image
unknown
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string
"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"
N = 9 7 3
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1UlEQVR4nO1SwXXDIBST+7IAGcEdAY/wGcEr2CPgEZoRzAoe4XsFRigjmBHUAyahPSSXHqMLgq+HhB4d8RwfL+ZvQRVcnQPmYZk/4+N0d8t8jYjOdRCSNAfpDSu++4P0SlJRBCtJhVbB5CvTM8MEIMNWh81uS8h/Q27eVJpvSdKQykbOy1Z7j0CMJO3UWAAhaPO2HoCk1iIENSnXuQWAXxlCUIMQgbQAwLgB2G2ToVAl154k6cWLZ9PDHfJV1kOPs4dL3iGPiq0vxAgA5BjRvX/1Pwl+ANRtpsYfdVpIAAAAAElFTkSuQmCC"
[ 2 , 6 ]
"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"
\tau _ { \mathrm { ~ r ~ e ~ s ~ t ~ } } = \tau _ { c } = 1
"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"
\mathrm { A d } _ { T } ( i H ) = T i H T ^ { - 1 } = - i H
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABHUlEQVR4nO1UwXGEMAxcMmnAKcEtqAVSAinBLTglOCWYEo4STAlQApRgSlAedwcSPjKTuTzyQC9rkVcre3HFeC5entx/EvwLgtdf1C4jAKBvSKIsIyb+IdJtyyRBraAPRdux7fKaXCmsKlACtB7mKVhQ3BQ8kCUxD+u90BcbWJkncE4pHxNkeFHtjHGX3Rl4Wxs4RQFVEIQairtenBCZ2aE+IgjYLiFZUNgx5IGZmS2kMEng1CENzqDRM9zFiUlZOnFWBqGYL/h4+xxXpPu6LczBNaIpuuVAoHtiMDAzk3KSIvDMpRWHVbDHVEygnFi3mF1hRVoH83ivTb9EVVPJR3XeXNp2G5y25bhYbWT9N+6+PQgqkOp81k+CvyD4BpM1EfCXsd/4AAAAAElFTkSuQmCC"
t \leq 5
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAdUlEQVR4nGP8z4AfMBGQH1VApoKzs866zkIRYUHh3avYzWB8D48JncYMDAyCqIb+RwaCu///N76LIoRiwp73DAz3XJRQDGBETg8VZ9+HCqah2oDiyPflSqja0R15D1Me1QqhdxjyqCakYcqjmoANDMLoHqIKAGcyMx7K5GyXAAAAAElFTkSuQmCC"
\rho
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1ElEQVR4nNWTURWDMAxFHzszUAudhFqIBSwUCVioBZAwJDAJRQKVsErIPlhLoBz2sZ8tX2lyT/rOa1oxzuPyof8fwHVziv0AQlBO9TbVWMRd0cjM7MnlugQs3DvroA4Aiy7nqi6BFvUKkysADzULwBcAwQo5Le+BGfB8FMmoAdqcOjnhuJ+djNBLEhoYYKr3ThKyrtnCzIUGvQ7VCrQeE0AIuTaAhIg0yiCNHTcvuDqpzHORQJoEkPfB+OZmCfGBbgrihkr8izBEaKGvAA7jF9b+e+AFvqozEOrZ8lIAAAAASUVORK5CYII="
G
"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"
~ 9 3 \pm 2
"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"
\langle | B | \rangle = 2 5 5
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiUlEQVR4nGP8z4AfMBGQH5EKwirwK7gneBa/gtUuxqsxVfxHAOP/Z9L+owMkE866MBiffY/HilmhDAwumHYg2/D//10XdCsYEelBWYmBgWHPXaUKBoazu7E6EgLOdPz/H4rVkVCwR4kB2aUsGApC08/eM8YeDnDQcQbBxjShk4EB2QTG0VRNJQUAdk2QruhfdJEAAAAASUVORK5CYII="
\Delta _ { g }
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"
0 . 3 : \frac { 4 } { 1 0 } = 3 : 4
"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"
S _ { n } ^ { \mathrm { ~ s ~ } } = \sin ( \Sigma \phi _ { n } ^ { \mathrm { ~ s ~ } } / 2 )
"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"
l \geq 1
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABJElEQVR4nO2V23GDQAxFrzNpYFMCLZASRAm4hE0Jcgm0sJRASlBKwCXQApRw80GwWVuxM5PxT8L9AnHQ2dHy2BGPzdOD+2+CTbAJ7giOjxW0+/ZnLaa3fVXtDt9dppteJY1emYzDRVHM7zEnE6TELpE0if2pqInUuelY1qp1mcOUVYcV7AkYOyXJQWVF1RwiSdKkMTNrSlvDmeAM+4K+WOZiUZpxuWeeSgr6tcyiW8NFLrgY4XO2Xa0shyLTe2UBAIoWBQDE+vAaAEwyZLBWMWAK89kCu5s8yjDUvIqF05piIlUv4V5V1a5gb0RuTM9L6Ejv6XLhOTvvl3loSwA4jgA+0Ha334OXEsAkjQ+7gmxbEMNt5DZ8T/Dr/O2v6SbYBP9F8AmfHCwFN4AMkAAAAABJRU5ErkJggg=="
x \leq y \Harr x \subseteq y
"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"
\int _ { 0 } ^ { \infin } { \frac { z ^ { - \sigma - 1 } \phi ( z ) } { { e ^ { x / z } } + 1 } } ~ d z = 0
"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"
\alpha = \operatorname { a r c c o s } \left ( { \frac { b ^ { 2 } + c ^ { 2 } - a ^ { 2 } } { 2 b c } } \right )
"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"
\mathcal { O } _ { \rho } ^ { + } ( u ) : = \left \{ ~ \varphi _ { t } ^ { \rho } ( u ) ~ | ~ t \geq 0 ~ \right \}
"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"
( c _ { 1 } , c _ { 2 } )
"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"
m \ddot { \mathbf { r } } _ { i } = - \nabla \Sigma _ { j } \phi _ { i j } - \nu m \dot { \mathbf { r } } _ { i } + \xi _ { i } ( t ) ,
