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"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAAC20lEQVR4nLWWXZXcMAyFv+0pAVEwBVMwhaGQQvBCmIWQQphCyEDIQkggeCCoD/6TJ5k97cPqKZFlX1u6uvab8r32c/zd7/snnhBG95/PHUfwYnyP33fEXfwwfWeIAdBu6dqi5dbd29SCY2reGfzkINoFHEGfzABEQOJtWSYwE2cBH5flNgFuLd4bzKo6DQgRVn0yAxBA8vgqwJa9SwebASnBUvbqmkd1G89zBlATM/dVHf3YkRoy5wOoxvqhqgHpKaz2w9bDXcpHAD5zeXeoXi7AHfJg48FemXAnPld4KPK69AQCvm16ObpDnbi0AyZXxkYzNPUjsjtuptv96PrYuZ5E/jjx5fn+dOQZV2ou9w+mcBJ/DvAH5NLW+6zu/Yjrq+cXEk/XOkmb3mjc2IBL9c9UnvSJpQa3M4qqDjRtNgvSuDfR2JukNoo6U+SYK+xO1z8CpNlD2Pq/p0jE4vCVZ6H2bOnoaLn2BcAaPDwdNmVyOzEdp1e4quaVk+qWx1J04MdUjQBLrYxRNU29eO0Em+SUJGHKB9pUk8fFCMH28zFFS3RYOZ0FiZvqFqXXXmeISdOEpPyjqgGXf6avAMqarZxz/1wBko3JZ0qCS6pLgfeDJJ0C6JWqCZstyZWaelVNc4xxVW2CNxUFtvr3CkCl7jViND41XGtrqb4U6saBJS8AGvvD0IvurDMLZbd6WdxMaz7JdTcBHua72JkA/r4TfdYRX+MfffgFgF3tROONPd6LCL0IMwDv703VeFD2I7B39/0osh+Pcs28UF+TUpu61rbm8hxE0FS4lr1OWV4V2cw295in0Sj5I4lCFyGK3n0FkFmeosFahaKtiwf3dKvbtvWF2ddB+MZXBRBCAFx/eK0uuz1weVo/CdKEtzbYZF4yYx9s1xgECJN516nqGj2Amw6KPPTUlt9Kmwxq/KLR/s0WhmtmhrjcPP5LNf0fiyEMh5oFkPE+ePvu5/tfh5hm3kV+LVEAAAAASUVORK5CYII="
3 8 \%
"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"
u _ { \mathrm { L E S } } ^ { + } - \bar { u } _ { \mathrm { L L } } = 0
"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"
D _ { \chi } ( k _ { 0 } , t ) \sim { \frac { ( k _ { \mathrm { B } } T _ { 0 } ) ^ { 2 } } { \mu ^ { 3 } } } \omega _ { 0 } ~ \exp [ 2 \omega _ { 0 } t ] ,
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W _ { 0 } ( 1 ) = 0 . 0 8 6 1 5 , W _ { 1 } ( 1 ) = 0 . 2 5 8 4 7 , W _ { 2 } ( 1 ) = 0 . 0 8 6 1 5 , W _ { 3 } ( 1 ) = - 0 . 2 0 1 0 3 .
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t
"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"
\phi ^ { n + 1 }
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\begin{array} { r l r } { \hat { p } _ { x } } & { = } & { - \frac { \hbar m } { r } \sin \phi \left ( \hat { n } _ { \mathrm { H } } + \hat { n } _ { \mathrm { V } } + 1 \right ) } \\ & { } & { + \frac { \hbar } { 2 i } \sin \phi \partial _ { r } | u | ^ { 2 } \left ( \hat { a } _ { \mathrm { H } } ^ { \dag } \hat { a } _ { \mathrm { V } } - \hat { a } _ { \mathrm { V } } ^ { \dag } \hat { a } _ { \mathrm { H } } \right ) . } \end{array}
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"
4 5 \times 4 5
"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"
0 . 7
"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"
D \left ( \Lambda _ { 2 } , D ( \Lambda _ { 1 } , u ) u \right ) D ( \Lambda _ { 1 } , u ) = D ( \Lambda _ { 2 } \Lambda _ { 1 } , u ) .
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"
7 6 6 - 2 2 2 = 5 4 4
"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"
S \sim T ^ { p } , ~ ~ M - M _ { \mathrm { e x t } } \sim T ^ { p + 1 } ,
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABGklEQVR4nN2VwY3DIBBFX6I0QAtsCWwJtOAtgZRgl5AWQglJCbiEdQlxCaGEvwcnjhTFUsCHXe2cRqB5fIYvZiPWxXZl/f8BnL82fSVgBznGcY2C/Ufn2noAMuGiBEl1seNiVhwPW9bVs6srG84EO6WSVNqD5BoLSbo2qlHQ5WTy5xg9sa9R0DpJajG62oPKASe+byVqnZauMD55089Z3gcHYGGMabGJz9Z87IRJgITxBy0q8K+XYYzW3bWYlkUf+CVCpJnzI5T/Bz1uzk0FIA93QHdbKQQMMDk4WsgPQMmHkqfzA/T03e2BGmjfctEFWin5kwTGBwlp7so7DA/GhKskhzlK2pROpjjaxgAMfWOBYsBz/JXB8puAH4L0nDW9zPe6AAAAAElFTkSuQmCC"
1 - \alpha
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA2UlEQVR4nN2TUW3EMBBEX6ojsBRMIRQ2EFIIKQSXwkE4CgmEBEJKwRAuEKYfdk+5RPX9Vt2v8e7TaGclN6Jeby/mfwK4AN3u7YMVtRUhSbrBmIXZTZKkEbtLUgZmmHN/hUwMpXUE1GOZ7KMk6XJcKrAtDrTj7ylCNeaEF2B5xNzXR8reDaCTQ5q6Kc4GoHV3qGy9AAQL5T7tz+AQc7awZlVGxyU9pi5VUwxs1ypgzlQF2J6fJyB90VeBTyyegYdtep9sDk8tSW4A7u5GG++SJAeIkpp/8XFeAt8sBZM/YrbV9QAAAABJRU5ErkJggg=="
\mathrm { B i }
"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"
\varepsilon _ { m } = { \left \{ \begin{array} { l l } { 1 } & { { \mathrm { i f } } ~ m \equiv 1 { \pmod { 4 } } , } \\ { i } & { { \mathrm { i f } } ~ m \equiv 3 { \pmod { 4 } } } \end{array} \right . }
"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"
\begin{array} { r l } { { \mathbf { x } } _ { N } ^ { * } = \arg \operatorname* { m i n } ~ ~ } & { c ^ { T } { \mathbf { x } } } \\ { \mathrm { s u b j e c t ~ t o ~ } } & { { \mathbf { x } } \in \bigcap _ { i = 1 } ^ { N } \mathcal { F } ( q ^ { ( i ) } ) } \\ & { { \mathbf { x } } \in { \mathbb { R } } ^ { d _ { R } } \times { \mathbb { Z } } ^ { d _ { Z } } . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAf0lEQVR4nGP8z4AfMBGQH1WAS8GNZBF8Cro0ktVvoAr9RwJ+wqWv/6MBFBOs1TfNe4NuJ6r6153CfhtQRNAU/P///4gffgVzklD5jMgJJpmBgWGjtchcfOFwVB01GDAU3NRAE2BB5ghbdyX5MdxEUYDiBoY3ohhpmHE0VVNJAQBTfYt5Ij/nZgAAAABJRU5ErkJggg=="
\lneqq
"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"
N = 2 7 0
"iVBORw0KGgoAAAANSUhEUgAAAqAAAADACAAAAAD+PI5qAAAd/ElEQVR4nO2d65WjvLKG3znrJKAdgjoEJgQ5BHrtCHAE+8ghwJcBRLCXCQFCsEIwIaAQdH5wsUAXLvZ04x49f2baAlEFpZJUuv1SCASOy/98twCBgI9goIFDEww0cGiCgQYOTTDQwKEJBho4NMFAA4cmGGjg0AQDDRyaYKCBQxMMNHBogoEGDk0w0MChCQYaODT/+90CuBHSn07p18gR+E6ObKBnfzpPtWsvqP6sNNs5okzvx4ENNKlLAACJ9F9r67XS/vO3ckSZ3o8DGyhy0XT/TupyWdcFAEB8vUSBL+fInSRyBQDIz+mvcX6PbJcHfiJHNlBEHAAgLrPfacW+XpjAt3BoA0XaGWI2b82RK/l6YQLfwcsNVBSWH4uFiJGT3hA/5/eTBNib54BV0ifZrejraermsLltwNZJEhm3NfKa+QelieXek+VHiEu1r9lI8k8AkOfrLIEX0tZJWiVjL5NVUjf1msDrbkUflAJAunjZIkXGX5DLoPXm3GQtgIj1NV2t1YHJtvi1MuD0Zv6olDKCesy85kZi670RuVt/X6ZrhiKd/55MRK/6v9bI6JfUTh4BQLJ8oaZoZXu5yzDmkXoDHPzZLDStN+bW9p+N8EGYB9UmGcwq/lzcdjsBeSK5NeFq1tIrSTthLnN/+WQ3ySmp9eLPIlVtgmK5UbBf0YGq4ssXfQUbtDZuPWX9f7KF0ZZFDAM9F+4OyMSNtbF5wadM7TdTbnTF15J3OZ5n393y9HUydjgltV5c5gwkp1huhz2h6NHYoPUcIUjeqjanGM07rQY2ur+ZR03d9VhF/X8rlXvqJrrRteu5AjDrV4ZWk2Wo4hdlHPLcUIsO1RtbVc2Niu6s4pXih6jip1pvyy1H10psIyDqMtv79WceVGZwVzCzxi2blyx5cfo1IMFeZ590mRbl7PHG84FlGTu8khoXF+i6U3Keu5X9ih6KjVpPYypN3LlJkj494Dcz0EzGTnHo/JvOTbmQxN0xTswe9lr6oc7z1Ni4ra5YlLHDK6l5cfdOpCBrrPoJRY/ENq3r82S4Tw6f5vkBlamBysKTJU0gsvGvixkLKR5uSWanBgCKz1NfgghzzPNYxj7kuU9GQ9Iu6/KSOfs2Zf9OMnCz2fpSRf8cXgWteLWeUZ9OxcSvJWPxf95CZ20HvWFnUo2No7vZTLoB+XAdBSqlbhSPkAlfyNtH7wfdzSCtveeV0ZBUKaVaHjGA3JVSltDTvZf7Zmud+xR9rg3a5jzXQnM3zpK0e3+3qsorpa68MpKmuYyvy6+glbnWnjbolQHM1cTU2qA55/y62QSm7zDusnNSDZ3ke2J+/BRD05gzBtxVTvMqHs2ymlqFUrdqhj38qpRSqi+Izpa2bqA+GWeSdtdFuVI5wJW6wgzX5t07uRLzC/kV9RtoX+b6mBIbfuiSmErjvErGInFnNG9vMcmVUgoAeMvSBHyeNH3AIPCCglbmWjsNNKdA4vxy9z6swsE7F2vKucD0HZKFWLQWBzc/fjx8EH5VVxCVJ61S1WhVt7kHNJy5p+/adtUMdRXAiYEuZhjrpnPr3hkFU4pZHAwHb6ucJZYv61d0yYNe+4+XorOaO+2/HgfjuVJKsb5I3whpO7mvSinVMvD4pgiIkTSVe52CVuZaOww0p4DtzTyy6T4ZBwhj1F8NWpkMdQoJf3vDmzr2YVJAICrFNBIezTt0RvPEEyDrhzwbY8hzo4wdem9LnlkCAKwASnEzLxaIigsISrP7uFJRB3HUXcaLTh4aY2i6Nd0ILavLBADOsgsGp+UlBkCiWsQRkiwxkiwsKmjFo/Uj56yQhPuaqE0xhLGRcgD1RSBj29qlk/IAoxxOqRB3tXEe6d7pxpVSSvdYCTibN8SeG8FzDXkOgmke1Cqjji4J7ys9DtZSW+5Ae1eq5fbayaPoYhs07RtUUa9V1A4i9S2QCkQppfIxoz7G+mjOG0kPBp+3qKCVudamB205AeH+NuVQBaiq/7elqwaMdUH0P/jSQGk1NlFv4ydueQSq1PSzM5AupxxjqBx7Ow0dnX91tHZ0A7XIOEOTtBreVwXGbfVfOyiQWl+OR9FFA7136txpZ6i34fF8uLHPIR7F7YcKHpF8I+kBHxoaLgVvbIb2bg2t5wZ6TwjoUnvSMuqToyt0q5lU8ctjWpHxH5C0PhlOu0bU/SZeEGjoyE9yHJn3YpHRTfaQT4i75QIxxKl50RSmLs8oSiNRRkDJMyEioHxkMM2qHJc3GdWtJ6nHraCxZkqLQy1oDZwa0Gohgl9eEmO+Q3LeOE1yYqDSrWeH1nzQ+iKNcVeDoTlV62by1CzjiF+QrJhHYZfRgagfYWh5s8nXjArQprSkPqNoci5ToKyarIyA2i3uYEuEG8biSQK8CjLPAS9+rQHci6z5SBKfDxBn0z4BtjFIvN5AG2K8dkEJoGkzlo0G/WsRjT5kM1XHWPdOvC5PloiWpiS6ZZxn1v9bas6KWR9vlr5p6gpFncTnRkSCkiQrU9SR26ypW3FPErBGQSt+rQEgSYqiKJi9WACAOEX2+WLbJotMe/G+KwtzVOYzZ91tDABYPd4/upMC7iHF3/MfmNfjXQTJlzyTW8bpg0ZJy/F1uSoe/VOZH22Vok5IXBZ5GYNGQkSl81NTd9PLk9SxrKAVv9YdSVJndc0Se/SgOVFrxEVubAqtX3ZMjRHmpumeVXfvQFNE9q+lKchYKYt52TGqa2+hzQrki2XPKaMsaAwUgsWTB8nR+YuLo3iOcyVkbXm1qxR1w8oyr1MgORd57ZyfyorRDKWka5O6H5cVtOLXenw6q8uiptxSNuUnrUZ3UorRb0ixYRYEgGlHE75+Z2V0YuOuP3brO3j5o5sb9eGFRAtbXZdiWF6u/ghvNXSc7TJeKbi6RazvQY6SjtH1G7sCSqm7Ukq1efKYpTe+kiGePkn2KTr24if5TSHgiVKqBbk+1Bs76X0O90fwIk8nF5hJDzi4S8FlDK2dI0n3BKDGSGsbRdpPNzL+wV2BQhfrPSjBKZlUsbUY+q9daWNA/8vwU13mD/8vnpk5IM5gK9bEOGTMSPpJRFGRc1GzqaRdzVdnVwGUcdGkALLsMZekAZpuVk+GtNNTT16lqH7DjLjIKgAkLs/u9g3l2aVLlUW1OmnAouAiFq2dwuW8KC5ZMonXy5Pgw5wd2aQRzfrHimJNP3fCtNz4InfmvawvFH0hjtDH2W4Au1YVj/SoJcOWRUBT2gjECAnHWphz8FYuGXPk3bTbaiJpC0StuidJqyqA0GGK7sMRV31g+R6NLkRL9io6elDmDi9f+3ijFkVVKsYYW+9v7Efl22gY6qSjJ5wmaXBwl4KLmFp7Jyy3nEwGYdppE6dSKfi9u27zJOqnDLT/nkPkNR9isF3reDps0T5Tw8e2CL0urNtAh+GUpFVKJf0IzCgpB/qpOC1AroOkj7edgjPGeULG+Tp6slfRQabWN4Q2fLHHlxvlZpoCV0o5T6JKu2DIU0/S4f1MeFPBZUytl2bU53pIfualK3UHQBh1T3pys8FAXZDx9dP+03DE92omy8RHbITPJ0IpNRuoWRq16cfcokGGQVKV87Q3/Wv6GD58tNQ4KnVL9ZlverJX0UGmSX5zbu30Xyd392wve1JvUhYFlzG1fnIByT3ljKd7VvY+b6C3h+jDSp/Yos3+NUkqt47fplsMlFKllGpHuXxrkiaDhszIV0/2KjrItG4p08t5xqRMrV+wiHkfzxtorlXdUfdxqFmbX/e3QG8EkaXsxxsMtLfM/NFQiJzlpZrYrjFyPEn2KjpGFl6xBG47z5iUOV7+bQb6/NY3jRb1y0kGQDbmWN9lwzL0KfJT2rZikuWGIYm+s509xlI6SW1kuqSN8RA9eZWi2W7Nvw1T6+/jeQOtKR13oYnyOrMGlC6y2jsQ/9nMNgjtyLYM7XcGWsjH2EYnqYWyuWpPE/OHTJLXKDrN7z0wtP5OdHeKPVU8KE8eNXCOm+JGf6ja34Pn9gh9SyZ944UqnuOuVMUmDYXcNXVveqOvZvMruntN0muo+O5Gv0XrJ3J7jhfssCwjLQydoIyEMWhZ7N7Qs8isEXp52jS0LPABkkwj2QnK5YrMPzr4SkVfzsaJ6zoWrZ/I7TmeN9DZTk4JIIwmzPJCDQfiAsucA1lsXEMrWN4Yb3jNmLCpij91t6KHwq/11/K8gRq6CBK/qrjJk0QyLc81IGrHk100Mtp3Zo1A7HnICxU9FH6tv5g/cIhCZJuYvo+TBF6wF5dZFa+Etr7UFyp6KPxafzGH3gL8/KKDPHYb6IE6s1/IobQ+soHu2JjSzusWRgW+mgOfk7R00pyOb30NIL4lEumXKbCOAxtovTRzcO0OitKxKiHwBvzSi/kvIJT6wKE4chs0EAgGGjg2wUADh+bAnSQfQnj2Kg/8IN7Sg9a/yyb7/U1n8wW+lIkH/ee7pNhGeb5R0HPxgpP+AkdnYqD/B/znuwRZjzwndGmXs8BP4Q2r+ExyAM2Gk44C78vhA/VNjXg6e+EjugI4kZ8x9zLg5+AeVH4W9fkTyB67SoomApDJt1uKFtjDscNM4lwRfNQNLR7mWCOGKMja0wAC782hPaj8TAkQo8m0qesNwcdZkCcPvQ68CYc20HO/VEuW2sSmhtH77Vp+vGgyc+DYHNlA6zIGgAgX/Wx3QQHQq/wpx7IHvBzZQAvKAIAg0SfEdyfpUnK8E1sDf4ADG6gcd23X1xjW/ZKZ0Ab9OziwgfYbsMjpFjX9JvzLx1AEfgQHNtCuDpdZhAaNBNBcfjfDrheFeQZD4CdyYAOlkIC4cIqiKAiAIgNFgwaAKJIdx74E3o8DB+oZKRpEOSKIbut/gRSQ7BzTuuDBgf4dHHksvqlpRACUEQWA5oNVwK9rXD9zXkjgvTiygc64FHcC8fs4+8cFvoADt0FnyCInQBOc59/F+xhod1ZWGOD8y3ijKh4AcJJhGtNfxft40A5xqK3XAn+cA4eZbDRxWOjxd/FuVXzgL+PdqvjAX4ZuoHVYzBs4GrqBNhvOJQgEvgTdQC0HpwUC34vWSZIfktxDFCdwKDQPWkgkwT4Dx+LhQeWHjMIoTeBgjB5UnmTYTCZwOAYDlScR3UOQKXA0egMtfjf8FhqggcPRjcXLRpKDuk+xsL543ymxgXdh6CQ1nyKqjuhCi4Xz5ri+z7K4oHJe+T0cUKS3YpjNRKuTOB3RQpO6BACQySCXY1sRebztRg4o0lsxTrcj19/idMQwUy660xLySV0u67o7ajZMsf/ZPAL1NIE44oZcffBLfk5/jfN7mDjwF6CNJHGC4og7HkXdEnij9NCwvvPnIrNLZ4uagZIYsvwmebyknSFm89YcuR6wzRx4CZdL1lWZ+mym6IUtOlGYv+32z70hfs7vJ8kLdrmzSfokR6qImvqFB569NDP/kwZb1NckUWfvuLtn/iWpe3skcbKkiUu1r9lI8k8AkOf5WCwvpLVIbRDVKqmHekXkdbeiD0oB4BUnlRUZfz6bQenNmclaABEbarpas6/E+xqTetBeacz+nGGE85jz0huJbT9H5O7J30e/E1M6/z2ZSlz1f64X1SGpgzwCgGTxOk3RyvtOnTDme78b4OBP5qApvTGztv9sZLhL31CrWri37f79I2uS5IlYD4m5mrX0StLOI13m/vLZbpJLUvvFn0Wq2gTFYqNgv6IDVXWQ3dHWK23eeuq3dpXZwmiLBdJ73U0GOnFgrXsB8KdMrd0XyncHsvIuw/PsuztlWCmqS1L7xWXOQHKKxYbYE4oeDa/SZ++bEILkrWpziod5p9XA2kaQ/iH//e9/e5xuRf1/j+TuyokueXYnvaObV68MrS7SUMWvFNUjqclQv7E19dyo6M4qXil+iCp+qvQ8MyDxNNpy3JRSSrUREPW5bf78Ew/63//+12fLs1YtcxQfeXE7tgTbnX1/Z5dnMQuEMbsU60T1SWpeXKDrTsk1a1/3K3ooFpS+0uLj09mxbuLOS5L0ifDQhiqezj+mo5VUSOLsGCdmB3st/VDnrFbh1qpipag+SS0XxxQApCArrPoJRY/EgtLxPWfl6eSaGTF8mmd6ClsMNIF4HGhwcUZBiodbktmpAYDi89QVIcK8kSwf9iHPp0QtZg5UlpfM2bkp+/ecgZvN1lcq+gfxKmjDqzQAJFXF6tOHtTA+dml/xkKnTYqF9lI1Novu7sANkA+XU6BS6kYxxkw4Jo3GTfRu0NOm0hp8K0TVJFVKqZZHDCB3pZQl9HTvBb/ZokweRZ9rg7Y5z/VW3o2zJO3kqKq8UurKKyNpls34vvwK2pgrbW/QVglAc0vCiN4GzTnn1/U2sNFAh97xPXEaaIqhbcwZA+4qp3kVD3ZZTY1CqVs14+Z+fF8Q3Q1t3UCXRR0l7a6LcqVygCt1hdn0z7t3fCXmJ/IqumCgfaHrg0ps+EF1BprGeZU8SsSd0by9xSRXSgEAb1madDajJ80eMAi8oKCNudKuHtc9AQh3Wt19iKpw8K6hZsrpYquBjjgNNB4y4Vd1BVF50ipVDWZ1m3tAw6V7+q5tV81Q55uYGOhijrGu7q17ZxRMKWZxMBy8rXJm67V6FV30oNf+66XorOZOO0k4GM+VUooNRfpGSNvJfVVKtQw8vikCYiTN5F6noI250u6QwJ0TEO4wez58Mg4QxuhCPThhm4HeVthRpGXCwa6JUtp3U/M72Ryf5P1Qp/P1atawQlRd0jbqMk3A1NU24MVwTQHCUutHcCu6XMVHvXuhvVvjvM+Sdq4zHRSIeku9g/bPzAebmSVNJOPrFLQxV9oXs2o5cZjdnQzvhHeqVpG3Hpyw1YPGXT2cR04D1Q0iAWezlthzI3iuIc9RPs2DLoqqi8IH6wBrqS17oL0r1XJ77eRWdNlA076BNhhqNHqbW68JUUoplY85dUFWrTk/T9IYbGpRQRtzpX0Gek8AOvffSimtClBV/5+Wrhkw7kSYyrNkoNHwv9sqA2Ug3fvKx5K9+Aw/XeTC1U7VDXRZVE3SanhfFRi3Oeh2UCC1ln23ossGeu/0udPOUG/94/lw45BDPIo7RM1H8edJGnxoaTgUvM1rMO3dGkq7DbSKAWZ3iqnFFnP0pW6RjTssR8Z/vNSIuo6NeNW2ZPlJjiPzfjaJmj3kE+JuuUAMgWpeNIWpyzOK0kiUEVDyTIgIGI/QnedUjuubjJi5J6nHqaCxZkoLQy0o/aDOajBuv6K8JOZ0h+S8dp7kNgNlDxnWLFVs0I9DoNbM5KlZxhG/IFkzj2KTqKJ+xKGldX+AZlSANuas7ucUTc5lCpRVk5URULvFHYyJmLbgSQJ8CjLPntp+pUeKrEHCHUVDnC32CbC1UeL1BtoQ44ULav0GY9lo0L8W0WhDNlOPZqx7J16PJ0tEi1MSV4s6PLvUvBWzPt9/uvIaRd3E50ZEgpIkK1PUkduuqVtzTxKwRkEba46UlqXPPCFOkWO62Eop1htoYQ7HfOaW4srqcdx1dCfDiK6F38b9Xod3ESRf9EwrRX1IWo6vy1Xx6N/K/BhrFHVD4rLIyxg0EiIqnVUpdU8d8iR1LCtow680AMiskIS75x43J2rf8EuubQqtN1BqDGc1TfeQuk4B1HVXq2rCyv61NAUZamUxLzpGde0ttFmBfLnoOUWVBY2BQrB48iQ51mXi4pjWME6WkLXl1a5R1AMry7xOgeRc5LVzfiorRjOUkq5N6n5cVtCGX2kAl0IS7hgEBQD5SbW9Fkox+g0pVs+C0HtM8PU4K6P3GhOllGoZ0E25jIcO2nDhEJ1LHuHjK4xQ8gauCwHeaug520W9UnB1i9gjblMNt/XRdXYFlFJ3pZRq8+QRVBzfzBBPn6R6FB178ZMbZhDwRCnVglxH/cZO+pDD/RG9yFM16cXPkzQ4uEvBRQyljel2NPcNWrZRpCffyPgXd0YK56z3oASn6f62tWAARHn9VwRx4fFnV9wYIPri1vcC6+4Uw/6nJ/rz4gy2Zk2MQ9SMpJ9EFBU5FzWbStrVfHV2FUAZF00KIMsec0kaoOmm9WRIKWapqxSd3DAjLrIKAInLs7uBQ3l26VJlUa1OGrAouISp9Jzc6wblSfBhyo5s0iiiWf9YUazq6ALYMlnEvLcvweA3rk1GjYaRnhvArlXFIy20xtzDQIu0EYhRYGM9yjk4G5eoOfIuglhNJG2BqFX3JGlVBRA6zNF9OOKqDyzfo8GH6Kk+RUcPyjyDJ9c+4JhrA0ExxtD6cGM/LN9G/VAnfTjCSZIOB3cpuISp9KbZz+20iVMplYLflVItt0xocPGUgXaPuSNPlFLxMK6RDzHYrnk8GbZon6nhY1uEfiKy20CH4ZSkVUolvaijpBzo48wtQK6DqA/bT8EZ4zwhQzB6kupTdBCp9Q6hDV9s/HKj2EyX/0op50lUPS4Y89SSJvA+qG8quIih9DYDnTnpSqk7AMKoK6JvZUMc1BUwE6hTAGKIjyRZU8ZdQpzOjs8uzbnEq7mUlg6SPZzmFjUieMScRklT2pAu+kKuTd86KIFHf0WCpaKW0RhOmaSuUXRyg0FFp/8+NJjU2HHcNH0cbq6ilmTBpuAihtIGp/kPegiQm/3feylFxOJNO2bq1opdw5Bdsbo/Ctew0ic2y9v+NUkqtw7fplYP6oJSpZRqR7l8a5Img4Zsnu8k1afoINKqlUx/gCfWJBlKW9YkzXjJMqrpI/Q//vnnnx1ZMNIqpXKt7o66r0ON6vy6vwV6I4gsPcZ4i4H2lpk/WgqRs8BUk5c9HzmepvoUHQMLr/92q3jCQM3h8ucX2W8XYvLHLg/aObZEmyl/I0wp1Zq9Amp2clbSUtjmiLXDXO2OBQOtumgQfdhKJ6kNpj/uPjevSapX0V4ktnvPiifZb1OG0t9ioM9v3NCPotQRaYZocZTXmS2idJG7t8j9bGYbhHZkm4b2u2hQIR+DG52kFsrmqj1OzJ4yT11UdHrDezBX+pvQrRV7PCjHTSnVgnJtzn+Om+LzybPV/h48t0foWzJt9iyur7grVbGJF8+dc/cmN/o8h1fR3WuSXkTF97b6LUrvz2w3G6fbWRAkQncQrdZtTVBGYj5qWeze0LPIrBF6edq2wYzAB0gyjWQnKJeHJP2jgy9U9PWw3aJYlN6f2X50a8We0t63rUw/RF7WYLkR2zqkttu1ZoMHJey+zwMQr+/3KvrdHnQ/fqW/iuc9aO89DDckSPyi8iZPEsm0PNeAqB0PdtLIaN+hNQKx5ymvU/RQ+JX+Mp43UBeRbWL6Lk4SeMVeXEZVvBba+lJfp+ih8Cv9ZfyR7Rdfy/lV2z7vNtBD9Ga/moMofXwD3bExpYOXLYwKfB1/rop/EWLLLnG+BTaA+I5QpF+kwBKHN9B6aeLg6sknMtk9TyXwbfzSC/gv9zygQOBbOH4bNPBXEww0cGiCgQYOzeE7ST6EkNtmZwfejjf2oPXvssl+f9XZfIHv4X09aHm+UdBz8YrzAgOH5W09qDwndGEbksAP4G0NNJMcQLPhoKPAO/IugfqmRjyZvvARXQGciH1vqsBP4T08qPws6vMnkI3L4EUTAcjk+qNgA2/JW3SSxLki+KgbWoz2WCOGKMjNd1vgB/AOHlR+pgSI0WSPqesNwcdZkCcPvQ4cnncw0HO/VkuWj5lNDaP327X8eNVk5sBBeQMDrbv9kyJctLPdBQVAr/KnHMsecDAx0CMskjIpKAMAgkSbEN+dpEvJAU9sDbySiYES4Hgjh3LctV0rP3W/ZCa0QX868yr+eAba78AiJ1vU9HvwrzmGIvDWHL+K7ypxmUVo0Eigufxuhl0vCvMMhsDPYmKg9Ih1JoUExIVTFEVBgCIDRYMGgCiSHae+BN6JSaA+AsThxrYZKRpEOSKIJgUgkAKSnWNaF+YmvoEfxmQsHr9gPbfue2lqGhEAZUQBNB+sAn5d4/qZ80IC78J0qDMuj9dJAu2r8c63F+TadZyCdf4VTHvxzHEowXGQRU6AJpjn38LUQGPAc6rtEeiOygoDnH8NUwMlydFdaLc7iDhkQCzwB5h2ktB8kPtBtjXz8a9ozXH1gR/AbCSJcmk/VOBQNHEIL/0t/Jqv8fjd3MLwYeAwGAYqT9h9Vkwg8GqM+aCkohvPzggE/hzmhGVyTT4PGK4P/J0YVXwgcCTeYMlH4G8mGGjg0AQDDRyaYKCBQxMMNHBogoEGDk0w0MChCQYaODTBQAOHJhho4NAEAw0cmmCggUMTDDRwaIKBBg5NMNDAofl/9foQslphIyIAAAAASUVORK5CYII="
\left \{ \begin{array} { l l } { \Xi _ { l } ( p ) = \sum _ { \alpha , \beta } \big | \Xi _ { p } ( \alpha , \beta , p ) \big | , \mathrm { ~ w h e r e ~ } | \alpha - \beta | < 2 5 } \\ { \Xi _ { n } ( p ) = \sum _ { \alpha , \beta } \big | \Xi _ { p } ( \alpha , \beta , p ) \big | , \mathrm { ~ w h e r e ~ } | \alpha - \beta | \ge 2 5 } \end{array} \right . .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA30lEQVR4nOWTQXHDMBBFnzshoEBQIYiCDEGF4EJwITgQYgguBAmCA8GC4ED4PTSu3InSnjvd0+7q6e9o/6gRP8fTL+d/C3g7tt/66fXYnACQJEULXiXWQBjiKklIWoLp7R6YrYlbfgBGuxhORT6319l9VTew3yl4+qJWeUVKdijV4R4YCZCzcY9GQOwNYGN9RIKX63mJLrepOuICkwc7P+d3X1u1BQ9AIFEDTCFzFQDyLr8HvOFyw1xdITACMNLBtofJYKbNSsewavZ0m5vy2+VPD9cOwJ4lSc3/+hcP4wMvUKyveo6edQAAAABJRU5ErkJggg=="
1 6
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABD0lEQVR4nM2TS3XDMBBFb3JKYCiYgimoEELBFBwIDgRTcCHYEGQICQQbwutC8UhxfZpNF9VGn7maeU+fk/i9nd/E/wD4SN18hRpgnSNwvVnXPAlJkoLvaCU1APcUScAdQgghBLtIap10oLf47BdJ4zgYhBK4JDzakFbV7wC7S9Jiz0VpdCC5WAD4XPvCX/3jHK5zUxXANt6SKrozScPOZjqK2sdqfeIlpolLzj/nybangegJFli0K2GFHPU02gEjVBkI5nrPXpTscZqy4Q1Yyzdwq7v9ewB4eHweC9qNu/BofVZTimS70lYHgCqgk9RZo0NgAKiC0ekYUG8AIb7Gdco/a/16WKjZtdM/+HpvgW8Xq5JThAJc4wAAAABJRU5ErkJggg=="
v
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAdElEQVR4nGP8z4AfMBGQH1WATcFR6xsYChj/4+ZhmnBDnYAVm6wJucEPUwGKrVicwMCCzFFnYGDoUr9ZhtMK67kMc4X9hbtwKmBgYDgmwiByE6cVnSKYbkAxQQTiDGEUFf9Rweuk60mvkQWw+Qy3FaMKcAMAW7IwtfCF9FUAAAAASUVORK5CYII="
l _ { 0 }
"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"
{ L _ { 6 , 0 } } = \sqrt { ( { L _ { 6 - 7 } } ^ { 2 } + { L _ { 7 - 0 } } ^ { 2 } - 2 \cdot { L _ { 6 - 7 } } \cdot { L _ { 7 - 0 } } \cdot \cos ( { A _ { 7 } } ) ) }
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"
\begin{array} { r l } { \mathcal { A } \ltimes \mathcal { B } } & { = \mathrm { f o l d } \left [ \mathrm { c i r c } \left ( \mathrm { u n f o l d ( \mathcal { A } ) } \right ) \cdot \mathrm { u n f o l d } \left ( \mathcal { B } \otimes \mathcal { I } _ { k } \right ) \right ] } \\ & { = \mathrm { f o l d } \left [ \mathrm { c i r c } \left ( \mathrm { u n f o l d ( \mathcal { A } ) } \right ) \ltimes \mathrm { u n f o l d } \left ( \mathcal { B } \right ) \right ] } \end{array}
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H = \frac { G _ { F } } { \sqrt { 2 } } \mid V \mid J _ { \mu } ^ { + } J ^ { \mu } ,
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- \frac { 1 } { 2 \pi } d S _ { \epsilon } = \sum _ { n } \beta _ { n } d z _ { n } + \sum _ { B } \beta _ { B } d z _ { B } .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA0klEQVR4nO2TQZHDMAxFf3eWgCmYgimEQiiEggvBC6GF0EJIIMQQEggJhNeDHddNM937zuoiWX7WlzTjE/psX7/c/xHgu0QxyubQ2kFrDOlAtmb/1KX8VuE8e2kdWq2z1mitcZ3qCotbgM4DENRTLAPTDcCMWW15AwC4JNllkwegHvPeJid3vIc4JCC+AJVE1yZvNFYST2DSBYBRhkOgy/mgpgZKD/M1b2Z+XWgBfnQMbBK9cos0ssC078GV9Xop9L7dAd745zSSCaXJ0/+/kCQ9AO/7H2hHxwmoAAAAAElFTkSuQmCC"
\pi
"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"
\Delta G _ { r } = G _ { \mathrm { C O _ { 2 } , 0 } } - G _ { \mathrm { O _ { 2 } , 0 } } - G _ { \mathrm { C } } ^ { \prime } .
