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"
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x _ { 2 } = - \frac { \sqrt { 3 a + 3 } } { a + 1 }
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"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"
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{ \begin{array} { r l } & { \quad \int _ { 0 } ^ { \pi } \sin ^ { n - j - 1 } \left ( \varphi _ { j } \right ) C _ { s } ^ { \left ( { \frac { n - j - 1 } { 2 } } \right ) } \cos \left ( \varphi _ { j } \right ) C _ { s ^ { \prime } } ^ { \left ( { \frac { n - j - 1 } { 2 } } \right ) } \cos \left ( \varphi _ { j } \right ) ~ d \varphi _ { j } } \\ & { = { \frac { 2 ^ { 3 - n + j } \pi \Gamma ( s + n - j - 1 ) } { s ! ( 2 s + n - j - 1 ) \Gamma ^ { 2 } \left ( { \frac { n - j - 1 } { 2 } } \right ) } } \delta _ { s , s ^ { \prime } } } \end{array} }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAV0lEQVR4nGP8z4AfMBGQH+kKZglBGSzYZCvOvhd8D+P8xw7KYRKD2ZtwwMLAwFBxFlmkwxhDQQdt3YBLwXsGaFgzYkvVs1a/P8sgaMywG5cCqrhhmCkAABIuLd6AQ5kZAAAAAElFTkSuQmCC"
|
^ { - 1 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApklEQVR4nN2SUQ3DIBRFb5cawAIWagELWFglUAm1QK3UwiqBSmASzj7WbVkC7LfZ/XkJnDxOeK9D7Vx+3P8J0BdP92WTdV6SRCHRraQgl4ESkAYAgnwFCGYGyBJQlLxvkmRUc8hz+nQoSh6qck0gW5OagDc3gF6ati/D9VnGPRlJ6iobNSo2ZzHaKGmqfTUhAmBrktejz1AB5tdDHqhJvnOGnTwD8ADGria7bgYO6AAAAABJRU5ErkJggg=="
|
^ { - 2 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkElEQVR4nO2SQQ2EMBBFPxsMYAELWKgFLGABJGBhsVAJHQkgASQUCX8PC8m0pOXCkXfq5P9M3iQtiDyfm/wtHJTqvVgA6OqwQYXpyd4zICjA0Uc5tYMAdqsyktJgabKSxtRxHkjCkd5FDmrDABHYGbLLN3EmSXId2Sau+DO1VpuWl8I+bWNC8qTTQ/H+6ocKP9FUrcUH3UmJAAAAAElFTkSuQmCC"
|
E _ { q }
|
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAHQ0lEQVR4nO1bzZHruBH+nmsTwGwGmAi2MFW2T+8ChYAJgfLRNzAEMgQyBDIE4LK3PZDlDWCJCFxEuRxA+8BfidSQovgkzXq+i0YYsNH4BKAb3c1vhC98hL88WoFnxxdBC/giaAFfBC3gpzuN4xw4v9NYu+JOKyhM4Q/hfcbaF9+2mXnv1yyH0gMABCvfCoEw/owuxaYV5MPjuo7HgwXsSygiBpSfcouBrkct1MqeUhIRaRARJazYMNbDsWUFhWW0sqcVAOAZgDg1YsNYD8cGgnwqVm6WEgLwcR7BvbNC2Pj6wR6ODWa+BFvdsyxzrwteviE/AtX1gz0cGwiyq3s6FoEfOYf4jParwW5+kLVu0lYKIBBHD8Dbcq0k33462/0UU8k/TpA7U3QDQb/iXxNVji/Whq+H/LTZCgCRj4HwiPLNnz82B//ezCZ9PcTxt3fXtG2gaJMgfzjY4+GEousN39/w81lLLURNRAXT41ajIBIiUgj+KYlIalpGLRpnIGCGiCrR+AYFr67VcpOgZiIBq4emXQiKkBERkbnkH7GEiHi0QrgKiIhIwxARUc14811cq+WyIB2Y84ea3jWCoWkXgjTaxZFdeIRnRIatWAUFCiKiCqrQRJQUuuG+QnKdkisEFbJZ4SO0LMoRKxus2PfffjlrkXFspRKAuvBIFnvvzMh7ykswIYHcOyYkkMLx3AA5BADkED7XDDmXcakAcG6DWck3CBLGxWEYBINapW98WQ4r+8brfhgiIg153pQJAGy6ZC8hkUQZr0lrIlIZGU1EkoikaIcwBgBgTDuY5D9EUB1xDGobnO5Lok0raAZKuby0aZqNllA6azAiAPBhAkDAxTUAdVRl6Vmz/EY+qAbS4dustJsFMa3z9CB0p/fUBd5A0H/w39OGUgBcw4dpPiIon3UoIwCwXgJKIQUDwLwN8hchR3uIoRSy4RIf3eD2EKRUGKeq6w3glMMNftDv+OO04dgIZKcn0Px+axVofqneMWJFJu3IT1IoRQQgEBYSl7GDIB++xkF7+RbMt2JHfdceGwMmVky21j1CRmSCGfNJVBkzGLGiYa/OUBORQaUrIlJmOCFUY4SoQGuW58+gmwUVAbgevB6NioiqD8x8ZUxNC5gS1Ag0LCAKRN2pPYbWJuODo6gCIkoqkgkRBbo5Y3XRhY6IasEMERW8CyLxgOZwm6BEQp4Y+porIlIXHUXNhdZcLgS2JlZM64ApLXhGlKAiItEoURhjjDF165XoYaw6CEyUEdVaG62JtEpMoomoal1OqjUTUrCgVbW6sGNvEZRxBOdTrSWXXI4dthFBLdkU4GOGZsw8UbuDmhAia/ZcwaGN0dBEUXW2uGsz/qypbleuHn7gygx66IsxzO2CEj23WSpz6s+OflXRrUI273P0Y8wR1IJpIio6b3UccV0bcg3mXOZCLG78HyVosGJxqVtDKN1CaOKy5VUlgFi0hnYUcV0dck1cOmnLc7M2Rre/oI6pGqz7U1/Y8P2/L986axlo1S3dAhlRHbGEqFIJkVlzW3029AQlg22THUF64HG0qyRWxh4SaM1ZVBEVjZCrYxZPgN6TduCTP4PBXxpWZmn1yph9H3H9zCHX0VWjOyKc67LoM9l0H+eRnrTOoxRAkB4l6+PY4vqj5NHoCWK9vx6jY8ANlxLW0SfsqsgpAFgNIDrEEYCDlrBpcike8sTo9lrFAiLNIaPhMJo9gyqsCZ2eRFxrKlBTTcW6J58Kgx+UoEikyeQHXk4DteGwjThV85eFZ8dwBgX8yJj1Xi5lEDjytadQD8dD9zlrF3qCjrYqfAnBjsspltWnUA8b6BLwq3Oyz4PBzDvPmATiNFt8aHUOsIN3AgI2LK598PHoCcrCN8mAnJuPIlTb4ELkFrZcpv75MK4ws5h1fc7x999+/vePU+jZMI5J7790/gTYqcrVOfZ85VG+NQmujzGvsKTnM9mlumMm5f94PK54YRIwm0n5Px5XFC9UffRxn+KFaUx6mvJ/PNZWQdSJBO+Cj/sUL/wDfz1tmEn5PxwrqyCygLFR5H6f4oXzxOFsyv9euKUKwqW5U9EoDzs3kx2smG/ja4+4RqS5QX4sWIgIePfKugjI0cSi0CSc3QsA3fn/vD+B45AH6sSszc1kFzP/sBvWTcULnLny3C/epXjhHHMp/zvhpuIFpXL7zgIlxr0B3Fy88B2nBVSzKf/74MbiBZXUkX17i7v+OxUvRFMzP0n53wl7VEFUmvcx0uXihTUwE0dxmvK/F/apgsi6hN3MTLa8L/aC+rTBvzvuePKAkKEPoUqu4GNIiwihk9y5CHCvbbWbj1POvFNRsxnd64fhnOlMthAUh5NBhlTRveFLOfr0zJdNbin0yaDccP8MXR+USoeydzG8vnQ+k01vHIa5ef4A81HM1MWWxyE5b4caQT5fQgtsfSXT2g9EPgvCqY55qa/12Ta+s/r/g6/35hfwRdACvghawBdBC/gfPzRdbYVZQRwAAAAASUVORK5CYII="
|
Q = { \left \{ \begin{array} { l l } { S _ { o } { \frac { R _ { o } ^ { 2 } } { R _ { E } ^ { 2 } } } \cos ( \Theta ) } & { \cos ( \Theta ) > 0 } \\ { 0 } & { \cos ( \Theta ) \leq 0 } \end{array} \right . }
|
"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"
|
\partial _ { \alpha } F ^ { \alpha \beta } = { \frac { 4 \pi } { c } } J _ { \mathrm { e } } ^ { \beta }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABIElEQVR4nMWTS3HDMBRFTzohoEJ4FETBheBCcCHIEFIIKQQHgg3BgmBDiCDcLuQ2UvPpqtO7kebqzPtJ2onHevrl/A+ANKX3HpjSHeDNO58A/3Yb6BtHNMA1/Wapkknq5rkd8lZSHSE6YHWnYwsuArAHYF03wgGpHwBcKgDSa+cgBmAyF30RNWdamCWFs0mHYewkyc6SpA0YkaSz/KJ2lg9nLV4lEJq8DuGrnzBUXSTLa8s2wUSbN7t83S94oj8AW4GXOrdMo7QsuqHcZsQgZ1nj2rlyeLm274kfO81tGYGqCS3NpbMCCGYhF9ANklwJ7OpH+zzAehoLZ1+dJ2vgoymtG9c9tfcBA6JZadUpzJ1Ih8r6USTRGQ+BK/3D17vSJ4bpFbWf8nksAAAAAElFTkSuQmCC"
|
F _ { \boldsymbol { \theta } } ^ { ( k ) }
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA8UlEQVR4nO2U0Q2DIBCGf5suQEdwBVbAEViBFWAEO0IZoY4gI9gRdIQywvWhBc9EU419aeK9HQcf//1HKAj74rTz/AH4W4CvimoHwF+85jltjbYlgsrpebMCNU0ngMFHpREhNvA4wAnlfCc9bAIOY7EsFwhjc+ZGdIcl2acVy/ZZ7sOsBy4aQAFO57sM63dJQFbQoyMigtErJsEUZICR71w8twFyC435yGYjWGNiAoQoAeAxKforM7GeB6SnHCAAPBpEIKZizVQvnM8AgQFomhohuIWtY4TxjjyFXgilWyIJ/c1Fq0pAJhuL41s/AL8AvACws0ap4aiuCgAAAABJRU5ErkJggg=="
|
\alpha = 1
|
"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"
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\widehat { A } _ { m n } = \big ( A \varphi _ { m } , \varphi _ { n } \big ) = \big ( \widehat { A \varphi } _ { n } , \widehat { \varphi } _ { m } \big ) = ( - \mathrm { i } ) ^ { n - m } \int _ { \mathbb { R } } \mathcal { A } ( k ) \varphi _ { m } ( k ) \varphi _ { n } ( k ) \mathrm { d } k , \qquad 0 \leq m , n \leq N - 1 ,
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"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"
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\hat { H } ( \lambda ) \Psi _ { k } ( \lambda ) = ( \hat { H } ^ { ( 0 ) } + \lambda \hat { V } ) \Psi _ { k } ( \lambda ) = E _ { k } ( \lambda ) \Psi ( \lambda ) ,
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"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"
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\eta _ { t } \in \operatorname { D i f f } ( \mathbb { R } ^ { 3 N } )
|
"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"
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\begin{array} { r } { ( \partial _ { t } p _ { + } + * u \cdot \nabla p _ { + } ) ( 2 p _ { + } - b ) } \\ { = ( \partial _ { t } b + * u \cdot \nabla b ) p _ { + } + \partial _ { t } c + * u \cdot \nabla c } \\ { = [ \partial _ { t } ( \rho ( \varepsilon - \varepsilon _ { 0 } ) ) + * u \cdot \nabla ( \rho ( \varepsilon - \varepsilon _ { 0 } ) ) ] } \\ { \times ( \langle \sigma ^ { ( k ) } \rangle p _ { + } + \sigma ^ { ( 1 ) } p _ { * 2 } + \sigma ^ { ( 2 ) } p _ { * 1 } ) , } \end{array}
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"
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P _ { F } = \left ( \begin{array} { c c c } { \frac { \pi ^ { 0 } } { \sqrt { 2 } } + \alpha \eta + \beta \eta ^ { \prime } } & { \pi ^ { + } } & { K ^ { + } } \\ { \pi ^ { - } } & { - \frac { \pi ^ { 0 } } { \sqrt { 2 } } + \alpha \eta + \beta \eta ^ { \prime } } & { K ^ { 0 } } \\ { K ^ { - } } & { \overline { K ^ { 0 } } } & { - \sqrt { 2 } \beta \eta + \sqrt { 2 } \alpha \eta ^ { \prime } } \end{array} \right ) ,
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjElEQVR4nGP8z4AfMBGQHyAFyoyETDBG5jDSwpv3ULn/0cBdF4bdyHwWNO2z7t1DdSS6Cbv/uyihCGBY8V8wFIWL4ch771FtwFBwloGgAhcCClANwKLABb+Ce++V8CtAdwKmAiVCJqAZgKFgD5on0OPijCB6yKOZsDoN3QCU6K44y7AbXQFN0iS1FQAA+XiPBIcXa8QAAAAASUVORK5CYII="
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j
|
"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"
|
\ln a ( t ) = \int _ { 0 } ^ { t } b \left [ \boldsymbol { x } ( t ^ { \prime } ) \right ] { \mathrm { d } } t ^ { \prime } ~ .
