image unknown | text string |
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"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" | \tau { _ { \mathrm { ~ \scriptsize ~ c ~ o ~ h ~ } } } \sim \hbar / ( m _ { a } v ^ { 2 } ) |
"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" | K \geq M |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEi0lEQVR4nO1aS47jNhB9E8wFdIOASNaDgLPPhgZyAfYR3EeQjiBfIIB1BPMCAcwjtBaznjSPYAZI9s7CY0csFX/qRG0DeYvGSPOKxRJNVj2pPpzx2PguR7DsXV/hooZbb5YJwG02zN1us/s8Fs6jhrvI7JzCi94zhL04n4/NKWm5hLvIjFkBZ27/FAfBxGw0oJqh6PnUcBNmJsqcB2Ce/pl0w9pYAUCULXANN2FmnmPMWQBjd5C54QWApnCT1XDjZge3ixBnATxvuV/Nu2PfOf4/aADGbfOjOQCe/3m9iZswEzqyBDQAq/POpAPgsz+0am7STMf2MTmVmn14fYwcoy/Na/F5WMpNmp1wZJkfw3BGr4LrjcdG9iTmrdtI25dtlRpu0qyRVrHUMJ4+ndhuj4N/Gm/mpsyUYnlkD/iyZ9XwD+PN3JSZ5JMJCWC8yzP0Aj6Z0BVYYSKLwS4BXYE1JrIU7NPN6oF7x8ccoSKLWtu0C6YQMSt0nFmBGjnybHo8FXKzZksFDcLDtkaO9Op8PiOfc3VfYMY4bvlUTFfg9+CqQo74nQYuRVgaOjjgI2aM4y/4yg1HA/ghuKqQI8brslNYB5VdxIxx/Ak/csNlNjErRwanrJaDl1bLcRTO9QBGscsFMI7COdWp3nbbBuaAhFmxDsqeQnO43SsG6+0B6vPRKHURrE4qwIAWANe3Mo0EjFIwSgFKuR6DVXGzctAAwj3AypFBAQd0AkBj9EbKFgBsq4BB0/GvMkRK4MadIGLGOP6Cr1yYNIA/g6uLrkg8Hi9eR/t0BCABeHOkhOmNG3fqgTdjHP+Bv7gZ0E38U3C1NcDoyPPZWgBGOQBeD1B9c53Jrk3+FG5cEgBjxjj+mcztG9J7gJUjou2UU8LtpG2FH6TXANA/db6h0ieEH6TXdoTFCOucESJqVqGDwrQAqhp4OfJy+3s6v5yCmwlMuLOx5mTqOJLIaADf52bxbvgFv3K304nsnhBJZA9fTj98AP+eHqhSAwXkhXqAZOLysrxKDeTJc8ffqlHXEWa4p8v1QFFZH0GeHNcDexEy03sgoQeKynoeBeS4Y0NePqcDSOiBorI+Mrs8OerY0nJwgR6oKetZ7VAgHaJ6QNGyKVNOc6gp61ntsEwDFJbTJBNzeqCmrGe1Q4ycdvzptwWZmP08IV7b2Rl4KevTH3f81bCAXP5dJB0AqwcqynpeOxRIB9YxiwV6oKKs57VDgXRYrgdoOc3ogaqyntcOWenAOI6U0zlBcz8ofDP3cPg/gPdGNgA+5a/Q8MR3Ws1AAqDnO68HVmh44jutOIR7WpXogRUanphOqxbsKHQFwvXmy/IVGp7YTitWY5IASAnOl+UrNDwxc428oiUBKLLl+LJ8hYanORxf2pEA5P1+KbZFATQqPL34dqUVGp5mGCMCiOaBsK+IL8tXaHiaw8Q6scipdGqmJRPfrrRCw9Os0yqc1wSz/qC9nF61qpV7Sonc5VHDnUBJqHY6jI4Q5w1O2+00YfDfB1ZoeAqxl7Fc+GHevb7Dko6H/xbPMxF7BRPAY+FveW8WO+ttiE8AAAAASUVORK5CYII=" | \left ( \begin{array} { l l l l } { 1 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { \cos \theta } & { - \sin \theta } & { 0 } \\ { 0 } & { \sin \theta } & { \cos \theta } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 1 } \end{array} \right ) , |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAhklEQVR4nO2SQQ3DMAxFf6cSCIVSKIUMQimMwiiUQjCMQiFkEEIhgfB22SGumvZaVf0320/Ws+QO7edxML+Bf3pTLR9XJm8JqoQZopvrFgYYAvA2LazD98AhSVJxbQeApNB2APJo52sg+8gekF8Z7Jld/XLl6SUtsSk5SpJ8e8NWzvAP1wB+R7PaP51XXAYAAAAASUVORK5CYII=" | ^ { 2 } |
"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" | x _ { n } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAxUlEQVR4nK2T0Q3CMAxEXxELdIWukBXCCKxQRigjkFXKCGSFjEBXyAjlp0g5p0qFhKV82Dn5XiynW2nHqarcL0/JVxMT8CryqkMCYsvCbecbXQUZsrs2BYev+FVw1jTlSJr7siQz8AMwyFzMoN7AKBXDsKBTqCAj4LWkFs4iGIucqgYqiBWCEaQagQMEZdhBUIsdBBXsIViBGw4sbAMRbAihKfDcsgjKhVmAsPQP9Shm4sFugy7MBEzmfpW1D3m0r/zDv/gAlxDkXX3Kfl8AAAAASUVORK5CYII=" | i |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA90lEQVR4nOWTUXHDMBBEnzshIAqioEBQIKgQTCGGYAo2BAtCBcGBYEGQIWw/ZMdpk2m/O92fm5t9Ou1pRo34WW+/+H8UyGuta3wN5GSALmPs7SUwtgAYcPEZGMkGgN4AdcQGdM15zJ0hOiB1EcDHA8hr6dN5DWQPObuR+wQkSfOsKi9pUTvcG6Ev8pJUTDmaEwCpJnHGZQtjqMtYgApcbCBHpuBuFmweWyC5IwNFxdFKuh7XXcuRwUstTpKmZfdLTbqHHDDV6ndg0iMww6SPQZLKNmDjasj1nWvYdqmPvZctZMBLi530rBNAjKwX0nHqQc0//Rff9Qk39/eIW93KagAAAABJRU5ErkJggg==" | \tilde { \mathbf { z } } ^ { ( i ) } |
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y2W63s3bT9/3Hx0chBHyV8Xi8XC4rlYoMBA0Gg9lsBq0ghLiuK4RQVRWwCuMOyQOpg0tDKV0sFo+Pj67rzmYzz/MQ7K5UKpIfiswVx7HKFASd4FnCyhFC2u32zs5Ou91GBRBYaBRFMOhJkuRyuXq9fnl5uVwuPc+DZyUTNYQQePyDwQA0Em8fj8ez2WwwGDw9PTWbzWq1atu2bdvSPaVpfRelVGSkHFb66enp8fHRcRzUFlmWxTl3HKff74PEnpycQFelqWGZmtHngPgNbcmKAflHyhpwf5Iky+UShBlUGWqsKAocMFjgjx8/RlHkeavt7W2ks6FsG72SfQOF7vV6YRg2m01Kaa/Xu7y8/Pnnn5Hwlb0FScY8TKfTfr8PZF8ul3d3d77vLxaLUqlUr9e3traQHUbESNoW+ix09vlXQSlbczM5rRsSJoSYzWbL5bJQKNTrdRBK4Pp4PF4sFsjfz2YzXddzhRwIkud5q9VKtokl9H1/Op1C7OI4dhxHUiPDMBqNRqVS6ff7gIrlcol4gCROSZI0m83vvvtuZ2dH0zTP8wzDgEEvFAqdTmc0Gs3n8zdv3jw9PcmUDklZtcRa6VGQNIg8Go3my4VuGp1OZ2dnx7KsMAzhR7qui8SzYRj5gkUVVqvVisXicrVaOA44AOcCZQ2oDxiPxw8PD8PhUNO0nZ2der3OGJvP54vFAqBQqVS2trZarRawJkmST7kOuWyUUEoZWXtli8UCIfhKpVIul+fz+XK5xLqcn5+bpnlyclIoFBzH2Wjn75H452ojKCGUULH+K82Yvq9diFMNh8P7+/skSba2tjqdDqqfwKPCMMzn85Zl5XK50WhyeXnp+34c852d7WKxSAiJ42hdPU0+Uxh0YDweD4dD0zRN06xUKrZtT6fT8XhcqVSy/qTsKmNsMpk8PDxEUQQozOVyvu/f398PBoMwDAuFAihZNqn97MrWYQLX1mzty3YGH8IwvL6+Ho1GL1686Ha7KK0tlUqFQmGxWOTz+TiOz87OHh8fbdve6e4lSVIsFofD4Wq1AlsAnHue57puEATtdrtarRJCQO6DIIALTimFK4+KzKurq7u7O0IIsjRhGNZqtVevXr148QLOLhqHuajX6z/99FMYhv1+H9U3nuchCJ7L5fL5vGEYIJAwxIHnw5oD9mDctra2sNJBFLmua1mWEMJxHMdxoiiybXt3d9eyLIWyWq3W7/dRtQGyFwQBCnxms9nDw8NkMqGU7u/v//DDD/V6HcV4ruvCtIIbINqRz+cZY6i9X097Zi0opXg7pB+cNkmSTqcD0On1etfX1+/fv7dt++DgYM08P9eWbzs5377El9IpX7xN13XXdW9vb9+9e4cMtW3bpVKJMQabMBqNtra2tre3W62WolwiviqE4Dze3983DENVWQptG5ELwRg7Pz+/v78/ODjQNM2yLMhYv9/vdrvwUrLRTjw7m82GwyGldHd396effrIsy/O8QqEghJBpLgRpZDpBaghdG48vD3atM8jWAfKRR1MUxfO8Xq/3xx9/qKraaDSgIZTSarX6448/GoZxeXk5m82enp56vV6hUJhNFwhEQNpOT0+r1SoCyggkKIpSKpXANXO5HE+3D2CHjO/7iMgJIYIgeHp6QuhJVVVoKboE5wceJMIAmqZtbW0lSYKwzOPjI8D+4eEhl8uVSqVarQY7Bv+HqUqEDT+Mrlarp6cnK5ffanfa7TakDQEWIUQQhQtnyTmH82rbNmPMzOcYY47jBEFg23bEI8Loei+D54+HoyDw2u3myclRuVxErALWdWtrC/SdEII0rtxNIBm5whQhBE+4qqqCCFn3UCqVKpWKmc9xzhlRCCGdznaj0ZpOpzBrIBuyflTWMoo0WSED35KzZVMTkhFwzmGkFFVJkoQLQQkhXDDGlHRXAuecCoTUKOYzDEOMdD6fA9GAlVjT2WyGeI9t24joKAodDofD4YAQrqrq7m5X0/KUUsoE5+sspxBC1zXf96fT+dnZ2WKxgAgxxrD6vV5vuVyWSiUMRAa7MWnD4TAIgu3tbQQ5oS2//PILomroLUljDDSzlUsIQWhCKROcyAQapQxOMqVUBVojEQFGCPcaOZn//M//1HV9Z2en0+kgpA3/qV6vD4fDs7OzarVaq9V838/n8/P5nHO+Wq1834ciHR4e/vLLL2Bu0+lUVdVcLhdFEWgoAoKgvL7vw8jEcYzUzdbW1nK5dBwHHv9wOIzjuN/vNxqNRqMBFZKhRqyTruudTkeyl/F4jJwpY8yyrFKpJKECAhRFEap4dF2vVCqYd/jlnHPXdReLBeYXTg6yVaVSSVEUUCOYo9TfTVarFShlpVKpVCpYWsgu8muouZSwDUiWhUjZRA3nnBMhUw2FQgH8m2TYJkIjiBMiT0XT7ATNVNGjfZombSV4P6+fSDWKwQmR6keIiONYSzNC0o6hqwiNykgUphq9goTBk4GLaBjG/v6+ZVnIVvf7fcMwWq2GaZpcxISv4ZsxGkURqEGv13McBz0B/haLxUKhMB6PR6MRPBySJqkxKGQCVVWtVqsw9SSTzUxJNZc6IwVJJnM454SwTJpoXXiB6VWFEMAhBBOA9Eje9fv9Fy9e7O3t1Wo1mbfCMoA2HBwc7O7uIvvmuQFj7PHx8Y8//giCoFqtFotFyEQURY+PjygAAc0VafoJwiQz/ZqmlUoloCZE3/f91WrlOM5isVgsFvf39/V6vdVqdbtdZMSBryLNWxWLxXw+32g09vf3kbaHfUPKT5ZCc86Xy+VgMGCMlcvlRqMhhMCWDGw1nc1mo9EIOtxutwkXq5VjGEa5WMrlckhDsbTQC8OR+bJqtWqa+SQRQoQ0s9+BphWWWCGEFmRxLslk4jnnhK1L9eBVo+KOEIIaH89bTSYTx3FQ7CxzESKNNUllgK2WXF9kogX0WUgN5lcIQbggXIiEa4aq6AoshpQwlr5OURRG13GtwWAAt7NWqwHvaaawAAkAFIbv7OwgFfbnn38+PDzMZuuEG2MsSdY1DVEU6zoHywKJwkLrut5oNEzTnM1m4/F4tVoBmwDEcASw7vl8vl6vg5VhjdB5JaP8cvjZacFqCr7eZxpFUZKsxRWgo0JwEVoFrHqe9+7duw8fPmxvb//444+lUgmOGqp94Oz2+33LsgD5QohWq6WpRpIk+Xz+/fv3mqb95S9/2drasm3b87zhcLhYLCiltm0jSACsAm3AgJMk8TwPc5fP58vlsu/78KBc153P50iVTqfT4XDY6/V6vd7R0dH29rasks4OW+Z5SqUSVi75fOtSGIaTyQRo1Ol08vm8HwZCCKYoMHez2QzxNMTNGGOmaeq6jmKn5XIpgRCxNaRulstlq9NEPFDCWNYWyRA50jvoicjEuLLAH4Yh3DkohmbocRwnnGuaNptNzs/Pe70eAkG2bWMmofbQUmnl5BJnK4ak/yOzK2s0IUI2IlEmjmOWajV+jONYoQz6QymFzliWtbu7WyqVwF/k22EDkXIAXWy1Wpzz6+vryWQyHA6bzabMX0k7hq9gLojpo2P1el3uHwHGAYNkDd58PlcUBRYJqI20jKSgkpihe0A0nu6tWBtYtq6EQvpV2mrO+ZqbJem+yyiK+v3+u3fvkiT59ddft7a2QJ/CMIQ9SZIE0oYEohBitVpNJpNatQGRgscCXFytVqgy5JwXi0XbthVFcV0XAWVU2vm+L4kQhioT6tAEy7IqlQr65jjOcDg8PT09PT0NgqBcLtu2/VkKPAV+ntbLQBogBEAOrOXT05Pv+9VqtdlsJumma01RVMa8KFoul4HnEy6cxfLh7j4Kwmq1yhjL5XK2bYP73dzcIJtUKZXjOJ7OZ0EUgoLyZzuHpakhhCRJFEU8SVBdIkRaFiB5F2OMExGGIY9jXVXXhoIL3/WCIPA8T7rRIIGQKtM0ZaBZ5nxpWoYHwQLSQ8HkDdABCLQQAmRbUui1r6V+SuUBy3RdJ4LGYfL09HR9fY2IWbfbRYGCTFbK6mPIIjQTiiRpEqYRPQEHZoxpmu77ASAJwVVQACAv2BCQC+Za7txEooJSKskzeosBbjBSkZbJU0qhfhAnfAAHpnSdKF+PCH9WFAU5ptPT0/Pzc0LI999//+LFC6w0WL5t25ZlzWazyWQSp3uSO50O1m80nBwdHem6XigUPC/AyFHAsi4o0nVovJQh9Pvh4eH6+vr29hYl0jBcrutiEjH1uq5jPJZlUUqvrq5830cgGAEQ2SwgTaR1Sln+ytOKL+j5cDhUFKVWq2FnuaIq8h7UaODrfD7/8OHDw8MD4i1CCGA/kpuU0mq1enx4BIuhqqpt25BjoIykgjIkil9YWusBjMjKDaZFmiNY/ru7OzhgsNvj8RiJ88lkcnp6WiwW2+12o9FAtS+WTLL8JD2VQVpa3/eXyyVMdBAEiGquViuInaqqe3t7qBvMQj7PRO0hx2AHp6enNzc3+Xy+1WoVi8U1gUkv6fMgxQQvYDgcIgZdq9X29vZKpRKWjCl5mkZ3UIAyn8+FELZtFwoFlEqZplkul6EP0lCwtGRTQj/on4RLJS3zkygm1QYqB2vsOA484ZxpIUxHCKF0zU7XUI4Vhavd6/XOzs4mk8kPP/zwl7/8BQPmaWUbSSudV6uVruuIhNTrdeT+kYJotVqtVuvDhzP469jfH6eHYGBUmDsoxtPT04cPH/r9PkpyYPHQJeATdACGznGc0Wh0d3c3mUyKxWK3261Wq6vVKggC7BiVswA6gQ6jNZLZJoAoxWQysW17b29vTUsoS8ia7geet5zP1xZciMVs5jrOI+eu7+u6rjLmeZ5HCEJ2tVoNtg5L4rp+GMZC+CSzoxAorqpqkkSAAOReVquVZVnprjKOHAXnXAhCBY3DIEmiJImGg/5iNln5nu/7/sr1fZ+kjtxk9BR4q3w+H3grhYparbGGeSFEkoi00lRRVQAw4Zxw7iwWZx8/IrIiEVrCcK1WE92upiiqpnHORZLwOBaaJhkd+KqiKBDr29vbMAz39/e3traAvDJiJA2+9GM556PR6Ozs7ObmxnXder1OCHMcV4iEMVYoFCilgkeC0tFw/P7049Ng5Pt+Plf4+OG8VqtVKpW8Zeq6jiIA5BVk6hk2x3VdufoijXxks89SYSQlxi/AprOzs/l8bug55Cp0XUeBnKTWazszHo8/fvx4d3fnum61Wt3d3S2Xyzc3N1haCKsQotFoJEmC8rNms4kdlPDqRsNJv98vlUoIByMOZhjGYrHwPE9GbyRv9n1/PB6/ffu23+/ncrlmswlQx82Qcp5uu8c+gsvLy+vr6/l8niTJzs7O1tYW6CzqW8GY0/INRXKhrJ8N4AyCYDgcOo7Tbre3t7clHgshGGXATqS04VzBjbZteyuXM03TW61Q07C7u/tP//RPpmkqlEH+KKXFYhE0gGZSbJIGJMm6G3Eco3rKNE3Ac9afkdFnPAj264WBqqpxEIIilkolZHhgNM7OzhRF4ZyA7kv0lbCN+UQtEszgbDbD8mmaViwWc7lcLpeDE9jpdDRNC4CsigId+EQyKaWUwic8OztzHAd1gKhdchwHmiOEAEOBcRBCLBaL+Xx+f3//8PCwWCzQh99++01RlEIhn8vl9vf34Q6pqopMAKo9giD4r//6r1wu12q1SmUbOxfDMPzw4QPks9VqvXjxAplicAQZcYHnQ55dIg2RQSyhb0EQIGGaMy2AiKZpirKmf2sbi1TDv//7v6OyGAb3/fv3V1dXi8WCc47M42q1KpVKzWYTmT7ojG3b4GDtdjuJxdXV1fX1NQoxJeXFqqAafDweg4leXl72ej0kUhDLRnkBTuSAfGOdYCt7vd7DwwNqZMrl8u7uLuJ15+fnknci24W4GVKfoHZJkoDvoS5LURQkiVVVrdfrhmEEQeD7PtLMfhigmm46nRIh6vV6o9EYj8eGYbx+/RqRzcFgsFqtUB5hWwXpD8BPKxQKQGLpmUjfVFEUzte7AFzXPb/4+PDwoKnGfD4/Pj6uVqsSm6Fy+IxgJqVUV1Qrb9mtdrvdxi5rWDDP8wDbb9680XUTSU/Oua6Zvu8rKgWaEEIKhQKilPl8/vDwEFWn6HOhUEB2zvf9XC4HvFcZi+M4RKyMMV3XCRdREMJOPjw8IA5BCDk4ONja2gI1KpfLkDbLsubzOSRE07TxeHx3d4eyw+VyiXFh8hErr9fr19fX//qv/1qv1+EAAzqx0QV6slqtUNzkB66iKG/evDEMAxVJskIHgg5VQWoVqWdp/bIEGF8Xi4Vt29DtXC5XLBYZVU3ThObn83m83bKsdrutqqo6mUxg4DjnruuaprlarZB3s227XC6jtqpWq5XL5d9//x16jACukl6maVqW9f79e9d1wzCS0QnTNJvNZj6fd133b3/729XVFYwGNtIcHx8fHBzU63XoUrlcbrVaqHRAwrTf7w+HQ0yWoigoCet2u6VSaTgcIvEPa4Pcs23bqCM2DAOSKj/AO5/P53d3d9PptFarVatVIQRggqf7xpIkWS6XlNJ8Pr+7u7u3t3dxcYFCoWq1Cv+40WhwzpFzkAExyZVFej4gydTGY5YI0SDQURR5njebzShRGGO1Wg1lWrKrqY5xRVFQpgCqgPwyTUOfyMFjUOC9sj/xeif9ekMEiD74laZp3W43Gz2TiIvpgn2A0kLiCSFJkiiMgUcMBoOzs7OLiwvXdff3909OTorFItJTkBx4SsApTOn9/T02ri+XS5ArsA8EG+CnEcLhNiCkQdNre3sbtXawiovFYr6YDodDXdd3d3dPTk7a7TZ2B+Aekqa/sCIIe/DM+WGSoeFF8Hwsy0K1ge/7RDAkKnK53HK5ury8JIRUq9X9/f11p1+/fo1QINS6XC6jYBt1gQhlos5nsVhAEyqVijwaD3mJ7e3t6XSKYjNJBnRdr9fr+/v7qHfo9/tYDFTXf//9981mE4NELixJkl6vBzWG64KF7HQ61WoVGycAsUAOvAVGcjQaQXUBmYZh1Ov1YrEoi/nCMLy5uz27OKeUHhwc1Gq1OI4BLYAMTVEWS2c8HlNKTdPc2trqtNqhH1z4F5PRuN1uIySKUATiM9JfwupKhxLwlgouZYwEgbcOvGhMN1R0cuk4XuByESc8EkQRhFPKyLr6isdRQESytdV+/fqHNRboOuc8DMMkiRSmCR47i+Vq6fA4KRaLlVLZ0HQeJ4wpjFJVUaggIuFCCIUyTVsfZ5dwrlCmaDqGs3Zp4kRRFFTcRVEUxwlTFelGw3RrisoYm0wmb9++vbi4iON4f3//u+++Q3xVljyiZnc0GiFQRAgBRQfxVlW1Vqth3REEwz72m5ubTqcjBI2ixDRzk8mMUgUu4f7+4cnJCV0XkmuO41xdXa0czzC13d3dFy9egC+4rovNbYjZgkNBT9A9KZlSZ1CvAERALezBwUEYhjwhlFLbtler1d/+9qeiKMhGNptNlTFWKpV+/vlnCbRQCdgQYB4Si7qu9/v9p6cny7KQYZXlkhCdbrdrGMZvv/12fX2LHCW8C03Tfvjhh8FggIAbymG2trbK5bLsNExzv9//61//Op1O4cYJIZDBbDab5XI5n8+jgAXQWK1WX7582Wg0SHqKEiRVOk6KooB1APNAnx4fHxeLRXdrGzkBGUuVKVfANk67BZnZ2trCNkndNE5OTpBEk+kj7KaUcTBJwz7zGlVVUT7lthGk8n0fxWyADzi1UvHgBqB6AL4vkFIyTNC/Xq93+u7D7e0t5xx1nDRzrgilVIh15F0aQPwODBaZpBZ+d10XEackSRLBpSGVYb3xeHx6evrhwwdCyNHR0atXr2CuV6sVTevwMRUPDw+9Xg+74kFTwQW2t7cxZHAhxtj5+XkYhpZl/fjjjwiIMcZQyyxbW5Nn3zdNHWwfkwljBREFJcMhE0joSQYhp0XOgJJuuWeM5fN55DxQB0gpjSNOKV0ulxcXF3d3d4VC4fvvv9/e3uacq3AoJcWSDjo2GMDswDOBlzKdThuNxsHBQblclirBOVeURNd1mEjLGmvp5ni4vHB+QHOTJEEaJ5/Pw2US6Vk2iKSBXOKEjVarJZ1dJd2rDPMNSlMqlUA6EQlANgn3wIRyzkEFEcm4f7hHOQzCFTQ9+Ac7bxeLxWQyCTxfoaxYsAt5i1KKerN+v391cVks2FtbW7ZVgJotl8tarSZpDBgX6oOA1rBXhmGEoU8p5SIePA7v7u6Wy+X9/d1q5ew1DhB8w7STTK4N8hSGIbIn8OCl7LquO5lM3r9///HjR0LI9tbO0dGRbdvQqOTTOYzr0DacB6mKNC1sATzL2hYUGcEPlL6BwhgnQtO0xWz+/v379+/fR1EEStZqtRANR14BWAOtQ/m953mIr+7u7tZqNTB8UF/4lvDExuPx8fHx4eEh/rpYLFAzViyWNU1bLpeTyWR7e1umK7DxJIx813Wx1tAfpP8LhQLi8ojiQBQhGyStuwNZhWIgrw0pQmTPc4P5fD4YDKbTKbxEXdcHg0Gv11ufNQ6QAzTiSYk9UBhZ6AG8R4REntFM0zSIEOLk5KTRaFWrVRBfnpbrIQ3C0uN3Oec4oEMGl5MkqVQqr169iuO41WpVKhVUJeNPMC+4WU0PhmaZoimWyVvTtJgCadCzs