"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"
\mathcal { H } _ { W , W } \equiv \sum _ { i j } U \left ( r _ { i j } \right ) - J N _ { \mathrm { H B } } - J _ { \sigma } N _ { \sigma } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtklEQVR4nN2TURHDIBBEXzo1gIVGAhaohFhIJVALkVANkVAkBAmJBJBAPzKBkNB2+pfpfh2zy83tclSBzzh94Q8hOK8PxlikUrkiRIwz8wgZkmAQQrsQRvdG4C4MoYAo0OgSH6ol6nrSgG0bgF7ESaOLSVgAAeBv7V6AfC6Vv/pSDjZW9YpPSTb+vpRuvQKxgzadldCPbJCCUgDNbD5ZzoY0Qm7v54+ldvQxNqooML90qP7iZ70AgC6o1F0IkRcAAAAASUVORK5CYII="
\epsilon _ { 1 }
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a1+v1Tqezu7u7s7NTr9d937efZQ5vZ98ahuIGGmvE0FfP80qlEoAYrBPdaLPZ7Obmptvt9vv94XC4WCzSJKlVq+1OZ2tra2Oz2el0Njc3y+WyMlpKCXGG5XJOvTEGpcyKPgpWLBJ3p4u5fJMrvxWs5B5aa7z2ZDIZj8dXV1fdbnc0Gs1mMyFEEASlUkkIEYbh7u7u3t4eOE+8HhGhDcA6Z1eQf0CE9x72Va32uKBGa93tdi8uLm5ubpbLZbPZbDQanU6n3W4jkuWNZMZYEeJWSZLYLjJ3xqwBWCAJEUIzYKDz+RxedzgcXl9fDwaDKIoYY77vNxuN/f39o6dP2+0296SVlhQSod0YwwsWzBRJVK5kGIzDIOazZ8wtHl6R6x0mj4RjtiIMw/l8fnZ68frNj71eDx47DEMbA0COaK2B0ev1OsSp15qBzcOFnT8pWra2RABwfT6fTyYTpVSn02k0GvV6HQtjbJ5jnHZO/OqSi9AYyM+1AQuLrB6kaRpFUb/fhw7BScRxDIlubGy02+3Nzc2tVmt3d7e5uen7/nK5jKLIQjxMLG6FYdj4JYpX01ozc4tddE6TPrC/hA0bufk7DTVpmsZxfHl5+ebNm48fP3LOYZS1Wg0MTpqms9lsNpvFcXx6eppl2eHh4e7url2VgDkqUqBV3MHuS3nvPfn5w6q2DauIl7PZrFQqIXtBT4Lt4LGaB2sA+rW6bgsSYIkdeL+KfpfL5WQyAcrt9Xr9fn86nWZZ5vt+s9nc3d2t1+utVmtjY6NWq4VBgCQKvloIgZ4Y6UkLVrKi2QUlWGseVqXso62flStzYYdofTcRMU54C8aImP7w8dcff/zx8vIyDMMnT548ffq01WoBWcBFgJW+uLjo9XonJye+71cqlXq9jgpimmaoMVmZrY9hXUi/Kb+Vy6xquqjV8zzkDGEYlstlIrLLmzCD1odboVp1RDO+tSdMuoVU8L39fn80GvV6vevr6/F4jJYlIiqVSo1GY29v7+DgoFKpgNlH2TwMAlxjhWSTKAxDKcWKxn8pJeVrem/twU260IfKLB5mRUFjxb0EQcCLpQSYr8lk8uHDh+Pj43q9/urVq8PDQzRt2OhijAHLBVT84cOHbrdbrVYhXVA8CF2MsXUe8fcebl3PNVAXD1IRXIkIuTx03/IDUDgbj7GgOE3TSqVifXJuTKUSGGYI3hSL3abT6cXFBZKW2Wy2WCwAIbe2tuDq2+32zs5OGIZXV1cnJyfj8bjZbD5//txUqzZIMc6VUrPZzPM8VIjtPgSsKEC5iDIPCoWngWfFK8iVGVmJdsXSoAzTt1wu3r17e3Z2Yow6OnryzTevGo0GY/D8gojSNAUPAvYyy7LLy8vZbNbtdlutVoFKsntDqYtx6M+FW3ZfP43Fty5qYwUXjSZs/JXZlJ9zKeVoNMqyDHkIsli784Pv+57nDQaDs7Oz9+/f93q9+XwOze50OgcHB9vb26iqgvYbj8fdbvf09BRpVb1er1QqCF6MMcG5jd/IWBgxISWYkDx4Mw755YFAG8OQ1HFjtCYyRIyYdN2Ue0A9ifJOiyAIBoPBycnJjz/+mCTJ0dHRy5cvO52O1jrLcm6MFbk/wKTv+wgkw+FwOBze3NyAkMM9H+Iv7XSvxN2HXLEp1ppRgYxsNHFN0FptjjALOszkTIuCI61UKlhcHEUR5HF5efnp0yet9cHBQafTgZrDauHYlVIXFxcfPnwYDoeNRmN/f9/zvI2NDWDsarUKIAmXMBgMTk9P5/P54eEhYjwjso1LgFSbm5tE1O/3B4PBbDaDh4PpNxoNRDrL4+JnYwzn0lXifEsgNwIXs6A5F2mqsiwrlbw0jS8vz9+9ezudjlut1tOnh9vbbVAhjBkhWBxncLy6WK+JbKder0+n0/l8fnNzs7OzEwTBehPJOkJeCQoPiZ+IYF7WFlfclHulLnow1u9jJY3wCbHNZrOzs7M3b96Mx+NWq7Wzs2NVwRgDe0UR9OzsbDabtVqtZ8+ebWxsYGUcsFWSJFAF3/dt6sw539nZ6XQ6nHMU+jGO3Ldn6uzs7OTk5Pz8HGVBxliz2Zzt7X311VdhGPq+T4KTNsogi/UwGCJC5kLc2YfA3OW9cB0QtlLq6urq7du3l5eXvu8jhQ/DECjuXnDIGJNSBkGwtbU1mUziOE7TFK0bUt7yNZ8xwRXRriMji3dsBLIctV5b4r4SX+w7WnglhKhUKtPpdLFYNBoNrfWbN2/++c9/pmm6t7d3eHjY6XTQ+2kfnWXZdDoFCwiv+/jxY1vQRcrubuUSxzHSv2q12mg0wjA0xgSlktZ6Optxzjc3N5MkOTs7++c//9ntdofDISQthAC5IYTY2dnZ2dkplUpxHCdJ7HmebW5ijKFlxxBJzqQhY5iyI9Y60zrnHxgznieFEN1u99OnT0mS1Gq1drvdarU454vFQmvFeckYgym1xSshhBQ+Z7LT6YxGo8VigYnIsoxz+Rmhrhz3ysNKBRHONTtdHGDa7nqgO7e1Z2xtJwxDuM3r6+vXr1//8MMPSZI8fvz466+/Pjw8hBgwy7gYlHgQBDs7O7VabWdnB4yNS9XxYiWy53lxHE8mkzRN4VEBv1VxvZQySZJut4tcYzabQRuiKDJaJ3EcR5HveUqpSqWC2M8NMUtKGE7ENDOMiJGQ+Rs6zL4xt0jSchyj0Wg6nYJv63Q6lUpFF02OcF8INkJwS6Iy4owxcIqIBG5jwB/oQ3OFamkToEe8p6URVlJPa5rkpH020FLhIdB10Ov1vv/++zdv3iyXy5cvX/7973/f29sDQra5EBVMIYKc1joMw42NjSiKbOJgZ5NzDnJYKQV/gM/aF8GdPc+7vr5+8+bN999/H8fxxsYGVmLNZrNouYS3u7q64kJsbm5CqxCV1xl+Y4zk+fRyN+HBaLIsI+JKmcuLi8uLC0ZUKZefP3u22WxyxoixUil0KUoqKFm4WaWTTKWDwaDf79/c3Hiet7nZ2N3d9v0yW6vb3xtHV/5kZx8uF8kG/AqGYUdiESa/u9EGcxgGa1JJkqAPO0mS9+/f/+tf/3r79i3n/Pnz5999993+40ec8zhLtdbck4oMZTkNpJQCuYhZjqKIHL/iIjjIHv1m1jnD1vEWnudNp9P379+/efMG1ftWq/XixQvP80aj0dXV1dnZ2WKxWCyXvV7v7OysWq3u7OwIv5QV28kgx6H86VqCrLcvaVEP8BsRjUajjx8/9vt9ZC+7u7uVSr4VmE1vYI4wmryBnXPgwI8fP56dnV1fX29sbNhccL3f9TcP6wbsygXIslqtJkkSxzFyEtSRAH/udb8WQ1pJY6hxHJ+cnPzwww+vX7+WUr569eq7777b2dnBO7KiKKaUMpmypgZawxQkg3H69Cya48VijcViARgFvrBer1uHh6e/f/++3+9LKdvt9uHh4eHhYblcnkwm5XI5TdOTkxN48l6vt7Oz02q1uOc7aTpWmhR1Ost5ui7LRik0f5xfXERxXK1Wm5ub9Y0NY0ySomfgTnlVKYW2W2tYgJSz2YxzHgRBrbYRBGW8mF0g9uUHps/GLejQ1dXVYDBIkmRjYwPFZ7h9CN7apbUexAKL23FbsGM//fTTp0+fYKkvX74EAM7iBNiBGyKlGWPc6SOEgy18G7kvZU0F82nlqrXOsgwvgkEqpUaj0fHx8cXFhTGm0WhsbGx4ngd33Wg0AJqwqVMURfP5fDqdLpfLiudbjLYCM+UKlKWiPgoN9TxvPB5DiZCc8Ttbktz2u7C8LpvZyisIxfF4TERAMSwvMxFa1B8SHluDwXZgumgRNcZMp9Pz8/OTk5PJZEJEyBziOG42m2EYokjOilKl2yoMbzGbzZBGx3F8fHyMLjVjzKtXr/7xj39sb2/babGsp+V9rIN1rdMutXDDuf3VmjjO20q41nowGLx79+79+/eTyWRra+vRo0d4O9SzPc9rNptSytPTUygHcPhgMJClAEhCa42KuoWj0qY6xhisFwNeNQbtrGowuK1ntdttawEmL0lqk3fkSph4mqZS+JwzlZk4ShfzyAa/wlz4/UJd33T/rkS1U12ZTCafPn168+ZNt9tF+oFUcmdnJ8uydrvNnJ43F1KBy+31emhigtGfnJxcXFxgJcXTp093dnYqlQraB1bwnSs2DImcph8EC+PkQvbgRY3P+m3GWKlUmkwmZ2dnv/zyC9rk9vf3nz17dnFxgadbowet3e/3QaHkzcO7e7ZuYRgZMoxyVHhPymGHpZQajcb9fp9zvrW1tb29XS6XrbHq2zZBBvDi+z7aJxQpYwzKyHjVMAxRFzNFIfMzIqS7ZmqHxBgDRBqNRu/fv3/9+vXJyYnneXt7e+iwRVmwXC6HYdhoNICedLFG3xr6bDYDQ9Tv90F9LxYLKeXh4eHTp0+fPHmC/mEIwO3ettppY431XlaN9N3lN1YwQgiLYKkg6xlj/X7/06dPZ2dnRITGx4ODg8VigUanMAzhCBljzWZzMBjc3NwkSTKfz8EcQK6cc31XjNK466XuVn9AjY5GI+RM2zsdv+TlKqldGeQ5IkA/51wKoZSaTia962u8Q1Aqt7e2QYNpbYADHWHebgdrJ4U5iU0+Vikh1F9//fWHH37odrtSyhcvXjx9+hSFsPl8PhwOm83m5uYmROJufsSLojcV+0yCA2KMoQXgyZMne3t7GxsbSOF834dwbHhmDg3pyszlc7hTNXMFjMED2eF8HMeDweD9+/cfPnxYLpftdvvJkyftdjsMw62trZubm/Pzc3TGoAS0s7NzfX3ted5isZhMJsvlEgkSogyxO/Ux6f5iB0pEi8UM0cLWgMIwhPcgAvllTTbXBsQDQFY0+fX7fbxeGIboRiAipdIVc1y3V9dM3T8tFosPHz7861//Ojs7q9VqL168eP78+e7uLjqGPn78eHNzU6lU0E1i6yR2iqGUlUple3sbVP58Pieig4ODr776CiljkiTIWNB/arTmRZ2KF5ODObEZufXDliSnNZcD2GEzCK31ZDJ5//7927dve71evV4HAAZIrlQqnuednp6iMoYXabVa5XJZSrlcLoGo4zi2vdB2pvCy0uQ/acYYc3b+w7PBEwFhMsawHNMYQ+bO6I0xWZYYY6T0jTFRshyM+pfd7nA0UjrVhmUqYbzYWyyPsngyuMDbllpGeQkBaMX2OHLOQdr9+uuvKPy9evXq1atX7XYbotrd3T0/Px8MBqDLkyQplUquZtjcWilVrVYPDg7AF5bL5Wq1urm5aQERfkDuRIxp7MZzd9/uFS3Ut91bbN1YXQcOuQ4GA6XU27dvu92u1rrVaj169KjT6VSrVWMMwPBgMPj48WOlUnn27BnwXbVahSfH6qvlclmr1VAopAL05PaqlGI8/z6g4vH5FVmWTSYTXbQHgLHLX2kN4rg4Yjqdoh03SSMANgA5pZQQLMvym+O2+NStvhc3FMUmnohMaZqen5+/efPm4uKi0Wg8f/78b3/72/b2tsXzKJXbuB5FEZi/lVm29bharQacCYrVbUBx2cd78ce6v7GSc6Xoyh5aiyQH6Vm32+31emmattvto6Oj3d1dcMu4uF6vE9FwODw7O9vf3zdFv5XtjIS9xnEM2sAQc4chDTeETghuNNP5ltjGSMmh+1EU2YYum9GDI6Q8HmsiijNljBG+l6bp5fXlp9NPo+koVYpLyQRlJktUQoK4J02akCBZ8pXWZAzjTJtbThXdsPDt2hAJrhklKkuy9Pjs9O2v74wx33zzzbf/+PvOzg5cCGOMFJclP6xWFJlEZXGWJirLTO4VmSmoHyJiZDjDcjXDWKKyKE3yWdM5kYR1LoZI2e4EukUA3KwGCNd1sYKIcLMdC+ZxxHE8HA4RO+CBEU1unQRRs9lsNpvopwHIAt7kjHHGlNagOEzRmaw0MZazw4T1nUIyLshGICiUlLLf76MDzff9VqtlGSIbhl0+Je9/zLKrq6tffvllOBwGoe/5wpCyF8M6lcp3IEKRx1b3IFoUs6IoglXBCrMse/fu3fHxcRzH+/v7f/vb31qtFhHBB+CALiO6A3nyopVCFb3NMBc4g1uU5/RLuLNvnALXusmuiMoU6wDW5wcX86KLWAiB/q/FYgHI9u233x4cHFCx/AuCCMNwf3+fMRZF0XQ6xX3q9XocxzkA1poxZnvtVsM5cWPhqNZak8bOM1qz4WRsWZVarZal+VpMIuas3CJFxhBxTp4nZot59/ryqtedzidSSsO09DytVaqSJIvjNGKMxWnCpUjTVBkthFRGa60yrbIsUwsVx0m/3/d9f2Njo9FoSDJJEl/f9H5683o8nWx12i9evdzd39NklnFEnGVaCSEMIy6F8KT0Pa/kl8KgFAbCkybLOGdcCGU05VbKCKuOjL5FFJQzcLnfpvxree5cUCTYCrar7zFZcnqJ7a+qaPDXWqMPF+qIiufLly+fPHlSKpWWy6XFX8Dq29vb5+fncRyfnZ2FYWgX3Gmt/WI3Y8/z4iQhZ7+1PH/VJmOOa+acY3HseDwG+RkEQblctgjQzdNvZ4EIXQRRFKEUtVwuwYEhM4mKw1Y2kiRBvSJJEmM0QN1kMul2r66uroQQjx49qlar6KR5+/btyclJrVZ7/vz5s2fPGo3Gcrk0xiBjRuxHbmpzfxixKTYXtEtLXWG4QZEcqsteth5H3c+uy9VarY3QpqjAa60rlcre3h46MbIsq1Qq33zzzdHREUA4K7ovgPgYYwB0x8fHP//8M1oEsXYIL2sxmri7Miq3V+UWC/GfFMxw1MxBOEB9bFMPORHFGIMaHxM806rX652fn0dxHJbL29vbR0dHZ6cnk8lYqSxNkzRNwjAoldBNzzjPVyJ4nielN53ORqMx1g2Mx+MwDOH8T05OPn78GMfx119//erVq1arZbMFeCSLd6IoMkWZBeHHGpCddLaWlqxMiivplaP4dg+GpMcYg/2N88hKZIhUkepYzIW0FZ4TfmgwGECujx8/RuuycfqHABiBFmu1mtb68vKyWq2i7G8rH4BLyFCUUivjlTa8s7zYfkv3gKxhjKGxw9wW7+55ba31fD6/vLy8urpijO3s7n711VcHBwcX52d2WnXRlQMUl2VZkqQ4OR6Pj4+PP378CFZhsVj0+/2Tk5N6vf7x48dut3t4ePjtt98+efJEa414I6XE0iAILI7j5XIJfICOIfgGKnoqTEEsuHq5bnbumZVf85/d9NS1bGPoPi2BXEEjhGEI6gPNJLDRZRKrLCPBQZtjitI03djY2N/fH41G5+fnWD95c3OTpGmu0J4ECRqWy1mW5aCwEEvRjwjjg9USI8aMMRZxWVeGVN1qIv5FaqKV7l5cnp2czmazTqezu7Oz3els1OuBH5AmMpQlWRwnxhDnwvN8qEK57Akh5vP56enp69evl8vl48ePEUh6vZ4xplwun56ebmxsfP3110dHR0EQdLtd4ClbuYOmR1E0GAyM0xNDRdJiCps1xmitLKKB7IjumJcrUc65nSl4JsrxMOVI2ZUiY5wxz5cpvBqzrUuGkcmMTrUySRyGYXWjrpQynAkpDWdCSMAOpZVOYs/ziBH3pNFqs7316PDJbLkYj8ev3/7MGAN655wzwYXHM50m8TL3Jo6nkdaSyDbZMs4YA9OL7fpg+CtlS7pd0qrBRL9///76+roSlu2isPl8blkqpdR4PK7X6xsbG3hQkiToK0YImUwme3t7zWYT3+iFyApuAaZPRDB0XSxVwzihfPiBFXsxuwPOyXH0ORSLmh2HzOzruJE1nyb4XkPEGRlijGky5m5sxiGEEFJqrbizNIg56zMxk3CzeDRjzDC7/QwnT1rEjm4mz/NQpPrpp5+ur6+DIEhVBg/carUajcbtygnN7N5FxhjJGdOFLhd6reEqIVok+2macsaSJDHOCmXMjjJaa93tdmEutVoNCw43NjaGw6FX8oUnsyxbREuwmogZVnUWi8W7d+8+ffrUbDZBpJ2enk4mkyAIkAg1m82nT59Wq1WUqEDbYi5sVxjqSIhPWMgGAGnFb1MylWacc0/ku2wYZaymMyJTZC5ERIw0luoyxniBJACGQULlgJmRIUaMODOMOHI2pbICi1CxGBwECAwbsJw4QwJmnP31lNE6S7kUjPNSGGx6MsnS8XTCBB8MBlisjtBbrVbTNOXEsJOI6/8lMIhxDlZwv/D+KG5orcMgmM/nvMj8rKqi8/bt27fHx8ee53333Xdff/sNEDV4r0aj0e/3sbUJQA0RYfO44XD4008/ff/991LKp0+fttttkFyMMaSwnPOjo6PDw0P05LlfVGGxK/hOUP9ULG/Fv6yovOpi3aNhRJwxxogznSllNGxRckGcCcYyrZgmJjgnZhiZoiJyi5ILg8avEJExJlMqzTK777M7RTaTxvgtaoM7kcUXgGKEcCd4F9/3S6VSpVJ58uRJpVL58ccfB4NBtVp98eLF3t4elvQYY7gUxhjDiBligjND0kXJ+VafxhDRRrVWCcIJmNIoUlkGGOJJWatW0zQdDofS82q12mg0+vnnny8uLjzP2+q0m61NJDCAf5ubm61WC9wK6D2sviai4XB4fHz8+vXrKIoODw93dnbK5XK/35/NZgC3Usp6vb6/v4/rQaTporSOGcGytcFgcH19PZ/PK5UK6nRoVHa1FvhFa51mWZZlWhmYMCPSxkRJzIUAlQPD4UJYf2uKVjeygBkGx/Kv6FFaK6PRCgJ7AEowbhXPGOw2kjOuWiNeWJtmznJ9BAltjOC8Uq0qrT3fF1KORyPG2IsXL9B+HARBksRJlvrSI0accS6FYPwOHsYBbYI3Q0izHAeyHYzJ8zy/VAJt+8MPPwAuPXv2bGdnx/ZGoa8OVYgkSUajEUIsWJKbm5u3b98eH59tb2+9evXq4OAAq/Mt2VQulx89etRqtbIsi6LIXVNsh4ra0eXl5fn5+XS6KJfLGxsbzWYT/sBeT8WOzBKkNOdMa0OEr/nljMkggIpb5gvSyN0yorXzBfcmMyS4ZFwxIqUVGW5ISs8vV0yxYEsXW225bXVUbHOB8GlzaytdaC2SEcwDwLPv+41GI1ou0ROCVc+GSEhujImSGP1mPDMM/U3Wsdi92BD8sPgE04cCAl57MBigaTaK459++unNmzez2SzLMmwnhBX8jDFtTJpljDFkwHEcY61ZuVxGTgK2IQz9p4dHB3v7lbAcLZZY4gKBVavV7e1tZAX1eh1TbOtoIAvR4Tefz5VSQeCVy+V6vW4L46xYEGdFm6VaCCG5Z5jRJrNMobTd7YiOxVzn/kwbbbTOlGGEIg8RMW2I52GLG5JC4GvSFRmlMpXEkCvmFgCQ5x1CmQZ3rVKpdVZsKYWcWEDTpNCp5p7knmTGVGTNFB051VqtVCoJKblSqVaMSAG1eVJIprVWWt/6gUIvb6fA9gGhkiqEQAEVprxYLD4dH//0009nZ2do1Wy32+hSYAUwCIIgTRLsCQZXfHl5maZpEAS9Xu+XX34hIjSJ1ev1xWLR7XbPzs7QlIoVKe12u1QqzedzJNCy2DLQOMsRgiBoNpuPHj1SSjWbTWyibq+xQS43XMOzLJNCWOyCKBsvI+FJT0jizCjNGBOM23chQdIYLbRhJJyVgzbcmiLxS1TmIO0cBOhiJzAoChBS7ku0EUUTMitWXdooi3hknSj0I2+iUFmiMqVUkqhMq5LgjJHRGpyMhHMzlvLWIEdNuVbd2GxCAFfX136plCm1t7cXlEphGE6m03fv3v3888/dbjczOqiU//u///vo6GhzcxMUgRDCEIES29rawhL8fr9/dXU1Ho8ZY6Ab9/f3/+u//uvJ0SEaaFOVjcdj3/fL5fLe3t7R0VG73UZr7nK5BL9qwyQvGksZY998+21nextovNFoVKrV2Wx2C3CKHZSkEOXA11qTApIS0vO5pMxoUhp+NTPaaDKccUOZ0USkjEaoy7loY6I4VsXSMRvI8pxYcARaa6m5OzV5vwcrGkt0sfUE59zyBAhhi8UCOxnYm1DRY8u5FGLCmIEHXUTLLEs1I2wWQKQX0TKKotV9Q2wmjsaL3t4eFueen5/D2QrOM6VAgpyfny8Wi+ZWa39//+XLl1tbW9iYA/OYZhnW7WJJ79XVFXYYgZGhMvOPf/zj4OAATBiQEdaQ1+v1vb091MwBoEAFy+J7UgFPwOPgZKfTISJ0GuCvOVpmxIkU5V82hFamkuczwaMoitOEGeJSlDxfGa0zFadJvIyU0ZILJjgV90FzqDGGxG2ap++uztNax2m+RQjyaV10s/rSs7K3eN7GWrsfBdQ0iiLLq5iCM0E8ltJXSmVZAuynlEpUprVCFcsYtYyjLMtkkiWuXBFliYg4BeWgubXZGA2iKBrPJqPxME4iIcTV1dVyuSyFofAlT0W5HB4c7DPBFtEiVSkRSSk458ITni9JG8bI82S5HFYqZYTGLMvqjfrjw8f7j/aZYMPxEPZEnDaaG3IuhSeIE3GazqfL5RIih4CDIEB1AWQhUAaAWJZli+WcOIczyF0lZ6TNMo6SKM60CvxSbaPe3GhI35tPZ73+zXg4jpK4HITKaEJaqg0T3BOSFSLURdMvOBZbvbCwSBTLv3BYrt+iXHxDAEqDpqBUgYcB6a1pAtxAxi5VIogJIUhwmwJ5vi8EecYoQx5HeGKCSS6ZRHs7IFIOMZTGU+H9giBQSgVBoNIUX+xuGBOeBwlhuz6lFNIYOGG8f6YVY8wTEl9Ue3NzgxnJ07IwmM1mqFTg0Wma9vt9PBENwL/++ivGgMKqDe1aazzFLlZAwhPHsR8EaIpLksSw2ww7ShOVpJpRWCmXR2WsgoqiSGuN/d5vRkNyWCS3EYkXuZAptlSEcVhL0IwU5dweLxJTi4byjjWRZ4nSIbxAVqBNAi9ljMGyH/hVUEus2IA2J8PJoCrAGEvSNEtjZbQvPS5z305EcjQd6WJBmcmUdR2N+sZsNlsul4vFYjqZQJugrVmhp77vK5PNl7PutTo9P0EWZKM1AgkEAL9kjEqSKMlSIjJMT6ciM1lpUYLYlFLLaKmZTlRiYhOlUV6rN1kS5asxdaITlVCxCQgqiaLY0CRNUxEvwiTkUhAnU0Bi3/O9ss+JCU9yKfwgYIwZQYrddr0Ykxe9UTbAtHLOuSHP8wTjhpFg+ZYMVvbQSFGU6Rljkt2ppfu+78kSFc2UvixZjw2dk8U2btayebELF1JwGKv9unjb1ex5HpFOVMZNjQSVpEeCW1eR72Wfb5tmCEvTPc+LFkukvVLKaqViIRkxhmAQBAF2NCGi5XJ5c3MjhLDreS2Zks9OsfVNkiRJlmqtseDCC0pI4WGvuLPterQZMyu+UMQFHVBB3N8UdS7DSErpFRagtWaCW2JWeFIVONYYozVZDjkIQuTr+K7kUqmEfq5kGUkpIVdEqPwjxhBjotjeJ3eYKm9DQPKaZ1k6/05I5FesYJWtWdvwDPEHvg+aybLcRmmLzkqej5FwKZjRnlakDXEmGOeCDDeaCyKS7e2OMYaZHG6VSqVyKbCLANFYYJE3EfV6PRSBsd8CvkYtiqLZbGbxntVH6yTdcneqMq21F5QweiLSdLu+eDaZ2kKNzWpsBEWAsCm/HRUmSJnc7yFDV0ZnWQZJY2Ccc8kF6ExEH8651mRNhxH3mVB+YBFKPawwBlaxKNBgoYPSigxzuiZUQQW4IZZzjhUVnvAd+YEO0YwZu1KIOd8eyRjLkhTiVEpRscsLF8JobRgZYoYxRoyTAO1oGGOZrefo/wtrNEB1LgJcpgAAAABJRU5ErkJggg=="
a _ { n } = \frac { 1 } { 1 0 }
"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"
B _ { n r 2 3 } = \gamma _ { n r 2 3 } / D o S _ { p n }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABmElEQVR4nO2VTXHkMBCF30yFgCiIgiiIgikoEDQQHAgOBA8EGYIMwYaggfDlIFvzl9k9pGoPW+mT1N3v9a/sA/qZHH+I/yX4BwSXvxK8SZLmc7CSpNO86V0vaf2YsnmFPM3RSxIAQT0AmC6jQFYEstm0j7JkgGwGQABF1gGQLSQN4AcoJn6PJ/jqrXEj6EPUAlAWiMowLBDtC/yyM0e7EdhxVMu203a4ukUYXHMYnCQVICsjIFkwbrfbmh9JY8X3nUpyYWwZRJXtpIiAECHsykV74FpVrdUtXKVrwbxHULTAqKHqxi0wUQ1hlG57YEIjEEfp01nJa6rjneWfRu78rW69uGaQBHaovas1+L331wyyMbcJDK02vOOo6dJJktdZki5T97TOp3iZb+6rbFtxozedzUe9TEGqLFt6q5U0rZ+9PZ117nVweaNc30crSXOQbr6JQO58l+7GETRAJ1dadUnyeRtPQryUuom1MwtQ9LjaYd/E76XYe0B05d4hK/2R4PE1pidze40vGfyr9wT0PgEcfn8s/wPBFz2w3/UC7L1jAAAAAElFTkSuQmCC"
\Delta T ( x , t )
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"
\begin{array} { r } { E ^ { e c h o } ( x , t ) = A _ { 1 } A _ { 2 } \frac { \pi e ^ { 3 } k _ { 1 } \tau v _ { F } } { 2 \varepsilon _ { 0 } \varepsilon _ { k _ { 3 } } } f _ { 0 } ( 0 ) \times } \\ { \times \sin k _ { 3 } x ~ \frac { J _ { 2 } ( v _ { F } ( k _ { 3 } t - k _ { 2 } \tau ) ) } { v _ { F } ( k _ { 3 } t - k _ { 2 } \tau ) } . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABB0lEQVR4nO2VwXGDMBBFHx4aUAtyCaQEUQJpwSVACU4JpIRQApSASoASoISfg2GMEpNR4ksO/NMedh/7/2qGRDyn05PzB+D/AboqTy5xc2PTPQAYOmzEtM+T8+sCQIEMrWI0WMpb9SWDGRflwBZrdQf4jkgHgRbAfEleqqTyZH8D+PN7OfWi+v0GSNJguEqSHB/3oNqwMUy3XENMAd5mVwLQbS3YMgDs7SZpYPlwj4k64naDE9BB8X2BSKXAuB6/CQCzDzozswtY1fjAqM+DzvbxE0uBjBHAV3bcArLwDHvuJCmjlGrbW66q65gMJ0t2q5CkyQFFrxrWcH9U7wxgnSQlx3/hAACf7+4uTZYsRJcAAAAASUVORK5CYII="
d = 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnElEQVR4nO3SQRXCMAwG4H88FGwWUgurhmooFloNw0KRgIfVAq0EhgRaC+HCYz1kcOO0/5SXfC+5pGN8z+HHfAcCiBHRl20QpxhKzNvA6GpPPTB5U0SANA6oFCiYiwyyx9KrPEAlERQCzgELgLp2j82ChyenAQBKBMk5BUAXFGoO8yf2yszM93G2z7XbALq9i5lZBJaldPvT/gu8AOcLfP+RyWuTAAAAAElFTkSuQmCC"
p _ { 0 }
"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"
p _ { 0 }
"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"
P _ { c o u p l i n g } = | b ( + \infin ) | ^ { 2 }
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"
\partial _ { t } ^ { ( 2 ) } \rho u _ { \alpha } + \partial _ { \beta } \tau \left ( \partial _ { t } ^ { ( 1 ) } \Pi _ { \alpha \beta } ^ { \mathrm { e q } } + \partial _ { \gamma } \Pi _ { \alpha \beta \gamma } ^ { \mathrm { e q } } \right ) + \partial _ { \beta } \tau \left ( \sum _ { i } c _ { i , \alpha } c _ { i , \beta } \Psi _ { i } ^ { ( 1 ) } \right ) = 0 .