|
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAHJ0lEQVR4nO2c65mrIBCGv5znNEBKYEsgJWAJbglagpaQlKAlhBK0BC1BSpASOD+8RAWTGHM76vtn1SgM4+wwDMhOY2PN/Pm0ABufZTOAlbMZwMrZDGDlbAawcjYDWDmbAayczQBWzmYAK2czAABQ+acl+BibAQBAeJCfFuFT7La5AAB7UnxahE/xt3OsYtX/kRP2VmE+hVDe5WRlWuh6gPxg/EzdgLxRmg/xKwranqxNC7pPBCCoj8szB0iml04JNriyIi3YgkC3/kvc5AjlLD5CFm2Lu6xEC8Mg0I9Bys75jwRdeoB0yMuBh1+RFoYeIAV499wF5FKNv0bm7rCHX5EWBgYgJWDEvOm7hPkMcf9lY11aGBhAioHt5wAGw6KlIYg3uLImLQwMIAf6o14JGP8gyyKXRgi4Ji2YHqBv+hIgC216TWyOAdakhb4BGJ2fADB0kAtD0JshwJK10DeAYeenYoAd3yrQuxHK5gAWoAXp73d7XwIQh93udyyG7RvAsPMLFVjyKgm/A2H+by9CC7FDC52IQw4/PutSOmMW0MsLUsC9nJUe4JZvTk2+GTMNvAwtRFXy+ggesVJr1mtSl54BFACO7UlAQKNXCvkNRJcGN3yxFqKAB6YwRWBeqicvEoAkWicAPHuR3elgpABE7SpyBZcvNfK5EJs9wNdqQfgKSBF6g3jEkqQ8eW0fRjlAiSKBvdCeAeS4RD/BUge+PSxp4K/VQuwDLpWpOqWRkaXoI+N6JqMe0NJMsrEJ7a47oAB/gqP6jwhgetQv1UIGeIXWugwISE9qz/DuUdPhu0ByvdiuARS4zILfxX8XGhlQYlyarIU34ba2mjF0I5eSGGFMCzUWfAzpDgONFPgV8sNutzvdefPXYkkDT9LCOxFBE4uwxEXotz+EZiajQUpbU/K0EzR0DaDb+d2CHkeCijcidvuZU3SWNPAkLdzDfCkBACkuCidnD/GheovKjzkdf8ic1Qz3fhxWGSIAPQ8xsfP7uKfko4PbeyHUvPbsEGC+lFprrY99oSIAXlJmAb22XM0zQoCSkURrXbDmqY4HsM6CX+HjfpLNlSG2OM+pWrjJbCkrVF8oL2OInf3hJEkyLq4w6vbziAOgCZxqfrtjACme3PRXczwn84boqWWK5+lamC2lHZZFLgASFOPS5qp9/6Jy+amglc0TT9URXM9fYEpczz/dBczFlgaerIV3UdiEsl68cLz00rXH99qE4BnVAKjvAUazBYvEFgJ+rRaoTSjrRQChEwJA3jqzuJ7dEmieIFAp0M0ESnlvZ6XylPBrblLkADVTbACAFMhdijxVjBMAMpV0LIyVQgFsbJCTK0jbk8MaxsW09AD3aWFCI2ZL+QDhCanLIAXq961OEQBAXta1MSDl6MYA93Z+8ncfQ50Oo2Mb8RNTzvJ9aFtFlzqOE8r8ECuEPzFU+Cshfn6tC+5CR3FO/B9hrSY9OI5v+aZzUMOVhljSwPdpYUIjZkv5CDlAKHBqLTnk1aFExwPUaK21TpIoIADcKEludIARYZnWWmeE2GMAr85YZYRZizoDR15orQsgYZHWY9FEBFpqrUtqSdc2JVnznL0axltipIEnaOHuRsyW8hE80LPWES0DuFrr0mvGoVGnqnq0C621zrrmc/0jqAQoqqPMngcI2jAjssVYWmuAVkVw1EnMAGZGVuugljYCGXkdY5rr1HAlTh2mgSdo4f5GzJbyEUpOg4CzUusAPPBIW3xgGsAfAP0Xdd0B+vDqDs1+nzy1kZVH8hHfdukTq+wWt665drnLqoqm79/Q1jD+ZDpMA0/QQq+Kq42YK+VDkORMEGQEOBYuWHFtOdvfK79ZENbkcveGTgzF0tg+AmbGgfWu5I6bxp69fYv9i8AHqng8a/C6rAtriqa3chATdwjJO9GDlX5oOGLZo7nrIcJ3do5z793TajBXAz+9ijcUMQ3eeyUU+O4tYk77Xxx18pr1mLY08Bpo+qlmQDCxC3gnfkyy1zlJWxp48XR8XjPlMdED8FvfyPHOCiU1q5NLY1QrnxQApE/+NlMJ9nYH/AWw7ut7yADoja9kPdLeIPNZ/2Rps0dDDjzfAKxp4OXjtjFAWo9BpsYAZ8R1EfblQOSIk2pu8GZ62aqgl3yXbUsDrwCP5rWDFvXodaoBsIj85gAQCvumCV4kHQlA+bEX2UqIgVQBQC7rApQAzIyBRxACwEl5iJFbHLZoSrpZg4E1DTyBexsxT8rnQyJUGWtfBnVAMDnNVHjggUeDErCvnSk8MM7BzranEwAE4LrZmkZrXsWjRrosc0GDgAW6YLakYwKAWh6z1GBiWw18PxMaMUvKV5BRekwi3mYHH9ooslptnmJ0A71nzak232nnzx4NCHF+con/D/252m2n0JXzzYmgjTewGcDK2Qxg5WwGsHI2A1g5mwGsnM0AVs5mACtnM4CV8w9dqTUrSps4pQAAAABJRU5ErkJggg=="
|
P _ { \mathrm { ~ d ~ o ~ m ~ a ~ i ~ n ~ } } / P _ { \mathrm { ~ m ~ i ~ n ~ } } \sim x _ { 0 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAklEQVR4nIWTW5mDMBBGT+MgFrAQC7GABSxgoSuhK6GVABKIhEUCSPj3YckN0u28wDdzJnNIwk18iDG/djrimasyIQMuvoQyJWkBvE4Bd0mSORocdYSYMsAKdFfAJ6C1wpoyko5HFZ5B0aG1ADOWOOKNo09Ay3FNPW9X6GyStE3HXlFy3RuOIQ017V3Yo+MB2BMQcs8f4C9AcmyPyAqYfSfjySG3mEBjm87AecJcWJmda8y4NNQ06uuLnv+AbxhqIFT18MVQfNYE8FOc0+awW3G7ZQGXM4uDR3n9NQLYcdokLY+eui6koTLAPnUCNBVn5e5bVddNAHuYAfDufCrcPv3+v5N58b7c4CXCAAAAAElFTkSuQmCC"
|
U
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABzUlEQVR4nO2W3XGrMBBGTzJuQClBKYEWnBLcAinBKSEuAUowJUAJUIJVApSgPBiMdkHInjzkzh1/bztaDvsjrfTi+Z1ef/n9E/AE/C+A3T1OXYXNY4v+pvZ48es6QBFZ8jdAn0O97nMB088sAM4a8G2IAo6Qz2EC2DmgK6DOIA6wYkU5Mka/AajBBiaQBeYrnN7LfXHZR3tQQdACBwhf760promuR9AD/WzWYQW99zs4W7O1CUo4BA4dkAXLO2muZ3AIzA6sDezkVu46rAKIPyYBpQzAuQcBg+zBogRJQDWwD1PuUF1MAmQGdOr7FMA1GHGQG921BKCUFaDhcYDO4CFANZAJf72NkgCVwbIE2wBXYUQGbngMoM6RquHw8ZEC6E0gh0HVpCJoHFbumibcRieyBGBRQhcexZO7wqbJkqMnkhpF3vuCeRq147cToDXAXrh/w0FOtxwYL5/CjKs74IvBNQDNW858iS1KWJbAJwDdwJTNdVAHmsJo5TT3fjG32ymC9ceqPgbUq274iHpzy3dT0TbqURRTHKAziOgl8lp375j+HkAsAj2K4orUxoxdSioCOMs7fEOxR9aR+H0vFCvi3fr7h+YT8AT8G4AfXfG6qvu9UOMAAAAASUVORK5CYII="
|
1 / L
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA10lEQVR4nOWTUXUDIRBFb+pgLGABC1hYC7GwlZBKwEIsbCUQCVkJVMLrBwwh7Z72u6fz9WDuDPDmcBI/x8sv+b8HfLweSY3YjM31hUtXDyBDHos7DnOYlxbCM3CFdcprhesMVOsVOaVNkjYv6MDZz1ygdCBNwB1iIwPmO61l8+ENlvb+nQjADjYZ9Q7JRXSHZmD3/ds38WUWN281Stolh+VDGFanVxjUbmfss/Bh4L6tkhQsWJVUrLvgQA1YriWRM0ut2Yj1CVBJAKlIZwB7zOX0//7FYXwC/RsuSX/gEMEAAAAASUVORK5CYII="
|
\omega
|
"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"
|
\{ U _ { i } \rarr X \}
|
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"
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8 1
|
"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"
|
{ \Im m } A _ { 0 0 0 } ^ { L } = 3 a _ { n } \alpha _ { 0 } + 3 ( b _ { n } \beta _ { 0 } ^ { \prime } + a _ { n } \alpha _ { 1 } ) ( Y ^ { 2 } + X ^ { 2 } / 3 ) ,
|
"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"
|
p _ { \theta } ( \mathbf { x } ) = \prod _ { t = 1 } ^ { T } p ( x _ { t } | x _ { 1 } , . . . , x _ { t - 1 } )
|
"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"
|
M = 1 0 0
|
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"
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- 1 5 - 9 - 1 + m = - 6 + m
|
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uxhhjRDvyJnlM11RxQOa5ZBKIZD2U5druxwEpu9Eq0h18IgGR5NeQSbsZ7Um7mbHyLcVVQTQq9NV4jTodnim2KgEm8/s9lxx84yRlBEF8LrMGbqqIRVIGtbHcIy5lxKQxxiAP5TWJgrtpB5nL5m9gjDEVa0zLGFOvRcxvCdAY8WOKvcS5jfB64GdH3UE6uEtrWLgv7XaG5VvMUIV8oMbL1GnxzpEomya9ONOgeoL4e3w9JvgAgG810h9NK6vX3eODElD6MdBmQHzh9+6DKphY8AjvpAEAlEoF/t/YjYXlG0k4o4KPfdRpGO1G2GRdKs53mzGdIIhPomfgX4j2mZ0VAL6VXLkugvpG/q90ldhTHd+SagRB/GkG/cB3bOzm3xcm53d7oA5I/hX/3lUdcm+C+Cdxe6EUq3o5zMFuQXxasX/2jevm8Yy/DlKHIIgneRh4fAAUVo0nnIPlyZre0Sq6/0tDBUkdgiCe4xEDPxQGh+KfCUETBEH8duwY+IkVEfk3QRDEL+HRAk9jzaKV/SIIgiCIH6PXjZAgCIL4LcxNZkUQBEF8KGvmAyeAsqQhMwRBfAjUAl+Djr8Pu8x/SBAE8TzUAl9BFtM6kwRBfA7UAl/O6RjeKX5CEMTHMGiBa5q4zge7kX0TBPFB9FrgxX//+/r+mZJ8Pmfyb4IgPgm3BV4cxPW0bJnJt6M0AJrYmiAIosUxcH3Elat9VnrfwHT05hsAKIgxi63iE/GwMtMKnImAbpkE8bE4Bp5pwbFxNpRitHUcl9flWVxUMjEXYo5YfeTE1+NH3rJKgb1VnFZ0gjRVYPV61mEQkocTxGfixMBTBECwZT6Ur6/DYRh6Ud+XNf4h1Hfq/zYI9NabyysZP/KWdQrsruK0ol7Kw6mU9yq/m6tAdjpuyIIgiDdgt8D19ui30f8Nu0irg07WLEEQiuMJEwnK9zXAS9f3Av+dw+jv0vvlSgV2V3FO0XHUQYu8bnWH4aH4yMcegiDgGrjCsIl78C2W24OJor9Jn7RcZx48OZyYd9WCYtf13qYpey8CJpr+jHsNfLUCu6s4oah3HU110OLWfTp/k4ETxKfSM/A9uSixNhojZBx7DVy9ce1H7q5WuTF0s0GBPfKwVfQrGntWstdHzayQu2CaDJwgPhQnhDL8Wg9ahIvRKfrOo1SJLh5R4GGMZdm8u5NpmQ7am5kCRIjyYeCjaZ/nUT6+x8ToIwrskcc6FUcVneJSIrKfdETxtucegiBWYh6EQG5cEpiFBP20Z/BeXgJgAEJjjDEV0P3cjUWPVKKX8bX2j6ASCJpNnrRP4pbPQ9AVwtrUV61hoMA8L1BxqGj7U4MjMcaYO8CqtcUmCOJHsHuhjLxAe2LqvcwNPJSHk06qyvA2kJ0nQNx8xZN2NwHlRnLSYymuVZWoi9WJcDztUwzK9zzZDr1mnldxoOg0KUDdBgnilzA1G2GZphoxUD9Sp5lAIWRtHEeN8q4vutSB7C5357NWsH1AHXSYMABl40gsQFaoNAL0kT+CsQIo7JhrdkJwZUDED+gy9KT1owb3pv4LvEH5xigADV2MxsSHirgKpCm4ZrL+2TTjrODNhyzjgGaqOZC9VewrOkO2OeJPEMTbsVrjQS+Ecs9zIM/zvDLGyLMxpgrZzRhjTH4GquhmzK19EA9wdT7ngHxkVfFmew7c2405wI2phLAf2d0QRsW6B3rmlG40rZehJfXCB6PlGzAmWhv2GCpiK1CFLDfG3HlujKkCURljcpYYY0wSVMYYEwR1Xvur6AkKjYdQbgAogkIQv4QpAzfGdF51r7+7dyHZAPJujDECt+azcD6fnczC1ofPYPZWJJVwQ66ut8qHgQWub46l9TJr4OPlW0Ybt+4rYisQIal/JjTGBM1vJbgaY3h9gLfGwPdXcXCwbbHHNp/hCZkTBPF5LF3QQQMqALhQqnse5wDAutB54Hx2ghZFhqgOBTiDcc4ZYlXmEyHXDN04FO12IpxPa+88DKE4nzzlW41PgSLlj54gadHER6L4FDCU9X7tz75CRYc2nKS7LkZ2OEn3pSEI4nNZauDirCPA9uuB0004Xwo0Haud6Ux4lOosn0inSvD2nWJvIpTZtAuLNlW+tXiTtq8iz0EIpN1+osgi8BRhALS9BV+gokvc9QxVh/qv3R+8fGNne4IgnmTxijzyzFQax9aow35Lzd9y01nXs8E1SInp0ZXW+0LV33Mu7Qq85VuJV4Gs+YpHzH0vWQBnpIev77gUM3lsV3ENtGYcQfwilq+JmV4QhUL5J/7wU3TNusJt4F0AfZkY7GI90A/GYc6ltZnpheIt317YP696X4S3Swal0vPccJvNKrq0ze3D6EjM4Vh+giA+lkUGrgT0sTjL+T0fOL3fbOux2oqnLD/qS+RvPVqu3Z+oZTatTTywJce8fOV7Dk9bepC/uKJQRREHI7+8i4pr4O7dpjwh8s5tQBDED7MohBIDlyLs/Ltc8pwt6mHedYJuqzMuJU6TIAL6C0hYTiQ6O9Gp2zT2pN2Gp3xPYilgZ8qt1wgQwBFAIPOzzqbz2K7imntSaP0ggLgoqVc4QXwsS2PgqTUrabpkZJ9tt107MrW7T6SXJITkbnbasRvW2dbFtaHRtH6GY92d6MF4+Z7FyilE686xRthFURQiIKvtXI6Gn3dQUa8ycCZRPhz8kuFKnVII4mPpGfiwZ0kJlFZDuACWGQITTn+VAgCUbcPpKYkAJtuh4DUKsB7ZQyDVAJCmzq+Op93MaPmexlIgEo0r6pLhzBrPTrXkQOftY7+8g4quorNIgWN7L4hjJNQnhSA+GKtV2hsqY4wxEmdj5NWYoB5QIyUSExhjDMfVGGOMaEba9D+b5DENU8UBmeeSSSCS9RCVa7sfB6TsRqFIdxyJBESSX0Mm7Wa0J+1mxsq3HNEc+ZQCN8ZuxpgqvJlu1qkbCypjDOrBrYmYy2OjinLdZFamEmAyv99zycE903QRBPERzBi4iZiUkTGmihBez+HNBCxI2kHlsvkbDD4bYyrWmJExpl6LmN8SoDHix9R5iXMb4fWQxY468B7cpTXC25d2O8PyLcY9cq8CVcQiKYPadu8RlzJitfciD+U1iYL7UFWzh4p9RVt8Bm5MM98NxJkG1RPER/P1mOAD32qkY1lZskffhwCA4gujovGF37sPqmBiwdO4k6b+faUCvl9cw8fC8q3DORqtrL6L1gcloDS8h/isikNFG8a7ETa/UyrOd5tmnSCIF2Eb+BeifaZmbfhWcuWCBuob+V/q9bBegT3ysFX0K+pdUo0giN+C2w9835Zu/n1hq/qOqwOSv+Tf6xXYIw9bxQlFyb0J4tdj9UIp1nVXmIfdgvi0Yv/sG9fVS6h/NGsV2CMPW8W/pyhBEBaNgccHQGFsLOAzsDxZM7eGiu5/bdTfSgX2yMNW8Q8qShDEgyYGfigMDsWfij8TBEH8cboY+IkVEfk3QRDE76FpgaexZtHTHSYIgiCI92F3IyQIgiB+EYsXdCAIgiA+i+ULOhCAPTCVIAjih6EW+Bp0/H3YZf5DgiCI56EW+AqymJaMJAjic6AW+HJOx/BO8ROCID6G0Ra4pnnoxmA3sm+CID6IkRZ48d//vr7fX5LP50z+TRDEJzFsgRcHcT0tW2ryrSgNgOaoJgiCaBkYuD7iytU+q72vZDpy8w0AFMSY5OnYV5lpBc5EQDdKgvgFDAw804Jjw6QoxWjrOC6vy7O4qGRiOsQcsfrISazHj7wmLaPFMzzureCa325SpAqsXn85DELycIL4dAYx8BQBEKydFuXr63AYhl3U92WNhQj1nfq/DQK95cbyasaPvCW7lINt5XCTN59nFBz77SnKw6mU9yq/m6tAdjquSkwQxA/Qb4HrbdFvo/8bdpFWB52sWU4gFMcTJhKU72uAl+6dJPDfOYz+XueTxQHXkUm636LgFOqgRV63usPwUHzkww5BEA59A1dY1cw9tOviMlH0v9MnLdeZCU8OJ+ZdgaDYe8m3CcreS4AJTRhfaeCAGjvGNyiIiZUw1UGLW/fp/E0GThCfz4iB78VFibWRGCHj2Gs/6o3rOHJ3Fco9QzdS6aWr5OytIIDYsxa9PmpmBdsF02TgBPHxDEIoq1LrQaPR+i5F332UKtHFIwo8jLEsm/d3Mi3TQZszU4AIUT4MfDTt8zzKx183NzobNdAx9lNwnksJ55WnKN72tEMQxFb6Br4uHJBNfJdq7jZc01SBaaAMAEAfADRruKlD2O4axX37yeISAIKr6tzKk/ZJ3PJ9AHspuIDyAuY8dCy+yxAE8XP0e6GsaoGrqZn5MjfwUB5OOqkqw9tAdp4AcfMVT9rdBJQbxUmPpbhWVaIuVifC8bRPMSjfz7OTgktIAeo2SBC/jgWzEaYpuGayds8046zgUgAo01QjBrpnb33RpQ5kbQRawXYEddBhwgCUjSuxAFmh0gjQR/5o7wmgsKOv2QnBlQERP6DL0JPWjxrcl/qv8gblG6MANHQxGhM/apR3RwH7KDIOaKbyer8k8Oz/CgUXke0b5ycI4j0YlwDInQ1VyHJjzJ3nxpgqEJUxJmeJMeae50Ce53lVJ7xGN2NuCOp0OSCtXHizPQfu7cYc4MZUQlTW7wGh/esMrPmWOSUbTetlaE6Bu8No+QaMixYgN8bkZ6ByFHh8lwS1RIExJk/g2X9vBYNeTTYbg+FGcwOwSEiCID6JWQOPkBhjTIjQGBM0bprgWqeGlVDcjTFG4GaMMebsZBS2PnwGs7ciqQRzrMP1VvkwscD1zbG0XmYNfLx8y2iNMoB0FHh8x+tjuAWT+++t4AoDPwNi9jgJgvg05kIoRcofr8TSonm6j+LTcLaMgAMAa8LoTtCiyBDV+zuDcc4ZYlXmE8HXDN24FO12IpxPa+88DKE4nzzlW42jwIOy3jDMubf/KxRsaINIuus5ZAeRdF8QgiB+A3MG3r5IOwchkHbeIYps0NVhwvlSoOnj4ExnwqNUZ/lEOlWCt+8UexOhzKZdWLSp8q3Fl5SnCANg0Cmwv/8LFGyJuw6f6lD/tfuDl2/sYk8QxG7MrciTNU0zHjH3rdqwB7i/Daezro+Da5AS06MrrfeFqr/nXNoVeMu3Ep8CZ6SHr++47Gfd3/8FCi6DVoojiF/JXAvcvrSV74s5iq6BV7hNvQugLxNjZqxH+8E4zLm0NjO9ULzl24nwdsmgVHreOE3JEwq2tM3tw+hIzOEofoIgfgFrFjX2tfTUmOc5PeBs+7FyOWX5UV8mJj21XLs/SctsWpt4YFCOjfnKtxviikIVRRysyXwXBZfB3RtyeUK0dLg/QRA/x1wIxTZNbr+es0x7dDiPsKIsj+GdztiUOE2CCOgvHmG5keiMRadu09iTdhue8u3GEUAg87OeGrk6YBcFlxG6IbG4+JjRqARBTDBn4GE3XD7WCLsoipqdtNS2264tmdpdKNJLEkJypHZoRjv2wzrruri2NJrWz7A/nRNHGC/ffmT1XUiuizXvouAymET5cPBLhit1SiGIX8CIgTsWFonmytYlw5k1VpRqyetdS2Dwbg4AwMTDrtq2pLJtOD0lEcCk24JXgPXwHgKpBoA0dWxpPO1mRsu3J+1NcFXmuyi4EClwbO8CcYyE+qQQxK+g1zIN+ltujN2MMVV4M8bcWFRvq4cWGomzMfJqjDG8Gdsj2pE3CXibR8UBmeeSSSCS9TCVa7sfB6TsRqJId0SJBESSX0Mm7Wa0J+1mxsq3HNEc+UAB0w6mAbsZY0wiJvffW8EVA3mMqQSYzO/3XHLwkXQEQXwgswZuqohFUga1adwjLmXEOoeKmJSRaQeZy+ZvYIwxFWsMyRhTr0XMbwnQGHFzKzDGJM5thNcDPzvqzs/BXVpjvX1ptzMs32LcI3cUMJ2B56G8JlFw7/bPB/vvr+AqAzdGNi17caZB9QTxS/h6TPABAPhWw25mWlm97pwPQFl6VngB4gu/dx9UwcSS8SZ2mvoHlAr4S+IaDgvLt5ZDkQeAElAa64/iOQXr3x4UaHxBBwBQpeJ8t8nVCYJ4OX0D/0K0z/SsAL6VXLkugvrGiOn8YkZNdDlPKTj6294l1QiC+H0M+4Hv19rNvy/uKgFzqAOSP+Xfz7K/guTeBPGH6PVCKbZ0YfDBbkF8WrF/9o3r5rGKfxJSkCCICSwDjw+AwqrBgjOwPFnT81lF9782/u+8dLotD88o+OxvEwTx6Vgx8ENhno3ZEgRBEG/DiYGfWBGRfxMEQfwOrBZ4GmsWrez0QBAEQfwU/W6EBEEQxC9hbjIrgiAI4kNZMx84MTnylCAI4r1QC3wNOv4+7DL/IUEQxPNQC3wFWUyLRxIE8TlQC3w5p2N4p/gJQRAfw3gLXNOUdCOwG9k3QRAfxFgLvPjvf1/fby/J53Mm/yYI4pMYaYEXB3E9LVtr8p0oDYBmqyYIgmgZGrg+4srVPsu9r2M6cPMNABTEeBG29k8E0MpMK3AmArrREsQbGBp4pgXH+hlRitHWcVxel2dxUcnEVIg5YvVPTWe9XLudtZ+uhwnSVIHVq2CHQUgeThCvZhgDTxEAwco5Ub6+Dodh1EV9X9Y4gVDfqf/bINAb7iu/ljHtynJsz921n64HL+XhVMp7ld/NVSA7HTdkQRDEKgYtcL0p+m30f8Mu0uqgkzXLC4TieMJEgvJ9DfDSdbDg7XeOMe2KA64jE6bvrv1cPYyjDlrkdas7DA/FP/WwRBA/xMDAFTa1c5ko+pv0Sct1NsCTw4l513Qo9lzubYay9w5gDwM/eFcTHjKqXQGoMXV2136iHrxraqqDFrfu0/mbDJwgXs+Yge/ERYm1k9MKGcdeA1dvXNGRuytRvr0BPqqdVHrpikVPau+vh9izqr0+amaF3AXTZOAE8XKGIZS9ctYp+h6iVIkuHlHgYYxl2byFk2mZDlqOmQJEiPJh4KNpn+dRPr7/vOh60Eye2HeoHQC2uAn/tPaj9TDFpURkPx+J4m1PSwTxD2N6hEDe37aEoJ/sDO5uSATAAITGGGMqoPulG4seqUQv42vtBEElEDSbPGmfxC2fh6ArxOrsB1L7GWg3zQu0H9ZD+1Ojx38HWLWmyARB7MCgF8puLfDMDTyUh5NOqsrwNpCdJ0DcfMWTdjcB5QZx0mMprlWVqIvViXA87VMMyrczas0shtmTQZvntR/UwzQpQN0GCeLtzM9GmGUc0EzlAKAvSmjVdjJMU3DNZOur+qJLHcj6QtYK9hWtDjpMGICy8RYWICtUGgH6yB+xAQEUdvQ0OyG4MiDiB3QZetL6UYPbUv9V3KB8YxSAhi56MfE0EyiE5ABQngBVqSwTCYMlUJmmGjHQxBnsJEeN8u5IZ2tnqX/UKJNgNMH+2vfrYYbsB94TEAQxeK4PeiGUJKiMMSYIjDHmxkVlzL1+6q5Clhtj7jyv012jmzG39hE7B+Qjl4o323Pg3m7MAW5MJYT98O2GMCrWPZozp2Cjab0MzaUXCBgt34BR0eTZGFOF7GaMMVUugVtkAkhHoHueA3me59UgSX4GKkc6Sztb/TypFRgmeIX2nlDSeAjlBoAiKATxdmYNnNdWcAuMMRWv3TRBYoyJkBhjTFhf6QHE3RhjBG7GGGPOTj5h68NnMHsrkkq4wVPXW+XDigLXN8fSepk18PHyLeFeH+e9izoDkTEhzn2BHsXvJwkgHeks7Wz1H7HufoJXaD+QqC3r2OYzPCFzgiBeyWwIpayjDwIALmXEACA8pRGKlLv9FAIOAKyJojtBiyJDndIdjHPOEKsynwieZuhGlGi3E+F8WnvnYQjF+eQp3xI0oAKAC6XalBy4ajYUaDrJQzpLO1t9BzfBS7R3UF3R2t40dhBK9wUlCOIdzBo4TxEGAM4AssYBGFePF2XnoOkxPOF8KdB0rHamM+FRqrN8Ip0qwdt3ir2JUGbT2szt5infoqzPOgJsM4UAwEYE8ifx/qatvpPFzGeLrdq7xF0nSHWo/9r9wcs3dtEnCKJj1sDPxzSFCCIB6PLRl0KJrGl0dc1MfxtMZ10fBdcgZTo9utJ6X6j6e86lXYG3fEuQdR9ra5qSpsgDgfxJvNJZ6jv0E7xA+zXQSnME8SPMGnh4u2RQKj1HUACvLSCAWHPRFl0DrXCbahdAXybGzFiP5oNxmHNpbWZ6oXjLt4j0gigUajDR1IRAviQDLPU3sll7l7a5fRgdiTkcy08QxBuY70YorihUUcQB54BY3FnM6cdmm4jV6jtl+VFfIn870HLt/hwts2lt4oHBODbkK98S9LE4y/ndup8SC5JY2j3UX1GmXbRfA3dvV+UJ0dJB/wRBbGd2UeMjgEDmZ52Bs5FAgQ9RD9gGACuVM8IkTpMgAvprR1ieIjpj0KnbNPak3YanfIu4FGFnxqXT6B7NKZ5M0vDQzlJ/Bbtov+ZOFlo/CCAuSuoVThBvYNbAs9phJDQQdVNdxRohsseHIbbddi3C1O4IkV6SEJIjtYf8acc4WGdAF9dQRtP6GU4O4MQBxsu3jNSaeNUtjVcgf5KGRxls9Zezg/Z6lYEzifLh4JcMV+qUQhBvYMzAXQ9rXYgDkmW1n+qSIRLNNavLsauVCadbRgEAyrbh9JREAJPtoO4aBVgP3yGQagBI3Tdu42k3M1q+hbRPCAXQS9wTSKAESjGZpMHSzlJ/OTto79bDLFLg2N3cYyTUJ4Ug3kK/adobL2NQjxdMhDHG3JiojDFVcDPG3Bi7GWOq8GaMMRxXY4wxohtE+JhQqeKAzHPJJBDJerDJtd2PA1J240mkOyJEAiLJryGTdjPak3YzY+VbSlCXRUokJjDGVGiH4/QEkjgbI68jSQbSPbRz1Dei2bGf4AXay3WTWZlKgMn8fs8lB980GxpBEKuZN/A8lNckCupB2PeISSlrRzJVxCIpg5tpB5nL5m9gjDEVa2zFGFOvRcxvCdAY8WMSvMS5jfB69GJHHSwO7tIaq+1Lu51h+RZTRQiv5/BmAhYkbWQmaL/rBDLGREzKaJhkRLqHdrb69Q75IMFLtO/XQ4t/NkbZtO/FmQbVE8Sb+HpM8FHzrdx+YkpA6cdwGmhldcFzPvSJL/z+yKZgYsFztZMGAFAqFfB9+kpMsbB8ozS91RUfhpIcgcqy+38iCYCHDn31l/Ks9sN6aBjvRtj8Tqk4321ydoIgZhkY+BeifeZnBb6VXLkugvpGTv0XgC3aPZve1t5fD94l1QiCeD8j/cB3a+7m3xe2oos0oA5IyL8BbNDu2fS29hP1QO5NEB9EvxdKsa73wSTsFsSnFftn37huHnH4x1ir3bPpbe2pHgjil2AbeHwAFFaN+ZuG5cma/ssqutP4vZaV2j2b3tae6oEgfgl2DPxQGBwKCkITBEH8CtwY+IkVEfk3QRDEr8BugaexZtFTfR8IgiCItzHoRkgQBEH8DmYnsyIIgiA+k/n5wIknUPoNo0gX81mlIQjiWagFvo6yWDaBbUN8SF9Vkg18VmlaVkpK/DGo/p+BDHwNOv4+7DKBLdFCkv7bUP0/Bxn4CrLvn27BZusaK+rj16r8eUmJn4Tq/0nIwJdzOob3H50LRB+O60Znrk7wbn5cUuJHofp/lvGXmJrmBB2B3X72XFMHLd0SlEUJBPXQK62AZi5XrZp/RJSq6ydfID8tKfGzUP0/y5iBF6cS4vb2onw8PzzGSR104swxlaZKMK3SCgBQHIF6Cll9EM1wWpbw+HD74J4nNGzs34bq/1lGQijFgV3Z570YVkVRFJ8dEHgp+qil7d/l90ncb3nUrjUfGomLAqAP4jGjuwz18a3FJAjifQxb4PqIK1eXHyjLdODmGwD+4SeuS+lM8N22x8vH/O0y1XHu+jeQFCp+pp1TZlqBMxH841G1T48qPl0+quhX4lTP9roaVtLQwDMtONbPaFVgbDGtuLwuz+Kikomn/Ryx+sj1BMaPfO/s9AVna7s+Ne3x4lFX7Hwq0tD1b7Dokm438DRVYKIsAIRB+LZLe1LStIzWBIUm8lpzdk6fnNvZqXhu+VZKhB+r6Jexl6wvOX22nkujlTRYJfOxNvoKgLHFgG/r8royNr6SbgP3Lqj7PgaL+o4f+WP3lWJ6szuD2YsFy27delibA3ARGZc7uvWJ15bmHoDJuzHGXAXwKvVXSmqCNctOT+S17uycOzm3sVvx3PKtksi8q6I9+NfJ3sxusr7m9Nl2Lo1X0qAFrjdFv43+bxieHrx1myEUxxMmEpTva4CXbu/UwP9EYvR3ueMPjwoJACmcdlGKOp5SwF4XWRZl0F/RlIdZtm19HXXQIq9zD8ND8az6izXdU1KvnmvPzrmTcxu7Fe+p8u1c0R6WX1NPs5usrzl9NtWVr5L6Pp9Ptn78DG/61fq2/I3h6v0yfzQlX05v5fXHcYw0F6aaO12bd3kjYzy7u3vw17bhLWG3uG8MuPeTyq6RPtoCv+W38YLcGIT1CRNVswifpislXdS8tHL07L7+7Jw8OTezW/Hs8o1m+raK9rCi/rfyyGg3WV9z+vjPJV8t+Spp0ALfr/vJRYm1wVch49i7mpd645K63F0Q+OcXucjcxaZVG5kr7c3qIC/61LtQEFww1QSPi6CfAgCgj5pZMT7B9JPqf5am68/OyZNzb/a+ePDGivbwCfW/Qda9MnKqx19XnlryVtIwhLKuWH50OujlqVSJ7tmpwKMSy7LxI5mW6cBsMgWIEOXDwEfTPs+jfHznDqr62THtyj3jFRr/zqybmjqcI8RF1jsz+La78qWE8yZMFJtevLxO0wnm5R6enRtPztew38Uzz04V7eGd9T9b7SOybvyl6dNntH6c6llbV/5K6jfVw71CKOf2NVtLIgAGIDTGGFMB3S/dWPRIJdxU5lqXNKhE96jlSfskbvk8bAyhJMOXxf4kY9lxt6aiRtzQ2nxjiTGG92U3pnvhMRpC8TzB3uG+Nd3GEk1fEEKx5R7fvX92bjw5n2dZ8VaWbzTTl1a0h431v/XXHtW+UNZ5tpw+nvpxTh/fuTSuhr+SBgN5dmuBZ+5DUnk46aSqDG+f+fMEiJuvePfmTUC5zcX0WIprVSXqYnUiHE/7FIPy7Yl6er613lu9EGWsUR4B0U7GqQ7nCECCMh6Md9rQ/k+Bp3uTvVTTCRbI7Z6dW0/Ol7HTxbOEPSraw5vrf77as70CNzOnz3j9ONWzrq78lbRkQYc0BddMCgBZxgHNVN7/AgD0RZc6kO18HLB/UR10mDAAZXPoLEBWqDQC9JE/oj4CKOwQXHZCcGVAxA/oMvSk9aMGtyXWi/MNyjdGAWjoYjR+d9Qo744CHWWaasRA8xCUZgKFkNyfapiNckPgCJL4cgE/K6hDrX/j3wjC7HLJnz9Ps5ko5bykizSdknRKU/TOvjTjrOBSYCA3xvR0z86tJ+ccvgtn6roZKd7Lygdgl4r2pdxe/9Y1Up4AVaksEwkDVlT7nKy+jHomt+H08dSPUz3r6mqikoZN+N4zQxWy3Bhz57kxSVAZY0wQ9L8wJsA1uhlza58AcrvvhqnaPty51U0iB7gxlRD2w4H7uFWx7tGBOQUbTetlePC955TR8g0YF61+yMrPQOUoUH8njbnnOZDneV4ZY4w8G2OqkN3MeKq+kG2x+iXO86WhLrTKrQih3OB0MB9LNiPpMk2nJPVqmpve2VcFojLG5Cwxfbm9ej6k2HpyzuC7cKavm2HxNpRvRQhlh4r28ET929dIlUvgFjUn79Jqn5XVn5FjcltPn9H6cU4fz7k0WksTlTRv4FHdfy1EaAyvi30L+l8YE0DcjTFGoO4Gc3byCVsfPoPZW5FUwg3uuOeHfCgVuJU8ltbL7Ek4Xr5lBA97dBRothljjHmU/V7rcm+DaINUfSGNMWMGvoItBn7GTLx3/rp+QtPOgMY1zU3v7AuaX0qazlVwYuAjejpn59aTcwbfhTN93QyLt6F8Kwx8h4r2sL3++9cIEBkT4myWV/usrP6MHJPbfPqM1Y8jnUfH0VqaqKTZEEqR8sfb0rJ+nBKDLwAg4ADAmii68+BVZIjabm/Wc8M5Q6zKfCICl6Hr8K7