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAHB0lEQVR4nO2c7bWrKhCG39x1G+CWwCmBUwIpwZRgStAStAQtISlBSwglaAlSwtwfmKgJxi9i9nb5/NmLQPRlRgYY3DkQdrbMP98WsPNZdgdvnN3BG2d38MbZHbxxdgdvnN3BG2d38MbZHbxxdgdvnH/HNDqKEpdPK1nGL5A4CXf9oREkRMjGNOwhG3WXRSyV+NNw1p/DuMOG8m/B5j9E+XGFI41lEn8ejvrTmoPz8+nPSdmbnZMfYbxfIHESa/SnGcwyIuLSOs69ZFGYcBaiPyfxO6zQn5bpb0QUcFujIKGiWHATZw7+nMTvsEJ/WiFaANACQPjncDgcDn8BfT6dYqj4ejyWTuLFQu4SnxX+IImTWMPkHXdnrCDKkotPF05ElUgoY8ufIper6IwVH1D4PT5k8gedRIcOMw5IX3EoCSCUfnn1hx+S1P6slWHZWzcXHWbcnUKUYela4TTmmnw8LWdXot55iRuJhKiCkHLMXC/tO7aI1XXuRvBdoiOFFLH+ujWYbfLRtDNZJ18CAEoltJKAwm3Rs1M6fRIBPCS6UvgJiZNwbfJXWiE6BM/zvwBSD4rxHIJp6NP8AJY7t95doiuF0yQew9MJyA/H01n3XvAw5fbOTW6hGcyPspdQxbwbUcKkvLwNAJcgufQFucIjchyi7xInKDQSe8Jw4dGEEG3ShxWIfL+vzbSujjJ5EYy51E3erC2XmT7xqyAgkhmJIEAjzJQKojkOLrLbIlE2iTKjXokT5uCCVZRJokyYckvpzexaP5B2H3fJiNtbjjpNekaFACAiHd8YTEItkueLd//clMBnBpVrmSFENPPbjiWWxzIKEMbiwk36MBeAZgCgz6KJ8DxeqHghqmeymeVgHpi/OWfITbfkWXiPz01pLtyLZ3+3uYgridxTAeClGQNOnmcsmQsACEXQtGNRGH7TwyrpqVgSPC6SEhCRzMhPKGoqWqUZc3Bmz87OopYoM+qVOBCiL8y0vqcPWUU3VhHR7VkmL74Xogu/p+XEEaxDjea5lfGZmWV+qNi5adUtzSHPuZ/nkmnla6XlhGDfVehAItNAqRJAxfJaJlfE0AUDcDURQIWclb4EIK/B2ystIT1LKG7ZQ9UVvG8AT3vgXhNpSUDvx8CIEfysJZNEkSSKvIIu3uV1qExSSEkwrLBfDGUg8mxfNzmKG79RZBoH8nMjOMjoxm2Lz3aF7ebNPvh4GCC3JdJy1bslHM1DTOszAUBoDqY8iLy+15DCozXVN02iTUwOaWlpznFjT0CbatlzstvwUGqKY0xeE0l1ugjLRVoVVpoQHQ2ZQUCn4givY76PvwfVis4iG2jLbAqXSuRA3Bv/UF4roKwNPPggPb3YMsLkzY2OibBepKmw0jj4XauavkSa92aOfFdX80j+DLzYw2zjqMtyhS9iOFLR/+0SDOW1foaG9XUZYfI7+hR5pU1Gb0XNpNdm+xJp/psbvKursUXFmSxXaBGT2tdOEgA40zqtPaXnbvyH0Ufp6+PYimNrrpi0imbRHzHGY8vI0zLlaZnyuEzlVYV+inDsTT+i0Le/HCVyCXDvjye5uaHquW9alnzhFjlW7GS9vLUib4f+pWu8Mazw2uwXKO6L9cAjIqKKV/eumhR9TYWK2ILXb8Zbr25ptuk1szJZOwDA/djEblVvtIP7SE9VFMMrU9NKCQbh/mStn2vWCjm/wMEOItxniMJTIFCfOapY3n1Y578fa0IGYMEJoBy9Nqlbdoz16uD0yvRjo9GkaVbkqjir88S5hD5X7L/OtNpR+B2JhqhkAMpAeQBvXmNu5b8fDOrrdsodLw5W54o9kv3qdBHxdeX/+TEBri6ck5cI11H4HYl3OACY8NJdiKVKQuemCVeavdvIAHjulENeHMy4Zo9tQStNsxp1gDMzGFQonyNcR+FXJL5B0iP/fZ9XeBTqYMjB3U455NXB3pFHwsx7nTTNWtQBzphHK08D3QhnFOKLEgdgN6Tt8pjA2za7W55W2pVImpV9BqICA6/EOF3oU3MGaQo3KlhFvLXLMApdS3SMJ6vhRi06ZnfKcyarVB5wNfNeJ02zGlKfy8eA9QR4FJ7aEc4oxDclDnPJpv3nWMfsTnkO0SL4y+HXK/t2msY1vdHoOcA9R7ha4QoSV6RjdrdYx3UmH8ekdZpmEVPTO2MCnGOJP4JWn5xhT3S0VvbK1Qp1QnpnzKbnExK/zagN1UR6HNys7F3l2Byndz4h8euM2lBNpCdV+TCZSdM4YFZ65x3uJX6fNTJZTzjZltXDdnJ6Zxw/M1H9Uxj5IyzL0UfBVOudm1RpuZXQ+pNZzcEA0nIfa6uz5nFhrvXv+yGc386aI3jnC+y/VblxdgdvnN3BG2d38MbZHbxxdgdvnN3BG2d38MbZHbxxdgdvnP8Bq/3GmssnD7EAAAAASUVORK5CYII="
{ \left . \frac { 2 \pi e ^ { 2 } } { { \varepsilon } _ { 0 } q } e ^ { - q \left | z - z ^ { \prime } \right | } \right | } _ { q = 0 } = { { \mathrm { l i m } } _ { q \rarr 0 } \frac { 2 \pi e ^ { 2 } } { { \varepsilon } _ { 0 } q } e ^ { - q \left | z - z ^ { \prime } \right | } ~ } = { \left . V ^ { 2 D } ( q ) \right | } _ { q = 0 } - \frac { 2 \pi e ^ { 2 } } { { \varepsilon } _ { 0 } } \left | z - z ^ { \prime } \right | ,
"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"
R ^ { b }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA6ElEQVR4nO1UwRGDIBBcMqkgJdCCLUAJtEANlmBaoIRQApbglSAlxBLIQwWMMeqYRx7eb2d2171lThZwbC4H9afBfxlIxiRqs0Vzl5ShMI6DVrwNq9MUgEswrUAwvOWrn7dSiBxfo97CiTl/Pg2XnwxKAwiy4HpFr95wTNDeRGk5db7aEmNuUBFItahTwd5ntOXlUgdQekI094y2fPTRwEMBIMR30JsqzRMIAD4Z8PUnnRjURW9TxEj7OhiUlKg7OxiWpxhgbwceBQDfpcU3djAek0AIITwAPL/fkutlYsTs/K2fBr8weAG866GPMBG+AQAAAABJRU5ErkJggg=="
\hbar = 1
"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"
\tilde { h } = \frac { 1 } { 1 + ( a u ) ^ { 7 - p } } , ~ ~ ~ a ^ { 7 - p } = \tilde { b } ^ { 2 } / R ^ { 7 - p } , ~ ~ ~ R ^ { 7 - p } = \frac { 1 } { 2 } ( 2 \pi ) ^ { 6 - p } \pi ^ { - ( 7 - p ) / 2 } \Gamma [ ( 7 - p ) / 2 ] \hat { g } _ { s } N .
"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"
\sum _ { n } | s _ { n } | ^ { 2 } = 1
"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"
\mathrm { ~ Q ~ B ~ E ~ R ~ } \approx \frac { 1 + ( 1 - C ) T D } { T R _ { \mathrm { ~ B ~ } } } .