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"
\begin{array} { r l r l } { v _ { 1 } } & { = \sqrt { 2 ( p _ { 1 } + p _ { 1 } ^ { * } ) } \cos ( q _ { 1 } ) ~ , \quad } & { Y _ { 2 } } & { = \sqrt { 2 J _ { 2 } } \cos ( \vartheta _ { 2 } ) ~ , } \\ { u _ { 1 } } & { = \sqrt { 2 ( p _ { 1 } + p _ { 1 } ^ { * } ) } \sin ( q _ { 1 } ) ~ , \quad } & { X _ { 2 } } & { = \sqrt { 2 J _ { 2 } } \sin ( \vartheta _ { 2 } ) ~ , } \end{array}
"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"
n _ { \mathrm { s t a b } } < n _ { \mathrm { m a x } }
"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"
y = 0 . 1
"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"
I ( t ) = f _ { r 1 } k _ { r 1 } e ^ { - k _ { r 1 } t } + f _ { e 1 } ( k _ { r 1 } + k _ { e } ) e ^ { - ( k _ { r 1 } + k _ { e } ) t } + f _ { r 2 } k _ { r 2 } e ^ { - k _ { r 2 } t } + f _ { e 2 } ( k _ { r 2 } + k _ { e } ) e ^ { - ( k _ { r 2 } + k _ { e } ) t } \quad ,
"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"
N _ { s } = 2 ^ { 1 6 }
"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"
R M S E = \{ \sum _ { i = 1 } ^ { n } ( \tan { \gamma _ { G S , i } } - \tan { \gamma _ { m , i } } ) ^ { 2 } / n \} ^ { 0 . 5 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAS0lEQVR4nGP8z4AfMBGQH1UwcAry8CuYxHCb4SSqAkaU6J50ikHo3RJUFf9RwEQGj1uoIqgKVBbn3jLDp+D/fzTp//8ZR5Pc0FEAAJP+YrB1oum6AAAAAElFTkSuQmCC"
^ \ast
"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"
a \ge \frac 1 2 \operatorname* { m i n } ( b , c )
"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"
\hat { B } _ { n m } ( \omega ) = - { \frac { 2 \coth ( { \frac { \omega } { 2 } } ) \sinh \Bigl ( { \frac { n \omega } { 2 } } \Bigr ) \sinh \Bigl ( { \frac { m \omega } { 2 } } \Bigr ) } { \sinh ( { \frac { \nu \omega } { 2 } } ) } } .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAgklEQVR4nO2SQRHDMAwEL2VgCqIgCsZiDIHQQkgguBAcCBYEm4IhXJ/Vx8mrM33kXprVzugeWojzPC72t/AbYe/oKzBeHvKbJ2pOYEke+pkh16K5FnHMnzhC0GOIWpx0MI3oUWE66ZA2UioZ2qSDNDaQRbzgTwyBRcDG28Hl/sm/ET4Af4IcM2W2vwAAAABJRU5ErkJggg=="
m
"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"
D ^ { ( k ) } ( y , t )
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GvxMAOOuBompTwDbWe8L32B7BL4OpkeKNfiOlZhUFAOcMDlOny+s2sh1CCOIky7swDMnbfj+5uLjo97tkXZrm/X4fEScmJur1qlIKlWb51kGQZRm49xlTHIRhGObOOueUEtYaztQQiwyOnQwiEL3Ha8IwVErx1ibJQAgcDPppmsRBxMVzxhe8H1VP39uoQoLJo0ehJABYa5SQ3hmlBCIN+t1QyfHxMa1UIIWQgA7JewDvvFNCgmMHVSwlImohhJLkPHhH5Dhdl1IKJbz3UrGMOTYUApGs00oCgLF5qPTx+dnu7k67eVEul6M4HG80xur1g4MDk+eccjYvzhjMqpar1Wq11+uZPG9enL1+vbO/v392ft7p9PI8v7F588bNm2EYT85MVys1HQZRFDkg5x3bpl7a397efrW9fX5xarLcemOtzfO02+9pLb0l6/K52YW79z64dm1DaKUFEqHxTkqZpj4MQ0SFw+qmVEjkOH0Q7L3QS6kECqYasQRyzj5ymUQUBIHJ8lAHgdIErt9vd7qdZrN5enqcJIm1No7jUqkyMT65sLAghZBCjBLwwWDw9OljIhobG1tfvyqE8GS98QAQBNJ775EqlYpWmA6SQEdxHKZpigJbrZbWElH2u+0s6S8tzPW77e3nT5tn59bam7fuaKX4Koqt2kju6ZKvvqw2o18KIbzlgpnI89x7HwWaTakx5ujo6OTkJAiC9fX1a9euVatVcYmaJaXsdrvb29vb29vHx8dsg3l9CxkSIoyjWq02MzMzOzs7PT1dH6vxhZglAkOOhnOuQNaArLWsSFrpUaqfpmme5+VyefRoQzT+0kNdQgpGCjNifw3DBHc50IAhhvqLOkXxHuCMg5RS1uatZvPFi2ePHj3odrvoyRgzGKRCiNnZ6cnJSTaIQVwql6vVanV8fDyQireEiLyjfr+vlPLkbW78sLijtc7zvICBpHREnplDw/I7EbVaLefcxMT49PR0mqb9ft/bwoA655z3vIYcMw+dT/EzSkFEAopkW2vpnZdI3hlBvlIpTYzVK3HE4bRWwxDPE4ih2BBwWOGxgDyCIGi32wcHB9VqdW5hXgjBhUYEdDBK4hjJ8kEQAJKxqffW5Gnz7DzLsvX19YWFBXJUr9fPzs7yPOfrRlFULpeNMVme7Dzc2d7ePjs9brfbZ2dn/X4/COPr16/funV7fX29MT6ZZVnufBgGSgfWWgfEXl0Isf302U8//fj0ySNjzERjLAgCEBSG4dTMZK/X6/d6vV6++26n3Wk6527duSuFjsulbNDPsiwIwzzPBbhRVCuGWCLRkEdzySGxfPJGjwJGDlha7ebRwWGWJb1+p9k8v7g4Ozs/PTs76Xbb1towDPPcTk5O/v73/7SwsMDGXaLI87xUKh0fH798+XJvb299/erUdKPRaCgReAfeeynROcpyg9QrRVpKaWwGiWfQ4OnTx6VS6YMPPlhYmFtZWYmiyHv/7NkzY8zs7DQN4RUp5c9Kp5dd5S/87WVn6wHJO94qBodASImwu7v76s2OI9jc3Pzss89WV1cRMcsyMeRKGWOazearV6++/fbbdrutlIrjWGvNZREu7WZ5iohjY2PXr1+/ffu2VjIMQynAW+OBpJSeCu0ViN4aJJAoUGnvvXXGWutdUfsJw5CjgNxaJvk5a0HI0SN78r94/L81jkReCMlsupFRGIVdQ3y7MC7OewmIgqSUxuS9Xu/k5OTk8IgfrdPp5EkmtO71Oi9fvuyniRCiUWtUq9VKpTI9PV0ul6vVaqM+XiqVtNYeKMuyJEkmJiaicgmQoihEECLQzjlHjgVRADjv5JAIl+eZRIjiqN/tvnn1ChGnpqaq1aq1Nh0kl4NecYnSMnocpQo7AgDeOh1Ia40QQgJ5Z6MwqFarcRwjkrW5AwQQ/MlCeHxBukJEIHLWqUAS0c7Ozg8//LC8vDw23ghLsfdeKMmIb2HBR4wv5wm8lspZc3Z20ut369XK/OxctVyx1nF0eXFx0ev16vV6tVrJsuynnx48f/58791Bs9kkbzk5KpXizZs3f/e7301OTAshjM3CSPvMAHghkQAEoHNWCYECyuXSysoKgq/VasuLC2dnZ2/evpYK/8Pvf++9Pz09efbs2atXr3q93l//+tfTi/Pf/vYfwzgIQ41IUaidc+i9t/kwQFOEQOS8B/IkAIVEiQIBBSACEhESeOuklFoq7z0S9Drdp4+f/PXLr3Z3d7I88d4mSV9pGQRKB7JSKgH4VvO8LaQEFARUbBySpTAO4jAqRXGv0z06PGxdNKcmJp0z/d4gTfNkkO3vH7aa3UqldPPG1cX5uSAItBRZkj/86ccvvvhicXFxbfVKdaFSKZcGg8Hp8VGn1Zydnb1za+uyd3zP/6W/l5zTz18A4Jzx3pfjyDk3GAyyLEvTNI7jSil+8uTJ7u7u+Pj4nTt3lpaWwjBM03QU3wohGKSs1Wrj4+NMArl+/fq1a9fiOGazkmXZIOnvDF+rq6vMY2EeFDkPKDySEhIQvDXWFhSswWDw9u3bnZ2ddrstUFYqlaWlpfn5+SzLKpUKfzmHef6STbxc1hpZDfo50jmq14zSKPc3xPNRgUYKjcQcYSuEqtVq6+vrk40xIjo9Pf3hhx/Oz5tzc3PLy4sy0CzxJjXNZvPw8PDx48dSyomJiUZ9fGJiYmZmZnJy8vT09Pj05NatW6urq0oqYwyzB4QQ3noE8EBs8bmiJIf0h5OTk8ePH+/t7Qkhtra2Njc3a7VaGIYcPhRJ2aVIbZS7jaI87533XqG06JVQQD5JEkQMA62VEATWO6aLSK6WesKCnAUC3rNcAMAYc3Bw8Pr160ql4pzTQuZuWFoGX1hggeA8+0nrjA5wMOgd7u2ng6Rer09OTtZqtXa7AwBhGCZJwvnmxcXF3t7eN998c3R0NFYfv3nz5vLSgrXmr3/9KwCMjY3FcczJfFQSQRCwewMArTUhGmPY/6+tX5ufn+/cvlWtVuMw+OMf/3hxcZGbNAzD1dXV69c3giDI8/zk5KTZPP/p++7S0oqUsj42FgSBlDIIgmyQcYxWxNGOLDj0JECP1uHyi2WJ2WJElGVZp9M5PjrZ399vNpuVaml1dW16enJ2bmZioqEDKSV+8803f+32+Yk8F3w9OHBCiEE/qVarN27ceLPz6uLiotlsZllydnb24MGjw8Pjfi/pdHqBjpeWFq6uLfIWK6XSND07O1NKra2tBUFQLpf7/f4f//jHL7/8cmJi4je/+c3q6mrm0BNxKKdGRuFvn+dvDQcrFYNJHL/V6/VqtXpxcfFoZ+fx02dRFG1tbW1sbARBkKapcy4MQ7wE50xOTn7wwQf8136/Pzs7+9FHH0VRxFrqnCNn37x59V+y9OTkpHl2SvYaSM8WSkopkYRWkQ6SPOt22t5BvV5H7/b29v7H//gfOzs7YRhmad45O6uMjy8sLIyPj9+6devq1asM+NGlEh1XXt6HS8MYAS4hOJfXJAgCToiYoq+UKpVKOCwbc9oJACglWeedVUqUy+W1tTV1da3ZbOZ5HgTBxPTUrTu3b9++PTU1laZpr9c7PTo+OTm5uLg4Pz8f9Pqdduf06FhrXa1WG+Pj7Xa7XC6vra6kg36pVEIgQZJjHImklMys8dZ47wViFOjj4+Pvvvvu+fPnZ2dn5Nzk9PTa2rV6tVaOS1oq8jACXC6XkGlY4RNCcIeFQmHBFZGVdYayNE0H/a5WItTBMCkTWkjjONzjSI3kMGXzREoprt0OBoNer0dEYRhGQRgEAVlAQZcjdKWUy12gtTM+N1aFYb/TPT07SZL+lSsr4+PjiFiv1xcXlo8OT9rt9sXFxZUrV6QUjUbj5s0bt2/fXlxYrlQqgZanp6cvXmwLIRpjE3FUduTL1QoRttttlFqHAQgphPCehJDoCRG1lqHSSqISstfr7O3tnZ6czM/PB0Fwfn5eKpWuXVsPw/C7777b2XnbHwwePvyp0aiXKrEQIrcuCALvbZZlCCCjqGD5OEcA3hd4BFs3IYRASUPi0zCaU1LKqampe/fu1ev1qenJSqVUqZbGxipRHGothQBr7eOnz1HqsBQHcZQ7a60PdEmg1JHu9XqhCubn5ycmJvr9/vn5OVuui4uLw8PDeq1x9+7d5aUr8/Oz87NTlWqJiDJjD46OT88vGhOT1zauz8zNHx6ffPPNN1999VUcx/+X//1//+STT6wH9Ohd4WB+Blj83dcIvxiG5VSv1weDwWAwCJRk+7S7u/vnP/85y7L79+/fvXt3cnKSvRbr28jdCSHK5fLY2Ji19u3btw8ePOj1etx1xpIqJALIRqNRqVT29/cZ1AkjzVBzqVTq9/v9ft+VShynxHHsvU+SJAzDra2thYUF51wySK21BwcHr169evHixaNHj+7evfu73/2O06LeIBmF3IRyBM3QpTo5XSoNFJop5ai0yakmACRJ0mq1AKDRaIRhyC5UICqlCBCx8GAKodPp7O7uEtH6+vqdO3dmZmaUUjoM6o2xpfkFDtCI6OTo+Msvv9x+8aLb6dTr9X6v1+l0VlZWFhcXgyDgrLXb7SqltC5gY4UCtOKa2bt37/7t3/7txYsXrFcffPDB/fv3q9U6P4i1Vgo1CpFGyRQ/4Ch/ZgTEWmudFQKEEIIgS5Nep9vr9SpxSSok5zyRc+SF1GFZCIHgiQg9wZBlxwaUSR/Hx8eschMTE0EQCAQtJbtENjrgoVBaIY33nJ+madput4MgKJWjKAr6/T55EUURIqZpyrpH5KemphqNRqlUiqNKv9/vdbvOuZOTs5WVlbW1NaVUp9OJ47haracmR1moqDEmt46IAqmIKEuTWrlCHgmJcehSXFlcXKyUa4DeWhsEwbVr63EcZ1n+/PnzXruDiFxMEaKg23rvZVE6pVGpG8EDFBA+I2tSKBaMIAhGATsilkqltbW169evz8zMeHL9QTtJ+oOkm2WJECCl7Pf7QohabaxeGxNCeZ9LKZ11pVKlVhM6UNbaKIrCUA8GPRSwuLRw//79q1fXJ8anlhZXq9U6gI9CNYprOp2OtXZpaWl6errVan3xxRc//vjj2NjYP/7jP25tbQFAr9cLwsoo51D/swTkFwHFyHCIIa/LGFMqlVqd7rMnjx8+fNjpdG7cuLG1tdVoNLhEx/LN3BguoHLCqZQql8u1Wo2IkiQZDAYjVhWBVyjyPHfe6EDGpTAIlURhrUXpncnPT8+SJJmcnETE0+OTiYmJymwNAK4s165dWWNgotPrs4C+ePHi8ePHjx88ePLkyd27d/M8t9YKqUYlT8L3hnIUR1y2FIhY8DURnTfOOeddEAQc2b5+/frBgwelUunevXtzc3NiiBogklKKwAqtEandae0fHbZanfHxyfX16zMzc6qoHDulEIHK5XKlVLbWnhwdD+1jFEWRlLJaKU1ONEpxGAaqnwwocxKFElIipCYf1d7yLFNK5ekgT9KJscbGxsba2tryymKtOuZRcKhsjPHWBlpzAkJE3KjHVmNU3vbWIaJFY61VSiBiGIYZWWutBKzVakU6g+gcWUDnHFhDzo74y1ydEUDgHaAcJP2ddzvtXnt2bmZxaYGFAQXCsD9QgPBIzjoptXMEJEIdZEl6fnaSJYOJ8bErK6uVSuX7779/9nS7UqnEcRxF0cnJSbfbLZXiEcHfuz4ABGH4/Q8/DZKsVm9IqYMgqkpFRMZRFJY8oHNERcEyICLrLVnH6VMQBJ5su93udrthGE5PT3M4KYRgspbWAT/+1atXGo06O8Iw1N57k1km0GaZI3JxHKMg8O+r/jBktXBIzrW/kaNicAoRx8cnT09PnbcAHhAESuNMnps8z9vtLhHWarVKpSalDgIQQg2yvtZpHIflcjlNU64DJElydnZ29erVjY0NKXUUlsKg5D0YYyw5bwtv4QgdYT/Jtl+9efz48cXFxcLSykcffXTn7l2Ust3tS6m994hFjeLv8yz+Fy8mUwRBUKlUjDHPnj3705/+1Ov1FhYWPvzww8XFRaVUt9utVCpKqSzLRo0hrGPtdjtNUxwCn1EU8X7wmiqttUClFBcK8jzv9Xo2KOpY7Xb7u+9+MMYsLi5aa/ff7V2/sVkfGyci54gdbxzHRJTn+fz8/NTUVLPZfPfu3fz8/OTkJEfC9cb4qAQzsgujwIouETERJQAhCBRFG0+SJACg4kAI0Wq1Xr58+eDBg+Xl5bt37/J+A0AQKuc8ogP0URhYm5+fn+/u7vaSwfri+sJCoS3lctlam2YDIRQRpUm6+27n+x++PTjcI3Krqyv1er3f78/NzV27do0zbS2VCnQyyFqtFi9XFJWMc0rIcrncbrb29/e7ndb07Mz9jz5au3YFANI0dbkxnjCOtNYe3Cj7GJWNmNsLQ6J9EAQoILfGe+scOlu0UbcuzpKkL4SQgLlJHZfqlTY2c84BAzpCOCCOEYhIaw2E7Xb75Pg0iqKrV6/OzMxIKb0jpaSwwA3ySATOIyoByJsIZPcP9vb39xElwz3Pnm8fH58uLS3Pzsy/fv2aKZtRFEVRNHwcReSUDAaDQb/fbzQas7OzcRx3u10PFIZhNkh0FHrrpZJaBd77UUIaBIGWqjdIymHY66eHh4dpmtbr9bnZBa01+/NyJe52u/v7+wcHB/V6fX19fWp8Is1yrbW3jutTHCMzeMRNWUAuN07K9wMZBEoxZBizj2SkGYfdQK1WK4oCrTUKznzBOhPH4cuXr7PM1Gq1+bmFOC4P+qlSAX8tInY6ndxkQojr168fHx+22+3BYEBEURQEQURe5CaTItBaC6mcMxwrVavVIAh2d3dPT0+r1erq6urHH3985cqVMAzZhaOUxvkhARSUBxJSXC4HFkEUwaii5i+z9LxHgmq50u/3v/3mm2+++ebiorW1tXXv3r2FhSXuma9UaoiYJFmaprVaDZACCLIs47xdKdVqtXq9XhRF9Xo9CIK4FPlht6gS6Gw+6PWdsaEOvHW7B29fvXqV5UkQBO3Wxd7e3tu3b3iV169vAEAYxmLYg8y9hqVSieu4jx49Ghsb++STT5aXl5MkSZJECNHrDTiX1sOkQwjBsxXcsO+rQDcQyTsBQqswz3OBioiiqNTr9d++fff48VOlgvn5RS5ecNCkVSiEcXkWhEpKmef+6Ojo+Pg4ioK1a1cqtXJusyiKglDlJrXWhoEC8Hv7u19//deHDx8aY27euHHnzp1uu/3D9z/WK1WFgpx11uZZdnZ2enx8cnh4eHp6miSJ1uHE5OT1jY2l5eU06e+/2y2Xos2N9Wq5lCUDY4wQSgqwJkOkKCpB0acjUEoCj1Iq75FIInL5WSkllSjq0FpLAUmSaIHW2na7KQVMjI+V4lAjmDxzCNJ7JQP2lM45wf0IQjjvEUVuXdIdbL94eXR0MjMztbJ6JYxiDwg4ZCp5ECi85ZqI8MY7R0g+joLT47PWRdtbf3J80et9r1W4uLj46ceflMvli+YZoM+yzFpLBNY6ISSXD7137U6z3WkqJYJAWZtLKUtRCQQmg6wxOdHrDdgsSiktOSGEwtBaa8lqrbXWzPgiotnZ2anpCZZJqdCY/O2bNz/99KP3fuP69atXrxKRBIoDnSSJN3mgtYhCY4y1SN712i2tdRBEgZLOWgACDy63KIUMpEJFhM4RwPvpLcNAA8/Pz4MgcD6vVEveW+escy5L80E/iaNSrTamtQ5DklIHOhRCMYiWpmkURdVqFRGNyfM811