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"
= b - a
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcklEQVR4nGP8z4AfMBGQHyYKWFC57/ecfT8TVeg/KnjHYIwqgG7FPQYX/G7Yw2CMX8FZdBPQ3SCI5gR0N5x9j24AmgIMJ6ArwHQCAwEnoLkB0wloVmA6AU3BWQaXe/hNUFp9Fr8v7jGEoilgHE32xCkAAK2ncBJS5PZhAAAAAElFTkSuQmCC"
l
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kdCIB3bPk61WnU4W567qHh4fNZgMofzqdjsfjMAzjOKJGsFgsUMB2raq7wKTqc+Kqac6J4vrn4oKlojvFOZ3zyN7OFiauA0PXD94Jyh2f6kI2lRiWiuUnIlXKORuzMVsazJQIkyQnNJdmVil9dkTUNE3sWo4B4oJXBA6qOnU7IYabhJTmvox65U41fFnnHWrZr2k6hehlKBHpuq7rusVisV6vd7vdz58/UdRBXef5+Rmhopl52zNE/qulMjNvItaq1+5OJ1JKh8PheDzCFnVd17YRHFosFiFM5XnIvpS2RqqqITMbCinwXlcppw94FqZSOIvImLOZwb5NSbVCNxEpfNWcs/KUsEgpoVbZLAMW7tyd8l6C9lYyM80Wazm6ky9M2MyIbspIbqPrhRUMNid+sB60iywWi67rrtcrOkyICHgJN9eVUy0tPl7s8cuxfi1V9S+IHP71r38dj0fg5s1mFWMMkZfLJWJzrq56FZWAzh3jd5YWxsADYRGhITGzVl1YbhghE+RtipVKEE+iZmYppWEYaLMZSts2DVPqVkRCE1UVxb8hjfGXXrSS35l5vjDnaG2LHLaaGfrxpDQ+uvlar9foU0AU4r0o4zjWwWDte5i5ZpsvsjYJPu0YIwIGTxYcDgcRQVYXuo74b7FYeGu0lUZal3283RtGp1J4UfrJsjEzsxrnnEmiQztMu+5gxLDBm+yYmxAvlwsK61BHNNvAJFBWZjZhEaGBU0oSYwhhzGluB5teX9HCzNC+gJzTnX2vWTWTcmKduoTCZ6AHCJ1ZgB4eJOIr9zT4b10AQ3oNBdbpvTyliIhZbDbFq9WqaZrHx8eUUt9f4CaJCH1hSINR1jbE5XIpVd/cL1OoCN+EKOcMq4Dl4MGUs4iE0IAygAwe82I+MB7DMHjrp0yck+v1ChNy6a+v72+4h0oFgIgoiIgo2fV6DU3Tdd2QxkgmRplMSEgomCTKpJQ0AVwgjCC4Wr3l1p2Yq6rg8zRFV97q7fxAk4lzyBejZKRTYO/KOgwDMwNerlar2ZIYkTCpoSfNLRgzo23PzGJ8AAxLKQ3jte97ABARkWbCYHfWgqrYTkunVD8Ml8vlcDhcr1cqTZ/jOKbJhwkRaekBrUVfys4GtO62bbterwPz9XoNLMyMKSXNqno5na1sjMArJufHdLlcQtMArEUlzsRBgrKRcTIytUzExNgixcwhMENh+MZdTbbSO3BkaqzkIGY2ppQ0BxZYBiwGKj+OI4g1pBFNNUoUJuSCakLTxKBkh8PBmJbr1ZDG5XI5XM6TVTQTLrVRIfhwKGVJmwrsPgdpuna9IbN5hwiM8J1hV3TDx4g9YS406IH5448/tOxCIEew0+6SObYlkcViwcwfHx9N07y/vx+PZzPb77ffv39vQhARNW2aZr/fb7dbt2fIzE3GecrCWs55t9up6ulyIaKYzZiDMZPxmHNKc9e1qlrOzJzH5PqEdL47VV8wjDJADj5EW5ZldRn3zRcgKJJmMUYrOhFCaKM0TSMS4XVgfKxKUjAz7ImRGpNwTDlj945HzXA2OeekmRBXxmjCQsRqDmXvtMHZ4zUBLqEFDJ2UiwrioKn9PjpNOARMANGLqg5DYubffvvtt99+W6B7M82pd7clCLysZDHgCzAT5EcEuxYcCGGisBhYSZjc5kwpG+fu4vqCrOWcEVdB0qlCwFYCcvQAoZ1fYjAzDqHruqlvkhTc6vu+6brQNES02mwQJ+EeItKU2Ix5AvdCXMzAxNqCjFBBFxHS23Z2n5JTwGXC++aA0RfL5ePT03K1QlNJrHZgThocmtqEeqL2cDqdTqeUhq7rdpvNfrtdrVYigoiT2ZqmsewhikhkwG8zKx3XfLlcRh0z5barEgS4xnE8Ho9oVGJmaK7vLr2DuY5uudo4Bo/aNE0V6ATUSSH+oVwxxmlbVSn5MDNpchgGGIkAQKrmw0ktzISYRNRsTOl0Ok2cK9kvKjh2MhXFefv8rUqLzOm3KpjDojabzWKxsIJyoV5933sUCqH32sJqtWLmy+Xy7enp9fV1tVr97W9/2263DhoLFckK8rQqxWUlMw7dOp/PQ05m1rZtdPmCVI7j+Pb29vPnz8PhAG41TYO9p5g99sw6oPI9AcW3R6Scu66zEiO7AQELqQ4JhEVES1AcQhAJSSmllFTbtoV9gEHHhjDNhj1nU46daLj202Qij6lH5Jvy0DSNlL1TIsIxMLMV4dXbxKDLK1cxMnjMMQiTItOuOVZ5SJceH4rUogQigon6eHsbrteuaVDuUoVP0dLQPHcoK5lrhapSgPqyNLENMqm13Na3HMyATIu2DSFwibqk7E12JuF3Kam/pmmQv0DZFCCNSk+8J+vAPJ6K1ZyLKGEoSLRvrICgSNmsoaqYaIyBmftxUrjz+Tym3h1MjHG1Wi2WS0i9qjJZjFEr6+dy4w5YbxuWlYnMoNZe8WGd967ZtF995rqUot2yW/zfP34/Ho9d13l/pz/luaF5V0BVWBAR9JuICLZ/gRT30XHXdd++fUOzToyxjZGZsasX1oxL2q1elUsi2OB7MTw2HMfR+QGjVws4VTUUjDaTpuyUdVXOOWcbiUi5ZSYJFCJfr/2//vzj8/PT425wa73ZdF2XybA0Zo5d5xKANEEmM1URyTMWM3RLozsRn3rnT7Kccmok+Oosq5f9pOBJZv7554/+cv3+/ftmtV4uJ2MzDMOo2QiOSpQUrxMTYTEzYSEGykVQ3xQpp5vGaynbjLhk5Ajmosp1+O5ujwTdlrox8Ul7SgJhlvstSGtKacxJRGJJ7wKO5rKDn+tooehTzllLzwJX+S3IL2LMEAIQ6bXvm6ZJpnAn2+3W+1hqM6jugqpkyqR2ZS8pF3w4wVSFGxNVTWX3eDHmoqp936PRYbvdIlj0CUeBm5+6qfU2B4tLSuoSVgqDR7qNOSDRdZyPFeAGsDal1HUdwI+3xEhVeQEzHLib2fV6fX9/32w26CSB2QQXRSSbARM6vgfngEGYWYI0IRJRSiNkpEJlBFX+r//6L8BRrP/t7c3MYtMMw5CGnpkhCvDNKAI4q9weOpDRkvbFySAcZMyJmTlIQNq6CVm1DQHVRWBpIlo0rcRoqm8/Xy7H03qx3O12KaWGQ9M0l8slxmiWRW4OReACfKTKquBbDAuORk9Cu1i5cuScA4Q3THUdq7A/V9jJ2eOoxjM0bduez+eXl5efP3+O4wj1EhFUKYc0mtmqJOPxiOcP60qNVruM67d77YOZu65D9lZE0BEcm2Ycx3N/hRxAUGoP4RN23vvvkLZ6n/adq3NzcrlcoEbMnMIAm3k8HkUEeFLurtKr6pjLsweuxPUb/bboKl//rI0PZqZlQxLW7HlYJ3G9+ceRPW7o+/719fXt7W21WoHr1+v1dDr9+PEjaY4xhqbRshGxXgMr2oyMAJnQdcTMNMO26dwYERHxczpytVkYuLRtWwDaOjCqie70crmeflNjm5KGFFhEJuiW5+zJ4XB4f3/PZTdq27aB+Hw+L5fLp6en7WrdxYZkAt5uikiYwxQd1ejBKlzqU8UNsXYPPhz57mjVnLPQvFsE/gbY2hd2uVx+/vzJzGgnrsUf96OrEE81TYP80+FwSJqfnp7uYIu7Q2bMrdrnc1sUdXmcqF+yGFpO7YHcYHwrR99gpUBurp01h/gWKFJ11dJMRJoVb/QM8hT5SEAZb71ew1Urq0sGSzX/W7ztGnK3RlyxrgTWsoYPM8LyMOWBXl5eVPXh4eHp6Ql92yDTx8fHP//5TzzooZWf2AEGxDiXFaagbxiSZgRnHiTemgIo7j0FnZJEhm5OqCya9MghktO32FVNY2D5Mg4REeKhryYRu1cypHkuLcwC1DQNUnkoaKE3GZZm//TYrZYAqKNOkNjr/dOL7EbnboSPiG63ic7tKFwVY+ZJqQK4D8NwuVw+Pj5ijF5A8roGFAURMd2iFWB34BEp5wmcTqfD4ZBSWqyWaLRzZAG/wjdZoq/CbneiN4mkkZmlkqjEEpnZ67BEhEMHHExSac5xnb4RBzOzOTiz4tfdNDFzjBGyCzYcDof//u//fn9/R9y5Wq2QDpXpWB3JOUO36jfdyaJ9SY9Nka4HB84qLbkyH8j3yTLzer3ebDYxRuTOmRkVAREBRAbPuGSPwOZhGLApGlKP/awi8vj4iPqkY7NCGt9P9e8uLvE1q2nW4mkn3TKzPBGXmacGfrW5dYCq8wzqqqlbFxHBWQLYqZhp4paUdhrKlHNedqvlcgm/GJq4+GPpdVSwKufMEsyIi/WbV1ppc33JbcltCmSxZ9vZi0nPyBCpqv789vF+vV5ji/L5BgEN4vDT6XQ6nXjqg2izaRpGJbOsQxpJrR+HcRxDE7uuaxedpoxkrjEtl8shpWYciTVIgzkxc84pWw4cSYxtOkJi5lCJOMgTBMImHFhMGGcuUNG4CX8QEbOZBSlH3xVr6T/1NlVYS/rdJ+yZ0jGP4yg01Z29bcTHCSFIE0fNsKRCUVWxIevuFbWRYJ7TY/Xn0b9GnxReg0IZESHLdzidXt/fz9fLert9eHrslovj8RhjDE0cx3FI4+lyTpqVbEhjf0qBuc+JzbIZm0mMEkPGaWjM2XTM+Xy9kEim/HF4N9b1ZmmsoZGmi+M4ZsskZKRGykQc2BhUYFUTCmokLETVLgcRbAUXoIYCIDMZMsUs0NeJTFhgTSx37y7pzGxCZoQ0B0RZyq7T0+mkSqvVKumIR06X4+lwvJzOCNgXq47EhtRPk1fr+94EVUImI03ZrXHthqzCqFxBtskaWFXXgWsBJEXHEhqJ1Gy73XIIl74fx/F8Pq/Xa2z8G8cRQdLxPFULQwiom5jZ5XJJOIuPaBzH0/n8+fkJ2hyOx3i9qiUJT6u1hCDwz0pmasYm09aF6WQGnnTLIS8T3ThdF8PJvpHBmamqodbFN7dRldOq/ZYLuycpaseGRfV9r0oi0oYpB48zMtAMslwu/cAZb/dX1sgRzJiqbtWLXOHcKd5NJubqcByfmaoOw/Djx49xHB8eHoZhQLp2v9+3bXu9Xj8Oh99//33ZdU3TvLy8nE6n2Lb28nI8n5fLJZVUf9u2iOSXyyVKO/j8eDweTkeUVrfb7VqXRBREYggZXoFvShhWUC9XqB0XkL9VFxZ5s9FY2B/0vVAsZT8dMREl0MERjR9UYRNCKU5GUe8+n07DMDCHcRyR50UQ+f75droclXJopnwpxAJoEHGqRywuHHq7ud2quKK+InofpKoRMDNqbsjfvL6+Ag48Pz8D4WBj1uVyuZxOOef393cz2y8WoZQnajyKs9+wG/fj4yOl9PLy8vb2dj6fN5tNznm5XGLDZJGv6ry9ynAHrioU1TK0SmxbFWaqb+EWMb4hhN9fP1vbnJr9k6ST+bfAtOfTiYiaJpoZemwul8v1eoXShBCwrlBOUYUCXK4XwDFgMafVnTWu11WbgZlbPntmbppmvV7DBv748aNtW4A3VBTROL1cLhEUH06nGON+v//73/8OCNQupmP9IG4/X1/+/PnjOvT9OCwWi9fX17eP991u949//GO7XT8/Py9XHbIMZqY6nRdW4yVmTqgM6Y0rZmbV+pzAX1yMGlJlZGoO1be5XbnXVJvPyrSyJes69E3TRMt9n9CMbCnDAO73e49YUkp9mk76PJwPfd8jq2AVLq9V5d9czBy9Tc7bMeAh0X2HeHa1WmHvUc657/umabbbrYjggCmM8Pz8/P37dyhlbBtI0+FwyOWMT8ReyBmq6m63+8///M/dbtM0DcsUU9fCfreGCbhWkX+tIvm2G76mPpWSB5daTD2sK5NL9B3jXXS49ApeLhfspO66LrfJzBCNrHfr9XpNJK+vry8vL5+fnzBLJmalKA9bEquDo6hK0lrlNeVL3ZGZI1TS5YhLd6P3lKHdBUVFWF5Py3odBNptZufrZbPZoAoOOjZNg/3S+/0+xvj6+vr+/o4UFBp4U0qU82CEKhrJvcm6ka/CLU+Wu0lw9O+rsLIDzH84V1yNcunjdC66gcFV9zpawWLoqhORwIKmYMSa6/X6er2a2Ol6Op1O/+/H/+tW3WazSSm9vb3hrDsXDo90qbLkPr1axWdL6F2VqLoyM2hd/+y67vHxESkv9Cx2XUdE6KcEEoHyHc8nyBGSs9DLruvQ9Y7/4mgaaCfCZyb13UFId94thso2ED/1m25hUf2hK42V/RaTPwMPviQOpKr1UOXw/UMpFQbcgM5AtJx0TYuyJ9q24a6Ay37//ff39/fVauW5G5x7R0Sgj5U0/x3zahd7J7JToyHsFbDfbrd7eXl5f3///PwENbuu2263z8/P6PkysyYUo9z3bdt++/bt+fl5sViEJnr/JY4HQjoY/qzp2kt/RVZtt9vFGMns8eEhpSHnbClP55oYEVFgqaNIRIa1vTImY2L7tSsCFXwHuKpijxNVlo1LQqDWNh/HoxyPhADkYCeQ2oaZ6ZpWVS+XC/DFarXa7/efn5/v7+/ocIFkIxflZTy3eK4nVAyvOwIqZh9TKpUkVT/AS1U/Pz/f3t7gEr0Gjyxt7q9YDwp61+t1tVoBXzRNAySCG3xA5H/HcVwsl7D7u93u27dvDw8PmlHxEhERm3Yi5znJ92tOTAaQzND2VNHaf8ezzi0z0ylrflPNocrk1qLtP6U6tYxKu5EHUlSqNs5RLod3Pj4+IuhE/unbt29glVWHz0jpVqutCH9JD7pjm9pOsdTz+Yw3vb+/q+pms8EWRyICSA0hoMHYQgTiQCy12WysRHwujy4m3ojBzKgsgLVd1+XERNSGKCJkRswxRvlyOKHv8880fw6k95VbeHaiMlX7mqfa2OwkrMLHdx7rTjJq8qnqcrlEydhKdOG8xDhd1+EIMrg38Mn9q2e5mBkpb/riU0PZoFdL7bRrIYRwOBx+/vx5vV5xNNFms9ntdk3TILnw9vaGA5Y/j4cQwma1btv2999/b9v24eFhLtLHUOc9MTlAJvg8mGwXEceBVLmcmUf/Pl/HsxrRFzxyp0CuJfm2YAHeeG7XKhhmJcdxNx98Xteg0cHnEuN9JVI1THiqSKqOFdQ3nHN36p5La7PL0NRVEUJAG+Hlcnl8fEQV4+npCe/4888/EQKv12toxrJbtG17OBywA6c0yym63stx8OqOAS/DRo9YLvCSsjIR42x/4ZQSl6JUzbBJM8wI+SQiFPK89m23DtlKOsdDCAzrO1Ah4A5tMMM6p/BV4W7EHHsLJiUml6Kp9liCem+a92YvH3ZW+lt5dTFyY+tXtCr/D0e6WCyen5/3+/1+v8f5TDnnt7c3IFd40cVigXIiYKu/phjA2Z4A4hMR0h/YOjhlocYkASQwwzYfvaG4E8jMauZxpTR3mlT/XoMr+qKp7g9qKHE3pjOpVsQ7eKJVmtymghq7crh/sgpz2m0tv4Yzvl63TPWUouvmw8MDTk35/v07alGQxO12+49//AOnB6BjFPj14+ODmZ+fn5fLpZ/nLOVPh8w6UfDL+Xwe+4GNlsvldrttY5NzjhKkOq/fKVK7Cv+OaDpDvD7rp6byHa1rrtf691c4wge54ytV5cHw5c/wSGn5xp1eLnflroR45lZtou8kiW9TuvW0I5uxmCh9/+1ZiGIXH3ePmTKbDeM1Z4uN7Pf71XpBJiHyoluNqR/6xGLMvN4smXkYr123x5/IUEuaiFiFo1FmCmnsNVNOQxrGtgnr5Wq7WbVtm8d+OtDE6jMvb7x6vQb/UoiUacIXZVF17DXzklgLEmGbuzvvftbc+uosiW46KjEH3B+qfZuFyrOh8g9TOZOhlpuvNrbGtFY6jmsexyhsmoMEM/3t27OxBqYYAikTWWyCWaYgXWiYA5ESK7OxmAj9j//5nzEKi5lqP1yYLY89kbKxac6WzbJIzHkMoQlkY38R04fdZtHEwMaBybJIoPIXM+rDimrpq6WVKhWcFZGICMf1z9xlNSaKEsTIbDoL050oz6w1xl9AUfNaTK3iRBSIJUSaEvaT7SYzbOR0W2dmZvOGwVq5pezrnScfxMyC3Jwu4AvnqifVGRyJVZiJ8CdbVJiJlUlIEP+j+o5KEs5AQJWyeXh4WK2GxWIRAvuxoLhTmMxgcEOMIQullM6n0/VyiiEsF20MYRyusPsuPrWbqVdbq8tMAngyLn/95lZIb9TLpp9GBlW7G8oVhSqb6TdMxyfLVIW584Vfr7v0ilU9ILUEILr3+2u1u1Pf+kXRl1rPtRbRe5NULm83t9KvWUSv/CUYMyJCEIboCrtisAnlRsq+2Gjn1i+pU3/F1d+Y4yrsv7tcO6dDfM3Iyo7lrFi/lHNGkdafbqtO8BFihg2YZWuevxgRcX1ij0yYg4UFf0IpFQPoAcPNLokKduKq01HM/P8B9vjxXs29v7cAAAAASUVORK5CYII="
\frac { 2 } { x + 4 } = \frac { m } { x }
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABXElEQVR4nO1W23HDIBBcZ9wALdACLoGUoBbkEqQSrBKsEkQJpgRfCaIEXwnkQ2DrgUkyEyaZjPdHKw7d3oOHdh5l8VbY/0vgTwlQV1jgwGUFCKqsABcWoA79sYTAfnowC6VL+McunkXv6lRE4N4D+70WOLtlScQM6DDKpYfWZA7ansDDij2Bn3CO5I7LZmQG+OuwZmnsY8AaDJFNdgmltiyFKEAw1KxsbLgKdWOiBuSEDm+wQi0Z4HrUMthZG6kXAux4s4q6Bq2qQwBtA7RVZin3dOZjM4lZcjiO03go1bgp3gXe+xuuwQ7vvW4ePVizETfvhyp+O0aPMQOZDktoo3L2Bwy6+TQZ6f7J/Aj+auMF0hs1d+Ew4Fw9G3CZyZW0ALZ3SiaDulNMl5hB3WpbWasBwPVo9YqJoSNJ1RSIQRsW1OMsSqcwL5CTn9SLOdGprMBP4D/9VbwEfkvgA67vGD7XZp4dAAAAAElFTkSuQmCC"
t _ { \mathrm { ~ \tiny ~ b ~ u ~ f ~ f ~ e ~ r ~ } }
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"
\begin{array} { r l } { \mathbb { H } } & { = \hat { p } _ { 0 , \psi } \mathbb { H } ^ { p _ { 0 } } + \hat { T } _ { 0 , \psi } \mathbb { H } ^ { T _ { 0 } } + \mathsf { K } ^ { h h } \mathsf { D } \mathbb { T } + \mathsf { K } ^ { h \pi } \mathbb { W } , } \\ { \mathbb { S } } & { = \hat { p } _ { 0 , \psi } \mathbb { S } ^ { p _ { 0 } } + \hat { T } _ { 0 , \psi } \mathbb { S } ^ { T _ { 0 } } + \mathsf { K } ^ { \pi h } \mathsf { D } \mathbb { T } + \mathsf { K } ^ { \pi \pi } \mathbb { W } , } \end{array}
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[ { \xi } _ { a } ( \theta ) , { \xi } _ { b } ( { \theta } ^ { \prime } ) ] = [ P _ { a } ( { \theta } ) , P _ { b } ( { \theta } ^ { \prime } ) ] = 0
"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"
q _ { n } = \mathbf { u } \cdot \vec { n } ~ \mathrm { ~ , ~ }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAmklEQVR4nM2TXRGEMAyEtzjAAhZAQpGABU7CmauFSsACSFgeuLnppn+v7GO63XzJTBzR1tB5f6dhcVELVB3AKQWbEDCPzRYRvs0QMJtKB4Gp4f/pWzGQ3OWxMEWOoAk5gknItmDHzLZgDQUEdBCUoYCgLX4I61UzPAhhlBjZO06S21Fl8ADw8VNac+nhxHWbot9RNZT0ysOxugF1fNwjqFUNdQAAAABJRU5ErkJggg=="
t
"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"
S ( \alpha ) { \rarr } S ( \alpha ) + \sigma _ { \mathrm { ~ r ~ o ~ } } ^ { 2 }
"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"
{ \begin{array} { r l } { d _ { p } } & { = d { \bmod { ( } } p - 1 ) = 4 1 3 { \bmod { ( } } 6 1 - 1 ) = 5 3 , } \\ { d _ { q } } & { = d { \bmod { ( } } q - 1 ) = 4 1 3 { \bmod { ( } } 5 3 - 1 ) = 4 9 , } \\ { q _ { \mathrm { i n v } } } & { = q ^ { - 1 } { \bmod { p } } = 5 3 ^ { - 1 } { \bmod { 6 } } 1 = 3 8 } \\ & { \Rarr ( q _ { \mathrm { i n v } } \times q ) { \bmod { p } } = 3 8 \times 5 3 { \bmod { 6 } } 1 = 1 . } \end{array} }
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\approx 1
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T
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"
\begin{array} { r l } { - \mathrm { i } \widetilde { \rho } ^ { \bullet } + \frac { \partial \widetilde { v } ^ { \bullet } } { \partial y ^ { \bullet } } } & { = 0 , } \\ { - \mathrm { i } \widetilde { v } ^ { \bullet } + \frac { \mathrm { d } \widetilde { p } ^ { \bullet } } { \mathrm { d } y ^ { \bullet } } } & { = \frac { 1 } { K _ { v } ^ { 2 } } \left ( \frac { \partial ^ { 2 } \widetilde { v } ^ { \bullet } } { \partial r ^ { \bullet 2 } } + \frac { 1 } { r ^ { \bullet } } \frac { \partial \widetilde { v } ^ { \bullet } } { \partial r ^ { \bullet } } \right ) , } \\ { - \widetilde { \tau } ^ { \bullet } } & { = - \left ( \gamma - 1 \right ) \mathrm { H e } ^ { 2 } \widetilde { p } ^ { \bullet } + \frac { 1 } { \mathrm { P r } } \frac { 1 } { \mathrm { i } k _ { v } ^ { 2 } } \left ( \frac { \partial ^ { 2 } \widetilde { \tau } ^ { \bullet } } { \partial r ^ { \bullet 2 } } + \frac { 1 } { r ^ { \bullet } } \frac { \partial \widetilde { \tau } ^ { \bullet } } { \partial r ^ { \bullet } } \right ) , } \\ { \gamma \mathrm { H e } ^ { 2 } \widetilde { p } ^ { \bullet } } & { = \widetilde { \rho } ^ { \bullet } + \widetilde { \tau } ^ { \bullet } , } \end{array}
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\textit { L } _ { \sigma } ( x ) = - \partial _ { x } v _ { \sigma } ( x ) + \frac { \partial _ { x } ^ { 2 } \omega _ { \sigma } ( x ) } { 2 N } ,
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^ \circ
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\hat { I } _ { 1 2 } ( \sigma ) = \frac 1 2 \hat { k } _ { 2 } ( \sigma - 2 \omega ) \left [ \hat { I } _ { 1 2 } ^ { p } ( \sigma ) + \mathrm { i } ~ \Delta \hat { I } ^ { p } ( \sigma ) \right ] + \frac 1 2 \hat { k } _ { 2 } ( \sigma + 2 \omega ) \left [ \hat { I } _ { 1 2 } ^ { p } ( \sigma ) - \mathrm { i } ~ \Delta \hat { I } ^ { p } ( \sigma ) \right ] ~ ,
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T _ { \mathrm { g e n } } \gg T _ { \mathrm { r e m } }
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"
A l _ { 2 } O _ { 3 } + 6 H C l = 2 A l C l _ { 3 } + 3 H _ { 2 } O
"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"
\phi _ { 1 } = \phi _ { 2 } + \pi / 3
"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"
\mathbf { C } \in S E \left ( 3 \right )
"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"
{ \geq } 0 . 9 9 8 5 _ { - 1 2 } ^ { + 7 }