7OHhwdsWwiiMJ/PD4fD8/PzarUKuQRnsCxrPB7f3t5CtsrlMlBTCFEsFvf29iCggHMMZzweA3sopbquLxaL0Wg0mUwQmwKtB4F0HGcwGEymo7u7u8ViUavVwAnBmAEcwBSWls8wxhBuwnkjcHgURXEcZzKZ3N3d3d3dDQYDijLql693d3cxk9mct3S0dF1HfRrQEEER3DmbzS4uLnAY0PHxMeYceiu3f/Mkfnx8PP949uHDhyiKDg8PX758ub29jW4naYEPjk+APYTfW61Wj46Ojo6OkO6UThoG8vHjx99//x1A/P3338NJBsyBITcaDcuyFosZiqNN0wwCD16oYRiL5QyZTewLloRCCAEHaTAYYKpFmjxFFeJyuZTFWdg2Uq/XgYMoTV7MnSAI5vM5IaRSqV1eXp6enoKArCO5EA6svdRaKCgqFICapVLpl19+MQwDJyeBEeGICbhZhmEcHh7GMQeQoMxZupI03eku84zSyIItYItIkiSIvUoHGuYlGxKBH8XS6neRycnI0CFPd3p6nodwDXTP87w3796eXZxXSmV5DjLCR0IIhEMURQEPFAkPw8g0zZ2dHexkOjs703Xd0PSVs8KkE0Js2261Wtj5DH8RZVHY1uY4Tr//cHFxsVjOGGPdbvf4+Pj29gZVHoZh+EEgEYGmaUTLsrrdLqLekLPlcjkcPj0+Pg6Ho6enJ9S/4nyFbreLpJlIDyGQM0/Syk5Ujs9ms/l8PhqNfN/HXM3n816vBwivlivNZtPM5ySHgaMIg3B/f885Pzo6wkEWsDDwhPH4dDr1fb9UKnHOUdG8s7Pz888/d7tdWBVsaMV2kvPz89PT09VqdXBw8PLly4ODA5pWxE2n0+l0Cp1pt9vv3r2bzRaLxcKyLM6Jpume56FCEnEFbFWK05PykYF4enr661//CpRHRTk02XEcWCeI1r/8y79Uq1X45LlcDkUe49EUsoGswGg0ktRGxX4g6AnEFMkyfI7S/SSAcJwzls/nNU1zHAeuAtCxYOXBcGQVBm4DDsGVhB8ZZ44vAgFAWgAVh4VCARt34/T/q4CLJSsjoH5gArJkK0nrbaW1QSgC+omh4YiwMF5HhOI4FgmHIoFgyOOjQFGazaZpmnEYRVGkUNUwjO3t7aenp7dv32KKUfwHxKlUKp1OB0GOq6srHLZSLpcl2t3eXgdBsLvXPTo6wqkD19dX8/n85MV3UE5MCIgTSpWBU5PJZLlc5vP5TqczHA5PT98NBgNKWaFQwKlFiPOmlQcJUEnTNGwqAZzhAJOzszOU0GO5eVozUigUut3u9vb2/v5+s97QdT2IQqDVarV6fHy8vLy8u7uDmO7s7Hz33Xe7u7uqqqJQFZMJ3vLx48dCofDTTz9hVy/mnBCC/z9CVVUUCkyn09PT07dv3w4Gg2azeXx8vL+/Xy6XEdbnnGMzLPhCs9m8uLjwPG88HnPO8/l8LpcLAq9arY4nQ6hKkh7JgAr0er0+Ho89z/v48SOiQeBEJE1S2bZ9cnLS6XRwihC25buuKzcsdDod9ERVVdPMI21VqVRyudz6CGAlrSFXMjXV+L1arQKeMfi1hxTH0HJCCH6HskGy4SXLwiHp2IjMaToS/HDqkmRoiPOSNIENdCSZ8lt8lZV5sAlZkiYdccl2jo+P4fHDy5dOIc3UXKHDb968ub+/Z4zhDKooigglZn4dFcWRVHd3d9fX167r8vRMtkKhEMdxp9N5+fIl6juxnxb8DbWepZL9z//8z4eHh7lczszpQggkA7BlRAVj0XVQVnBjxJcajQYOGHAc5+bmptfr4QjSra0teAgI2gKJTBN1a6gbIpQSaPV0Or28vESGGzIURVG9Xu90OvV6vVKpQHRUVVU1LUpicAeA7v39/dXVVZSer7BYLN6/f397ewsgw4X6VCwc4sKYBChJsVjE+sK/Ry7ut99+cxzn4ODgxx9/xLkoQghEaB3HQTXgwcFBoZAvFPIHB3t4KeQQjiJKhyGNruuq6tqnLxQKJycniqJcXV1NJhPIAxC8WCwi54bqDTU9BUV6Psvlslgs/tu//RsRn/73B0KYlGQmD3H6ey4ptSKTFSKfl5TTdS3t5t7uL95PMyUMGx823vv8d0o/ewX9vCg4ez+yTDDWWBjJFbMKg8dt28buv0qlIp06iIWiKKVSaX9/H00NBgNULSCXRQixLGt/fz+fz9/f3yNcPh6P4Ss2m81Xr14i8E0yh54hE4WcmPj8BFCpM0h9oOoCPaxUKo1GAxuN5IlNgtPMqDf/XyR4NXDSkO1BvN4wDMC2LGyRVVXAbzgngDN01XVdsCaaVn9ikiuVysnJCdi1rutv3rzBbTKUjyxNHMf/8R//MRgM8vn89vb24eEhDgaA3YZxw74PTClIEI5Wvby8HA6HOzs7tm3PZhNkgXu93osXLyilKXoqiDSapnl0dIRppJlTTuGhqelx4ZLAw+qC2dq2LTiVWJwCbFpr9y0t+ZLIflGCN4SV0k9kOo3efPVogm8rzPP7v/3q7AVBgWQgdU3TjDhJ/yeprM4g7meaJpwTLT1tkKeFPHDkcEO5XJ5Op8hAywJN1G63223E35IkQYGwZVnN5vo0Q0KIIATBQxxVhQSrkjmSk6Qb3G3bPj4+7na7oDSWZcHZQxCcUpokCaiprpmZ6fo0JxJlj46Oms2mqqrlchktwD9U0oNRJfrI3B+w/OTkpFaryd0TGEKSbpJVFKVSqeBMeqRcEF8dDAZwbGCi4dkvl8ubm5sPHz5AoI+Pj9vtNoo/8F4lLZRMkgRHpmD3crFY3N3dRY4bVUIoaS8Wiwi0yiCKqq6Bu1AoIIoj0+uS7MhCGCkAcs5FugEJ+Rn6+f+9gVn9u+zM3yOyn0vt5lkc335kw2h8+6XfsDkkc0qbxNco/U+OZFRQWj+SgQBKqa7rOEcXoXDJCRHmRqwWta74F/4bTgWBK4x2isUiChoQL4ZzAuAE/VBUFVarWCw+Pj5OJhMwH5aWcsh4Fwg6tEsIUalUlLRuNU4PlOKZDZ5ySkjG9iZJomna9vY2wm54BP5eygs+nYqEkZJ0o28ul9vb29vZ2UF5izQ4oIIyuI8SO4TaSap4jLF6vY5QGByei4uLP//8s1Ao7O3tyUhanNlyB9fANE2wtePjYzjiYRjmcrmDg4N37969efNmuVz+r//1C6UUlBKTXyhYcRwrigoHGC4xT0+alYScpMFV6evytKicpeV5PD0PaENI8OEf4GYb0vx3moWvUSbyTGHIV5SHZJb/ay/N3pBVA5L5fz+BNxt3ynfx9FTfbPhFWnDpPsm8fqVSkVZInreWmnKB1Yoz/6efkh6cyTlPwkRRFBnYBXUUad5NZM7H4eklMkXvMvciMVJRFEY/7QAV6akx2fmh6Rl8+B1KKCTtSCcWXiji4zJpIzc1QTFkoQOakjFMuZ0bmwsopa1Wq1AoIC4C7yJJkl9//XV3d7dSqViWFaWnPsjIk6IoqAMEHmEaYcbb7bbjOL///vu7d++iKEASRgiBk33K5RJjLIpiuawiraNX0kNu+act/lSKh5woOSGMMSKYbIFlSgeEEP8P60bHQz5Y3lwAAAAASUVORK5CYII=" | \angle A C B = \angle A C _ { 1 } B = \angle B A C = |
"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" | \begin{array} { r } { \Delta I ( t ) \propto \sum _ { i } E _ { i } ~ E _ { i + 1 } ^ { * } } \end{array} |
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" | H _ { e f f } = { \frac { G _ { F } } { \sqrt 2 } } \sum _ { i = 1 } ^ { 6 } V _ { C K M } ^ { i } c _ { i } ( \mu ) O _ { i } , |
"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" | r _ { c } = r _ { c } ^ { \ast } / \lambda _ { z } ^ { \ast } |
"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" | K ^ { \cdot , \cdot } = C ^ { \cdot } \left ( { \mathfrak { g } } , \Lambda ^ { \cdot } { \mathfrak { g } } \otimes C ^ { \infin } ( M ) \right ) = \Lambda ^ { \cdot } { \mathfrak { g } } ^ { * } \otimes \Lambda ^ { \cdot } { \mathfrak { g } } \otimes C ^ { \infin } ( M ) . |
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| \begin{array} { r } { \sum _ { f \sim n b ( P ) } \left ( \boldsymbol { \Gamma _ { D } } \boldsymbol { \nabla _ { X } } \bar { p } \right ) _ { f } \cdot \boldsymbol { \mathcal { S } } _ { f } = \sum _ { f \sim n b ( P ) } \bigl [ \theta \bigl ( \boldsymbol { \Gamma _ { C M } } \boldsymbol { U _ { m } } + \boldsymbol { \Gamma _ { C 1 } } \boldsymbol { U _ { 1 } } \bigr ) \bigr ] _ { f } \cdot \boldsymbol { \mathcal { S } } _ { f } , } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAoElEQVR4nGP8z4AfMBGQHxAF7yuUK5D5LOgKwvbgN6ETTR5dwb3OUDQFaFakp+F3ZOf7DnQFKCbc69yNLo9qQnqaMV4FWCxAsQKbBSgmYLMAWQFWC5CswG4BAwMjLEW5vndhYGBgYDi7h8HFmIGhA0MBI6pGeEqEW1EOpaEmIClFA+UMDOXIfOonufdnGRjOvsflhplw17nAxRiHZM5CBwCWWVdFeQb8GwAAAABJRU5ErkJggg==" | ^ 4 |
"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" | \begin{array} { r } { \tilde { \mathcal { O } } ( \epsilon ^ { - 4 } \eta ^ { - 3 } \log \left ( \delta ^ { - 1 } \right ) ) } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsklEQVR4nO2SQRGDMBBFH50aiIVYiIW1gAWQgAUqASRgASTUApEQJGwPaQhQpr301u4lP5s3/28yKZT3dflw/ivAdbfzkwewYnNPc90FRMRAl5sboIMqqKo65jNghEZVVQNGzwCLRDFQboD1Fr2niWrCbgdPZIXTZwLjmYNHoriR1N4hjTibZHVwSLn1wWAFHAtAvVgs9K8RI7Q6iAtCO5c5Jb9DZ4Am6BCXVMX/V38JeADyUdrr5CTMwAAAAABJRU5ErkJggg==" | \alpha |