dToTzae2dh4+BzidP+VbjKDCOBlQAcKGU8KQKFmTzPO2jse5e3tuPxrovUZ85SV+sqXP2pUXzfBvFp5GpPEb0tHPbfHJORxd8F87MdTMo3hPlc0v5oor2ifBE/Q+vEQ5cNVtV7dOyTmRkm9x8Rt7jXGVQM7U0UUmzBt6G689BCPAUYYB6FkjnC2Cyk3aKZuAgnOlMeJTqLJ9Ip0p0y/D2JkKZTWszt5unfGtZklScdQTYJ8Qg1Ww2hwUvJeVcf6m4y0Qd6r92B9RyrhizhXytps7Zl3Z7iWKky/vMr289OW0JWywJfRfOmuvmyfL1S/mSivaJ8ET9j18jDKuqffo3JzKyTW4+I+9xrjKomVqaqKTZFXmyxvt5xIAz0sPXd1yK/hfA1I1cZ907VPcgJTD5gtp6udF/jTebdgXe8q1k0d1WnplK4/jRrWSQ6hOmEnq69f9iTe2zz3mlNHJvm9Zz88k5g+/CWXHdvLR8bfZP5+DJ95n6H1wjrQusqPZpWScysk1uPiP/ce5pUP6vZlvgTtrwdsmgVHqOVtV80d1ACvdWcgH0ZaKpaD06DMZhzqW1mXmT7i3fS0gviEKhnpjuY/hUO2T21Gnv74fRoV9irpE/1znhxZrav658Xyxi88n5kHAU34WztoBPlM8t5Ysq2iPCc/Xvu0Z2q/aJjGyTm8d/nGsMaqaWJippSTdCO6crClUUcTDrD043KPsgrZSnLD/qy8TMl5Zr94Yizqe1mXzW9Zdvb5QA9LE4y/ldJ3nDjALcPcfLEyJ3gOeMpG/TFP7clV8nt4fmtpNzFcsvnF7xXl2+pyvawzP1v+waWV/tnrZ0P6P5ulpw+ux6/kxU0mwIxXHNI4BA5mc913m07ufY/WC31ekAH6dJEAH9tSOsQxZdwXXq2pYn7TY85dudGMClCLtzs9zn+VUVRbH3AJPQfSqNi3KlMC/W1M6S2y+YrLNkYlyHdXZuPjlXlNC+cJaIscvFs4ynK9rDM/Xvv0aeq3ZL1omMbJObz8h3nOP1w70fJpmopFkDD9EeR6yR1QcqoXtfDLHttrthpfaL2vSShJAcqW0+2jku1gl0cY93NK2fYacqpxExXr7XkFrzSC4sPWwh+qjT/77jy+n7v8lhaKsvSiZRPs6ZS4Zrr/kyI+mrNXXOvrB7ClYLZ+m0SrT55FxTQuvCmblu+sV7Wfna7J+taF++o8Vehv8aea7arXJMZGSb3HxGnuMcqx+nelbV1UQljRm4o3ckmqS6ZOiOmve/GP6meAjQ3rCUbcPpKYkAJt1bpgKsJ7gQSDUApKlzvONpNzNavl0RKIFS4PFEUQArfkx4Dfw7Ffdbfs/1Zd+1L6XAsT354hjJ2ovwxZo6Z9+ZNRddqusBrg+5PVhn5+aTc00JrQtn5rrpF+9l5Wt5tqI9PFP//mvkuWq3ZJ3KyDK5+YzGj3O0fpzqWVdXE5U07Eje23Rj9YCo8GYM6vGDieh/YQxvOtN38+Qmj/leKg7IPJdMApGsO8Rf2/04IGXX3V26PdYlIJL8GjJpNwU8aTczVr7liObIBwqYx9AZibMx8vrYIiUSE4ylGstmMJnVg3YUwcRs6ZsmszKVAJP5/Z5LDr5+frOnNG0l9Wiam97Z10wYdGNBO0t6K7dPz8fZuf3knMF34cxcN73ibSrfmsmsnq1oD8/Uf+8aqfAYRLO02mdl9WfkmNym08dTP87p4zuXPLXkraR5AzdVxCIpg5sxBnkor0kU3Adf1PeJ5m890t6as7xei5jfEqAx4sccXYlzG+E9G6pjYcFdWmNJfWm3MyzfYtwjdxQwlmVGTMrIGGOqCOH1HN5MwIJkmGo8G3faQff3Wy2Yb4TcrRvNusrAjZFNi0Kct9wjt2vaauDVNDfGOfuMuUdcyoh1h9fJ7dPTOju3n5wz+C6c6eumX7wt5Vtl4M9WtIcnrinnGsldbRZV+xJZvRnZdbXp9PHVj3P6+M4lby15KunrMRtBzbcavmTWquk6pASUfoyteXwxRnzh9+6DKphYMujATgMAKJUK+GviGjYLy7eWQ9EOqCnLTqmmd7viMz2AbS4xZmaoGu8lBqA44Br2SrMkHQBVKs43T7f+Mk0bJZyzr3cqWnKPY59pm0/OOXwXzuR1M/yt1eXrJLJ5XUX7Mn2i/ieukWeq3ZHVk1Hf5GYz2nL6eM+liVoar6S+0QN7za+9YXnk28bJyD+W1Ysa+7jPrifHfBW3dUm1T2Xtir0e1q+J9daT86mLZ92Sav8Sm5Zs3yUj5/Txn0tra2mkH/huzd38+8JWdXlWByQ/v3rZR8LFzPTBSvteihTT8z2/oVP5R7L27Hzzybn/xfOvVrTDaln3ysipnom6WltL/V4oxZYX2R7YLYhPK/bPvnF905JVv4+ue5OHC6LxU6JUP7385Gey8ux898lJF89LWCvrXhk51bNnXdkGHh8AhWVjxRbB8mTNUBUV3d+2aOyvI2R6atRSmvkWWb2A/60L+7x8hqBJ1p2dbz85n7l49pLoD7JS1r0ycqpnz3PJfol5KMz46w9iK6OvDbcRX9jdGwpR38IzcWX5H5LWwHcsDUEQH4AbQjnFhedBnPhpzkJ7H9mKg8+/cULwtxrgBEF02AYesjSV+ywRTOzPlWWeIEo64d+FuL6uSARB/Ci2gUeVqegR+2PhOY+PY2G39BR5/FsfU6+1EwTx65mdzIr4GMQtzEb6EsanKAGA+Gvwlcok+TdB/F1WzgdO/CTsWgy7CJ1S/9zJnN5IE8Rfhgz8VzH041OK2Dsl4xvmICAI4uegEMovJ/3pAhAE8WMMJrMi9kTpT2oEf1ZpCIJ4FjJwgiCIXwqFUAiCIH4pZOAEQRC/FDJwgiCIXwoZOEEQxC+FDJwgCOKXQgZOEATxSyEDJwiC+KX8H2kyphXMcc/zAAAAAElFTkSuQmCC"
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{ \begin{array} { r l } { \int \sinh ( a x ) ~ d x } & { = a ^ { - 1 } \cosh ( a x ) + C } \\ { \int \cosh ( a x ) ~ d x } & { = a ^ { - 1 } \sinh ( a x ) + C } \\ { \int \operatorname { t a n h } ( a x ) ~ d x } & { = a ^ { - 1 } \ln ( \cosh ( a x ) ) + C } \\ { \int \coth ( a x ) ~ d x } & { = a ^ { - 1 } \ln \left | \sinh ( a x ) \right | + C } \\ { \int \operatorname { s e c h } ( a x ) ~ d x } & { = a ^ { - 1 } \arctan ( \sinh ( a x ) ) + C } \\ { \int \operatorname { c s c h } ( a x ) ~ d x } & { = a ^ { - 1 } \ln \left | \operatorname { t a n h } \left ( { \frac { a x } { 2 } } \right ) \right | + C = a ^ { - 1 } \ln \left | \coth \left ( a x \right ) - \operatorname { c s c h } \left ( a x \right ) \right | + C = - a ^ { - 1 } \operatorname { a r c o t h } \left ( \cosh \left ( a x \right ) \right ) + C } \end{array} }
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"
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( 2 ) 3 2 0 + 1 6 0 = 4 8 0 ( g )
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"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"
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\kappa ( t ) = \frac { 1 - H \left ( t - \frac { L _ { g } } { K _ { \mathrm { e l o } } } \right ) } { m } \sum _ { i = 1 } ^ { m } H \left ( t - \frac { l _ { i } } { K _ { \mathrm { e l o } } } \right ) ,
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"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"
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\mathrm { d } r \rarr - c ~ \mathrm { d } t / a
|
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAFhUlEQVR4nO1a0ZWsNgy9m5MGnBKcEnglQAlsCaYETwlQgilhKAGXgEuAEqAE5WMGMGAwzM47m018f5ZFRpYvsiRr+CAEHOGP7zbg345AkAeBIA8CQR4EgjwIBHkQCPIgEORBIMiDQJAHgSAPAkEeBII8+PO7DfhGmGF9J2KbQR8/od3RdQDA+YmRVddFPN2u04VEr+/U8YM0i6iVB5UQp3Tbjxh19ZHLUxQAcPcTVNwAaNzyU6uINncYigoA6ni+RzYUa+gqGqYuP3MREvWpcTmYkJIDuL9tugVBr621Pmn+6zhLkGTtYzjY26azt9iQxZc3GIBYfrbnNv0xtB668ZrdX9FgJAeA3OjBbPfPa7AJKrr6JR15dft6GKpunfXfiXjsQvr8o7FJUK/CqoO6QkyOoLMk61zjnZDlJh9cxe2zE/d+cux2f+SBafLJ6wV6vQu1CCogn1dDlgyR/mXOziJ4ed4kJ6qCNepMdj40bcw9nStDXdb2xByOWPq86CN2J6KUExGRkmfCWu8fdASOo/Q5R81zpgmIU7PuaNvJYjXySb8iImqhiEidySB3fC3V18crmi0+ZVoLdu597WjbIWi6rRA/LqKUqEZKfrQ44WYHkMeFy0XT0pNVwZ62BUGOw2o0xqJYY8iEM+F2y23LYdyCk+gQ+wedNA1lpd6ozXFYjZpnhIsGFJEjgXelNrkrCu4KAHQlIB9RWGsAuS0c8NdyNHenMa9pAEy2PGh8VqsB9/SCNudpflwigy5dhvL8ZpzvaFcAACi5rp95qozWNK4e28tnPtMAkwi5uMHXFs26/dp87Y5MuC01bL1AticYwXNw81kDQBwbubSaQ10tDXdMG5J05Qq5a9hJbbAJco0YpOMmgLWfmLE2WwjM6Nz84fOdyjK3I3Poq4cct2lbfr6iDbALxRjrctjAKt2MVW92AwdgjTdPb7UF5tcvbR54PloahcxpRYx1oPBgYdpQjgeLIdkLJee1rTB7UMS3BE2v9dYNhrWzIAaKYlCj3LB0LeiSqF1tm/jzvuNDUazLSy5kmYZf4+wYki7XeDTYxIU9a466YHa10S7rBMafF33cEPWRNZJIxPd6LMf6sQyyBGlEK0ipWEtCEFG8LlQaNpWpDmzbHZNpRC2mIsze31daMJa2zXRWkJZlsXi7ehgnLBABbGbZxMhsXy5G2SwYKkdZIfBZu30oqpNbmVpN1eNKZjYN0GDPAFK8eGS2tW1hMaeWByI5vxm+9C0mpV05t0xuBPWyVUlEJCWRinoSYutBRO0ij8T7r3RpGlF65HunIFfngN2GmdBZYxM7vUbx+Tfn8bSCbhi0vZobzx2CD2u5U59JIKlV5orUXCk9nC3DZ9PQVfFuBrqubYtFHaQSy/0HMxVSaVsO+mbGTaPBZTa37G66cQms5pvFpkBSq0Q71xSPDS8fLNNQsK8262xtDiycy25K3zGFrpaIKJr6vCmnnk3Hb6vRbwnadcR/bDEiUlHf82tdbIm8rutZoWVa87X+/EobUVPXtdjbYkBkvfaZV1PlAB651FSC6xQsLcf2XaQm/i0B5+VOCSu6pLlYNvNYa7sktl/5upa4joUDVQZAbAeQXWJjPnrGXRJRE/VElINTg5yoRdquWxwLgdq0iMQ4XghHkL6C2bR34FjbPkFzh1ghkuljdQJ3ytEQkYBcd6WWAoFU1Q80RFQDU3Fy9mccv2nvwLG2fYIs9PVzQT1LnxFp+mNhJain+j1ej+zfusLfimu/zd+q5h2/gP0kXPr8pavu/zd+rn3dMew2sv67+BGfv3wnftQXZvpjjeS3z/mjCPoOhC3mQfAgDwJBHgSCPAgEeRAI8iAQ5EEgyINAkAeBIA8CQR4EgjwIBHkQCPIgEOTBP1WjpBuErmD8AAAAAElFTkSuQmCC"
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( \gamma _ { s , k } ) _ { k \in \mathbb { N } } \in [ \underline { \gamma } , 2 - \overline { \gamma } ]
|
"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"
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S ^ { * } ( g h ) = S ^ { * } ( g ) ~ + ~ S ^ { * } ( h ) ~ - ~ { \frac { k } { 2 \pi } } \int d ^ { 2 } z T r ( g ^ { - 1 } \partial _ { z } g \cdot \bar { \partial } _ { \bar { z } } h h ^ { - 1 } ) .
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAklEQVR4nNWTzXHDIBBGHxk3sCmBFmiBlKAWnBKUEpQS5BZcAipBKkGUIJewOQAGyXFyy0y+08K+WfYPo/ysl1/8fwVMl4+31ym+G2Muj4SqOoAgAF6PQlV1AGQMZ+z8PRCA8OBKKkl6/yTJE8AEXXMXI1ReVbWD9R5z9ogXOW9NDi5xyS8Mqjrgtgo05a3Jr9rj7kCAvgAdNhkbjKWKBaTkdy3piueztPoGLgPXajpizMBSq4o1WDqlYWGbq8IKTJRxW57qBDRraSFm+paCHRbGpofr6Qh0sGRzwVpoepzkcwN1zY06ArPkzWhbvdMoMqpu/W5Y+xgd4pE+j9v8h6/3BarjMm9Y8Mv0AAAAAElFTkSuQmCC"
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r _ { 0 }
|
"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"
|
K / n _ { i } I \left \langle { B ^ { - 2 } } \right \rangle = - k \partial _ { \psi } T _ { i } / e
|
"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"
|
D f / D t
|
"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"
|
V C ( t )
|
"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"
|
N = 1
|
"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"
|
n _ { \alpha }
|
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"
|
A D = C D = A E = C E
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABAElEQVR4nNWU4RGCMAyFXzwX6Ao6Ao5QR2CFOgKuwAi4AiPQEcgIugIj4A9okbanAe68I7/eJdfvkvS11GNbHDae/yugJioT6V4aT6UU2igtB2jVtipbDyjQ9H2FIswfpRvoKg0YcJinXfjgTkR08eo8r0oWaIDcrdIpF6IRMqAYlALy5SPgBWSD6tYC9KjYkZYBpmPWo5YAXr4DBk4rAAwHsIg6kFiZAXJahR3IAGZc/TVqYG6kqNiM6Wqot4hfo2AH1ruA4xXMR0i/TP4EhDaQ3MLMRmoFwHofxz6UACYb2cQEAkDtVcKHEoD1pEeq/NNINwuU0EDHJlXfx6f6Nd6PBUNzZ2YKmgAAAABJRU5ErkJggg=="
|