"iVBORw0KGgoAAAANSUhEUgAAA8AAAACACAAAAADhDV+2AAAaa0lEQVR4nO2dy5mjPLCGv/6f2ZylJgT19uzUIcgh4BBwCCIECAFCgBAgBNidLYQAIdRZcBNX0xjsdo/ezfRYxsaFSqWSSlUfBIPB8K789+obMBgM+zEKbDC8MUaBDYY35s+rb8DwtiQJmBTPvNAwwVhgwz6ySyJF8XUpnnahYYYPswpt2MWnawFILjx/1oWGGYwFNuwiKW4AIGURPelCwxzGBzbsQnDe/PXNqfDuCw1zmCm04SE+i5zff9eRFxp0XjiFDl731YajcAqlqWHi1P8G2eYLnftv/b3snYNo171OgSvvZV9t2Ef29+NjqG+B57rafyOrflV0e0TOwjDdXehG1bE3+UZke21YdeuE9mQfuPIySIsDgGc2At8NUX4Vg6d2y1L9/1XdWlTdi4GnZj9Ju1A5/sG3+dNIggLMn/oLWeTOvLshysB5UQBz7xG21778XAtcXbwkcT4vESrHKPD7UWVS/9+FpQJBv5gc1a2e3b6QzJuYwYWMJSfc6Q8iuIhUtM6FRuXMD25NK4rbZXGSKnj3efRMFGQYNo+XlU/9asMBhHD7/6RWTERkx90rsiQiyq3uHTKEmn7K6ML+/b+SkgkiNSMHFa5fGALpcqvM63+fq8DCJiLKFQfkys39OtJfMlgp5ESUxkREIRNSSin6HtRoovKb/5eyjGc67uRC/kukM48PRUT55PWc37lQga20hrL+97k+cBYDAO8XPrLJCoZgz7yh55BcYnn/XW9AwjmSQBRBiOyKej2r9+2Cegmrm2bfXO1ZFl4kIFzMXCgT6+T7fiX1ivHUA+4djQUSrHUay8kE8ORFrEqNtLP6AhMAqgycAygK/JKurlPdXn0HB1FlNrwqLD45IKYBBEk9Lidx/d+bfl4huKm8fvjTC1n2mxV4gSIo199QZVhdJbICH3iyArPxiloAVwFAcEMoAMBzfqEBvv2WjZIE7GpZ4O7sIJsMXw2YZmKSm72y4vovEt2baiZYtcAQt+cr8IRI1QtxWW2IAdv5fWvTHhPvuc560+IFWAggQ1ZFlY351dNoMCeMMn13KEBxARAff5M/hSAAK4QSAJwMhS+cDMqCkxWIsvqXJ0EikElbAtpwV90yoQSCpKqErfX+Tic0iqjKYNfzFVklEi9W4KJqhuVuus8Oja4rkjU/I7CeYu2zKL5ue+fdoKQn9//J/mzEYzi3al5/q+EWcdBsIXkeCKhOuvefIrLqUoQSuH2FFmAxr6quStxuFiwZBbLWOMezcwZ8XnIOTYGvrvi8pA73WfUV5X2XnLrAlRNYQrXuNOPHK3D2Tf1rVj1QFO10PzlSgbNruNbMr+EzNPjmb/2WLJmu4VV6D41e6ysWhQ0orwA+Z04CRm1/YxVDqznJRbkAwFGdIuufIrJrFksAfnaTDEIkiefKhHFAIAGTAOB4lg8gKVBwoHNwMybAiouyAcaTfp996gJnl+ECES+AYxW4+GL52mPKkqzIIIXNAVTXGO0sS5vuHziDzq7h6qdJdonP12DHGhqmrJ+XMjW8P/cLYDMmIyuyLAGe0xu1qeCYBAKowLqBd0DUjpZSi/ZovX8VBQpANvtAsrWAhnV+hMiAIOH1b7acoPkxEnKwSlV4dUyVVJVELxhEEshgTaaKExe4ulSjBd76M7ptKV+5D27N2pjbtm/xBWC5cRzaTBGVQugXLu14xRaTktUb/xRbXErh1ruGSkoel7YQ4fDvjlLEMx84wJX33vEwsSQiieZWyuETGO/ku4AeKaGTKwbg9A3TUrCYiOzJrRERKVYSkRJqLvKiD8fwu06gJAAhiYhSaSkl5rvHvQ3RNV4vMiIiC3b9R7PvLTVFaGI4FAY/M267hJ9T3AY1MS1yY7ILbEMMX5CSqAvkiCWzlBJyut+8nRwr4VWxAFNNYy7swU8kjoVgHAW7JCKOnIhsFhNRbvGUiCh1GUIZ+2DDv/trVwaTFrnhPQ9R8pI0BZbCj2PpxrFtx3E8HS8llqNvSgX4C22H0d6pmHuQZd078tk77OOKyvlhsZz5vUREFD70EF4uMiIiBi4blhRYYiCWToGJSDXqn+r9V2g6oVwiaieL3Y/VFVjBKomI/JGSfwtbYNEEK9SqWFNyoZuffGkQVfWPiIGYyG5+csmbziUhYoqZGP9dE28J1czxyIi1ASsk6tVC2URErCSy5vtVyYDluCR/PAYfjt+aCXfJrC2i3Zq6O/UZYD9kJF8tMiIiGvf77ymwbEaZVpGJiEpdJ1hJlAMjsWoKbDdXKjY7ddpGjlwumOBSjkZCfzC38RfG0ByNfimbKO4ehdvcrdQejpw8KL5pXLfPnUS79U20CpyWRBQKImILfTwGtKc4xj99vBlNBbcT6+//1rXxXRuZr2r4i0VGRERydAezU+hBD9UVuO3mHDFRowl6ILRvEVE+8QZ6Be4+e9mCbsC2KZ7/gFJMZjIMG1zggdtgdZ8cNz9Fl5Icf6+/zflJx8PaoaTNj5T6t9iKqFz8WoW1WZ918pR/PBXcjq0Pwek3zHd5/4vYsn4SvVpkRKTNXCj3iWYVOO4UMPeJqOxNZdxcHIITpVZ7VacTJfOJhg4yEbX+H4jibjrLH3AZcuRE8yZYTtV6kws8mHVwXYHj8WdMFJivP/QOcaYJFpZSSinFYSvVWIIS4XD8HV8DsMXFxLsB8A+yfwAfXpduN3sbpny484xeKrL2FprfYS0pcG+BbJ9InyG2M2cbqm3UXeBcsOZtI92s//8f4IE3a+2x8u9FWC/i2RxQc4k2nARiHEcntP2ifhd4je9lH4mKjSHVVnJiShfZ7Grr9+7BArRthDEhW4md5qsb248jl+/rDsMHLLZv5x+wzfNSkdXE4hYBgFPHjw6lWD9+X3gOAHiZDQCy6xT9hq9EUtQKmGVNvEbifNXvhxJeAaBqY1eyZpuJ0jUXYjPNchCfmuAYE/ebSG1wgYdug9QtcDp8ZWqBra3HJPMHnIbN6AJgktZdTB+PODKPMZ4K/gzuWeCXiqyhVFwoizfrVbVmEdXz++5vzm1bNHsxYTdFZo3G5FzasiSi8SmHtPsKW9ndVpxbKwfomKV2ux4EZkTJ5wYItWUXeOA2uNoiVt3LVhS4vPvM+9tbO3R5EJoC16dD47XFURvTHeJnMZoK/gzuP8xXiqwjje+up+hv4e0N552/sbTR1qFvPTZPCMSBmCiP44HfkrpqQE5EFApul0SUK8mk0i1ttx8zMcE+5gysWnWBW9Oruw2laD+GN+qwosD+4L/j1AeKa73TWkt7cAyptiXAkdLcnoBGOTONeRalYCFRu+H1Q7ivwK8U2V78x0ScN4YHJYC8tIWyeR+6VE48E5uIYlGW4CUpERLFjGkab7d3MzHBHHe24sLp9KcdT0tRN7mCiFLBUyIqbXR+fn+dGH7GIJLIHw3OPnSTP5fs5FA6N4mIKG06o1xb/U6B7TOIg9Gngj+FDcJ4pcj2wh/a4GrzniAGQDIkotLu5roCTEoJKaXkXEoprZSIZEwk4drtolk/hGgBEaOxMMViqFvTCs1LaG8ObQ/S3YZSMaksZtUWU3c05PgjhGZWSzYy8PHgrfFSFNg5NMl1ylWz777Up9swFXwuW1TztSLbRfyICc5bmSAGoGoVK9utGsV8IioZUa21NakgIo52V04P1rT7exmZYDU7g75LH1436E5b+5auoe5kbuUOFfhbsTqLi6bfjVxaZS0+8N9jk219Q5F9M2JtgNVazA/XAURjCT0HsQSSaywABEkI4G/abgk4TKH6C57WUZmOh3Z6WHxqVTI+C2iHki4J2J3cIXM48qHMOh/o87Z8qsnW2GfV31L1F9+pLhMt7TpZR2YiqD6rTs6GD7nhVO87iszZ3Wm0K/W5R1o7ErweGSyXiNLeWMmUKOyXrGUfJ2Xrk4GhCcY+3+SxCNZUM7HxzEb+IIDyyZl1txEDd6f2i/bmzQzRXbb1oC0i+2nsnfRri9F/BAaHcZOCox7HqkgByHrT6gogA1p71mcMKAL9fLftFQj07HX6KONV9fnrZN1iOY9t7+v76H2il69uT3+aq+QEii11M5YSRUnlIQrWo2oCa2GWstgwZHo4d5p8/HmMplyFHvxSaSmJFlNJbRHZSQS76yzulniTTZ/bGMRZ6H/7jIhIDUc/0Y2GcW+L7aE3PjDBGK4tSFlHJwm5tm0XPriJEWtWtTupoq1WWfqXn2WBNyVzWb5cAHeCAEu5sFe72DDEnrhge3vTEYyM0eIQtGK07ovsJF6XSFXSn/GA1uXqqVOkDF0+Lc9HnzFgaIBnTLBGDOCSwF4vhyOOS6NQoL2RpJ8KJM+oxiMeS8cUfk5zUtV0eaCyjFmbGuZxr8XIXr0y59wo+NLXjNpFj8RdmTwti+xk3JelHWX4sySQos7yO5xnaXk+mkzOaKKgddQNVVt8iU1/W3YnX+ZcFuzvoecT7z6r6MJuI/mMtQ62+COTZDJjnBJgPnlrP+1OnFFGoMWGIct6foAlSRIweYCHwvU+sCzKAcsiO5lXZlL9AzE0sq3ggvpxDvVP071kyQAPTbCMRo0oqkN6yhqaQHvvqZLdT9O77TcHz0V3Z/OyeXUVEsWN+auPPfDse5mioqWcfIsNNRv1fA+ZI2SVfMmZUnzns0Fkv5A/kEMFbrpVFXABoBjOoRNNf9t3TgzwwATLCKOkyNFryqcUWbf6lukHVLLvjSaLJV2XuuykTKRTuALgl+tMZsf+a5zJAa4Ji9PFjfPIO3q+Da8qqj4j29W1AMu6XNZ+20lsEdmPZbWY6Cr/werNVAHwRi2jStavVJqJmnOBi2A67NkcCKr2z2xotO7PoB9H9qNGUt9HdW2XMqvrKB/0t7rx4vLQ0vLnpExkVWQA+Krpr6443DpG46HnIDMZ9QN0UtwAQMpiMu86nY0iWzs8Ot82kdsZrBcTXYVIdsuzfr/Ix+uumg5OeYT9InW3C2zPrRhrC9HhaHcuxRMOjqjuK5pjDbmAqIOl8lG+NnVsDNUMozKRdRSlu3qGU94JKnKVtbDSvNwiTjpfhD6MtuRtpPehMt0YibVp+3u69H6v7Sy5jVgvJrpMnZGjeQR9Zim/Pck3OAuo+n2P9vXluVKrJ2rwEaVgT0j12ZelzQHL920G5QPSDxUbda7zTyPNlYn0mbUihEnyhTHu4hnQxZZcG7dyW0hhHRPxHM9s3fBjE1FtUeC7ImtY22KbbTtLbmPWi4kuAyJyIUoiIhfdAaNOlfkw1eVkF3hl47zVIQV0kZs+U/kTEgVq54Gb6bpNJLq/dNjpW4diHCAUW5JZK13c35BhAYs6stCiHRBMmV0SheyQ4H81vdmjD3htUOC7IlNtri/GJvO/tbbT5DZm0ks2AiIin3E/Di3IbrDphvHBwNBbL9V0k7XFiu7CWAKWCkNlMxnrib/Pw+qsfC4AMEVEafeXRnr6GZZy9qDDisVIN4xwc3ZvvaU7P055czwrPGSiKyc/xD/aKbmvwFtEVhOL5ZnPbNtZchsx30s2UM+Jc1dKqR+O6HJ9ln4+86oeCL2FVEkppeU+I8UnERHFWreKVViO/+pwT087uuDc8KWVgJKtVKzv/ZIli7PQkvbPqzsszY84Az8x+LY42ie5q8CbRFZjrzzuubbT5DZirwtMO+MI2RF5tM6Eb5yQbH3ffkbOTdnkB7GWJCiWMyz287mp3aP1FrufaLB2drL8IdtpDL6STa6mUioi8g9dpryrwJtEto+j5VZa3EqJfEuKQSbevS7wTgVOn1SyYj8bE3qv5Hc9ipFz0z6ppZVae0WyaeejfdsF7rt4Hyi+bMa3o2ATpdInhZSI0nqJZ22t9/vcSxG8TWT7OFpuMiXOckuVfYURItrvAu9UYHe5A/0UFgppjbBON8Bj5yZt9+fm52H+ik9einaUHtu9noUWrWaOq3XEx7PQSPiUyrxJFRoyIaWU4tjzIXe62haRLRm+e21Hyy21iAR4kzy6H+Z2u8A7Fdh60bGPb5CyDUNMvOVNjzFxbkKpVKjYfB25eKVvpL3fMrJ7Ggstlqu9o++Ij2fkBPJYlkSlpbQMSc/sHZtEtmT47rUdLTfl99nzdQXe7QLvVOAf7wIT0WwRzBHy7CCO2aedhiqeHzhytrhIWuqpU4d2T2fQMo3Lc4cd8WFLGYOpx4qTPcomkS0ZvoW28+S2uZjoZnYV+M6qlx7A2Ib7dbe4s8PPj35PtMBRhykAEEvHJasr/NlwwCxLIgDd4aEEMvFCBmHx0YMYtHRlupO2hvbRjy1BFQjv0HRC32ObyJaqaC+0nSc3G0hQh/JmlZZXYqaXbGSXAmtd6QcTX8e9e0SQnH8AVgsfBybntkY4mYzmTm+10ca9/rKgChnAxnVDRi1tr3Dsk8LPM/h25Hj7K/I8yjaRcYkEjV5ko+D3ubYz5dZ2iEirKvOtXjJil91O3yKJdilX/Qp/ZU//MCZlIle4exKlnfspgEk19+PmW/RwwMFU8GFfFciJcoBelIlrs8jmq2jfaTtFbpuKiW5nnwX++RNoAGBhsnaj7PADPzNkfQKuyrnT3e5OnfpkCkt2b74l0M9f6WeQHj2PlIDz9jjX9RUpITeLbNbw3Ws7Q25Jk6sgKrhE5oXNDWzvJSN2TqHfg/WJ/lO8AC313xV3Jpqb56EJJCzxebMnmemGLe1JuIxd2q+wtME3e3ggrn9dBgEkrzjkvV1k3YOIYM1KTW87U27tdyWwgEAOX9zSS0b8agV+PX2ZyCSojloxW7Z7oxZRd7Sq6MYqDgheNP23engMq7uyZAC8n50NY9bwLbWdKbdhMdE698JDveSB2bxhnYUykQ9Tu2wxBFFsNa+IhRaiQTggUR/4kD8ex9FUxvSZ2pYI83XMVNHuqtfOVtimk+S2tZjoVowCvx9NLC4TXeEbNPud0xYiPRywpgkdtlYiiDfSVsYsF/a1fw6yO/4aU1wrYCu0uTYiOklu3ygmugmjwO/H1O611eBmLaI/PmpXWsyNQ8l/WwWHNSaGTyuhN9NG9C5y+3hpNm/DHorGY6qyPvlqlLkLLbiKiVuVJdWRybffgKJbOU76+IlaaPNt7yI3o8C/g+VqcNXf/BVJXt+B1RJ6byK3/159A4ZDSBa7YmC9Qz98CctCw9vIzSjwr2ClGlz0uso9P5z1EnpvIjejwL+BaHn3sCh+ls/2c1gRGt5HbsYH/g0Uy7M9p3pNwa+fz4rQ8D5yMwr8y6m+V3niuyRBUnFhvYe1+g4ny+0wjAIbHuBW2BYip5BH1Fky7MAosGE/zTyz+irkK2sL/8uYRSzDbiqvtrtMIXl+OTMDYBTY8AAZvLqinrVe9s9wHkaBDbth2h9Lhc8N52LOAxt2I9Jms7TQklQUUZXBPm9ZOtDqTTP1HrlhTsQosGE/oi0H3+XGqJzAEurhXD2LVNdE/+8L82H+EIwCGx6m8qBqlc0uiE8NQbxWPocnRZ3+hv3z+mu2kQyPcwvsOmyp+qzO1d963+pvznCVL0tl+6MwFtjwKE6rv3Aqce4RAIsDiDgDEqO/AMwqtOFhHM9vw4YjZB8fHx8fp+0pCYb6FGBVnfUVb4axwIbHuEVp64kW1ckeMACgCkKz7dxhLLDhIW5ZLgBETv3fJ6wqeXVWV2OCARgFNjzGrarrW2QMAGfPiOdosqEbGwzATKEND3HL3AwAisgHANvLTjfBQVV/RXLnff8IZhvJsJ9b0P1ZMgDVpYo5UJ1ZcPSzSAVQfD7D3X4DjAU27Cbp9ZcxAGCxd5GsyuR5+psVUgDg0lhgAMYCG44mOTk+KuMMAKrCRGEBRoENhrfGrEIbDG+MUWCD4Y0xi1iGKcXSdm5TxTvYuN3LRwHL9z63JXlwhWqtZMovwyiwYcptSYGUCwCINirY+MTQvc9tSbxtn7/8xQ9e/z6YRSzDlHuWMtsYxzhej95qgRfftxH+FmWNDsEosOGdSJLFCXKSgJ24Af1DMYtYhoMo/udjzOXgr6guiZT89jUTB51dEimKr8u/llzPWGDDQTj/97/jl8aLWN8kysB5UQCth3xLQgEkF55P3vvpWlho+tWYRSzDMVRBerTnWaHwwLUEl1WRCYDPHCVMipsFQMok+n11mtYwCmw4Bu/4gtg2ogih5tb6SgB1PrsRolu3ms6hs2sxWuX+RZgptOEQqs/DDTAAx2Pl+LXAkf5iKbXPIp/cxi3A7z26ZCyw4RA8ccbWTTLe0U2CKpPuov46hZq/jV9bPNGsQhuOoArWyt3v/tRsnKNHhnHJP4P5tyPw3Jm5spL4vRUczBTacAROdkZ90eiKdEb1PotwdqXqlvm/VlGXMBbYcASnGGBkw1iuyqmLmAotn07hOZdLBADVhaUCwT9W59T4wIYDCLqE7ofWHhu5wJ7HmoSUraOrlWLKPCUBZP/WLpKZQhuO4NOvNW1Ue2x+pruZ6i9c3bJnX74NIPtieROTfUHYqHh04wxAlf1jHdpYYMPjBLxRo2NrjyWjY0UiDAqILGi3kapLV4opuzZ5Zv+dYww1xgIbHudT1TGTB9cem9kFzopMdjEbt0Ckj3/Le2MssGEfUdbt2ARtdeCDa4/pLrDDFAAIoc3KI2QfAGZXqv8VjAIbduF4sFtL6LWOqgAOrD022AUOpocUnlOK6YdjtpEMe7hZNtq0GZ0BBgBUgTio7onuAgdyNpbqHza9DUaBDXvwhY2gMbPRYA/4uNpj2i5w5cyY2ueUYvrhGAU27EPIxgQnxcDfPa72WO8CFxfM+dS2qXBmFNiwF9WYYG9ggI+rPZZlzZ5Q4nxls2tiSngFgMr5h/XYbCMZ9vJZ+DaQXMvhi4fUHqv+Dv8/v9BceZFkVSZ/7Wnf+xgFNuwluPEcuAhdfbIvGQPAJXnSAvHZpZh+OkaBDbv5LHw7ueaD9WFTe+y5GB/YsBsLETx7uL/TZHj+t83iEzEW2LCb6rPynfzXJrt4C4wFNuyG2bjZRn9firHAhv0Un8wY4NdiYqEN++E2M/r7WowFNhjeGOMDGwxvjFFgg+GNMQpsMLwxRoENhjfm/wEZ169L73VzlAAAAABJRU5ErkJggg=="
\begin{array} { r l } { 6 \pi \eta \Delta \tilde { G } ^ { T , \mathrm { c o r r } } ( \omega ) } & { = \frac { 4 \pi } { L ^ { 3 } } \sum _ { \vec { k } , \vec { k } \neq \vec { 0 } } \frac { \mathrm { e } ^ { - k ^ { 2 } / ( 4 \epsilon ^ { 2 } ) } } { k ^ { 2 } } + \sum _ { \vec { n } , \vec { n } \neq 0 } \frac { \mathrm { e r f c } \left ( n L \epsilon \right ) } { n L } } \\ & { \qquad \qquad \qquad - \frac { 2 \epsilon } { \sqrt { \pi } } - \frac { \pi } { L ^ { 3 } \epsilon ^ { 2 } } ~ . } \end{array}
"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"
\Omega ( \log _ { p } ( n ) )
"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"
\begin{array} { r } { U _ { P } = \frac { ( P _ { 1 } h - \tau _ { 0 } ) ^ { m + 1 } } { ( m + 1 ) P _ { 1 } } . ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ } \end{array}
"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"
= 3 6
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAWklEQVR4nGP8z4AfMBGQH1VANQUsKLyze967uOAzwXgPA5o8uhVnjTHs+I8MzjC8+48GUE3YYyyIbgCqgrPoLkBXsAfTCYwoSY4xTZDh7G48CrCAwRBZI0QBAH2xLAsjASiQAAAAAElFTkSuQmCC"
L
"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"
I = ( I _ { 1 } , I _ { 2 } , \dots , I _ { N _ { I } } )
"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"
K [ H _ { E } , \rho = 1 ] ( \vec { u } \sigma ; \vec { u } _ { 0 } 0 ) = \exp ( i 4 e ^ { 2 } \sigma / \hbar ) \mathbf { k } ^ { o s c } \langle u _ { 1 } \sigma | u _ { 1 0 } 0 \rangle \mathbf { k } ^ { o s c } \langle u _ { 2 } \sigma | u _ { 2 0 } 0 \rangle
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"
= 2 3 + 1 8
"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"
t _ { \mathrm { ~ r ~ e ~ l ~ a ~ x ~ } } \sim E _ { \mathrm { ~ t ~ h ~ e ~ r ~ m ~ } } / Q _ { \mathrm { ~ s ~ o ~ l ~ a ~ r ~ } }
"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"
\lambda \geq 0
"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"
- \frac { \partial \left \langle { { \bar { \mathcal E } } ^ { \dag } } \right \rangle } { \partial t } = - \left \langle { \bar { u } _ { i } ^ { \dag } { { \bar { S } } _ { i j } } \bar { u } _ { j } ^ { \dag } } \right \rangle - \left \langle { { \bar { D } } ^ { \dag } } \right \rangle + \left \langle { { \bar { \Pi } } ^ { \dag } } \right \rangle + \left \langle { { \bar { J } } ^ { \dag } } \right \rangle ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsklEQVR4nOVTwRHCMAxTORbIClmhHcGMUEZoV2AmVkhGoCO0I6QjiEcSMCSBN4d+lnW2Il864jMOX/q/J9jn0wV+Hobzolg+cDUARlixsE9WCaYpAOLIYFEVkCtGkqQo9sWkRx/NtF6xQQAAi6maJPtYOUh9xb6kAWlTsSI3tpYge/RaoD0IVpIMMIrUghSgS2lEHPWwvMm2csheRZcsYBAaHiJu+pZvtyhjArr/+xdV3AEwmfFG1fY1/wAAAABJRU5ErkJggg=="
\eta
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3klEQVR4nLWTW3HDMBBFTzohsBREwRRcCKJgCimFQFAg2BBSCDaEBIIM4fZDah4dPb6qn52Vjnb23pUOor0+Oud94Ahclj+bzgb/SCSdChftFCVJIgWNGZakGBxgaxWQogEWJancpE3Afm6oGAGWnsx7D3AN4BsgeVFUcTNgiFWZ1wHwyanja+GvXH/DvB9T8gZsKRgMSUK1h2Dg5obVugJMDUAeYK7OInt9rhuVXNwawGPVgL0HPIdRVrECsFZlBgMIv7O4LNnlz1x/2wEX0jRUfPbjNOdih///m13gB7hk9GOlLpZfAAAAAElFTkSuQmCC"
\mathbf { B }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABJUlEQVR4nO2TwXGDMBBFHxk3IJcglyCXQEogJcgliBJwCbgEKMEqAUqISoASfg4YHGbC+OBLDvyTDvvf7n5JmXhPH2/6d8AOWACx/DzdiKeshfZ0TK886fZ5vjJesjOQCeA4fsd27IvmkvoxVI/Csl/57s/jcezsl7siQJIGXOcVKKpagaCH8nVjLRowQ94JJB0AIq5sAJNqEvkfLdeKFGXlRuzM9dBJDjdI5lenLXnySmrwkpAkS5AGaKSO4jXAkkvyNI8VUjIBIq6AFrdMuhViSlRAJAcO00oGejzQPyOgj1sReAcpOcP0DibTBIzGLbb7evAnGLfUgyTLIA1YSXdsqF9HMEjyFGHOwJkZaBit37q9JQJnpkPN/BLf0P/4jTtgB/wA2FkT2EsCQvgAAAAASUVORK5CYII="
m = n
"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"
w ( 2 \sqrt { 2 } )
"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"
5 . 4 7 \%
"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"
\int d t ^ { \prime } G ( 0 , t ; 0 , t ^ { \prime } ) = \int \frac { d k } { 2 \pi } \left ( \frac { i } { - k ^ { 2 } - 4 } \right ) \left ( \frac { 2 i k \left ( i k - 2 \coth 2 x _ { 0 } \right ) } { ( i k ) ^ { 2 } - 2 i k \sqrt { 1 + \sigma _ { 0 } } \sqrt { 1 + \sigma _ { 1 } } + 2 ( \sigma _ { 0 } + \sigma _ { 1 } ) } \right ) .
"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"
\begin{array} { r } { \frac { d ^ { 2 } } { d r _ { 2 } ^ { 2 } } ~ ~ \hat { p } _ { \mathrm { ~ S ~ t ~ } } ^ { w } - k _ { \perp } ^ { 2 } ~ ~ \hat { p } _ { \mathrm { ~ S ~ t ~ } } ^ { w } = 0 . } \end{array}
"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"
- J ^ { ( h ) } \left ( q \right ) = ~ \nu \int _ { | k | > | q | } { k ^ { 2 } h \left ( k \right ) d ^ { 2 } k }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABGklEQVR4nO1UwXHDIBBcZdLAtUALpIRrQSkBl4BLwCWoBbWASsAlSCWgEjaPRAhHykwi55OJ93XA7c7eHdAQ9+HpTv5D4L8KnJqmeZnXNX+KlJnEl2Vz6Cq/zvF4CQAgw14JqQupstobFKfRs0asaCUaFdYgVEltdGgzSdKbmp+NRd4ItD4zi5YsVZK92JG8aRpJLz3iRiCRJNxqLZBkEvExiM0VP6LPOwIcO9/WJbxzshPA1fxslNwKZAejuu5/DY9xT0BtJP03rlWEJ4nSlOePaQ69ApNZx3uSevBztwQnEwBUh4uTwORg/Vis3WItIJKkms8O3PksTgeEhREBiAUwTQCWx3O9OAUAc13yjr2FCn/xQ3kI/L7AG+BZ9zyXAWO3AAAAAElFTkSuQmCC"
a \simeq \lambda
"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"
A = \kappa \xi _ { i } ^ { \alpha } \xi _ { i ^ { \prime } } ^ { \alpha ^ { \prime } } \xi _ { j } ^ { \beta } \xi _ { j ^ { \prime } } ^ { \beta ^ { \prime } } A _ { L , i i ^ { \prime } } A _ { R , j j ^ { \prime } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAUElEQVR4nGP8z4AfMBGQH1UwUApWmzCGvUdT8R8ZMDAwMLigiPxnRIluRgYGBgbUBIDpBkF8bjBmYGDoQFWAagXDrHuhxngVYILBF9QjVwEAuaElUXgGFuoAAAAASUVORK5CYII="
\cdot
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABN0lEQVR4nO2VW5XEIBBEa8YBFrAQC7HASMACFrAQC1kJsYCFrAQiofaDVxqS2d89e6a++sANj+5q8iDe6/nL/Af4g8DXS46/vkvEJKMppGwOMrDDS8CpKACHKIEdiwC0Zad5OgMb1h5YsJ8Aq/t5RuUaEOEGgFY1wOflhELaFiQ5mXG+jIJkKFeSSuui7TYcEy4D6uKIZL4b2o0HrdhItJyN0pZEy/ooh0i0uo3a4YmLOjWZiU8c6t5v6gDorrNAkhGeuMsjmXKJu0qQpDbvExWwkpBuCMY02irmYjU/TUDdMHkKFI7UwFzipZabun61Kh3qajNZLXeR7VwjpNiPQK5Rsn3fmWTtzgSs2Pr5BeEEtGauMqL1RlPUY9X27ypW2708IL0xq43KE2QPaZXD5ODx+eP8I+AHAFq03B0zTj0AAAAASUVORK5CYII="
\langle . \rangle
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABA0lEQVR4nLWTXZmDMBRED3w1EAtYiAUsYCErAQutBJBQJLQSQEIjASTMPkDzQ+nytHnKZc6d8M1NCvH3Kk/0c+ASdtMwTcuHLrSue3VsoM3hpwecszANN8BeIyJJFrDjZtYBdFuxHuEAM78/qQaqFOgAHkHXFWCMwGyAOup6ALRbUcJtAdqvQUgmPTI4NMFhWIDmo/GdS8kToE61LM8jYMod/F7HA9gApHh0MDlgMt2nf31wH56cAD1g6+9A74E4bVQRY5M072rUks3aAXZOgdkQZ7fio1JAdwLxagD7Ug6oM4BpWmcB2ll7YG1cE3NZu6RifXr+6f1iqfOhABT//zZPgV82ex/05ZDuNgAAAABJRU5ErkJggg=="
\sigma
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA/0lEQVR4nN2TwW3CQBBFH1Ya2JSwlLAt2CWYEpISoARSApSAS7BLWEqwS7BLeDkYRLACOeQS5V1Go3mHPxrNSp5T/DD/O0JT7S5ttTkvDfWNrRdyCL13oNvbfNHMQg+jOrZZ9UB5LxQ01AE4VkeAYRnhhY4IMN0VhmYKdQQKOkqAM2kuEeC4HuK03gEIreqcpIesntiqe056FVqYl0iqiVE1BMXIQU0wah9CVvtZs6a1YM9HN2zIYTc1FW26BSHSUVCfqNahTW33+l72X5Ne1qSuAUj9L665pOR60zAvt2QkqlqS/VawpldHkg+EHGr1jfxIMKdYptiqq//zOM/4BCRjKOpPSphnAAAAAElFTkSuQmCC"
\omega _ { 0 }
"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"
\hat { \chi } ( \tau ) = \int _ { 0 } ^ { \infin } d s ~ G ( s , \tau )
"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"
( r _ { i - 1 } , r _ { i } )
"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"
P ( \vartheta | \Delta t _ { 1 : K } ) \propto P ( \Delta t _ { 1 : K } | \vartheta ) P ( \vartheta ) .