"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" | 6 ^ { 6 } \cdot 6 ^ { 2 } = ( 6 ^ { x } ) ^ { 4 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAArElEQVR4nO2TURWDMAxFLzszkEnAQi10EkACFmphSBgSaqFIoBJAApWQ/bawbv87e39JbvPSnLZRPuvypf4jwLUM0xgxTqpAuqeOKT2rwLStArE+QxwEkCKnuQiqi4QilQcLGgZxxZnCYjbE9jH3VYvOqaoGqh1iy0k5kLYWYDI1C4/xe+jwuUW+qGhNDzbYWgfrVIsdHPcg/lg9AKxvgCZ79rf9fEua/78A4AUNfegiUQR97QAAAABJRU5ErkJggg==" | \beta |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA4UlEQVR4nO2U4Q2DIBSEj6YLdAVXsCOwAit0BRwBRsAVHEFG0BHsCDLC9YcptYi2af80jffneI/clxdegiC+0+HL/A74P0BI7q45W4h3DfpEstVaDVPDwS2NHBVwGWMsTtDXRQCCNUZaAIDtS1+nBsBLdk2dmYAtSKfJDiQ5OErq8dlI0pHUKqYSgNaznswZSfJi4vH4yctfe5fdwrsKtn0UKSAAoXgBsOa0ClAe8HI7X6lZfgbwDaq+lJX3Zjtvz0IIH2sm6tp4XN/CTIstlNvzL5XnTsPkLJXYf+Ud8BOAGx1vSHSp3WrhAAAAAElFTkSuQmCC" | 1 0 \uparrow \uparrow \uparrow 2 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAX0lEQVR4nGP8z4AfMBGQH1WATcGeinuYKv4jgTSG3f/RAYoJoeS4gQWNP+ve2TRUg5Dt280QeuZ/OcM7nG5gYFAyZmBgOEuSGyhXgOJIYwalmTOVGIyRxRhHEy29FAAACQBcsoCDHQQAAAAASUVORK5CYII=" | \mathbf { h } |
"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" | y = \sigma \bigg ( \mathcal { F } ^ { - 1 } \big ( R \mathcal { F } ( x ) \big ) + W x \bigg ) |
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" | ( x + y ) ^ { 2 } - 9 ( x + y ) + \frac { 8 1 } { 4 } = 0 |
"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" | \begin{array} { r } { \dot { \mathbf { x } } ( t ) = \mathbf { f } ( \mathbf { x } , t ) , ~ ~ \mathbf { f } = [ f _ { 1 } , f _ { 2 } , f _ { 3 } ] ^ { \top } , ~ ~ \mathbf { x } = [ x _ { 1 } , x _ { 2 } , x _ { 3 } ] ^ { \top } \in U \subset \mathbb { R } ^ { 3 } , ~ ~ \mathbf { x } ( t = 0 ) = \mathbf { x } _ { 0 } . } \end{array} |
"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" | \begin{array} { r l } { E _ { y } ^ { \mathrm { t o t } } = } & { - 2 j E _ { \mathrm { i n } } \sin { \left ( k z \right ) } } \\ & { + \frac { \eta c } { \Lambda } \frac { p } { l _ { x } } \sum _ { m = - \infin } ^ { \infin } \beta _ { m } \sin { \left ( \beta _ { m } h \right ) } e ^ { - j k _ { t , m } y } e ^ { j \beta _ { m } z } } \\ { H _ { x } ^ { \mathrm { t o t } } = } & { - 2 \frac { E _ { \mathrm { i n } } } { \eta } \cos { \left ( k z \right ) } } \\ & { + \frac { k c } { \Lambda } \frac { p } { l _ { x } } \sum _ { m = - \infin } ^ { \infin } \sin { \left ( \beta _ { m } h \right ) } e ^ { - j k _ { t , m } y } e ^ { j \beta _ { m } z } } \end{array} |
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" | \begin{array} { r l } { \eta ( 0 , 0 ) \int } & { \chi _ { F _ { \delta } ^ { \prime } } ( x _ { 0 } , x _ { 1 } ) \chi _ { G _ { \delta } ^ { \prime \prime } } ( \gamma _ { t } ( x _ { 0 } , x _ { 1 } ) ) d x _ { 0 } d x _ { 1 } d t } \\ & { \approx \int \chi _ { F _ { \delta } ^ { \prime } } ( x ) \chi _ { G _ { \delta } ^ { \prime \prime } } ( \gamma _ { t } ( x ) ) \eta ( x , \gamma _ { t } ( x ) ) d x d t } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAe0lEQVR4nGP8z4AfMBGQH1WAVcFqZROG9yYmOBVUnL0nyBB2VglZjBE5Lt4LMpYzMKTdc0ESY0FWLXiWQfB9BwOKCSgKGO4xnF2F15FnGULRfcHwHxm4KP1HB2gmuGAYgKLg7Htj/Ar2MGAqQHGDiyCGE/4zjiZaeikAAMF+UnoN9t3cAAAAAElFTkSuQmCC" | r |
"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" | \mathcal { A } = m ^ { 1 / 2 } \cdot \mathcal { A } ^ { \prime } \cdot m ^ { 1 / 2 } = 0 . |
"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" | \ell \neq 0 |
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" | i \frac { \partial } { \partial z } a \! \left [ \nu \right ] = \left ( \beta + i \frac { \alpha } { 2 } \right ) a \! \left [ \nu \right ] + \frac { \omega \frac { \chi ^ { ( 2 ) } } { 2 } } { \sqrt { \epsilon _ { 0 } c ^ { 3 } n ^ { 3 } A } } \mathcal { F } \! \! \left [ a \! \left [ t \right ] ^ { 2 } \right ] \! \! \left [ \nu \right ] + \frac { \omega \frac { \chi ^ { ( 3 ) } } { 2 } } { \epsilon _ { 0 } c ^ { 2 } n ^ { 2 } A } \mathcal { F } \! \! \left [ a \! \left [ t \right ] ^ { 3 } \right ] \! \! \left [ \nu \right ] |
"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" | ( \Omega , X ) \in \mathcal A _ { \frac { 4 \pi } { 3 } , 2 , \varepsilon } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADO0lEQVR4nO2YyZmjMBCFX883CWhCwCEwIahD8IQghyCH4AkBQqBDkEOAEEQIEEL1gcVSIWGWQ3PgXdqWWuWfErVIH4Rj69dPA7zTCbhXJ+BenYB7dQLu1Qm4VyfgXv3+aQCmum6v3sChPPi8Xf63kg3SYWQlrnYyehzAUiALDB8GsBR4hMY/DtLyt5dWmtDEUYLk3iILThzEg/UF0qASyWTmIB78AtLbx9/Ln3vLZgIefCbT5wCAuqogU7EZgtutqjqR/dDnE4lO8Mzb1LBf4FFjJEwwyvoEqpptUcrtmgRKS8iSiIgEYImIDKD9dQzQSCAI+HouUW7D8+1mnZ3+DwGyG5cQM4BGyiQMaAXUwzwUAKQb8LjdDH1W1h3h6DgN+A7wARuyYUDZ+61MgWDCnwfkdq1A0n1qBCQ5HjT85yfvYBDQoug/lRhtrZNnV2EsGwooiGQUcFmayeXQA6UKqPxg/OSZ4V7hjb6AoWlJgRxIUY+TLIcs8qB8DT3YGiuQ+oGtgnHk2i0cGyWAhso+ikkPez+uWwTodEGGb7GCT8i/B+xqN9IAZESyjxLJ3/BlgI4KQPkjPlGEz7Mr3YdMAE3UCBgiMtz4ekA9nXeZYnyeXeE+ZE9rJZTWiZ6sWwt45S+JRxXl8+zCrRejO615mOnatYA2OD1wxflmAee65rXdTA7NTzUAMoXqs8Utx6TW79Y6D1oR8ZDqUmTMf9s9uPJcfEMR9lCGvKq2+i+wJ6PWbfG9MuFeEcgSIEbPteYpVgHmuUljc7cawD9e9cJK3XLZToqbpzWAX7cizpcjVYG6HJRnpZoHXBEkpYj3WV18zEUJIrXYgneAbN1iQJeP31CszIONeEEVCGT+LYAun4lW42WVhPWDwRuFZYCFHM5IpXiZMaydWl2LyY7tTCMgZo9hHLBxDVkMVb1JIQcJdipZ1M00/s6MLYfG2KwvA1QArsMXg76QN370ZmzFgn7Qs0tjV2vennD8Q9O1C/hEdasa0a/3+bw9WdJRc7tERA8hlFZI5v337narzdO5MtTlsTuvH/drNF26ej6B9/95kMujuA5yeRTXCbhXJ+BenYB7dQLu1Qm4VyfgXn0Ds7zx+HKuRcgAAAAASUVORK5CYII=" | 1 . 2 \times 1 0 ^ { 6 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAbklEQVR4nGP8z4AfMBGQH1WAXUHFagwV/1EAw6r/aABVwW6Gd+gKUK04qySI3w33XAg4co8SfgXv7xljKEBx5CoGdCeiOfIsphNQrTiLxQYWFDca72FgYJi1ClmMETnRMkKdhVMBNjAIE8zgVAAAEaxq/mR3d70AAAAASUVORK5CYII=" | L |
"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" | \bar { t } _ { \mathrm { ~ l ~ a ~ g ~ } } ^ { ( 1 ) } |
"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" | f ( S ) = a S ^ { 3 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAzklEQVR4nO2SXZHCMBRGTxkMxEIsZCWkErBQJAQJIKFIWAuthEYCSKASPh6SdNjQYXlmuC/JzT1zT/4a8To2/9Q/BNgCjCXzy3ob/APAePIOGOOu81QhSRro02gYJEnyeVTqELFJ8dvuL8QZ5piNjQD25/IkP3FyhwjRGhgWhbe5obrsWBTpmKMtWzKr93DFlXyukRq4mjR1CydJgSkbb3T6G6SdlTRwWQOcKw3MUWsAu1x3tSABE0GSbr3rn+pCkgfw1obaL0nN99u/B9wByGX6dLDwRnoAAAAASUVORK5CYII=" | D ^ { + } |