- \hat { H }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAWklEQVR4nGP8z4AfMBGQH6kK7gkp41fw/r0Lmsh/NHAXjY9hwr33eE1QwjASjf+OwZiAFQxK+L15lpCCPQzovkRT8J6QCfcIK3j/Hq+CUAaTdFQRxtFUTSUFAGsrar2r1tf6AAAAAElFTkSuQmCC"
|
i
|
"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"
|
\left ( \boldsymbol { \nabla } ^ { 2 } + k ^ { 2 } \right ) \varphi ( \boldsymbol { r } ) = 0
|
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lyFi4QB3jzs9Jq+CdKC5bVstKMx/omMxH31u4gFAom6hJoNx4oeqtK3cu1i4DMajtNv4tHw+LjrYz3y/zlYcBoaMsfv/mRRWv1Z6jkwOIZQTX5RqyAHFA0q9KAJgzAKa7Ut8pGXgeeU0vcjRR4TWS35pExYsyuQCQw4YYbufH4icRiG7+ot09sQzzPiqX2B5iUutYz4fvA7waVvd/06LTqrqUDOqSTn3LKaj8qCTAAuVhQugYD81P/gec6FpD6BiA0HUBxoFXCwzGgaNvM/VOEICRUnCGu1Ir+a4KptQdW2k1kj+cRDFcAKI33J6FPBVqNOae6NTAitUwnc0fZNpaQ+S0/hCn+lxS/69u2A3ywADUVkgFd0Rk/FtO4fANnbh5mSXKw4TQkehwv2LsOvDkbs1y3bQNQCwjQIcLEAcf03Z7PoY603WbfOrnjSWsp/cXjUyixCUA+l0IuxaSSw8ApLyosFN2c6R9upSPvnozxNDpr8l4/bHN/x6VVZW8Lvwc0KSspCkhT612guPf8gHy8Vt2wiLlYUTonPPx9tblqzyeVwuftHMAYWH4Xs4CxEFUPMLj5ipCm4MDRjSpYQcAcqOnl0cmUSILsegqu14KICzOpdIziA/evDWWw6jyS/dWquqPpayUUKIeRYBIbSAoESUSSghRreHHv+UkLvB61m4jLFIehoTOPx/e6VGp43m99GnLAygcgNddgPh0KWe5+KI0sCkDYDoFILfZxGxsEhWxEQ6p2iar5wC0Aut+iLBeTI61gq9DN7/R8unOW3GfVgTIAwJyN4DbKgPRvOcHTsvjH/+W38Iy5WFK6Hwc3rf/QR79FfVmywCEVeRrPAuguKzOZkghqFOpDSGF47TuVnyqMjhyoRu7aySgd63OBTw6WKVKLsvHJLlyZn2eUJA+ACU4cYyGk2bAhXJnjGFsEvEi0uL0St90LKQ40uaeUC9JzuVnJbIdcFJHzs5N6IY/8+BE3X+stiMqhg/gfgBXyIene+58y0kIsO0s8FzdsVR5aBe6Cp+8UU7Yqr1n6i1mUbPfbOwswJW6Ptwsz/PUJS5z4FzzPM8jSj1GUdfwyCNQt4R8U8d5Cmgsf50xQjyfsN4hn5tLPJ+QS57njPi+c7fOq1vtHmTVU8584jIX8LPBOyeOfeit55R6oB5zyMNLjk4ityz52Tu30D4FcOk2Tk+bE2LdGvxF+dC0/OoZnVHtZXAfmiYKdT3/oo03u38/2ViBx6zzBO58yweD23YxiLm6Y7Hy0Ct0X0lzm2kzC8cqLDnnPPfg5jkrinb7ILc885w0z/PcrbVUJ3+zx+L4T5IBGhtTpAQsy/PMYaytga/knOd5RnDJfT/Lc0buzf7aAKTMJwDyG2VZnudX0m+15E5qGp0G4OqCpnme5+kjCzA6idLqcJDTyHyWpgxAWsBoXx3QqrRX2n09Ar3mV3ImJMvzmzNH1fbvw7U2Lk1HlgxIq+O9o5DBieVrmjKAXNI0u/stZwxu2wZgpu5YrDz0Ct13UhuAqD2Fhi5ARPM8Z8DVLw32DfCzSnQu9cm9jnexTjmjTXDRafCi5gAsaRV7v5bNOBjo2cmK1f0duXdbv7kByJzy+bC+Rp9W8RoNQNR4H+zB6m50Ep2rXlRR05Rq6Cv3Zm1199zewXpGfZ9G+ZVS5s5r9tG/DykqRX9tVHUEt6oJMcZlqNOb+EXxvMa+5YzBbdoAzNUdi5WHVqH7UmpRpO0bOXQBnHOe5wygtbkGqO83719WuiL1Xdc7j8xwZ6cOHQO06cqomf0+Wqf8nXPzWWleOMB3tE3bAOQAWDW0Qd2YtQxAu854+pS6Sm/9/zwkK3siDT/wVi65r+nMoQzuQzOKazOebPJykw2J+5ed/y2nDMD0jnqySrUuzbqjQafQfSuVAYi6M6jvAtxwK15tliVoNW5OlxniW7nuIWxgAvaaNnABXcWPrqS5y5eWvq4DyKwoYZaz+8ukvgGoY88ZevX/VjIAF6AJjTzyAPTBitW5+/oyUcN9yIxVx3rWANA1llt6dUcbjUL3tVTnAMLu4bf+WQDuUAAcqHZVQKD1w7JjKOKPg/jMhQr/evuXd1vSRAC69lMGCn7rLtfPJan2sSgUx43O6XXukZn6Im/a3KCC1kknlay2zcEHQkDw12tas9e35j06JWYCdzKOdFtjm55W3dFBo9B9LaUBiGVXRFwXQNj8LIu9ySC1GAig2YW4bDN5oEiURef0xiAPYedXSw7AbwmpAE1zMRatA6itPY5c+f0X5/dbeLeUhKr5UuqgVqu1Qj0kCrGGo/3n12dmMjyL/A1o1R2dC+sTuu+lPAcQ9kWkdxaAAQBHawnTqaPFlzyHWJS1PujZPaqTbK9i45HLqHD4WgOppOqg/zBk/vgtJRprkoRA02S1dQrAvZX/UY9KmI3Q0V46ThjNfCjVu+P6S3Eek3Q9M+8nKvbi1SqrTNEqA7Ft+EHPdVhh53Xqjg5aCwHp+tKbxR0XgsIAxLIfS+gdByZA78hN+4CSXKSSOKkDk+7tIGIV1doiFiNOcjKpazDvNJRh9DmjSXtF1CkE1HKgXzvOJTTcsWUPJVGAOABQgrgrnnMHXCpjuYkp0i4D8VXo1B0dbARIA4UBGDgAo8eBO89Ntn7ggDtfJSWseS9JgySRUVVK5URGlMPIGf421SjeusrTV5aWo7VWGi1WY7o60CxmPpQSiSrou/rIWSC30eOvXQZi27jzPd/ZaNIdHbTWgjbxpffAf8CYAzBWEYijPvze00KLVJLoVIEkl1Mo/hgjgAxjsLG58H519xAJaFqMdO6yGJvgz/vMOln0UATwruWvd1J0E5pXPi4D8blo0h1d9AndF/M/YNQBGCkK2nlUbZdOJViwv0HRrpI/XwjCf3+Hv98Y/ts7MTyH0jcX5SPpeCYFsAHeJajEf1B2ei3o7Yt1lSbd0UGj0H0x/8NwC1BBfyPQ/TBeDLjzPbFBkSfv5gOCC4Btw1dfjr50lEBrq2Zn3dR68d0V3Z7hbYLqr5pzmOAtG9z4zyRrbbvWpDv619zlUmhb/Ic7DgDg9bIAd8N4lRH/d53zKIf9W0l0ToSkdL+75DigScUp9OKjAORvOz7ZcgB4cIPlAXQbDsCbeNCgbC2J06Q7+te0DsDL/AckIxkAAPBD2c4C3A3jSVE8xITMeobeiMc3lvvdExLQtMLryGu5biqNsCjubysFkOxl/dO/NSrZ+QPfDc4mdsDq0h0d9AndN/Mf7h+TYUHbBbgbxotRnFydX7/849AYjaTNyUhR3nLuAFBHjotXiEw562V81fKR5rsf9W6NOtiF21dhRHfsIQWgmhjb9hZrKuDe+T9w7k01X6tdgM6OlI4VLwMV8ffGIzTuSPbqtIsKAFBA8RRAzAHhAXHzSSd29yPn63SyRj9Z/6Ra2wnUATtN9lsmUYkUcKg3CCwZ0R17OAaQJLJwVOhINu/dHDliIH9kmaoqU2gVKL+hVVKMFe/xvrcsXwpoK0t7q3qaZI5Pgbysppt7AC55fiOseiSRc7/OC1pVpDO0Kmbd0KsbxqZGnpF+8dAnubTqlqbUm1/o2DKDFHfLwq7JhTiMMYphuwcTukOn0JmEjRdkyoaFMNcGAJz/HrZ/L10AcXcnrxsCQHAnk/AN6HRG6TmIPQfggRuFJyiiThEAuAllHuTRP6s4dgEVJpfxFB7nEABOAtSvf5DAGbFEAiDw8HhrPOcoT/D+uXh48OsRnh8HxfnvJBbsq9Oyhnj/Ujg+RR6AcxCHvFuE1Iju2EMECADU+Em3g3i7G0wl4PwXP3obFw7QlKDE4Ac3Ck5uQqcLz26brhUkSxWU1rnok+Dgg6uzB6bCoxMXWXNfhlyqxD8jIuHBUYl7vXPDeQjAFTKE61c/qBA4I+EAXF78psS5U4KVh4BTiG0in9+rVxE5p1+PQAji37Fblq2iZtUO4cG1EIEIsQg7ys2I7tiLARg/6SbFuwrzNlxO3D3/zD4BHba26qi4s29HxtBQb1EPMhEKcLxFU+PEW0rQJUuLdh04AI2ldRMBpxASmaj6zspEEY92//c6/LCk6N1Ln8SBbgtwix5O4b1SX1o4JtcZ0hTwqmK2/O1LgwndoVvoDCF/QbLhy3GAOTd1JurkPL2t7t2BKL1kDMR1XQBzGn13YEDZs3YxBK2WK3sDtq323pnoDKSBy7x+k7TJNLl1v2SD7EToovGGZ77OXsap83y7ov9NWoe9oQ5xlKVpmjHIY7D87/2n1iJKYRfO6Dh0jW1AFpOMlozShZopR6ozj4xvLd6L0InxUXJt20JlfDi8cKD7P03D2ATqgBsBAHKmAWIsSi0JPLtXV2tVwtVxJPhW4neWp3i+p8oMgpm6/Hxy1kzuv1/oElHEmSWXTpHmlUI4/YTvnRSA1PPEDkoAHn1hBfdRHkAo6wSj7wHxdM36HnysSsXcv9ziOY+ZOGucBLMYREmD048nM9/oZ3UqVzxd4G0+bxe6IMbfQUEcjhKn3xiQh6PA6V93V42UA61y+vn5+S3+ebgD5xGOy9Ls8pId1BeJejtZOxJ2Q7sL9WNSjAfrZuDv+j5eNW31t7yLF9qqPySjDPNyAA2XNfbnv1voIjfPXbALTfM8vwHXK73keZ71btYaKYDchc0BAEACfqoXs9Qpas3OheP53qTYsQMAh0BYF2DPmGwQET7RTe2EFba4v1voQh8AktPFBUAJwuPFA0AcdLaUG08BvMonGQAJETadPV0sym4+nwJ4xXZsAe/OSQDLTpDmIi78iW5qJ4nIvDi8WeiE8gCBqpmhQnIu/tdTOWZTABr4JAMgAAjRf2Umz6cA9nIi5R4O8Og0uGXL8Gdn7kNUcF58XCkOSWS+1uu7hU64gFDVtkFZFzlWXWd6JAUAbKSra8EnGQAHeHpjAMfTz0Ti+b/dAp41ALtGKGMOQLi8m2YckHSFWt/vFjr/AnCg/Kad//Xa6HZ+LAVNGDPZi/mkbaCMC0SdFcv85csLHiUHQN9+rvt5iJcItePxfzvPN1V8BF9ebzwOnFVqwqwvdMNSp40ab5o08W4Lnl4K4FSbic0sGD/JAyDXa9YsPgTarUdPh0E7vL+2t/ZCCqDTxGuPeMCCbLllY3BQQ9PvxIb+9LQkxYF/r0SVXtYWOnX6PcH3VfDb7C1v1Hjzv6RrjLseAJdlgZftpAA+ygPoWFvF0ayMxGFkn4uQrbc/nwLoWpo94lHJbYeuvSKFKQfgNFIVcVqS4qAM/x+p4X1AKwudPAonJYDnH05V6VKpKuXeKPREdcxSLwUQlu7DhlIAH2YAWiRoahiLgypbaxEAUhXPxOnq/6efye4NALwwsTGgvZLU8WfNiJEA0LQkxadLaYuE6QXFukKn/lRZsdS5HGJSGDfeivu0IkAeEJTv6DsAvKzYV8aO1G+6Ab2h8TzCpqDNObCMEpbleX5Dlufj3ScYnq5fdQW0nup4A7dWxxjLzqCmCsE5hUCkaM42TUtSRKquNDfT9QVXFjq3dbzLrYon+nUtOr9So1lxIqu+D35bq1xJ9X5aHA5juo7LvXIQ7FM9gFCiTggHqrC0iUMAgI9sbX4hBfDCn24F6sexjQHtEyENRYBOGAaAJiUpDmjVW1aYrtKzrtDF7TSLyxGfASCpXZA6BVAkg09O84tmlEmgKhmToBj3sNbnQw2ADIGoFAzOS08rcQFAjkU7XkgBSOw9AgSwWIi9f4cvxVQrDhEO1dOkJMUBZH0KyrRyXlfowk4Pm3LXtFDVCJoUgAPUil0JcFnmIgGeyCZU58cA+PG8hQKSH2oAAoX6NAqvzugJBoxvwXo1BbBzDwDUj5848ml5PzIeWajrIGBDBTspSZ2q0aZV26pCJ2T7C1Ut9BRIaRVUrdpJFISxSCkABMXOuqY0QdNV7yxDcLWFBMCnGoATb/R/XZckKabMWHmIV86Vi+edh+3A4nhky59l85hyAMKxcj6TkrROW7mSVYWOo2/RhAO4adXn2LmS6te+JyrDNNFWkKRCjbYsVJP1i4lvYKfGRxqAOMTIafQycDlWHmJkQZEk8xpDSrV/BwCgLAytC7A/VGym7poMp1pMTkjSOqwrdBLAqaN7FdAeQEuXk3nDumO8kukC9k8U5nvIJxqAOCCX4a0q/dbR7icjKYBwZmpt/5tAAVgXYKeEaiRSo4HAn7jslCStw7pCJwG0FuzMnPHxp0XQxMd+oAEQJzIWXouLKXMvAtS7uULM7LL9CSkAAOQcnOa5PJbtIMORs1oaCOXU7J+QpJVYX+hMLL5HWF+TfFIpiAJxoNex1UFcZPLlyMQdSQHE3sx420ekAAD4bmJLwu2NoFf7ShdcNnUeDgAO5b8FE5K0EusK3SeI910+zgNQR1pXozrJZlEbq6py63DaDhcUcvamGL5C+7tVuPwG65Rxsegi5r6ZuXdu1XtIYuDstAorTknSSqwrdB8dGv00A6AOpKlGKFuPrjq2cScE1FtQhGTmwahWNFIkAtSZ6zlsDhIdAxsE2hPi5BiquNMWBo5eAGRKktahmwKIueFp6+Kd+Q7DfFoI6IBWNdrW4Sbe2rTcD3UMUwBJPHeBUTsP6vinGHPi35cbPb8Ljz3YhGDZFMpUAGiaKUlaibbHLo6B6VK21O9Zu39vTH/o5sM8gKCt/2XLA0haOl70rPkgBSCC2fW1BOBQAOogLh4AP5j/t1vjrE5zHR/L+zmK0VyXaaYkaSUqoYuTdbai+jGSli6JyQcFhT7LAAQxaxaxolV1W8ZV0JAAvLdzop8CSAJF54pWFY0MBSs+4MwDU+XZjRNhv9br21AnvkLn3SGTkrQSldBRB8w9mHdDHBai2SOnwvd8a0NoKki3CfoRUVr/xq/rXaZAr1ThDZ3KgqmL+cX1bgCuxb9VBUAGXUX+3oD/bE1Uy7pkDrms80kMQOujpiRpJSqhK3DX0GE+6pqrmeOZ/7xFZARwnv3jT/IAklPvhdpTU03bPAdAUpvwUJXdsKo/lVwB8yusc4A6AOImiETB5W5dxIi873inZQFy9KyLbk6AigEEooiET0jSilRCtyIRPcXqTAHwE93QkXnOASQKEH8uHh4kG+OTDMAg/dpEgBSqOhrEa8q4QlR6v1eEw517I6tu0K3EGAV23F/LcCMniyacmecUXyNEWQc5VnB94L4krQk31QJnAuaFceIQSMW2FADiIeAUNYkSuUBvNfysWsPpbcSqLqSkQn3ls9Q/4EYB/MCtJJIfwKwatXwohiRpAbXQFRz4SnXolOAwVHrvjXySBzBBa8VANGrnpPS62tvCyDurZFksZjEkSQtIngp1vA75OOUPfN45gFVIDsdCx1cB0bYB+OiD4xbLmxgInUUHX+IBaEUcAXEDIPnnuYQWyxaxQmcG6wEsJ0G55g+B0R0BNgRksejlodBZnsIagOV4KAI9PMZ4W08bBbJY9PJQ6CxPYQ3AchwXLAXkEf6WtoRZLJ+LFToz2BzAE1wOCaXypOrtnu2aXLaqvsWin4HQWXRgDcATkGvMFfxmM1ov5mNDQBaLZgZCZ9GBNQBP4feOIjqi1ULjsztIWCzvoS90Fg3YHIAW3Gbnj/iIHsEWi+ULsAZAC34T+5fwrAdgsVj2gDUAWqAMZV8iGcPuUrBYLLvA5gD0wHjs+ADUEW/p02GxfB1KAFIAJxeg1u1+ii+pBmoeFSSuR0WsIluoxGJZA35o/m93hz6HNQDakIkSjuO+oU+3xWKxPIM1ABaLxfKl2CSwxWKxfCn/BzuufNwps1hQAAAAAElFTkSuQmCC"
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\Delta m ^ { 2 } \sim - \frac { \lambda } { 2 \pi L } ~ \int _ { 0 } ^ { \infin } d x ~ \ln \Bigl ( 1 - e ^ { - 2 \pi L \sqrt { x ^ { 2 } + m ^ { 2 } / 4 \pi ^ { 2 } } } \Bigr ) = \frac { \lambda } { 4 \pi ^ { 2 } } m ^ { 2 } \int _ { 1 } ^ { \infin } { \frac { ( t ^ { 2 } - 1 ) ^ { \frac { 1 } { 2 } } d t } { \mathrm { e } ^ { m L t } - 1 } } ~ .