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAGvUlEQVR4nO1b7ZWrKhQ989ZrgFsCrwRuCaQEpwRTAinBKcGUYErAErAELQFL2O+HMQJ+QMzMy31ruX/MMgpy2B7OF8wH6MAW/nq3AH86DoIiOAiK4CAogoOgCA6CIjgIiuAgKIKDoAj+bIKafxqi6+e5Hq524vp56fbLgLchL6JNhAZUritRQYu945S51Tyxrc10cOd9BJXMRpvkQMsBVBmQlzsHUhaQ4bxXG4dUvo8gHlegzAwkwXDAZC8MJtpksYLv8DaCygStJwBKjVcviKrTyQ3lepuR/lLxNnK8aIT762k05zK5bU5X7/e7CLr1eVpD2RFRx18Zq/usWHrr/Mv/vV9vX0KmEhoRADADK0oAbOdQVhrYZBsEyzyD/rME6YxYaaWZPWhpRWItKgBAqQBIA8BwwRUAI3cKIbiUvEpvn+furx8lqGIVNJP5/EmxGtVopgCUosXdg4141s23BMVY3FXOUHmq+qMEMQ1ALXEh1wU3zKIUQ4zEJ90zUa/XPuIqAwClzLJWr2nqFpirbi5Bldrxtg1oBox+OsCW3Jke+YEeL2DFfJ0GUL5hVTwHQKkRooPclfhvx1738lM/Ye7jYEREt2z+oOYbbonX1/Yuhiz7+1VfithouR8HNKwg6vYEB8Jz9D53O/heR0sl2kxIAFYp99VqwSw9kFFUWVJAGqHBTUTrkuLFQV3dP8/3Onh5+Thx3XdEZ+59yWZDUfu6iCpLAhq6UX+5JYSjM3BWO79c6mQxrD7tWgiro0llHCr3XsI3NFXF3HkpZp5Fz01aKSSR9O5vz8QJlVwXQsillFJKAxRKKwBQwntRviVxkbgc/HfSuqQti3uKkKBA4OHegm/YmokRU/bs9iXIXGutuUYrrFYADPMnbcWWT3Z0od2yYO6gZiO4SLEaQfdQYACAWAgNg5m48hbCWCnvPCsntyXIUXJZDVmvDLnXq5WbVroErZelSi7dgsNG/cqmBC4BQTOBAdhFJfVn4ophLIAxFC0dTZsIKjLAshZmTsdGWOdWonRqMpDccAUEaJWhVMoCSwKvJibeTFbFcB9MXkxVRMxyusnBxXQfdPn164uISNb0rXihQjxCZrdrVvAz0UNgD0Ivd1udycflY0rjnfr337OWzd3J1vKTTHfKOJG83J/9fogiY/6zuy7clIOzdwnq2PjORqz0mvUnIhLEGPHbJPBlpY/XV661qql3DgI50c6coDH27DpZEqeOE4ngETm37o2vnFPTXYiID4WeLiirhC8YcZ3aYa3Xcn/pX0R6Ds1GsWfyNmKlpjYRVN86ypwqlheq37/SJF+QKvRNQ9T3jmrKjZNZwmnnJwhbvUIECyux5zCTmbydJ4Y7u9FIF7y0rVCAvPtHJ1S3o9uYuj1c35uM9PBHEyaB5yizMP22rgN0xRB65cFopG83kzNe3YjYQKsbqj8yg2m4UdUiuUl/Wv6M273u6M6n0y3ejK297dqUMhh/LcfpG9dmPF5Y9/TXfYqXghER7x6GvhHdx6/GcCKietS/SfXGq2bbI30teg2elPL1v7lW5zlD9YUudX2mc11f6dKte6auYJL7D+uV5L7mLnP9OLtTM+Zi931LS49QzY18EwuW85WjV2reSWWsMgdQxFfjZmwZbIh5M1ld6Y+CkHossWZg9pYTMXUhIqonnftiCyWdBcz0oj+vBAMiZY1JRTNLvIS7wIsICk/+TFb1eNxEaRiNX7jMAMByA8Cy0gvVDdtbJVJKE2DkyPUjxUna0/A/5gYsWytXG+4F2akzcQtSNI5hgFYMAxkyTqhuEvaIl6G51QSYFlL7/kOl7nQuphHzVisltpZ791Nn4uXS43XFntsbSYDlevDDAFlU7oI3iXtcdiknj8EwAFnx9IbYA57dGwPFLGvYS9uXc3xRXff0WRHVgpHnR4X/cw39KUuzfh5qSUS1Ijr1F+qK52flyTZF0t9R5/SQSaKG+H3ExrPX8pYwXH8SeyqmjSBqSBCZHZ2JqK+9RPd5DXwGwxLLirCImHK2w4ocwPMGkBu/ovMsfNl+mKBq3F7X5FUKbcLORbbvC7aEyLZJbFzPcf5Xhxds4GB37cckoSQNLfZrUHBs4ONN/w7V/Lbfukc54cy+BCtOdm//S+PX2l7+YjuxVEj+FgiLFti9iR6cfnmbBlH92f6MCr04o1CB3nYET4poCXAXulgFZhv9NYgs3qZBVJ/ab45MB7x2XO/cBdX+9520l2q7QL8Xrx1n7Irgzvs06H+CP/t/Nf4AHARFcBAUwUFQBAdBERwERXAQFMFBUAQHQREcBEXwLwlchZaBhNEzAAAAAElFTkSuQmCC"
\Gamma _ { O } ^ { \lambda } ( p ) = 1 + \frac { \alpha _ { s } } { 4 \pi } \left ( - \frac { \gamma ^ { ( 0 ) } } { 2 } \ln ( \frac { - p ^ { 2 } } { \mu ^ { 2 } } ) + \hat { r } \right ) ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjElEQVR4nO2SQQ2AMAxF/wgGsDALWKiFWcACSMACGrCABCxsEpiEz4VDmzDgxIHwb21fmt+fOuJa1c38I0BtqqFB7rwlqCQjuflVt6iByZNkLwbQHhYPALKkksm5PcC7K4obTvUy0Bzu2hIQMgAkiFmhQouIJKUvRs1JIsewGcCZr85zCsYB4P63fwbsV1uGnWS5l2wAAAAASUVORK5CYII="
0
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"
\begin{array} { r l } { F _ { i } ^ { F L I C } \left ( t + \frac { \Delta t } { 2 } , n - \frac { 1 } { 2 } ; \mathbf { g } \right ) } & { = F _ { i } ^ { L F } \left ( t + \frac { \Delta t } { 2 } , n - \frac { 1 } { 2 } ; \mathbf { g } \right ) } \\ { + \phi _ { n - \frac { 1 } { 2 } } } & { \left ( F _ { i } ^ { L W } \left ( t + \frac { \Delta t } { 2 } , n - \frac { 1 } { 2 } ; \mathbf { g } \right ) - F _ { i } ^ { L F } \left ( t + \frac { \Delta t } { 2 } , n - \frac { 1 } { 2 } ; \mathbf { g } \right ) \right ) } \\ { \phi _ { n - \frac { 1 } { 2 } } } & { = \frac { r _ { n - \frac { 1 } { 2 } } + | r _ { n - \frac { 1 } { 2 } } | } { 1 + r _ { n - \frac { 1 } { 2 } } } } \\ { r _ { n - \frac { 1 } { 2 } } } & { = \frac { M _ { i } ( t , n - 1 ; \mathbf { g } ) - M _ { i } ( t , n - 2 ; \mathbf { g } ) } { M _ { i } ( t , n ; \mathbf { g } ) - M _ { i } ( t , n - 1 ; \mathbf { g } ) } , } \end{array}
"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"
2 . 9
"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"
\sigma _ { { \mathrm { X C } } , i j } = \tilde { \eta } _ { \mathrm { X C } } \left ( \frac { \partial u _ { i } } { \partial r _ { j } } + \frac { \partial u _ { j } } { \partial r _ { i } } - \frac { 2 } { 3 } \nabla \cdot \mathbf { u } \delta _ { i j } \right ) + \tilde { \xi } _ { \mathrm { X C } } \nabla \cdot \mathbf { u } \delta _ { i j }
"iVBORw0KGgoAAAANSUhEUgAAAF8AAAAzCAIAAAB+GEODAAAU2klEQVR4nI1bW3fbNrMFQPBO6i5LdpymbZrVh/7/1/Nyzm9o0jTrW3WTOpatK01SvAE4D9ucwFLSL3pIZJoEgZk9e/YMYP6///c/rutWVfXHH39orX/55Zc4jtl3fIwxnPPz73TFGIMvQgjGmNaaMcY555wbYxzH6boO19fr9du3b6uq+vXXX6+vr8MwVEoJIbqucxzHdd22bZVSSik867rux48fb25uXNd98+bNfD7H4EopxhhehwlorY0xdV07jiOEwONSSiGE67p4qmkae2THcfCjEEJyzpVSQRBcXl52XRcEwfeYBuukf/+rHe376RHdfzAbKaWU0nEcx3GMMTTFpmmaptFaB0FgjOm6rqqq9Xrdtu1kMonjGEaRUnZd13WdEMJxHM45LKK1HgwGjuPgjfCW1rrrOpgjDEOaD/yBobTWUghR13WapsvlsqoqKaXW+r+uGWCBvb/HiCePkFdxUUoZhqHnea7rYur4YEld13mexyz0lWWZZZmUcjKZ4FfwsdYazsesgE2YqWkaoIZz3jQNOakoCtd1gyCAseq6rqrK932llOu6UggB2/u+33UdgfNby8bybAich9W/mxW4AEyEEEKIJEmWy6UxZjgccs7btmWMwf/H4zHP8+FwGIZhlmVxHGutsywry3I6nQ4GA8QLY6xtW86553mcc611Xddt22qthRBt22JMxBTgCZj4vo+34B4MBXxorSWxAwIbprFBgQfox/Mv3wmiEwPBLphHHMcwFhbfti1GU0rVdV0UBaiEc47YKctSSjkcDgEu1oeM67pYBe4PggCLVEqNx2OYyXGctm2rqiqKAkbE97Is67oOgiCO4yiKfvzxR8aY7LpOSsksSsOk/8U056j5HtPYcGPPESeE8H0fdIhXY0q4pyzL9Xr96tWr+XxelmWe50VRBEEwHA7BSmQF1nOH1tr3/SAIlFJFURwOh7IsMT7MXVVV0zRFUWy327quEX1SSlwxxlxfX7uuK2kqMLnjOPADYcw2EyIO4II1bSh+Cyn/8iv8Fl+AC6QzIiDP84wxq9UqjmMgq6qqqqqSJAmCQEpZ1zX5TCkFBNV13XXd8Xjcbrd///33ZrOhyMI9bdviXUmSzGazwWCQpmkYhl3X7ff7LMtgh6fgJ7RTjFBKtk0D/4P26JHv5x0MCMZFQoVZcR2+gVEQXEqpKIqurq66rttut03TDAaDrut83//hhx+SJDHGeJ6HBSPK2raNoggXu65br9f/+c9/QMOYp+d5SZJMp9PZbBaGYRzHrut6ngdiZowNBoOmaTBhiccwy3PNQoZgfQogOYArSLrsLOjOgUMZXQgBRND4GJCCFAPiXW3bBkHw008/3dzc3Nzc7Ha7+Xz+5s2bKIpoQKUUJWzP8+q6hq33+/3hcIAt0jSFS5ChgiBIkgSeRnIEfzPGwjD0fR9QkOce5v2HuNCGDyBKbqeVfBU+J0RD9kIcneR4us2WkZBtQojr6+sgCPI8j6JoNBoh+4BubPQBeuCvz58/l2V5eXn5+vVreAIx67ou3qW1hoIhhSGEkFJielprac/etgupJnuRcNRutzsej2EYjkYjuv4vCuDENLhIaD0xsS2smQXJMAx//fVXKeXxeESksJ4rbWbAp23bsiwfHh4YY5eXl9PpFKwMgJD5bK8gDmx8GGOkPWN7VcAbXSQDZ1l2c3NTluVyuYTKBKnbn/Osb7+VFoCMk+e54zhJksBpFLYUa/RUWZaAABQg66kQC8ZC8LhS6v7+Xik1m80mkwmyEgEEwKfcQlM6CXNBTrPdi+e/us6u6w6Hw3a7bdsWqpQxRqLjBC/nFj+xPrj2zz///Ouvv4qiONEH9N1eDKKDhrVfjfVTStput67rLhaLKIpQXuBx3CmlRIiRXTzPQ7Q+c+T5AmwbQz2TOZumybKsqqowDKfTKfTYt3LWV0fGsFADjDHgf7fbgfIpOmy7kJBJ03QymaDawkvxKyId+l6WZdM0URSlacoYc12XXI4HUSEQb+A7qjnYCLdJGzXMwjNjDM8QO2it8zxfr9eO46RpCv1GkD7PVt8yFtaGkocIDj+SUGAWB5HVsixDCULlwlffqLXe7/da6+l06vs+1WuYJ7nT/pcxBtN4nmcXZZImxK2MSxOlH1GYHI/Hw+GwXC4Xi4UxhlQmYeGr1jlhX9OrHlo2BYt9A9EzYdl1XZRFQN9JJNIblVKHw4ExdnFxAenQti1WSmUXzYfaA1gLCWOMLEksAH5N01AwQ1wzxlDOdV1XFAXnPEmSKIqwKvz2pDQDIpAFznMWoQNzJYFOmeLEqzYN2VimQU4qocfHR6VUGIY0DShPKSUWAmdwzqE5UV6hf2KMqaqq67owDNu2lU3TEKoRgaAA13UJvVjD8Xjc7XZSSohuCk7CLeupkTAP5xCVMIvUSHnTlxMut0P1xFj8eS47ie48z5umubi48H2fJkNYo0Wh6fXw8IC+zXw+D8NQSokCDQ0zGcdx27Z1XUM+431hGBIpwF2A6263831/OBySVCfU2PRkh4+9bNtw9seG2Dl2yND2OLY/yNx4BGXkaDRyXReijkbGFZpb0zQPDw/39/dVVV1dXaVpyjn3PG8wGEBwyqZpNpvNw8PDfr+n2B6Px5PJBAULY6zrurqusyw7Ho/j8TgMQ6IDGyxkHXIpfrRtRMrNWFrhhKROvtgfG6H2dSIpzjlqSFRh9EbOOSQI+j7ky8FgsNvt8jxfrVaHwwGdtul0OplMlFKy67qmaaqqyvMcMdm27d3d3Ww2WywWi8UCtA/12bYtfAKuYVbeJedTj/Y8l50vGLfB1ue2sJ86gSEFlw0xYLwsS1RSxGugJGSPsiy3263v+4PBIAiCH374IYqiw+GA8Zum8X0/jmMMJcMwvLi4iON4sVjgZZvNZrVaffr0qW1b/JZzDiO6ros2EhprrM8pNumeCBaiFbqBc45Ogm2gkzDhZ60Cm7zs6zY9Y3mYNrIVmmpgX3Q/Pn/+vFqtBoOB67pxHDuOs1wuJ5MJhoLKRcQ4jiOVUr7v+74/mUwwg9lslqbpu3fvQDTz+VwplWVZ13XL5RJ2pURD3YOu6/I8R32MvFvXNWYcRVEURaj9yJ8nGc0ONGal569a54R37EDL89wYg6ShnzeqYLibmxswLB6BtIGAoooX2Y0xJqlHDYAgYi8vL9fr9d3dHbJjXdfQV9fX1xgI+Q9DwFLoG93e3lZVFQSB4zhFUTRNk6bpbDa7urqCsD4p/8zzDzvjHfrXTjp0A/2IGxA4jLEoikwvytEzotbaZrMZDodI8zQHfIebed/YrutakmcAKs55URRRFF1fX69Wq81mk2WZEOL+/n4wGHiehzTJ+voYk3BdV0o5Go2qqtpsNsDFYDBgjIECjCXJ6APCQuIzfYkE1xHK0GHAynEn6xvynufBFggijPb4+EjOQ65AaxirK4qCLIvJnIc5ueSpc4q50hSBhfF4PB6P7+7u7u7ukiRBMAMUmDruxCS01kEQoAi6urpCwCNHcEsi2wIXLsKCUQFifggBihTEJujD8zz8CKhi2UopNIlBK3mec87RPOBWiwpfYGXkFliQ+r92LFMKlvQ7yrVY8HA4XCwWf/3118ePH+fzObAAcGEUqv2NMUj5QCaIieZkcwo1RgG3pmmwwiAIwErmefeW91ITboAhsB6YXmu92+0Oh0OWZU3TQHYA4BR6eAUWVdc1pG8cx+QtIjVy3hdT4HeUU1Gholc0Go2SJNntdq7rDgYD7AHY/Rdb71BNQBqHLEJFubGqf5gDWyhBEIDOMGNAA2oV+w1N0+z3++PxWFUVxkFXOMuyz58/39/fH49Hwl2aptSZPUmCcCFo205/KA+oNiKNIg1nhjPNep3OGXeE4axuG+6I4Xh0e3tbHMtXr15FSYzXo/6CpQiZuMj7LSdi0K9yLVIBBZHdtQFz73a7+/t7NJVxJc9zdAWDIAjDMEkSCP84TUZde+EthBBFUaxWKz8MpOc2XcvY01o6rZRWhrNWdfAEbfKAgAELW7gCPk/8x/qaCISKQgEVPW5N0/SptOfa9Bv15BZENWQ7UYPpC1G7Ctd9zwgkQjcQrUK+F0WBkAGU0LXwPG80Gs1ms/F4nCSJEALb/8vlMoqiPM8/fvy42Wzgf6rvRL9rDhHbtm0cx6LvSdd1TQoD7AZjYUXyJH0SzGjSCKskSbque3h4WMwvbCqxyx8iCNoFUkpBXNjVLFEGzETFMa0H4os0Aefcdd0oilAfAjXwhOM4hjNkTCEEqgSQNModWgvmjHpgOBxGUYSm7WazUUodj0chBDozMKKh/o5dpCDm27b1fR/uhXWCIGiaZrVaXS6WNoMQ82HZSD3QXbhi9+Uozk2/twdoQINhQhgqTdMoioAmYzUMsZdCuK7bxnVcZKsgCFD0oB6cz+eIREI6WQfGXa/X9/f3j4+PUkoiNSRrJB9jjDScqz6jQ6UJKVFol1XluK7r+/AeIp9kEebt+z4Mb4wBTCCdwP9N0+BkBSgGsCKbAudIWNQPpsrD9KUjlZGccya4ZoYLbjTrtEI2QOJRStVtq4xhSjVdV7et6TUk9XEA+bqusXHQNM3l5aXjOPP5fLfb7Xa7zWazWCxQfAic36EwYb3o9H2/rmu4SPcNV7SOUBk4jgMlFoYhGQtSlcQOjk90XTebzeBzOzMiK0HLIIrBQXa5z63uT68gv2SiJx7olbcd76xv+0prfwbnCIwxq9UK5w5evXp1eXlpjPE878OHD+v1uizLL+8CKxPg8QV5oaoqgI3CBPPGOkmY4OgRyJvW4zjO8XjcbDaHwwFb/cRrBAr0YcGsdFTFDj1bVX3JemeHGmy70ByIEB0hdN9IX6/X6G0Oh8M0TefzeZqmOPeGvInOBrqoTxx6knHBjoyxPM8PhwOWWtc1Kkx02k/2ITjnONUghAjD0Bjz6dOn29vbruuSJLF3EUgHAO1VVUFkY0BQNevrfntKtnFp/Sf/mr5FTYnCHhMTGA6Hvuuh0TWZTPBUEARQ7WmaTqdTnMSAHJO2MMELwALb7Xa/33uehx1riHQQDZ0+0v1pkjzPHx4e8jxH3r2/v8+ybDabTafT8XjseR7JCmLouq7tgh5VGFmH950QzOqLbjKMc856kAohjNWoJtsZS50jGrD43377bZCkVFSCPVzX3e/39/f38ArI4YvesbHKOYcGRTGJbo5gzBiDEg7R5DgOdcUYY23bZln2zz//MMam02kQBLPZbD6f44Am1Uqm3z5H9sVpCljHWD0wCk8qOwg+vSG+bJwry3YnDqAqB7BF0yeJYuQH13WxBeS6blmWOBMUhqHjOKQGhPXKp3E5558+fcqybDKZYDsYD+d5Ph6Pj8cj+kOmLyCgZYUQo9FosVgsl8sXL15cX19Pp1N0EqgiIwcYY47Ho1IKWgGF6IldTvjFDrTzz8kqTH9MAAiFynUcB2cCIakwf+jeLMuyLPN9P4oiMusX3qFLSH7//POPlPLi4mIwGNze3j4+PtZ1fTweEWW2oGzb1vO8NE1fvHjBGEOji6YIOXNSdpm+Tae1RvpjjKEdYXOzLeqJfWxuts1n2/EZVXOO9kWe56ghjDFoctLGYVmWUD2oK1H6MXQwCPMQclVV/f777zjOiaIcBQQpdCpnlXVWDEYhwrZPZxJYeL+7RucoEPzADm1vEH3Y6/yybM4Ajy+AMob1J32QCiEyIBpYLwg2mw2an5AREPGY2Ha7LYpiNptdXFxgJp7nPel4OoO23+/LsizLcrPZSCmn0yn2bSBnyrJEF4Y2v068RLKdivUTOqMF48Dx4+MjhDhSPmzNraLkhE3s19m3UdDhpZgt749mS8cBFna73X6/n0wmdE4S8grKQyl1dXUF89lveaoeHx8f1+v1hw8f3r9/73neZDKZzWZADUCOo3pgUBQBZAhMiw4wEF8y6yAXNTFQjgI4KFaQquxdlPOPzTtfLgphrF0g1nceEKeoYHAnbUwRsaLEcRzncDis12vO+Ww2w7lELPBpdQC8lDKKojiO0zT98ccfr6+vqZBFvIB00cQn0uF9KwcoQAKy6wzeH74kogVT0kEORCKVC5S2TgLqBD7Mkjk22dPEfN8H3Yj+/EIcx5vNpqoqehey8MPDA3RzkiRYiNP/iYIx5mkIdIxwEEj0dbbpj38OBgNsADmOo4xWRjPB0ToxTyzJW9UJIbgjmDEaPTfOGGPaGEcILoRWSmlljFFGt6rTzCSD1HFl1dRCCPSYsHpmmGCcW7LYGGM4M8zgFs2YYUxYAQiMwAfUIaAEorUejUa///570zQmjmmzYLvfrbcb1/cms2mcJnXbCOl4nvf4+CiYY7SWdCIMjVtoxOPxCNEdx/F4PJ7P567r4nABMiU5jaZid7wICKxPUqh0CD6o0bC3T7XCCaGcpvOzPEX8AiugfQFawa/QY4CPR6NR0zRlWY7HY/RGUCoWRTEYDC4vLz3PK4rCbvEwxiTiE1IV6TxJEmiktm1xPvD169fYfsd1QjWJdNUfLz8hS1v7wo7Y/8myDGGPEKAC9WScr7IvCJPCik7CIu1GUYTDpDAKbbcNh8PZbLbZbK6uro7HI5jo77//9jzvp59+wp+inHjxSe+YvtMOsz0+PoKPwSxBEKj+hI7sT2jy5xvkxiqFmJXICEq87xkzxqIomkwmUsrhcIjmBvCLFX5LB57TENmO+vCTyaRtW+wUKev4H7oOV1dXq9Xq/fv3b9684Zzf3d0ZY16+fJmmT7UFtcAdOkBHCxPPzyaKvh1l0PFxHMa5AiMK8fSdc401C0EHDZ/+Z4xyPudcW8fRueO8fvOGc+77PgS/0dowhlD8Chk/P69qGHOEgB6hvocxxvd9lN2QVHVdR1HE0Uioa875i5cvP93evv3jjzCOm6Z59+7dZDIZjsfJYOC4btX3yZQxyhhHiE5ree4Zbm0DsW+kj28llK9+7BFE/ycRtPOnreMc5+Fpz4o/31zHh/40COamMyjQULo//oCU+vPPP7979+7t27eoGefzOXpPCBTz/PAVPz/NbUsMZqUM++K5jc5/dTKmbSPkQdM3sIkFeX+u5XvMTXFNV2h3hMzBnpcjQRC8fPkSfxcohJhOp3SAgvUCTVgtOsbY/wNI5ovIzPA3KQAAAABJRU5ErkJggg=="
x = 1 - \sqrt { 5 }
"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"
\beta _ { - } ^ { \mathrm { ( T E ) } } ( \lambda )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiElEQVR4nNWTyxGDQAxDRUqhBajJlEDXUMLjEGbBDrO6ZQafbEvr/w6oLx+D/4+wz0sFlnn/KgCsUpAkpBUANTsKftr68RRLD76k6+FVinYRmj9nuxFOpNR7JxBS1H4SgZDqRDKBURrpEFwEV4Prws3BTdLtwm3T3YO9qG0qOMS0ATC852d15ADl5QwLsn3RegAAAABJRU5ErkJggg=="
\times
"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"
\boldsymbol { \mathbf { \ell } } _ { L } \cdot \vec { F } ^ { - 1 } = \mathrm { ~ c ~ o ~ n ~ s ~ t ~ a ~ n ~ t ~ }
"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"
\delta _ { 5 } V _ { R } = - \frac { \bar { \alpha } } { 2 4 \pi } ( \frac { m _ { H } ^ { 2 } } { m _ { Z } ^ { 2 } } ) \frac { c ^ { 2 } - s ^ { 2 } } { s ^ { 2 } c ^ { 2 } } \times 0 . 9 7 3 = - 0 . 0 0 3 2 ~ ~ .
"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"
n = 4 5
"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"
( 1 + i \Delta ) A _ { h } - i | A _ { h } | ^ { 2 } A _ { h } - S = 0 .