"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" | \alpha = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABLElEQVR4nM2V0bGDIBBFb96kgW2BFmiBFmzBFmghrwQtIZYgJUgJUIKUsPmImqCAOvlI7gcD7nLEnbt4YXymvw/3/wDgeizNeP+c2P48ILTGFMK8I1cDipZ0sY7vAEZN2jFzL3UmowwYpHQTieR4HjAQuXmukSZsAf0wz0aB5vUYqI8AnHglVlHJADoCqADgPr/zvXIAHG+1dqJdBrSAioM+YYM1QC1D6AC547GEkUYFelbuvgpmTLe2Mi1et/EBLEBIKN+NPt7hMx+UB4R4aTcl3QMgrnoHVOcAFAGMRy3OAUR0hH+QTqblARJANy86gyZ5gNKFQoCYGnCgt7aKVQA0wNTCN6I+l1W6D24ASGlFpNOXCTPzpfRnCm2wEKSSBphUBBzR9/9M3wc8AD/cjndCN8ciAAAAAElFTkSuQmCC" | \cdot \sigma |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAYklEQVR4nGP8z4AfMBGQH1VAGwWdnffClO+hqfiPAHeV/v9nKP///y6S2H9kBR1p/98pvfu/2wVZAbIV7wUZOgXfM7jgdEPavVkM72ehu/I/JsBpBbHhsBrFo4yjaXLQKAAAkXNmajbScYIAAAAASUVORK5CYII=" | \alpha _ { 1 } |
"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" | \mathrm { a 2 0 2 b 2 0 0 + a 2 2 0 b 2 0 0 + a 2 0 0 b 2 2 0 + a 2 0 0 b 2 0 2 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAmUlEQVR4nO3SQRHCMBAF0B8cFAm1EAtbC5UQC0ECSIgFLNRCK2ErYZHwOXBgKUm5cIO9ZOb/d9jZSSD25/Ch/01wCuG4AuvgMrrJEEFUlfmZeWC9klZyd2Ud6ESSTIUNwEr/Djb9FphM3APm968ATUqSLA2gYo83utBd8jbGywJgGROql5RspeslIjV2OJMsAPLLkuH/q78E7r7QStetcw9OAAAAAElFTkSuQmCC" | z |
"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" | K [ X _ { 1 } , \dots , X _ { n - 1 } ] , |
"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" | \frac { p _ { \pm } } { n _ { \pm } ^ { \Gamma _ { \pm } } } |
"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" | \leq \mu / x |
"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" | \underset { P \in L \big ( ( \varepsilon i + k ( 2 N + 1 ) , 0 ) \rarr ( j , 2 n ) \big ) } { \sum _ { k \in \mathbb Z , ~ ~ \varepsilon \in \{ - 1 , + 1 \} } } \varepsilon \cdot \omega ( P ) = \sum _ { P \in L \big ( 1 , 2 N ; ( i , 0 ) \rarr ( j , 2 n ) \big ) } \omega ( P ) - \sum _ { P \in L \big ( 1 , 2 N ; ( 2 N + 1 - i , 0 ) \rarr ( j , 2 n ) \big ) } \omega ( P ) . |
"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" | \begin{array} { r } { - S ^ { \mu \nu } F _ { \mu \nu } = \left ( \begin{array} { c c } { \left ( \overrightarrow { B } + i \overrightarrow { E } \right ) \cdot \overrightarrow { \sigma } } & { 0 } \\ { 0 } & { \left ( \overrightarrow { B } - i \overrightarrow { E } \right ) \cdot \overrightarrow { \sigma } } \end{array} \right ) } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABAUlEQVR4nO2U0W0DIQyGv1RdwBmBG4EV6AjXEa4j9EbIjRBGaEcII4QRjhHCCPThmshI5Ko2L60aSwhhm08/xrAp3GYPN+6/A/4doItNd1mz/awXzZR1BSmpxfD1EUIGyGMrMfgI+Ing/XWAAOQq4awFmSC6/GwHLasCvA+QwLS0RhccJBN7IevARj1nP8DTYZnJExCNnIG5m+Uzv5sV4LGSCWaZQHbA6NxFXi/JEBykSoEG5MyYMi9vjSMQ+ggEC8Fpv66BbDtrt91OWgAhWIg9RFsFdFMcT8u42OtBBUsp5VRKMUe9Z70T55ZPvtGJplWMqgTVNf7I/tR/cAf8XsAHH6/5ZERE1SIAAAAASUVORK5CYII=" | \omega + i \eta |
"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" | \hat { \lambda } ^ { \prime } = \frac { a \hat { \lambda } + b } { c \hat { \lambda } + d } ~ . |
"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" | { \frac { H ^ { 2 } } { H _ { 0 } ^ { 2 } } } = \Omega _ { 0 , R } a ^ { - 4 } + \Omega _ { 0 , M } a ^ { - 3 } + \Omega _ { 0 , k } a ^ { - 2 } + \Omega _ { 0 , \Lambda } . |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA+ElEQVR4nO2UQRGDMBBFfzo1EAtYiAUsYIFKAAkgASQUCUQCSEgkEAnbQ4FAyB46HNrpsCeGF/7+vyQRhHN1O/n9JfAfAnf/ODoASJmFC61dVbsq6kA9NFBznRY6phh3TWitCQORIaYWmhFl2/ebCFoqnSRbcWuxppqpy+FybgZKd83OttVeYKYyhdyPyZtJKzI0cRE4KvxxFoOCxTZD2wEA+jgNHJgCRVEo00zPSP+Z0hGL4EJxNfJIGx6HO1FKlQCWEzjiw1Z2GYCWtxDiUKAD0JZjyXiI4GBavSEiarifecThEIH3uVGSTbHHMYGP6vsXyiXwCwIvGOMtBnajIVUAAAAASUVORK5CYII=" | E _ { \gamma _ { \pm } } = E _ { \gamma _ { \pm } } ^ { \prime \prime } |
"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" | { \mathcal H } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAGYElEQVR4nO1a7XWsOAy92bMNuAWnBG8JTgmkBKcETQlMCVACU4IpAUpgSjAlaH/wMfbEHiBDwnnn5f5iEkvIQpKlCy+Mvxv/HG3A0fh1wNEGHI1fBxxtwNH4dcCT8vVbuYsdR2gH8LwDznW9ix1HaAcA/PukvJH5LnYcoR0A8PLbCf7luHPA6fXl5eW/j28vPTujbb8sGqbAqc9Qlz3QqDXCl7LXzyZp+5//S0qdye3a37PM+1VfrlepSKyTZQ9OMjN3GRSvQWFcBVq19AGstRLQ1lprLSmA3Gbt2t6uXSYK5k7JhpmLbkk0cICV6+1m7pTjCnqLSAIKqKbrAlBuq3ZjiIgsM7NTomFm7qCYWbgl0bAGXLccu2UmUENvkEigb3FTYwza8zbt5Wt56YH2HUD/1hYKAKRqL7hky3kQuGPT8yw6dsBijC2jgp9zBIgt2hsF1XSkDXXMTJii2ICC1EggdECGfLXZzMw5sk3r4yD4uU4AmvXaGzGkzAgx74Bgqul5dgXlCV+GDqgwJNBayFvuPgG/BDCbOSzXaHdychczM9vbL4KS46ZJVbbSJqogdADLwJ1LsBDMboNAFA6Ap0NOCbFKOwH+xuwtpwkohqt8KIUyeqTcOaAI9S3AgJhNsV4girAEWAB2vXY5rZ6lp0uaC5rIxj/EsiB0gMuBx2WgyLSumB01zCzQsZPPRkBYAtRswCrt92VcTsHUqckBdlRfIOZMX9wRTA48ODsrKSvudMEag4k7BEBYAswcuOu03ztg7J0cKSvArBxzPjrARtsqT7yRomHWSLdfxVAhnMwG7xYg/XQn6JeASkLPcbpKuwrqBzNXUhNpVTBXwmhiZlrpgEaIhpkLINUPFhCDdXPQOhtLqyzVc0SLegUIIiKiTEjy9cW1h7AAsbPWKwTN9GOUf+yAmRC5vvVWATCn/ho3v/0ADYOKmjo3Ee3U5nHmHtG/t8A4ebV9Fkwwce0hdHE6XyRE/15Nq+c5bpRfaAYnT+ipZmRhXb1BQYxXdJd4T8ErAWZjG8LMnEvS0BpZMlqmJ58/LIJ23jYlHOCdkGqXEWiAXwIcVs6hNxi17DI5WPv4GMzmzKdEB67nJ+Ue1MnNCLoAHbR1K2DW9G0FOmZ2Imr0VAMu8EpXLFf7GtOSGnvMgCP8SRA90G8RPpfNCtrD9G8k+7OJsivjOFx7tQNRNsgztN3TAcGdNzJb1zOtYq6okTWqOLt0o8UnVW18d56hS2N6mThGkH02N+ACLlis2eGNerNuodBJi28OmOK+RuocH1f0bTxGZtSXxD/UZ7kaUPOeWyTCL4GLSh246/HpxUgJHbVBzA5YLAHVhvsH6bSV270+v/+pBmiBMW4voOjCm5nlt5WA6/ijfV8pvYnC89C+vpym6/E0iPaLLtcya5wdxulxSjP4pi6AWY+qzTgPWqOlpvRBJyGWOa8YDOZmZ27pBjK1ER4dYEXWcaf10EFZKGZ2JtutC7DWZgAqa8c90tATNMMMvMxv5wD0Vzgpg3kTt56WYIh81mQkpavJWZXQRDKvUq3yVhS3kByfuNOA5UI2zOv4bQMA4QS1Co2EGcPYa+pdRZV3m04MHWFza/wtVW7fQeAeRaa16ZiZnZoaT4WKqwRPZYdqpIvNrEz32QF3MCMnW9yl/J6DwAOs5bebYYAUW3kZO7o0+Xa4L8daX4dH82IXsBNKTE2OQH9Jnzsqd4UG+o9U95VAPe0i6aFpJhJhyu9WAh4jzm+nCP6ONlfmiWxMRkALIQGg7UPv7zoIPIQ3IoxEDE7vQsuPj09LZa43xmWpp/4z/QiGVM/DlHfyZ0pAlN+OEvxD4VbLr0F9uDmmkg5wQjIzN8KLrW6YKZTe9gLtS4jw23GC30rqON/4ikrNy9OnQIGC2QZvnhyNb/E3E1fbEeG3EwS/y7U2Gy26LX9wpldKK2NnIvCn8ZnffkzwfxEPPpPLMgDlT5W8yO3bHjkAZLqVEhvJorVY+k6wjXPZP4J7fvtbkDoG2+Ej1f6ClaTLD2ALWbQaKQec6hpA/9YXx0XAPW6k3Y42pVJA1bJGW6JKvuf6eWg5UEb9nnUp+alsXQMizo4dhvKjk0D/Gie4v4Y/61vhc0myPz/9caaPP8sB6Nta7UAFe/jDHLA/fr8WP9qAo/HrgKMNOBq/DjjagKPx1zvgf+X0FA6UDxT1AAAAAElFTkSuQmCC" | \delta _ { g } q ^ { i } = R _ { \alpha _ { 0 } } ^ { i } \xi ^ { \alpha _ { 0 } } , |