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeElEQVR4nGP8z4AfMBGQH1VAjoLF+oyMjD3oKv7DQbHeBVfX/+gAoeACAwoXBhBW9MQwMCzWw3ADC4LpxsBQuhPTlXCznrsuKu7+////ohjxRXoXsLjh/3+I6IXi4v+uO7EqgAK95/8ZsJuAENKLgfMYR9PkoFEAAFPxtGBuEMCYAAAAAElFTkSuQmCC"
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\sigma _ { n }
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"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"
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\begin{array} { r l } { \hat { \rho } \times \left [ \mathbf { E } _ { \ell + 1 } - \mathbf { E } _ { \ell } \right ] } & { = - \mathbf { j } _ { m ( \ell ) } = - \sigma _ { m ( \ell ) } \frac { \mathbf { H } _ { \ell } + \mathbf { H } _ { \ell + 1 } } { 2 } } \\ { \hat { \rho } \times \left [ \mathbf { H } _ { \ell + 1 } - \mathbf { H } _ { \ell } \right ] } & { = \mathbf { j } _ { e ( \ell ) } = \sigma _ { e ( \ell ) } \frac { \mathbf { E } _ { \ell } + \mathbf { E } _ { \ell + 1 } } { 2 } } \end{array}
|
"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"
|
= \exp \left \{ \frac { { z } ^ { 1 } } { 1 ^ { t } } + \left ( 1 + \frac { { x } ^ { 1 } } { 1 ^ { r } } \right ) \left ( 1 + \frac { { y } ^ { 1 } } { 1 ^ { s } } \right ) \frac { { z } ^ { 2 } } { 2 ^ { t } } + \left ( 1 + \frac { { x } ^ { 1 } } { 1 ^ { r } } + \frac { { x } ^ { 2 } } { 2 ^ { r } } \right ) \left ( 1 + \frac { { y } ^ { 1 } } { 1 ^ { s } } + \frac { { y } ^ { 2 } } { 2 ^ { s } } \right ) \frac { { z } ^ { 3 } } { 3 ^ { t } } + \cdots \right \}
|
"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"
|
S _ { n r } ^ { ( k ) } = 0 , \quad r > n
|
"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"
|
\begin{array} { r l } { x _ { 0 } ^ { \mathrm { ~ o ~ p ~ t ~ } } } & { { } = G \left ( \frac { \langle \delta \ell ( 0 ) \delta v ( \tau ) \rangle } { \sigma _ { \ell } \sigma _ { v } } \frac { \delta \ell ( 0 ) } { \sigma _ { \ell } } + \frac { \langle \delta v ( 0 ) \delta v ( \tau ) \rangle } { \sigma _ { v } ^ { 2 } } \frac { v ( 0 ) } { \sigma _ { v } } \right ) + \xi . } \end{array}
|
"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"
|
\omega _ { E N Z } ( k ) = \omega _ { Z E }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAa0lEQVR4nGP8z4AfMBGQH1VAtoIKETkUPgua/L29n/GbsJpJ7Ac+BXueOT35ik/B2dtl6I76jwzKpaWlGRgOIAuhmPBeLvzJE0HGUzh9MevgNgYGYxR5FCv0OQQO/C/nYOJDtoJxNE0OGgUALn1IDpsDuNoAAAAASUVORK5CYII="
|
\pmb { A }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAf0lEQVR4nO2SyxGAMAgFn7ZET1iCVdoKKQEP5gMvM+rZkRNhd/KBLI77WB/414SylVGNC6+xQ6zlJthb3gXXbphAfRa6kXgUqpF5ElwhRjwLrhDiJLiCuOdGlQM4SiqlHUygGvrBR1z3IwPM2cDEycDMsxGGFd6nY1jL/+3fCSc4NGtaB5HejQAAAABJRU5ErkJggg=="
|
\times
|
"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"
|
( \mathrm { s _ { A } ^ { 2 } \mathrm { z _ { A } ^ { 2 } \mathrm { \overline { s } _ { B } \mathrm { z _ { B } - \mathrm { s _ { B } ^ { 2 } \mathrm { z _ { B } ^ { 2 } \mathrm { s _ { A } \mathrm { \overline { z } _ { A } ) ( \mathrm { x _ { A } \mathrm { \overline { x } _ { B } - \mathrm { y _ { A } \mathrm { \overline { y } _ { B } ) } } } } } } } } } } } }
|
"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"
|
\beta = 0 . 3
|
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACZUlEQVR4nM1X0ZWjMAyc3LsG3IKvBF8JSglsCVCCUwIpwZQAJeAScAlQgl2C9oNwAeJ4Nyzk3XyFJwkPM7alnBgH4xoAIJcby3/tSOUJrkSy2lz9e0cmTyAJGLYK+AaCgRBCubn8eIudxNVtLz8dfkhOStpewFqiatDi1fLDLbboUAlANCUGvMzveIsdAfkVCBLAhqNyuIJOAdZquOEM171efzRBZ4WDywFnKPz5DxVU/vbDKdhswwve0EkAAFVwaIYNhcdfMz/EyuKqAZDHrJia1SzjdAu1dBQ7AOAFMuON4hiy7quMY7CyeJD20kZv03A2KpkxbJ9YIPOnoZXF0hX1qi1NRuKjv2csIqPF4QcNN4WloF62zNxJZq2XkV52s4z3YXnNhLOm5hJtS0WtZhmjgjfYPQW7JBXUgnLRcimJRL/8Er/IiKPUWms9K/TaMzPXCYVKv1wGy2deWTwia9mLxEufLoa2NbMv66hn5p6ii0yMqJs/drSKR2ul5zrfQlAy833vetUzc6fLFEH2cu6V7lbhWK0RLWfrL/kOdM5+tlp549pGCRpl2Cj/eBy/JrgZVLKe7Te67dU4wdqoNm+ZuZapd+5KECoTsz0ukgSZRZ4Mj9hzmrHo6lIA9jLAXgaEdcL6Xhp7PiF1xe9JcJruUU0j/gqTKuNw0ciJmHoXQQVYCyC3gJyv+6AlEJzLhuAAuOQ/qR0n6vt0T65xBJAlACgs/pJZZxehDufCYBQ+gR+eixgyrjNi5j55PP+Bks39iJFfILMCgMyu38guZFLBAwhWbkAmAaAMH5Hdt0QhH9xf4BOyyN7Mm2wqaQAAAABJRU5ErkJggg=="
|
z _ { H } \rarr z \equiv \frac { E _ { H } } { E _ { N } ( 1 - x ) } ~ ~ ,
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA8UlEQVR4nO2SQXHEMAxF/3aWgCiYgiiYgimkEFQILoQUgik4EFwIDoQEwush21unvfS47/rfSH80uqHfefkjfwoP7tq2PXmRJG3bnopL58eeQpLeQ6rWZrMAqNaORROWSgmgBkgBLAlgbTAUTB2sGaYDd5kkS5K0SJKKdpnSJr2FJGWHI61cTA+YBj3TM4COnLItVzyy8gSsU5cjzVHKVPXJoyQwik1YU/EZQZotSw0IewgcerjTjiH696FOSfo8v+tKeq12mlzyAniQV/ICXR2A1aE7QxrFswcoqNmzt2uTdcBmy+JHalxjfNyeX/1PwhcF2+C3G9WZsgAAAABJRU5ErkJggg=="
|
8 . 3 \%
|
"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"
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W = { \frac { 1 } { \sqrt { 8 } } } { \left [ \begin{array} { l l l l l l l l } { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } & { \omega ^ { 0 } } \\ { \omega ^ { 0 } } & { \omega ^ { 1 } } & { \omega ^ { 2 } } & { \omega ^ { 3 } } & { \omega ^ { 4 } } & { \omega ^ { 5 } } & { \omega ^ { 6 } } & { \omega ^ { 7 } } \\ { \omega ^ { 0 } } & { \omega ^ { 2 } } & { \omega ^ { 4 } } & { \omega ^ { 6 } } & { \omega ^ { 8 } } & { \omega ^ { 1 0 } } & { \omega ^ { 1 2 } } & { \omega ^ { 1 4 } } \\ { \omega ^ { 0 } } & { \omega ^ { 3 } } & { \omega ^ { 6 } } & { \omega ^ { 9 } } & { \omega ^ { 1 2 } } & { \omega ^ { 1 5 } } & { \omega ^ { 1 8 } } & { \omega ^ { 2 1 } } \\ { \omega ^ { 0 } } & { \omega ^ { 4 } } & { \omega ^ { 8 } } & { \omega ^ { 1 2 } } & { \omega ^ { 1 6 } } & { \omega ^ { 2 0 } } & { \omega ^ { 2 4 } } & { \omega ^ { 2 8 } } \\ { \omega ^ { 0 } } & { \omega ^ { 5 } } & { \omega ^ { 1 0 } } & { \omega ^ { 1 5 } } & { \omega ^ { 2 0 } } & { \omega ^ { 2 5 } } & { \omega ^ { 3 0 } } & { \omega ^ { 3 5 } } \\ { \omega ^ { 0 } } & { \omega ^ { 6 } } & { \omega ^ { 1 2 } } & { \omega ^ { 1 8 } } & { \omega ^ { 2 4 } } & { \omega ^ { 3 0 } } & { \omega ^ { 3 6 } } & { \omega ^ { 4 2 } } \\ { \omega ^ { 0 } } & { \omega ^ { 7 } } & { \omega ^ { 1 4 } } & { \omega ^ { 2 1 } } & { \omega ^ { 2 8 } } & { \omega ^ { 3 5 } } & { \omega ^ { 4 2 } } & { \omega ^ { 4 9 } } \end{array} \right ] } = { \frac { 1 } { \sqrt { 8 } } } { \left [ \begin{array} { l l l l l l l l } { 1 } & { 1 } & { 1 } & { 1 } & { 1 } & { 1 } & { 1 } & { 1 } \\ { 1 } & { \omega } & { - i } & { - i \omega } & { - 1 } & { - \omega } & { i } & { i \omega } \\ { 1 } & { - i } & { - 1 } & { i } & { 1 } & { - i } & { - 1 } & { i } \\ { 1 } & { - i \omega } & { i } & { \omega } & { - 1 } & { i \omega } & { - i } & { - \omega } \\ { 1 } & { - 1 } & { 1 } & { - 1 } & { 1 } & { - 1 } & { 1 } & { - 1 } \\ { 1 } & { - \omega } & { - i } & { i \omega } & { - 1 } & { \omega } & { i } & { - i \omega } \\ { 1 } & { i } & { - 1 } & { - i } & { 1 } & { i } & { - 1 } & { - i } \\ { 1 } & { i \omega } & { i } & { - \omega } & { - 1 } & { - i \omega } & { - i } & { \omega } \end{array} \right ] }
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"
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\chi _ { \mathcal { V } _ { \frac { l } { 2 N } } } ( \tau , g ) = \sum _ { k = 0 } ^ { 2 N - 1 } g ^ { k } \Lambda _ { 2 N k - N + l , 2 N ^ { 2 } } ( \tau ) ,
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"
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N _ { 1 } ( - 2 . 0 ) N _ { 2 } ( 1 , 0 )
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1 0 ^ { - 3 } \le P _ { \mathrm { H _ { 2 } } } / \mathrm { ~ b ~ a ~ r ~ } \le 1 0 ^ { 4 }
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"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"
|
A ( - 2 . , 5 ) B ( - 5 , 2 )
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABSklEQVR4nO2WwXGDMBBFnzJpQCmBFtQCKcEugRZowSkBl2BKgBKsEqAEKGFziB07ZjPRolw8wx6/Zh/7PzsCJ+TVS2b/BtgAzwzo98459z4DIPaqoT6foBIRWQGooRGpoRQRsVtoP9hV4CGssjAVMIiIdGdZZaG5eL+WGVDAKQfQAdO9YA2xhdLfC0bA8QjlD8UZbuX9PI5A8ITDTU23P92a6tUhFpf9WxviOF7377tsgJ7HDI2AmAvoF/28ArjfGh7esRKBbQIlAhsgglctpG6jEoFpAi0CE0CLwASI4HMnWAxgAagRWABqBEbAMgIjYLdU0wHjrDkwAFrwWRNEqBQ5+Vae3/CDX+opE8QZaKFS+lOu9Qo/iASKSTv9GzAAB2mgU4+TAEE6T6MfJ1kgUOjPF0l5C7GlVFboqywfV7We9E91A2yAfwd8Ao4h8JFfqxdeAAAAAElFTkSuQmCC"
|
- \check { f }
|
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"
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\begin{array} { r l } & { \langle M _ { s } , M _ { I } | T _ { p } ^ { 2 } ( \vec { I } , \vec { s } ) | M _ { s } ^ { \prime } , M _ { I } ^ { \prime } \rangle = ( - 1 ) ^ { I - M _ { I } + s - M _ { s } - p } } \\ & { \times \sqrt { 5 I ( I + 1 ) ( 2 I + 1 ) s ( s + 1 ) ( 2 s + 1 ) } } \\ & { \times \sum _ { p ^ { \prime } = - 1 } ^ { + 1 } \left [ \left ( \begin{array} { l l l } { 1 } & { 1 } & { 2 } \\ { p ^ { \prime } } & { p - p ^ { \prime } } & { - p } \end{array} \right ) \left ( \begin{array} { l l l } { I } & { 1 } & { I } \\ { - M _ { I } } & { p ^ { \prime } } & { M _ { I } ^ { \prime } } \end{array} \right ) \right . } \\ & { \times \left . \left ( \begin{array} { l l l } { s } & { 1 } & { s } \\ { - M _ { s } } & { p - p ^ { \prime } } & { M _ { s } ^ { \prime } } \end{array} \right ) \right ] , } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAy0lEQVR4nO2SQRHCMBBFf+sgFmIBC7GAhSAhSCgSqIRWQiqhlZBKSCQ8DgHaGRi4cGRPm/lvJ3//bIM+V/tF/wM7oJzLO6mciiQBx5nXipAd0Eq9ObyO95Nk3FkSHAYg+kD24T6egnyCZEGgGSCbaxeff0UBVYXaE2zcHAT3ALY13bqzsjz7VtIiSZrsuAGT2wG2SKX0zo9apMsoaZJZJd1zCAE625GMyyQZIOoKMHgQZJchAbn6g/qEY6orzH6X4LDFGmag+V/1j4AbMcvWZEWEfbIAAAAASUVORK5CYII="
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( x , t )
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"
|
c \geq - \frac { 7 } { 6 } + \ln 2
|
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"
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\begin{array} { r l } { S _ { 2 } \lesssim } & { ( \| \nabla \varphi \| + \| \nabla \Delta \varphi \| ) \| u \| ( \| \varphi \| + \| \varphi _ { t } \| + \| \Delta \varphi \| ) + \| u \| ^ { \frac { 1 } { 2 } } \| \nabla u \| ^ { \frac { 3 } { 2 } } ( \| \varphi \| + \| \varphi _ { t } \| + \| \Delta \varphi \| ) } \\ & { + ( \| \varphi \| ^ { 3 } + \| \nabla \varphi \| ^ { 3 } + \| \varphi \| ^ { \frac { 1 } { 2 } } \| \nabla \varphi \| ^ { \frac { 3 } { 2 } } + \| \varphi \| ^ { 2 } ) ( \| \varphi \| + \| \varphi _ { t } \| + \| \Delta \varphi \| ) } \\ { \lesssim } & { ( \mathcal { E } _ { 0 } ^ { \frac { 1 } { 2 } } ( t ) + \mathcal { E } _ { 0 } ( t ) ) \mathcal { D } _ { 0 } ( t ) ~ . } \end{array}
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"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"
|
\gamma _ { 1 , 2 } = \frac { 1 } { \pi b _ { 0 } } ~ \left ( \frac { 2 N _ { f } + 1 } { 6 } \pm \sqrt { \left ( \frac { 2 N _ { f } + 1 } { 6 } \right ) ^ { 2 } + \frac { 1 1 } { 4 } } ~ \right ) ~ .