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e99wqJAqPjCXtfR35UIroMtDvlGZLIHRevC8IFd/twMEzHrWnScSZeACF/G2qPpLX4K6rVZOlUB4YNnpTOpPsqqDlOOq6hfegCpKnFS+p3Z6La4UERVuBpjc6m4RnmYlou8ZdZqWiUOHdDkL07BX+RWiqdFoUs9NKN2mdDGcckOnO3hhG6FqTnJpxOuq6hcMgVB2SE8W7V0hbKqQ3Opvcxto1CFvcf9RZI1QcwfPqlepOg6qf5K4wpSTWHSa0f4Se6/w7GL4prUnSYtqeZ7VtEbw/iygrhYKdKH43heiNblsqLh6Xlw0LS3axeY3QgYP3ChOTI5C+Gq/oI/RvcJfeTED7dUZZ+KV+oGDiUdw8rDD/zAEiXSpz0pbdFLLnrG8w0FXpwMGdHh5lIlQI0au8V7QfkX6MvmjBZP9dMu2O5ah2dJVJuum6Gbq18yqTFmHjHRSPd4jfNqAEysMh6/0vHf5+302yIYKDZ317ITG6DyMvWi4bhDPvzxqTdNR1l+iWDE8cvUMdqtPpeRzNWyh+l7Fsc0qAM9bfxhg5+N5rbCJ9B+eZUIYfoxvC2ZJVm116sxWsMklHD1sCJOUAwI85SO/4ripN0+6P9lf8WzTCOsUzcQwAwPPhHOmtHTznwoF3AQVYJd7i39eMLyQMwpm3Z5VJunmzFQeK8vuUZ6d/GcJb7331Wv8Win+LacLGHDkGh628nYP3F9lSEOHMQYL+0U0BgKySL+oo5XK28Wl4Nln1cty8WQaE4bX5Dk0QCcs7leDg+yv+Dzh4LweaNSfX58Aoe2o7jIR2a07SU7y6r8SGt8eFOP4SultWVTfCSSlZW5RfnJPLoMzjQWTHbO2IG4XsySMkT3u5t1V9w8MhNsVIaM/B5T1+c3TTo+mMySf79zKTbIuKFefd2Eb9LhUVc+5xq5Bdebx61KbIul/J6wAjob0Q/aI5cpTcSsZJ+IGrJlgXXlUHWgBAtvXJ3A1MFfeqKuac41ghu9Jb4UR1CFGyyXP3bWIm1FV3876sCq/cdt2F6oX1osWd2WUs2517EgAgkdH5vk6FWvg++G+nPXQ7Y7Jj36dw23Ur1/lJ8S7fH91lLNudQPOJh32FegdfZ5IxcsZAotjJ7EWdbvQm7u1aIZ4pvuq9W7A7VZZXAKG/wCRPJZL3b6XnjfAO7vF8MMMjmzwezwfhHdzj+WC8g3s8H4x3cI/ng/EO7vF8MN7BPZ4P5v+qOuRxr08Z2wAAAABJRU5ErkJggg=="
\begin{array} { r } { \frac { 1 } { \Delta t } { \rho } _ { i } ^ { n + \frac { 1 } { 3 } } + \sum _ { j } \varphi _ { j } ^ { n } = b _ { \rho , i } ^ { n + 1 } , \quad \varphi _ { j } ^ { n } = ( \rho ^ { n } \mathbf u ^ { n } ) _ { i , j } \cdot \textbf { A } _ { j } , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABFUlEQVR4nK2VbRGDMAyGAzcDtYCFWKgFJgELtQAShoVJGBJaCSCBSch+sLZ8pLsG9v6hl8v7kLa5tCC4phIA4O7OWPsIeHTvE/5p+RIRkdUklbcsADKtFIDjBjBXo8xvGtoAqGlSqaxmZXcAq2YJoEW/Kr9niqoXXYH2Kw8A/RT43XQEVE7QCwMcAQiCdnQYlrECGPIBk+IAAq2KLdNZeeIBQ3FUxwNubFTb45VoJi8JAOTDjMIWpmwLbE58BUjUyALiDgPACcoGjPcYK0DF5rKqYycEwFDn+wGr2LZ+HoBoJJkwDzzASCeS/x/sA7kl7GaiMTI/zdupPMrfhVe9BmjhBoiI2kcENPZnakLLKRR/eZ2v6ANJPQU/OIkkZwAAAABJRU5ErkJggg=="
) - (
"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"
v _ { 0 } / c = 6 . 6 7 \times 1 0 ^ { - 4 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjElEQVR4nO2SQQ3DMAxFX6YR8CCUQigUwyB0EEIhFBoIHYQNQgYhhdBC+LstOVTdZZdJ9cl6/vq2pe/Efp2+zA/BzwTn2t6MNRppZo1WsT4VpRBVTBqHSpsVAYDZQ3dny0HKvbRYUWhocwOvNIHl5H236ZCHRaNUpClU6mqiLh54cO15jvULd0TufwRvbJRn4Q5+lq4AAAAASUVORK5CYII="
^ { 2 9 }
"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"
\frac { d \mu _ { r u n } ^ { 2 } } { d t } \approx \beta _ { ( \mu ^ { 2 } ) } ^ { ( 1 ) } = \frac { \mu _ { r u n } ^ { 2 } } { 1 6 \pi ^ { 2 } } ( 4 \lambda _ { r u n } - 3 g _ { r u n } ^ { 2 } ) ,
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y5kQiaIanWAK+NE5BKZL6T32xzS7KbhaV+jPX/Z+BV5uBL0IxxjwaX5Rgy3ay9VhFRFGzYsIFEZUyQkBFxxXt9uEtZEWts5p8JEREqP9UorXupUdU8X1sYFXjU62w4R3cH5aZWpjDo3OfoWNnZZezNCZjSqV5J6Q+4WkuYVjGALAyPHkMOXe1cRNzklwr2ebjJaeQ5d4+NrCqcQioe3CszNRdDg9MqoUWPgdgUsuMWz1PDdA6jtJm/1sHUWorOVBom3VHzyDQ9raLZRSpWznSUsBqyI5e+FXtxwCr8eou8EUY22Bp8HjJAyKft7vaJywgIsGJKGEFUeWLioiCgIgq7oYsBvdnJ+kTv4RP7YHsgjm0PnkREP2v6SbMxY9Qe/rUJZMAS07nAkgTAMzNb5VlJwDW/uPJz58qILPAogpt1GvhogLL20uIOPfAQiNFM8Jo+BGAWG9fS9s1Ps+MVwoAFJ/t0+nn8ADIXakkfsutkdBAYMOvPyddC8g2U6C9rDn8Ej5OQPp00oDGfFduP4cH3QWszoxbA34ZeVyd2yxnADaXb1m4ZD4+TkAAGBCL+R1DP4cH3fWHdn6jIYCYB9n1KpqFKw4gxp5M7t/AxwlI+NKo0BTA5U8Xf8dbALjl8ADwnYc4VPBdJ2SYD4QWAI/qDooDgEn//Qp4rzYDn48yCLLRfw6Y8VdkRFcPAfkulNBnJRGVkqiqw98TJERUxxNGtZ+4YhmR3JPP+HfwgVbY0q03+zk8AJCwk+QWGcCK+CRhbCEBMHbmsG7QYkmqtfjXB7DxXZs/FWEcDPzoinPA2I7y9M2/0740HOo2LYLV/7gLCMDn+oGW4VuF425gR/uS98uws3/cA1Tj6IE6SHOrAdGmiR6YxiGgA5vwcWb8gZ/FIaADm3AI6MAmHAI6sAmHgA5swiGgA5twCOjAJhwCOrAJh4AObMIhoAOb8H+ibJG66cyWywAAAABJRU5ErkJggg=="
A _ { F B } = \frac { \int _ { 0 } ^ { 1 } \frac { d \sigma } { d \cos { \theta } } d \cos { \theta } - \int _ { - 1 } ^ { 0 } \frac { d \sigma } { d \cos { \theta } } d \cos { \theta } } { \int _ { - 1 } ^ { 1 } \frac { d \sigma } { d \cos { \theta } } d \cos { \theta } }
"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"
k _ { c }
"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"
F _ { a b } u ^ { b } = W \left [ e _ { a } + { \varepsilon } _ { a b c } v ^ { b } b ^ { c } + U _ { a } ( v ^ { b } b _ { b } ) \right ] ~ .
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"
\begin{array} { r l } { H } & { = \sum _ { i } H _ { 1 } ( \boldsymbol { r _ { i } } ) + \frac { 1 } { 2 } \sum _ { i \neq j } H _ { 2 } ( \boldsymbol { r _ { i } } , \boldsymbol { r _ { j } } ) } \\ { H _ { 1 } ( \boldsymbol { r _ { i } } ) } & { = - \frac { 1 } { 2 } \Delta _ { i } - \sum _ { a } \frac { Z _ { a } } { | \boldsymbol { r } _ { i } - \boldsymbol { r } _ { a } | } - i \boldsymbol { A } ( t ) \cdot \nabla _ { i } } \\ { H _ { 2 } ( \boldsymbol { r _ { i } } , \boldsymbol { r _ { j } } ) } & { = \frac { 1 } { | \boldsymbol { r } _ { i } - \boldsymbol { r } _ { j } | } } \end{array}