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" | = ( - \frac { 4 } { 3 } ) \times ( + 9 ) \times ( - 2 ) |
"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" | \pi ( { \widehat { \theta } } ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA9ElEQVR4nN2T0XGEMAxEH5lrwCnBLZgSnBLSglugBSjBlMCVACVACVwJuITNBxyH75jcbyb6kUdaSbvSuBC/28eb/B8EpATQlF9AcQJoPxOQgnVwtVtQB/N29baXQljfGcCuwRlptPEFEAO4apGi09Izr9Gdw1Cab8a6LRM3P7XJmpxDR68aqaOWN1GVqbIRiwlS8JKoNC/SsmyVl01gqmDyMGGxgNm1HwQSpci9VDlJCwMOmvCozTaZYMLRmPr8Fm5quXnaa/fUYJdZGWdciHqxxyZHTtKHTZKwz93zc0/4NwB3lj8AhnPAZacQTidQ/Iuf9QMJm/w7IVLk3wAAAABJRU5ErkJggg==" | \phi ^ { u } |
"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" | C _ { \sigma \sigma } ( x ) = C _ { 0 } e ^ { - ( x / \ell ) ^ { 2 } } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA7UlEQVR4nM2TUXHEIBRFTzo18CxgIRZSCVjAApGwlZBICBKyEhYJiwSQQD82CdDZNtOZ/ej7Yi4HuPcBXeb3ejuZfwHwXoajpwfAo82hdsWkT1znRK97lCrrclMW1lb5o8mUwP9o0jungPARtHniIWpsfHiIBhN3fQduwqWYtMitBaKg6hQKiU2KMWFqa5o0Nilmti5uNYB7FrOJfAbQAAOEWg6gG8AeZz7Kgd2GW9xpbwBrznmF6Vuj8iKy7MAi6rjT8h7SpxMdZi64ZIwcp9V3f58GMNO91l79YPwVXGiJstlQRFvU7h98vVPgC+9ECtGAzGIQAAAAAElFTkSuQmCC" | \Phi |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAqElEQVR4nO2SwQ2CQBBFH8YGaGEtYVrYFrYFbMESoAQpAUpwSmBLYEuQEsbLogSixosn/mUmmZf5k58pjM86fJnvwK/A1Ch6YorvgEYjGuj7zQrLksGks+pmZuNoL83AHRsxc2Y2uHoBzBbRo4HWA1LKwuGYqwoq8TIAxNSo1CtAzij91QEqFaT1huBbuuwmkNwmqJKQu+QgyQZg8vO9AjzzKPan/RfwALb+XKOY4y8BAAAAAElFTkSuQmCC" | \psi _ { h } |
"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" | a = \left ( \frac { N ^ { 2 } } { ( N ^ { 2 } - 1 ) } \right ) ^ { \frac { 1 } { 3 } } > 0 |
"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" | \xi ( { | \textbf { r } | } ) = \langle \delta _ { A } ( \textbf { r } ^ { \prime } ) \delta _ { B } ( \textbf { r } ^ { \prime } + \textbf { r } ) \rangle ~ . |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAgElEQVR4nGP8z4AfMBGQH1WAS0GF0B5Ugf+oIM34LqoAA7r8u//4FHRgyP9nRI7N98od79+HGuN25Or3nfcYwtJxOzLN+N3//++UdiOLoZhwz0WQgUEwFMWfKAogtt8TxGnFXYZV///PFEQJCVRvrlISVFI6g9ub2MCgTA9DUgEA8f3A+Ogj5dEAAAAASUVORK5CYII=" | ^ 6 |
"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" | \begin{array} { r } { \begin{array} { l l l l l l l l } { P = \rho R T , } & { \rho e _ { o } = \frac { P } { \gamma - 1 } + \frac { 1 } { 2 } \rho u _ { i } u _ { i } , } & { \tau _ { i j } = \overbrace { \mu \cdot \left ( \partial _ { x _ { j } } u _ { i } + \partial _ { x _ { i } } u _ { j } \right ) } ^ { 2 S _ { i j } } - \frac { 2 } { 3 } \mu ~ \delta _ { i j } \cdot \partial _ { x _ { k } } u _ { k } , } \\ { \gamma = c _ { p } / c _ { v } , } & { R = c _ { p } - c _ { v } , } & { q _ { i } = \kappa \cdot \partial _ { x _ { i } } T } \end{array} } \end{array} |
"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" | \Lambda _ { e f f } = \frac { \kappa } { 1 + \kappa \xi \Phi ^ { 2 } } \left ( \frac { 1 } { \kappa } \Lambda - \frac { 1 } { 2 } \mu ^ { 2 } \Phi ^ { 2 } + \frac { 1 } { 4 } \lambda \Phi ^ { 4 } \right ) = \kappa _ { e f f } V _ { e f f } . |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAV0lEQVR4nGP8z4AfMBGQH1WAS0EYAQX33uNXsDpMcA9eBffOKuE3QYnBxQWvgrMMaPIYCowZ8Cu4h+4EkhUwGDOgBQQjappUZgi9twqfAkwwKNPDkFQAAEVrENZecq3GAAAAAElFTkSuQmCC" | t |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkklEQVR4nO2SwRGCQAxFH44VaAtLC2wLUAO0sBYjLWgLri3slmB6oIXvCVBx9OLBA++USd5MfmZSiM9svsxX4feC95F0hM4bDWkpBN/QR6hDSYkthf2AVVfIHUB+k8HoD3UCSPEUp/Z2LBzm8GdrIRrdnFIjVZBuLkgKemBekR2UA0D7dOek7iSpveiFYv3JvxHuNThXtJRSY8wAAAAASUVORK5CYII=" | W ^ { \mu } |
"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" | c _ { k } = \frac { 2 ^ { n - 1 } } { n ^ { 2 } } \frac { n ! } { [ H _ { n - 1 } ( x _ { k } ) ] ^ { 2 } } \sqrt { \pi } . |
"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" | E _ { \mathrm { r e l } } = E _ { \mathrm { k i n } } + E _ { \mathrm { i n t } } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAxElEQVR4nO2UwRGDIBRE10waoAVbICVgCVhCUoKUEFuwBUuIJUgJsQR/CeSE+g1gZrzkwD+xO+zDHRkKh3NzOZnPgAyIAzqTSHTVMaBP5O0OHgRYGc1PRuwc9z0j5oDrp1FMXjmOWgtZlvtTEsMBVOEuulZ7ve37jBDY9yjtnHOi8Tq0MVVhsG8AAylvzMddOEALgB5YAPX6O+zrB4CVAFW0SSG0jANkr8lAr8YcSBCX7CI15a1W45AuPnFZ5Fc5A/4C8AG7sZQgOjHZPQAAAABJRU5ErkJggg==" | d = 1 |
"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" | \Psi = \Psi _ { p } + \Psi _ { a } |
"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" | 4 + 2 9 = 3 3 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAe0lEQVR4nN2RURHAIAxDyxxgAQsgYVrQMAloqYZJoBKYle6Xhju47ZP8Ed6lKTiluY7F/aaApJTEOGpUAmvxvQMAN1WtveO+P7W75sBDpzUUxOAMCQIBIxDBwBHE8xFCkDAAISwArIDAjYApmbVSw9LmEH3GrX581pbAC2jKwLI2mmPBAAAAAElFTkSuQmCC" | \hat { J } |
"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" | \mathbf { \hat { R } } _ { \omega } ( \Gamma ) = Z ( \Gamma , X , \Gamma ) ^ { - 1 } \mathbf { R } |
"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" | \begin{array} { r } { \mathcal { H } = \sum _ { i = 1 } ^ { N } \Lambda ( \cos X _ { i } + \cos P _ { i } ) ^ { 2 } + \sum _ { i < j } ^ { N } U ( R _ { i j } ) . } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3klEQVR4nN2T0Y0DIQxEZ09pgBa4ErgSfCXQQlqghbSQLYGUACUcJZAS2BImP94IVij5jW6+wH6ybA8sxGt9vcl/BHDqL/dSjBNkmVdYv3+LuLws21CCquoQSJIRjZ12oBpc9Og4AxxkD8UZcAUSp1LAw87z1CkyBHMpsMEM4XI/AGMat58jIMgDYeQAnFGK7nMFULqOtNkAk0jWcCVJF87yNy6K0cKKk0SSDaF5fwDImpK6EE1j0kxnt7XPIb15ej59MNkB2Y9N9mqojLunp0mBzZZ1S3pZ/sXHeQs8AMgtGLBYE2NHAAAAAElFTkSuQmCC" | C _ { b } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA8klEQVR4nIWTa3XDMAyFv+2EgClkEExBgdBCKIViGIQFQg0hgVBDWCgYwt2Ppnksqqtfks/nK+thqNhVUmNAyQDE8DifQ5gAJGl4xIOe9vtjACbJByTdAgRJn6/yn25QgJcAdoFcA7hAqQIxMLpA7ro5CUBzBMo4Oy3ZBZ5twnJ0gWkBDO8Nqd+FW4UMjFP6d2HT6v3hbFuFGNZBugqDJN3jXuHwyDi0u/hYRTit/rnz+hBXN7mzCIs34nYyLlVnzAOCrUBb2wdKIlSBb7AaMPVUU5RzqQL9VwaDZmTZoXVQeUoFoPWubu1a+VkAGHzojcgffbeCor+/29gAAAAASUVORK5CYII=" | \textbf { E } |
"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" | | \alpha _ { | s \rangle , | s ^ { \prime } \rangle } | ^ { 2 } = | \sum _ { p } \alpha _ { | s \rangle , | s ^ { \prime } \rangle , p } | ^ { 2 } |
"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" | \frac { 3 } { 1 0 } x = \frac { 1 } { 2 } \times \frac { 1 } { 3 } |
"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" | X = \sum _ { i = 1 } ^ { 8 } A ^ { i } ( a , \nu ) X _ { i } + \alpha ( t , x , a , { \nu } ) e ^ { - a u / \nu } ~ \partial _ { u } ~ , |
"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" | \operatorname* { P r } ( Y = 1 ) = q ^ { 1 } ~ p ~ = 0 . 4 ^ { 1 } \times 0 . 6 = 0 . 4 \times 0 . 6 = 0 . 2 4 . |
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" | \begin{array} { c } { \alpha _ { n m } = \left \{ \begin{array} { c c } { \bar { C } _ { n m } , } & { n - m = \mathrm { e v e n } , } \\ { - \bar { S } _ { n m } , } & { n - m = \mathrm { o d d } , } \end{array} \right . } \\ { \beta _ { n m } = \left \{ \begin{array} { c c } { \bar { S } _ { n m } , } & { n - m = \mathrm { e v e n } , } \\ { \bar { C } _ { n m } , } & { n - m = \mathrm { o d d } , } \end{array} \right . } \end{array} |
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Y+ReAy897ZfbT/AHO7zisUHPXTfe2SsH0/+VeUV0c0G+irxDoKP4WgeWOPb//AYgld2mG0Nx1yZ0xYSz/X/Ad8dsjE3/7hl5HdhuZUfwtAX/tXsu1eN0rf00Ud5WLLlMKYfv/ggGI4sRlE05SoUzqKBIxirL8YTt6FsFxFt+ruLvrm15lBZf/m0fTP0XWejc0jCz7KvbfTP6fWY4teU5BjMldXRuoX4Pt/8sNwhDE8yTOwizLV4PsHE/2EhatAQnieSTQpb8icQnKrfPc4rdANSDxk/iuwfK+/z1eueQgDEE8y34L2bFFXt3zGVANSPwspHhv+3NlKAAJYkWoCUoQK0IBSBArQgFIECtCAUgQK0IBSBArQgFIECtCAUgQK0IBSBArQgFIECtCAUgQK0IBSBArQgFIECtCAUgQK0IBSBArQgFIECvy/ze4zYhghbK6AAAAAElFTkSuQmCC" | \begin{array} { r } { d L ( \tau ) = D L ^ { \beta - 1 } d \tau + \sqrt { D ~ L ^ { \beta } } ~ d W _ { \tau } \qquad ( \beta < 2 ) } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA90lEQVR4nO2UQXHDMBREV50QcCE4ED4FF4IphIIKQYXgQFAhqBAUCCoEBcL2oDjVV+RTLp2O9+LVjv3m77fHhnhOL08+vwP+JeD6Zowx71VyfjXmeGltJdbKIoHZwd4TD8c8j42tpAEWsVzSmpwsyYCo7SZAZpJkwKJij9yxPcA6e9WBZBLbsTc1Sxw6ezbHyT3aVQd9lA7AXj/gHmz/LazddQX63534Zj1thW8AwAWjSufps2OLNGAsgC9MnSobUvOU7yCPkx4zD7Zjb231nTIsYRFEki6SpFtC8jIkbTcBzCcAEkjGskgLAHNqbCWz/5V3wJ8A/ADQ78kOq6BIJwAAAABJRU5ErkJggg==" | 0 . 3 3 |
"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" | \vec { r } = \vec { r } _ { r f } - \vec { r } _ { v f } |
"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" | K \approx \sqrt { N } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABA0lEQVR4nN2VXRGDMBCEl04NnIVawEIsUAkgIUgoEqgFJCQWkFAkEAnpSx/yswxk6ExnmsdN7tu7Szgqj3PrcjIeVy67O1A/EnEeXKYBnq4GgIqlVeea955nME2ZZLuFJ8v8V0HitrZATTOggBa3+LARiPaHAQYw8WEN9fIcQK7RdWhVLMnD3HgHWA80ZKVuBzOwA0bZsstXDujRNMfjc0A/S/7aCgDzAL3ZryOADkqXxKeAYcZYFJ8AltICUkDHvtcCwNOWFhADXA9dlwLCedA7qW3AswBklxg8a0W2w8ePvYkUmtmP+X5JZB5sudEMTo/1PwCQJhqyHd2w/moTq5//nd9fPbFijDnO7QAAAABJRU5ErkJggg==" | 4 1 |
"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" | \omega _ { \mathrm { f , s l } } ^ { 2 } = { \frac { k ^ { 2 } \left ( v _ { \mathrm { s } } ^ { 2 } + v _ { \mathrm { A } } ^ { 2 } \right ) } { 2 } } \left ( 1 \pm { \sqrt { 1 - { \frac { 4 k _ { \parallel } ^ { 2 } v _ { \mathrm { s } } ^ { 2 } v _ { \mathrm { A } } ^ { 2 } } { k ^ { 2 } \left ( v _ { \mathrm { s } } ^ { 2 } + v _ { \mathrm { A } } ^ { 2 } \right ) ^ { 2 } } } } } \right ) . |
"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" | i ( 0 ) |
"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" | \Delta ^ { o p } \left ( \lambda _ { 0 } , \Delta \lambda , \sigma \right ) = \frac { 1 } { 2 } \left | P _ { + } - P _ { - } \right | |
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" | N = 6 0 \times 3 - 1 = 1 7 9 |
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" | \begin{array} { r l } { S ( t ) e ^ { - \tilde { r } _ { \alpha } ( 0 ) t } } & { = \int _ { 0 } ^ { 1 } { n ^ { 0 } ( Y ( t , x ) ) e ^ { \int _ { Y ( t , x ) } ^ { x } { \frac { \tilde { r } ( s ) - \tilde { r } _ { \alpha } ( 0 ) } { f ( s ) } d s } } d x } } \\ & { = \int _ { 0 } ^ { 1 } { \frac { n ^ { 0 } ( Y ( t , x ) ) } { Y ( t , x ) ^ { \alpha } } Y ( t , x ) ^ { \alpha } e ^ { \int _ { Y ( t , x ) } ^ { x } { \frac { \tilde { r } ( s ) - \tilde { r } _ { \alpha } ( 0 ) } { f ( s ) } d s } } d x } . } \end{array} |
"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" | \phi ( x , T ) = \psi ( x , T ) = 0 |
"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" | \alpha > \gamma > \beta |
"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" | \Pi _ { \mu \nu } ^ { W } = F _ { W 1 } ( p ^ { 2 } ) ( p _ { \mu } p _ { \nu } - p ^ { 2 } g _ { \mu \nu } ) + 2 F _ { W 2 } ( p ^ { 2 } ) p _ { \mu } p _ { \nu } + \Delta m _ { W } ^ { 2 } g _ { \mu \nu } , |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABgCAAAAACvJf31AAAPmElEQVR4nO1dO7LjuBU9/UqhE5R3ANekTjhLQFc5n9KLHFOBF0AugVyCmDoTl0AsQViBR1iCsAFXwQHADz4kQX26n9o6wbxqCbzn4gICSRwezjeNN14ZHz87gTfuw3sAXxzvAXxxvAfwxfEewBfHewBfHO8BfHG8B/DF8R7AF8d7AF8cNw6gemwWvyR+TI0SB7A5lBwAICQAVZt/SAVuG4iVAGX5uZlnEn41/nYkZnQDbq3RbdBJKArz91porfX+qrXW+pKfTsw26I5rIdhaA59nGj4h/gZcz+kZ3RD99hrdgI1LaFkAaEh9UAAoyJ6gbSUApuQjp1VZ9OGfEL8t29+fuL79qBoZbBtATgkASStaA4BkLaszVgJAXpomTcvLti9PwyUgGt5szMrysJbBj+/AIfMxu2KRY5VtWc5iLEIpQKgIyb01UuXvG3LbOIBNDgCgyBQAmUEwSQkAgBAzvfJGVvK7bZ9/B5DJNt/EYnlkBsHgx8ffJjVzyByo8jM24gAABqhsQzYRlroVLaQo6/A3dWeN1KHqNuS2bQCVIgCQc8ELALSCoKSfSayfQhmKvsaKUNOZFXi1Njy0gqAI4ndO7SdkLoqlSdMUZC0lBz6LJIzvQXOV7+0nQw/urRGn2JTbBwDZ1DVfbQlAmNrRo6oMn8zAGm46wWxGPENdAKo9tPYAMSl5nMsbg/4AmSGIXzYAFwDEd+WSOSDxKpSf4ECbrWbktLcsBqo9tE0mQYbBcnpwb434xovVHaDKE75VLKHxELpvrHKwzM4Y2xeZtTwroOpKSpuWHMuVxjVMzhx+fEmAhjAAWSaYQ5aAMv+ERFNTZNVMRnZlq7KxvWWx7etKSsn3n5zVZF/m/upyZ42kyLctDjtAUIAWgPKOtKvCJEWzEogSADr7d9JdkwHNygJoCVcFFAWcwDGuEpBlhKccajFUG6Ayl/wEzitI5pLFMnY/VKCkyZFPV1c/o+kJyLa3LAAEJS3hqiDAGRh+lNMe3FkjqnKEQ7GAHUCEak6QvL64X9kpFMSi//oP8Jvpdv/R+C2nND904FnGAMEA8Ml6FeNiAGcRnv3ws5h+JbKaApxBZR7ZTMaTD1uKzKeZ6z3G9pYFqmZl0XN5FF4Pbq8RxUwyM9gBWVUXBDT3ziIIFzpzMiZ/+ZPgD4BEV0LFUPC6UDmx00g1kwGMcbEglOGJXigKqhSgmgJtHpBFE5p8KPZCKW92+xlNl1Db3rKgYUw1Y8fiPbi9RpJCZDyDTUaolLMadgBks