|
"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"
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\begin{array} { r l } { u ( x , t ) = } & { { } \int _ { \mathbb { R } ^ { 2 } } \mathbb { E } \left [ 1 _ { \mathbb { R } _ { + } ^ { 2 } } ( X _ { t } ^ { \eta } ) \varLambda _ { 2 } ( X _ { t } ^ { \eta } , x ) \wedge \hat { \omega } ( \eta , 0 ) \right ] \mathrm { d } \eta } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABB0lEQVR4nO2UW3HDMBBFrzslIEPYQnAhuBQCwYWwFFwIKoQYggxBgaBCkCHcfqiOJbtJJpP+1frRa/fcfWhUEY+Npwf9d8A/Bpxeq2XDu0dUk7k936//jlBn29uCq5mezNyWGoyHuqoPQ6k2fb6cAADD28d81pQmM8miJ71pc/GgBk0goxXIMbvIIphXDkqSnS5WrgM6lzCtLdL6BSCIJBnCOaIWRsOCuQHwEFXN5BViI0mXMJcBP0UcIWVpxHwNIwAj0zBO17o6C+pKJKpA+kjaZhvENgWbAFo04XIZtoBoJJLW+FLJdYBnakR/FcCjSNvIyp9k0HQW7bmRrnhA1f6t74C/AHwDuaIoXqRX4nYAAAAASUVORK5CYII="
|
\epsilon \ll 1
|
"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"
|
P _ { n } = P _ { \mathrm R } + \psi _ { n } ~ ,
|
"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"
|
s _ { i } g _ { i j } = s _ { j }
|
"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"
|
\begin{array} { r l } { \mathcal { L } _ { \underline { \psi } } } & { { } = \ln Q ( \mathbf { W } ^ { * } | \mathbf { A } ^ { * } ) = - H ( \mathbf { W } ^ { * } ) - \ln Z _ { \mathbf { A } ^ { * } } = } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAABrUlEQVR4nO1X23HDIBBcZ9IALZASaAGXoBaUEpwS5BLiEkQJpoRcCaaEUAL5kGRLh9Bj/IEzw36dvLfrWzjPyIeA/4233AM8ixIgN0qA3CgBcqMEyI0XCOBShPcb1NsD2A9ePChKiciatSmMmHGEJUDY9BB3bA8gNS8GnJNDeqP157Kt9yJ27C21SQ5xx44bULwYcBIpjQHEyiJc9Ixjbymim40739kzGSiQlLYB4HsDJQDQaWg5YSscAFB0apMWueAoiA0cd/Ib8AqVolrHW+0kL2J4A1yA88yhpyix5Kh4d9zJb0B/aViNLrkYnR2bf3I5jymp8rYG+XipRhTXLjliQvk4KQ8AauAqmMpqwF26z2oJWEUKpPpikq0XKkA2EC3QDs+KAGhOcW3KEXASE8oovlNxgD6DkwBkMz4GAMdWd8V0AHJCddwIx1ajIk8VIooj3rjOEq5m2pndDLtw3cFdQwjh57Yiu30vWJ5WvjKEsC9Au4Nr09QECwHa3xVtCOGw60/9zI8zyY2el2RAtNZ3mZdrWmBfgBfEC7zMPYcSIDdKgNwoAXKjBMiNP3kmFBaVvUzNAAAAAElFTkSuQmCC"
|
m = l , l - 1 , \cdots , 0 , \cdots - ( l - 1 ) , - l
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA90lEQVR4nO2TW3HDMBBFjzMhoEIwBQeCCiEUTEGBYAoOhASCAiGGkECQIZx+KM6j7bT/nd4/7T2jvTsrNfKzVr/4fwRYA7A/tcxDuFfn3cwUUwug2vdaUu+i0l+0dOGsoqa2aCbegZR1qaAXBtXhfAciB1VQ17CnA0iPYIHr46ARc6q3LhmyaoHaAsZcg75qJC3AoBbSq1/arizAWTWGV6Dvigtwi/4cw7H6rqgzfNb+lMOyi475iz9NhwC7CkQmgDlEuB6rfxwBZqAR3tsRps3Yw9ucI1w3t7a5Lqt0KR+6VEe5qNtbo15tBDhOYdt+/x6a/38BwAcyVQd3J5ik5wAAAABJRU5ErkJggg=="
|
6 . 2
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA5UlEQVR4nI2S0RGCMBBEF4YGaIEW0sJZgi3YQihBS4AStARSApagJUgJ60ei5kKI3A9z5N1ldycVUa76zzkaPMfkl4hqeU5nLONqsHTSxufurnnaq5rgQ1RbA62e6JIb+XjpDZxVV+3KIZJ1XxEkGcnSCkk2AIDD9gYPuG0NHpi+fZ8Hfum3KYBUVFyWZAmwKAMTPLBybvznJQKSNfDM++vPwYUZ9QtavJFLZ4ILm44KSc4nUvCNel2XoZyDnRg25J/97Zdt9oqlHxyABQ6SB44OH6AUdUFDWFRwQc5igE52vupSvQGbmGIT4ofhAQAAAABJRU5ErkJggg=="
|
\Xi _ { 4 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA80lEQVR4nM2TS3XEIBhGb+oAC4wEKoFaYSRgYSqhlRALRAKRkEggEr4u5pCQGdpuuui34nF5/PfAIH7Oyy/zfwq8v16uGzBdL2+fDaF7igOIUgTAqaYCzqUP8ArmtiQD6RHwRQVCtEVShPgISMrgyZKUwHeAkbowgamjTZkz2FvtuI6HGeLeMV3AhHtrBfsMzNu+7wy+AxwHT907HMumlbDf4SjT7vo8LE+qVajA2HhsgBEYJSmbQ2MLRMAtytEQSg/wVZMd1Waoj3bA5W0Guys6V5EhqJfqYWrsnlKBtbHbPcI2yk6pw7T2vgFc7AHDP/ibX421etDfbXNtAAAAAElFTkSuQmCC"
|
p
|
"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"
|
\epsilon _ { P T }
|
"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"
|
\xi _ { \mu }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApUlEQVR4nO2SQRUCMQxEJzwM1EKREAtFQpEAErAAEtZCLYAEKoFKaCUMBy7NPgp7X3LL9L82M40Q32vz43wtwHbWXzNiNAr7qqrp4VIvWSC4SgYdAhMmktFo0n/WrlUAe9wGLnKJAJCHNu9QAGh+BGScRETe2CegOJK8WKCfGIEk1RvnJmoFULIN0txw5jwmG1QI5NE9LdAH1Q6t+eTsC/Jf+2XAC/oPxsdiH7gpAAAAAElFTkSuQmCC"
|
\theta
|
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"
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y _ { 2 } = - \frac { 1 0 } { 3 }
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"
|
\frac { \frac { 1 } { 2 } a ^ { 2 } + 2 a + 6 } { 2 + a } = \frac { 1 } { 2 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA2ElEQVR4nO1TWxHCMBDcMBgIEoKEsxAkgIQiIZUAEkBCkdBIaCQQCUTC8pEU+hge3wz3dY+du92dRBHvY/Fh/lMAr8J0cFylnJAkneUs0JIk35zw33FYjqpUR0lauxmg8MEOLVaVnasIUs5aICEXPYwk3bYw1yc2hT2vksWQJMXlZrN1tilgm3uZgxSfApx+qJQBh757jj5OZI588JWp15ux60MfLucW8PuLvNoQBIA1/T37lMlOtyQ77bruUGURTm4kSZWffQrGACl4EQMAiLEsUP9/AQC4Ax23lBgxDSNzAAAAAElFTkSuQmCC"
|
\{ g \}
|
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"
|
\angle B A D = 9 0 ^ { \circ }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvUlEQVR4nO2SYRGDMAyFH7sZiIVYwEItYKEWsFALs8AkUAnFAhKKhLcfhMJxZdvv3fqnecnXu+SlDfH+3D7UfwS4AwCWKYaSis9ZXCebJEmxmyTp4ceHajK5FtIO9Agks2g+AixAgpIkA/o64K2QIHVAMWyZtYvzmDOsfcVU8yGWSDHXAC3RUndyBya0NQCtPV1wAXTWW4TT3erDmFkkk6TDeLLaNAe4TAb44y4cAHHm7ajiVMK2m+b/7b8DXqpG2HnkxuSAAAAAAElFTkSuQmCC"
|
1 0
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAUlEQVR4nH2TW5HDMAxFTz0h4ELwQjAFF0IWQii4EErBgdBA2EBoIDQQYgjan3b8bPXlkc9cXUn2SSgjzivmplNCygja3j0uJSrgD3OIR6fMUOr/EjQjlg8lPLYqKapQWHDUkdN3eNQKOXDY3F0DTC/JUAKpC+vjjLOMnz34joXCg+tYKAAYWyCbw0oxQTYASiAb0/xzrU3mUwgTr5Um4MgsHE9573zoVtDpwSQPG51N5cCKMd+AuHUFElBPoQE2mjXVCqP+BuwbU+8eBURgwXU9omA5n2Hm1r1HwYrhuoduD6DAES9z6DuAAcbnjm06iO9D+4ZERPwETF5ETvX3r+MfivV0ETBHsCIAAAAASUVORK5CYII="
|
f _ { 1 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1klEQVR4nOWTwW3EIBBFH1EaICXQAimBFmjBKYGUkJRAWtgS4hLsErwl4BJ+DrtgtKw25yhzGg1Po/lPwojH9fTL+58D9vcXY4wxr189YJqH9W0lOjifmHJH6FrF4RdJ0uKZ1KoBEV8qa8kDsMHShhk3AIl4rJU76JpiJnaHBU63MVd8B1jOtX1uQ4fBW5hB4XMfgcueByZ3thqTGXsLOGZcu2BvPUfMzl6xR8y7ohJhVD3hquoM3yNQPDZLUkmQNAIqAVxMwcKH7gFSvsictm4m8z8+zg91uCb+kVPQQQAAAABJRU5ErkJggg=="
|
\Theta
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtUlEQVR4nO2TUQ3DMAxEL9MIhIIpZBAyCKGQQiiFUiiGQUghtBA6CCmE28dUV22a7X/afZ3sp5POkg3xWZcv+x8DnsaYRqfLvTkCwhaiwGMI6rkqIKl3Qe0GyGaTnUsgQ3QYW5ZAQiAT4LiX1hwggO+lO9S8ajN4oJlGWzvUBLfcUOy3mpBkbWahFUiw4hDrQAefR2CuAhGJjCcRK+CQyfkkYgVg3zm+CniSzBbo94D5/wUA4AWDiEGiZkxLggAAAABJRU5ErkJggg=="
|
k ^ { \prime }
|
"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"
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\begin{array} { r l } { I ( \vec { x } , t ) = \frac { I _ { 0 } } { L ^ { d } } \prod _ { \mu = 1 } ^ { d } \sum _ { n _ { \mu } = - \infin } ^ { \infin } } & { \cos ( \frac { 2 \pi n _ { \mu } x ^ { \mu } } { L } ) } \\ { \times } & { \exp \left ( - D \left ( \frac { 2 \pi n _ { \mu } } { L } \right ) ^ { 2 } t \right ) e ^ { ( \beta - \gamma ) t } . } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAAFm0lEQVR4nO1a7bWkKBC9s2cSIAUmBDYEUvCFYIeAIWgIGoKGoCFICBKChFDzA7DxW7vnnbdvz9Sf7haowktV3QL6B+GvvCP/fPUEvrv89J/GRA8Fu6mlAwAwsdNsHzK9pKd6DPym6a+WCcDOVtPD4T6ABVgi9gAsmosKO/7d8ANoEqAmIqKS0X0RULttPSCvaTlQ8l+VWQ50yy/3HOlINORuWyahLylpkLxg+mvl5/StAxxyr0SRORhW6P6XvaSl46+s3dfK0wPN5EPtfTUHANpCce5p5kSa7+eAMwDfSODdfgQ/uALH0wWtBWC2YrqxwQF1lV1CHEDXAICtnMKmOuz8lnRZZfU6lKZsKN/J4CnSnZYaPVE66R5SlKQ4wPq1Es9evQQu8s4gIYlIMSRE1PKYFP+s1M69xuXzZw40BzQAAHbuNPOiz2CnULGZEpgabdEY8A9Z20xnq0zRuQiuMtXCfDz171suNMBgPwSzHMgsN5+VRB+65bYoNirkCUpgOFyCxfvOHQRot0cpPhJR6burlsCSkYjqtYf1royqkRMRqfrccl+TQj4kA0m0o+xJfVYdlGMgonpD/eSBHVABgEa5nQvF/D1mS7HLIbqoGQAOt9HJYWBTthzuxBUxNhMKAKKSeteyEABEUTJY8I9cIBQSf1pskXIAekP9BKB2EGjsbQbYQYRHAFod93ugqgBYmKmn9O2ruTgObkwOAIj2fkeWNWsUA7QocnHIZbdE23msNlYCQLOlPrjiW96vQlz1UsRklLPWCeA5o0TpR9QLHb1rkVizy4Ew5ETUAzkRjRAvTZ96NSMHxRcZSTA3ww31E4DSpZ7XJJDwyEqi9km5LOgUYUbK81i6yri5a7nHowM4EVHpPrZy1CVZViD1HMABCVFcS0QShfBJ+jDzEovH5yuBhDOeAlJWyv18MOU7MHTO+zVn/nOZKZqE7UzjwHLnNn/aRXz3agpMMD8tWmToDhxA120meg/keEbChywcSJgpIiLlf0XrOCUI7se5NZ2tcumsrOu/A8velHCT5+sy7TVp5x6o0BKNqdyCKHigXvBoVqgctuj66ckBCwcO8XW6LDoJwD6SKOe6Ws6axK+pWFiZErSnGxuR7b5lxxrW+bM2qzLNasHMwm9OY20lGoDN8l8uaubQBAAX/NUgKRKRxbYPuDAAaGdKMptP32Vh/VSYNycWVjrBAYDBGA4gw3PwvmVP+R6SDhKNjYJRV1xU2s7wzyzDQ+bxI3w0aI/o2wL2ozQ2QSHFEhrviXIeOgONUHl50eOVp6fceb5jkTyO0tZvgkJ0J1hYGQOHcYh2KPk1RvOs4RNECiFn4/hARMPsxVrkRCNbsMGCNJYhzCF4TyWYrFfQOAClACDlDDApL9KykgCE7Cd4WijqGQDp515KBjDZEyV+C8zCWwUrZcgvbuDFUiZ1Bn3pky7H+T1N/GiQNRHJxZlxewxgAjkS5ZDDfNJEURmzEnW/pqoDEexWE/4F+6lHsJI8rbXtCZ2t1Pn+4xJ2CZao1Vr0teKL1z4B0CueNMXQHNzKXTtFjoUFBtjN0iKonrK9J5fmmYOkvHyu5tX5/qtLrVrxpvj3MXtW/aqQ3jy484qf6iNodgG0+j6C/tjPntKcCT2Cle5TDvO7vKc2qeL3yB51mbx5czWDZhfAon4BQN4BgBZnM5w8MFj5nMP8AoCsRXxjW4Qbn8snthtq61MAK/2QjFcmu3aXMUliOsBW6qyf88DIir12b3xTdAUANl4bZgEYi83zoCuygmYzOUuURAri1r6eiEgxpfh59ePMvmzlqrA0VSqdnVq0XCqlBiZinlMc/Oh3LMtJ/9j8b4y7H+leOBsyHTsNYOAHevGOlauT4VavmMWs9yu3dC4mvQ3gZ0uWfL/7yx35GgD/R/L331lvym8GFywgzgEYMAAAAABJRU5ErkJggg=="
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F _ { x } = I _ { 0 } A \eta _ { x } / c = m _ { \mathrm { ~ s ~ a ~ i ~ l ~ } } a _ { x }
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\mathbf { W } = \left ( \begin{array} { l l } { \sqrt { \frac { \kappa } { 4 \pi } } } & { \sqrt { \frac { \kappa } { 4 \pi } } } \\ { \sqrt { \frac { \widetilde \Gamma ( 0 ) } { 2 \pi } } } & { 0 } \\ { 0 } & { \sqrt { \frac { \widetilde \Gamma ( 0 ) } { 2 \pi } } } \end{array} \right ) .
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"
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S _ { n + 1 } - S _ { n }
|
"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"
|
\mathcal { S } ^ { i l } : = \frac 1 \rho ~ S ^ { i j k l } n _ { j } n _ { k } ~ , \qquad \mathrm { a n d } \qquad { \mathcal { A } } ^ { i l } : = \frac 1 \rho ~ A ^ { i j k l } n _ { j } n _ { k } ~ .
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"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"
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\{ \hat { H } _ { 0 } , \hat { L } \} = \hat { H } _ { 0 } \hat { L } + \hat { L } \hat { H } _ { 0 } = 0
|
"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"
|
\left ( { \frac { g _ { E T C } } { M } } \right ) ^ { 2 } < \left ( 2 0 0 \mathrm { T e V } \right ) ^ { - 2 } .