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1 . 0
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"
\begin{array} { r } { C _ { \mu \nu } ( t ) = \frac { 1 } { \pi } \left ( \frac { e \hbar } { m L } \right ) ^ { 2 } \left ( \frac { \hbar ^ { 2 } } { 2 m e } \right ) ^ { \mu + \nu - 2 } e ^ { - t / \tau _ { c } } \int _ { - L / 2 } ^ { L / 2 } \textrm { d } z \int _ { k ^ { - } } ^ { k ^ { + } } k ^ { 2 ( \mu + \nu - 1 ) } f _ { 0 } ( 1 - f _ { 0 } ) \textrm { d } k , \quad k ^ { \pm } = \frac { m } { \hbar t } \left ( \pm \frac { L } { 2 } - z \right ) , } \end{array}
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\left ( \frac { A \mathrm { _ { ~ q r t } } } { A \mathrm { _ { ~ q r t } ^ { n o t g t } } } \right ) ^ { 2 }
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\|
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3 . 3
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"
\begin{array} { l } { \mathcal { L } ( \mathbf { R } , \mathbf { \dot { R } } , \nu , { \dot { \nu } } ) = \frac { 1 } { 2 } \sum _ { I } M _ { l } { \dot { R } } _ { I } ^ { 2 } - \mathcal { U } _ { \mathrm { B O + U } } ( \mathbf { R } , \nu ) } \\ { ~ ~ } \\ { { ~ + \frac { \mu } { 2 } \mathrm { t r } [ { \dot { \nu } } ^ { 2 } ] - \frac { \mu \omega ^ { 2 } } { 2 } \mathrm { t r } [ ( \varrho _ { \mathrm { 0 } } [ \nu ] - \nu ) ^ { T } \mathcal { T } ( \varrho _ { 0 } [ \nu ] - \nu ) ] } . } \end{array}
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"
R = \frac { ( 2 . 5 y ^ { 2 } ) } { 1 . 2 5 w } = 5 \Omega
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xfX88Hne7XQBgLk6n0zAMm83m73//+6Wlpf/6r//q9Xqbm5uZTCaO46vL8+FwyMTxPY9dCaa8NV1qc3Oz2+0uLy9Pp9PBYMBApLVWShgTG2O+fLlot9ubm5tv375dXV01xnCGBgCm0yk72b1ebzAYjEajx8fHh4eHpaUlzlmNRiMhweJmFEWJzyoEAIRhyKFPEIUA4Pu+lJIIjYFMJhOG4eX5xdHR0cXFhed53759+/btW9cLYjwh0ojIsINCGGMmk0kQBGBDJSEaK2srKyuZrMdURsRCoaC11mQIIYwjVuVMJsO5dt/Pbm3tjMfjdrt9eXm5tbXl+36v1xsNxowrl5eXrVarVqutrq4yEF1fX/f7/XK5jIjD4VBK2Ww29/b3Dw4OisXiDz/80O12jTGN5eXew4Pv+xxgKaUqlYrlCmtqYvwPDw+Ze+y9MGOIKI5jz/N6vR5Lzd7e3sbGhpQyjmI23Z7ncRfZbHZ1dbVcLvu+f3Nz889//vPo6MgYUygUlpeXh6O+UorTo8PhcDweTyaTKIoGg8F0OiWD+XxeeooVtFarbW1tNRqNbrf7/v3789Oz0WhULBZ3dnbevn1bLpet/hljULAXixaaeb9PCBGG4WQyyefze3t7L168KJVKuVwuX8gSUTCNAGA0GvX7/fF0wqLtblIw25aXlzc3Nz9//vzw8MCZjg8fPtzddovFIotXsVhcX19vNpv5fL7X67VarX6/XyqVwjC8vb2N4/jFixfPDw6UUr1eL5PJsNRuNpuZTIYdJSnls+ZGs9n0PM8aApHmv1W5Wsnmc9PpVChpYh1OAwTjKUFGxFF0fnZ2dnq6tb29uramvEwYhp5SQRAMh0OlVLFY9H3f9/1qtVqtVj3Pq1QqlUoFEY+Ojqq18h/+8AdW3k6nc3p62ul0Hh8fR6ORMYb5CiSklChFEARKKe6k1WodHx+fnJz4ytvc3Nzb29vb2yuUSrExsQ4TYBQ2ppvhpNaGrTq7TEqp1dXV3d1dIcRgMOj3hvf399MwGAwGDw8PDw8PLCicVRqPE23IZDL1ev2bb7755ptDREwsXKG0vb27tLTS6XTOzs6q1Wqz2Ww2m0qpbrfb7XYfHx+DIOj3+99//z3zuFwuM3gaY1ZXVz98+NDtdrvdThBMWJJKpdLr169XV1eFEKHWUgjJ+14AAKAAoFAoIGIul9NacwasVqsxNY+Pj4UQ29vb+Xx+Op0CgPDEcDgcDAZSymKxmMlkWAHZ/iul1tfXf/Ob34xGo5OTkxcvXmxvb0dRNJlMAKBSqXDowP6e7/s6piiK/GyG4T6O49PT05OTk1arJYRYWVpmW8KeZalUyufzYRiGYWhDmTjmLcskqc62KgiCwWAQx3Emk7ERNRFNJpOf3v+z1+vxEzZXhUIhn8+zBxSG4XQ6Ze3v9Xq9Xk9Kmc1mPc87ODgYjUZsTW3cw95Xp9Ppdrvs1PT7fdbCcrlcrlZrtVo+n19ZWVlfX7++vv7uu+/iOJ5Op57n1Wq1ZrPp+z5HkELMyjzZ7CmlVJJCMFEQTliigyA4Pz/v9XqHh4c7Ozv8Gqcxut3udDq16WcbDMZxHIYhIrLeXF1f3t3dPXv2TEpZq9VKpVI2m2VhKRQKSiljDBkUQkhPMXeDILi/v/c8r9FosO9w3W51u12l1NbWFs9ESk+I2Ob+KNm24shUSiknk0m32x2Pp76fLZSKIFAIWSyXwjD0Mn6z2Ww0GixSbNgKhUK5XGaJGQwG/X4/n88T0enp59FoxG6V1joMw8+fP5+dnSHiZDK5v79fXl4eDAbD4bDf7yulXnxzsLOzgyA5Ns/lco1GwxYgNJvNL1++fPr8C0twqVTa2dna2FiXgGhIICIBGUIAjiAUppvHnNLh3MxkMnl4ePjy5Us2m339+nW1Wp1Op0r5RBSEwZcvX4IgaDabS0tLnINim8weTi6Xu7m56fV6+XyelySlrFQqUspcLmeDpMStkr6UMojCRB2FePnyZaPRiOOYbXgYhg/d+9vb2++///7u7i6Kot3dXc/3OKQVsxIfIiLPU0R0f3/PnmupVLq9ve33+1EU1ev1tbW1RqPRaDQQkd1fmxHgWQkhONrQWp+dnV1eXi4tLe3t7WUymeFw/PHjx59++snzvN3d3VYrEZdXr17V6/Xvv//+5uZmdXX1+fPnCDIMQwZq9vVZG9h+s+9aLhSbzebBwUG5XJ5MkryDmW3pAiIm7qbv+5VKhefU7/evrq7a7XYYhhsbG7VazVrFIAiuv1zd3t7WarW9vb1KpWIdYiLyfT8Mw5ubm0/HH6fBeG9vr1wuM+04nGRnieMPfsJJPUJgXNJaV2tLyyurZIxtPB6OLi4uPnx4f3Nzc3p6ur6+7meKTi6Ob5D5xK7U3d3d3d3deDz+j//483g8NiY+PDz8wx/+sL6+zllhJoSdA7sevMYwDC8uzj59+mS0Pjw8bDTWokjf3Nx8/vzZ9/