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"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAAChklEQVR4nNVX3dWjIBC9355tgC0BSyAlYAl8JWAJWIKWACWsJUgJoQQpQUpgHxITQUw8u8nJ2fsUZga4mWF+/Ir4LH4mq7Yf+QPjJ+oygnXBA5RwRp4SeD2sGajgBAjuO0hFtxZxDYUxPsAT9RYzB9RtoVaLG3688u8Gl61rC90tK9J16Jt8zwsJ+LYaUkntoORqrThM/y4Cvql6kj5R40BUIpFAH95CwDWVYXrKCAAiffiCIJg3ELD1yfDxLFNpcADLLBlgjxLwbb3... | | \omega | \le \Omega |
"iVBORw0KGgoAAAANSUhEUgAABaAAAABgCAAAAADOG4oHAAAWjklEQVR4nO2d67lsSteGn/ldXwJWCLVCMEMoIegQCIEQCIEQWgiE0EJoIXSF4P3RJ+pA0Wj2GvePfe3ZS52ewVBGnX5aEARBEHvk/75dAYIgCEIPOWiCIIidQg6aIAhip5CDJgiC2CnkoAmCIHYKOWiCIIidQg764DThn29XAQDqqvl2FQhi//wJpz0o5KAPjQj/5q74di0AxF7+7SoQxO5p3PxvOOWBJQd9ZOrf3L2UzrerQRCEFaws3fy3tk9ADvrA1F7jlu63a0E... | \mathcal { Y } _ { 1 } ^ { \prime } ~ = ~ \mathcal { Y } _ { 1 } \cap { \mathrm { K e r } } ( \Lambda ) ^ { \perp } ~ = ~ \biggl \{ \eta \in \mathcal { Y } _ { 1 } ~ \bigg | ~ \int _ { \mathbb { R } ^ { 2 } } \eta ( R , Z ) R ~ \mathrm { d } R ~ \mathrm { d } Z = \int _ { \mathbb { R } ^ { 2 } } \eta ( R , Z ) Z ~ \mat... |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABgCAAAAADQwpL1AAAN60lEQVR4nO1d25mjvBKs3W8T0AlBGwIbghwCGwITgiYEOwQcAg4BQoAQIAQRgs4DNwG6IGBg9jf1NGNjVGpare5WS/yQuHBhPX6eTeDCv41LgS5swqVAO6EqzmZwDn6dTeDfR50VVZ0hTM4mcgouC7QZpGbIgOBsHufgxxWF7YDsBuTvqUGXBdoDGd7WAl0KtAcygJ3N4SRcCrQD6uJtDdClQHsgw2WBLmxAgUuBLmzAG7tAlwLtgHd2gS4F2oLn3x8/fvwt3tkFupY... | \langle \hat { T } \rangle + \hat { \beta } \langle \hat { \mathcal { O } } \rangle = - \frac { d } 2 \hat { \phi } ^ { 2 } + \mathcal { O } ( \hat { \phi } ^ { 3 } ) ~ , |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABgCAAAAAABJZaFAAAI6klEQVR4nO2d25WjOBCG/96zCSgFJgQmBDkEJgQ6BByCHQKEYIeAQmhCsEKAELQP5iKEJLAQnu499b0MPYYqlfgpXY0/FAjCzT9/uwDE94YEQnghgRBeSCCEFxII4YUEQnghgRBeSCCEFxII4YUEQnghgRBeSCCEFxII4YUEQnj59y1eugb8LY6I2LxFIPfPDrTv5GfyhiZG/vnTHe+FOIbjBXL9fU8Od0IcxeFNzEmwS3o62gtxFIdnEJE9iqN9EMdxeAa5ZUd7II7... | J _ { i } = \frac { 1 } { 2 } ( p _ { i } + p _ { i + 1 } ) \sin ( \theta _ { i } - \theta _ { i + 1 } ) ~ . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADUElEQVR4nO2Y7X2rIBTGn97fXYCOQEfgjkBHsCOQEXQEM4KOoCPICGGEOIKMQD8kvsEJbYLtzQefTwYJ/D0vwOHF4bn1538DfKUdMFU7YKp2wFTtgKnaAVO1A6bq6QH/0s19ay3jQvwuDClHqYJgAMBy8vVv6oU6sLbHjkEfNYBNzrNGWyCLuMNqA0BK4hUZg3XOANlVHGoDPP3+rwfs+1t7C694O1qgfX8tbPiWMiua68N5Ax9VECfnnDsL0AFzYtllnhJgp4CF+gv... | \delta = 0 . 3 |