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEMUlEQVR4nO2Z25mcOBCFf++3CWhDkENQCkwIbAg4BE0IPSHQIUAIEAKEACFACOUHLq0LPZ5248He5TyhW6mOVFUqiS/Cn42/jlbgWZwEjsZJ4GicBI7GSeBonASOxj0Cbd3+0nnHeny/uf+goL83Bpd12wOoJEnVw6p9AP1bOYJO7bb0a10CpFmy1vh0dOYUJMBgFWibV7k1QDaEHZ5HDnaQLkU1G62NIS1EOgt2ruoChtbpHhJoNKh8LlQGVLG3/hYuIiKSQcygU2TTV7FqagMC7qgv/n3g+jpiCr0Ux5cW8ow9Uf5LUk3Sv46qC63opV7rvl3pNMA/o1mtibpVgzvAo9+Av6+DBnLZE/om0LKs9ooOkuU7n7cg9zTQ/hiPwKBZtndBBajuWaUd5M6iNUAXNa8Eqvk7cW2+Ac+oPQIWUMGEhniZnoFxNBTlO+Skgl6+K0hFRFK/g6+hew6MVyA0+BS4vhuzH0LfgllLBkq/3UBfz99L18LtUJJ6A1wC5YgrfZUYzfIEamCNEZiJUTDd67j29ZUF2p7Eq3AJ9EDQPJf3O5VbXAKxbJ1AOzG41uR+V6BEBaQcc0qC8gRwrfZZJLhhvCJygk4BphPJb+eRAx065GcT0N4U1YbsRgHqYkk2gl8Yg/YjcM9k7Ea/9wlMDOKRIiJiIwVdH1AwO4KDfm35LJhKA7y9bbSFMcjPRjVAHcTRdm15F6HvezIfhDY9wGubhwsXxSC8HWkgPrQy2Mq5fhb+lNsmpFVxAcCEqbCFsMozKQ0ov8egtub4eagfEmgUlUhjAEzQpkmDGp9AAaHzWIDKrXkuMUpwF7GKt7xRswY2VqbZSCx9p47spVOBlFxvRocPI/PWo4h0FL3aQB7Zw4YFhReaDNC3TkOQyuX6Tnj7MC4eAUsY191sNA1bNyxInCjUakWu3ui/FrOr19961GUNS3V9P56+3KlPg6CWAO0aSUbC+NU72VheQuuEza0Y5HpUUomIdJlaFj0DZQcRkWpZleLeDtwjFvVW7paayE8Td0jij7fR7UH8g2wK+XlXzAlWqYvhomDKIYE9TrTMkTa2Ufqu7xagxGwcKw55vfCba1drrNT69awPSMdtHfOblw5z6Li4cTXxfKAJb4uTkuJ292k55f0IiPNckqwq5WqewuUn2rt9bVrQAQQGsyiyXBllOt8ui5pL5cUPQjo6144hIIPBdCLSqFuuAKvgDNJh1t89trYt6B6B5hcSkMGiMpuibqKs8/ZRaEhspkm8DGDbgsKHrR+hfsFeHhqxibHswbiZcdmntwjT1iPoJLh6jpsp78bj7idARY99XppvwpcFiF8bZvxn/w/8MTgJHI2TwNF4kMB+r7x74UEC+73y7oVHTuL+WrdAqpN7r0AH4MFU4vfD/82Jfz+cBI7GSeBonASOxkngaPzxBL4DRx0nlJyUU44AAAAASUVORK5CYII="
\Omega _ { 1 } = 0 . 8 7
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABzklEQVR4nO2W0ZGzIBSFv93ZBmjBFtgSaCF/CbRASjAlaAnZErSEWIKUoCWcfSCiRmcy5p99y3kRLnIPl3NAP8Tf4vOP878JnuPr/qwjAOU8kiKFP5As1quucwBKaE4ANJrQAJhw0wGUa74gSV+Z7bszIzGPXgAae2D9MO7EZg0Mnpngpw3gjuWnM9UwVXMzpxJmDWC0ZkFwdsDB/LRVVmz8Z6rUyhuIb8Dm3bw5uB4RQBpOc9tyVy8TNIQh8w3Gq4BDCq/gk8JLgopGTDmD6bWs7igqiqmZNYhYXEu0QLyEogX3uMcxPkYwezrFM1XuTEzOSP7uXW8GleAfFxa2udxeAW4RzhV0FkyycltXhhGK577ZRd2yWMqdqCdITVqRKyS55bE+hMEs68pXBZXUA9KVRhIw7E1/jrDyNzl6S1l7FU5Sz2yEYxjMauZ0VUQs4CCeYwV0L0twGTktupPI0QIYaGtfJIKtAeufTciWm5fW/p4IOg9QQJ2+CXGPILbPC6jHXYIOA2BhDCYFdrZoc/J2Xtoc0EnjIEk3KAYljelfkhjyNSRpctHVYAdJgkqSegv4V2x6BcoNQaolSLJ27r900sLjtI/3n92b4L/xCyHtuujwYVbUAAAAAElFTkSuQmCC"
M = 7
"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"
\Lambda ( z ^ { 0 } - T ) = \Lambda [ | \underline { z } | ( 1 / v _ { h } - 1 ) ]
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAWElEQVR4nGP8z4AfMBGQH1UwUAryGBgYGBgYcSrY7snAwMDAkItTwW1Phtt5DAwqOBUIMTDc8cTnhlMMbxsYGCapoqj4jwRyhVS2MahEIwv9ZxxNckNHAQB7JiWMeLIYKQAAAABJRU5ErkJggg=="
\omega
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KKo3QGAP/DSmKxRKAHjT8cRSyowQ2WiJpJBY/cIFDabVTXyArKHSLv4IeSK5k788XFyZ7G/hjKJZK3AeMWSgKjy0sHKusWGMrbKIC23I+g82pjDSJD1FJzITHJUz5ALWCpU2n08lkgqRFgRfiyOPx+Pr6mimPoiDP02aziVV/eHi4vb0FscEBKLquLIYsP4J7g8Hg9PS00+ngDNYS8tYY02w2sSqwMdgn0B1aA1cVbTpyHIID4hCk1g94k6Yp7auClXDHUViVI1eqW6jwUlIYrD/sfnVP18tLy19l/GVJW8Rar/TKGmlOoR9LikfIE7QIMvshFvHNCEcwxoTKpCzzJn2joDs8JshVFm5iVPqHpPdoCVk4ysu3e4jb/ap5pWYHmkkZY+w+McshvjdmTtM0CIIoDJGRIsajCDazr0aFx1GkfMAfAB6zWq0Wi4Xx1uZkMpEQbpZlr1+/dpwRuSgK4Dao1Wrr9frNmzdI6YrjGMlxURThKwgbAjxJEjjrW60W0tzcfkhNY7zATmNG5fiZP4o25NBYVbhLsP+J6VgbhmFZvSwAfX88RZdS4RWHHiVIA54lOKEHZq2t2VBLV1KyTlJhNY8LgsCV4n2mpOcLzMXBoR34Zt87qglD3nXIz6+HindoXUyAI9MvkDF7tRPeWlFB5XwByEfWxSh6q7ySvamsn6bHiW9ciiRp8haWRIV0oMP64CcTLfzatVojigKkgCN6HgTBzc1Nmm4ajdpgMGq1WtPpJAxD5jzPdwmPMDtRJAF1V2wYZJPUajXQNtiBc67ZbJ6cnIxGI2TPsU/LFA8eTGip58C0Yb1Uj18ZeR8kDyrRdmGxtRgxxuTMQRCwqaDwyqMgJcrPr3pC0UaqRFzR3mP7lPNcmIK88QmbA3yoGKroOJWAkqUs2Cl6Urg38NVXhanxfqqtXBZUjZmqnNXVM1LApP1UHPKRpIrZ+rsK1MjMeb7naBSu5FS+hAzDOUcllV5+3W63SZIA4Y2kSSmOLKMtUO8nEy1SjgHfzWaTJEm71en1euv1ZjKZRFHU6/U+++zzTqfz9u3bwaBPRETu6upqPB6zD45DK2Cv5cIxgEhgnudhGC6Xy/v7e7jsu91ur9dbr9daQSLP5yRmq88fkbT0KfMt45Y+z0oV3yGuMcYYRxVGrNn3AFHJz3ToXYWDuUjJmmjxec/ezndYJRjDXvVi5Q7Y0Uxg8zyHpC3QW2HkelKaSAQsx2F4iNi4ZC+YfaublVJaEGtlOMiNlcEFaAdHQF0etl6yMmPSRC7Xi4tA83d83Ww2i8UCGcvW2jRJgiCQJFgNbcFnnA8/5PEuzyQkojC0zrn1em2M6ff7URQ9Pk6Q1ndxcfHixQsUEF5cnDGzc5kx5s2bN8aYdrv94sULFD1gcEg0k6oUVF2Ox+PlcolyJwkRIUZnvDrhfI5OQSjpVa+awCcYtIeeI2tmvKtz9xXEUPVmzeD1Z2PYe50NHux/rRznXsGdxhth9oKgxpsMQE2MU9xm7M0q8QhYa1OHPKE9FNECRPMF+RxFkeCZlLCUMXh3o1osocMdLoYhexeO8eauJSLY5bs8PU2lZIxOe94B0NodpXtu4hDMUpyCjWFg/iG6Bbvwf62/y4iiU0m6+rMSj45IEm8NM0VRlGXb6XQ8Ho/TtNfrdfr9/nq9JHpKN9DQKxB8aExA5IjsR/4FIKIoms1my+UyjuN6vZ7n+XK5BJSHw2G/32fm8/Pz4XCQpmkY2slkgrRSY0y324WrQHg88kjA+ZbL5du3b29vb40xnU6n1+vFcSzxFQGT2DkyGS06dLy0ajH+0oP3D3myIcq5bBIeO4wR2LL665hNFfzZh2WK1o5Mv0DPqXMBPVGyOH61MQZgpmmasQuCgD3GF2ZXeCN50nK+oE+LtUL2tdzIUJf2H0LewBaQWp+DYZgNE5FlzhEPJrLGsOAtc05kiXIiOH12MDTGGRMYQ4AkrlfYnlsbMufWhoew3Rj2OL+7y1p2+8JWtHSZptlXksnzdrAgY9g5YuY0zcfj8dXVzWq1urh4lqZpFNVsGG6zrBKrtUwKDVkyhth85F82xpHN2ayS7Xy5iuO42WlnWfbu+sqEAZsgqjWiWg25KatNwlleq7Vg9EIZiKKo0+mgvgkLI3EzItput5PJBPp9p9OBGMcFrMJfgjEFxk+edx4izmqL7bBD4rjN84R2ZpfIW+a4x9/lRcRueeWRhfP+V3YFh5D/YUdUUjkNsZ/n5BhPgxCDG0LydYkoDEMUlBtjgjAoqMcyC1uKzO0+EG22W1GUwjCMdplAezQvRyFAsmetGGOVdg30oF29mpezTMZYYw0ZS2SfzhORsfDsWmN3ADDWEbEhR5YY/NEYExABnwkpvkS4fu+vMSB+Y0yAd+H1lvc0/4LiXRCPxhhnDKNyzgTGWMfOEeds5svV/ePkpzdvL9LzVbIZ2DBzW5vtwMgqU01iWrIWIbMh4MfH/c04j6Ioz/M0zZCQHcfx1dXVbDaDLEVCMnrKLBapy3aXwQXVbrezLMPX3DdnAPuHCxopUJC9SBkVbGAVDBDnkySRafe9VG9UUYyp1DwPEe2h84d+0hyx/LWE9F5rYkuG2RkybMiSceyIDBOb4t8PjQFLvoNJluVpFpCB6MuyDOUv2+0u2xQMFEqNMWabprs8fq+z0L700F+FRSIsv9lsmHk4HNbrdXhuhWg1I9O8DAxXzhiIxQIlMP6gRFI0ETImYM4FzDjjZaPWVnZTkc9Qd718ZqXpFDTKoCR1DVFu9qvKDuHG/nIbP1phBHa93iwWyyxzy+UqzznPHYK+Ls8EGiLV9BkiCjNHBDT+uL+bzabT6Wy32/V6s9mkzSYT2VevXmep63VPfv7zn//zP//zV1991Wg0ttttGIYcGmdss9OlIFxv0yTNlsnGRrEzScZ5YG0QRpxlWe5c7iigZLNNHW+ynG3Q7vXrrXbqmHMXxzExk3FkHDE7MF3HNggpCHKXpo4Nu53WHVm2lQB1dJAIqxfA2zMVhKGfxE9O18Jzdl+then7hLi435qQiAioYzyzZ9rhIs74v8xk7Z4PpvAirzwTs2PmPHXsyBHnebZcLufz+c3NzWw2QywdUcFGo3F2doaeSQGZNMuIjMtzY8ga67XfXfokaJCZiC0zsTHbLN1s0tls8fj46JxrtTqtVseYAO5qb0nuojvOMVvoJAIsExhlABuCSUpETMblOxnKzpCxxJaIiS0zszNMhtga1MSYHeMjtkzuSTe0hLsMCI8tExgi7rLE1t+795ed0i6xMmyYDCmiZc2PCP4J9mXbmL23iinYPZnYGhsEwfXV7XQ6Pz+7jOJgNDxzjqwJsywzJgjUK8LAsi2GGEIiPOvj/1pjgs0mRfOner2eJEmaprVa7eLi4vT09PPPP//Hf/zHv//7v3/+/PmbN2+arTozo/6YfIEBKTN9j9ESzWYzBHva7fZoNGq1WovFAsaz8QFhSSiFiDa+Q0Kz2XTOIQoFj0jpsN6r8Vc4tPwhUaT3mYWIGj1fOe+H9PRBtFFjmAjxjqe/xoRs9sZfEN14vsRIszxzWW6Ncc6tVqvxeHxzc5NlWb1edz599/b2Fn1YkMoiNptO1q2crPGJO+v1+v7+Ht1nzs/PRTkSq09MmzzPTbgTHXvovq8yGK9aO2bDdqde7Lo1BPjMXuQSW2OIGFRhdr96emFnvIm7q3DDGUMfwHPm3TXwyuEuZh+D2od/QRnZu8BBUSdDAdPOxxfYKM/zPOMgCOq1prU2z5iZAxtlLi2AXdspXj3+RL9MFNeznJnsOtmuk220XN8/jIMwJpsNT0eD0fCrn339X//rf/3s85efff6SrNmmeRiGQRj3+oMgjB2bZJPmjnJHZAIyNneU52yDyAYBmeBxPH14nDg2J4NRt3dig2ixXKNywPgOWo1GAwowVGiQaK1WMzbMs+062aaZK5f+ERGROyBQDx6uqtSGjNQ6GqK9z+VDa0olii06HuX8oUydnMkRCTsnFRN2zoG9585zBzbMhmzARMtVcv8wvn8Yd7vdwfAU12+32+vr6+vr69//v39sd3rffvstM4VhxGzyPHWOjCE4ToKgYNMaIsNswjCeL9fXt/f3j5NWq5WzydzOurfGkjE5EzuMMLBhAHMXTnP4AgrM1RhDu2gl3C07StyjCkNSPbMrO92HPR6+7zTzEMaHqrBcYRxc+EBExmAqhWuZGMaM/4wZ7KQuEZHdlQQQWJA1mcvJmjTPzi7Oo1qcpmmy2URRZIz1Gkqg1KmnxCr6MwoGYG9ApqHX3t3d3Wq1ajQaiL4OBoPBYPC73/3uyy+/HA6Hq9UKwQZUTuMuGLSSEcG+TCTPc7TzIaJOp4MyvdVqdX9/D4cnMyMNA+WUaZrW63XQbbvdFtkLh3bV8HcW48fPt7C0BeuufEHFKxUbrmTGhXcVjOHC6Cl/GkbBINS24k7YqgvSNF2tVmmatlqtFy9edLtd+KVOTk6yLLu7u/v+++87nc6zZ8/gPiioKoVZMIJthowxaJu2WCyQfy4ZUSL2IbSlK6V+JnOReOQV1lo2wh0rHNe0z/IKQy2cLIfuP3L5Dj2wMIZDK1sOSerxoMEYWuSQymCRNS044ZV6/ClHmqbIZ0CpHSI0WZZdXl7GcYwCrl/96lf/8A//8M///M//+T//51qtBnSx1uJG9AERN5LxoXnEjSaTyXw+r9frw+EQ7Q7gjkqSBFngyOiQmB57pwtaE9RqtbOzs2azOZ/PgTESmawMHv4lx/FHFcj7EIpU4tzxh2vJrClWXHr67dYGgDkaYqL0vN1uDwYDEG273c7z/L//9//+xz/+sd/v9/v9VqvFzNKSAnXqmILkPMK9H0ShMQYN/fI8b7VaRIRUViKCjxrGc6PRQCCQISSJmdmSKfhFC3PkJxd6UT8/AqVDZKzpgZWn7YPHobWQ8cgzy5wF+FnQp6RrgnNuMBjgp0Iz8EqOhmd+MtFK+2l8SNMUhDEajRDIaTabz58/Pz8/f/v27Xfffffy5UuMoNls4pb1ei2dgTBu5CSuVquHhwcg1unpKYjWGNPv951vuou+uyJVoOAhs2S1Wk0mE6RAr9fr4XAoFRikhMOnzrd8HGGr+igIZPl7RJCWby+8iA1Za4/oCUK98vyQTJIkk8nk8fFxsVgkSYLiNVxWq9Varda33357e3v7m9/85tWrV6enp7Vard1uw4cP9orHgmI3/mBmGwbIOUXIgIiEq259HAhBJrQ7RWGJLJ9ReeAHAcJFIf9XZLv00at5/NDUq7lJebnlK6RInueIpDjnAHCAQh5SmC9+/WSiBSGhXQg6cRNRt9vtdrv1eh0treI4/ru/+7v/8l/+y29/+9uzszNjDLIRnXNCeFB9ddx1s9mgOjfP836/f3JyYoyBAoxeBFmWbTYb8G+tZc1ms+l0CnS5u7t7eHhYrVb/6T/9J6P66AmR/6+kW7mYDnTAMTt/bMVRGbLifWo3JV1dFvsJV3KX5/l0On14eEDnRGMMWvJHUTSdTtvt9tnZ2bNnz77//vvr6+vvv//+7Oys1+vp1JdarUZE4NFICwehbrP09PTU+b7kSZI8Pj7OZjMsEwqbdz3Krd1sNih7Jhir5ql15jF4lrD2o4Be8Rgu88G/nFwLj6p8oKY9VillgKcorYDVoaGSmvtBoj2io+d5DgNVGuScnp6GYQijZblcOue+/vrrZ8+evX///tWrVy9fvrR+gwwiWiwW5JmNLBjU3clkAp7darXQU0bKl/FGVDZrojXGdLvd8/PzPM+TJInj+M2bN7e3t4vFAu0gpV6ZiEq1okWIfJII/fOOAlcuqFiVb9E/aQ2sjH/lsUEnms/ncNqjqUitVkuSBJY/ouij0Wg0Gn333XdXV1dv3rxB8zRSRTyiziVJMp1OwXmT7SZN0/F4DJUHeW+werbbbRRFoFJpwsbMRsVvZYSHEvfhLy4ffzbparlXHsanPkeO8iIeUqnMk9mCwptdIzsxFQ/JWHkmHymCP4SaWMJms4lHwODp9XqIzuPdoORf/epX8/n8n/7pn9DuHSEZGK5IWiYi7NqCiJFz7vb21lqLzrRAL0BWqJdUDyGMxzkHSk7TFO32rLUIYyAVW+wxUlVplcug2SEpqVU4c5xojzC7Apbgc8FBUtCjKp9ffsER/IOjYTabIQUNuShorr3ZbNrtNvTYZ8+ewaKZzWb/9m//hq8o2EANJnaggZ4FJttoNNqm8/DwcH9/b62t1+vQmbFY0nsIWwEMh8OdbsxEamcZPlzdYQ/DofLk8XUx6tBA+zPotlKZLygLlXxBH6hIbzQaKHrBjkS6c/qhcR5Tjw9NAEwalGaMieO43W5fXFyMRiP0PYWZBKvyl7/85X/7b//t+++/Pz8/h8q0Wq1evHiB/mziGWPmNE0Xi8VsNjPGYOMG4434XO3dUClJJFceXig4SKGbGWPy0tYPhyZbqW0as+cypX1iLh+HFKQy8Zevr+SvH3MY1Qi6gD0SjxV3LmiPmaGYbLdb9FJC/eN0Or29vcUuVWhcJqsAyXlycgLAxnFsAhvH8dv371Fi1m63+/0+HMjWNyiXjT8EAtYX8Qk6/lXMlo+3WQr0QJ9CruWTH2TllaSL/BbpZQnBWxAqh2Z0sHPFoSOOQ+bIuazRqPV6nV6vMxqNnj27aDabKIhHFhu8Uz/72c9+85vf/P73v//yyy/h9pjNZp1OJ89zFMRDiQebQa/GOI5PTk6wkRF+xQyhPxcoh1TvTKlWGY1G2OIFJr4Y3sxcmd50ZMEOUSx9iK8XjsJDKtUe2ucRn3RUjgqvy5gkHcX4agpxLznnpKvo5eXlZ599Bnb87t27L7744uTkBE57QBL0Br1px4asgZ51f3/PzCh+RmNkGGmQJJid1pWEPRmfbPyXexo+qAGJbNdy/uOfXzBSDn0ovLS8poLGURQheAnXoPRCqXyIPrMLEpSPQ0OXLh6j0ejZs2eDwWA4HEqjSiJCJupqtcLi/fznP5/P57/5zW+m0yk0Aecc9GTjo3kIusK3GYYhusjjpPG1b2LHFswS4/v0wKxK0xQWFKQB+e5b+PyRbYGoihl/5MFVR/l85Y30EbygzGLY20gaF+WA0CNPsfIQUWHgC8jzvNPp/OxnP+v3++g6MplM8DRRZHTEFboSugVBSiRJgmAPTGWcwaYT8FlCpAO7EAqSnjJ/Fe/gB49K+Bd05j/jaYfoRdNz+b1oq4a+2SBaaXhG+2hQHttBSXuIbp1zcRwYE5yenjtHURR1u70sc0mygF6ExRBx/7d/+7e//e1vf//73zcaDfgqgQ3Wd8FGt4rNZoNYrvPdnuBV49LmnFSSe8CkQG1yJV1nRS00PufuoxZkP0qm3/VJBFx+oHwW8DJXJwl8UP1m5eooPLxwjdAeESF4ttlsZJdKCZJHUfTs2bPRaIQcqfv7+88//9z4JhLONzGUkTvncnZw6UPfns/nd3d3QRAgRhAEgeRaYJdT8FPoQcixAfFTKbl0x44NKlWIPqT9lnFdzjvVeFlaOhKRtWGe59YWM1UKyKbBq/NGSFFjeWx6PJIjIPNCJh+89M63j5UP5XUsHMeItgAIMTKJKE3TRqMxHA6hhcLd75xDExkBDWL3v/jFL/7xH/8RO/AaY2azGfgKnFgY7mq1AhtG5AYyGS+Sl+oVlVHlqml9oQOgVI3Ch8zMlbnHsjbl9aZ9PPgYij0kRTUqPCkLjES9p9d98HD7pm8lKhfOiL8d6IIIGVyJYuiCqmu1WqfTQWrKZDJBn008EO5iWQv8zbJsMput12vEEay1k8nEWovGBmC+EObYchaqOFrMS8CfqniWmuxHtS3QJHHkPO9XEVm7w4eyVDjOQ+Uy7UqQn7S+U7iMffLf6empMQbbrLv9Fl8fPMJDJduuXMzNxMzJdpcIJcWZObtVsrbWbrM0c3mr1QqCXVOoMAyzzP3yl3/79u373/3ud0EQ5Tk7R1nmmI21oXPEbJyjxWK1WKyIbJq51XqzWm/CqEYmyF1OOaPOE8AhIiYruaMm4Jxdnu1K6nfVZERsKM2z3OXWWrIGxS67KVVuCIgsc5+iSk+Sdm+nLPoQ6bKrpj3fT8GhAYm1hoxhdjkT0S5quVt4INZhGq4cTAHPNFOTPiFElGXZw8PD1dUV+QJrEQKIsUVxPa413Gzx9t3V23dXJycnIFQQLZxYWc6tViuMQoTWUTdyfn6O+BA2YdMlk5vNBuIdX9HbADJNosFHoLqrAiDVw7kEmx3zssaV6ZYI55kY1Y/GGEfMec5EzLv62yeqo10u8dPLnvKcDTM5NoxaAmKGa81YftotifGZBY2YrBFJS4ZM7qh/MgzCuNVqZTkzk7Ehk0XTk6Ps2xB577EGmZh/wolxHiLx/v5+s9k8PDwgLQa77IRheHJyAoWWfJgBD1mv191u95e//OXvfvc72Nz1eh2eZ+hm+CC2OII94lsS3azAvWTMgd8kglXdsKglwtjkTCGb4YgWekhmliFWAmvFoaXK/t8nSSvC88iyHRmVho8pZf+yt/+xWxKcC86no0G1wQLBC3B/f49m8UQEhRY/IagWRVEURfP5fD6fr9frZrN5enqKhvVwKEAZxusQz1uv13d3d/V6/cWLF+12m7y2eRz4pvSTgOsQWLikr2oFWICTZzvcoP3SfDEo9PPldQCarJFA+IikLc8O+ila8AveyhrJIMv34gglI1dfaryjwqlEVlg12DZ6PB7PZjNsYIn1Q+oSZK9sQJrneT1uZFl2enr6/Plz9HZDdvFoNILZE6he0nEcI3/aqGYUQBdU3ueqixqAYtxTOwsxDGQuYrCJSHnq7XCUMOSo8jcXsWT/qND3mBmSp7C0xuwlxGuMrPSZHWcl8qsIz4LeZYyB32ixWKBSSiCDgUF7QrRstVq9f/+eiKIoQggNe4ITEYwgCO3VagXf/nA4RD4zcmzwECJCUof1LYrE0SCZ0gUc1XMx+1vgFFh2QbUuMCyBJD7YUucNuV5/KFsx8hxcpjP49e2FhFkhmcLYZF2k4Zlc41T3lfIA9BHKgPT4SHVOI9orE8PCowsMdGAIVRil0+kUTsVmswnX4qA/RDOKXq83nU6ttdPp9M2bN2dnZ7PZDCEBvAWMWbYthYmr4SJWENACqJlmu93lNXEGal8J3m9OW55pAVfkdVj4wO4h0wcPs29wyo0CQ6vaiBARmb0+krLkBSlUfnuZL1SSNDNDNxbnXBAEsGlHo1G73YbeG/i9VFrtLkqa4VVqtVq9Xg/JFTBc4VtiZqRAzedzIqrX6/1+/9mzZ24/yw3JFZDhzAxJS2pbjfIsygCsnKBG2sKsC3Aw3g/HSgbK2zWxlZ9WENFyo5zRvEDfWKDSwkQOOYwKbIKqDmYOUb3FpDoCEhlj4HXduT2AQ0SWqNXptHyWAqKg8BtlWZYkyWq1Stfr6XyOBW7UapPHaWCj09NTl1MtbjSbzUa9dXf78P7d9WKxEEKdTRfEthbXsszNV+u7x3EYzo0/MFap6anVapDkYGcmCAwRw29hrQ1DGwTAVLRJYMaun8j01QaMEf1LoMfMRJBUaFlSJOZKUO4fwuPw8B1089wRsfdAeqYQWQCZjO/LaAwZ49SYZLVoX/fjKk1MPhvvokeXAliPxhjU4kAzuri4gIcC54MgCKPaJsvHs/lqs10mGxNGw7NzYww2TALYwzA0YbRdJ/PVcjKZEBHCe2DBUifAPmcO4r3Vag0GA7ByGa22aQtIj6XPNfz3sbSMzeXVMUQMM8Ern+T3BAnCkJ1z9ER1xhijHmx82bR5krRkgpCsZXRgZTbGsn0S7HvjoSenEHtvGqMxJBPpbUFy0LDBJHcMS9lNAhCcKfY9FjqxpTZz+HB5eWl9fybYonAqIhAHryPUZiJK83wynsH0tdY2m83Ly8soipIkef/+PajdGNNut+fzeZZltUYdOXeIzWikDPwGQmEY1mq1er0ex7G11Gw24zgUlUyc26ItB6o79q7biYKFXvIy3ImIeFd/W+Cdh6l3rwSMPGdFrJKIZJfXPM/ZkEuZ9+VqWSMojLCSYgtvxAc8FiFTJJmggJOZpd6j0+mgcVer1ao16oGtndzcQq5iX9IXL14YYxCZw4tAaZvNZjwebzappBaTV7AxAIknYfVrtRoqtyB7M992kA5VR3hCKgPclGzO6pVQmZKZ2ooWWBeGxhiT506zuUA1hSxEj9lXegK1JINIGEF5/Npw08vnfNzbeKsE75L0z7KiobWSsPCbEG2gNpvQygC89uT1ZPgemBlmLYQtUAQ0s1lsx+MxsuQ6nc4XX3zRbDaRYwyzeTabrVYrYE+n10URz3q9hvTGqGADSAgHxAl/fafTieMQDc3hxELdHwSCIDRYjLXo5VVkXQUeL1jiOwDvyTF9TflgfvICSOIRsk2EhLANShRFZI1zLldvdGpfMsEGrY8VMFhTOJd2jgUq6EK5Vqt1dnZWq9Wur6//8Ic/bLfbb7/9djAYSCAgCnf2BdKM0bhPBKb4kIlotVphUkiG0dA2++3LBUdPT0+t33JJVrY8qTJ4C2DPq/bgqVwU53s+I08Wmp2vQokFtyUAK7OTe8tIImYa5oWQZ2G+8kAtAsWJxSpzU3OHwLeFEPtOZBUCaUCM8BDT0tggItf5nBjNCTQcpX/Fk0mcmtFohFcmSTIYDLrdLgpNkI08m83iOA6CoN/vtzrtzWZjo90GSs4nJ8KHCTJm7w5NkiRNN7PZzFpCQ6nz83MY2+i6Ks24WTkGgiozg0o0vE+lRXdFGVyF5+hrwGtms5lnNCRmf1SLNYTNftKSrCjvh/IOj7PigN/B+ARvuAlfvnxpjJnP569evZLyrM1mw9tNYLNGozEYDKbTKervsPES5Kf4WsF94PBHAzDrs1kwZtmuRURc4BsGkfeU4tC0USDOgsEpf7WY0pA/BARjzGazgfkN7h/HcauVhmEIESD7yABvxZksQkveBQ+O9sxDrZMBCKbpkcsSFC6Tr7Ks8lickQC7tBxmVPmUJS35TRNYtZ+2vkOXvkwOLfHh8d8tVS1EJwRjDBqat1ot5Kbixl6vB8nZ6XQarSYzU2CBXsaXDaFdBrCfmaGWr9frzWa9XC7X6+Xj4+Pd3d319fXnn3/+8uVL+E4gqIugr6JYKrF5OcoY80H8EMSS9QMLB0glmxfztdZa3zt2Zy56+IuyQ556K+VSGXH3EGJ/K7okSYhoOByi8OO777774x//GMfxF1980Wg0cnbEIbKLMWCYNnApSbWnCPDlcomqAAhhRO9J7W2T+z1fAl9JLwlzYs1qmVNAYlYmgF6mMmfUECgwNbwXIQ84wJk5CIJms91oNKKoht0wdtug7+/Ko18qUlQEJgoqEATR1xfGTIp09dppwnYqjCS8WyQlis+N94o/2bSFDwJ9EQJU7jStBoRUYSm9dz5FEYaTsFhphoAkYUkwxvrVmw3nXE4cBAHamsNURsBAGwawnbJsmyTJarW4vb3905/+9Pr1awQYkJ2DlAChHFRyU/bUO0roqoDuBeyR5mll7KlCGqdRRx4LrziU/9VqNZvNJpNJVItrtZoNw5o/xPGOG5EhiHzD3DcELzNZzWU0zhmfmM0+fAJ/YZZl/X7/F7/4hXPuhx9+ePXqVafTOTs7Y2JiRll8FEXj8Xg8Hm+3216vJ/3NhR3L0qC04/b2FhlU0ooBHNap6ItRwXm7nyxdAKPGujLK6a9c4sKV9IxXr1Yr+XU+X8Zx3Gi0Wq1Wu93udDoIZYnk1OghS1mr1ZbL5XQ6dc5JbgJy6cvoYVVVGe9nPYgEEnrhfV2dvUJBRK1WC2U2oKZQxncIakLuGJMtbeWEw/m0wcCn7++WJ3iytSBGsNLsQ15O5eXsCkF8c+DAl+9pdUVwMYoionqn08nzPopLvvvuu7u7O0z1V7/6VbvdFh8m2Pl2u40OBV4VrGmfJgsUq/+WD+cxW/P7MAxRGeOcazQay+US1REoLXZEELPwESDgCR+vjFxgq8FulDqtT5Li5cHOQN5tfs3MSB3NsqzX633zzTfb7fbm5uaHH35wzp1dnMN9MBqNer0eegmgcE/6Cllfz4wBW2uhN93f308mk2azCRMJM4KvGMxCbsSB6YjNpulTC5xDQq8w3wLqFr4aY1qtVr/fl5+2222SIKxIUOVwDdh9QfhrEkC+wGQyQbOHdrstFRFO5fCQT63V/FRPAeYbkNyqbAKZvlCHMSbLMtlMJwiCY7vmCU5oAFVSrCwGCFWMhFqt5uiJOAPffwSDS9NUco8hARzxcDisNRsAq6x0vt+TTqwgY3Z7GSHDuV6v//a3v725udlsNp999hl2lEeuD5A+TdMorhWwXACq0X0PS6ogdARuhduhJvR6PXwFU18ul8vlMtluVqtVst0i0Q88C0L4/Px8NBp1u100x9KZ1cXh7afpyCx2gOVdQSy0GxGYYNunp6d/8zd/s91ur66u0jStNer93gjyBIlN2+12NpshZSL3CeGaDKy1wKfFYjGdTqfTqWw4jExmaEyo84b+CSsA1SDS+bHsWKoUtofQj6qYqRaY9Xp9MBjA9oZ4nM+XaZrmOUMCB0HQaDRgrIlkKjxHEG+1Wl1dXW02m8FgAOVRQgOwI5zaaV6IVhMUiBy3iJ3vVPGALChE1+npKfqN7hxRlahQ0DfoKJoaX0tQYJzO7UKnkl8lkEXwEF83mw18yJnLmfni+TPZGUQgWHA8+Ffsdn+Loqjb7X777bfOuX/913+9ubn5l3/5l3a7jfcClGDtFTRJRPsJJPZpv+NjU648D5wghWTGBxJwgZivzWYzc/lyuVwlCZrRwsk8Ho8ROVsul19++WUUReJ5diquoCV/we2xN0ivlVkfVBCffJ7nzWbz4uLi5z//ORFdXV3l7L795m8uXzyXJmxIsXDOoYIMSwnnVrfbff78OTRtwBm6DF6BKsvVaoVthxHIhexFp1XBYw00jU7Hwa7pWeauLUPax1trLbQAkRztdmKM2WzS1WoFMwTqIfRBDWp5AhFFUYR4WJ7n4/FYUqyRwAsFG9nXYtSwcuAJ0Yp4w3tl+nDvOd97QJRTXaAWFmAhnOwQXy9zRBxJkmBPSvJb6exSgv27jC+Ogy20XC5lcOjnttls2FAcx/3hAPW0WhPT9kBhSDAXkySp1WpffvnlbDZLkuSHH3749//+36ORBa5EUxtS+4VigbWYJc9Q/dobYz5tb0yzfzjl9dUe1N2MDPV6vY1vVbdarR4fH5EbeHV1NZ1Oa7Xay5cvG42GEJtVEV3nO/ezDxJoKIGvB+bJIwpWSN63gVUwxrx48QI9DN68eWMoihv1ly9ftlqtRqMxn8/H4/F6vZbECeG/MH3zPB8MBqjnRlYcJA88WGBDCK3DbdNoNC4uLqQtgfPtfwVKsiiVZoimc6rC2zLRktJ3jIoXBkFUr9fznOEkt9YiFk1EIvkLPAIgRadBeENztTEn1GysI2hb1HtZApEH0DugkogOQkSId0oSG7JZtApdoR4b5ZgpM7Mjh8w2z3OU9kIdDSkSAoYSCEcIlC5gwP39/f39vTGm3e1g1ckb8aDYnafb78GlJOGuSBCKXxzH/X7/888/H4/HP/7449u3b9GaSMI/1lrDT36RwnroBdZUIY4ojUMHJa2qXJMPBWAKmprAElGdGVpru93u9XrD4XCxWKBd07t37waDARLuA18wjERC3AKGjdUVB3WuyicC3/MFxNNqtcT7IBCOouj09PTv/u7v/uVff3Nzc7P6v5MgCOBDnkwmMFZ7vR6GgRthjz179izP8zgOa7Uatl+TqnfEinb935KEmdErE0iJxlFGJTOUoVowBfXqSAbC/o3wbD1tMyfyjXzAU5bVWlur7VYKjiihLsG0wspiMKDni4sLWLOYbBiGKGOy1qJVJfANvk+8GmuEdYe/tlarNRoN44Ph1meGAXS4EaLLOQeeiMFXqMei1xXgWJBIBTsQKsdisYDTeOeqJdpmm3STIRAPggQ3YmYwGJR3LZfLwWAwGo2Gw6ExRlqiAzWlk2OBoTCja3Ysorher19eXs5ms9evX//www9ff/31YDBAMyS8Md9sK4mtDATjC3E1fpjDmlsBXIWTrI7AF6MatoGq3Y/juNlsYn+zdrt9e3sbBAFSAjBB4/vFgAbQri2OY1ThiDYInQrvQmvLOI7RBBOmpkwBiRNIaXz58qVz7rf/9v+8vbr6n//zf3a7XeiBk8nk+vr62bNnxvui8SIYgdbuPC7yK2hbPIvOl90j3PLTTz+9efPm9PR0MBg451CfQD5yWwagKSXlajQQZGBmJJ+WJa3IcyFFVr79NN2SDzdAWgh5V641FLpGo4E6CumLhrUIgkB6U0q2pqysBLQlOw1wgwQGPTtfUIHXafkk8woP+VJ5XwSx+lfGTiyYNNcMwxA9ODebzWa1QXt71L4DdkEQNJoNzMEEFESWjWu06hcXZy9fvgjDMN9ugiCwUWRcTnnGWWoAeqLAYus0JiIm0+l0ALhGo2WMWa83cVz/5pufv39/PZlMkmRbqzWSZBsEiC0FelE1Bhw/U0agj9dBcKWUwuW+ap+ZrTFZlhnvZsQFWKrPPvus1WrNZjPyGy5jmoAeIq53d3ez2QzYA4MNMXBxbID39Xq9VquFfbqlPS0+s3jsieI4fv78ebJJgyCYjR9n48ftejXs99br9Wa1tOy7cLELDTbvY2woi+QvBu+2NvCqL4gkCALX6wERL87OttstnNLQHZDlo2GuSVdUZSrJEr1Gim7JmKcO9caQkAERzChxjhjm3QWsXDCBz889ssqs6qJg6cRxjLbeIDysmjEG+ojxziR8xT7sULOBDACOdrALPpBnOhLAN8Yc7FxRUBrlg6vyUTHzer1eLBYPDw/oJgNt7eHhYTFdwHZCp+x2u91ut2u12uXlpeBi4Df7GY1G6FGEDARwI1Lub9gAgvo4Q55PY+ZA4m+//RZhW4hZYeREe8qqXm+qUsmstVIDXcCSarg9VQs8vch4e15UfXBW7IVjVK8cMHs8HBqpRA7Aj+WBzrnFYnFzcwPVptls9no9ABDdhnN/NBqNdrttfX4cqBqPksYgAjpsU/r27duHhweYOYA5iFDbZn52T3PX/g7Rp8gHtBD3+uabb9rtdrPZRGIz3DCkDAoN/ENEW4m0BXZcoOrAF2azFGkyx3FMZMV6ktdptJfPghi5Osg7QUCQMN2R7YdAl2y5AL96r9dDGS187PDwLRYL8RRoW7rgdxQIHGuhWlZUjN8RSM7IBxRq3d/fz+fzbreL2uirq6tkmUC7AzL1+30UzXe7XWZO/EFE9XodtdFak8HyI+YB4RCqLo3MjL2/cFngk7mZ+fz8HKggRdjlyRfWWBBCky6Itowoh/DGqr0QNdFiUTGk3KeCJtuNtZZ9eo1glfFV6bKrmPGlsDBciQiEWq/XYVaNx2P0/h8MBr1eD/obTCwiQoGO8PXNZiNBP4g749M/avWQmdvtNhwNq9UKDWiwS7j1RbCg+SAIbPCEG2bfgWRVCpfoF2dnZzDk8ITQ1/QWaEMz1oKQqKRbZparngSMSv0F2CHYhUXmeQ6fLkAR+V3dAp/6Wh6ARgwsmfW5IljWer2OuBEQNUmS+XwOzQhuauxlBcOk2Wz2+/3FYgG5YlTONqsuS2bPOVqq8vngIZygwP/yPH98fEQrTdR/rFar+XxeC2toh4vW4e12G2wbruP1eg1jAHWbWE7yCiGoGvYw2rEjYYi8Qm6MYZfjaZAhYsSDKQApc1VuUlhpWQZBL02xHjM+wX9sSmoI/gIh4FPF85E953zBAIYK3gyeLYvEKqOdfIZjq9W6uLhA99k8z2GYoDPBeDxGoCUMw06jCWUMoRpkdCwWC6jQwBU8FonEcS3odrvYywfNopIkgdNIVlwkrXNOaKdAeGVoYNaI9wi5Gp9Pq6VK4cYyhMscE2tYfp1YgxIXBXGCVYkxIvDHAmmJpdkEDtHn5RXwBWIu6J0GJSL3Jatpmj4+PiKPEpSCh19eXmJfFSwrYEL7agWp7Wx2RBscyBAqAHEHCFOthDDzdDq9vr5G2fRyuQTbhjt0MBggYwlaAcEHE5r1Yn33eDeejaN6NBwOTy9O642YiGzONjBElCSb5WI2nUyWy+Xt7W2/3++0m+1Ww+UpO2cCyU01ec5ZlgZB6hxbGxLZLHP1ehPyJM9dGIbWmjxPC4EspzqbUYlo/QQ/lmj1jQVIgvXe399jx/R6vX52dnYyHDBzmucS0YHIBVU4leApMBffGKwJ7HmX5/lisUC39+VyCS89hMnpyaDVaoGpwUHofAGt8YEKKO1ILIVMDoKg2aiFQd+QM+Si0BLnyXop7J9dJi5oKgW6zM4ceLIMrbVEnFOOYKVwKHmCBngZhlRlkhRu8e8SL7EhstgIBnkNGNV2mxmDNnQhYjaiPLJXheQVMn49JKP2iJJbQOpYMsBQV84gNNBqtVCCen9/Px6PwYi//PJLJJAV3ihfhU08Sdoj+FfJ7QJjuFQm5pybTCbIB4iiCOyq3++jVhOOEEhjsDdsNXB3d3dzc5Om6Wg0+uyzz0ajURjH+WaXvZxl2XK5fHh4uL6+RvQSuxbAHIJpvs1Sa2IKLBjYarViZkAHzRbwOuMbKWTZlshilUWXcyrlgxTdHoLM8aPyXva9DpMkub6+hu9+uVw64m63a4NAV6sBoUUFlZUzvhJDDDPxOTnnUBOLrGa0noDPFluTQU+BCEWbeLhzJYqDPX6NMZvNBuXsxhj4FJvNZpqmDw8PIpwFYjIwsbfF6pYoHb7uMhaIN5tNoBKkJIWwIFs0MOUn/fkQxmrpqnkxFK71ej2fz+M4Rjk+EBKGPRwoiL6IR1DPUb7KoogvQIr1RE7iaexTaIGuvV5Psmjev3//7t27TqeDoK6olnqCAuSC+vbJ24IADE6lPYFXwZp1zsE5BiXh2bNn2N+JfSgSE9tsNn/605/u7+9Rlzcajc7OztBiarNeo8GqtXa1Wr179+6nn34aj8dRFGG/xnq9LtHw5XoVR00KLLRiDGkwGIR+wy6gBUaL5BXjdpKzIE5FPZYz+F/93TvsfqabHAWbX7MA2Ki1Wg3dSbfb7Sbdfvnll61OB3FCqWIT/VODXZ5pVZ62VZ2iAflWq3VyciL7Ta5mc2stCnGQdw4Pc5ZljUYDBWugW8SNYLsul0vyUXcZwGKxsL6gGqtJSiMTchXqDXzIGta1tdYRZ1mWOYcNcqFVZqoanhTTFKFdRkjBb947wEqKpJv7HMMsy8bj8e3tLTMnSXJ5eSlJPlBwJGsaiKqHUcmnnE9rgVuR9r0YGnQw2ZDKmqbpixcv/vCHP4C3Agjs7eSCSKdSvIeI9nbm/shDnivgds49PDxkWdbpdBBuPTs7w7YucDNAD8GEsXP0mzdvlssldt8ZjUbOufF4nCTJZrkCEPM8f//+/c3NDbaHxhZe0JMRvLbWbtItu3nGTh4ODEaipnAW+9QpirHJ4tM6q+PwZKv5euX1BWZX0HO63e6LFy/iOIZW8tNPP2VZNhiNCu4ZkbFaVsgH6+sx9JMDVc2DJIod4mY5cnfA75An3Gg0sCHAZDKBlcvMKJpFy2IgWe6rNRAwl0oPIpIU+YJAE7BoDT/whwksM+fM4BFCzBq/CwR8HA/1QU+dg54eIh8gZsfjMfztrEQOcj/QfKMQltfDKCiuhc+S+SN0K9godgQ+OOfQuwNaDASyuF2OY9ROPT6ErLYqXREDAsGwSk6CupvneavVury8fPHiRa/Xi6IIYR65GBrs1dXV9fU1fhoOh5eXl4hNT6fTVqu1Xa3n8zn432w2m8/n8Dz3+328aD6f61zzIAiYjSR85b4vtvMNQbQLxxzwA2vGXIbUJx3lG+UMAu6Xl5fdbne5XF5fX796/dO7d+8ms9nj4yMykLrdLrJBRQ3mkqZkVXKchO9k/NopYq01vp1K6NusGWMQ1E395qjGmNFo9Pz5c2k6r/Ee1jiIHLQtklZAB3SUlCz227g4FWIhoiBC8uau2wOc2ILi5XX5yFXw9z6pRYUFFQ4IlpRlGVJE4eCV4KLz+5W4/SItGVsBPTRz0RlXsiLwF+AkviIjELteIZiCMVSWTOg38pPRbo55j8sMj320mjwCocsMaAxuxtFodHp6CtPc+aJ7OEURFrq5uXn//j06Bn3xxRfn5+cgzvV6vVwu88324eHh5uYG22E651qt1unpKTr96aBlEARkTaPeSV0O6OjdULVrR8/ROVfOJmZVkLC/Hgc5feUqEu36cZmS6wJrIzIHXnQT2PF4vM0ybFTX6XROT0/he2Td/cNbUJid5KlqgVxGo53yxrsmJmhmr7OCQLHoNm6MQfgU3gHet+Kg6EIiSeaGwNb5/ZFzlUTJPs8cs0A+HBG1Wq0gijqdDogk8xX2ua8WPi5dD62FsteKdfMyBSgag8EAQVS0ZIBWjL1aIfdon1T0qArn9QAy39WMlBgAKeIuqKXL5fL+/v76+hpittfrCbiMqlI4ItWZ+QOleaTsez1cgQu8jsvlEppVFEUw26RSCW5MBJfRcXO5XAJMFxcX5+fn4jSCZyU1FuYoEvQE0J999hkGoH0eZI01sTO7iJxsQiEiArcILJxz5Fg4GqtDr0SZvVUiitl3URTgJkATrhH6tuC4q9frRbV4Pp/Pl0vEAx4fH+EpQUG2DAnCE+H4wNemagGl18jsF9nCa5plGdwEGskQ3b27u4Mhpy00cBkR+AJ2EZtQYYSHCq0KVBFhEjIej8fT6TSqxaPRqNZoiK9Lo/Uh9KPD1KKXA78wu8J5+RBF0WAwkCUA0BCG1OHGwtpVvagiUKzNYCFaoypGIGZhVE+nUxiS3W4XTh8w09xv3n0EDsx8MCMqUJnuT9cYkiUU0ZT7bdeM309NVlocxePx+OHhAUUCzWZzMBicnp5KXW8cx2dnZ+A929Ua/B51Eo1GA9vzSd6FHERE1mQpRdGuGpt9j1+z74jTpGWtFUmr514gP1mYP0NPLgKNiJlhEAr1AsJRLW40Gt3tFrox4niw2OHvsb76FLocqUa7WismpRDSPp8WZUc8z1jZ7XYLA2+xWDx//rzX68Fw1YxGAOh88ElEq1W5Wfp663Nl4bISnxkUsbhe63a7LV8qYFVhhsxCY+cRyVa5NKwsWyqtbxAESKgW3SH0G+1Kvr5mUgUdTT+z8GSnAhDCwnC7MAiEat+/fw/vz+np6YsXLwaDASsnKEhXg1TeohnKx+5Pq7EQEzPegYYwA0ocEIRg1dwky7Kbm5uffvppuVyCXIfDIXZzkQo+QG3nJa/VpZUukvJ6vR52LsfbdczKEVu7YxyZ3xwEWA5TTQNaoTLLLCrFrD7DJUdUWQ4fWlr5rDmIYEye57nLwzBshiESygeDwWq1AuVABMH1GvtDLEC9omWZsL+mu0Cf9aU57MMbaKy1Xq8Rng18s2jyBph+l2AhniB+JlEL5Ubaz+tC1QskbSN72uIUlmQZ4zXPrUROLTz1Xaw2mC+sFPlAmlUFesa3QLJPucrFXrayvjJI/UZ8FTqX8WgPqFgN4/EYyaHOuV6vd3l5eXFx0Wq1dPai9Tlk+tVlCByL0+ohkg/2BEFAvjAfLHw+nz8+PjJzHMftdht+IFljsHM0RoDZCa0Y+ME+wQ2mGrABlnoQBMPhEPuRa3+6JgDHDqZQ7pvWBVJAU5J1zGzMrs5OKLbgdDnA4Itsng446gqgMyVRr6M1IpdgWSEtESqlcF9RQUVrzdT2IgWspRJDMcaQMbqBYOBzXFer1c3NzXg8Fh8SmmnowUvykPEhfgGXjEFAzaq5kcx0vV7f3t5KiCuMI2zDBW6up6nJ4AjFUpEl6enjliIocIg+L7NjtSWFzFcvnL5Sv6sAc6c8+SKf5UzmN+a9vb29ubnJsmwwGFxeXp6dncn2N7B9sPRWZT5VUiwd2epSBqf/siqhsn5Hw+VyiTrJTqeDJDXyBRPs2yP1+30kSMRxfHJycnp6yqpuG7IRC2kdY08KtDIeDAY6jqcJwBhDhsIwXCZr55zfc8DgORgGafT1YHdq31qhXi0JNQKVYVIQdHKXvqbwWa4XpN+9nTiKIvZPAIXgrsh3BtcoqKlF0235jQKrjHf5WEiKwvKt12uIWThj5vP5zc2NqMei/UICR34XCJi+eEXm29OKcz7w/ZCwlLjm7u7u3bt3s9kMlg62URb+RaqhuZ6sBrWenQZy1fW5MQGVlA4A3zmHZJLQ97sCtui3UxWfLbzF+V2IjOpjLNBw3lsOop1Op8yM+PD9/X2e5/1+//z8/PPPP8c+7KJPyY3GWx96ykZpf+ZIcoU2M57+Og6iXQpO7ruZzmYz5GQheQBtShA5iKIIorLZbF5fXyPYA3RstVphGMJwRQ0KYS8J3xAg8xs0Ak3Fu6gnw4Yc5Ujfq9frsnGbCN7CMjiXBdFu/0WJSRRWd58ADLMztuRFV+x5D0u4OtRGatc8jXNkKPGdYo1KSOBSLjQpUakfUtAUyoe11vCe1srMSZLc3NxMJhP4DqbT6c3NjfBNYDMCQiBUKflA2y3RFUXFZWVRw2O83W7v7u5++umnu7u7LMu63e6zZ896J/3Yh0PF+qUSme0tcYkJ6jOawzIzER8QTru5i7uIPCfVa5qrvF9BhgJ4CyedyuPPVZ0dtOLJZMLMcPhlWXZycnJ5eTkcDtEwQLcZFTiw9wXm+0nIVu8wcGix92hVXeOcc1kWxjHnuWHO03Q2mWyTJI7jehx3Wq3Q2izLLBHnuY0iiNZOp4NO4n/605/u7u6SJEHotdvtIjwzHA6RPrZZr20Y2DDI2a03yXK969xhjCUiU1gzotVy9fr1q3fv3nW73TxPnz9/Xq/XEcCHT0I7P5GYmrPLXJ4jUV9UX0NkwAWYCAW7Ij/t0zW0i/buthIl9dcYMsXSRRmtrC4uA9YQsyC9XCzuIi3S2YcECpRfjaH76wjnjCM2RMYaYpot5o+T8SpZ2zCIavEm3Y6nE8Cf3C6oA9cRKsuMMf1+/+LiAuVZMiTnXJqJcihJBc4Ys1pv7u4f3767WiwWJycnp2cXl89ehGFoTIAQr92liEBrA+0Z3hVKPy0J1p33oLpHR1D7aK/W++kQGOIGIVpT8lwUKFO7Wt1+LoOIWXkmewMeUhfZKbAciQjmXhiGw+Hw7OwMoQFYItAxEUsD9UJhgaqoHYf6OGbTFihWtBrnOwwlSYK4K56OCI1s9wRpGYQhnCio8un1eu/evUNscL1e//jjj8yMGss4ju/u7lyWOefQ/gu7lSOrUS+DRtYoitBcplaroQbqm2++gQ9MB+7F6ep4x9VEprHKEtHcVyw0oRxNjW4/dq/49x6IK5VYOsDO5Yz1dV6FV5uSpVcemCyffJbcBuPDxfP5HGV3YKmDweDs7AwbPaebrSTPIEq3XC7n8zk0PaSayais6vaQ+YJvSNGHhwfEC7Is6/V6Z2dnzWbTOZf5WvBAVZAWMqIqZ1E4qfFTg64AGfkcqG1u9ArSvmSSh2gRSiWqFvVVAtFCvbBgkySRzkpoTgYHTbfbJaL5fG5Uq7BMdR0NggC1H1999RWYJprA6LcfjNPyvjNAkAPON2ihSAZ+fHwEk0CcGkxIMuDlCVEUjUajZrN5cnIyHo9RjLJcLt+9e5ckSbPZ/Oyzz6y1766ukLfYaDSwgYjUE1eOEym1yL56//49AoCgeevrvMVqdc5Z5ajQGlq434tEEc+Tmq1XUecYa+QwVWK2cK+GZxkrjQq00gFRULi+EjK7Xz2fFU4EiwbFAK1WCxG1Z8+egWjJMRKPrbWIYSI49Pj4iD44pBjWjlvZgK11xmHj8+U6yfP8fjx5mEwb7U69Xh+cntVb7YyJjIUeYwwxG2aDkqw8F0Fq6CkbsZpoabfFmchk44UtEZkCMxU01iGcAifVZF8Gu5x0PpBD3p8sUBXvGigWBafYBBguxpOTk7OzMxiPkgttVMEgeVcZM8/n89vb26+++krXIWhqOki0hfOyQjr4vt1u7+/vkSwBgY78OKeKpPXuUkRUq9XQCBuxZmPM3d0ddpRJ03Q4HL5//x6JinCZStVlAenlSNP8+fPnd3d3j4+PeZ6/ffvWWjsajb766ivsrCfeV8CF87Sg7dB+apE+z/u6LpX0jsoPGmhlrlcAKSn00txdJ0Lopx3A4+Lx9Gpm8n2PME0U7qHPGzgjVgR6TWCe9Atmbjabs9ns/fv3YNakenYzc5pnga2R951Ya/HwxWIBL9fXX399fn7e6XQkC78wPFFnCqAWgFiVkavXqPyX9vVYs2/uyr1PvMYTalm8s0q9LJwX/6X4dIwx8/k89bvPLZdL9FdarVaXl5eQUqenpwgNiEOefcqUUfsbQcwiNRCeHUlT1cdBohWvWlHOOI7DKE8zw7RaLG+urrNtGjRbtUaz1WjWojgKwigIdxtxMiM7KvN9N5g5CAIIQ5TmvH///u7u7s2bN+jEeXN3h0YkrU7HhiHCDluI2Sp8DUN7cXH2xRcvO50W2q9cX7/fbpMs2yImjJZIYbhr0kNm1+CIiBzW2xh4MGAVGS9+830tmphQTbzDA1GDAUBPfkV+IPpV6StkCqtYsVFHXtUhhKpYw/EDKBZFkQkCNmaTpvPlcpUktUajPxicnJx0+/1Gq8XGrJKE89zwzpUS+q3KgyCo1WrYlBBeRnEjpdvMkCNjxacKn9ZkMgH3hKeUStlpglpGGS+aegXrctUnSObOVe764wxXuwM0My2oMAXy1hcI/bPfpUHY62KxmEwmKGZGwiayQVEJIy1H4FiVECa8oZInB7sS3SOYGfvFBkEAn4JmLh9IrjD7RhSeHvn2yngTUiiNMaIbizaS57nZbln1QLJ+/wEUGFi/USI4MZyZxhh0pQGZ4UUSqi0ipXONRgMdABDdRWr7999/PxwO5/N5r9dDhW3ot0sLfEGMME5ICY1G5NWhSO2AXB5Apfwsg7EAQ/3Bqp4sGkvKceCPlLH6RSIxJBcC3U+SJIEp2+v1+v0+SHGXOu93pjfGWGvRfgQxdrgk0ABpF6pxhkMTePV7vV7f3Ny8fft2PB4vFovLy0vEeJwKdGkRJ6AoTLagVX0MeAtQ1WSvQa2vkVUuP0e/pUC0sl4AKT7A1YQG0SiEMMZAMV6v1/ALyJbcyDyXJhXiakb1uDiokBUXBAEavuskloNVPkLZGlecc+h2j/ynPM/RyrXVaiFBLM9z6PS7pp6Bdc6RV5U1C8jz/PHx8erqarFYQKkmosfHR0SAzs/PsbuR+JOOrJkxBv3iUE4NA0ywE0ogPNjomgcHgFEOQKwWkhB2HYn3t0Qp8OYybhXwrDzCAkppIBeQxnjX5ZHnfPzB+wUoKMdbr9cnJycvXrwAcOI4Bl+PoigyFnyQiGSjA5Q9Y61R9myMwdLEtVqa5Y4pjqLZ/O7HP726urqCO7TV7gRhtNnuWvgykWMyTluPHmwscLZE7HIXBNaQcTmbQmcVJqKdykPeyY+EGehPjve2Yq0kZg1GWyph1cE8gaGgASkllJnRaGE4HMLzFAQBBKm1ttPpoC3j9fU16pzRA4iILi8v0WwIZiBkGJSUPM/Pz8+xKPANOZ+8IWM4VppXJloiWq/XzWYTOYnYrAWtXBGPhWwE0cZxnLk8juOtTzC0KhM1TVNU1T4+PjabTUSuxuMxpn1+fn55eYk6BHRXOISvURTBvYxRoRlVEAQolEEqL8qM5vM5BHuz2UQPJCFXEA+SfuFOQ95sYVG1jlQOf9NR0uV9He/IZcbseVP0efpEeatdUESEtCd0mYYYBIbBfoHlb/gp4LHdbheLhfgXkEYOqAL5siyL1A4XqBmCWNaAzXxTO2ZpWFRt/xvVgIp8C6vKqRlleLNymgalndQP/RVJa/bVcqFMLbeM0r/kVwnJ9Pt9Zo7jGJCUEA7acTnnEASCJgiAYLdR6JtYAqmlOTk5QcHtfD6XwiNBAzoep60kWuzyAgnW7XbRnjdJkuFwiAQpUfbyPA/CvSJDcSxlWfbu3bubm5vb21uoathg4vr62jmHXChpqR6oBtmVB5RqVGmj+dtqtUIqNqqLVquVcw71RuPxGHoBwGFUWil8AEEQIBMLZfeVkKEqH9Xxo4w0lReUP8sZzeyPH6z0z0JABY4iMK9+vw9BAWmMtkZZspFFh+aG1iIoo//pp5/AjrvdrrXWsUlnM+dcs9kMrCF2Ls9qcdRoNNbrNbGz2ALR5S73szBGXMTGGAhND09ynLPbY0+HNjnErbRzdBjB00NwrhS5AtgC0Zp9B345Z0suA9Gi6TE4oLTsj+MYiAeKhdosHmY0rIYBjHIFlC4i8IHyGNCObkWEARyM05bnLBwoyzKU+WOvxND3NJXkSZFyrbidZZlV2YVElGXZarV69erVq1evFovFl19+eX5+DhUOrEh0M4ksiwFQeYCvL5dLGMAge0Dt5OSk3+9Pp9PFYgGlDm6S6XSKhE9wPgExlH/EPCC99Xt5X5WVJReK4ipbtBJpSBF/AYfIRxQqn3Bc0hqlbxcEmuAZwIIKyl1CBRFKCIwxRhWUIo0Rm/cheIigWr1eH4/HcRw3260wqGfswMGfP3/+9ddfv3//HgsBbyoybCWaIDy