13797pKL6/v+d1+b7PaVwpZb1S9aUKogQkgyDJwSDi/f399fV1r9fjJ5VK5dWrV/v7+9ZNtXGrMUYQCcQk7GeDUavVer1eGIa8MJYXlqZMJhNFutfr/fzzz1EUvXz5stlsGmO0iYQQsQ51TEKI+/v7X3755fr6utFoHB4e1mo1SlP0TAJLjjAMM5mMIYiiCKVTvyOE73la60wmw4tfX13zfTWdjv/yl790Oh3OjnC3SboMScpEJAeDQafTGQwGvq+01jc3N4VCYWNjY3Nzk8WO7RMLMqUpEJtD6vf719fXHz/+PJlMDg8O9vf3AeDk5OTjx49E9Ktf/Wpra+v46BMrhFKK8/9xHBcKBU5WsXPLQQVHo4+Pjz/++OOHDx86nQ57+RqoXKuWSqXxeBwEEdsRztCHYZjYGIFEJpbKL+SzhUKBPSLP8+r1+vPnz5eWljqdDgBwYuPT0Yfr1pe19cbhi30UpDyhAwOIAGY8GXU6nR9//LHdbu/u7v7bv/0bgwbnTvjGuoNs5aIoSqp+CQSgrzwiQsA4jADAEAhFQojhsN9ut1utlufLaq3s+ZJhU8fEWX0hZBrAR+2b69tOe3mlvrO7RQZ9319eXm5ubiwtLfGWGmlDBBIFGQIUSvks+EEw6ff7Jycn79+/Hw2GOzs7Svonn89aN9dXV1dEdHBwsLnZJNLDUR/QFEv5bM6fBuP+4BEF5bNZVNLgbEMhk8nkcrler/f+/fuff/6ZycjsH4/HN7e3/dG4Wq0STZgl4FTW815MsitcLBar1ep4PH58fFxbWzs4OFhdXVVKnZycTCaTXq83Go1OT0+r1eqvfvWrzc1NKWUcs4sU3t7e3t7efv78udPp7uzs/Pa3v93e3tZaj0YjW6Rh/7c3xhig2a44y6AtviWiMAx7vd75+fnf//73wbC3v7//+vXrbDbLKCGE5NSvxdK7u7vz83Ot9c7Ozv7+vlIqm8lnMhnleyzLcRxLFK5xYuUbj8et1tXR0dHHjx8fHh7y2Vy73b6/v59MJoNRP5vN/vrXvz48PHx8fDw7O7u8uIjj2KadOL9u9zvY2nMqbDAY/PDDD99999319TWrZi6f8TwPEO/v78/Oz5eGw2A0ZhVhXGEvyRiTMCoMw3w+v7a2VigU7u7uarXa4eEh80lrfXFxcX5+7nne2tramzdvnj9/btKt+F5vcHZ2dnFx0e128/n8H//4xzdv3lgX0ElNAjzJMcdxDERpAD9L2GitiXQYhg8PD+fn5+cXp4+9+42NjW+//fbZs2fW0ZASpJJcAsfW5fLystfrLS0t7ezsrK+vExEZZLzizRshhEDBICOl1CYejwPO+nAykAGWhamxury2tta9v8/lcq9fv67Vaj/9+OPHDx8Gg0GtVqtWqxwqcCTHG0iZTIa9ba31Tz/99P79+/fv37Ob4Pt+Mh+Dk2D8/v37m5sbKaUk8Dwvl8sBQC6Xe/PmzatXrzKZjGIKsjqvrKxsbGzwviHjo+d5LHr39/eVSuXdu3fLy8tsIVjWhsPh1dVVEAQvX77c29tbX19nP5jNiVvTBE8uKaUlHKO21jqOzXg8Ho+Ht7e3p6enrVYrX8j++te/fvHixfr6Og/NwYrtn7tiA5vL5TY3N2u1GgclfI7Lnh9DRC4tB4DJZNLp3nU6naurq/Pz89vbW96O2tjYWF1pNBqNZ1sbq6ur9w8PWutsNqu1LpfL6+vrpVJpY2NjdXWV6yA4R8BiCgAcEgyHw+Pj4++++240GvGuEpvMMAxNujXe7/cBgIyJpgHvLNTrdbbrxWJRCVRSSGNMFOqMn9vZ3ru6uuLMMePV1tbW1tYWx0SlUmk6CYNppJTH5qFSqezv73uet7KyUq/XecG8SWPDJTNfMGfVRQiRFo0IhmMeejQaDQaDXq8XBEGlUtnd2/7222+r1So59ccsgNbBG4/HZ2dno9Fof3+f7XwURZRupGsyNkVoDCmlOP79cPSx3W4zg589e7a8vLy9vd1sNsulAlsIzskKIYzWRLS1tZXP5yeTydLSErMqjuNyuby3t8dVVMYYQzoIo1w+83x/9+jo6Pr6mohyuZxSin3xarXaWFtdW1srFosA0H/stdvtq6ur6XS6trbW3NxSflYTKpnWwPNG3tbWVvvm+ffff//+/fs3b96wVrK2sr/LW628bKlwaWlpaWmJFcKmDjlSscXErnWxCsSRhBQeEbVarbu7u4uLiy9fvvR6vXK5XCwW6/X6+vr69vZ2pVri5CA7tZwMtXaCffTT09Pj4+N6vX54eMg6nW4KzPYf2fOJgpAVnYMtxonV1dV6vV6tVrneAcFwNp6Iax2TszhSyqWlJesEs/eVyWRqtZpJS2EYvZVS+/v7//7v//758+fHx8dMJlMoFFZWVpaXl5eXl9c3misrKwAwHo+R4OHhodvtcsFFpVLxPC+KIqXJEIGNNmq12vO9g7PTi8vLy7Ozs3fv3nGyhIhQiFhr0iClB2CklEBgNCgv2ThhiwcAnLXk7KlVEXKqh8jZd+p2u3/+85+Pjo7CMCwUCltbW7u7uxsbG+VyuVDMcVkIWxEhhDGxEOilO/ncW7vd/uWXX4QQu7u7y8vLbG+sFNhwhwFWKgQwmay3vfNsfX09l8tVatVyucy4JAWQiU36lpQSTcxlC7xLxEOz5PGUuGcGcIurzLDDF/uN1eXxaOr7fqlUqlarlUrF930/m+GEXjabVcrP5gvLjVWtNZKt1pfKpjOZUplMZnt7+9WrV3//4a9/+9vfmFLsX8dRBACelwEArWdlUZPJxGby+SGLs3Bq720iyDabyxMjrq6urq2tbW1tbW9v8+yllNpEzGDuip1aIlLK12kJYL/f//Dhw83Nzf7+/t7enk3csqNhNFfHz86EkonZliwvLwtUiJieMWLORVa9wKlHTE3I3EE4uy6bkrfBALtnjUajUqlw2omDHpkeg+Jwx2JP8mI8iyjwT3/6kzFGCWkRhrc/f/rnPz5+/Mhx4tbW1traWqw1Io6HgTFGSrQel6GY8ZDRn59bH8z6Ywv/J3xCZWfJ+s7mPTlEgbNqG5tF5sUwmLTb7f/+7x8vLi729vZ+85vflEol4ZTAU1oexaRPhM8ks7UuItmNVCJM9yiNMYjkipHj68/gUTiVjjgjCfeUMjgt0TLGIErP85TvyfT0tu2ciMDMagdnB/UZNNnnWVlZefXqVRRFXOHx5cuXg4ODWr0+mUyG/dHS0kqlUuJ4FQCkkJRmal3gwn9R5c4r4a1AMiSl5K64fRAE7NEh2nOv7EcZV/+UUoPB4PPnz51O59mzZy9fviyVSm4Mq7X+6riWcjP9nq9YN86JA8tO4ZaO4Ow4g9sz/68Ua5tzFgWk7YGrqHV6YsKFdwAA54R7cnBJg5FCJiZBkOd5XAJRr9evr69b7faXqyv23Debz1ZWgAWWQBMQEDBXFlBxweDb4WmuXG9WMEdOIWDKJ4d8RjOO8xUEgedlDg5eNBpry8vLVadkwtoklltE5AUvMMmKgmCtAm2jTkc55oCLF7GwLntvkqh57mAfEXGpb6KdpI0B0oYPWrKWJP0Dn65O6vGTAhEmiic52ayjKOKsdbVa3d3dbd/ctFqtwWCQy+WazSa7PXEco5jF8DJFN5crrni6OEZpkgoxOaKXqgXMMTiFMkpPE9iWURR5XqbZbK6urmJ6IM/zPN6OdLLOM6mH9NRgSqPFM5sO+ebOMqQYhXa31GXYwmXdRfevLp8QkUsGKTl9AAsk4pkoRFJKsMeizazGmU0ub21VqtVGo3F3d5fL5Zoba7lcdjweG4plqqReekCSnCI/7ken5+cXLtdZcJNF8xozYycidyUZbfjTEbyR6pLD9py8SzO5TqnLh3jRpB+zITIAoIQCAnREwYoW90q0SGtrP0xScsXLdI6KGwRA/qyCS3rrVfNAmGp2ctCPocxy0ooMr42FZTweK6XK5XImk+E9Y1tD7LouT4iYxo1PTuvYe/snKzsAs/OFyYxx9pZJC66S8CItmOZ8AeJs5x/SjZYZiZ3REYxJN+hcniU2A83ChPlQ0sw+zx/ds3GSvaztYTJYoWRQSTYkKXEdhRBIxqokOGCuILWTro9hi+cSly6OuaCUywZMWsVKpBFZHCz+zDYWXQCxNFpgHjkJgpmYO5dLJkrNKYdgfCCW8+Q2suH2bCxnHaZGFa33hfOHUezRPTHHJys91tIvar9AIAAzGysZlkRKDEcznBEX2Ml/4or0mJfAjxKZdfTGxnRaa5PupUdRJOY+UgFKSSGUMTGA4PNw3KFJS4G/OglLca7EFE4t57xUznw8kW6iiLRqWaS73fxX9rAxdaZh/pr1DBJQp8Xss5N5ll4L9iltIJ6S1ZU82zwV7lkczRfPk20kbwyyiCtIyOWyHBGVZI0GgHm7TWQ/l8JgTWQM16cYzcxCREEECFIIMBoSfKAEXtliEc250bbDRJfT8vOFBaR0Svwlmj/E9RRyOUxbiC5nDLYsIWMQiIQBIjLsESVqAezaoo2OiTQLHKJIRZcQkZJPlpAgksjegUl5DwqFIcMfFNI043RstOTyef5cBgBXxHGffNaADAIiO5+LkvVU0MCRcQAwRs+vmb+DJlIjOXsl0UJcPEvG15yJdh66TEq6ck7jJfxy4N4FuhSrHa7Mf0sGUQLNfVABrOvlHHBd0CE7JqQl8ACglLRyYIGdF2GlJ3UDZ16lXQWxG50Kokk6nzlmc2n5BfI9hXtIkk9zPpXbzFU4uyR0zpfMoB8k0NzXYhaIMqMOp0zSp/9qLMuVOSY5kJJKkoDZJ5hgpn/O3NKeky+bOWt3baTQWtv5aK0BjFLKXZA7H0HJBwWkEOyoCTnTeHDCWB4lCTDt/BZwE+e/EASpRXPnukDTBbj8H66F7JmLUW6H5HhKuMAzhwQuTS2AoHOKyp2UiwRps7lonNLAMG2zaE4oPQ+NiFrHxhghQAjB3+xhWTSOvrLNXoBZ2w8kQpO8K6VUrtwt8AZgTpkssLiTc/nnkszpRAKhSa0V8EckANzz/7axmT9nm3CaHAf0yXenXPZYrszuYe6JMzG2Fl/Hw3Q49wTzV75QJETyeZzkXiRLSH8K5J3v+UCC5yOlBKAgCArZnFLKgNBaa8PRgkQERU8k1GUmLOovGj2nQPb5AoakAoULtv2ptrmvLDRIbhDApgPmheDphG0nc+xx/T3BNE3ymuRcMH/hXLi+KK+sK7xdg+nnrDTXqTvUsP1aXbGqo000Ho+D8aRYLHqZHCKmhxek53n/D8Zuz1f+VtZYAAAAAElFTkSuQmCC"
( x > - 3 ) = - 2 x + 2
"iVBORw0KGgoAAAANSUhEUgAAAqAAAAAgCAAAAADoeJXoAAAHQklEQVR4nO1c63mjOhSce7/bgFrQlsCWoC2BlKAtQSmBlIBLICUoJeAScAlyCef+4KEH6GEWk/3h+ZMEo9EMHOkcCZx/CC+88Pfi3+8W8MILKfwXOX6/fAFCsoO6ub47f1SVeIj3drkCleQ7tYXNAeD9Ov9Wy0ekxHGoQwA7NB7Dksb5NslDq6afTGotwXr6U6hu/Gk4hNZa60YyMPUIw6R0bvOgtrA5ERGJxf8jSiIdHO5wn8ZjWOL0p9jsZNDID9B2uut6JFHgJtFhW6CuR7cImU83NRDqiBM3YEqpajFWpi3afBLDxIS2WEgExzt8TOMhLHmjJ9k0Ych7AdpjMsGZISIyDFFXg2JpcSMUX3paHBLVKCdWYyC2wCiqQJsvwG8+QhRE3rc5fEDjISxFRs+y2QeEboAaPp3boR5/kRDbnXc1wNUQ02YxU9IA2NMNUJUS182sBbpIm4+g+YT8bfs+h+UaPexlKTR6ms2GeVrcAFVzZKt5Em7CGnVU1XCgLO/0mCtF7VHVwEaC3iQWk95uHLkZbSsEzeej6dv2rQ4LNYbYxVJs9ESblTfxOJ0NS21QzdOsBlZLkV4CTG6MuFaIjoior22XckkMypvwlD+KUsTOhdE5bRsImk9I3raEw/Hg0NTLseMdFmncUP04S8yoFEJ1hoieeSOjArX3sbPN9IF5mXWF3Qm4+4v+y+UKruqN3YWv38C14vj6Bbsw+1x2Du5wdxfW7aPElRVSpbVtImhu235+3SFqvmoQFXL7/YUbB4DLR70cPd5hgcYtPMwSN3oBvgBW3b7FpuAfwvnUxipbpoUlxAc/2AfFALkaMUREZCrdMzQ0cKWWMdHZSa7y1m5tOfEMOVbcMW05SK9gF9V4AVmQhhJCurqbe+S2kH+Cw5zGDMpYUnraWutWKaXsVHmqTeUUuU6K15iKWOptp173KlVNm55IQZJw865NDD4TKbfSThNPGMa1X0xbDkOwdITSuhUIyoSUEE0kxh4Hp+463mFOYwZlLEk9U3buKkt0qk0bieQGqFo61pEgqIEmuffYQyhvoNpNrd4zQgrM+StLTET1WFnHtOVQe4U5yfFiSPhbARkhfOyxdVauxzvMaTyEpUBP78TnuTaNO8U+EqC9ZGAyNZxhywQios566fw1d+VN83liaqesujNA28h2HfdlZYRM96a2I/wJDnMa0yhkyevpufPpyTbdsbQVoCYaBLldCeFnI2lnGn/tZ8LgyhH3c0zEtRHVCKBWzUOsFqFJIeMldDcCn+Awr3GP0RVLRo/xS7VzbeYClDCz9OtdLl0DLFZnSH/6ZlZM7ZXWaiNrpYh7tozThDYlArTr5mGnfsLKCBkDVLoZ/gkO8xp3GN1ymtBjKr9UO9dmNkD5LELDFscLBsWAeiu9Gu6pdxIDcXfkGLZZ90eJjWMrrW0TJnVV2MbRiJAenIgGtpnhj3NYpnELD7NE9dRefJ5tcztAWzv71fPjxDbyjLYVAF+Xw7KBW4PWzlMwLxXI6APcTWJTOSqy2lbwmo9Hlg6iJFtCNAQRycrerqc4LNa4arKHZVOP9DfPT7bZu9OcDVDncDsHc5CyHfQb71p1yrjD1DhjTbv5WKWu+JrYt7XSNrTpdWNwVXoiahZ+yaKbImshGoJIaZvhn+MwpnGH0SKnaz3NRNSN4XeuTW+q9B51cnvh2XQKS2RR03Cnez1QL4gYNJlm7sdektZGrqkzryH5xGQq1mmtdaOU0mttVbCttmLzm0tURGZWppNSAiGkURnZdu5AfobDiMY9RgudBnpa0WttaNkBOtUmEUl3ceEEaGvriWZ82VJlNnLcLdpKsZ5IgqlqonETgwJXrdZatxIiv+/sDnYRrFZ9bUPmjcSwOQBNVFcDEVHLcw9pvFlHA2hJ2sv0JIebGvcZLXbq6NHj80suBM63SWGh6gSo4faDhnGlBIsl+DVqsI6INCCm8HcSg7HPXnnmOdgKzWo7xdPWZuaVsPk4sbRAJQSrC96mczAALRFfssqzHG5q3Gd0j9Oq0bqRHPPO+ak2KXjSSf843+r8fOsXAffLHXzrnZAIbrfxkep1eRHg8tsc9Y2mAK62t0/VZE73Mb7ucf26g4uytzAsrozj+nPp8GkOtzTuNLrTKYD7FeMtPdUmcP8hXaNugOLtplNSLrfgAE99DesNXanSx4hd3H5UfWkvxwh5/xiWmDnD4YTzjS440yaAt5tv1J2FN7YBXMQfYGzAlH0j43FiD4lV+B4UCLF10DkOJ5xvdMapNoma4MuQ3gyK6y+lwj6cT8P3L1m1eR4A4OO9PDE8ROw1/Nke9K3hUiGX92G2dYrDuf3pRhecaRO4/O79Jn6AOiXkn+I4plQnbEdxtROfdwngp1pmiVMczn2daDTs+kSbwPUaDMQgQF+I4euXaoB3PLZSeeFP8QrQQtx/QIoLf8XnyXgFaCk+P25Civx5LxyKV4C+8Ffj9d/tXvir8T9l/M5f8XC2GgAAAABJRU5ErkJggg=="
( 0 \le x / D \le 2 0 , - 2 . 5 \le y / D \le 2 . 5 , - 2 . 5 \le z / D \le 2 . 5 )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4UlEQVR4nNWTUXGFMBBFD50awEIsxMJaiAUs8CQUCbHAk/AioZEAEkDC9qMPsuHR8teZ3q/M5Gxyb3bTKL/r7WL/L4D3srztK5FTAEgZurY+Qq0W6LVW7eFQ/GoywTr/ZHK931eBecg+GJO7h9G5hyr0qh/ItHvYgEi76BPQSPt5AEaIugMq37hJcYNg7hXWoU4x1xE9pNOYRvkKCDXQlRKAZCw9m+AJJcXS0h3fYfLEDVh82dfSzd7JqNBP0cmjdLMxU51STjhxwVm3dfev5uFENTBAPswD9vhN9prmP3y9L7Xc/6MlUEj8AAAAAElFTkSuQmCC"
\Phi
"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"
