _ { n } ( \rho ) \omega _ { \sigma } |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAHxUlEQVR4nO1c23WruhadztgNKBXcodwO5BJECbgEUoIoAUqAEqAEKAGVgEpAJaz7wcNvEJKzT3Ju5k9iG0nLk/WW8IEQhrIOnMANzV9ZxQN/woa3Ef7z39dI8kMRSCBExvlLBPmpCCRQc/kaOX4s3sKG2/9v9UMwgb/4JTAQgQTqXxMOHP9L4D8twE/HLYE6SvcMty8U5WfihsC0NruGa/FCWb4A2u8OW/dhNwSqbKdTY/su/8vQJ08C3cfdEPjFfKSfn5Fj88G2139... | \int _ { p / \widetilde { \eta } ^ { 1 / 2 } } ^ { 1 } \sqrt { \widetilde { \eta } - \frac { p ^ { 2 } - 1 / 4 } { z ^ { 2 } } } \; d z \approx \left( n _ { r } - \frac { 1 } { 4 } \right) \pi \; , |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAEy0lEQVR4nO2Z65GrOBCFj7c2AU0ImhDkEEQITAg4BBECDgFCwCGIEFAIEAKEcPYHYIN5WDPjqTVV/n7cO4BeR2p1t+QDsUChkbk2X/p0R9tKj1L/I/8svLt8FoAu2q16l1PwdW6B+hRvlvv/4QyjGpKU5u497KiMKJkiJMmoK/6qzAVaVCRZjfV0RUcv0oSk7irr6K8G9wzmAnW3cjkaltaOVmemWAuSZIlXXsLZHqwLDQBwUqAI4i3rdiEAQInLX+ydJzETWKAXqAF... | - \frac { ( k + 2 ) } { 4 \pi } \, \epsilon ^ { 0 i j } \partial _ { i } C _ { j } = J ^ { ( m ) 0 } \, , |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAYAAAALxXRVAAAAAXNSR0IArs4c6QAABmRJREFUeF7tm4tR4zAQQJ0SoAQoAUoIJUAJUAKUACVACVAClAAlQAmhhNw8z2xGEfqstLZzd6xnMlxsSd59+9FKyq222+12CK67u7vh4eEhvDVETfae/U9ffpPuv0nXv9lHV3EA9gj79vY2rNdrdderq6vh5ORkuL+/H76/v8cP3//Vq1X/ufScm6VWz7nlgJ9WlhLrJeSs2XoXgCgUz3xh5+fn5+Ho6GhvvJeXl4FMenl5OQaT5vr6+hpOT0+... | \bar { Z } ( z ^ { \prime } ) = \bar { K } ( z ; i _ { B } ) \bar { Z } ( z ) G ( i _ { B } ) |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAFGklEQVR4nO2a3XWrOhSEJ3elAd0SlBKUEnAJpARcgigBSoASoAQowSrBlGCVoPPAjzEIIzDO9vHhewlmkfEeD0hiw4cBISr2/XZbK4+ylI1xdvbfb1QzifB+VLOZxgi/SIvZFHdnhhYW1H8zz5hM0NayLY7OaK8AIMjrv6EPvNUY5OqMOgBf5wBQVR5QCk1czZa4OvulC3IS7htjjIExZ1wi4mI2xc3Z56+dERP4sWYAopBrkTPqarbEzdkH6TIUgPpOAgDQYNBvFYC... | A ( x ) = A ^ { a } ( x ) \frac { \lambda ^ { a } } { 2 } \quad \mathrm { a n d } \quad \Pi ( x ) = \Pi ^ { a } ( x ) \frac { \lambda ^ { a } } { 2 } . |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAFbklEQVR4nO1a7ZGsKhA9s/US8IbADYENgQnBDcEJgQlBQ3BCGEPAEDQECUFD6PsDv1BwvPveKFVvT9XWqk3T7aFpGpwLITQUWdXdtTrI2sdBdvaj1NAFP8xceASIiOtEs6PMhUcAdCmgDwuBAAmoJVCKo6xdgkuC3S+CvlbdQZMgvAioOVCjPCoJhBcBANBFh5kKk4ADEd4UOBj/ewL+OduBATeNki+mvo4ilDJ9q91gckDdlRmAGQddDUSJYG9eDygcSABqulUA8rc... | \left| \xi _ { 1 } , \xi _ { 2 } , \ldots , \xi _ { n } \right\rangle = \prod _ { i = 1 } ^ { n } C ^ { + } \left( \xi _ { i } \right) \left| 0 \right\rangle . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAC+klEQVR4nO1Z25HjIBBsXzkBNgQ2BBwCDkEXAhuCFAIbghQChGCFYEIQIYgQ5j60trxr3VkPCuqq1B9+imkaaAaNDoT0aGy4xop1jBVoCZSPF+tXvFAL0IpooQ45llB461msWOmXUOsZRLT+pxdQQYdTES9eagHWdmAsngXWeqD1Qa7qxbsq51tgFgutQaeoF/2KhldciYyIyLJuG2UKLKxpGCAAJ9FGY3nygA1oi1cmYwKVXrOTcADBaj8rk81i+ekBXxn4U/eqWWi... | m ^ { 2 } e ^ { - m ^ { 2 } s } = - { \frac { d } { d s } } e ^ { - m ^ { 2 } s } ~ ~ ~ |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAGOUlEQVR4nO2b7XmqMBiGn9PLBbJCOkLOCHQEOwKOACPgCDCCjGBGMCOYEcwI7/kBIqDyYYDAdXL/aKsXwfttn5pP/xAqDMN/wRbrXK3zFwBAawBK9l0c67l1ZqZR50aqqTuvUPkLAI7ff7+z/CD6Llbr8x9Fs85tVNNwXqHyDgDkjWXShNy1zNxssc61O+8AIGQIQ9cmC7DFOtfu/AUA+6enzdsHzrFQe65z/azd+evls1lefyTVIirDWLHaf8kOADKtIADNy65Wmah... | \left. \tilde { { \cal R } } ( g ) \right\vert \sb { \phi ( \tau ) = n x ( \tau ) } = { \cal R } ( g ) , \quad \left. \tilde { K } \right\vert \sb { \phi ( \tau ) = n x ( \tau ) } = K , \quad \left. \tilde { B } \right\vert \sb { \phi ( \tau ) = n x ( \tau ) } = B , |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGRElEQVR4nO1b3ZmkKhA9u98kwA2BDYENgQmBCcEJQUPAECQEDUFCGEIYQmhCqPvgb7do0+3udXeu56W7rSqqPEBRoP2NcCxCEzJ2cAx78P3oAF45+3l0DHvwcrB/A/nqD45hF44msFSowsEx7MLBBDovwY8NYScOzoEN5LEB7MbBBNq/nb+DCQxOHOr/F+BYAi1OAnfB/e8JdOO30Dxhbtl/tgTvjHQV33Zt5cocAIJVeGo0hX9ku8f9DK/dh16LocwBWAslHo90s+2... | e x p ( i \Gamma ^ { ( 1 ) } ) = \int D \psi _ { q } D \bar { \psi } _ { q } S ^ { ( 2 ) } [ \psi _ { q } , \bar { \psi } _ { q } ] |
"iVBORw0KGgoAAAANSUhEUgAAAoAAAABACAAAAACv0ZliAAAM50lEQVR4nO1d25XjqhLdc9YkwIRAh0CHQIegDgGHgEKQQhDf90uEIEIQIZgQTAjcDz2M0MOyu097uo/2ml6yLVSUYKsoihLzK+DA3TAGGXu2Ej8Dvw4C3g9FuXvnxbPV+BE4CPgA/jQM+v1Mn63HT8DvZyvwHcE8QOAovAUA8Cfr851xEPABNAAs4VAlddRR0MMWPoyDgI/BqQYWZ40sP3zBj+Ag4D3w2gsCAD6vGRiDqcyzdfrm+OfZCnwrvFHyCgC+rJhzgPfP1uj... | \exp ( - \mathrm { F i g . ~ 4 ( c ) } ) = - ( \alpha ^ { \prime } g ) ^ { 2 } \ln ( \varepsilon ) \int _ { 0 } ^ { 2 \pi } d \theta ~ \mathrm { T r } ~ { \cal P } \left( U [ A ] ~ [ D _ { a } F _ { b c } , F ^ { b c } ] \partial _ { \theta } \overline { { { X } } } ^ { a } \right) , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAETUlEQVR4nO2a23GzOhSFV/5xA2pBKUEtKCWQEkgJUAIuAUoIJaASoAQowZSwzwMWSLYE4pKEOePvJWOzb0tbgCTnjeClV5H/4iL7vE/HX8l58zZIqb6rNsfd5306bDk92xsvPMI/7xWZ7Zky+7xPhyWnKHfHU02o5QXoCjRgnMebUu3znsJ84Xv3vPwdmj4BwoU77aKU8cB0RESU4EbPVNLxpYN93ndaZKvsf5tJTjR+5xb+jMPuFgfm1Y+4fbM3zLuYu695tP/B8Su... | \Phi ^ { - 1 } = \Phi _ { 0 } ^ { - 1 } + \nu \lambda _ { 1 0 } , \quad z = z _ { 0 } - \nu ^ { - 1 } ( \Phi - \Phi _ { 0 } ) . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAGAUlEQVR4nO1b7bWjLBic3ZMGeEtgS2BLICW4JXhLMCVoCVqCliAlSAlagpTA+4MkokL8WM91ycn8uhdx5sGRr0fyQ+MtkCVnR7ATP88O4CCoswPYizcxQLKzI9iLNzBAdIDgEGfHsQ/hG5DR3wqKdNcwHQjeAEkBAoAGOgtfzg5gF9Sfx185Y7fITAH8xID2I0wDSG39U6UQcbDLoMAM6DICJGRarIgKdSPwI6iNWJGVDJWKR4XyFkmq5q6EgaB6gPzKGdBN1vysloj... | d \hat { s } ^ { 2 } = - e ^ { - \psi } f d t ^ { 2 } + \frac { e ^ { - \psi } } { f } d r ^ { 2 } + e ^ { - \psi } h ^ { 2 } d \Omega ^ { 2 } \; . |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAAAgCAAAAABxmvPpAAAEv0lEQVR4nO2a0ZWrKhSG/5OVBrglOCV4S8ASnBKSEmIJWkIs4VhCKCGUEEoYSuA+gEbNZosmc1cesl9mHbZ8/89GCLjOn6uFxKowBrlY12UIvVrtWcWk2GLr10352FWdMuu6GNXorXLr1Z5VTIottn7dlI89SgmYo5KXmJF5TspqEWtalDmVKCWFHEdlDXIA1qA8pCtGg+DRtlhXA8ZY1PnTphbpQ+wBANnliyznUi4Wra5F1Z43IWv7z6EGAFvYtbpP8fiBDhhdZK+... | [ h _ { i } , h _ { j } ] = 0 , \; [ h _ { i } , E _ { j } ] = a _ { i j } E _ { j } , \; [ h _ { i } , F _ { j } ] = - a _ { i j } F _ { j } , |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAAAgCAAAAAAJJf1IAAAElUlEQVR4nO1a3ZmrIBScu982QAvcEtgSSAlsCWwJWIKWoCWYEqQELUFL0BLmPqBGozHJ3vw9ZF6CEccZ8MAB/UNchioy9sKqL4tnePi4sF60U8muu6uUu+MpHi5s4G/UcW12zX3F3BfP8fBnNkQ0CQTgfvL+uBP3vPd92R9zl/PsnCBVJUlq3R/HLW+Cdv0wT29IdgrP9vABAPto3wDIkkIBgFGh7SNzm87P9vNjX4Vf01W3IzuBp3v4BBApGTW1rH6KIEZKAMC+/0V... | \delta ^ { G } \big ( \hat { X } ^ { \mu } \star \Phi ( x ) \big ) = \mathrm { i } \epsilon ( x ) \star \big ( \hat { X } ^ { \mu } \star \Phi ( x ) \big ) ~ . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACu0lEQVR4nO1X0XWjMBAc+7kBWlBKUEogJXAlKCWIEkQJuAQoAUpAJUAJUMLmQwi0QRwQv3f3k/nBgp3ZYbWSzI3wAgpb/Yw4JWduAcDdPbycwF2KuOghnjWTAQC0NhrqDBZXMzjCE+ZUdP5tbCcVyjhk9RDjPgAAU45EXzHoCLX+WQUL3xgsr87LSOwdQPsmRHolwUywOPdSVvBxnjIZj0Q8Y2yiBoYO0LGRJ6guFruF6flYcJkFo4yQQZSKwxQZS+EJ1Tl/pPmwUlw... | \xi _ { j } \rightarrow \xi _ { j } ^ { \prime } = \phi _ { j } ( \xi _ { i } ) , |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAAAgCAAAAAA5n5GYAAAIyElEQVR4nO1c65msqhJdc7+dACmwQ2BCoENwQrBDwBDsEOwQNAQMQUPQEOwQ6vxAfILitLtnn3N7/WlFqlYJRVk8Zj4ICzzA7GXLlw/feOPvwv+WBcnXAwBqACi+6lfb88Ybh7B04OtDc9x/fyYfCaDU24Pf+LvxMU8hbqUGcBEpkpuWQHHtfsauN94IwiIC32MASBUg8QAQseIHjNpE+fgv071xEHMHLtsIAAQDSiYAQJY/YNQW2ov5eZFfvZjujaNYOLC0F0mhOQC... | \eta _ { i } ^ { ( 3 ) } \ = ( \xi - a _ { l _ { 1 } } l ) ^ { 1 / 2 } ( \xi - a _ { l _ { 2 } } ) ^ { 1 / 2 } p _ { k - 1 } ( \xi ) \ , \quad l _ { 1 } \ne l _ { 2 } ; i \ne l _ { 1 , 2 } ; i , l _ { 1 , 2 } = 1 , 2 , 3 |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAGVUlEQVR4nO1b4ZmrKhA9e79tgC2BLYFbApbglpAtgZQQS9ASkhK0BCkhlCAl8H4oCopGN9HNu/H8uHHNMDOewMwwct8MtkB2ARV0E1NPhj+bWPk+MpWRTUw9G963MFJk55gnr0nw2xYhIlLXDaw8J7YIEbrgG1h5UmxBcIGXTG81tiBYgm1g5UmxDcEvPIO3SHIfepti+ymxwQzWen0bz4sN6uBfihBHaa/y3zBvMUawTnB6kAk9g+AMhwdZaxHfXxvKByTnEYKPhRT... | W _ { \pm } ^ { 1 } = \mp 2 \int ( \xi ^ { \pm } + h _ { \mp \mp } \xi ^ { \mp } ) ( \partial _ { \pm } ) ^ { 3 } h _ { \mp \mp } \ , |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAADTElEQVR4nO1Y3bWzNhAc+6QBpQR9JcglrEvAJeiWIEqAEq5KMCWgElAJqARUwuYBDAJsLN98J8lD5sUHedcaZrU/MniPvn2yuIHp39sc+A4ZW4w4Ywd/FfvFLerw3ubItykzjfcE/e2ufrDrZ4TFt89luNNUfecoj02MBupygzb6DiIvyn9sCZfQH2kBAFcA8drJT3yE/uqzDLeMRZaAOwXZmCy/xXfI22l7Bm0sPtFhRpDVhx6icDlmZwDwt1sdx2dXZKRwgsdRlxo... | \delta \left( \omega - \left| \langle \vec { \Omega } [ \tilde { x } ^ { \mu } ] \rangle \right| \right) \, . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAKMElEQVR4nO2d3XmjPBCFZ/fZBtQCW4JSAi6BlEBKgBLsEpwScAlQApRgSoAS9F2A/hASM9jAt084N8E2oyMzliyJ18ovAZvqmyU7hr1LO9r/3rT0x2fe7xf2Lu1qv20CWMHb/cLepV3tVyTgkaNPjemlvxD2Lm1r//2wHv4hF9Dn9bvq8iOVfMTMeEhvAV8ZWz4JU061efiLFtvYs8zqQcgJqPrUetw/PCeOijzP51Hwm06F9bcbwNdl2u0thM+cc6Nkw7ZfKtqSqqv... | g ^ { \ddag } = \left( \begin{array} { c c c } { { 1 + { \frac { 1 } { 4 } } \eta \eta ^ { \diamond } } } & { { { \frac { 1 } { 2 } } ( b \eta ^ { \diamond } + a ^ { \diamond } \eta ) } } & { { - { \frac { 1 } { 2 } } ( a \eta ^ { \diamond } - b ^ { \diamond } \eta } } \\ { { { \frac { 1 } { 2 } } \eta ^ { \diamond } }... |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAGFElEQVR4nO2a7bWjKhSG35yVBrglcEtgSuCUYEowJWAJsQQtIZYgJUgJoQQpYd8ffmGiAc9JZubO+KyVFTUb2Gz5fnMgAIDJ4S7CVOBCYMeHiIioIGp4obqrP5HrLdLwcnf/0YWJA6I4J93VT8XlL81Of34uPa54bL3Scn7fB8gC0OrsAP11576Azk6vLVCqpafORA8cDGZ2f+y+eM5NIsofCZJveLcdKTMTtvo2+YZapefCv+0DJCUSIE0Xk9iu3w1fTjj2JTdfTrR... | \sum _ { n = 1 } ^ { \infty } \frac { \cos n x } { n ^ { 2 } + a ^ { 2 } } = - \frac { 1 } { 2 a ^ { 2 } } + \frac { \pi } { 2 a } \frac { \cosh a ( \pi - x ) } { \sinh \pi a } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAACTUlEQVR4nO2X0bmjIBCFx/22gWnBLYEtgS2BLcEtYVpwSyAlmBJICaQEU4Ip4dwHY4AYwDx5HzxPBoY/c0YYPhvQJ7qdrhel2o4/WhV0btU2WBJY0o9awKVpmub6+HH6fTduUNdf5230F8r9z+3y7zlWgKWBZaGqUfvHk5B9eShIZE3xrKbnfAkWB5ZVNzC2S/4jCfsZLzzW1qUGZko32GW0DIsCKyLAa92ZbD6TetZHBJY94NnCPPmiBHB6KBpYKNZH02tYYIXAqoG... | \varepsilon = \zeta \otimes \chi _ { 1 } + \zeta ^ { * } \otimes \chi _ { 2 } ^ { * } \ . |
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