oLlN57ICGlskz31MoDBUoLIeYXlz791ee7u7uIePPmzaWlpcXFRa7NSx0wvJLbzA0buBX8vByAw/IVXkpoOYlXQhiTKSFR+8PDw4cPf/rjH//U6bQ++ujj3/zm86tX143JBoMkjsM4LqXpwFrLtJMg1HmWcEDBTpIjPU6tozgcNQIakxlr2E5rrXu93g8//LD9/EWSJCurS1evXl1eXk7T9M3OThzHi4uLlUrFWZtR9t6WEQmliejx48f/+q//miTJjRs3rl+/rrVuNpvMWQLwUso8T8OwnOeplBoAhAQAcMZ6RCFU0b0Cgs0Qw+9a6zAMLy4u3r59++TJk4ODg/v379+6davRaOCw880YA1iM+WH8/PDwMM/zlZWVhYWFer3ODrzT6eR5rqWyNt/f33/69Onh4WG1Wr169crH9+9PTU395c9/sc6w7ecS7LNnz3Z3d8+bLXYa3vs8zWfm5iYnJsbHx/f3989OTycnJ9euXKnWynmWAaLWUqIyzgohvLeASghBCM474J5FDkeHpEMaEu1zm3lvHaK1aRiXTJ5y0FGOwjgOhRBKiSzNzputfmLDqDQxMcVMAeeccTYMQ29pMBg8evTo0aMnUsq5ubl6vS6lNMYikuCavScgQvKIgvvNbO6tpyxzh4eHJ8dnaZY458Ig/uyzz9bX1xcWFgeDAUedvV7v4uKCO1BHLGEi6na7jGFVqqVqtcrv39vbOzk911rrKFZKCamstUoXjVFhGNo8I2cBdbvdPjjYE0KsrC5VazXmuQkJu7tvHz16dHFxsba29vnnn9dqtTRNozAUiFma5nkeBoEUQoQhB9ScbkiJzrlmq9nt9E9Pz4+PT+q1xgcffLC6uuoKz+tH0DKH+kIoa30YohDKO+BbNbnt9/u9Xm9sbDyO40BHJnfOei/9aF4MDnnMSqk0HWRZ5ofNwd6TtZZZsya3QgrGnmdnZ6MounPnThAEpVKpVCoppVj7iiZPQqUUd6kBgAJPgCBGtW7mvBM5m4dBUFQQBObWEIpAaWOy5vnZt99+95e/fJVl+d3bW599cn9hblYJEFrlAtJBH4nyLFUCK5V6bzAY9BMOSkeUodevX7darWq1WqtXh+2kBbPVe99snnc6rSTpb794lmWZlPLjjz/++OOPx8fHz8/PHz169OrVq0G/HwZBGIbGGLQWAEqlUhCWEDGzptlsvnnz5t27d//0f/rn+/fvNybG290Oz5bw3gaBQiStZdLvCQHGOillmudhHBWVf3LknAAg57gN2WQ5IkoVpNngxYtnP/300+HhwczM1O3bt2Znp/m2GTSSCr1HBHTGZkl/983Owbu9Wq12/fr18bGGM8UoESSIw8hm+evXOw8f/Li7u6u1vnbt2r17966tXT0/P2+225kxxuYvX20fHBy8ffv2rHlWrzWWl5ejKMqy7Pj4uN9P5ufnx8bGut3u6empEGJicjIulXQQiCHtikeEMNjmwYEoRsJILvoOTSxKqYQwxhB4KWUoQwCNAMZQFEXdDlhrhdTNTvfNm7dpkrc67cPj02anYzw2xic/uf/xwsKCyTMhhBLSGcvKvL39vNfrbG5uXl27EkehyTMlNQAicSsKIBZjNchbHQSyFHmyF+cnBwd7vX4nioKbN2/cuXNnc3OTja+1tlqtGmPSNGWhwmG7N5v1k5OTTqdzfeNGFJaazebJyUmz/fiHH37odQeDweCTX31urRVAKJCtP9lCaUOtjDHHx8dnZ2djY2ON8clKpWZMFpXinTevvvrqq9c7b6anpz/88MP1a1f7/YGSUgjRbrdfvXrlnBsfH+fkiJOCwWDAIXmn2z85Oeu0e6en551O99atWxs3No13zpkRY22EnXNOUa1Ww1A7b4NAAXpjMM/t4eGhMabRaHDsoJTiXocgCLz3QkgdKK11qVSK47jTaTEAbMlKiQxPIQhrLaEnocj5zCQAUBtrTGgthrhskuVcJUUCZ521VghFw3lRyhcDv9gCeSKSBB7AWuuMDYIgjqJeu2NMGpWqWZ6cnZ786U9/evr0KRF9+uknn3zyyczMjNbae5fneRSFiBGnxEEQaK2iKDo7O2OvwprP/HMiWrt6ZWxsTEoslaIkSbz3oZbnze7Lly9PTk4AQCs1MzNz79693/zmN2xTeE0ZyIyiKI6CcjnWOmTAVUgppd559frr777dfvFyampqc3Nzfn6+VCplWVYul0fZXRyVPDmtlScnBeZ5qrTMs0EQBISARByqmaJfVnrvoygKo2hvb+/NzqsXL16MjY39wz/8w/Xr17kiw25BSkng0DspZG6yZrO5s7PTbDZv3bp1dfWKUso5z/xuIkp6/bdv3z5++OjNmzdBENy4cX1ra2txcUFrfX5+3mq1rLUvX758/PhxmqaVSuXmzZtbW1tLi6vW2i+//PLJkyfj45NLS0vj4+NcOKjX6/Pz85wQ4bAl1xkvlBRSeCDyQB64Sd9fGrjGwtfv9/f397M8nZ6erjdqWhfdbt1er9nq5M5rrfcPDg4OD3u9QS8ZnF+0hFRxpV6u1GQBezsGHay1rVbr+Ytn5+fn0zNT19avTk1NsUpbZ7TWUiJT2yUKL4AIhERjMiEUkTs83B8MBohULpfW1tbW19fjODbGGGNZl6SUvV5PDrs2gyDgaCvLslarJaVsNptff/01GwuU6uz0NI4r/BHW4fc/CAngAyW1lkeHh7u7O4g4NTU1OTkplEQvDg4Ovvn2++3tl43G+P37969fv87CVqvV+v3+6enpo0eP2u32KA9VSiVJ0u/3eZc73b6UsjE2NTk5vrCweP369YmJCRgOWxyBDqN/sywLw1ApIQiFQE4B2u324eGhlHJ8fLxcrnLiHEUaAIKgGFDE4YDWOopKWofWOPJAAhGlkNJ7kCIghCAIQBYlWxzWudM05WhoBMf60VgJYHsARKQk2wgOhJAQPDnwzgVK1qvVLMs6rQskqFXKnVbrp59+/O6777ZfPp+Zmfng44/u3LmzdmWlVCo55wAoSwdRFAGPlhNCSby4uGh1ukRorbe2YLleXFy0Wq24FG1sbExOTvLNoSClJCIdHx+fnpyQ91rriYmJO3fu3Lm1RdaluSEik2Z5ktJwyKLWOlC63+t6IK01ebv9+vV//+///cmTJ4srq7///e83rq87Z5k3zRVBrWRjbDJJsrOzc3AgJe7t7X377benp6fT09P/6T/9p/p4A5zPrDGZ8whhEDtnhYA8Tzud1ounT96+fSMVbt7YuLV1o1SOsizVKhyVzQOljHdRFDVbZ8+ePTvcP6jXaleuXGk0Gs4570lriYLa7fb28xdPnjw5Pj6tVCrr6+tbt28uLy4ppfr9XqvV6g+6g6Q3SHpTU1M3b99cX19fXl6uVCp77w6//fbb58+f1+v1jevXr29uzs3Nfffdd4dHR9VqdWxsrFKpcGWxXC5rrRPKWCCK4RdAPKDFGiOlDJQedWe9ebvz1Vdf7R/sLS0trawsRVEgELvdZp6kzYvz05Oj0RgBKfTU9Ozy6tXG5IT3YmVlZWp8QhAEUqRpmjlrrb04O33zclsJ3Li6tjQ/Vy3FAEDeDQYDWanIICJi7q8G8t6RkoH3DgmyPN3Zed3uNK01k5OT6+vr3CXAQHipVKrX6xMTE/v7+1z547ICW6I8zzvtXqAj7/2DBw/6SVoulxdnZjc2NuqNies3b7BBd+TZteR5Fkg9aiM6ODg4PDxsNBorq0u1WgXAW+u//eH77devGuPjH3744c1bW1EUMz5SKpUYMk/TdPvFC6X1CMUMwzAIgjAMoqg0MTk9PT197ermzMyMUmEQBHEcOme4Vo0CUAAgEXjnuN7MNHAJw7GmXA1ot7thGMdxWQjBuh3omKH9AlgkYic6yiUBgM0HeZRSKBmAQGtza4sxVKO5m4wYjC7HSC3TtAb9fJTgF8k5G0UpBQBwN6hEOj09DZSulsu9Xm9v993r169//PHH/YN3i4uLn3322YcffhhFUafTybKMrzSqBgFAs9l8/PjxweFxkqRbdz5gGkK9XmXGSLvTqlarExONcjkmcFmWS4lBoJpn569eveLC+OTk5O3bt+/evbu4sMiQQZqmzWZzMBhwQhWGYbVaBYDBYBCVYqXU27dv/+2//ZefHjyanp7+9a9/vbW1FZdKaZpeXFxwZDE5NYHkDw8P//CHP7RarU6z5bw5PT1tHh+D1knaR0Gd1gURjY2NOeeEx16vo7Uen5y6uLh4/OTRl19+2e517969e/PmTY45jTH0nvM9Akfp4ODgyaPHzrnbd26trqwMo2XBzaCvXr368ccfz8/Pq9X63bt3Nzc3x8ZqUmrn7GAwaLfbrAYrKyuff/751atXS6WStXZvb+/LL//6+PFjpdRHH3306WefNxqNVqu1t7cXRdHS0lIURb1ejyMFdg4Fz53HsEiJREWDkxCj4NN7b4f0il6n8+rVq4ODPWMyIOecKUWhcw68C8NwY3199crVOI6rtboMdBSVvId6ve5zz0TeWq3W6/X29vZev37Z7XavXLnCedNwlo0jcEnaty51ziEBl/qMcaVSJY5j8HRwePp29835+WmWJp5sHMflcrnX6wkhiIBR2Fqt1ul0Tk9PL8d0LOWsJHfv3t3b22t1uvfu3fv000+r1Wo/yRhBAwA/HF+olAIgIA9AgNBqXVxcnK0sLy8uLUWlGAB+ePDT48dP0zS9f//+vfsfVeKSsZYbFIwxWoUTExPXrm6cnp4qGYxPFITORqMxPj4ex1EQRnFcrtfr9dqE1tp7sLYomkRRJJUoei64XXU4SU8IUErlSaZ14D0SoRCi2WxWKpWxsTFETNPUWq9UMRRJKWWt4By/GMw5nOQyRCQRgbFt9Ah+OChXDGd5MLw6KhE65zgZ8T/vgVI8l4rncgx5llYIkEIGQeCMOTo62n7x4ttvv3779i0RrVxZ/c1vfrOxscHqxNAIPwyDiJxlbG9vn56eTkxOT05ORVHEZkwp1W63T06PiYj9JCLaomKn+/3+q1fbb3ff9Hqdcjm+dm1ta2tramoqz3MYMpG5uq6FLpfKlXINSPT6nSBUeZY8fvTgm2+/3d/fv7G58dnnv1q/fl0I4A40HYUy0EEYWmub52cvtp/9+Yt/752fAxEoNTY+Mbu4EEXR2NhYpRRzd5yWQgm0niygkLD/bvfRo0d//NMXp6fnW1tbv/3Nr5dWVpMkyfM0jsMwjJMkaV60tdbVckzksjTZ3d3t9/vLy4uFqudOa53lyenp6fb29rNnz05PTiYnJ2/f+eD27btjY2N5nhpjgkB573u9nnNuZmbm448/2tzcAIGn5ydvd949evToxYtXQRjcvn37gw/v1et17z2XlqSUS0tLzAJg9trZ2VkQBPV6Q2uNXNQU0iMoV6AUQinBDV3eS/JhGMaVcsDVtiiqVsthoLSW5Tg6Pj7mwHv1ytXNGze11iAVACgVkHXkyZMF9EDOWX9+dvLk8cM3b940xsY21q9OTjSczU+Pz1utVrfb5SoGAHiyLK9ZllnjFxcXFxeXtdZPnz/qdFoTE+PW5UdHR//tv/23ra3bs7OzpVJZCJEkCXlEkAJVv5d4B+TRmmJUlDGm0+v2Bn2h9L/8H//X6enpTqfDBXWhgiRJGLUHwCAInHNxGIJ3gF4L2WpdHBzs5SYdn2w0xuvGZK9fv/vLX750ZK+uX7t1e2tyeqbX6SIIFCo3zlivgrAxPnn77gf1xlioo2q1HEQhMy/YMBFRGMYgRWZMP0142B8Tt6wzoQoBgMghamAcC2k0NBKH45eVUgcHR3luZ2fHZ2Zm4jhWMogiphlI47yUUvmQTOaBpFZxqaQCbZzNTC514AmFUFII79i0vHdp3o/Mk2ATNiLdcJSUpqlUUQErESl+B/tqj8Uk0lAHcRg2mxcvnj1/+PDh253XJycn5XJ5Y2Pj5tatxcXFPM8vLi7Y5LCwtlqt4+Pj169fn52dAcD4+PiVK1fWrq6vrV0N4zInSEmSHB0dnZ2dxXG8sXGtVqsBeq4GK6V2d3devnx5fn4upZydnd3Y2Jibm1NKJb0+G+xWq/XixYuLi4tKpVatVpm3F4QqTdMXL1784Q9/2H33bnNz8/e//w+bm5tKh51+zzhfrVaZW22tTbKMiBqNRq1WK5VKQRBcu3bt+vq1yclJ59z5+TkHukwPlVISuTgIHdBPD3749ttvz87ONjbWf/3rXzPxjEPQIAiOjt4+ePDg5Pjs7t27H9zZ8h5Ozk6Pjo7iOF5eXp6anAnDUArdarXevHmzvb39+vXrJEnmZmdvbN66cePWzMyMMQZAKKmklL1e/+joqNvtVqvlyclJ7/3u7rvXr1+/frVzcXExMzNz7dq127dvz8/PewfW2k6nMyK2cHn41atXr1696vf7q6urN29uCSXDIORZ+ZcmOwkacf6ViuN4em722rVr05MT1Wp5YmKiVi+FWimlvDV//etfd3d3l5dWFhaXStXaMFj1o4iXS61MnH348OHr16+VUrOzs0T05MmTi4szRmEGg0GSJETEkyO9d1mWZVmOiI2xiU8//XRpaWn33Q4A3bp1q1yJHz169OOPP7Vabe4JmJ6eXl5eTtKcn3p+fn7EWfDeFzGUcxyWMg8oDEMiGgwGxhU+U4hiyqEQIk0HgZZSICLt7797s/MqDIPV1ZVarfrtd9//5ZuvB2myubl5//79paUl771Q0lvyWMBYCDKOy/Nz4eLionOuKEAIgGELFQAY78A7KXUpKAmhuPDEEJiU0jljjAMQo66csBQlSaK0jOO43+8iYqPRePbsWaVSKZfLlUolCktKBc45lj1riQs6URQwNYPBQe66LpUK8i5ISYRaaw+emaMjYJjDihFCP/oTWyt5ia+oCIGjIJTCOcOzRvcPD05Pjp8/f/7y+Yv9/XfWmEqlUq1XwjhqNps7b3aTJOEr9Xo9zkScc/1+X2s9Nzd38+ZNDj3COAqC0BEqJfI839nZffHiRZZlq6urDMUJyUUjbDab29uvdnZ2Te6iuLy4uDw/v8gpUqlayfP87Ozi2+9/3Ds4qo2NK6XK1SoXfs7OT548efTXv36zu7srhPDOPXv27OzsbGp6dnZhnlD0er0kyxlwlVKWy+XFheX/+//t/6G1rlRLY2NjY7V6FEU8QKXdbjcaDabTRVFUqpQvLlpvdt9+8cUXnU5nZmbqV7/6dGPjmrW21WoGQfDw4cOnT5+maR7H8dzswtjYWBAESkVf/3Xn5ORkrFKenZ2t1+uI2Gq1Hj58+OOPD5rNZhRF165t3Ny8sb6+Xq2P9Xo9JQPvfW6d9e7k7DTNs1K5fG1jPTP5k2ePX758/fLly067t7y8/PHHn62trVUqFQ4z8zx/+/Yt96S/ePGCkc6Li4tOp7OwsHDt2jXeXGOMRZJC8LhPIYQUkgcucrN2EEeMENk8m5wcj+M4jCQ5m5vs6Ogod3aQZhPTU5X6mHPkvUMhmDkqhmUIAOj3etvb248ePcrzfHp6st1u7u3tMj+dtbpSqTQaDSJCQeVymXMu73232xVCOG9ebD+7uLiYnp2599GHS0sLs3NzX3319Xnz4v/3r/8ljuOpqam1tTW2cR4oydJWq8XVaO99oKNkkGWZkVLXajWuvpfLZR3GSZIQmWq12u/3R2rgHBE5EUoAn6bZy1fbg0F/cXG+Wi0/ffr462/++vLVy89+9fn9+x9e29ggotxaBKm0zPO8HJeQSAhF4IUWRA4EejDWe5NnRKSUUEpLKWEY27fb7dPT8zRNuUsQkZgc5b23NseCnkZco2H8hbNITsA5LQ2D2DmH6Ky1bOiNJZACvQvDMMtSj0ACUUoHlJqcEDNrtA6Nd4gSvFNKcP2Bhi2RbGpHGceIsliskrGIKIUgIBVEIXMlTW74XI3zVvPp06d//vJPRweHSdIXBM65zuHhwcHeztt3Sug0z5yxQskoCIMojIJQBXp6curW7a211SvziwsTjfEgCgUgIToiRJJSpmn6+vXrNzuv6/X65ubm2NgYACRJopTq9ZIHDx48e/ai0+8lWT5RKk1NzlSr1Sw1OpBS6KPDk2+++ebly5fT09OlUuno6Ijbulut1vfff//FF/9+dHTCZNCXL18+f/GyWq3OLyytb17//PPfEAK7EWtts9l8tf3i7ZvX16+tB0HQ6w7Ozs5Oj0+01pubm8vLi6VSKc9zpq9Vq1Xr6c3u2//8n/9zp9O5cuXKx598wmycbrf76s3bg4ODH374UWt97drGJ598sjC/xL7d2vzJ46eDQXpr88aVK1el1D/99MPTp08PDo46nc7s7Ozm5uby8vLk+ESpUuaTLICEQCWl6HbbZ6cXvV5vcnLSmOzJk0d7e3snJ2edTsc76PV6zWaTvRMRhUG8t7e3v7/Pu/7q1atms8mB69ra2kcffbSxsVEulz2Qs44kz+9xzgMROaYkhUoplVnDXNtyuSzKJSGU9z7LbNLvGZtzaqmUqtXGtA7zPOcZuyPqofIijuPBYLC7u/v69WuG/Y6OjpiWMjY21mg0pqamZmZmoijiuQFSIdMl2F50u91+fxAEwbfffsuNnpVKZXJy+tNPa5OTM8+ePdt+8arX6z1//vzVq1fcHGmMef369f0PP2KSBQBwDyVHE8ya51JrBWWSJNwAfRlWS3PDqJNS8nB/7/j4OAjU1NTUs2fPHj153O32f/WrX338ySfz8/OIOBgMtNZBFOVJToSWSznkqGiGYJbE4OjoqNfrWZePjY2Nj48xVJckybt3+9vb24N+vrq6urS0VC6Xid4PbeLgiKtUQEjg2ah5bxkWZESTc0yWZJ79Uwzr9V4IEKJgdggBfC7RJe6GIA/cYDKaTMYmbARejkA3TgJo2GkdhiiG7aYKhJBakzGZyaMoiHTQ7fceP3v6bn/f5jkh5NaGYTg1OxOH2oMIZCB1wHlto16fnJ6empiISqVKqTQ9O1stl0EI8D63NlBSSOmtzU1WqZbTLNl997bX69y8ubm+flVKmee5FFqr4NnOix9++Knd6pbL1X47UUFYG2vEpYoxDlCeN1vffv/D9z/+VKvVNm/caLVax6dnUzOzlVq92Tw/Pz8nwo2NjYmJiXKlYoxhDHVvf/e81Zyamrlyda1cLTvnrCMp5c7Ozh+/+NN33/3AE4y5K35mZibNTBCFlUrFEwVRHIZhs93h9ueDg4ON69e3trauXr06GAweP3u+u7v76uWbTqeztnb1k08+2djYlFLmmZFSopInByf7+/uN8cb8/Hy333vz4PWf//znVqc9OTH90cYmN4Y1Gg0gNxgMtA51EHnvIxEHWp6eHjebTWNMp9tqPzlPkiRJBya34+MTSgZHR0d//vOfAeCjjz6qVCoAcH5+3u/35+fnNzY2rLX9fp/Bl/n5+enpaa11mmZCSeZNG2NACkThvQdigjYiSlkUJlCHgTM2M4bIKQ1M6HTOSCmr9Vq9MRbFcZaZQphsTkLwZPFBP33z5u2DRw/f7e8ZZxkSbjQaKysrKysrY2Nj1WqVRxYIAaxCzhkmBTALKEmSL7/88vT8dGVlZXFpOYpLnW4vjuNr6+vzC0u3tu6cn5/v7R2cnp4OBoNWp2uMQ5TWk9QBAEgddPuDo5PTQT8NgzgKS6W4YskP0tS4Zr1eL6oPl/QEyTvrQIfcCcnzcg4O99I07XS6H354//f//E/TM7M8jnDkb3LrCdBZDwB8hJwsetL927fv/v3f/0ez2RQSpqenGxNjQRDEYXR0dHRwcEREV9eur6ys1OtV50zh3sE5b5yTRMWMdSLPzpvIMcx3dnphcsfPhcVIBMvEQq318DQiPxo4wC1qYRiGYRBGGjOUUgEJpbRSAU97g+FrBIKKoqnv/Xka/PshDYq89woAihJUFCFSp9dtNBr/2//5P965cydJBtVyeXx8LA4jrbXSQqtQyXAUyHGmyukWEZXL5TzPtZQ6itAYtppZnkqJ3vsnTx69ePFseXn59u3b1WrVe6+1Zv/w/fff93vJ1avrSgkyFEdlIhJCVSrx4eHh999///jxYyYaLC4uHh0dEdH8/Pzc3Fye58tLqzz6oVwuLy4tjY+Pt9vtn3766Q9//GLv8ODRo0eLy0vM8JcqmJicvnvng+Pj453Xb7ieOj09ObmyurCwsLy83BibGAwGgL5Srhljnj/b/tf/+l/evXsXhMp7f3h42Gw2j4+Pn22/7HQ6NzZvffzxxx98cI87FLhtVAjR6bbe7L4TStbr9aOjk5cvXx4cHBC4ex98dO3atdXVVR2F3lj2J1FcFkIV/b9KEXnO7avV6srqQqfTumieX5u6OjkxVSpVup3+kyfPDg4Ot7e379y5I4TgHFAIsbCwcO/ePd5Xzj85++h0OkEQcand8/wgLCaLM4LFpX7+iPPeWhsGASKAt96bMAiSdHB0dNRut5eWVxDRexhtNxY/ACLuvn37008/HR0dee+npqY2NjZWV1enp6crlQrHF6MmCI5yhRCIMs+t932OhLvd7rt37xjpWFhYmJqaMsZ0u31EnJycbDQavV5vbe0ae4InT550Op2lpaWFhQVWrVKptLOzc3BwwAn5jz/+uLe3N8hSY8zGxgYP1CIi3iY/bIoxNuv3+1mWvNvda7VarYsLY7Pl5eV//ud//vDD+xNT0wCAKMNQlsvlNM2NMTzLbjjCFnnjAECiGBsbm5qa6vV6J6dHR0cHUiulFB/jNjMzd/fOvc3NzWq17r0v+GBDxEcKNypDsA6Hoc6yYmba3t5elmVRFDHKxu9kbDgOI4TceMfDFoqjJIt538O+J0FCjPrZ3o+/o+Hr8m9GSo2XRvbzDVtrFSOofO0gVKVqpVarlSuV9fV1Il+KYq21EiClBE/GGGOJ3ZS/NAWfRd8DDNKsJGQQKZcbAPBAWsu4FO7svP7r1181W+e/+8d/WFya14E0OWitDw6O/vznr968eXvlypVPPv7U2Pzk5Ozs7Oz1m7f1sfEgCL7++uvvvvuuUqn8+je/vXv37rt371rt7vTM3PjEFAo1MTn523/8HdOcrLVxHFvrS6XK1tado5PTs+bFyclJv9+flbJUKnnCPM83Njbm5+efPXsWhJpbGMfHGnEcMxMuKlekRALxauflv/3h31+9fgXeE0bPn28/e/YiNbmUslarff755zc2b21tbRljudYDJCqVeGJiotfrnZ2d9Xq9N293jo+PlRILCwsffPDB0tIKB+EeyHuw5BCljkLnyBrDw9f7g+Tt7t75+fna1ZWPPvooioI0SyYnJ6MwJsKz04s0zbMsL07ZESJJkna7TUQ8WYPZzZyG8IKUy2XGNYAsBkoIxU0+Ukopis4xDs6FEDwXI89zKQWSI3AQSG9yZqaPjY2VSiUHVBxcSjxIHgERpeIJC+1uf3F59Veff8qA1MTEBHnMssyD4LqgVCiEyp0H5+M4tt7nWa6U6vQHPz16eHx2Wm+MLy6vjE1MWgJUOpBBkiTNTpcRwely3RgzPjldGxtP03R+ft57n+YWUaogOjw+PTg6QcRer/fHL/4olAqCYHl5eWFpsdPrDtIkiqJA6VGuDgDk0XlK03xnZyfLsunZ2ZXl5VtbW5//5teTk9NnF01nQclAhyG3+VibV+KSGI5BFYBieMqGDtTt27dnZqaePn369Nnj/f13XLCP43ht7drtrbvcoMVND+x6pUS0yGii1loIPmTH5nnKtW1r7WAwePnyZbfb5dvmnWVthWJGrLTWAhESSRAKhZZSELjcOJN5Y8g6niDlnSXrhBAAHooTaYYDXXjePBTzxwsKhfPeuzwZcGuctVYVbD9P3nsCp7UOg2B6etbZ3Dkni2KsNcaQ844AQdClU5FHTC92U27Yt8/1cKVUnuWDweC7779pNpsffPDB1tZWpVLJskxK9ezZs4cPH+/s7NSq9Q/u3rt161az2Vy7cvXNmzcPHjw8PT3l8UE8IGdjYwMR9/f3syybm5tj8F8IZa3hBtZyucxgO6d2cRxLQPYnxdwRqaWUUqgq4u9+9zsA8OSCIHDG8g0DAPPYvPftbscDAUodBaxO5XK5MTmxvLw8MTGxtLQ0OzNfqVQ6na7WuhRXkkG2v7+/vb29u7v7/Nl2kmQzMzM3Nq/Pzs4uLs5PTU0FQcTVLAAQUgiU3rs0LXoHeVj+YDA4Pj5OkoS9a71ezU3mnDO5lVIOBun+/r73/sqVK+VymSeJNJvNUqk0OzvLHcosTzyxmiMLY1wQhXFURqUQlAMiQO+9GPZK/wIARwJrrRIghfDGcqWT4YyxsTGUOnWp5qluziulMNC5daVS6dNPP71161a5XJ6anoiiqMir7Xsnxo1JiCilt9byUjPYwdBvt9u9d+/e4uIiF4+VChiH4vxcSkkeuX15ZWWFYyIWOe59Ojk56fV6kQ6q1WpULjGe+sknn3AlhXGoOIw6nY73ng2ulLLXN2maN5ttJfXdu/d+99vf1MfGAxVmaa5UEEhtre12+1mWBUFQLlWVlCz+zjmC4hAQHPZVNRqNzRsbK6sL/X6XfYZSwezs/HhjkuVqVLIB0Jf9+RB3EMzEEUJEUdTv99M0PTg4GAwGI8DicjjgnOHTe6XkIg8Beo4JpEL2KADOk0XQfDAtgSf/s5EUo5sf4i/FfvEsSGvcKPRQfICAlEBE3rg0T502PASViHxB0OKkgxCFd94NT8MihOKkNqa2IKCSDiizxgEpKaQUgP7du7c//PBdv9+9efPm1atXlVInJydnpxf/9b/+106nNzM9e+vW7c3Nm+VyNc/t3bv39vf3j45OXr5+45y7cePG559/vrm5GSjVbDbPzs6V0gvLS5V6LTW5RxBSCimjOGBlQ0QuEOzt7XEJlmf24XCkjXNWaGV8MaW22+97a0fWrVqtso3bEJhbu3XnDvfLT0w2tNZxHI+NjRVsFucvLi7iuHRxcWGr4L0/Pj59/vz58elRZvJr1zfu3/vg3gd3uRRirXXkpZQCpfHOkZdCSJ4banNEJEBrzcnJyfn5ea1Wm56eLuqg6UAIEeno8PD426+/aZ435xbm19fXuQRwfHzcarVqtRqrU7fbZcEa9Pu9Xq/X6yVJEoTx5s0bV9fWAxkjICpZjKj3doSKE72naYEn58A5p6QAoDRN8yTlHBiGB44UtTQhmJMGKMrVWqlSNaZoCCSiKAyICMAiogckAIHCevLeaK2F1HmeSyk90d7+/pd/+ero8PDq1atbW3cqlZoxrlyuIkhrrHW51jqKi4YxQrDeCSChZJbnQggPZIxh3zs5OTk3PfMf/+N/PL0411qPj48zbW/kA9hmcf94t9Vut9vPtl/89OCHPM9/97t/+Kf/8B/m5mY7nS4RpGma5sa6RAgVBlGoQk7cmaXueGITISJmSaK1bjTGnHVpfxDpoBJH0xPj8zOzzjmPQuvQGp9lmVJsKQxdGqjHRVAhRBhyJ7uTUnK4yoaSs/XRwjIpi0V9amoqywzbIGesd2RzQ84DUZak3jolJUniY3YkCqUkt6ji37ykKCSBnOdW+2IonC+a3IQQKggCraUS0jl+l/Hep+kgCkMh0FvnnBOIw+oxkUBy79sKRpkPpzdFQDuknXuEXnfw/PnzZrM5NTV17dpaEKhXr978+OOPjx8/3n27d/v23V999vnm5s0oijqdnpT62rVr//Iv/8fr168PDg4ajfr169fn5+ejKFJC8HDBMAzH6o0gCLwjrbU3OQfkXOwMguDt27dffPHFw8ePrly5cvv2renp6UAqr4qzMFEIRGS0mXcriCIdhgLAEeV5nhnDXvTu3bvGGO7bGY20GFWVlJRBEJTLFWOcdXmlUllcXJQSF3sLeZ7PTE/Ozc3VxxpKy16759HHUclzaV5KIuG9Iw+AJIbTuqy1TGG+srrI7TZJ0ueBUdvb2z/99PDBgwdxXNra2pqcnBzNreU5wF999dXz5897vR53uBbGzxhj7dzcwuz8nAPSWjtC5xx40FrDkP9faP4I7vIkpTRZShTIQPMkFa315PgEIpIxioNwQSOkXSjNZbxSqULkEKW1uUdUWjoC51xxVqIHAGCMRko9xEqg0+klg2x8YuruvQ/q9QaB0Fo5D0qgUDLUJW58MN4JEiAUOOcIyREq6S0hIgpVrta27twdG5+Yn5378P6HzWYTEbmiz9EHJ/M8mW3EmOIKzvaLF7du3FxZuVKKK2maaRVKray13oPWIVsZoZQ3hmFsDsOtLRrhBoNBoJSUolotKy0AAmMyIYDhvMwWgQPXO9jahmFI9H5qvDEmyzJEGQQBUXFSGRMRlFJjY2PkPc+s5d/s7e399NNPvV5vdXW1XK5aa4UAFKS1tDZvd1p5nh4fHLbb7YXZXCqlUZmCE8PogUOUQoAQGpF4NE8QKFcc5WM4Kszz3BhXrValKGAKZW2OKFFrEAASiFBAcXbx8JQpD5eajoC0d8VZFXwUFgcvPOtBCiGFtNYiyCgsdboXBwcHf/jDH+M4/tWvfjU+Pv7tt19/++337969e/v23T//0/+2uXlz88b1eq2aZRmzXAlh7drV+fn5NE3DMOS+0l5vEMdxu9vv9AZTU1OTk9NMdGV7kSZ9RNRSOWcODk6+/vovT548KpfLd+7cWVhYKJdj58g5K6UCcjxYrVKrvTdzwIOwyHovlc6tSfNcKQVC8HDUpN/lRFEGOooiJndbnihlC7qxkLC4OL+4OO+Bms3zMAzDILAENjdBFIOE3LhRWVsI9N57RIXgjNVSElHSG5ycnFhrJyenoyhGkEEQDAb9p0+fPnzwaHv7FQjcurN1+/btcrnc7yW9Xu/4+LTd7kopj49Px8cvjDFBqCanxgWqMAy1DgeDQbVaXVpa4m43QMkHU1mXD49QlgAIl07iBiRPTgjBp4QPsryXpFxhAU8IgOAJPQA6IAJCgc454PGzng9+9yiUI7C5JQIQ0gMQFpN5nfdaB0IqJAlCeKSJ6akPP/4kCIKbW3eCMPaIgNKRF4C5s0IIQGEcoRQASAAoJA/aIgIQ4B15T4BiZm5+enauHMU6jKJSmemF3W4XikNkFABoqYKAECnPcxno6bnZxfnZ7frY6urq2to1pQJrXBiX2MpUyrV+MiBCqZUjAiEdgRDK86NIHp2IQkkmaAZxUK5V8zxHhWzgeBCZG9oL53I3PDtSCOEsERGCBBzhm0UuzPUIpgXNzs6OT0wopWZmZri1YnJykoh++OGHhw8f1iv1PM+FgCTtS0nlSqnXb5ksCRtjeTrod3sqCJ0wgDIMY2dzCQIlChQoCIGk5N0nb3PvnDPG5rlzDolCLaNAmTRzwjBpUwF452AUHhCRIE5+CuhFCEASxYkYJNLUwM9PJbsc5MNw2BQHqP1O/9Wb10dHR1eurBhjvvji3//0pz+1Wq3V1bV/+Zd/+e1vfztWn/Tec7wQBCEA9JMBH2kpJXoPxmREGAQqz/OTk6MsyyYnx2u12ijX6vf7cRQopc7Ozp4/f/r111/v7OxUq9Xf/uPvb9++XavVwBdNddVqiIgChSci5x15/tdbZ70DTzoM4lIklJQoUIhA6TAMyBmlFIeFfKqotdxGweezSqUUN24M+r0w0lEcc7qIcjhQ3wM5PmkFANB7y+PzeU7ICKk6OTne2dnhQU/Pnz8nsrlJz85Onj57cn520WhM3Ni8de/eR1NTUyxqo2BqdXW1XC6vrCxVq9X6WLVcLkuhgyBAlGdnZ0mWLiwsBFGcW1MEg4XRf793o1Iakffe8FnqAJDnebPVHgwGExMTnIb4nx99gHyQIoxyXfCevHfvhWNY1RfD00+11ByEc6XQGz8+Pv7ZZ58JISqVKgE45wbDtvHCErEcMuvYoyfyxjP3FwBomGzrICqVSkDu7KLZ73YAQErk2yae9DlsGvDecn0REefn53noS6VS4e5V9quDNK+pQAlNCJ6I0w/wFMiACGnIsOAjmow3/X63XI7DSA+bKQSi5zBKDPs4RwE4Xjr3m4spjJLikFrKsQbnI1euXPn00095/ASXjaanp3/3u9+Vy+V2u93v9LWWQojcDAC8dRkcG5OlURTUKsXwSsU5FEAQBGmaggPjzSj9ZKfP4BQzU9ilhWGoVBBFMWJxMJIKVCEEQCBBoihmouFQrrwn4GMznHPOSVBAhVUYmQZW3CIr8V4KoZQi5waDQZJkuTHnzYvvfvheCKg3xu7e+/D27dtXVq82Go0sc94SIWQmz61RSsVx6Ml5awm478grqcMoGPSTdqclBExOTURRQOAF8tnddN68OD8/39nZefHs+Zs3bxuNsd/+9rcff/pZrVYzjthLxGGodTHgTwihBAqQKIQHkCF6AC1lkmXpoD9I01BrHYbO5AYoCIoz6YwxuSumUSilyuUSAPDJHZVKic8N9N4LJMUDbB14QO+dy62xeRTGUgkg9OQduYIbw/Vt66w1R0dHh4eHQoh+v//9998PBt3cpINBz1o7MzN369atjz78eH5+UeuA8wJmXq2urt67d4+POGNR47oXIkqpq9VqZvIgCNL8/Sl4XM7wPCmTLBZsC+QQUaEgIhAIACbLz0/PjDFTU1NiOBYcL53YBACeIzPG1RGEQEJBRI6NEYzmVQwPE2KNIae1BiKbp0qp8YkJAN/tdpUKtFJDM2GcL44CJeedJyzmuwlGBa21Ugop5RCyJSVRkGr3+sORMB6RzzQhZ1ye50YpPXwJ8CY37Xabmwx5vj4jqdZasnxQm/NAthilKQHRWuutc8Yyiue9t7kxeW4y3+12OV31xTFCYK1BFETA38wwxMi58mKyjbhc3RDDgx3ZviwvL5fLZR6wFMcxfw8f95emaeu8VS7HWmsUzjlzfnHy+tX2/v7+7Oz07OxstVp1zjmPzrk8d957JXicIhZDRTg6FEKiQalQAw/RYmOqVJAbV9gDAOWM8cNcojgQnjyRi4KwcCDoh5PmAAC98cTGFgEJPBASEIK3TiiphIShEtvccH34xo1bV66sLC7NNxqNycnxer3BzTBpmua5H3H7nXNSCU/OWqulCqPSqLAyGGRCisFgkKSDZrN5enYSRVGe5+fnp2l/8PrNyzdv3lxcXGipbt26de/e3Q8++CAqldnzs/Hm0wY8kc1zIYQbctRG9pU3iaf+sdXPL5ERCkAY3x/yzjSNLMvTNOWJZmGowzA0Jh8hygAkhEAtPUnrDIGE0SGJUnJ+x26z2+3u7u5mWXLn7tadO3e6vaYxqbFZnuf1en16enp2Zn5+fhERuTNKSdVoNH71q18ppXiubLfbxuHxecaYJElKpQqzFY0xznkOl+wQ5GMrL1CgAO4TYtkVOJqxKDv9Ps/UKZcqxjilHOeuo0UjIiXQw8+OfaWh0eF5nB4vnYeKSOSFZDityPm99/1+l8c7q+FxoQWHyluBAAACwJMQRCARvfPe2Sy35LSMlFLgKHXOZnkCfSGE87ZcLjtn8jzNstzzOS/A5cnCyWd5gp6klHNzc2tra+Pj4yNd5fg/iqRCkbvce++JEw8nqDgkRQghh4xYpaXzypgsy7I0VVprjjuoqGt674tzbd/nesNx6jCc4juKykevKIq4UFqpVOr1eqPR4JbrXq9XqVQGg0Gr1SqXy+VyOY7Der1eKgdCwMLi7MrScq/fIXJBEDFnPMudc46PktdS2eE8fVa6YUGzADJZERiIIEpQBGJ47ocCj2J05DPikLYh0zRHRAEI6MkjR33oQQlNRAhEAkcHtzsgAuERwHlrPaBDJSVgrVJdu3J1YqKxuro8vzA7ApYYa2XQBAAASWkp1XCgk7e5s9bmvGqIICVKKeI49N7++OP3e3u7QRB0u10G/Pv9fiDVxMTUlbWVra2tK1euRHE8GAyMMUEcoSCw3trcWo+IWgoiAiKBqAONRZsAVzGVEuids3lWbCRowiJ6EkIIKRjmJCJC78lqrYSIhUBjeA6iF0KgIAEeiZDdrQAp0VtnnUVE4CPRicd9sksUnU6r2TyfmZ6+/+FHt2/f7vVblUpZSuSCXxAEPNc3y3JrbRRFjJ9PTEwAiDRNmVbHo0A5P0eUSgXek7eOa8BE5GwOAAQkhCRjAdEhcY8DIoEUiGAyIwVIIUpRfJgk7Xa7HJa0kIIAnEdE76wQQqFARE+eLNPHixwWEfm0biJXFA+K/KNIe6wDDRqFyPLUWhvFQRxHAJAMBgievHUWvLO5M6NAVXgphBbCIyB5Z4011tjcIPe6kLPWgXdA4J31DiQKZ3LrciBC8FqwThadpkROIoKQhFStlm/evMmE9DzP4zASQrQumlJKIbW11hsLnIiTB3IeQBbTVwAFDhMTJQIIpMgGickSxrmEENbm1trhEReIArgTBIrzWTwNQwxPRE4U9U+hWMZ4shwPyo+i6Pj4GBF5ug9zgngauMvd+flpp9Op1uJSKYpiLZQMohA8tdvt5kVbKWUdAEC/nznnSlHMt8HaPjLxUiLXAUfGgu3Iwbu376shzBIpEstiJDwx4sCFNH6x/RMAaTrg8c1CCM+DD0cnd7EWWWfRa8QgjsfHx6v1CoHXWpKnNMkZRXfOAQgiJLIjitcwuC0SYP9zH2iMWVhY4EmESZL0er08z3lCablcnp+ZXVxcnJufqdfrQghuCRVCsEkioixJpQ6MycQwTx85Qz8cWDLKqnjJ+Gc+X2x4P/6yHzDGFGN+i4FayjnHoP/oa2l4BKkYVo4kvHfOSKClklKOjY3duXMHiDY3N0ulCKBWLsdBoKOoxFc3xjKkyvO+vPdah4x98A2r4SATXlsx7CBg74QovAAEjiYAEUthRMMKP7savlAcRp5skiTe27dv3zabzdWlZeZieu+dI+7H5WSHyztaSES05AUVo5lGIYYvRj17D8SyBAJYxQmcJwsQIKL3NssSKaUxRuuCj8TujgjIkwMAJ3xhPXwhltYkSZ8GxANjmGCitUakJO07Z4bwAXC0xXR47vpRSljr8jwHEAyBpWnKc7r7/X4YhmEk+SPCC8uDCIdzVWHY5cUapZDLZHm3281NGscxjyM1Jsvz3HsYLTKHyaMUAy8VoUbaF0SlgmcFwDLGofdgMBBCVKvVVqv1+PFjLMa7R0kvOT8/DcMwLulyOS5XSp1Oqz/oBkobY/LMIiIg03kHQgiT5Xwno90f1i5+dhDfKMxxjhCLiWTq//3/+n+K4ST+kQlBxImJqVHMhkM8RgLWqmUJnBLL0Ue4JQYRRymZECIMQ+MNoZeB8mT5brh9yHs/GKTMOxwd88txR6QDRAQ/nBU81DGt9cLCAp8ZUavVcEhx4aUPgoABqjzP8zxjpbLWpmmKBMRppHfkvHNeB1IKSVCQtRBRCiFZEO37SpuUEqTwVEy1R0QurHP8DOD57OmRRQDwzlk0AgFIEAAIQAKQQgrAkTZ676lAl8gB2DwNgqAxXr9951aeZqVSCQCq1aon2+8PRkLjLBGZUYOgUgEiOudH1VzWDV5bY5gCqJRSg0E/z3MdBqj41PWiYpr7Po48m/du6GFMlkuF3liSYtDtudwIRO+cMzZNU2McA2+MfFtreTQLABhniyiGBEDhRUeJniWPVBzXBMODb51zUjKvyY1SfSEEryobQSqiFpZfAZeOm2UenXW5s8RVc76uc87YzPsCVmCdkEITERMumEBZEL2g0Ns8z/O0CGdGkt/p9oloyMdn2Sbn3GAwKPZl2DPClx5hFpe/JM9zJkqI4Yvt2mWdpOGpkSAUj4kclXvZNPOcPj7putvt8ugwHvxpbS4IjE2EAB0oa3MAUJrbgi0ROQuI2O0mADA5PjHyZCN/xs7S++Lov6GJZ2kpCDiI+P8HSWEkMisD65gAAAAASUVORK5CYII="
\angle D O B = \angle D B E + \angle A E D = 7 5 ^ { \circ }