9AEnr97mF1i0BzEMzFbgV3OyHWFtZWRN8LnBhURCoKgisCdj60kWYqdCK8zxHKBsEDK8y/Czowp0kSbvdxv6goHDkeDYaDYSFsC55niPvKPA9bmXMnxbyIU/3WOwoirDXLaAsHm38qm1CgVqWZYvF4vHxEe6NIAjOzs7Ozs4eHx/hXsbWrDCeyccVKyWeLFW4a7n4lGwN+1aSOpD1gWH3er3lcjkej9ErQ4wQ6WkQqF0hAt9/pAyZP0/eUhW+Uon9/xUPjW0Qp9j8Aamj8hMoNs9zUkpjp9MhIqR/L5fLm5sbAAd+JiLq9Lq1uLXNs9FohCSKy8tLVAWjec1isYA8ly5nkrWn3chwVrPvbSDx8yPg5SrnEx3oIkpVZFy4sZKrljVNq2obzH6nKLHjYDsIUaDdcZ7nwHDp0o40RgAf252h6xD8guR3pShHmMMjkqHM1EUCsO8Ta33ypGizWC1mbrVa22xXZSbc1PlSvslkAof4ycnJxcWFNDE6PT1FAwrNAo+IWeF5xldUY0YAHL6iTwKEzGg0SpLk8fHx5uYG3UzhW859p8goiqCf6zSsQ8fHk9lxCanF9V9ylDkC+1xWay3U2ufPnxuU4EfRzo41hnxyD2cZ+UA/WsBZa4F5rVYLNshisdhutw8PD5PZlDhM0u3d3V29Xu/3++i8kSTJ/f29cw5ZHBAsgHBZs5C5Q55g3WVDunISH46PFDakJLm+QFOmJtcylVZCNVBbuuLI1XbqklwQqV3ppC4aIhSStt1un5ycSIcDRD1R3WF8w3rNwjCGg0RbhoXm2VqQGtVBE5Iq83uWLNcra63x/AnkikSIZrP5/Plz8T/DffXVV1+dnZ3JPpeiVh1xRFnVH1iDHiJa8ACSlvwOVNjnajKZpGmKJKrQt7qHsoDqliMEadTxMQA8pLb95YRaOTZ5OKsaA6FD8rscSjoHyy5VPrQm9YMSbEP5GAA7HA6///77q5vr6WSxzTOQGZLezs7O0DoHO3c2m01UAkNHk7ZhwpTlw3q9Fp+WYNTHzLcsdY9DRl+jP2vTUfSpgilb+EweE6DKknfBwOyCE1QaoDOzCOFdKovfMAXmCdQNzTgAB02x5kiPqILmJodEhKUKAUwFzSs2mw3YKrw+eH0YBFEUIWnx6uoKW9H2+32wfPIp8tvtViwoUH7s9zvRyTTlcUq2jaQiSp1E5puSYpzOOXRmBvpGUZT7rSLB+fBMGc+R5dfHxwjJSuQgRcxllv+Rbz9ysOpGIIm+skmKtFwU6wMcyBgDVAPo8Ouur4hKhX3//j3oHFFHIloul3Ecn56egkve3d3N53NkWRARdmlyqp8zq9ogbAKIUkFE/jHOQ+puYY5H4KbV5jKTPaQ2c+nATzqj1pSCc4ivItUPnRh0IEDMEJErYIiQE8YYGJji0BYXVLa/6UFYKQE0IDQ7EaEnqYXO13zled5oNN68eYOGgxKzstYGYZjnObYguL+/x8Y8rVar3+8bYxA/MMbA1QGDXoK6rLaEqTxk/hrvxS+vE9nB0aGnod25VaVwhQwkVps1H3qvlrQfJLNDSldZMf5rUSwprIL7UK+deAECv28N/EDWPG0gwr70RKCH3ADnN3GFdO12u1KtBWGCWpYwDH/44Yf5fP7+/Xvk9CEh3Pn0KSjbgDxqEsDrEeTXoY7jcyxITsEcqQGEwiXoJChdqWbiskP0r1FC4x4pnZmInN8b3vhNmMAcpWs0e9UaZBIEAfNukxRSO1w6n+oobyQhWq0Y4MMhZNVmsb4Fqvzd3R0zwxu82WzIsQ0t6l0fHh6Q84A+5lDlkUSFdnDwHgvUyNNSQQqV4ahvEfLGzjTkM/tD34kfO5rDrSfKglXli0KEh95YOYAjRwHChZ8ERT71sZ966BkJFwvUlmXkN1+ABTubzeCHR2qOdGkDOqIWt1arBTY6Pz9/9uzZ+fl5vV5H+A32bRAE0+kUfVKx0SnCRdAGQbdwzCC2iTw+EDO6yaIw6NB0DrG2wnlAWCSePNCq3En9TOH7lZK2QD/6Ffqxzqcoi55vVNqGuBJwxrPCp6fpWZdnGjI/9bwmIjUSB3KQhcZXvzGpgAZJuwSD+eHhzrksSVbT6TgMw16vN50v0CRhNptl22233UbixGAwyPM8T1NLFIfh2Wg0Ggw4z2FkG2aLvNk8x8gOWd4Cwh3ghEKcQ0EqBQEzRyhPZd4mCRFZIkhzAXQm6c0fZyAZbDxOZKQJDqBWvvJoryNfYY+X7rZMpf2V0Iflj3LAPCEZ56iCCcxupYh37CkIjLVkDOXMaGJoLZEjKHiTycQ51+l0EINh3xIVu6tdXV2hwns0Gj17dvHy5Qtv1OwiCLVa7eSk9+zZBfLyVqvVarWYTB6dL+GU1pnZU3OvoF5vmV2ntZAIzW4PNZGXdTDMMn2j1o6s3aGDc7tNgzxy4WaQDISTk2f6Xx0Re1QHLRxr9SarIPQpjjTtncGhe33p88ycphtWJp61uxpj/ZZQv4yoKGEOYa1mPHhZo9GYzWZffPHF9fX1P/zDP3zxxRdRFP34449p7hBcybJMuiJjfwTo8dbuduL52c9+Zny2Y2EkHynN9PXadqdSvrhRznp9r4hr+VrpddR0qDkxnlseW+X4d6R+IMf4uGbxwfPy1bmnfQC0pC2MXO7KnZMtRdC/FpYVdOb5fI5diLHfOZqP6jb58ny4rBAXkIAHmj8igrBYLJgZGqPshwivlTT6O+KALItTkZAF8xXuCePdpfpe9tyKyBWAoxfaa9QVFFsAOCtPtZgeQrSkqFqPmVXbI6viwCJveT/+H5JxeCepp5l9naEMo9KIyVhuNGv9k+548rBczX96/ac4jlfLxAQhIjHdbvfk5GQ0GqFQi3zLP+hL3W73q6++wkoXJk9HibYwMLnSqkR8UsUlZQedLC2VKLPw2DIfOQ6WDw7eGLOD/0cfpmQAH3mLRgt9u/wVD58GOFKOkZ0H5xNcAMiJn0wmi8UCoUUbBgiDs69WkyVzPkOIiNAUwTmHHRVBwNjRU5JGIX4hgQtdGj/1KHA9Vq2YCgTDzMY4dVdhLdj/xervyoDLK1Ieg/GeJ97PjiwP0igHClXhXvnrnvdYc6AC4/nggYU5OztDR2YkUcRxzBmhS6M0lwn8vkySwITAD0LJpDwBAt9DwurIEahmWaSQspBkY0rlYOWjAKICWItKxyeN8nBXx0NgPyRhDh0FopUPAhY9I2ttFFmE5S4uLobDIZYJTRhms9nj4yMcvFjNIAqjcLd9Jp4cqt3AxRGKiDczf/bZZ9gCG5l9xhjEOYzq/CgDOyJmqYq9ijTTwk24s5T4mQP+p7/kEE5apkxbqgcuz0J/1sJDzhd91IcYwKeOGxQYRdHnn3/ebrdnsxliUFlKKNwRRQuvD4wNjGVml+U5kwlDzp2Fd5po10YJ+MRERJ9KDc45cEXOnZAjO4f9eDU7yJ0j5tDuOd6eAE2GvMmkO0Kp3lLm6cMBoj1CWlipqlsqJbClMijAcSofDpOP8koxTETWYLmJiYk4MBEHZrVa3d/fI6NdurShfR8SPLF9Sb/fj2pxnudsjHNZmmJjnp2uB3cos4PNCQjEcdhqDeCaTpKEfNqQeaqRgJa9KzE3qq1pFeieOCc+gwMbg3+U5ynUzjxHGqADqI3RvGwv6CpP1voI7RpQsTeAy4tVtLDkOVSipgK717oSs2x/IeoghrG3wmGlmvfnSTa4E+v1+uXl5Wg0StO02WxukjQIIkkWkedLGoZkZThV2ipD+vMUJFJmAGZu9yuwXKn0vFLNNiqvo6DkFEC0A7Bja22lL6pykMayuNL0ow5PyxkuSomjK+XKl4lirAUOe6+YpRAVJ7PZDMnY6/UaDZ8gY4fDIYRwHMcmsMaYxO+mZ/2W6ta3BZWmthgAtGIJcjjVqUOSWzAesQAPTUzjunwQpTTwrSEE9e1+MuAhBURolRQGKuLJtRtIX1b4qsdW/kvKfNNL4JywlT2UK+BnSE+NAfdeaUxFN9AycstRq9Wcy7fbTbg7AmuNc65erztHMGPYB5RRqi5mBikaEFr6C48y6GkfCfSyHWFSh+zq6q+Hyafy+V6csjrD5UX6Sw5rLZfaFBbWWl6aZRkxwcuwXC5fv36N4ASqxoio1WoNh0Np7+aImbmmNr+QGJJT9e6Bb4IreTK6nhkDyH2Ldt63jConpcmPFGwh4cWpgwciL0DHXfi47m3Eb0fsDroMNDcXqi5crGPC5aHq6RSuLy+WPp4kbSWWf/B+OSA5yfd9tbs9I9IoJGtD6ytps/3m+gVL4wiyHgLxB5H7uMrgl8ccuqxsYxx75kcTrZ+p0cz1gxxEH5rNHbmemcujKsxXU28YWHRLNcbc3t4aY/r9fr1ePzk5QdOZwWAgNioTW2uDfZUEz4ePg/xPViXWF1gnviJsnqtW+JVC5hAQ5Mj2d83FMwW79HwLlCbj2c1sd9nH6psy1IIwoMPYosdz6DMpFJUbQ9qFrYwM0U+44mVH8GOz2YZhaIwlckQmDBHOSfPMGcPiLpags9TEgcjJp1keKuj5VMlTEFmyiuUrCyyw/GuBg34MRX1wYDuVa4cfFVzyg28p8/UjbyxfVoklRNRoNLBvxXQ6hSprrUUvEXT2kiJkY3bmvKly7SAMS0p10pQjmFAQMkJIQrTl5AohZj2RAqLLZyCYlrR0FBmISHWc30Oe40CuhK0eWyX894ddodgWPuB46lwhT8GHbH9zV5nkIaKShRR5i5NBEAqrkH5LAoJdeNunbh3Bv0OZMR/0BB55ZuVPf10SlUOP/4lu1Tpp/lJJBjgs7TXB+eB7RdIeYgoFjJxMJp1O59e//vVkMnn37h2Ke9C1ONhvGGSMYWLn3CHfm9CkVTWAogYXghz6+jIFasgcgo+8ghS6Sqp8QcJ/AGKlw99rDxGv1pYLg6GqlTok/woQqGRGe7nH5Rs0S6OjBmfgd3kpsExZEnkgfhK1swD9Q88/BPFDxPwXHn8tWv24F32szNy/a+/rp2oi+tBLAP93vV5H2S22DpYCMfYlr1pY8f76UpW1TAp5CliEz+WorCbjI3MvnJGByVF4ZmEAOpOtkkI0nKpOVhyHJOTxWRR+OnJBWEiXkUu1UUHaA304fqgXTBLx3VMfatKEKq4L2gfikZznQ+89NLc/4/hfRqvlYRck7V/4tE+93SiLmplrtRoakc1mM/QqEPTQCtHuQylYQoqJaxRy+yVmevB2v7i8QP+VRE77sNJoJoLB7Ovkudrva/+ug36cQ0eZb/61kEeW49ADK9Rj/bMmlUqXjB60vFKA4pyzplhKXiBUre38GdM+dMufh8f8cd6dv9bBu7hUtab6/9MbC6pTgTaMMXD1Q7oWur2TNxSFrg4NWAKtGoWsalglT6N9J9zHTKF8UrBXSwLnO1drwaPz5PA8PICIUGdDFUilNZGiL0Cj8V8LbcrLpH/9/wBSh0GRuA1TvAAAAABJRU5ErkJggg=="
\frac { A E } { B F } = \frac { A E } { B C } = \frac { 1 } { 2 }
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xJfjD8T8CkBN1qoZRhgAAAABJRU5ErkJggg=="
S _ { x } ( \omega ) \simeq \frac { 2 } { \tau } \sum _ { n = - \infin } ^ { \infin } | \bar { x } _ { n } ( \omega ) | ^ { 2 }
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x = \frac { 1 } { 2 }
"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"
\lambda _ { k }
"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"
Y ^ { 0 } = \mathcal { V } ^ { \frac { 1 } { 3 } } X ^ { 0 } , \quad Y ^ { 1 } = \mathcal { V } ^ { \frac { 1 } { 3 } } X ^ { 1 } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwklEQVR4nO2STXHDMBBGv3RCYCmYgiiIgimIgik4EFwIoqBAkCAkECQIr4eNp/Z0pr31lO+ivzfapx1d0O/5+OP8Dbxy9WHchqlZlj7HomZ2W3cCgB4rQIbHDAi2BY8DaXPOZzVCtxMg9linzhYhZt9wybAXbMMUprVIoR0lTdJo9ykNSXrOP555l2SxTTJJauEAePWwAqiDdXro9dvBgRrTuqUZSJliq9ue/B+lAFCSr/O5D4cs1TvzuoDL+9P+F/AFE9bYCWwsNxAAAAAASUVORK5CYII="
G ( t )
"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"
E _ { 3 } = 5 0 . 6 ~ \mathrm { p s }
"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"
\theta ( z )
"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"
\epsilon + \pi
"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"
H \propto S ^ { \alpha _ { H } } f ^ { \beta _ { H } } d ^ { { \beta _ { H } } / 2 - \alpha _ { H } + 1 } g ^ { - { \beta _ { H } } / 2 }
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y _ { \alpha _ { 1 } } = \left ( \begin{array} { c } { \pi } \\ { \varphi } \end{array} \right ) ,
"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"
\alpha ^ { - 1 } ( M _ { Z } ^ { 2 } ) = 1 2 8 . 9 8 \pm 0 . 0 6 ( 0 . 1 3 )
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAOmElEQVR4nO1d67Wjug7W3HUb8JTALsFTglMCuwRSginBlAAlhBJwCbgEKAGXoPuDl18Qh02SOffkW2vW7BiQFSzLsiQrvxA++OB5+M+7GfjgaVDvZgDgI2CHoCT8JcNnwuNKB1tfjI+AHcE3QF8AQPVuRiyEuRpbdZW/R8r++5Ze/+lgADmHvs4z/1olM/Z6jgAcrlQNWgLwqTUX5EqE+8QLeP31MfIfRwFZwRjYb0+T6Y/fDX0HUz5Xkq2tlwbktZtvfSGvnyXyAJSuuDfzi/kivEe+wlzNrQ2ATJfGF/L6WSIP4LZ3UTKAnpC9W54DjytitRaEe4+8gNe/XsAUSd7NwmNQVBdENu9mA8DSTrpKk8qzGF/A61+5RPbXevm7JgBaykN0qu9jz0VC5pD7HUhaieRNqyTAFleX/OvXW3h9gpGv9ahzfqB75Xc3P5sLqDSV9e3Ie3iKDdvbboAkG1sUBQAB6kJEGnzuueijXCZZ8mpeTxcwnUPfixRqmejAqh+Jr2x6tCIpXG4E8nraAqk+9Ep0YWzB6/kOdRmie1R6c8PuLC3adiiRSYbzkYNC3a5EaG9u7dA/hn2uNkBHvu7weiZOt8EqnkB91dCXANpf9SPBi0nAegGgegps2vjoWgAASMms8RqXVDWONZsffsCGVfmO5X4tzU+EjYz0aUg9KgpJD5U7tXbpH0OIKwNbDBrY4PVc4MkQiIglMERELI9SGUgz/s+nBk7H/7PpcwmdeX/aIQrOGWsRERsxtYqBCxbTX8uGnatl5rdlA2bcbJg+kBabtGwfon8MIa4MeAwa2OX1XDxHwJBBu344ApaO1CYxapPxNZSzyA7EfHkdmy5lpEVE5ONjpBF423rJJgba7V7n/hdhiE1i3TORQsTBlaZ79I8hwJUBj0HzyfG/IK8n43QBKwdEzJqMtIhtvAbr+AxEROS3UUNNk3TIpmlGlwcy8+WJEpHeELGDDBEnqWpJcovrPb3HaBKa5tyS3b2Bukv/GIJcGeBbk+vJQmXidAEbOOesRRSEsRjlEaRBG0w5InbjHG2zARtExNu6KtzAeLt0QBxX+2ltThARRYoZj3mZzd1lNHSHiNbP9+kfwx268Qw+EacL2Kp0I1eFQXBuK5qBlog3MiDyARGxZU3TcETEzNAEZBW2NkPE2w1xEbD0hoipQJHFLNNJM//VcNYgLmvsCubqoEF00SbmSn8Hm13vwOPKwCMMPhFPELDH0NLGfam0RERMxGwrEAAYBYcaI8XJ+ucioCWM75RzjLdhS2O1LaFFxBbcp0rXnKEAkN4lHX5247aNrg9SfoDBZ+LdAtaREl0BGz8MHTbuDDS5bWARq9UySya1xlOMt2ETQ8mVBBGR+2tPclwbJHFL1WbXe6T/Ah21j3eHigrIQOWJFW8cP5AE5I4bTdfJHE+qFxdQzmbfkIYx2BvhBZO90Y1iAKADrqG09poiYdHfwWbXOzjO1atwoqP1W4fbb3tjXLEcGH/cl6yvZZVPPuhFDitdbj+xiTo1upcZAFxTBrD4bUekRX8w6m7R38HStVYQ6/U/ztWjOJp0cKKAJQUQ210tQSqAwkukNMG2Z2wwKDRC5YKkeZ0BAOhZECpVTll2D6E2OOh7BlD1DYCUvTbTDCipdr9HHP0dLF1XmsprZOj1OFePouYQlnzlcOpmyZ643FIAzzHRcUJC986A0WyP3DnNRn5LbohIp3DBZOK0GeK8L9j0APmw/B0lQSzT0W5zrKGU4iHcIq32pWs2IPK4fcFxrh4GRyxFwx3XW8PT+S0txi6xbjnTBrsRKNyUkES0yV6cP5UAoPPIHui4CquLSAEgkz3AkqmpcpLn+USpj8+ikGbelGL9VYfXdKr6aJqb9HewdK16ABbb11GuHkVFAeqMifTbamZiWTi3smQ3Rba1nVMxPvESgPi7tmFvszywWyN4rGd5ivtMe8UxXNRNU2iSinFblcT7qqmpqJJULE86GqyBYzs2GrktNLteQq93cZSrO+jQWVUmtw82rsAsb2leM0SK2K3fZNMGm9IWAEBVSZKuKQo7yFSlv738SJLtGKKkUTp+35SO02QyUEirYU3OMTNzFIveNmhldt9t3gcUDukKm/4OzK5VHZt7cZCrTagqSdKqyDjAn3YdNg0wvmF5Vx27WbJbMrz4yQfSsQTXFIU9DEnADDsT3FekNKCssnhveLPJsOuRgkMBn23621hCrxE4xtVmz+NgkxaxNAm7SQcrPA3mZBhsabBqkdQaEpoBAJP3d8Tk9geKe1lIP4HI3Z2lor6y6h/YUvfRLoFou+gg/QWqEiR6M3yMqy2Mg62Agi5MJToNva5u1Midnde4MUs2BwABCq4CUmOUNkR5tQEWEY1KfBEAD9g/j8NL0AjoNNxPlHKeh61AoavB2KEd9zb9Layh1xgc42oL43cW6Rz2nd62m3TgPYGLBnMzDDZ2kfWqhRY/R5TXmKfQXyPuOwpKnX2q8p1lp7iG+lyqwOGJF+AiL5fLm6pJjIOtaH9NM4C+mIZyzExWearuHr9RFBJtVC8wlkhVg1BSMwaGLVdoCfmUnkzriBMCpdR1xH7gMNz1N3Dm6mietoXkRQ5MH/HnCM7GPNgykSUAQMJn/xEBALhoCc6C31eyz63sdcmBqmptMQSsKi/fjOuvNjH0AleFmMc0WVqVGRWyuyS3CxTsjce2PjiMebBdEZejBRaQfH8adgQYhdUuXgVMMejTDAitxBR4BQCA3tAZiz0pTQGzI9XAeKGvzRtONn/wY/Rhp7CM0ebTqkWmfzMMDcb6PgXv/JMyFNQiVrtLoJBKBeOPvyLYfBF4+JX5HLIzjz3nxf17orDB/o+hHt7xrthQKauAUagJ9R2DbiwzArc/OphY8fcX8nkyh+Jtdl0knMGWo0m2k3RwH6YfTDEAkI5NFRTqynS+eMk2CeuPpM188HY4g82YAJjz8w7CFDCZAcB4opXOjr5eG0K9/El3+yxU+xgT8+60TxaXno/di2FUkZlYH4ywBvskGALW9wAg6wZgSVuwHdGrqtzloy4eNPGnqIEfATPv2bu4hXQ/Fe0DBweiDndhCJgkutZyLBfCZo+EGdxUUQuf2k2WKybJpWs4Wk0pxVnOAKoN5bh70UZf6WS0I0maC79V/UlPP8b/Qoy5B0/B/Uj24zA8+YqJhE3Ckc4O254Z12MUk76IvWnASAGMMVZ/LZvVWc2METARrlc7X4wovEvYcgvVvd+qYSO3+x8BfeEyNn3uUfTnKzBTwCQ1bCtWA4CszUhM1HEEfcl2HemUQMoYYzc9B5SquU/JAHJOIU9F5b3C+eISvTDghLBIsmp6XoRazYnywJp7yKB7gH7UAY4aEmot/GeZmfZgn4clKtnZUVmOiCRt14BvFxV/TQOB5s5MnsmmDOolk3op25CKLmtwo6jCfDF00M5NWCmNJO21KMTaaiXQxKfTkGen60TRd0Pwx7gKwBrs87BoMFkwK5CZVgBZUq3WSpTBfO0DdxXmJJu2p1JPiq7XiwbTsmTg1qt1LsbA3GyzOtRqIN7sOLbFOtuscf2Sp238rME+EZui19qJGWVMEk4ZStWxygx1IBARBzrXMwoVIdotqnBfgyUCsZzSeG7MbyUW+cR8fOf8/tHk5Fj6zvcI3yk4MG4OzJNSps/DqdlEN+JnYnaptfSWIJqm4WtRBf/8z52iCncFrIMWRcfH+1ritzJr6mTWqaft8/sCjpVgiqXvfo/wne7no1y9DGeeKvIdFLL6/qoTc21ShAIAJcvuzt8whuvVzhSDJW7tWwgtsmRKt1wcelarCWOnCTBVxKwD6SB9csyjHUvfQ/BONxx9lKuX4cSDt/obCjOaO8uBZU9NpS/plzvU/TIMY41M68UZAXjGjItj2pAee5pzp1WSc+JJktFqJ1SnV+mXDghYI75dGIcY+qHvsXGnY0ke5eplOFHACmcuza/CdFv0k1M18TSXdDbpqfVYEb4orYGZKVGdc29eG632pCepKQBr6QDnGHO4+HAENuhb5EPfI1zEwLHxD3P1Orx2RS4nE6JbKgsdrlK3wrZdOmjNg9HgtzpWyw3WnUkHLWJJB/8Ys4g9a+0hSD9wStr+Hisnxulpd4PyA65ehRcL2Gzxrpa/U6h2aHbOSGxcdIxjgniD+RDCbOTbrTaMGkhr6QD3AP9PyjcF6IfqA1jfI1zEwHFW/tvKN4V+WcM+JTB5wfJ6cWolVtymqkCuQST1K9++uAXJAHo69zS7iYzW/pcTJ8jW1XktHeAc4Jf6+FoUon+3PkC4iIETjv4JV6/CqeLquSnatGmWU7AdZ0A55yk1Dsa21iF5e2J3duGUraogtgYjAnFI5mPCcyVmo7UjrhpbS1xa5/fNA/zsJ/VON+i79QGs7xEuYuA88iOuXoNTBaz1CumwBvG2X8gxMU0it/yBJQrB2gjoCliLiDjMQzqHiuxWB2U4RmIcY94sCB6FMH3vlPRmpGYVsNR6IT/j6jU4dYmUDKA3lzwtGQDdD+Jycw0dqJ00Yi0R7sUZ9s6dAqy/e7Gc8bZaXWQQcq3panXrFT9K0Q3SN8mPuBcK88LRP+PqRThTWqdf1mgmtJO+uXO22Zm45sRu3WPbfm2EffC4Y9VdoMCFeYxZ/HCrG6AfOiW9hUmDueHon3L1Epz6W0Uyq0RN9TJd4+Kw3PpFI2tiKyf1x5/1+4hN0UzE1XWtqpyreaeg6gdzwO/TN8nHIgPL7fpjrl6DE4XV/2WNKA2G3NBKuxP7kVk/Uo4uk+HF3Nfa6af80JBL3yB/Dx2nJKCJn/HzR0/AmT/nN/063FLrDkT/hQD9170+8uVgksr59jnP3Ysh1PFlwqCGzR1/fqBI8SP0j+EUrp6PMwXsm/KiL4vVamdwyVKoo6upAfzWsH3YdffiB38nzhSw3w2VFaOmlaQKDoX4ywP+HzwRZwqYJgDazRF3D/J+8O/CE36z+4MPVrz7p2Q++D/H/wACWbJ1RkyijAAAAABJRU5ErkJggg=="
p ( f ) = \sum _ { k = 0 } ^ { \infin } { \frac { e ^ { - \lambda / 2 } ( \lambda / 2 ) ^ { k } } { B \left ( { \frac { \nu _ { 2 } } { 2 } } , { \frac { \nu _ { 1 } } { 2 } } + k \right ) k ! } } \left ( { \frac { \nu _ { 1 } } { \nu _ { 2 } } } \right ) ^ { { \frac { \nu _ { 1 } } { 2 } } + k } \left ( { \frac { \nu _ { 2 } } { \nu _ { 2 } + \nu _ { 1 } f } } \right ) ^ { { \frac { \nu _ { 1 } + \nu _ { 2 } } { 2 } } + k } f ^ { \nu _ { 1 } / 2 - 1 + k }
"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"
\langle ( \partial _ { s } X _ { i } ) ^ { 2 } \rangle = 1 / 3
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABKklEQVR4nN2VXXXDMAxGb3ZGwBQ8CBoEUyiFUAiFDkIotBASCDGEhEIgaA9L82PrdG67p31P0TnytfzJcirlNb29uP7vAZ/VXh+/A96TOAYBvvAnAF9Qgh5Fq6odNFqozIMA9CAFe5tHUID5AYDZhYgrOb1ZwQLICuh7J8EkGL7kHjaOILjWSLYAZzim1sioOojVGwtQw3AEulFVdYBLEUCSgznqn48TPku2uhA52HWdb7EwxTTZAKQ5PRuAawHAwQzTdIsncCtgytINDzyIsA9XxwglHlw8cW7WMN90L+smyhjLr7L9Isl+/X1WwZO2AWaDVgDYvI9PA+IKyCfSaGPe1uUqh7yL5iykamFUVe2gewqwjHPnMB6EIoCePd7j82FWrf7fv/FhfQP3ulyXeOy2bAAAAABJRU5ErkJggg=="
\tau _ { 0 }
"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"
\vec { \omega }
"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"
p _ { T } ^ { A } ( a _ { i } | x _ { k } , M _ { k } , \theta ^ { A } ) = \mathrm { ~ L ~ a ~ p ~ l ~ a ~ c ~ e ~ } ( \mu = a ( x _ { k } , x _ { i } , M _ { k } ) , b ^ { A } ) .