\Gamma _ { \omega _ { D } } = \frac { \nu _ { \mathrm { o p t } } ^ { r } } { | \nu _ { \mathrm { o p t } } | ^ { 2 } } \frac { 1 } { 2 } \omega _ { D } ^ { 2 } ,
"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"
\alpha _ { 3 } ( { \vec { \theta } } _ { 0 } , { \vec { \theta } } _ { 1 } , { \vec { \theta } } _ { 2 } , { \vec { \theta } } _ { 3 } )
"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"
\sqrt [ 3 ] { \sqrt { \frac { n - 1 } { n - 2 } } }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA6UlEQVR4nO2UTRGDMBCFH50awMJaSCUECbGABZBAJRAJRQKRUCQUCSBhe8gfpaXQ4dID75Ls8Pjyks0kYezTaef/B+AA/ADQWRLm46XUmY7feJPa6JM58wMPX/oEoyl7QJvVML1RAMkQ4ewn5loBOndV6UbKMZOBBECdr32ClAhAR+sJrD3UIUEvPB0AqkUATTAvgE5YiNXyFqR1+pViGzuBsUnn9qgRQNMApDRg+gh23RhIFNUtLe4fu1hLqJpZpcw8qLwQ0eYBdbvhNgyDHaarJO5NzMTyuX1VuEhvp7VRyfEqH4C/ADwBDXHXxmW6XsoAAAAASUVORK5CYII="
\mu = 1 . 0
"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"
E _ { \mathrm { X } } ^ { \mathrm { L D A } } \left [ \rho \right ] = \int { \rho ( \mathbf { x } ) ~ \varepsilon _ { \mathrm { X } } ^ { \mathrm { L D A } } ( \rho ( \mathbf { x } ) ) ~ \mathrm { d } \mathbf { x } } ,
"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"
1 - \frac { 1 } { 5 } - \frac { 1 } { 1 0 } - \frac { 3 } { 1 0 } = \frac { 2 } { 5 }
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\frac { \langle \sigma ^ { \mathrm { i n e l a s t i c } } \rangle } { \langle \sigma ^ { \mathrm { e l a s t i c } } \rangle } _ { \mathrm { f r o m ~ 1 0 ~ k e V } } = 5 . 9 \times 1 0 ^ { - 3 }
"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"
S = { \frac { 1 } { 2 k ^ { 2 } } } \int d z ^ { ( - 4 ) } d u [ \bar { q } _ { 1 } ^ { + } D ^ { + + } q _ { 1 } ^ { + } + \bar { q } _ { 2 } ^ { + } D ^ { + + } q _ { 2 } ^ { + } + + V ^ { + + } ( \bar { q } _ { 1 } ^ { + } q _ { 2 } ^ { + } + \bar { q } _ { 2 } ^ { + } q _ { 1 } ^ { + } + \lambda ^ { + + } ) ] \qquad .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJklEQVR4nM2TTXnEIBRFz8xXA1jAAhZiAQtUApWAhVRCKoGRkEhIJFAJtwsSknSmnU0Xvav35Z1c3g9cxO+6Psn/AfCyBe/TYrwHFnsmJEkaXIxAlhR6HVWB4IqUwEvF+HsguCJJFqTIfAdExuoDKibqO5AJNY6g6HQH2M20h7yazcGAjUVCPd0KZ3BJkjSa2qIZhSz9DqwdBJI0e+jEQCs7Q6lRV009zNcb9jC61XrpAAiwYGmDCdtclVcnyMDWeHDtiMOZ+zZfSTDBtLRPHwTDWnnxqXYxdM1lwBRhIKn0dpAygG/50TBKJAATi6Ri9oKk0dBLQjnGYf1riPsmi6sDRI+15X8CittW/BjY82qX9qS3KfTAbb+0Z6Vn7+LzEF/+wdv8AhBH2rUqabMKAAAAAElFTkSuQmCC"
\alpha _ { 2 }
"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"
b = ( 0 . 5 7 4 \pm 0 . 1 3 6 , ~ 0 . 6 7 2 \pm 0 . 1 0 3 )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABMElEQVR4nL2TXXUDIRSEJ3WABSqBSqAS1gIWqISNBCJhK2EjgUjYSiASvj7AbhKypz196Tzx83HuMBcO6Ge9/LL/J+B6/tqGb6/bMk2zl1Ws42w0r+srkKTEaHyGMloNdMAkjUC2g5ENUUsHFCMLgK+zSAeMUroBwZYe8FIByB7ImugBK1+tjoD37AC1ql8g3TkEalCuZnK2VtePaB+ibCkMQHEF4r3DWw5B45xchtyus+nQ2n36lAtWetcs6XqRtV0vaLUyEI0ZbHoo0VRMhOLkCrhlB4imwCCzrJl0QFaCSTWUOT4D3gNeNakdIClDUYt9TD1QTADmVoHhyWQ0pQIzwOL6a2ZV2+09DlMP+HYkKgIp0AFpfcjFmTiFdX/rhY4mrA0+XYz36+Twr39zX9+y0jw3MiA2kwAAAABJRU5ErkJggg=="
\%
"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"
d = \frac { \sqrt { 2 } \Delta m ^ { 2 } } { \sqrt { L } } \sigma ,
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"
\begin{array} { r l } & { f _ { S } ^ { \prime } ( p _ { c } , S _ { c } ) = 2 z S _ { c } - 2 z p _ { c } S _ { c } ^ { 1 / 2 } + 1 = 0 } \\ & { f _ { p } ^ { \prime } ( p _ { c } , S _ { c } ) = - 2 S _ { c } / p _ { c } \neq 0 } \\ & { f _ { S S } ^ { \prime \prime } ( p _ { c } , S _ { c } ) = - z p _ { c } S _ { c } ^ { - 1 / 2 } + 2 z \neq 0 . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAxElEQVR4nOWTURGDMAyG/+5mIBaw0EmohU5CJ2FImIUigUqgEqiEVQJIyF4K7CDA8255adJ+d/+fXKoYx3E5ef8N4CrehkSOSs5CmI7fuuSSRBgN8qGHdKvRT4Uk4Q2hLbkAtJ6ZrSvVdxcpgByh0QDIbNoc7/Sq8sOTzQFJ27WHQTtmNuiYue8XwRkwNDCz1sPK0QR4PKV+lkFFWIihysop7OzePEkjv8+ALmeTdwAXRwCoUe14QB2fFEe7UVL/8S9OgQ8TeM7rnChGmQAAAABJRU5ErkJggg=="
c ^ { s }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtElEQVR4nN2TQRGDQAxFH50aiAUsYGEtYIFKKBKwABKKhZVQLCChKyE9wFLaScO103/KTt4heZMtFD+ng/5PAKiq6ucq5VVz2KoAYaluAtXDAfTOqzZnqCqIszekAC6QgNIBpglqB5gvEPr1cX7rtADzKHUTsIAlZTNG2AjTg0B2aQLasxH2mjUwOGsiLC6+ArvYwIhvMrXAamr1ECFBigBpGhLSZRHWRUno8r1o8Rcf5xB4ApWWnhyb4PuiAAAAAElFTkSuQmCC"