"iVBORw0KGgoAAAANSUhEUgAAAoAAAABACAAAAACv0ZliAAAM20lEQVR4nO1d2bWkOhKMnjMOyAVc4JmgNoE2gTZBZQLXBK4JlAkqEygTKBPAhJwPsaQ2ivXWO2eIn77FImVIoVRqo38RLlz4HP7zaQMu/H/jEuCFj+IS4IWP4hLghY/iEuCFj+IS4IWP4hLghY/iEuCFj+K/2199pvuyfiX73t+PvQx+iMLv8a8s35HMv6K+nrfxT23+oW1oiwT1xncNKshyVwLvoZVS0Zv7GfwEBSJia1VxNu/wM/XVMhtLKaUAcvsJPZExFywPeHs... | \mathcal { { N } } ( \mathbf { { r } } , t ) = \psi ( \mathbf { { r } } , t ) \exp [ i S ( \mathbf { { r } } , t ) / \hbar ] |
"iVBORw0KGgoAAAANSUhEUgAAASAAAACACAAAAACOg+sGAAAJPklEQVR4nO1d7ZmiPBQ9+z7bQLaEbAlsCVgCloAlxBKgBCgBSoASSAlSAinhvj8SPhwUQkQHGc8fdQYwnLn35n4yvwgfTOG/717A1vEhaAYfgmbwIWgGH4Jm8CFoBj+MIHk6LDzj91PWsU2oPJXwF570cyQoP/6Jg+Wn/RyCUlZchLf4tJ+jYgUAsMWn/RwJcsRbS9BRwQNkxqBimXCokxTh2l9C74sEng+PJUQUgRM1HsCmT/HhL/ySratYebjvuJRZVVAShAAkAoA... | { \psi _ { w - 1 } = \frac { 1 } { w } \sum _ { j = 0 } ^ { w - 1 } \gamma _ { j } } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjUlEQVR4nO2SQQ0DMQwEN2XgQggFUygFH4QrhFAohQuVHIQWQgMhgbB9Oo+ofVW6x+1zPfKuZAfiuy4/5ifwF6CGDgD9vuTBpSvpRpL6pLg5bnitO4CsWqObwc+dYdcmWKp0KbMIa7SNjI2PNIuoIrjtQBVknZVMhXyDjCw6NHdAAACFq1kbgHD+5GGAD4M9gA4hApH1AAAAAElFTkSuQmCC" | \Delta \theta |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAE4klEQVR4nO2a23mrOBSF/8x3GtCUoClBKUEugVMCU4JcAi7BLsEuAUqAEkwJUILmgbtBIGPH5Ey8XsItey22pH2R+bD8bPy1tYCt8XbA1gK2xtsBWwvYGm8HbC1ga7wdMHMv2/3OXiZkK3zMVIKfGSp9nZRtMOeAD+B/XynPLYEQzMuEbIW5GcBF6JcJ2QqzDvgJeKfBrQVsjV/D0/1hcKqRMpAvlLMSD8i+iQGnC2QloARQZgDafPtQ+IhsO4IGiKvjqwEIivFT3w4... | \dot \mathbf { R } _ { j } = \omega \epsilon _ { j p 3 } \mathbf { R } _ { p } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEjElEQVR4nO1a3XG0OBBsX10CuhD0haAU5BDYEOQQtCGwIUAIEIIIAYUAIaAQ5h4kQOLH5zX4KFdtvxgWMVIz0zMj8Bvhd+OvqxdwFC8CV+NF4Gq8CFyNF4Gr8esJ/L04v3M+HjZcHTTuHskpF+KgwQ0sCVgLZwFAnmC898bGZ1I6pvITzKagNXIAw8bv30Jka1CAOGp4MAv7G2MMIA9OM6EDxHwmAX3QoECenP+0iJskGBXw2B/7FVgLnvywQaBpgL5ujk00TQhEymU... | \Phi = B _ { y } a v t |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAB3ElEQVR4nO2W0ZGbMBRFz2bSAFsCLSglkBLcAimBlAAl4BJ2S4hKCCVACaiEmw+BjYSESfYjMzu+f2B0uO++J+EX8TF9+eD6J+AJ+CyAr/EN17lh2D02ljnAS2o3/uyAuliuro5yzFtQQg3AvF7Nhjr1lFcyAweY1QBFS5U3kHRQAs3m+u7mnINpAszmxt3NOQd9EIGk33kDSQfD5qVXIjexUgALa2x2OlibA0wTsAxOd/Ryr0wEoyTN9VH+XrtR9hHwA3DDcf65Eux... | E _ { 0 } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAADK0lEQVR4nO2Y3XXjIBCFv+zZBmiBFmhBKUEtKCWwJdglKCXYJeASpBKkEqwS2Ac70gCjle3ED3sSXnwAMZeZufODXyLPHb+eLP8H4DsA/F7b6I8Y/0SA6XUC03wBQtRHBWC6ld07xgqAh2oH7vwkgABNjK2heQ7A2bCLMcbO0D4FoDJXuYP7tBu0ODgSrvSxoT6qHHsvl/Y6iV7ydD31ydQ45VD/ymCytf2fplURcpUO+QeucENnUAzX6IzQfHCuAefbEHwNBVmHKwX... | \hat { R } ( t ) |
"iVBORw0KGgoAAAANSUhEUgAAAqAAAACACAAAAADxZIQGAAAP6UlEQVR4nO2dP7arOpbGv1erJ6BbPQJO1GEtneBF1YkYAl49AjwEGAIMAYZghoDyTqyo46PVHXRSa5U1BFUAxgKEsbENsq9+wX33cS2MxGf921t7/6Hh8bjLX7Z+AI/nGl6gHqfxAvU4jReox2m8QD1O4wXqcRovUI/TeIF6nMYL1OM0XqAep/EC9TiNF6jHabxAPU7jBepxmn/b+gGeTSkljcnWT+F5Fn98mD9oGlHsxXHrx/A8i08b4ksJJKLa+jE8z+LTBMoCgEB... | h _ { \ell } ( x , t ) = \left \{ \begin{array} { c l c c } { \frac { x ^ { 2 } } { 1 - 6 k t } } & { \qquad x \geq 0 , ~ 0 \leq t < \frac { 1 } { 6 k } } & { \quad \mathrm { i f } \quad } & { \phi = 0 , } \\ { \frac { \phi ~ x ^ { 2 } } { e ^ { \phi t } ( \phi - 6 k ) + 6 k } } & { \qquad x \geq 0 , ~ t \geq 0 } & { \... |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAD8ElEQVR4nO2a4XWkIBDH/7mXBrgSuBK4EkgJpgRTgilBS3BLkBKgBClBS5AS5j64G12B3cjp+vLe/j7kJc7K8GcYGMi+EH42v47uwP/yFHA0TwFH8xRwNE8BAaxxO7QaYXsB7q96f9+81SjbC3iTmRObtxqHkqjzmKVAR11ao0kkCWhzyJiNi/TOpJA0hUQdNaleJk+GJLbOAYsfLsD8cAHOPrj/WwswiK+gld3W18goQL18btOcjQuwVXh/vuP7bteIiDpWML1q8Yo... | \hat { I } = - \frac { 1 } { 4 } \int d ^ { 4 } x \hat { F } ^ { \mu \nu } \hat { F } _ { \mu \nu } ~ , |