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8H8U7tYA8Hs+H8U4tII/H82H8H9SI4zb8JMZIAAAAAElFTkSuQmCC"
\begin{array} { r } { ( \textbf { h } _ { i } ) _ { j + 1 / 2 } = ( \textbf { h } _ { i } ^ { + } ) _ { L } + ( \textbf { h } _ { i } ^ { - } ) _ { R } = ( \Lambda ^ { + } \textbf { f } _ { i } ^ { C E } ) _ { L } + ( \Lambda ^ { - } \textbf { f } _ { i } ^ { C E } ) _ { R } } \end{array}
"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"
\angle D A B = 3 \alpha - 9 0
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R _ { c } \simeq 2 . 3 6 [ 1 + \ell ( \ell + 1 ) ] ^ { 1 / 2 } \frac { \sigma _ { + } } { \sqrt { U _ { - } } } \frac { U _ { - } } { | U _ { + } | }
"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"
\nu _ { e } = 4 \pi n _ { e } e ^ { 4 } \ln \lambda / [ ( 2 T _ { e } ) ^ { 3 / 2 } m _ { e } ^ { 1 / 2 } ]
"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"
M [ \widehat { L } _ { \mathrm { t s } } , \widehat { L } _ { b } ] = \infin
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAaUlEQVR4nGP8z4AfMBGQH1VAroJ7Fa4VqCL/UcDM8v93jVFE0BQI/v//fyYeBWcYVv1HA2gmpDEwGK/Cp+D/u92hDHgUzPz///9uQRQhVG/eY2BgONuBIsSCqkA5lME4FEWIcTRNDhoFAHS/u5LQdkPcAAAAAElFTkSuQmCC"
s
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAArUlEQVR4nNWSQRHDIBBFH3WQSlgLVAIWYiEWoiESaqGxEAlFQpFQJGwvnQYICdNb+08MPHb/zl+jHOvUeP9PIFxagGsB0gJsaUI/GkRVneqjv62XmlSIARCQ2ddbiAM6IPOZerCwyPtQAxYBbyGGvg54gWhhuh6NCb7b9TBDZApj/mGdeMQ6Ge6ayyQ7GcLiyiiyFuIokyhN+i1gsrU/P48r+E2UZYWKfnHtvwdeDH5X/aMWDNsAAAAASUVORK5CYII="
\psi
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\begin{array} { r l r l } & { \mathbf { I } + O ( | x | ^ { - 2 } ) , } & { z } & { \in \partial U ( 0 , \delta ) \cup \partial U ( z _ { 1 , \pm } , \delta ) \cup \partial U ( z _ { 2 , \pm } , \delta ) , } \\ & { \mathbf { I } + O ( e ^ { - c _ { 2 } | x | ^ { 2 } } ) , } & { z } & { \in \pi _ { k } , ~ k = 1 , \cdots , 1 6 . } \end{array}
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\pi _ { X Y } = \operatorname* { l i m } _ { T \rarr \infin } \frac { 1 } { T } \sum _ { t = 1 } ^ { T } \pi _ { X Y } ^ { ( t ) } ,
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"
\angle D B C = 4 5 ^ { \circ }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA8UlEQVR4nN2SwXHCMBBFH540oBaUEpYSRAmmhKQEUwIuAZWAS7BLyJZglWCV8DkAE4YwcEwm77pvv7QrrcRzmhf1fymU8kLo/WeEbomL7mmAmvtSHSghAHVi2k3UvCvnI/K62LDNwJCA4X3zWcNm28e6roC+OEoKnaR2lKRkkthLI4uEWpO0MEoKkiTrpJlR6oKk5pw7YeAJAI/gGFT7HjOHAIMBOBE8BvCzYEB245rgJCgRcIA3DptaUzQuHRQDvAXSUPYRSbPEQTp+3C9pviwqMhGvAbfE6yW9Z6rE9Og1VwK8goVH5YvwjL/3J39HOAED/KlNIy4MGQAAAABJRU5ErkJggg=="
{ q } / { m }
"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"
v _ { d }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsklEQVR4nOWTURHDMAxDlTEIhVLwIJhCB6EUXAijMAodhFBIIZRCCkH7W90s7b5305+Vd7aVOwfiXJcv7z8IzLdwXQHMIWwmN6XOFBNJwfA2PcCFCUYapLQBkjBmxIWHgPYUJGd8pFjH+a7eqDoMnVuwNWK3YAPIEZknQJGPmfu6h+0i1CnGpylqOXiClFR3cECOyFxgR0ARGEkImZqAQkiyg6m0Ac0k+YjR/FeFP7yLll4/75GKt2F/fwAAAABJRU5ErkJggg=="
\chi
"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"
\mathrm { ~ 1 ~ 5 ~ m ~ m ~ } \times \mathrm { ~ 1 ~ 5 ~ m ~ m ~ }
"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"
g ( I )
"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"
1 . 0 3 0
"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"
B _ { y } ( t ) = - { \alpha } \bar { P } _ { x } ( t ) / { \gamma }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAp0lEQVR4nM3TQRHDIBAF0E+nBrCwFmIBC1iIhURCtVALSAgSggQqIT1C/s4slx7K7S9vmA+TuAv2ekz2fwCeerQDcenx4rXGFqVHBQ6kBAtsaO11GiD4e1YA4Z75mgULTagAAMg5nqg6HnaHwAPOnjpyyfrhjgwgNsgzUBFsULiCOmECsnpoAkVVIFCFLzGAt9uRV94fASRDg/5Vb6g5eQXcH/x6U/AFm8Qce7otu3AAAAAASUVORK5CYII="
f
"iVBORw0KGgoAAAANSUhEUgAAASAAAACACAAAAACOg+sGAAAI30lEQVR4nO2d3Zmrug6G33We3YB3CZ4SvErwlMAqIZRASkhKgBJCCXEJoYRQQijB5wJIADuQH2BWNnxXDCQj5kOSJVlofllW9OF/P30DfztWggawEjSAlaABrAQNYCVoACtBA1gJGsBK0ABWggawEjSAlaAB/PPTN/B3ICtQwntlJQiKbVoAMog8HK0mRvbF0drLrtj/ztyrvxZfDyq+dhsAst+Is6NDqwbtVckPKqLYOpeXpkH7QHbOfOXiVJ7Lv8ChY2EalG4dHckp0vJIAo4X8hCUj35bPZhVGBjSonNKI4K+r9gudhydc5NhVmHWWgFx99zxXB2cQTjf6GqQ+Xb91GSYVRhAWoDpntS1V0rA1aVGoGjI83QulZ9VWEMqpIU/ZKZIEDv39E2ZABWdYBatn1XYFQI8NlZh472ZBkHHi7XWznTPswqrcUABgf9ijDh4TjtOetZ7npmgjTzgc8TWWhsjT77zi4qDTBAIrmFPC0moT8r3nSURlOUBAZ51DJIwOvp995IISqVCA64GJWFcrl/f3TDSDRT57/ogGdlyIes641hUd3Fy4+YFaVCWK/DZWLI96vLIaOdbC6oopiIAFJDGzfNJqOqAPuuNpP/rSAOAIIQiayxYSdhI4V1HvRwTy3INlKl7002HzQ+5JrYcgkxV1eiuYy2XvGSC0sq/BEDuqc7fwWIIyrNKOxwb68diCEqv/sUfK97DcggK6hVK84yNLYWgq4WBVHjzMT+WQlDaqKY+5YSWQpAJbjFgAGSPlnsXQlDRzLKk4nEVWghBaWu/4hkbWwhBptX984yNLYOgIm2l6VLysAotg6A97ZaFO4VXH7oE5cy4Xz6XsHTPvlVLlYB5THKj/SXJgaQAEQjAs8k4IuYTZozJABnIsg8oTygSABk8IrdB0Le51kOywtMpMyqeF5YV5JsXJG33oPIC9BEA8w1KVCY2LPdDGqi2e2Dqh+bFh5RcdWmPP4AP0SDuNMhNj88hiF8/QtAy4qA3sBI0gJWgAawEDWAlaAArQQNYCRrAh0TSTRiTQaaOkBhToJXvNa/xME2v0hSobzYCQNuL1gdrjwrh7b4cS+qEv3tkNJ5mBNqqnbXW2jPICaW+kGrkSd/VwNsrOgaaqcYvtKqLOX9SDr2vo7yFF3xQuu+7WsR9V8dDYY7VkfR2ho2FFwiKenVkMgXqIGu65gnrtq+sYm6X0U+geRcTlor+odep6HHI6HdbPsjB6mr31co2kjGUSuuKoB6nMhJBvW7LK/dNgtKH2zd676IkSNxnof8uHkaPhDt415WN4golJUHqOPTJdzG9hC5G20dac7EBvLCKmV6HEryyd/UX4wWCil7/N1ccNBdeICj4nI2QEbD6oAF8YD1oUjiTlj5HgwpuKUWBZ8rGCCLCf39/f//7tW2kLh+ys2oMmQGt0Lo6Vhq5YVtu2m8Em7eD2uw72CiKZF/Iw22taRaH4njeSRqPI4Iq7YmqYwFoa6HqWn3/3c6LqEYOnEBc6rMtgiKJiN6V8wh2uzmkWGvrAi2Is+diXLkbcbLWRrrxnU193Dax4ndONG1rGYD51rPlHmkGaQ4c3Xww/85BaAmRuDtpqUMp4KN6VFwkevhTIyJSEjxKqyMapsntM0C9EdBZxTYCnq7dPIv93FNfMi19RbVU0iw03Jm01CV72j0Ca609wcwaxGHjEXmRF9UadeKdtNSNgwLIH3/b7CWEIxWZHoZBC48GbXdkrdzRO2mpS5CST7xL9RK2/SPDJoBRQrmBpckDg7dk2pq05ETSwTPvK76ALJlpX6ghUiPobn0U25gMhKf6sC04XNMNh6ANVZ/1RAijuS0MU840aRO0DyTGq0BJIg630w5BUk1qY1ui4Q+NC4MG0SEoMxFF5itfJaE8NpyAm6wGuLMGR0O+n93AylehVIegMC71wNGg7qQlt9yx2UI6Vd009G3L5u4DeT/zvCHTgGwTtNWl23ZcUBJ2Mwk3aghAjR6KlNgpa6vejCsuvodxZxDbS+DgyDwra61Vrpy4npGn62zVQ9B06ca57ORp3ezFW8T2zaN7EUcutvyjbuf00Vp7wck/PJOWPAWzQEy10ocbl40/mY6P1h7K+L3OjEYMlcq3MSWNUHGvND4X5Ju05Cm5iiAhmWKt2RduoWBr4g1UjoJsgsaI8jer6xEUyakU1nFB/klLHqWMuCWzI+Jc62/DxE61zcvYWmt3E+SBlblys9ugPOi6oNb6ei2LeUws2U9jY9uNqx77qBqXXk4/yscPIk2llPqabFSviDtR0J1JSw7jMVF0b1zlOzjIemFoaFC9GESl6shN91tvI6pW5KCuEl5UKfTAQ3biaFASBrvgzrjKd1CEsadbt9aYVAMU+fgNvbXjuQZC9dD2O4lYF12CklDFqAnSjdBjYFekuYJJdnIwFQmy+vUmq9YffyLmoENQEoqjmCLdSLO+dbFyFBMQVLsg6ppiWK2k/kTMg5bBxVVT9pn7Y5dfg+9hXavBl6qKGTH6nkrtguy5FBjVEh50QbYVByUhOwUgtcGMmo8126fTHBnQaF9Lqsc8gQbl9ZOpHI85VT8/6IJaGhTfQu8YuPgIHQO6WyCWlbrqUXMwa621tyHaCqIyx6h/fEhYwwclIZvaUQTMsLtRI82v7nLs/Y6suNq2oM4x4AkXdCMoCdHXYFJMXXltIinHsUA5hWFMNMbiKEjT60pxpxzt4kpQEqIOt/P6iSlWb8KYxvSjkaOL5BZYCchv3fkPu6CaoCRENCO5KXcQi7YppddnOXb4VYT5TZCC4PYg0kebBau9+fQPtGe6hwnyPMZdtrGFzABa1WXD/AtxKS8m4YizA5K8SAuQQbWC5l/VP8cyBkwGYgNquK5S+urIiXvOwrud/S4ApbXWmjoOOt5S54sYsZYJ9ZsU1Z9Rd7cIqFoWHlnIKg0q9g6XefLACxNjIClurjPbTPp65Qv4kA6zn8Pn9Cj+EFaCBrASNICVoAGsBA1gJWgAK0EDWAkawErQAFaCBrASNICVoAGsBA3g/wj4hUu0gbWGAAAAAElFTkSuQmCC"
\frac { 1 } { \lambda } = \frac { 1 } { 4 \pi } \ln \frac { \Lambda ^ { 2 } } { M ^ { 2 } }
"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"
A _ { m } ^ { ( 0 ) } = \delta _ { 0 m }
"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"
\mathbf { \Psi } _ { r } \in \mathbb { R } ^ { n \times r }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcklEQVR4nGP8z4AfMBGQH1VArAIWFN77Tob3LqGoKv4jg/L//98prUIRQlXAcOb///JQFCFUN+w2ZmC4p4THiv///58RvIvHiv//z4Se+Y9PwZm0d/9343HD2YrQs3vO4nGDIAMDA8NMFCHG0TQ5aBQAADNovV7Dh/wnAAAAAElFTkSuQmCC"
^ { 2 }
"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"
3 8 1 9
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABIElEQVR4nI2TUbGDMBREl04N5EnAQiykErAQC0ECFoqEVgKRABKohFbCeR9NKKWh7+3XncnOvWdzkwp91+GP82To21NVRUlSbH+qU3t7OXjKO/lUhsBK2eBGaU6GeW1IDLfaOvW5LkBGq0ZXSdLDvFMmhBlqnQEuZ4ojlFtMrtBh9sBdGoGGQodoJRmv/hNBCwIM0n2LkDo8kzmr/gPhsE7u1W9uIRmiTQZz67cIh7dkXq3dGATgMtG8LGTRUdJruXUzPRGm69Q9oh6dEc5IJt/OkHbuCeYMwS/rftc94BogiPKTM92SrNwBBo2AtTsjIBhg1mXX4GrAeah2/kXl5a51t8swaGQA2BsRTK7KMadYT3lWkaGV1H0zrPTPz/tFvzfBn2HanqZ4AAAAAElFTkSuQmCC"
N _ { p }
"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"
\mu _ { \theta }
"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"
\operatorname { V a r } _ { \pi ^ { ( k ) } } [ F ^ { ( k ) } ] / n
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAEHElEQVR4nNVY0XXkKBAs37sEuBBwCKTAhsCGgENAIWhC0ISgCQGFgEKQQkAh1H2ANCBrxmOP9/lt/UhACehuugC9EH8XxjPEKJzaKvh3IYpA0ohprfjnB535FYzLCYBczmvFvz84ma9AOQMAkGvFy9M5MC5F96Jqmkdzn1Dj9+IfHPNVhO396VWpi45D1eKg7xN2yxvtQwMGb3TcSt+6hLQqS+PpA8IOF5hHBlkugJi/UYW0yy8tprpB5wjcIuxg1MNjOvj19RtUKC+R5WRlWX2S6j5hj+GhAAAALN6294etvgWdn7b2b5RxzYFjwh793QRZ4Uwkyeu8dwbEzrn21jjR+zV5Ckoe1sNWZNutSXyDsIeVd5szBALJCLFWVEm8NLPRQ3Pyh7nWnAA4JwDMr37Tlsxt4Kr1MHf3CcB8XhZlz8ssWwC4WABYzuMi4STmM0ZjhwGztlhOmKUTACwUgDPs0RIKypKkgzmy3UE5BYiejFrsW9udf1XYZPSYQC860qJlK0nSI5AMykQyKs/YG7iuJQNctBOjlpFkdLb3TlwFtzRApSD6w8SY4Eh6CUgt0e1ao6gXuHOsDdgTGIUiSazS4yTJqGQkaWFIRlhHkho2kuzyNhF966/bQGlAm6d1bIBPDoxOAOLdjmNr/04q7gyw+wD0yLPLKSItSZcq8wOIidKmaTkeoJirSnx63E8n/14tPETlX9OzNmBPILvVgKToAT1JuZbS3NLnmXLDgCKJR70eVG7I9XmGMknWG1cdahpUEn8Z5AhgxNxA6wMCAI0RAGaR1OAiDIAZosz7h1B4MVvojs8kQQKAzN6ootBCxLJcztUdEdIwgezQp1LSj7xoMj4ZgXl9GY7PJG+L0+Np/mWdHH5Xh5rlBFsFJCvo5axayCMCAKBt5IIsx/OYNXbU73gfoPBIsnDK6RbqHS1tlDHpr6gCYA/8m3rUdwi6LLTJ9WaVt/7hCFzPQmN+nmQLYGlGNTSFoapXAETnrVQ2lAEYzoV/3/47Y4+KcB1vLAoXIwDA4ZLK7zv5OAIySXKXvGs8yUOT30EV/vXA9Uyps5ypwwhZobXWpp1ITqvns9jbnuSUu8oR6D+SUShl+t7YtG4wsTrx3EaLsme1SYGWAITudoQNPbTWGkBHdlvy9lI7Z3oyaAFIRycB6BA0AHXQz2ZAgKF3/TpnIV1/uLA/wkNGk3QqdT8ZBJoiIYL3Nz45xGbALkeCEbtU/V5M1yuJcI9eJo+wJfFQb1+qj9OaUX8CxUVfPHqZPERxIysNaABIdfcC9RyUabINzeKGJ0baNrKxrl8ExsXu2d+IvvllFDBfZBDqiYGKs1Ap1fOrEcW/lz+BFsO4QPcC+5vOp7D92HrBVMZxnj+9p/8MNgMa9fVE+kk8/2vxh/E/b2BUC1TeKI4AAAAASUVORK5CYII="
\rho _ { s } \approx 7 . 4 7 ~ \mathrm { g / c m ^ { 3 } }
"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"