0+7qs7MyZ70vw1JCB9YzElIcMJI9Z1mB8oY9oc9CJVynH1JXJbHCW/jKyXz3xXLD1lOPDIXopbt3vtMNcX+AO/y1MuoC9pnlmWvAKJiXJHct9cIn2fZHMfrhUOFJGhddR096+WdJbPFdTVNupzRi7dNpPWpcI6wO0ndtf+AaT3LNewxTXnc8JP4V631JUK2iqvbdCmjWPui010xwzX04PYa5bo46fxqM7vsk7qkP9AQxqr+/oRDLFzIErM+sGNXNBi3ieyh7sw2awNlznITcFl4PwrDM2yl+fEJ/FvLxHM+CZs6Ga21V8DcXdqY3M01klLsx9uf9rjWG4MPUK6UygEuWyV5KyVvZy/J87rvBwXMNpEiZhjs/egyfK5lHslahk3xt2Oa0VrbnHPur8qRVrfWSIqsNle7XLYqdathB0YFcgDsAhDGKzA+u/oyrgjQUKh+r2u4a6lTtssCriUemUHk2BR/O6YZrYEeRcJ56eYaXZpcmovklGQGuCv5eX85nveXYKUdZJ5ca63P0xNbV2it9fG0tlj7J5kEHs10evzteJacdFuNTteb1KZvaeYWzmGuvZRz3ymbCrUsqLtdFkMJpFxVuTyyqZAYfzsSM7oBtkYWqTVqSXCPmoLEAbRoBGEMUA015wIRW9RLyNMNmUQQDf9qSOiEIHQo6taZum0ASzNpP4/Lc+V7iiAiZbgtcg+UzAAO8vCf6tOh6gpDUbncdrK/5aGmXm2+D81jHxHpZfZZFfDrwpHwt8r2uxsIJS3qugIaQnjW3+g1lFIIQdMnULCn6MQLsLK2kCMOgjHUqfQJrIKCCEpmmZOXu8We9RK+KSrywyk4xC+uqvnZHn3TY4VWbX6E+J6mry8K7AZbZfYE1roVbVx1B8rFlEqzQA2dW+iZL+H3sn2qan/LAPZq8yPE90R9fVlgN9gqs8+yyrIsy9LI7lPVfYJ6v5iSuZmfdi7o2ZyEP8r2aar9B4C2BGqZLswPavOi+D4TzutGg4nAPquvzwjsNvGtMvvIHtfbaVVVVQUju/vqhWmlssWUKKTtnKFwOQAsSfhWtk9U7XeAgAAUTRfme4lmUXxPCicJJgI73aiv28S3yuwD5vT2Pjm+/+QiprqjnT0rmpSwbypI0lO4HMEhFoMgZdgTVfsdkKkMgvXStJJecqHMXdp/L4rv0XC++E5ljlFg566+viqwm8QXZPaBvItFIL7ersjIDeAEnCdq4jQb6UzMICUgKwEqc5tbz6EEzK1TKOEPRe2xptr3fdsBEIDIrTTdcnLonMVhTphfEd+j4QLpWmRoB4Hd09dXBXaTeDMrs4d9cSJ4ervk9QUxvX21DkFKQ+f63CyHaAkoidUhxIpqP/RtB0BlLeulaXM1HklvgsJOpEXxPRrOF98FVWQU2P14awK7SXxeZh/JnSW0j+Dp7TRvgZjeHiGmau4bU0uIDBBU9blZjkHlDSX8oahDoHhxJYVQWX/XJBTbAZCyoLDSdMrVuJ1IK+J7SjilZDYI7Ev6elRgN4nPy+wjeXRnyNPbAQBrervFvt4vpQTzvIeSNre+Z6StZeefUK2EP/w6jWw/U1z5eZZNlvV3TYcK0L0w3EvTx/P81rcRC86d+2lUfJ8LN4rvfZRAYE/U123DJZl9qS/+gebQRO6qm/nC1qIY/+VGPPaavC/hj0V1ZXuvuLkuTka1P571Za/1ICcdj1qfcq1PZ611p8+602HvzQD2jwvMgkXChbHmanAfmPbItx2aimJxpIv4x9eoQ8n4mMai5ku1ZRdmop/OWldXrYetNNrsoXJzNZ5zBcJV/LkwgDE0zYoU44f7oVvMU/J0yYjLdnYfL8By2Jlve5XXRV5XmBR1Tbb/r9k6Hfo2jO2lG38SXdGLkN7MKuYn0nSaRMKFsaouea1MRteZ56G65/y878U52uPCrrSmqMXi4qaP/3ZjjJvZdBz4JpOSZ9OnARMmkgcvXBgqf4JZDnby09UdvZ+D+DpUlMexqE22lHvL8E/3k216oBHMVW+XiuN5UvevCqUoIExR12R7/xo5aQCtEO8ox84Tqyu6SpJG75BsCL4JZv/icc8MfAGkLN32UaNZ8/e6+zvhAm9K8ix7/Ckvsv7J2V8EW+SkiPn78e7vsgAcZ/kjg281V8chlIq7q38GPoBUW3bE/O072NcM8utE3O5GTJzlUXv8ojt+trb+xtB6PhGeJZ33x+MDybbsiPnbd7CvaPQJRIbEcZYP1vJHqPeO6jufz4KWvqTz/gR8INWWHTN/hw72RY0+RuTW2pK4zvI++APUe0f1Xej4gpa+oPP+DHwg1ZYdM38H7u9lg3yMyP1kaD11ltvg96n3KD/Bm7L8Ppkxsx2f09JVe2glZ5zX7b78Gkvozgq86xMqZv4OHOyLBvkEooFk6iw3f+5T74027qi+bj5TxSmmpQtKDJun8/5s7ACqctkEpt5ADrcL2jcA6Jj5CwAoxtv2ZYN8SBTY46cksEz90Xep9702PoWTz/RkGNHSa1YWdKrXfxXsANCIv3pWgL5a4TG6AbBskA+J5pTpaPC71PuYPT7ecUPlaekNY6qpFvT6n4adV+MBQab2mmIQHl0DtMGyQT4kCuzx/YVLJPh96n1Mt3fycbzxgZauAKJCvT7Rx/5M7Jyz1BI887esGRrPwb6m0ae74yPB71PvY7q9k4/jjQ+0dAAgoV6f6mN/JrSxZS/uLRWFDszfOu/0XuuT9bwtysg2fJTItcdbEhO8j71kj09VpGK6/VLHfXv8SXfHgC3Vx/5MfJjLbi5bZa6qZy+tPfO3a4D23N9Rg7xHZOG5xu0aOjUmL9rjU+/GIvb4MZ/19tZd7UVI9bE/E7taFTCmXskVMjmvnhvlWBFTQdcAneBg94hmWhkSx5j8JHv8mE8C4u7qr3BFusuGizPKeGX+E4dr/jY7MT0SHOwe0SLJ5uA3INvmTvyqtsOPcZlriJTmPzMoSgAFZbaeMgMglMSajGzgES2SmOAmdlLwG5D+/MuXRpKg2zvXXYP8xDu8KugmaPQuSXrwG/ArPTOw4ZEK3yAfxc8QuwM7x/8TNgzgwwzyD3bHt5zwjrymPf5+bDZ4PsAg/2B3/CCzP8AeP/8u86+KqUd+4ryeR6pBfilYuKO4aCJfOQlamb23xyf0YpatVkzmUjSUzlA+xhX/UIz39Nf98r6GeeqoOOku11prdtRV1n+Hi9a6MJ+vBrMP1dPpg+9OtCmuxX71CaTj5H/ksUA8Evpsl6IoikJfjl1x1cNzW17Wy6mYZ+3nKZ6FyRKaJswnGuQjwfwV7hGvnwfgyewLvZiX2R1TdVxtX3HFW1v8kiv+OZh45NOE+TSDfCyY98Fdr5+3KUdk9vlezMjsE0rJGeeIqu1rrnhQyBVX/HMweuST35eeYJBPePn6Xa+f763ooczuEq/J7HBd8Sf3XeZTrLrisW+qRFf8QzF65KnKkwzyAsA+Xxff3WCB9n7X6+dtyhGZ3fGPr8jsgSvewyZXPLIySrHlDfS3YPTIgyYZ5P/xV+C3vyeI726wUHu/5/XzNuWYzD71j7sIZPYf4Ipf2fZ4AEaPPM+SDPL//ZPgD5ogvrvBAu39rtfP25QjMjsf/OPAmsz+UFc8RBahwOFI8FTlfvTIyzSDvFXk18X3dXv87a+ftylHZHY5+MeBNZl9DzzOFY82j1AoUquKPFW5173OnF91ikHe91cviO9esAR3/CaBPSqzD/7xuaOe5IrvbfG+kl/pqniqcv+BfpEnxN5RLb+5flDkLebF9yGYRXgTFejrmwT2qMxOCPznr92jAoZEyoLPbCD2m1FVlIIiU09V7vuttFoVSDLI94r8EtxgP3CL2ajsyd74B7riZ77Oa8qLpyr3vRrBx8s5zivwiGZu1Ih6zV/9vfODBYHIRjU8CRx1x58Q904Ej14+GP0vcKRZMcgXYtFfHQkWBHqSOx7VF3rifcCzU9qgBw5vlF/CryR2vwS2veTgjS+Hm165/MbXwXsAXxzvAXxxvAfwxfEewBfHewBfHO8BfHG8B/DF8R7AF8d7AF8c7wF8cfwP1yWqUxuOW+cAAAAASUVORK5CYII=" | \begin{array} { r l } & { g _ { 1 _ { x x } } - \left [ \left ( \frac { 6 } { 5 } \frac { \eta _ { 0 } } { \eta _ { 1 } } \right ) R e U \right ] g _ { 1 _ { x } } + \left [ \left ( \frac { \eta _ { 0 } } { \eta _ { 1 } } \right ) i \omega R e - 1 - \alpha ^ { 2 } \right ] g _ { 1 } = \alpha R _ { 0 } e ^ { \alpha x } + \left ( \frac { 6 } { 5 } \frac { \eta _ { 0 } } { \eta _ { 1 } } \right ) R e U _ { y } f _ { 1 } , } \\ & { \nu g _ { 2 _ { x x } } - \left [ \frac { 6 } { 5 } R e U \right ] g _ { 2 _ { x } } + \left [ i \omega R e - 1 - \nu \alpha ^ { 2 } \right ] g _ { 2 } = - \alpha R _ { 1 } e ^ { - \alpha x } - ( 1 - \nu ) i \alpha R _ { 5 } + \left ( \frac { 6 } { 5 } \right ) R e U _ { y } f _ { 2 } , } \\ & { f _ { 1 _ { x x } } - \left [ \left ( \frac { 6 } { 5 } \frac { \eta _ { 0 } } { \eta _ { 1 } } \right ) R e U \right ] f _ { 1 _ { x } } + \left [ \left ( \frac { \eta _ { 0 } } { \eta _ { 1 } } \right ) i \omega R e - 1 - \alpha ^ { 2 } \right ] f _ { 1 } = i \alpha R _ { 0 } e ^ { \alpha x } , } \\ & { \nu f _ { 2 _ { x x } } - \left [ \frac { 6 } { 5 } R e U \right ] f _ { 2 _ { x } } + \left [ i \omega R e - 1 - \nu \alpha ^ { 2 } \right ] f _ { 2 } = i \alpha R _ { 1 } e ^ { - \alpha x } - ( 1 - \nu ) i \alpha R _ { 6 } , } \end{array} |
"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" | \int d z d \overline { z } \frac { \overline { \partial } Z } { \partial Z } \partial ^ { 2 } \ln \partial Z = \int d z d \overline { z } T r ( \partial g g ^ { - 1 } \overline { \partial } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtUlEQVR4nO2S0Q3CMAxEr4gJwgqFEdIVAiuEFQIjhBXSFdIZAiMURqAdwWKF46cNUpGATz7qL+v8dD5LLojPtfgyn4FfgWXu6h5ujQNqADhdz6POobyTqO9ESZIJdtQzEI2QlNJGUpQNo54z7KtNA9wqfQF2TbfFdEUwyTg6L4rOvYxzlzQpJU1L4zVb/QbYSIomyKCE3mUgn/kAjttOA7ZaoTeYZmiVLh3DcJ1K2aGYf/JvgCdEhq0hrUqG4gAAAABJRU5ErkJggg==" | \delta { M } |
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