"iVBORw0KGgoAAAANSUhEUgAABCAAAABACAAAAADuPFnwAAAPmElEQVR4nO1d0bWrqhad943bALcETgnuEkgJpgRTApagJWgJsQQtIZQQSwgl8D5iEhA06MHEZDs/zjjbkCULZ6YsWMA/Chs2bNjgxv/eXYENGzasF5tAbNiwYRCLCUS+lOENASHLd9fgtdhYOQ6bDwsJhPxplzG8ISyqw7tr8EJsrHwKiw/LCITcRcUihlcC+e4KzIRVb1Lj9yjEqlnZvLsCAFx8WEYg9it+En8P+fOhHXPxI6xrhfg1CrFmVpa7lUQ/fT4sIhCpzJY... | \begin{array} { r l } { \mathrm { I n d } \big ( R F _ { 0 } R ^ { * } + ( \mathbf { 1 } - R R ^ { * } ) \big ) } & { { } ~ = ~ \mathrm { I n d } \big ( R F _ { 0 } R ^ { * } | _ { \mathrm { R a n } ( Q ) } \big ) } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAGAklEQVR4nO1b4ZWzKhC9eec1wJbAlsCWYEpwSyAlkBJMCaYELQFL0NeBlqAlzPcDUBQTk+8lHM/ZvX9CAjjDZWYYwBwIPxv/RpZ3bvr/3vJgnfxdv9gEXIfIArdwiOwCh7SIK3AL/8QVN4DHFbiJyAQ0ccU9gMgEACK2wA1EtwAWV+AmoseAH07ArwvEFfcAYlvA3gwgugXsLQRED4I/nID9JYKRCdhfDPwNgrEt4MfHgB9OwK8LxBByPJRPtI5sAS8wgI/D4fBRAag... | \gamma = \omega _ { 0 } \sqrt { m _ { e f f } U _ { i } } / e E |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAoklEQVR4nO3TTRHDIBCG4Y9ODWAhFmJhLcQCFrCAha2ERgIWUguVQCR8vWTa5WfSe6d7g/c5MAM44nwuX/qPgKtdPNddpBX8jHoAkskS4nvTgOhTVgFmgd+GoJBkmmC7BceEqvcgAMoT0PYWdL0Bqes10L5XYNQtUCB03QAFsGwkWeIIKDADCDlHfx8BieW4Ll8dxNXPfr895mWyO+7/LwAAL6llhuQOhGsQAAAAAElFTkSuQmCC" | z |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABgCAAAAACYx/CEAAAHQklEQVR4nO1czZmrOBAs77fXPeiFoAmBCUEcNgDmuEccggjBhAAhWCGgEKzDC8AKwQrBewBswIB+DM8cqMuMsRuaotVqtco+3LFjDn992oGtYyfIgp0gC3aCLNgJsmAnyIKdIAt2gizYCbJgJ8iCnSALdoIs+PvTDrziX/PPZx2ITp0XGyTo938fdoB2Xxy21+74un7agy62l4Nk9GkPetgeQYraP/MHsT2CNPu0Bz1skKBtRdD2kvSv26c96GFz07xaM0dLYWjid4G... | \left \{ \begin{array} { c } { \alpha } \\ { \beta } \end{array} \right \} \equiv \pm \sqrt \frac { 1 - B _ { 3 } ^ { 2 } } { 1 + B _ { 1 } ^ { 2 } - B _ { 3 } ^ { 2 } } , |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABDklEQVR4nO2UwXHDIBBFvzJugBZogZSwKQGVQErAJagFpwS7BFyCKAGVIJXwc0BIjO1oNONLDtqLFv7y5rM7qCHei483zx+AAwAAOO2uvEUlBhiGvNR63ue+6E0XrtqRbj7nZmEnIKmOpEegXEaSo/QPgJQ2AU6R5NiN9CRJuRalAIxAFupzQMiwyt4uaVOe8/1rfdjnuKQBABA/PSIGdDbXtn1p4TqFu1kbrvEQE24uYGrb3gDAt6sqihXxGy0I0PnjSLJD1bDFQbQ... | \tau = 6 7 |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAACTklEQVR4nO2XwZXcIAyG/8nbBkgJtEBKICWQEmiBKcFbgl2CUwIuwS7BlIBLUA5mQGA2b/P2koO5GIP5JIT0M/MgfK19++L6G3ADbkBqb+3A8jsoK/+BQFWLFgBW+nx7VHqw/ZIKk9hbK4e4GM5DnDYKQ0Tr0FqxpvS9P5/KnU8OWIG956XFmJerV39IHQ4wUL31Iwb2SbZh4VsA4DrrV7AN6GIjKhFrgAfmDuD8LtuwjKxrgOuGwLENUAR/c5grgG2TgogoCsnePOC... | f _ { i } ( t ) |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAABACAAAAAB+Np0SAAALSklEQVR4nO2d65mkoBKGvznPSYATAhsCGwITghMCEwIdgh2ChmCHoCFoCBoChlDnhzdU7Ja+zMw6vH+mmwWhygKKAnrfCIHAcfnPdzcgEHglwcADhyYYeODQBAMPHJpg4IFDEww8cGiCgQcOTTDwwKEJBh44NMHAfxdF+90t+GKCgf8q/r7/ab67DV9LMPBfRYU2GHjguAhAfHcbvpZg4L8KhYh9dxu+lmDgv4oI8rub8MX897sbEPgyTo2QgqdVm/yiUfwtXHj4Nbw... | \sigma _ { x } ( \mathcal { H } ( - \kappa ) ^ { n } ) _ { B R } \sigma _ { x } = ( \mathcal { H } ( \kappa ) ^ { n } ) _ { B R } ^ { \dag } , \quad \forall ~ n \in \mathbb { N } , |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAt0lEQVR4nMWSUREDIQxE9+oAC1igErBAJfQk9CS0FmqhEkACWEACFtLPC8lBZ/rR5m9Dhn3ZyUKY1+nD+3cDdUtMkS4Lv4ujH6y57mL5zxbTgXLZzmvX6TfMvlHEnXXEgG9EkccgcngGAxS4IUMNkAMHURu0MQMRZTgudQ4Jfh6UQNAWPYJmEAiaQSBoBomgLASCYpAInCE9ALwQMLIAIjXjegduAdOac1l4sqteqy3+ZoTDD87+DRjmWSXRBi9oAAAAAElFTkSuQmC... | j |
"iVBORw0KGgoAAAANSUhEUgAAA0AAAACgCAAAAAAApFOBAAAjH0lEQVR4nO1d65mrPK9dc56vAe8S/JbgXYJTAlMCKcEpISkBSoASoAQoAUrAJfj84GYDTsBcJpnN+jWTyXDxkmxZkqUvhRMnTrji/376AU6c+GScCnTixAqcCnTixAqcCnTixAqcCnTixAqcCnTixAqcCvS7UH59xT/9DP8UTgX6XYhBvZ9+hn8K//vpB/gXkN8A4M4AAN8SALvvdKsQ3uH3/LehTuyOKgAAUf+SccAvdrpTAhRH3/PfxteZynMELilACgIAeNzan7b... | \begin{array} { r l r } { \mathbb { E } \left ( \widehat { \bar { q } _ { B _ { k } } } \right ) } & { = } & { \frac { N } { m } \sum _ { i = 1 } ^ { m / N } \mathbb { E } \left ( { B _ { k } } _ { i } \right ) = \mathbb { E } ( q _ { B _ { k } } ) , } \\ { \mathrm { V a r } \left ( \widehat { \bar { q } _ { B _ { k } ... |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABV0lEQVR4nO2VwXmEIBBG3+ZLA7RAStiUQAumhFgCKUFLICUsJUAJsYRQgpRADomKiLvm20sOmRMw/zxHmRlPifvs4c74PwB43HPYoct2gyUKoc4VYarbKDKPkz9i9bER7gGaDG0AoZQChDsIcFluDoRJKaVRg/g8BBhlBpCIKXMNr4cAOvs6BvTskDAeADiQM6DJYzRcbgNGSaNnADQrtF6La4XUB2HmjQe5uCQMa3EF4HsuYt6FElDYFhBbtFq2oRZ1FdAGqa9F3AJ... | 4 0 |
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