\rho _ { \mathrm { P } } = { \frac { m _ { \mathrm { P } } } { l _ { \mathrm { P } } ^ { 3 } } } = { \frac { \hbar t _ { \mathrm { P } } } { l _ { \mathrm { P } } ^ { 5 } } } = { \frac { c ^ { 5 } } { \hbar G ^ { 2 } } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApUlEQVR4nO3SQRHCMBBA0V8GA7EQC0UCSAgSUglUQiuBSKASqIRGQldCI2E5kFBOcOHAoXt6M/tnc0mlfJ7dl/0W/DjoGyGdZWwAimJzKkEbr5Zg7VECUFSbckF6PyYSUAvwphwMRuQQTcw7VgF7IHmPhG5oGTyAfykHAHUwEyk4gFX5CTdCrIG2sxApeo6q6qW7u0Unf1PVhTlrdlZVq+1P/k3wAKxXTsjNOrO5AAAAAElFTkSuQmCC"
6 9 . 9 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAj0lEQVR4nO2SMREDMQwET5kQMAVTMAVRcCA8hQTCh0IgGIMh/EPwQ7AhXFqpcDKTItVfedqZvUJCfM7ly/0EfgGOhwjGTeRlCZo0aNeScTfd1cIV+lzTDp1t2DFiQnWAU0RkskNtZ4GG0MjiJtAqKpYI+AlOkbGRTOA2UYRIsiOuZaIYCmBghGxKOZ/2X8AbGvabFrDcVM0AAAAASUVORK5CYII="
n
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABLElEQVR4nO2UUXHDMBBEXzolIAqiIAouBFEQBRmCAyGGEEOwIFgQYggRhO2Hk0wsp/loPjrTyX2ddm537vYk7cRr8fEi/y3wFgDgc33MQ0+AbKN9UDwM6bwBVYWJkhRsjUuSot9A9Qi5NABmTo/6zW4D1QKJBqCwLQVSs4EqD8gLf4gGUsJEgH42fm4gGUdKzj/zwERJx6aTFIJ0nCSFTrJ+saA7BbMi1FsopQV3NNCmE8wO9ukE1gG52XvrA0866DjfemniIU6SbCeJSRJu3GyhEvDumk2Md8loJI3m3DlVUQkst2DhXZKRZfqDopcYte7io7Lgtj1nZ6AfsEAZLJdb4OayouzuP9U25eCuHuXel2IbaHGzTSbY3eT4Crn7WeA38ffP+S3wLwS+AXAzVj8kK7CNAAAAAElFTkSuQmCC"
P e a k
"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"
\vec { S }
"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"
2 2 4 4
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABgCAAAAAAGffckAAAHc0lEQVR4nO1d3ZmjIBQ9M18acEtgS3BLMCU4JZgSTAkzJcQSJiVoCaGEWEIogX0wJgoIXJSsO5/nbQy5Bw43F7z8zJvEhph4/9cV+OnYBI6MTeDI2ASOjE3gyNgEjoxN4MjYBI6MTeDI2ASOjE3gyNgEjgwfgY9v+8nPmrdf7XK1IRCvF4ok0olrgsv0pyUKt4kw2InXi5EkHgIXKC2f3hLUs6sUQrxejCRxC1wjudk+PyGbX6cQ4vViKIlb4Ayf9gIskgs7ideLgSROgWswR4lILuwmXi8GkjgFznBSH+XKkzkurNqyEoeYWRAEkqckLoGvuh99q2PPDBfWbNmIQ8wsCArJUxLXPPgLufKEH9QyBWsC58K6LQtxkJnlQCJ5SuIQWJyTcvyk2gvdHL4I5HZbk8RBZpYDkeQhiUPgs8gT9auZwdo5rIkGW9PEIWYWBI3kKYk9lqSGd6lSj0UFZUBy2JomDjCzJGgkvSR2D245S336K0ND6V43fInXi14Su8BnFF7W8iQwRswlXi96SVwCew7lOc6zqxREvF7cJbEK3HLG/KwtHCP8ideLuyRWgRtvP8qXFdifeL3IvQT2nprkYkmFCcTrRSfJUgKni7rwjxC4k8QmcCv8m5lhwZUjCvF60UliE7iB/1x0UQ+mEK8XHh5MaWcmlnNhEvF6kYnWLjCntDMFn12jIOL1IgUHdgDAj/cn2Sj2cRgno2YhE/CAqZXZ1gQx1czCIJN0knRpjB7DnM2NlEevl1u+pxGvFzWKR7KnlFLKa4HjIKVA6zG23DTiFf7IQ9cICGDoY/A95rETE6PGUSLhggLTiMNw3MfvxqfAj2nRKPQR511sMYEXTn0akcA/nx8MdheYo0+tKBqRHGnJ7Ex8D35JLomhF/jeoHObjKYRxE5ezvNe4F2vQdN7cPfXYZTmfsncx4R/RhwDOwAcSQNwfkbxGW4pVRy4UmOyOIUb/z+RNr3A3YsGK5SV8lm/1FZbyvcX+MeECGAHNGA5AJZqQ4s+1lT9ytCncxxiuTKQjH75/ctjj7E93bhanoSB8epeKdFXR6TPah5nBSezJDuAI/eODG0fB9xrnIV12VLNz7vszcrnD4yfH3b6HqufAvNZw7S5CTtbaoVrHzwmGe5pTtOqHjwMQEyJRuOyOrFanoSB8RQsAQDeFAkAtGIQjvJZ08MJSaRkMO9zzmibJkuluK6IryUicRDU2kYj2UG0bJExRYtfieIPr3hBWxc4gB2aKd9W511EfAZP+WYSrwvvtvUZ4m6d5RbSXrBb8jXI8G7bkkOatYRMcaqP/f5oSBL9kHc5DuAdNznxWyY6pCDnT8SfQwvx9aeaRxyEl/xGBHPsi6A4UktPUH3w06W+1NB9mEBszJzz364jokvkVl0snSSWWQZS8/Nv0/Eq+pLR5b7f9qTtu6UQZ/jWH+bOOWGZTexoNjbODBdLjULKnaUHkoklyQ/TOxonJxD6HZSZ5rAUYmPmPBOu3a9TUxxz48xwsXAk9hAxsRJvntcJcugs6m76olujEBsDU1GHbh6cnLQGsAhkQQK3Bp8LWGoHu/eI3iYSsalg1ScaxPl4bCgDmjeHBwt3xWDjwbDuDVgPkki8Y5eCQouiFGLDO++tb9at+47/aY+pxpngZkEi7THYuN8sTz/STz3uhe+HbKtU/aVRiA0Q9QcDALHnRQ60/ikcfw4Plk4Sm8CMcaGRpS0yg5bh+/U+9AGHQmwAQ7c7c89PxJMeKkfTpKN6NOxp0MnSSWITGFnV6GHcnN3koR584KX+TQ9iW+a8852Kl+STNErjGnVVJhtYdLFwpwcjNe03M0opGjV35olDZVoH9CC2Zc67klX3ESnJqzZOberQnx0sd0nebBc0i1/sqj18Sy96yfNHEbSkWR1M1nyIj1zNnD+XbH6zGsBb98eNMj83Nm4CDpZeEutIaThvWRvPOwYe9TwhNSf7vYlNs4grSinlJWAL4QSHES6WuyT2c3KG42/mEBx2rq06pLXZv7yJTeiCYxqQb6BsTHax9JI4ekm7tCHH7aqV+0bu3fNP9P570Z3Al9jowTlu35J4o4eVY6qsjaWXxDrIgWVNo8R5jj/6InSQA1cHZF8AcNadwJfYCI5fZQ6UzaFhEOLbv0r+HE6WhyT2bjppOTIg1zr5GvQaN6hNKLE0ejBYeZNSyjoFkFCOyE9wmMtaWR6SOAS+JeqSc20YlSLcJuBHLKUsrMvDtbdeNg7n13SWhyTOvKmPdglo7fCBb6e9Yo0/AA9JXHf2FKicyahKqLukFoAPMQCkWfyzAHQMJHF1hcf9hnFupvtfL1aUUlKu9ZIX5wWHkS6mcxOvF5SL6ZyedIt1teL/68I3ytWK8urwpDLWqTYX8XpRki4HlYV1vTjiJb924vViJImHwPYbgvN4KkS8mjgqcuIFzfLTskoV9ZJfG/F6MZbEmg/u0SCdSqpyEfP6IgvxejGWxEvgDeHY/s1DZGwCR8YmcGRsAkfGJnBkbAJHxiZwZGwCR8YmcGRsAkfGJnBkbAJHxiZwZPwFnwcxaF4dB+oAAAAASUVORK5CYII="
P \left ( \frac { 1 } { t } \right ) = \frac { 1 } { 2 } \left ( \frac { 1 } { t + i \epsilon } + \frac { 1 } { t - i \epsilon } \right )
"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"
H _ { x } + H _ { \xi } \geq \log ( e / 2 )
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\dot { \mathbf { q } } = ( \dot { q } _ { 1 } , \dots , \dot { q } _ { n } )
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\lambda _ { D } = C _ { l a m } ( \nu \bar { t } ) ^ { 1 / 2 } + W _ { 0 } ^ { + } ,
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\delta = \frac { 1 } { \sqrt { \lambda } } \Delta ( 4 - \Delta )
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"
\begin{array} { r l } { \Gamma _ { 1 } } & { = \left ( \begin{array} { l l l l } { 0 } & { 1 } & { 0 } & { 0 } \\ { 1 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 2 } = \left ( \begin{array} { l l l l } { 0 } & { - i } & { 0 } & { 0 } \\ { i } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 3 } = \left ( \begin{array} { l l l l } { 1 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { - 1 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 4 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 1 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 1 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , } \\ { \Gamma _ { 5 } } & { = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { - i } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { i } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 6 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 1 } & { 0 } \\ { 0 } & { 1 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 7 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { - i } & { 0 } \\ { 0 } & { i } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 8 } = \left ( \begin{array} { l l l l } { \frac { 1 } { \sqrt { 3 } } } & { 0 } & { 0 } & { 0 } \\ { 0 } & { \frac { 1 } { \sqrt { 3 } } } & { 0 } & { 0 } \\ { 0 } & { 0 } & { \frac { - 2 } { \sqrt { 3 } } } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , } \\ { \Gamma _ { 9 } } & { = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 1 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 1 } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 1 0 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { - i } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { i } & { 0 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 1 1 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 1 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 1 } & { 0 } & { 0 } \end{array} \right ) , \Gamma _ { 1 2 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { - i } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { i } & { 0 } & { 0 } \end{array} \right ) , } \\ { \Gamma _ { 1 3 } } & { = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 1 } \\ { 0 } & { 0 } & { 1 } & { 0 } \end{array} \right ) , \Gamma _ { 1 4 } = \left ( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { - i } \\ { 0 } & { 0 } & { i } & { 0 } \end{array} \right ) , \Gamma _ { 1 5 } = \left ( \begin{array} { l l l l } { \frac { 1 } { \sqrt { 6 } } } & { 0 } & { 0 } & { 0 } \\ { 0 } & { \frac { 1 } { \sqrt { 6 } } } & { 0 } & { 0 } \\ { 0 } & { 0 } & { \frac { 1 } { \sqrt { 6 } } } & { 0 } \\ { 0 } & { 0 } & { 0 } & { - \sqrt { \frac { 3 } { 2 } } } \end{array} \right ) . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABFElEQVR4nO2TwW3jMBAAx0Ya2JSwKYEpgS0oJcglyCXIJSQl2CWYJVglWCVIJUweDhwDwd39D9kPAe48hgNwI3+f7T/2/wnwBKynec7sAoDW5tIlwP4Q/cgWTi9T6ebdAYDdG930OgGHtlzaB3iJUbUOqgNntcZV61nHQayp6vWqGql6ZNB+0G6UK4P3OdKrLqQupZSy+HQimFZKAEwEQMQMcWlU2K7wsmv75z3ATAGg0IBaASqMas+gVs76cKpbyAEY+fhDyUICRF0bJBMA683lZ+pg5SZb7kB9BDrmm2v3fWfG7emhmrGoI+/3NHzF6Tmqnul1ieID4HtkzTx+tcxSo1u+gY1AI+5SNDIftDa//wKATz4o1KKoNkYRAAAAAElFTkSuQmCC"
6 0 ^ { \circ }
"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"
= \frac { 9 } { 2 3 }
"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"
U = \left ( \begin{array} { c c c c } { e ^ { i \phi _ { 1 } } } & { 0 } & { \cdots } & { 0 } \\ { 0 } & { e ^ { i \phi _ { 2 } } } & { \cdots } & { 0 } \\ { { \vdots } } & { { \vdots } } & { \ddots } & { 0 } \\ { 0 } & { 0 } & { 0 } & { e ^ { i \phi _ { N _ { f } } } } \end{array} \right )
"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"
\rho _ { i n v 1 } ^ { ( 0 ) } ( \vec { p } , \vec { p ^ { \prime } } ) = \sqrt { E _ { p } E _ { p ^ { \prime } } } \rho _ { 1 } ^ { ( 0 ) } ( \vec { p } , \vec { p ^ { \prime } } )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABB0lEQVR4nK2TUXWEMBRELz01EAupBCykEqgELLASWgkgASQQCUQCSAgSph+BLS2h+7PzAYeTS97MEArxv14erD8XGN5vH+FMaFdbRvVWf3UHeiZJ9FdANLUk0VwBNbMkUV0AM06SpnQ7akvR4QAC5UXMjgpgOad8BcCvZlkAnzbKAJT+YkQy6VL+/hxiN5nezEygEECBAN7W2QDLl2GpquOIFL9PPUYzStH2x6KckyRnoyQ15c9192ABvG8NgDcAZTiOGI0Ubbtt2kjSuH2E1IOrbmX3udvKFEUb1jG3fAcyDW7KHFobANZrILUZzDHFL03Mktx2+IrMr9cNtRlo00MOeGTy2cA3lT5AJ1SJ4f4AAAAASUVORK5CYII="
\theta _ { 0 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAR0lEQVR4nGP8z4AfMBGQH1VAMwWz0tEEGNEi6xmDFJqK/6jAB43/H03BJnQN/9GtQOejO3KWDwFfzHr+jIAvMMBgjIuRqgAA5mVIRM0A+SkAAAAASUVORK5CYII="
_ i
"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"
n \neq 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAqUlEQVR4nO2SUQ3CMBRF7wgGaqEWauFZmIVZYBKoBCx0EoqEIYFKeJVw+aDdQpfBLyHcr6bv5Oa85HXE+xw+zP9AyXF5pcma1JsNwZJZlGTkPAzKcJnrfwXUKklGBkY5K08VqA6+NwCSTQbisoGkxmEKAJAdPLK7jnKTVwddXBjvZAhsHOIKNCkO2+3aNY0+m/YaMHgAmNymoKs3OUKQnd0H9vIN9/AbwAM6p6mhmw2LywAAAABJRU5ErkJggg=="
\mathcal { C } ^ { \infin }
"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"
\begin{array} { r l } { \Gamma _ { j } - G ( \omega ) } & { { } \geq ( 1 - p ( \tau ( \Delta _ { j } - \omega ) ) ) \Gamma _ { j } - \operatorname* { m a x } _ { i \neq j } p ( \tau ( \Delta _ { i } - \omega ) ) } \end{array}
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\mathcal { H } = { \frac { 1 } { 2 } } p ^ { 2 } + { \frac { 1 } { 2 } } g ( g - 1 ) | \alpha | ^ { 2 } \sum _ { \alpha \in \Delta _ { + } } { \frac { 1 } { \sin ^ { 2 } ( \alpha \cdot q ) } } .