|
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAABbklEQVR4nO2ZwXHDIBBFPxk3QAtyCWrBKSEtJCWIEuISkhLsEkIJpoSoBUpwDsrFsKAB7yyX/RfPsLZ5+vtByDZ3jNXL4PkVQAEUQAEUQAFyAGc2uVEA4f915p3HH415pQqHdOA0A2dugOi+i7V7rhsAS4x362K3a6NqmQPYusBoQPy4VqrUKlhZAc7HK+zl1AIQAExs87uI5fetWKda4MHoQMT0Vbx8kA4EcAJgudXmpxwIAKqfadLnTp1wgDeDeyq0gC2DvQAjHVjjYADeDHYCyEWgDcCbijoPEDSAXARygDVCNAPZTlgzYFoq39QJ3Qawt692KG8BRBcBfSgVzGAGEFeIZjADkDYgA/CoREBiI5LOINkCyQik+0CsHodsDa3TtwQgAJhs6c3zT98kNSUtYD2R9wBECGeQakF0wFJsQ7O8B7bVtToAmN4f64/PqvToU0rvoMkzMv0TjWAMjP5hoQAKoAAKoAAKMBrgD9ojHUSM1nRXAAAAAElFTkSuQmCC"
|
l = 1
|
"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"
|
7 4 \div 2 = 3 7
|
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"
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y \in [ 0 , \frac { \pi } { 2 } )
|
"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"
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o ( x , t )
|
"iVBORw0KGgoAAAANSUhEUgAABiAAAACACAAAAACnuP6FAAAZ9UlEQVR4nO2d65WjOrOG3z7rS4AdAhMCEwIOwR0CDgGHYIcAIdghQAhWCBCCFQLnBzZGINAFBHioZ63Zu9sGiVa9UqFb6acCQRAEQfT5v7UfgCAIgtgm5CAIgiAIKeQgCIIgCCnkIAiCIAgp5CAIgiAIKeQgCIIgCCnkIAiCIAgp5CAIgiAIKeQgCIIgCCnkIAiCIAgp5CAIgiAIKeQgCIIgCCnkIAiCIAgp/1v7AQiCIHYG/239ElxWew4l5CAIgiCWheWtX4LVHkPN3hwE4/D9yam0rBt4k1NbJwdi95DIVqMMAc4AhK9/W+VnVwcG8dMdiKd36H4+P2ZurOs+B2L3kMhW5XwFvOfaT6FgVz2I+4nPkg4LAcbr1y43Fct9DsTuIZGtS4ltjy4B2FUPojzVXeoZehAADjlQTB+sWjUHYveQyBryHIiWLIo/5ZTGaKHH3U8P4nrlCNhsyeWYYzJj3RyI3UMia8ivQLhgWfASgH1+Cz3uXvZBlIczR/yYLT0G191D9zkQu4dEth4M+ILC30sPIs0RJDNaI8cU77+NHIjdQyJbjxz4Agexlx4EvMtjTmOUcD2x5z4HYveQyNbjO8p+Lz2I4DHvi9J7CbM73OdA7B4S2Xp8x/DeXhzEcd7kOHNtXPc5ELuHRLYeE+eol2I3Q0zzQnPUxD8AiWw9vmOOmhyEHTRHTfwDkMjWgxzEvwxNQRD/ACSy9fiKfdTkICyhISbiH4BEth5fUvbkIGwoufNFrs5zIHYPiWxFGL5ieI8chA05XHt/9zkQu4dEth7fsU2OHIQd7scPv2SEkvhmSGTrwYCv6L7tZR/EBPJ7CRyj9kczjx+6z4HYOxKNkchW5FucMzkIBfx0B4A8v7U+zAFvtvFD9zkQe0eqMRLZinyLc6YhpnH44Y4w9oD2UUM5Zuwdus+B2DtSjZHI1uRL5qipB6HgynC8ITwIH/aMm+ewPvjDfQ7E3pFqjES2It8yR00OYpz8CsS996ze/qL8am1r9zkQe0euMRLZipTAdzgIGmIa5QoEfTP2xg9Zq6L9/vz8/Fybb/77O34OtkUOwM/Pz89/71/++/n56bwbEkQLucZGRWaoYsKQEoDvCR/xPC/XeZgxqAcxRpm/3rEytIzJy/qg9w95q6se+CzH9Vh/kJ6CTJTBDDmgjHEFz+vazCOefsW7CLESco2Ni8xMxYQpkjnq+wnZ9mYlyEGMkeJlRrEnDsDLWx+w9gUx+B/OTxkApKcomT8H+BekHC8H4V3ylOYaiWHkGhsXmZmKCVMkYRLLTY45kYMYo29Gdq67h3kufCysFvSSX+RpBJxSZc2yywE4pmi+Z7QYhRhB0hhpiMxExYQhsm1yrDXmVKYAEH3McWfBzEfaaEIOYoSy3xFkufRK8aLj8Y7z0Tull9hRDggAxl96YnMfh0T8S0g0piUyfRUTpshifbdHkfMrALDs/Xt6ClYyAk1Sj8AAdMZeo0pKJl518cBPhzRRGtU6hxBouhD5FrumxFaQaExPZNoqJkyRzFELh/uFWea3+ncrTgIN9yDKEszzgz1PTlnvdvTjM+7eTf1ib5+DXyKv02cckeJqYse4VzFhQv76x8Wlh7xtJd9HcgBOBYB1FwnIHQS7M/Za1xZE+219mPWd8V1vYsA+h7CZhEhxHFDP4XVFsb3FEcRiuFQxKcyY8u0XeG+YT3DjYZijPF8AnNIVF5FJhpjy039/r/l73TM7HaRLoPl97kdhm1xqbWeZlAH8qr7OPocQKEsA4PfBKYiXApXxdua35cJsUzobwpWKdRW2FYltQCjD/rpTigmAtFzZP/QcBE//HFIOBGEch/UD57JdWOmfdO5Huc+fZAuW53k9psfzPM9zHaVYH9l7PkUxcJXPBM6Sw2cS4s79IQeRZVkM9fiCA1sujFvpfDkuVaypsM1IbANCOcqnf6qqeooX+jHAryv7h84QE7+mHPCP4atfmV9zAOzcjdDCf9Vtn5IzIIZ+4af7zVlRnJsnTlMAyByuDD2lUYKc4fRwZ1kvYMgjgF8xOIkY6pwJM4stF2Y26bAzkDsTg9vUXaOjYi2FrSixZduYmYlTjrTMZ/YPpqJsu7CbDyDK2h9FAOB3XN3DA8Ji0BPqkXUTLkLAe0xMdZBueWTqWwoAiI1zekZIqqp6aNxsmUNVVVUVA15VVTHCsauOAG5jF8xiy4WZTzqPMNAUgw1uU9fEtYqVCltRYkZCiVc3VZcEAIKn/EvbxzUUZctBPI8Aoq4hw64XqarMs27VWlzQ627FgLchE2VWVesZIKmqqragotGyy6HmBuBRZYqG0QcwVjfnseXCzCqdh9N2wW3qOrhWsUpha0rMSCjbcxBVCOAy8N2ExzUR5WcOgv29I3wkPiCEje+vYWK/HNH0sMAlekOjlwj8137RxSbgh/JRl1nsA6fz2dW02BHAnf8iHuvfc0kpt5nJlgszq3RkYezmw23qztBXsUphq0rsy9sYzgFc529ATETZOIjyUCLO6jv54beJK+ihs9KN/3KEM+y9L7sJA0hC8N/1FxpMgP0pX4UILwHYNXU24hkC7MCj0W1MvYjOInPZcmHmlY7bIelvGfAWMFCxQmHrSuy72xh+YD7Az/OnbCDKxkH4iZe8/fyZ3ZvJfo7OHNS1hDeHwaWTWwlQaq4O3SbB89n8UWFV9ZYmzJkVkLNg/N1MMYM4ly0X5t+UzoYwULFqjnpViX21UPiBRQ+vXmy8Hp8hpuPzPZp0T/Fpd3KIw0w8FYJINbBUa+Xo53r0NpujXtqVfoV7X58jAE+xJGO8/z9ky2UxVQ5JZ0soRphmldiu2hh+YHHixaiXYq2GZCc1P7eWhpVpPQzZcOXw+qMa93MJIGquLPnoMFcuBhtuxfOIU86vXzcovgoB4KkCyL/CLPCUceZ7YSTWlr4t641EQnwVxjW2hNf3+RYtgaFylpaObYGYpW9TcBthXGEzSmzhNsa14VXwA0uiejN7ni4azIJxtAfmpNPjTSyvZ9BdZ+VLIn09m51a8bOqquqpWHtZdB6p/V3UX1W7FlPWGDnM4VW2RaixshMAqmdTQ71E+LZvy7rytZ8oAcSbpASd++ohCU95n6lyXEgnHFvSYVsgeqnbF5w+jlU8rrD5JOa+jRGXBU02/DSaVWQZAF+20nXKoiu15Jvf+g7i6X2WrWV+1z/c0F/1XARAENWnT3lRkkTe8OKsOlnRdkE3g40sNtumg8jgF9XzFgGBcm15BiB8BkAYRXVT1JZ435bvWvVJWLNW1Ld9amzW+X0AY+W4kM5YbbEuEK3UK+uCM8CtiscVNp/EFmhjhBZ3uuEn0fiHep+JzHyuHEQh+tO+g4gbfWZh/9ki9Fc9+zgWVVVVyaejPBBOuAUAyBxj4bpR1ufi3EHY5PB+WfM17rsAOAavd65HICpeastaH435HtqPlwiyKrIs0LjVSjlzS0fRhNsWiF7qhgVXJHEc99Mb2EtVVZVrFY8rbD6JLdDGdFvciYafQss/VIUHIAx7zslZD6KqijEH8fRePv8RQrJvzkdvVOrpvd8Rmp6m2nYPDI0HDH6xOLFzB2GVQ5bEcZJp7RuOhHe6whNNI7Hl+56X2R+eToNdX4qOYD31G5eVcuaSzi0OwzAu1E24VYFop25ScI/3yLAY7aDKhuP7uFbxuMJmk9gSbUyvxbWsCdNp+4f3G2FPRBYOwkDyzY898yWvEdCkbfiGQlK0j1ZbVUSatfyGobBV3oDbr6osHsZF72+jDsKAQDRiJLxSyWxZ1W8Irz6kUa3wIHb6Ze+OHayUYyWdHhcf0S3LYj9W1haLAjFI3aDg2vOqvtCCjA1JudXYqMLmk9gSbUyvxbWtCctg7CCMJN/82HMQwavs6+n7oNPw3jA+QPrwFBe8iQdVGw7+4WNbwuYctRXy+2oH0SmZm/AqMmTL+H3V0xeHbscJxer4MJxq1VaOlXQ6PJsJ/mcUKJtw0wIxS1274DpLWby4qKqqeib+eLm51diowuaWWI2rNqbf4k56TNcYOghDyTc/dcN9s/cRIbcQANjpjxDIXbFngx04ENzGL2oSGl4z9iVb4bdODqAd69UDWmU7VMixB+AK8EMZZAPXSAjEJPUOTPpcrq2cGaTDD7n32insJb4y0qhhgRimrltw1xTw4+xZPZIQAPj1z9/D4e9/pxLrnUk+rrC5JVanuVwbM+UxN4ap5Jufug7ijlehhlndlSt/T/pP8csBvei0DKM7uLSzJEZgAIJuFVGWrRcByHN+YEaBhkO8jzACAJRG51waKGcG6VwZLs3DqXdOGBaIYeq6BcfhXYpL6CGIXlUTLM8ZAC9b7dBHO4XZSgxYto2Z8Jhbw1TyzU/djXL5Z3OIn8TnO4AUmlvl+aHUtV3JdY6h6nBZYwOd+86MuxzEHS/aXO4lcPKZapu2SAAAedNU5SZZGyjHTjoC+bWu+jUaSRkViHHqugUX3JrE/ORyvb99SpioM3GlMUuFWUoM7tsYEfVjtjx7D287gRqNRdnQcRCl0MH1b9czgPSopQF+YEZvgQsU34/WVZXjp1gNaR9bwz7xCShL5TbtTroBqwMvAAA4g69tYBPlzCCd1HhMxqRAjFPXLLggbpePd7ncGSt5EIQ2DfRc2CrMTmLLtzHKx0xHojqF/WGpg3rEUfVEVm/J5pJ/0xliYhDtG8ev5NUsXMsJNTnE6ssArWKvg+dkhgYK0JxRDNwN3iyNlDNdOvxuHGPVoEAsUtcruGM31eMlK57ZZdXj6mwVZimxxdsYu8fcHBaifCNxEEJpXHy01Dv2DAcG+IvVckJNr5BLdD8ZIAbq6SgTfLSGMgxGmMyUM106qgDVMvQLxCJ1g4Irr+fzuR+xbq05O3uFWUlshTbGqiZsDhvJv+gMMfXHKo9XLf3xA1PHFv1QYhEH8c8OHmnRqyHy6JYS7gCQxmYvHSEA5LUOeQ5Ps09rqJzp0rHp5esXiEXq2gXH6oPVrzgehWvud63lX/NjrzAbia3Rxqgec6zZlYxLrbQWasLAlsRBiH9zqBc6/ZcBnnZXjJc280fpiCdXnItghfsQm25zKCF2LEsGvaHIU+5xwDQ0aj3ZWqvnzrXHPM2UYymdidgViC66BXduquL97sefIafz1bCZmg1rhVmV6BJtTAflY646A7QEHQch7yuoC+GUG9Vyu95fOXmGx4xvdxDdZX45oFV9T6mXnXMgNQzkH+bNZGsuO6tWnpmZcmYYODAfjDUpEJuhXr2CO7WnAsvTOYp8AOU9HVlIA7cas1WYlcQWaWM6WVrWhK0xYY2uOAchkZq4kG2gnE6pWS1XHUNF0xNzkEM0WAq0V8gMaf6c4hYkALjhuVufydbyrnvuralyZpCOsbiMCsRGuloF99ooV1VFcgQAfv3z53D48+dcwlvrABWFwmaV2AptjHVN2Brmkm9+UjqIHO0VtPKcjGv52DFUfOQ7woCy+U9NziDseh2wV3pFEsKPACjeTbsEeJ1hj6tuB8JYOTNIJ/TMBmXNCsQ0dUCz4Di8pLiEgB/divpcnjLPS5gW4IyoFDanxFZoY+xrwtawkHyDEIIjk37SjmfSu6B6BYnRii76JsArGEgRx92o7pj3vJQJZICbIE/L5HCDaLsQnbD4Mls2Ye/FYMdaFEB9c6EbVdVcOXNIJxJjuGE8MI1pgZilXjVJqwouFo7/eH6OeQzHYyI61JhSYfNJbIE2phvcaEJNWAKjWEzGkv9cKnyTdc2QeZ2AiMe+xSOgCR1WVVVVFUKErBh91Te6SXpF/8RQCMbF+XIHEUOorxegcwSdxJbVrYksGqEvI5ktW/iv9uLYiwMsv9FCOXNIpwC8TyzP53htGS+Qqam/GC641oN0w48+4jAMw1jVajrUmFJh5hIbUNgSbUynxTU2/GSKLMv0szFyEJaSr6QO4nPrMwYQCsJMpCYFAO+d6M27dL/v6rMxXj+sYIYlT24aZZsnymkTAvCbsrygV7B9W7bDGreCHTfIbNniWLcXt/5F0httlDOLdOJ2oY9XNEWBTEz9zXDBTcehxpQKM5eYXGGLtDGiqSwMP4Wi2fAYxMqDIquqMo3maif5qhfuG2i8x/MWSaT17H7UitPkJ1VV3UJ4wl8oC7oL1PHYL9KmxNOM6e+aL3cQHoAbEBdVVdWxeTuVomdLURsxACRZ1rLGcADlqqpeTUT19Pvyk91opZx5pBN9+smJh/4hug2qApmWesNwwU3HocaUCjOXmNTmy7QxQrNpZXhrbuI60UgnI8Nw33aSlzqIMI7jKKyHOMPeI3QO/C4A/5JVWWsrSaeXGUl0cwTgx3HQPfG6kp1yvhrf7SAKAF77DA2vp4nu4e2FoI3ny6SZcMPYO3rdAY0lf5LkRjvlzCSd+FUaz9h7APAGTpxSFsik1D8MF9x03GlMQ2HGEpPZfKE2pt3iWhrekmPt+oqqqorY6/95UkwPDLKSfM9BiKsEIskDFKL3ub211xwFGHbM4aN/etPznU/PVyZQH0S2FP2q9bzFcRyr3wi3kMPrsJbLS9ye5LWkY8tnINall0Vbn8hs2QYAQtnrmeRGO+XMJZ0shB/HkRc9X7vtZUMI6gKZknqbwYKbjsRBzCQyDYUZS0xm84XamFaLa214O8L2UxYBAF8tBOMT5awkX/2I0Sh+m83KQRiE0v0Vv3f4heyL8nrnCKPOPhn2F4j68cLvDIAfdtea8b8ljivFDeiRHyBET+TXtN5I6EUzLTx3nwPA8zpov8yYg7aUM2DLD69glbfuXinFjUbKmUs6JWN1qZy9wDpSzVypDxXcDHQ1Nr/IxhRmKDGVwly2MecrkK2yMfqQw380pcf+QlHNAFg9rpXkO16mPuA5G+niFDDqsYYw6RLERlc7pvPu9fCB8FY8El/Sa91qDuPMbcv6TavffTcTgd1Nm5KOKUMFNwPdHsTCIjOTmJVQZmpjjF/JZyMUB8hiQONs9YUe16LbdDF5sgvEE9nHyYyudo1YtQrvXYOfx7mqlvscFMxsywSQdY/NRGB307akY8pAwc1Bx0EsLjITiVkJZa42ZlUH0bZDBmgsx9uug6givVmUqqqFr/9e9PC2M0NddatW+Fny/fRmmvZzn4OKeW1ZAJLtTGYisLtpY9IxRV5ws9BxEMuLTF9iVkKZrY1Z00H0txcqDbNhB1FFrRXJo5hJ8LKxSi5UrQSt2ba5hjPc56Bkui2LrHnQh+zVx6odMrxpa9LRQlVw8yA6iDVEpisxO4c1WxuznoPoAmjsu9iyg6gS3fr48PXXSlwAz00leWaDjN0mbBsM2rvzi5kGjN3noGayLY9N/bzJ66qJCOxucicdlygLbhbEza+riExXYlZCma2N2ZaDUIYE2LSDqIpw/q2FsSqqjDUjx3Qob3vZoFOXhHo28cGc5qDBVFv6r8cujos5tS7upOOSZQpOcBAricxFc2HFmFA24yCeWxpi+p+k0dTAz/LZz+Hzna0xGw5kOJpjCTRBH++fHwEgYOD59Md1n4MGE23JS6ReiLy8A7jEyutd4E46Dlmo4NoaW0tkLpoLK75CKAzQPHZpASwdhIujlDRPmLHgcgH+svay4fsvEKrO/2tXrc75hR6aM8Cm4D4HLSbZkgG41uGB/ctKsnYnHYcsVHCCg1hNZBs5ee0rhJJDPFVjVawdxLchHqaqfdzU+6Ky//FMJ8W7z8EtfszKEggRBFt56/kOFiy4RurfKrJdkUM8VWNV9uIgOudLaR9o/n716hzW7UF6upIN7nNwi7/WcWbfzoIF14wqfavI9kTOgGAzXZ3/U1/yT9DpMnQP01Xe4+Y9y30OxN4RlE8i2z5nAMpAG4uxFwchHkDItXoQ4nHcLnCfA7F3SGPfxZkBl63MQOzLQXxKvdPTHoA5nytynwOxd0hjXwW7AtFmZiD24yBytF1CZ0Zi+Ba3s4fucyD2Dmnsq+AHINzOANNuHERnzkEccOpy/vnJX/c0c0Ue5hzAdZ8DsXdkGiORbRx+4Ai2ctwBgF05iGDwVzl3IGq8SPC66wXXSUCJ+xyIvSNojES2bfiBIcik52qsxU4chOkcdQnkDN5nLLDT32Co38YmPZHjHIi909MYiWzTbNA/7GUfhOk2ubOHM3ARX71ae06nv3q5z4HYOz2Nkci2zBb9w14chDgrrZ6j5r8AktZulRDClqIc8KatHXSfA7F3ehojkW2YTfqHnQwxlQB8T/x1+Oo4AoDjo12z/LAd868sp4V1cZ8DsXdkGiORbZdt+oedOAjJIqaRHoSXVMWjuolXxABP37+kmFaz3OdA7B2pxkhkW0X0D+nhwEYvX4z9OIjOIqbxnnV/a1EYAtfXCkGeArEyUsc47nMg9o5kgxyJbJt0+g9lnm9kNfIeHYTWNrketwDlGUC9WDl0EGnNfQ7E7iGRbZGNji9hL5PUooPQitTXw8sOLM2jAOzKcXSx2dF9DsTuIZFtkO36h304iJID3sclKOaoh/Ae53v98uXHbkZu3edA7B4S2ebgBwaE19YnG5mAwB4cRP7qMuRA4IGz1/agHJ7xMNPlwnIOP3C3dNx9DsTuIZFtjAMDcFVetgr/vIMoD/X/2QGomjMecQaOFjFP3FcqqraEc0hkm2I7/YU+//wkdavwAwi7hGj9BkEQxBj/fA/iWAm/bipSIkEQRKW+ZDX++R4EQRAEYQc5CIIgCEIKOQiCIAhCCjkIgiAIQso/P0lNEAShxg+/6vSkhR73Z8sz6ARBEMR60BATQRAEIYUcBEEQBCGFHARBEAQhhRwEQRAEIYUcBEEQBCGFHARBEAQhhRwEQRAEIYUcBEEQBCGFHARBEAQhhRwEQRAEIYUcBEEQBCGFHARBEAQhhRwEQRAEIeX/AZFeer7mUJXGAAAAAElFTkSuQmCC"
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\mathcal { B } ( z , t ) = \frac { 1 } { \pi } \int _ { 0 } ^ { L _ { x } } \int _ { 0 } ^ { L _ { y } } b ( x , y , z , t ) ~ \textnormal { d } x ~ \textnormal { d } y \approx \int _ { 0 } ^ { L _ { x } } b ( x , z , t ) \left | x - \frac { L _ { x } } { 2 } \right | ~ \textnormal { d } x ,
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"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"
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\Delta B _ { 2 0 } \sim 0 . 0 1
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"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"
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\overline { \omega } = \eta \Omega \sqrt { n } / 2
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