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s8+qYeoOelfRdSeEpA7m1NNyaT9H93nuKwpIMOtjxx4a5AK3Eb59q/jmsoymLGACQUDnFmVFzLRn9pze3/c7QrxdJ9ZbtVtN3gsKDaOpUp1/DDdmkPesYo7vMiQ7Ull0OjSUCzWI8JY4cr3TsMJEBVtGU+cIJXEZZIhQFLsS5XYWzDU1wa7WaSEefpaqaRDcranQTevk5y/2spu8UhQfR06lOv4ZbskV71jFHdxl22e5U4YEog8dQEL4CIv1JrJ2pd0RW0PTlvMPJYmWBC71o6ViV8xAsHJqyTOD2evpOUXiNYPQBDY3h03U3M1V2yrgswL2YSohUdTTKx7CCpnfu5K/6i9coSQIoa67R87m1dyEUa4/ne/NADSNYTV9jFO7X8LP5Zt1zhhwsm7DHFQNRvhoufLH8LM0gVtCUluuGYWvFS5yj5uUAkqS1iqbYJE0Tslo92Tmspa85Cvdp+Ol8s+45Aw5WjN/jApwY7DehYOk/hvB4gaP6rKFpGflHWmE1XTXXWiNn2norppHOyQ0jWSTqZx19Jyu8QiRTj4Zm8em67yHAwCaXiKekaV+QFAW4tjgxZkeW1/Qm/6fhSS4XnHXqWtLWafBpRB5LR3MsMyJZR9+pCq8xyurT0CQ+Xfd9RtADDtaZtop18dI7AATeHuc4bsmKmrK221DhtXtuK/wzjbC4f4UYv6fcy4L6TlZ4aZ3qSBqyuxMClIIEpvjcT9d9Xf260Dm2ewKeB87J50bAVqynKVVG1ahoO5xCnnsAAGkkHVq5GM+Fv285facrvLROdUoN2ZkCDk84gPPNkIyyT9d9Xf062SFywaLDQ1mVVRFr0m5D5/2XrwC3LMuuZYiMEzYvNYfl9DVV4VLDJ4EDOHDiOD7qUW4j+VrdVxrBWmZzRjBx14zzfMrMTtxxgDQCud8BQHCzEhZrLKavsQpXGpKb8wtxDQE4Ed9h4ro5X6u7dbCGcmZk6q7Ze0kyPYvgSoB7HgxiOMvpa6rClYbuk1A4z7wEKMA/fynte3W3DtZM0qQ8+2w0+ZJklCJPCDQjGnSABfU1VGFZQwIqFf/8dB/z1bpbB2skaSSfz6iAc0USOcszmihc8BNzbsfpvZ+vb0NDXuzUUYNPq1mKb9bdOlgTYWeE/XlhXK4Y/FN+ij0ADO49ek+Xj8Hn69vUsEyN2K4y6W58s+7WwZoI88WMtAUKJ03g3oavNIXP17epIS+rJ3xyOc+cb9bdOlgT0fE3TlWez8el6KeCAKDgictZ7zm5RvH5+rY0pIVrER8/ivtm3WEdrIEwXwSD47nagqRbi29iQHxJo8Q5SBbd5+vb1pBVg7gPdzLfrDswXE3LsjXMF+67R1LtYvMyFI8LwhjnY5Qv+nx9FRrSap9Hv+D1Eflm3QFYB2sczBfuuwxU4k8poclAPAAXT/h7Hes6hs/XV6EhLyfHH74M+c2659glArPgvgD7r++KoRD6otve/nF/p/TrEXy+vioNKUjpZD55EPfNur+xI1iz4AOjsOFpcDHNJjfCVPWqzeLz9VVpWI7duPIsho/hm3V/Y0ewZuFl8v/a/XO45hoDy69wL5HJkaE5n6+vSsNrse0zpZ79gfhm3d9YB2sybYfRngQ3p9AXUSQihu7ROvDn69vQkI8+s/nAfKXu1sF+Gq7y4+dyaH3pAWVeiu/Q3a7BfgBm7p6vx+fo+xUb6R18h+52BHt44i8omSHzQfp+xzKkmi/R/ScbvsZisazBOcHXPn9forsdwVo+nHPxgbgLhQWlWCgr1433H4wvbh5N65ig+wbYEazZ0AQ3wzuiYSI2xWH/qs/ksoRnFL+umTW9dVjdPIe2zvLYEazZUGp8LIshIvIiw70hjkDhUeidR0uMPZMjbrJtZp5DWmc9rIM1mwNkuxghIvPF+wjopjgc5F1N34t9dp7vQdJk9ldsznbmOaJ11sSGaZnNAUpmGiHiWeCef2qKI/2fxBBzS26Js4n5uENsZZ5jWmdNrIM1G2rC8LAfI0QkIO9TSZriyOGWZH4MbXLIEdpW5jmmddbEOlijoSCmVxwyQ8Tb4y93FC1xZI/CMbuA0yXL+k8PM5KtzHNM66yJXYM1GmbC6LAfQ0QshGiKUyubn8Az4GWwB9Y8O2FHsEZTTeDuu8rRgxEisqQ4z6ApDqtKioiI4zvHV9Y8u2EdrNEUz4M4nUz1sCaIeP53ThoepBCn3MTh6b8UVyNG21tjzbMfdolADaMCrrd3fCfn+YyOnbipxxcZIaII07ejaInDcP8pLgsuhhpxZax5diSztHnm3ZHEO8txg5dlWXYlCF47i9KFGSI+QTrEkbp6+LfMzeL8HgdiS/MczzqrYpcIFDCfOfEtdkWyc1RfPqGLInExKRm1hhki0uoo6Lo4DMg9yetC0n9VlCeNfn9+/POkY2yPx1jzfJd11mVP724oLwdhlmVZFgPXXSVxccv+XDjPXaXoxQwRA1zU4lzgFtc8STm2ehUJS2RK+x5vjDbOPN9mnVWxDrbNFc77k1f1v10A/m4GLw9kmSkiEvypxQnf78osy7IYxVUBSPyXZTcPeIy/2fFcyDjzfJt1VsU62Dbl+z677TvCf8CJsbOPH8AMEZ/FK7EljiPNQZ6Fw7gC7yGcV75LR3A4FzLOPN9mnXWxa7AKvCJahbTP2NsSCp64hJ2Hr9wNM0Qs1xib4gg59b7cI08Qv396ATc1/G1Bxpnn26yzLtbBtrk9pHoYe0auMCB+XpCkO8owgBkiluHzTXEoSNWW9H2wKeNlVT7XwdzqLwdglHm+zjrrYh1sH2zfPHuKxwVhjLO53dwMEaUhWl2c2sF6KRw3v6iK2HW/wYWMMs/XWWddrIPtgyLY8e4MxANw8YRvahFjM0RkwnGEUhzZg5zpOxNUSNOSbwitH2eeb7POylgH2wPd28Hm3f/mCH9HMfowQ8Q7nPNJJY6gVSaonyDM577186KnLLLvuTA/nnHm+TbrrIxNle3hjGDP5OwizpvcfBZddxSkGzNE5KA0VolzB07VZfFlmdvNnTYzzgB47laJGdua52jWWZnJI1j/5+fn3v6RqXPZKZwZqfuMjXVmYPlXuxd0dbedm0FHxPVlFAgeF5U41VjK8S5/agcy/kEWc+pS0+i/f6ckSRL/v2ijTKk55vl866zN1PguD0V+s/yjYGbU2B6gSBdscAVu9Z9srPPzUcrVmSe1czPoiLi+jJUMOuJkHqoaExtHbf7VZkRkqeoI/Ywzz7dZZ2XmrME21ycZzKi9PA4BKKcjaYRLewV2S52lal59p17t2QyaIq4sYyWDljhEGmJtO+NKfingxI9X9rw6gEg3GaWNM8+3WWdlJq/B0vYjIg7pYDuedXZG2Cw/bKDO64nEecebZzTzZFxOjgIH1ZO76YmNUQo4ec1V1w3PyRINtbh5Pso6BjBx5PvX/tMHpmTW7c6ltRKQZVn2JFKW9hsDdV5RpHh656gzU8bF5Ci5VSsWL2Xjr0QIIJRWo7wlFFvcPB9lnf2ZukTA2++XY64QqDQBmC/C1qa4gTqvKJK3VBjkTBkXk0P6RlHsud03bL9zCoRXabAZLDE+XNw8H2Wd/ZnqYGl7GWeBIzv3gClmWMwXQTvoyECd1xVpme+ZL+PCJiYhknx1UZwRbhUORBOg/tIOs+ci37yseT7NOjsz1cGy9lOz92huGoK135TMF+67sam00G6gzgaK1MI8GWPCfAqA+oIsFBs7TAS4ZgYzN7DWWZIZDlYx7zvgoF71+PvCfeSv7sRPa5eaprOBIrUwT0bnRpj/8/vjM/LYaoiWcuAYHsRaZ0kmOlgmquN+3yj2ik3jPRoVci5fbQIrAID7Auy/n5+fn58fuQyfgTqvKdJSis2VcQ0De8+QgIOEz838fAKEa9xsBfN8kHX2Z8DBnnMfw6Pfn58fv3JMiiGIYqnNKKj/8/sPoNF///k/v0nxY1ZVbBNRBAC8I/rPQJ0NFKmFkTI619fr8XpdN1tAv3OgGfVnLNY6yzEQB8sBFzjn7ojSa1j9vGl9vvtT04eI7gCYOOUvCX4uGpSVYwB+YkhDwMtqf1h+MlBnA0VqYaqMZNO5BwXCI20BW+ssxICDZYAnThRwHFAg8t5moAD1W5cu99Rw3hU8zcSkpvcZXAb8ChI4Lk8Zkvj9dcXjf48EwnbqViXG2jpPwECRWhxBxvXZMuLpeHywdfodrOBwyT8GcgkB4TOk721Fpqqas2Bx6jQfM9e9LM/XULP25cMI9+r+cog4JgCCXyG4A0g7MOck17KbtXWegIEitTiCjKtD9874M5pPtk6/g2WAFzG4NwcAiU/Fo6Ku+Li8jTRLn/HUg3z4RfHXAqDvqcfFI+BvRQDiUtQcrDhRuNfeYdVMnTVklBEK1Z3mZVs1QwdckSvemnhsICObnTJfiaPSaRKNscHS6b76qHrSOKR+t1Sp1/qDsKN1VqffwVJApChiloLS4zHAbYTI3dP9Qu55knT+7r2okcvuSSLmH/OSw+zEEV7623imzhoy1u6mqF/dKti5czOkCo0eqoislWU8z37sq0mRSqdJ1A3Ba4X/oiL2b9JkbCSqnjQOqd8tVVXde8j/29E6q9PvYDlwL/0rUC6dMenk1TfN2gyUon2RNk7c9UqbPsSQg4Po28EKDg9IzkPLA9DSeabSo9ERqZsULZV9tzaW4FKUmnCHDKRmUEaFGGvIsTvSmK0YU+q01JeYp8c6KgsciN5KBQ4AUpaO/ENRHtJpV4EgtaqqRYSHs0mxiEePfo/yqrCS8K84HP4G3F4B4PaUD30zqHO/0noy9l4eNy8aFqmHF2nX+uzrKK27Z6rAmpYqQzKqxBgpx/wXWr9Ok6gbIpblfgFwPKJSpcV88/R1PD1ivTuPoa5Ur3WUFjgOvSNYwQFUK5Nl+CJvx9nUw8mjFHAJBOOnds2U5XGuTsdDRoW8flS+9VmxQsAA/OPQSFkZ1HlAaT0ZSzyNvjwsUh/J7JXLi0Yi5aCM88XAfBdSoaPTNKqlUArycPErdEIp5ptHpydps9qsvds6C3SQPel1sAxAUEUu3YtnhbU3XGqRN+cUwcUBQM8s9aacG5jyjmVvztF+BJzOOYTk04RU3FJ2sCcA4jz4GhjSeUhpLRnHMShSH8rFRk/e3U/gSFqwacumQzKq1zyXl2N/qqUt90FcCK1g4K8xT6d1FlsU34u+4W0MkGoy9yhP/ojbB36E0ii/WkrI/si04qR9M7Up35dl2Q24Fp+9YgoHAMGfI/2qR6I+nZdQeixDIvXwitGcp7UYvECHfhl1xFhGjp15AHg2f9I8R6fFt5in2zpaFjCa3lRZBkhb6wmK1WbWTs6Rd5DSqnCDE4I3zrvbC3ngVHymALndnBtBNLQTPaDzHkoPidRDT0jDsvTLuJkYe+MBSGs/0UkX/hbzdFvn+BYYcLCkmtieKch7YNl+jIWcEHlHUH4OZ53j69WYN/uRejQX7wUICjyCPI7oNBCdMKDzgkprMyRSD5cFt3N66ZdxMzF2JwTSWp/QcbBfY55O6xzfAn1rsFxAnIsVzzQB3gXHKVqP8V36EZNP8nGm+Zog6Op9U+OmRVV0oBrMFpVeQp6IU+9G14DOiyg9kiGRTOAIMi4FTxhzvEA9gwhS4PSUpoOKof1H863W6RvBMgBJJABAnCKUmfqsneoo1/ysr957mBK46na+3adWoaBQ7nG9f3bxwKK+Px/QeRGlRzIkkgkcQcaFSH9T4SH1z8rfejHAf4t1KH4642NciBZfa52+ESwDgPQekHxJsYw9UsxuqDyYaxjHjMN3VUuwUmHC2z9+P/eE6AzovIfSQyKZwBFkXAYakZsH0FNClJPamDII3/VcwjnLXcmnZocqWMY656SdzWg6Aw72ljCRLz9XqU6CtrRn9WQ3E58g+VEvFgZ5VY2Q3HyRuJ0RZRo6b620jkh7cwQZFyLBzQPgXU+J0oWQR3QHWLF0RMJPrc+n5Hut07dEQEGCR0wAwIn/yu0uxSKa+etqglXxmKWvpVLmrXvpy3E1UOe1RVpiFXkJGbfYLpyPoG7eewKnY5eA3KqUneD6uizUUIcwz27W2Z+eESwDPJDLhYl60H/YDplfL/9lKYiUg1KuFgSyTw27Mq0AI3UeFslXFAUUXDfvaYkEmiXMdoxEHl72JKfrRAyEIWcMcBodbf9mWp0Z1pG5eEsVm9mOfgfrAPNrIxv3MirjhOpbaYtuvZig9FK15SzDuKVD7PN4jqNYhPqCZpphnRp8tjPanB4HyxfxOcIIX1Nj/aMKl1OaUQHX26uUqN5lq8s4ZZQ2S6gZBZzkcMCN2No8+1nnvu1JNkvQ42CnHk3nArSyAzPupaOXBT6SdZRmEQMAEk5ajri5bTevX+2Raq7vzZNxOTlqzBNKnHWK/tEEt7aHSkZ7n22aqcYs82xrHZkTHajZbCC9SwS6hZnqOHKQkoFBOasMYFdRmvnCCVxGWSKm1CRTTbhapyJ0EnqAGO4AM2VcTI4lhdIr4ESp4vkQ6ejjUTdpphrzzLOtdWTY5YBpXZ1VCh7tMh2aEOkPY+Bv2resRqxZEGUcKyj9chAW3zdYjGY08SJFNGbLuIwYdWYKdW3VF3nEcbtmb/i+SY1g4b5lnnna1lGaZzHrrGGBDekO05o+DAtwL2YtIlWdh7Iv66ThraD0nTv5AOPiNWphmIORMs4SSpwVKX1J0p6zq3Zczvfm+TgGMsc8SuuozHNY6yxMt4OdntIYA3mCLYQvZs0JVmHq2nI/KyhNywWr0NhwRyNlnCVURwGn9huTtp+PNCFLVv9eiTnm6Spv1TLPYa2zMJ0OVkz3Q04M9ptQsPQfQ2jcvl+WZSs42DWULqMHySrBPIt85XwZV9BsjlC6BZxo++zxNNI4GmMsZplnD+scOo6tc5NLxNNTGi9IxLuqwxYnxpjB8krf5P8svqqxzHhztoxrDHsXN5yn+Jp2wFEakcfSr+6jmmc56xgzL5pGp4N15qyWXLz0DgCBd+gDIcexotKsPR6YjRi/+9zLRBmXFqOOJBS7OyFAKUgwRU6Fgy3cxT2PA0gjLO5fNzPPTOsoHOxS1lnXAuuz2vbZ32P4pNaPYyWlPdWWrGEYKWMp1NMD8Hif+zt01HF741rxnDjvU4deQf591zVCPVamMM9M6yjM8wnWWYT1HKxlMR7Kk73NwkgZS6GeBA7gwInjePjENB0H+/f+0dOB88xkD+IY+KJRU5hnrnXa5vkE6yxD76myFjM4o6MSvEEYKWMlFLk5vxDXEIAT8QXmnO9FxvQsgisB0gjkfgcAwQ8zoS3NY62zGtbBms+ZEeO3Co2UsRLKfRIKJz+UxAH4/LXSfJExSpFnF93zuJtDUZrHWmc9rIM1njQpDkMzFyNllIUioFLRTT0PwrkiZZWJfHBG4YKfmHPLv+uAAZ6SeaZYp9c8x7fOUlgHazpphMtQGbe9MVLGhlC82OmmuuGHXK4++lN+ij0AYHDvUT4BPiZ184y3Tq95Dm+dxbAO1nDYGaFxyXANjJSxKVSZWrRIUVEKJ03g3oavNJSGeax1VsI6WLNhvjA+V8NIGZtCcVG4EO1akk5Vb8/HpfijfAuIgicuZ33nZBpNwzwTrNNnnqNbZ0GsgzUaI31XAyNlbAlFC8chtMdotRVGtx4jwYD4kkaJc8xMmqZ5JlinzzwHt86S9B16aNkb5ovAON/VwEgZ20Kxaoi2zCT4cUEY43zITM6Weax11sI6WINhvnDfzwHVLnG/MUbKqBCKVrs4+tWsu28A4gG4eMI/xKmDddrmsdZZC+tgzYX5wn3XH0p8Y4qt1jFSRoVQvJz6ai0yDgVtFl9yc8TxDjptm8daZzXsGqyxcF+A/be3FP0YKaNKKApSupDBIdrwxLYYq5ObzyLjFkj6UZjHWmc17AjWWDpPkDcII2VUCVWOzKr98m7E4EmtDCy/wr1MLuq5FwrzWOusxk+2twQWLY5Qss1IGRtCpRFeo8WkPh71bXJRJj4x005NHkfdPJOs0zLP51hnPnaJ4CCY6LuaGCljQyg+8azkOq7y4xGpG8NaZ2nsEoHlq6ATn3kT10KWZ6p1vsQ8E7AjWMtXoZ+pJBObOTpfnGnW+RrzTMA6WMs3Me0oT29w5+czmHjQ6beYZwp2icDyTdDJh9F/A9Y6i2NHsJYV4QljjmfQWQdubCez3VjrLI4N07KsRxrBcThHbMsqWb4T62Atq0F9cvMAehIX48rFWixbYB2sZTV8msef30/ktbcsFsseWAdrWQvxn/vMP/3y59dHnFu+EhtFYFkL7hVnPjk2EN3yndgoAstauOVhota9Wr4Uu0RgWR3xH2w3s3wldonAsjoJ7NlMlu/EjmAtayN+xd/8c0gslgNi12AtOqQzBqGRiK1//WTOxQfimpOzZwh2BGuhCW4DKZLit9qxGvtV56SI1rJ8BM1GZv+qz+RiV4Nq2BGshdLBKsuJZhyA4qvShGj5Zovp8OLk2UYjCxQOl955ZNfba1gHaxk+hylNJn9VGpGHrSDyATBf3PK45mYjc5B3wLMX++xsHayMjSKw8IEioOIcTf6qNCIPm8T1CZwF7vmnZiNL/ycxxPCps9+EdbAWOjCCTXTHr+2vSiNY//oZEJB3xZ5mI8vHIBCbVVLHOtivh4L0b/JfskyzGFbzq9IIV+tfP4Pb4y9vylZ/kR0uB2zEiIx1sF8PW66KfeOr0gjXfEXuV3uRwWIq3nspvdlfmHzOTALPOlgZu8n19VQzvHvQe+HYr0ojkPsdAAS3+1wHh1ER5I3b7C+sOupbnDls5d8a1sF+PcUDI6L7baaHrX/VHRB0rnQWIzgngFN3sEV/Kfe4OE04rjbVoIZ1sFvAqIDrmTmK4zyf8rETd2bO7hpfZcNftTG5gwAARJi+/WirvzDcf4rLgsuhFgi2MHtmWZt3sWkS7y2Ikhu8LMuyK0Hw6rwozi9a4qssLczuIDlPkPxDq5ElZxL+7SbfBDYxux3Brg7zhRO4jLJEXPeWRUE+44tS6J2b5StCDgR/TPkqS47hHSSnDBVoNjIDXgQARJqk9zIoj94ph+eG5o5oNzL7mt7bkmXZy0GYZVmWxcB1Z1lUuLhlfy6cZ99F1Qi2rxdpfZWlgekdJCfAJf/QbOQL3OKaJym6yatI5yLGarSR2a2DXZsrnPcnr+qKBgH83Qbn9HoOVuurLA1M7yA5BO/pf7ORw7efyrIsi/G+KgCJ/7Ls5gGPbeXUZiOz2zjYtaFl9YsQBmYRUjjpSbhD5bRKbopltr/HpK+yADC+g+Qw8d4BbTUylaJgA4ADQHrH4+IAwcODqRHQG5ndOtjV8YrAFQKYF7VEwROXsPPwlTmBYlHN8SZ9lSXH7A6SUy7BNhtZyJUJir6RIH7/8AJ+30rGkWxjdutg1+YmJ+Obt+TPgPh5QZIa9VXfhOEdJKfMLmg2MgWpxKcAAcB4OTp0HVNH5RuZ3TrY7WBDSf97QPG4IIxxnv8cLPhV34mRHSRHGsHWG1mu9II0T0agqCKqXVMdbMWqZrcOdjso5qaiLg8D8QBcPOHPrYK04Fd9KSZ2kBwmHEcAikaWHeyZ5omyQhoRmvrGkFjV7DYOViQoC7GtCi0b8s6AwIwqU8XzcfvH/d6DXYZXqbS/6mB8dwfJucM5swfajSxolSh7pwhDoDGqVfaczWyqQWX2New+zcEyzgB47gfsFwufwb1tcaczgvc0y0sY0s46qZsal7//JTefRd3x1jrTPM2v6riBsT3KvA6yAxyUxvmHnKKR78Cpuiy+6H3ddjbVoDL7KnYfH9n1CMun4FipcUoCwClj+mKslzYXg5T3ebmAqwwXXdK41ziOh2JSvVKqa5/uLjAY3ar5VQpmKa2jZUmtEokT69zMnA7iAbi1f7RF2LGH4PH+UG/kanLteJe/8urKSnGRYitTs6kOK9pdNvsKdh/tYP9qfZQc3cXGACkTj17O/Hbssvy11kgvFwjaFy1r3Fjj/fl8lNLOzb+a+lUzldbRsqRZ6mk4hcegDuKh5aw8ZTdanqpldRq57mDbVSxqNtW6/Xp2r5t9ebuPdbCX/NX/eGXPqwOYm6ihx7P2cooxux1fUKeFXFGkGr5vTBo/yLLFjXtpdwwDmav0sJZ/1YPlAcWTnd/tpv6TEpM6iAcpaSqHGJldG0hyhm0H+9Swe5317N40++J2H+lgQwBO+QSMGjwYiSu33BUD7fj3eDwGJgYP9Vc8SbONbgBpjNWWNu4DWjWw9mW20kNavjxpuERqzjhEmS7ZhUkdROGXUOSmzkFD6nHIo1avra471l2uZ/e22Ze2+7juHAIIJU28gzvYS319bagdNR7/i/LlrGjHLGi+Fxc37hEc7Hylh7QMpVb9q1/7IkPPiUkd5K/95Y/hN4QGi4+TbtVr7NVW9zJ+AXYtu6vMvrDdR1k2RuPeV4OrU2jwItWE9C8P2OttRw27hqqVHmU7/jWe7uWNewAHu4DSQ1p60lLrrdHAQ7VIjOogCkUv7cnrBJZx0xKSV7221JVtqsOKdleafWG7j0k0oAkQ1uJvwuzQAY+pqBKShRPr1K4cuoShHWnEfBG0w5acEJDOw/444+qwhdIBEBeJm7Xz+TQwqYOAtoVf7AzXZdMBSIgkT0MQZ4QNdWWb6rCe3dVmX9rumo44y7LM6VifPyxO4106tJY+PCR8KV5tT1JGfjz+6tdKb8oVjGv+CHYJpcdo6dWHMS8MBNuY1EEyrz3Jdas9uxks30/+CNxHlmUPV46BymnaVIdV7N5l9mXtPmIEm3LA3IrrE7jzog7UYiiGSMwX7iN/eSa+XAeFhED5/48zrg6bKy0dgAoASXUWtRKTOgjA0DpffeyIfCucG2H+z++Pz8ijYeAVbKpD21KdZl/W7iMcbAKERjanJrz5gaIs+qPHcMeoTScEAHBfgP338/Pz8/PTKOQXAmUpt6MbdxLbKC3Kyghc1J4LlqD/kGmTOgiYqL8d8i9bwlet4O+8Z0jAQcJns31H21TrdoNXtOzeY/ZF7a50sOf8njz6/fn58d+5xHc+0B2Nhp5+fnOjpf/9vmsA37F4lQdWFW8TUQQAvLvwieuAv3NQj23ciWyhdOr//Pdb/IfVls6Sf0Dc+6AY1EGUoybF6qApONfX6/F6XVtLlSvYVIeW3XvMvqjdlbUIOODmR6EDoPQavr/V4BPMhog4wPKWFUivAMAE3KUVYuWrjZ8Y0hDwaoes1Fs1SEDzljq2cSeyhdK1evoMIEXpEXrnQ7nzJnUQ5cYKN9fBAnnZrSZr2FSHlt37zL6k3ZUOlgGeOFHAcUCByHMA3FeZS3TAeVfZDyamSCHgFiV+guKZW2iCJcPKQm33SCBsv6rrSrllFZXFjEtZ1fRShRYKcK5ZiWMzpiutrSULnKS6CQPk2WA4sD5hUgcBKED9xrcZ7WCVrGBTHYbs3nA2C9pd5WAFh0v+MZBLmBe+SS8AFVuaJs1Hz3Uvy/PF045z93ohf9R/W5EUb6QV3v/levg5ya3XT9mOyxmXJvX//kj/MczBzlBaW0v3xpKqleuF8+J4oHSXQR0k/9N2TTNjC3R3sdOgez+7qxwsA7yIwb05AEh8AkNumc1ryWkWQ+epB/nkiuKvBUClSWguPi8WgRYLIpTumLejOFG41+GO5BQbbrsYNzdQk7bLW+68Iqdm722UloZMDAjez5agKZL7rb+JDOogXa2w0ZBndhcgXRNuzUd3LvvZXeVgKSBSFDEMAQoHKz0NURHGMGU4uTg8STp/571bqXx1pkWl3xUmWHn1YXbiCC86vsOjYC6WNW7V9oLJXVe031ZnRe9p39NvXzSR+pLnLKW1tZR+ywC3+Lsg9AWP+pMaDOoguTCNKcg93eq8gNldwHu8PzRtqvPoLsB+dlc5WA7cS/8KlCaRLFN040FPnk4LynDirsEN5+qfD8HfT7NIi9wSvXNNfLc20OLSIp5wG7oJDg9IzjqzkPJv3v9OMK7KthepM1Af7qN1hUn0Kk0p0JH0M0JLWluCrW7oPv6BpZIB27czqoOwti0SzZGUqp+MkXpJljtMyBy793RUKDO5HMj1Gt8FMmrJFC8Ajkea+RXthIsX2SKXqM+LFFkjRYWfuKw00S5zp0oY6WuD5sU34PYKAFc3zaPIhdcw7gTbDua3qPpE+6o+C4yjp7e0lC4CfJyhwnb9Wj6l4nNuXbtQrumpup1BHSTLnHY+EVHloWn2kzFSL9AFvOqb6jbVeXTNtvtAR1WMYAUHUC1UVEFf1eyLgjxc/IrGFMptvVKTTY6/c65dySFUFIN5lg/raYJr+dpbYQsD/zha2SuduNUcfci4a9j2ovUNyw2CWxOrbqWjFHAJBOOncE6yl7QEK1jdgkFa3b/jduZ0EN7eHVJEwGOlZ3B2F5DkrGuh8+jOZ0W7D3VUhYNlAIIqkOFe3qGanLsP4kK07t0SP+1eYOkn5R0bIJwrNsOdznG/3HgEAD/JseU6e2ievGGYwJEiPFizB7D8gCJx1nUJkgBDxl3OthV6/mPFjZROpc8pgosDgJ5Z6s2ITG8swcq/knYyum5nTgdhzS3CriVizX4yRuplu0DdpnqPrvL3Rth9uKO2B7Ux5AoNj/eg/oFmgYNHawr1qNdxeMWYWkaiL8Fn0hdmBLcse7nSiTvtrxosnD6gDgAEf45+lfliJqJh3Am2NbzYS4/SUt3WPzJQia5fS6kgXdyY7FU17jpuZ1AHyeL2GSWhUpgpz+CG/WTa82us3Yc7qiJVlgHSTlvyzh32UKuAAI2EsZ4Nwu0RIMCZkWqBYPEQIQqQ2825EUT6cS0EmGJco2w7jR6l06oIjBOC3zEVJi20NEd81epBx+0M6iCNLN/i24ZHlqb1k11ODV7P7sMdVelgSTVuP9MiqikE0trwftDBXvpHohp4NeasyTDAQ5RKa8u1aOJFoMAjyKM6TnqxDqUJRxt3vm33p1vpOwJHump6M8kPA6tP9kRaZsV33M6kDtL2pkIrTNe0frK4TXVYz+7DHbXtYLmAKEMe0gTFplAA4CStlycK574YQT53fNT4y7Ise01bcBcgiFJcpFUSR14DXIJivS+MIU46OwtVU21q3LXg0b+f3xFjhE6lGZfeLs48B1tmvrP6rqHwRREV23U7gzoIRas/3Ns/OgCL21SH1eyu0VHbDpYBSCIBAOIUoUzc9WKA/5a7a6dz+97L4XYO35QlJIZhcKMUofw2n/Xkdtwj/3DxwKL+a99/UPzFYsbtKRKkyttakvQ3FR5Sv1n8rZNOpesbfF77kdTWksLj73SK+pzg/o+BvGd3XbczqIOwdnamokzpAVjcpjqsZvfBjqqKImAAkN4Dki8pVLEHMWUQvuu5hHOWd9pdVlQmIUCbp5N4qjy4Ga0vPfW3f/x+Hk79l1YFlzJuKtU2EQArc3CYwGPVB5JG5OYB9JQQ3Ulpl9LN4Xur3+pqSYEkeYfZUykYnTEBkEcVfqi8nUEdRLFiRI84gFXbVAcj7d7Rc85JlbSodLC3hIl8+0HOfCCP6A6wQlMSFrnCaRVrWtyIg6+YDjIBjqZ/hUsE4/0P8thbFC1Jbr5I3MHoIqmcVJdxJ9hW7sBiuUICQyS4eQC86ynRdbCdPUrDd2hpyQC8V8kEbWyp1XImlbczp4MI2nrfsnqm8RGeQUBlUx3MtftwR1WENJDslRcacuJGpki1RRRc5b/o/OLYlEAhTxHoEUpZPlmWZZk7cDjlszcaJJYPVL/CGzyauHEWptK4Y23b59tGH4U0hld5upYz5pwopdJxrVsqTvLW1TIGCd/C1F6ubnD5q32b+nbGdJArWt03Ri3oaM4z2C/1wrRsqoOpdu/oOXJUWWsEywAP5HJhQhHqH4acMcDZ41SdebhuO1k4SJHWHtWhA037FzEDOR851DBRo7j7Isb1vM4MjQUzY1TfXyrv9BWLbzJNaV0tL0Hpv8MJozljOohC+MtyxSc3ybYsaNlUh4PZ/eJV1XFUDtYBOoOEHKc9vr4671066r9XwJjYYa+wF5VZPIdzutyror4xN/y9Im0eT6Qw7ljbdt62mY+yNFXBlZHPq6pHNS9p/kBby0m5ruV3GNdBujnCMwhgcZvqsKbd6xQ9RwouaDlYPn5zsi3MQeqsxxGSkcou+LZPdE5M2cK2jAq4vcerjqGZ8j//C7fdzJFvd4AO8mZmP5ki9cRuM8GmOuxk97oIxV/dq1inVpiWwQepLU5AQMdkCdElY0z40JmmG8H+/TsnyelXO7qqhPq+olsn808NdWt7WGztDtl9u+/oIJOkntxtxtpUh73s3tFzTrQ6LEOxRKAo0fOhkEuE84h3cOgBYinrRGacc8h84QQuoywRY6tWUaroKiKd7xVq0ejrhyN13+47OsgUqad3m7E21WEvu3f0HHaRHoH2BlqzuIE+j9ZOtTFRBB24Q1UkVuNaK6kzzEq2fTnvaiixfiWMgrAqpFIRLGFQInXCGPjruXQJem53nA7yZptncE632dGmOoyy+3BHbS4RHDN8eTJXIFl6vqIFOwNDh+5twZ07+Qjk4jUqrwzDFXP38715wMYUAtyLKZ9Ilzw6ZPTtvr6DqJnTbfazqQ7j7D7cUZsO9pgJeJNxL0C0fe4eRCQQmLACS8sV03D0MhZtd5U0IUvU546BPFkbwhfrL0T23O7rO4iaOd1mN5vqMNLuwx21sQYrpuxxnYuYROmE2/J8+u1SiSYR81T4j6239YTP4GqtXa1u2zJEkADjwmdo+/DiNNIvGt+HEyfsN3Y9xhKOcPU3ft/tTO8gb7Z+Bqd3G+xlUx3G2l2jo9ZXDP7iePzyiPreWZYps3AM4+XKB5BteE+9hcXtbPsYu9Z5aa3WX5ezZDUYUKzzLk/P7QzvIG92ewZHd5ss28emOoy3+2BHbYxgneXyQwAAYsHdvXUgj+0nK+KyROD/wrZl7QHp0B8UY5B7niqQRlhsWHLx0jsABN4m+fQ9tztuBym+bNVnsOo27O6EAKUgwZDoe9hUhwl2H+qoPwscGkpJ+7Hi/JuWctdjO9v6dOTpgr88TxkS0f0WAEgjXBf1hpwrlF+PjW+3LLs9g0W3YWcKPHjCAeA24xS1A9LXc5ZwsJYPoEyx1IX/IgMAduLOzZX966835xxYy5Eoug3zhcPhcCcAUuH87S2XMShOlbV8I2cE48Y774zY9CyCKwHSCOR+BwDBzV4UsixI2W3IzfmFuIYAnIgbvi64IdbBWoD8OMhxf5EvwUYp8rSV+6bFZy1mUHYb90konGde5RTgx11sWRjrYC0A0gTXkYMOChf8xJxb/iwtEf5qORhStyGgUglJ618LFKfKWr6ONKodB6kFg3v/x4KnfZa+lnq34UUOKD3QUVKrY0ewFrBz/ThIHSicNIF7W0UgyxFodJsysU+VQv212BGshfliZIQWAAqeuISNL3Jo+RAa3YaLwsGuXl/ySFgH+/VM8q9gQPy8IBld6sPyGTS7DS3cqrAjWAnrYL8d5otgQtwqxeOCMMbZzJwcy8q0ug2rBrDWwVZYB/vlMF8U1S3oiDOcGIgH4OIJ1akGlk+n3W1otce19vlvR8I62O+G+cJ9F8BK/BHT/WKd7eYIf+BSy+fR7ja8XBiwS7AyNorgq+G+APtvyh++/yU3n0U2M/bLUHQbClI6WDuArbAj2K+GT53fM7D8T92LjXr8OhTdphy3VtEEFthiLxaJERnkTJRpO8zOCL+berdJI7zsK7fELhFYSkY8F67yo+UbqXcb/kXHUmtglwgsFstyUPvGlbEO1mKxLIcNIqhhHazFYlmMKaemfjLWwVoslsWgsEEEMnaTy/LFpNjkTMUNKKvuEHeKg1vMEG5st7hkbJiWRYImuH3RAyJ+3YMWCm82FPtXfSaX0c7yuIYwHTuCtUhQ+lUxNsnh6ijwIuG/0VAChcOldx6NHo4ezxBHwTpYi8R3ZeGkyd4SjIT54n0idrOhOMj7bAEv9tl5pIM9nCGOg93kskh8UylPcY72FmEsZ4F7/qnZUNL/SQwxqobkAQ1xHKyDtUjQLxrBJscbthGQ9xktzYaSo08JMGrGf0BDHAfrYC0VFOR7KiFdsmzsQWR7c3v85X601VCyw+UYV8/qgIY4DnYN1lLBvmgAe0iK5mk2VO0UgQTe97wmTceOYC0V1UTzvqscFiUsKQ7oaTYUqyqsiIjDDkiNwTpYS0Xx3IrTyXpY4zj/OycNB1s0VLnHxdN/Ka52HmIMdolgKxgVcD2jo0w5z2ee7MTtsUrmIcL07UdbDcVw/ykuCy627czBOthtYBEDABJe9pakh/fKXnoWwdXoN8F3cmXp+1iWVkPR6qowtv7VIOwSwSYwnznxLXZFYnLIYT7xjCJx+aZ82eNAq5Ox6w3FgFeWZVn2upD0XxkES6Pfnx//POKwYMvS2BHsFoiTCK9AgHOSuuaWF6FwwU/MuX1PtsGhKLe2mg1F8T7Ah8SeL855WQFxTgGA0nR8bQLLUtgR7BbcuZOfvHrxMOJs7K1hcO//WPC0/tVMKN7psM2GkvK43BA0H7JGKYn/suzmiYg2v8myFdbBbgEtq2+EGJXFuCkUTnoSrl0eMBQm3luPrYaSj2kJ3meqp3c8Lg4QPDyYvC714VgHuwleEThDahsSZkHBE5ew8/CVlj0ol2CbDSXkygTFFleC+P3DC7gNutsL62C34PaQZt3GbvIyIH5ekBi8iPHVlEuwzYaiIFX/ovkxr4yXsybXMXja9OlYB7stzOBsf4rHBWGMs30cjUQawdYbqnbOYArHBUBRhTK71sHuho0iAACRoKxTtC7lPgXuDAhM2k5iIB6AC6P+n12GNQ8mHEcQKBpKdrBnmifKCmmmZOwr/QuwDhaA8Bnc2xZ3opWD9RKG9GGQhy0e09s/7j93lmUz5i2IM84AeO4m76M7nDN7oN1Qotzj4vROEYZAY1SroeYYQ2yq9sHRdrA+BW5B60evTzByxOA8SkXOSbxautUZQbnd9fCZiB4N+y1o5jPrWo1gUB3AVMSjk5vPomvHly4kX8oB7dPxfPnhd4JwuQHZrJkzvd/zsqvJNtlTHJTG+YecoqHuwKm6bFLnHWGIrdU+OpkmHkDaPwp0/9xkYoA8y/+9HMRzvxFFZk3rTkT6+cttG3BBM/cteaiu90rhrt0WWEi+eETPy5qlS65j79aJ29FOGvzVpCLh32JCdeEheLw/1Buqet853uWvvLpqw7jVZk20DbG92gdnjIMNGz8iS/b1/XgCuFX/jTHbwb4AV/Xza+1GWfYkwKV+yYJmHutgn4/yGXuqfr+kfJe2n27wVz3wHlAI9Lw6aBhxHy4A4MSP11skPFa/ZdU6eg0lO1hvIRl2UPvgaC8RULSKMYv2j45IBMTVIGDw/DfOgYHVJ6Y2TBrhUptdu9cTkqA2zVrQzE5cycnOcIupo2BQZqe7yo8NFpLP7bsHAHGipFyfZlUUkuuGUYpz0PV3WxGlgJNXBXTd8JzMfhI0elX5W62GItKxMYsdGbu42l+ApiP+a1/6AJyl/f0OXACnGi3FwMAIVmN2e1EOsp6kNfjLgsaAcC0zP7DMIGYp+YbkCaVW+Ktf+yLA3hPTEEAozam9EQseakatmeh9YWU0b/6iV5Zla6j9+ejGwfL2y6pjnHYwRAKUtfn47/D5b95w2IvCWADzRdjaOroQpPJw0nQzbyUfR2VlVh+oERfqEfh2nFMglAs6BrMP49XoVeOQYl8FnS0egFXU/nx0HSxtT0fGnq1mJqmo8lghnFhnj3roEqaY7Sn9K5wQkH266WbeSr4AiItEJDawnLA5NAHqbRlmC8S1LWtFD6LIj70v8wpcSe0PR9fBKnq5UUOryaSQTjByH5fr/PU9wdoegfkiUIU+xagNYU0381byhe/9FMUNhMLJb0sEuF1hbMZAQiT52qs4I1wimPIQahvHCAermBuaNbKYwp3DWdo/qLyQL4rOSWvzWxJCLmBoupn3kE860A8AEmDfg3dSDhzA0cSE+RQA9QVZIq77IGqbhqaDZaLey6HcTzadt2sTUuA6BUZWIx5WujbEEkDuX98pBYlfr6USyie4mm7m7eQT5c43FzUHzhLsfGhqAoSLv1KWt6FzI8z/+f3xGWlms0xiFbU/n7qDPf/8nAHw6Pfn50dOoFEMU3afqY2E+j+//wAa/fef/1NuZt2BxWN+pLAiEUUAuC/A/vv5+fnJ7SvjOuCs+kuzzbyRfKn/89+vdE9pdTL5B8S7vnHufG8Pr4n3DAk4SLhIAfXDqG0Y9ThYDrjAOfc+lF5D6RfNNXhu0pM/iIjuAJg45W8Nfs57CxNwF9+iYeV4hJ8Y0hC8LxAxSECryvRmm3kj+Wr1oRlAilc9vfOJuaDLQYEFk3XXxLleBVuqYMBx1DaLuoNlgCdOFHAcUCDyCpNSgPpoXrvek895V8dgYtL4xWdwGfArSOC4PGVIYmCdCS4rCxndI4EwALxM/n3D27pSJviiZqbMBdrHb1MAdKKPmiUfZdWFUu47BTivycMCJ6mahQHyqD/ce5660J78NpDFRD2U2iYhB8W+ADdzAXLN8kz5Mj5Z+adDCc4zeE9GXE/GaUusjeM+MwdA/MoyKVg9bKcEDKbKDsXsX4sEwvhtyX7+pED9Rc08NlVWg1nyjZDnKaUQ1y+Mp9YOWIoHptcv6GOhTJC1WEvtj6c2gmWAFzG4NwcAiU/lQENdy2z9N5pmkR+eepCLuhd/LQD6ntdcPAL+1gwgLgV3sE4Q53unXZwo3OvwcMup4ub3MrMum8knTSwYELxXqgRNkdx3PvJ2OKX1I/lStedTc7AUECmK/e6gcnAMVSr7m3tqTvw7T7oTsN7j3lwZTxLZAdZZ58jzZtiJI7zo9EmP4j15XtrMlesTTH4BsfaasOoUg1ZNw7nydckjmjeXfssAt/i7IPQFjzSD2xc7W+xS6yFcKgqQJ+cDANSD+yXxhy/pR2o6nTMr6q2/m9pHp+ZgOXAv/StQOR8mHdv3Zt1CD07c9b7kk9Mk5fVW+nawmmUwfLf2AufSsyvcRpiX4PCA5Ayifxz9W4xlzSxvBlEfrvTEtNVmOgWX58l36ZanCa0twVYOzn38A0v1zCp0NNL6ouYPJIdbOKpp+wIjetWyZ2VqtXaTpdT+LppLBIJUifm1XygSeHTGfunYMNOcSX80gLTfLX3UmvfQeofk8oC5ubRIAVdEd63lgQbLmrlHs4mTPQ35KEXbC4++jxT6Wk9tcMMUVFJ1kdtNRzDAcZgYbiNVA43pVUbRVnvndjAY2cEKDqByC1WEI2/H4ihCzoFz0oyhEef2q3h5nGtXNhYV1QSWStX7qqXXxVcIGIB/HPrR3W7xnO1pZh0zDMuXJhwAEucyK7hYmmsIVh8mBam0MN97u8U20NtlJcpPFOTh4rfpYFd5Dmaro1XlsIdutRdq9o9EdrAMQFCZ6F42BGuH+yhHVm6rGyQTS1GmvGNNnXO0Q4yczs4riSMfHs9qtZqG8eTDVxI4Uj9izSVIlh/gIc66eYVymsHGZq7QidsalC9KAZdAMH5SFLbRp7EEK/9K2hIcuF3fEsQ8qqmd+yAuROu9o9lAY3qVYkV8BpOi9DrVXqrZPxMpoiCGfKLJowrAiduHgoSqYKZHs8L5dWrwyQohRjep8L5XCKr4urlhWgAQ/Dn6Zf49KaxrLTMvUg92SL4YCP6yLMse7tCpA/3ySIVz48Y3SdVnR9xuQR6ozlcof0Ja14x+Dg4QptWh9j7tcBTkVFkGSNveSbUSytrBTDoR+uIcDV2yIfJYqPy8fOQJBcjt5twIIv2dBFJIZbSZB+TjCbw8DM67EczYw28swdbXeMsbLna7cXioVeeBRrKwWc/BNLrV3qkdjkLdwZJqrn2mIMU4sv2YC50A0p7gKU08VaLBRKTngItiAcLVXCMYdZtHkMfEnPQCHkrBdjOzJgPypVW1JScEv2Mq8n1YfVVCpGXtiMVuN5IQSGt9ZtDBbtZAa9Kp9l7tcBAkB8sFRPkCSqVC/xStx/ze/lGbS/9Uv48gn448avxlWZa9Jq5Fybsl1bDIwdLV8Yv1wzCGOOksjZY+agczj2JIvjuq48XCOS8uWtWHaGzQC1+UUbGL3W4kAQC5YRPFwL7OVg20Kp1q79UOB0FysAxAEgkAEKcICIPqF6TRhdauAu12jgmmbg5TqPa4nMV7RFls++KB6UwNS2+/g5lHMSAfkzYRlXbtKXlTz3yg8PiZvj/KDvb+j4FcNW83Ax79+/ntWuHxYoD/lpEfpzNMOnJiDpPU7mwHQRceuhwTKYqAAUB6D0g+zq82BBVzIHq4TqVcgoWnDOCe8bBKXuT2j9/Pw/u1TFohWM3MS0SpD8hX30v32o9XKlVwEQArU5OYwEN6j1AgSd7r/1SKv2dMAOVZs4O3m04awfF4mnaU7Yopg/BdzyWcvyP2PyKJdJrane3gs1qrfit1B3tLmMiXsqU0JEFbPYjxw3Uq2T1Ui3wuEYzXfdi8J5VXmT/k5ovEHYwMLMoUrW3muUO8IfmaM2WVHWU/35lpxQC8p52CNrZWquRjndtNg0bk5gH0lBDlzJ48ojvACnuS8DPK+E1Uu6sdKAOodbCyg6UggZekAoATxNWzpFgIrP8obcWUcg6+QYLBCIS0WyL72iDFvd6f+MDD2u+oKMALj+1eouHkFsrhuMDKZuaKjM+RDMq31GhbgATvmoS1HRPXcYPaHVbyawluHgDvekrUS6fklpb7PYFXNcCcBtp/6XKy2up28FzFyXTfSBmw9XxHOT4fj5F1yXq+ODYxuu+CKs5SiqvUpD+E8xnLEZCPzutKlJGuSgw3c1wLKfbaAcaPro7197j9yf9/Kq8ae7upvOC+PznoluTvFsfxtd6+cxpokUDlOUxVu7MdXheN3v/5VCPYYqz/+a8dObbIczhfciZT350b/mKRrlN4wUA6jdFMD9u5HmE563B6tuUc58OyQhdXW73Q8HVUDpZP3rG+Ou/QJOq/17WZWDr6aUlq8ZxxhGSs3rMTUysS/ZM4tjAzowLuMoe2brwwudjtqhTbsc08s4Gm9Krl2mu62nU+Yj16QSoHO/30uvYIzOhRcD13PDgLeh8zGqFLLpjxEWekrm9mFjEAIOH8U6/Etk9a5+0mVnMD2nVmBpnTQJN61YLtVTFa7dofWwfboIqDZYq6TR9JPSGJXIDzmJd2+Hg8FhvCRiYdJcd85sS32BXJlNROtxYksPoOh97txFkns4j6vqJFky3Xbqb0qnnt1aH1WLU3bvbDUY5gjToeelUa6e1hyngyYgjQPkZwOikF2feMVAlxEuEVCHBO0gnF9WpJcevHSevdTq/MGKWKsYVItyzKOqFXzWwvtdaj1d642Q9HOYL9Hts0I/euQLJPBjU7A7Ex04Y7d/LckovXqOuhhUukocwap/VOuF3aqgJAz+d2/K1Q/XUkYrMfiJntpdZ6tNobN/vhKB2sUVmZq9Icq7sXINojDlFEAoE5e620nBuGk1aZA9yLPxMpZpbmWeJ2yipWSdLeduKKydv53jx+zDTmtpdK6wlqb9zsR6NwsOJ7lgiyLKtrGocQ/vYeVvgMrkkFistAHTIptzYG8koWEL5Yf3o9fLuOKlZtF0DbY4s0IasV7F6Kme2l0HqK2hs3+9Eo1mBFPD0r81wcPsCqrVDO3y/CJc9qW4sLY8J/bPx+ET4DuY2w+dpmvsn/mTAQceKE/caux1jCEa4+HRq+3eWCs06lQNoqYoM00j/yp2Tj52Bmeym0nqT2xs1+OBZIVuj54gUzbNbk9Xg8tPKHFuSvKMCoy3ZmvjRL9GtSDV/C4Yvno3G7dgYV0DL6pXVQwxVkQnfY7Tmo2usZX7Mse8TxZbBrtbWeqPbWzX4sVnawLjAy79bSxXZm9qY+KY88oDjQPS1nJsO3UznY1kUBLu9P7wNPrs3jUfTY7Tko2uvpAXhc84Hp0OEtLa2nqr15sx+KJRysavD3ZxORl2YzM7eOlBrD37ZTgYHbaTlY563uK8i90lX/PLUaez0HRXs9CRzAgRPHMRkssdHUerLaWZZt3uzH4RAzeMumuO3J41HRcbB/7x89HTjPTHY0zjGmvEV7PZ3HH0CuWZZl16Ehc1Pr46l9DP6nntdYvpczIybFNqzOOzU0PYvgSoA0ArnfAUBwY2KU+yjby30SCudJgDz+v3fXtqH18dQ+CNbBWuqkSXkY23eQp3dGKS4xANx7aoGbiNReBLQ4zRNDUZcNrQ+n9lGwDtZSI41w+bBKfADnilxU9k5lonDBT8y55R7J+PDXOvX24kW8Fh0KumxofTS1D4N1sBYZdkb4ecHi3Jf+81N+ivOagnDv0XuifDga7VUmDyjTtGp/eGStD4R1sBYJ5ovwqxZgAQonTeDehq80kEZ78bK+wFBZq0NrfSSsg7VUfKp/daqMOR+XwvUIAgAUPHE50zj/1zya7UULtyqGRrBH1vpQWAdrKWG+CD7Rv9YXYN16OicD4ksaJc7xTu5ptRerBrCDe1yH1fpY/N/wJZYvgfmiKD5DDT7xZ2EoHheEMc77H+w6knZ70WqPa6DA7HG1PhjWwVreMF+471IfiT+lwOghYSAegIsnlPX9DabdXrxcGBhagj2u1kfDLhFYcrgvwP7bW4rFGYrtLFzR7R/3n+uLsxyK9qLvQxcBNlBe67BaHw47grXk9BzWfFyGJ8DFWgi5ETbpaKu9ULRXOW7l6tMKpD9+/3s4rQ+HdbCWnHrS/ofEworBU6gZWH6Fe5lcEHkXFO11zd7pAoPV8w+r9eGwSwQWFR/y1LWmv60Vg4sokktD98BHetTbiw+dEP0hWh8A62AtX42r/Hhw6JAuH6m1kdglAsuX8YlrzQ2Ggggsm2FHsJavIv6U1Y8evucAU/P56TjowmKxHJRzAvtYG4IdwVosH4Ybf/4o/SjYEazFYrGshN3kslgslpWwDtZisVhWwjpYi8ViWYn/ByxhXYyZVQYKAAAAAElFTkSuQmCC"
\begin{array} { r l } { p G _ { 0 } } & { = - \nu k ^ { 2 } G _ { 0 } - \frac { k } { 2 } \frac { k ^ { 2 } } { 1 + k ^ { 2 } } ~ G _ { - 1 } + \frac { k } { 2 } \frac { k ^ { 2 } } { 1 + k ^ { 2 } } ~ G _ { 1 } + \frac { i k B _ { 0 } } { 2 \eta } ~ k ^ { 2 } H _ { - 1 } + \frac { i k B _ { 0 } } { 2 \eta } ~ k ^ { 2 } H _ { 1 } , } \\ { p H _ { 0 } } & { = - \eta k ^ { 2 } H _ { 0 } - \frac { k } { 2 } ~ H _ { - 1 } + \frac { k } { 2 } ~ H _ { 1 } + \frac { i k B _ { 0 } } { 2 \eta } \frac { 1 } { 1 + k ^ { 2 } } ~ G _ { - 1 } + \frac { i k B _ { 0 } } { 2 \eta } \frac { 1 } { 1 + k ^ { 2 } } ~ G _ { 1 } , } \\ { p G _ { \pm 1 } } & { = - \nu ( 1 + k ^ { 2 } ) G _ { \pm 1 } \pm \frac { k } { 2 } ~ \frac { 1 - k ^ { 2 } } { k ^ { 2 } } ~ G _ { 0 } \pm i B _ { 0 } ( 1 + k ^ { 2 } ) H _ { \pm 1 } + \frac { i k B _ { 0 } } { 2 \eta } ( - 1 + k ^ { 2 } ) H _ { 0 } , } \\ { p H _ { \pm 1 } } & { = - \eta ( 1 + k ^ { 2 } ) H _ { \pm 1 } \mp \frac { k } { 2 } ~ H _ { 0 } \pm i B _ { 0 } ~ \frac { 1 } { 1 + k ^ { 2 } } ~ G _ { \pm 1 } + \frac { i k B _ { 0 } } { 2 \eta } \frac { 1 } { k ^ { 2 } } ~ G _ { 0 } . } \end{array}
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\begin{array} { r } { \hat { H } _ { \mathrm { ~ n ~ h ~ } } = \left ( \begin{array} { l l } { - 0 . 1 i } & { - 1 . 0 } \\ { - 1 . 0 } & { - 0 . 5 i } \end{array} \right ) } \end{array}
"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"
d t
"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"
\left ( \int _ { - \infin } ^ { \infin } q ^ { \prime } ( x ) g ( x ) \mathrm { d } x \right ) ^ { 2 } / \left ( \int _ { - \infin } ^ { \infin } q ( x ) ^ { 2 } g ( x ) \mathrm { d } x \right ) = \left ( \int _ { - \infin } ^ { \infin } q ( x ) g ^ { \prime } ( x ) \mathrm { d } x \right ) ^ { 2 } / \left ( \int _ { - \infin } ^ { \infin } q ( x ) ^ { 2 } g ( x ) \mathrm { d } x \right ) .
"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"
\wedge _ { i j } = - t \delta _ { i j } , \Phi _ { n j } = - i \psi _ { n } x _ { j }
"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"
R _ { x }
"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"
= ( 2 + 3 + 4 + 5 + 6 + 7 ) - ( 0 . 1 \times 6 )
"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"
h _ { \mu } ( T ) = \operatorname* { s u p } _ { Q } h _ { \mu } ( T , Q ) .
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| \Delta f ^ { \gamma } ( x , \mu ^ { 2 } ) | \leq f ^ { \gamma } ( x , \mu ^ { 2 } )
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAFUklEQVR4nO1b3ZmkKhA9e79JgA2BFEiBFLwhOCEwIXSHQIfghKAhjCFoCBoC98E/QO0Byrm7fu15csqmqjhAUSXML4MLFPzzpx04Oy4CibgIJOIikIiLQCIuAon4YwRW1Z+yfCzerOe2HR+YWIR1vzzbciLuH3Az0HTjZLdJChwCq7YamjV8UdS2dQsAQjD53JEI1B++JN042W2aAuOgywEAuSvNANGYA9GJlWWScbLb6QpW3ciGoXBkCqwLcyQQaj10RONkt1MVrDYRBgC4O7Iekn2zDKJQ3XfUpRsnu52swGd0jAKNK7sFj2QAOibVhmWScbLbqQr8bjTjWOSu7Cvck++RsWabwHTjZLeTFfjd0JDaHwoNFuxIAG7QZpvAdONkt5MV+DGwhsglALzbsuPyF6C9Z/nOq3TjZLfTFXiEchSmBACUluzIEChYZ3ZmYLpxstvJCrxuNEBnjAQAackODIEKpdkhMN042e10BV43NIQx3lAcGgJLKGN2CEw3TnY7XYEXA4dlLyWw5ERHhsD+Xajdl+nGyW6nK3hz/6wgAEBVAKpK2rJNfNS7rza3io/2az81jTV+REu6Amc+DqHAjIWNnGT79eCTMVIbPy8m6dYSjjZ+QEu6ArcbGnzWiDEazLItxBHYsClCbxEYbfyAlnQF7hKelz3PHwDuEt+Eglu/+4qvRe/Q+6rijR/Q8gAFDp0c2vhDsciouC2atmZgunGy2wQFTjfsZZ8DgIyMJU/xhWx+3iAw3Xhky6b00ztKv51u2Mt+GoqoWPIMnbA+rm0QmG48qmXBmYRwP/OFKOhULifkt4Vbpxu5/TFCDUOR+59pU3EDnz2QHICUUlo7TbrxmJYaouvg1WiBChoGIFNKAJDTEDgEOsu+YwBQHhYCNxNoubxPNx7RsgDvzJdd8MYo4BjSHQ3Mk9g7lbNSR5bfAby3TzejR7v7SsbVLwnGE1p+QDGIxk0RQhW0LSAYgLx+oL7fBqlFsFf8DUPxPApF5IFNaSEHUJalFc4TjMe31JuHHKEK9NyrAvPisWegl/kMQ3FYIcztUa9WitONR7R8bB5yhCqogXGqMgxdgFsL+8WfevRzkx1k+28jiU8wHt2yqrfFgQrcUZ+elhm6/v51Aw7LAl2s0phQ411ZuhtAcMumLASgV0lguAIAYvnBuJFb3dCbR3QHZYEeVgSGGW9yCMm5099Qt6csYJWdhCpYQmDHZyptAqWdVMxtDsoCPawIDDKuGS+NKWbnw1saY4zpYNVC8QpyAIUxw70KscoDmwx+emSOLIRdeASGGddgjTFGOHEnwu3CT6DjFHAAuix1zsCWFAPGGNMMpQEALqWz9vXPhECbwGDjxdDRcp5HsW7nfrCLUtDM2wcrLPHW/YC/Ex0bl5rKEgeVkw539BA/pTdhz0OgGiNQMprtEBiKMQSWcArQExHIqIeDGqSAPhXC3hQ8zR3pqqfWRDWpqpoLYQXnEtd5CNw8JIjTwAka5jJESueC92kIJKMN+rSzi6UQzmBPwdchsAqrrJ80Hwcg5/YUPA2BDBi/PfarC+pBOCgEwo+CtJ3t/0ODcRMtZdpVJ04q65dC2Awb8rQRn4ZAozAcSLA0/hpSWd9wm0ANYHLjPAQOn1OYSvx/AZ2ehxdqXPtCjYkkA4ChIPp1ov9Yb+ueJ4ex9wdvvv9VPN6+/8lfA0oah09khzli4zS7MBGfPdu/mEjBCxBY/f7d4wF16P8KzXgFAnv0n1X+MxPwFQgUYI9/1bOLdRScaRdORVU9O34l4hUI/FG8wBL+WVwEEnERSMRFIBEXgURcBBLxH1Qo1RByjH4qAAAAAElFTkSuQmCC"
N = 4 N _ { c } N _ { f } N _ { R }
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"
\begin{array} { r l } { Z } & { \propto \Omega _ { \mathrm { t o t } } ( E _ { \mathrm { t o t } } ) } \\ & { = \int _ { 0 } ^ { E _ { \mathrm { t o t } } } \Omega _ { \mathrm { t o t } } ( E _ { \mathrm { t o t } } , E ) ~ d E } \\ & { \approx \int _ { 0 } ^ { E _ { \mathrm { t o t } } } \Omega _ { \mathrm { s y s } } ( E ) ~ \Omega _ { B } ( E _ { \mathrm { t o t } } - E ) ~ d E . } \end{array}
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"
\geq \frac { 1 } { 9 } [ 9 - ( \frac { 2 x + y } { 2 } ) ^ { 2 } ] = \frac { 3 } { 4 }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAB8ElEQVR4nO2Xy7WbMBCGP+fcBpRV1rolKCWQEuwSdEtQSuCWQLbZ4RJwCVAClIBLmCx4SQLziLPK8awGHc/HvPjBJ+E5+/Jk/AvwAvwvgLfw8tY014ZaHyCIZ8XC2ZYFJZjCKSA5VEMEzAD31xkAGlBHEogBFWCeATQc7MEC4MgMZ3vALajgWqHsRkvCnpZMQ6i7ULM+hQiQA3nnuuVbxBaVMA6huVRYdW3AsW4hL+lPSsW5FZHMpusJxCVoSEQkg2wjcBnQdj3MgHYnINyDClBUH727x+YAc/8xuFGD79uABkguFL072f3n++n719Pl15wQFJSATinFgPbPc4VyeWYVpl5tImBUKmIB75cZmFZEpNSocgVQwjhGUv9YtaNrwvkEgJz+zjX+M6A9kbKxYAUAB9ghhmIqYNqKHNRjQDKGub4WEZHz5Harlj8E6BFfw5grQdZ6SLK3YA8aOHeedsDnpaH57LZzNB2vSJCO1/tBGPVvrx3dedCEWBNHPStcl0n5bbZ7wUoHghJ8dKauQm0rfCyqnqlH8h5Qt1/vBrhNl/dI97cBURnV4QxI/AxujKPuTTatVd6jaaM9ikV10Ryce7dWqFARdn2N2EGkWxM9CTsBYuFcSJtpVBS/EyBF13llZ2p/ev3leQFegH8D+AOHS1ntutSMwgAAAABJRU5ErkJggg=="
k _ { 0 }
"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"
1 ~ \mathrm { p c } = 1 ~ \mathrm { p a r s e c } \simeq 3 . 2 6 2
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABAUlEQVR4nO2U0XGDMAyGP3pdQCt4Ba8AIzgjJCOQEegIZQQYAY+AR6hHiEZQH5IjwNG70Lz0evmfbFn6TpJlF8Zzensy/gX4H4D3tUETXtAE4n+VgUQRkOjK3O4GJIDkAbIjySOARQnZgwqAaqQsdwMAooc+xMeimZeg7QctuScefO43nbVNSU9VVVV5shXTcz58xnAO687fOik1wDlIlDKG9rhRQlsKoEQWybtmtgknHRya3Mw2AdQDuSTPT5cZpDT22fVOde5hN13qrqsvZrUNF9vW0AyN2dHGembkvuzMzOw4fI0/ADa1nkQl4tih+y1cR6iXRNhDKF6/8gvwJwDfOwe/iUr92AUAAAAASUVORK5CYII="
\phi _ { k } ^ { L P } = s \pi
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeUlEQVR4nGP8z4AfMBGQH5kK7qW7pp/Fo+CeiWC54D00I/4jgXKX/xgARcFuwfLymf///09DEkOxYo8gA4MSA8OsWTismKn0///////PuDDgMOGeIAPD6nsMxrtx+SLtPSPjavRwYMSWYJAFByiy9uByDx3dMAwVAACNmWmvEdHG4AAAAABJRU5ErkJggg=="
\varepsilon _ { 1 }
"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"
B _ { 4 r } ( P ) \cap \Omega
"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"
\begin{array} { r l } { \mathbb { N } } & { = \hat { p } _ { 0 , \psi } \mathbb { N } ^ { p _ { 0 } } + \hat { T } _ { 0 , \psi } \mathbb { N } ^ { T _ { 0 } } , } \\ { \mathbb { T } } & { = \hat { p } _ { 0 , \psi } \mathbb { T } ^ { p _ { 0 } } + \hat { T } _ { 0 , \psi } \mathbb { T } ^ { T _ { 0 } } , } \\ { \mathbb { U } } & { = \hat { p } _ { 0 , \psi } \mathbb { U } ^ { p _ { 0 } } + \hat { T } _ { 0 , \psi } \mathbb { U } ^ { T _ { 0 } } , } \end{array}