\mathbf { B }
"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"
\epsilon = a / R _ { 0 } \simeq 0 . 2
"iVBORw0KGgoAAAANSUhEUgAAAuAAAADgCAAAAABnKoz8AAAZ6ElEQVR4nO2d67mqOhCGv3We3UBWCbGErBJiCVgClAAlQAmmBFOCKcGUYEpwSuD8ABUVkYsXwLx/NlsluHQcZiZz+cnh8cyX/z79BjyeV+IF3DNrvIB7Zo0XcM+s8QLumTVewD2zxgu4Z9Z4AffMGi/gnlnjBdwza7yAe2aNF3DPrPEC7pk1XsAHoZb06bfgacQL+BAoAvv0e/A04gV8CBbi02/B04wX8CFYyE+/BU8zP76ipzeklBMsCD/9PjwN/Pv0G5gEzomqre3AAcAJJtLi0DNWvAZ/jFXM2m1pbTtlLAAuAwn8xOlH35nnId4Gf4hK0nRDCgBA0ZJv8jzfBdp5H3MKvNNEcZO8m5tox8CkXgOwK7kHAAgBARjvY46et2lwF/2qd13rmdAqFABAAGjJ18fHpQAs91HwsfMuAc/+VBC86VpPJaP4dJxUjiUAywH3gffkac+bnMxIse0k7VVa8B0A/Mgt6Ffsqs+5RShtOEm763t4jw2eTFW+oYklAFCY3Jd/g4PmPooyct4i4CZDPE35PgZKLARgrxJP5Nb7mKPnLQKegcWPXzUKXMUTlhJwSAFgxescCC/f4+cdTqYzmKR/CRx9SKdjAAz25nlz+5BnTLxDg+sJ6bpro9pJAMhECEDC0FVc0Czl9k3vzNOLd2hwi+lmTUsLwOk1AAiJ5PREUejA5FRsr2/lHQJOE9Lg13ByoGhduMhrplaFzaKXha0uvJ85ct4RB184TDalyy65pPAYAqJEE+eADWIOAKTIxwnHzTsE/AfTFXCQvciUhQHASoFPrAnXNed4xoMX8P4Y7pZrX+4wbny6bH8k9+mEo8cL+BAs95koI8cL+BCMV+Bjxwv4AHxFz/jxAj4Ab4KPHy/gJWr1t9Qdz/Em+PjxAg4AMH8UChN1bDRoJptD9j34ODgAZGrHgB/sO2lkt9h4CR87vvEPAJWsGWDR0eLwJvgE8BocoAXbA7R0HcvqIvh9+iGQdjx4dZ7plG1w+1NhEfWub9ckAb0Uu45BP+NTZYeQLKwwi+aCERpQT2IATF6DmyUQCg5rNdC3j9pKhwAPutknlJHweSgdsZXi3EilsVvgslHB9euXlDZpEafkPSuRljbYAED+el55FQCHPM/zfMeAuN8aDNvuJ+3jHid9OxKQ5eEWPM93AG96ffDgO42xufdUCog8z/MpmygACCizWcUGyHpZKZb6OIs89R5mZ9y5UZJCAIhNvGl6PaG5ea9md8NYhGKbeeJRFIvTbrlkBNPHaPBTdt5GnOBocRhwAA+6naVZoxlo3f1nYyo6OUxfwE9uuDC9+6gRA+CUr855MeFZIKlNY3XRqN+hG269rIxwTd9Eqf6NvWJOgiEh2Ej5oMjEUPctlBMTF3B7aaT1Su5jKVO/P0mQTrb0f7boxuwgTQ32i82KfydvorCjgJMB6+f3hUHnTUzPGzBRc7V6Qz8pFxkICUxdwInOSlsDfePSPX8Ynm4oDZg4BaAcAG2K7nh3oEQ9uCVrfu/pLDsGUSZuolSCKDShBojfinCm8r/miIBZ8m1zPx1NdxS4W9JeoBxOMG0NXgmiJA5bb0SPmhDx7/EIGURj0Iq2jGo0+E/1P1lpZ19tYVMqcDp12gJOgCAwwCWabXz92NjpoIECwPTsiCYAsvMQcAsI9ydBFmHs3cSZYSFufhFnp1NFDblHdiYa3IIxsdeEoDZVyo1rgI6P1HSjaR8HME0xhbPyn7SAO4IA+LVv6SJW7ICp7P3vqQE/NbYTzjUFUUiLBn1xPnXaAl4fR0pMzYOeqdHcVl43DlWwp1MnLeCm3m3hx4ye1KvMCVNngp9pnBpC7rTBPWkBr4sjwcv1TKgteT3dnDU/e1g3zo3FPDT4HRPFMwcM1X25y9OROx/eODfmnMEx6Z1MA1ZzE1PL5PbBj6GWj/LNnXcZ6ugbBQeqPuakBbxWgdtlNCaBoah5d4OSxUI1veBrMRAM9vqzKQvS9gguy9MuqTSNnLKJYmoEPKPN0o7IbnnUn9NmmO6MxZdiAafMnYqH5hA5ufPTExZw0oC9nusXA71KLF+FffBmDFA7Y3aOWLKAM5DFkWk0QixgF/G9kvtHQcKKWmlRCz2Ul1zlvLtzVd2+OxVuf55DyiHkuuEVwc37ny/yJHLysfQdALm79+SlhXJDXBTU53me55PV4HdjgeYjkRXnLoK2ZRzWCSbSpuJD0ghGdL95Lduao7uwXcP32GyhoGKhTNlEuUPz3es1WMWsPTZ+c8pYAFwGUsDGjV9FBuaD9vU0qakH33HV8ZmdgJNl7TR4Qg5p+dKMLGdh71wopTeMftUaACgx8YYDVivx2MfUSH0GVmecbWxpWPUxp2uD32ONsO1LY/DD8XiIJbzFLs9zyfI8z3f8dPl4l+cpDndPy/M8bv9mPWdiNLk1+bZigk+9s9UtHUxwztwx3dANiLzQqpiETABoyU8dZ6UALG9UNaq5qsVTT0NDK+AqTWWGAi6RtGtWZWOelZtCdoCnl9E5opNUjiUAy5tqDyn1VXY9oPWm8WNz1UzxiXeXvcH+IX7g2J34W+OP7xgAJOitSmnBdwDwI7eg38tmqW4RStvftvf04jeo9G2fnZMJhubf9xkrEGfJGgBs/8iLJlbkvohb+8hBc2+EvBMCUxfKam4CLnaNVm8VI4HUKBkAsP3FsAyUWAjAXiWeyO3XBLlHgomEXVe/hLkJeIddHiMArP8iyeCo/Wmukv8jJeAKhbGq3XH38v1miNz64ouYnZPZHscBiJSiYT5m4UM6HQNgGDByw/MEwnx/qWjm5mRes6zJnS3tht9i63FpNsEAHxM/cgsgsjsA9g+HKwtJO99v65PMzkS5IjC4dDqtMUVU42iWrP8i4QZocGkBOL0FACFNcvLgiYGU6dWT3/M8Xr3rlL95J/OaANeZZ+Wb2RyTDlNIfjdv7TEh9vlBlrNi9gzBvlw+zfM8XzdvunlezdxNFNCCsL7Qoouix1tCR1270kPen11ySeGpB2iiiXPABkWnrSTrNj3Z82RmL+AwS7BdVciSQADGKIS8EHxaiBb5m3che9newAA4JXwt3X7A0p7BzF/AkWSQzQLcJUrYkZ9wDSjrk2I/xReECWMO09zD7W4j9cEYCNCy33hDzzP4Ag0O+wd0HdNdgzKOhR239LNkz1ZdT/I8kUYNTvMYISliIBq6iPmjUJio4yfiOIs2Xr4/SIMGp0xtnrLV/GkNDvzZoa1dM7VjwA86xkQWwrm9T4n9IA0a3GazSaXYMGSD2gGpJGZA52FszrmYGkfheV5Mg4DXNj+cJjwGuloXVSjhIUDHvuOt0UgDMa4m5d9Gg4C3GrY8EWJ5kQXYFU0S0EvR1VW1XCIccmHPUBps8KV5Ujbz521wwC3EvS5JLVjpEOC1Y1Ia+Qk2wAI7LUbUTe67uJts5ZSB0S6dyTeT1VgX7RP9TL/2PBoCQLpazeVTnCD3BNwpgIPNRfNotb5Svw8S/ayqjP6xPdsdyhwAAp+N8kHuCThPNeRs9pddFF4LM4uZuffrtdpQVbv3dU/L+KCX7w9y38m0M/piVnW5IHd7obiIb683ZwgA3Jg663tacb/g4VHj3wmR2F3NZou9F9Tm1+6oYJSkzCrmi3MmR5MGn4n9DZPVOnlGAlBRC63MUqZ+f5Ig9XuSk+OuBrc0FwVOkbzSvEmKMtFv5VplEoZB501Mzzg4C7hmhUQbE3I8WYF/9LcS0XWEMEsBWEgqEv1sRYkH9ZEVNpdf+9dxFHATOXYAoBMHteOnFu5PwNaPa30Xmb5uAFgERRxnUVmOXPkpezU9MwoBpywDOECREXCkUsCAQ7lnBAo/O83SZtedCqlQ2EYsyzqEuQT7PTX8AwAbyd0fOGgpD6BfWAAWOntOINx+co4YRWSXFw+UrXmcY/FK+54Oc6cQ8A0HwGmVSoDJMrHUXW/+Vfmpe7A+51pBfu7Gn1nU58lqpFJkIQDYSkKr9Mb2vPgHACHgALkKK9/ujj1JKhMa0DZqOMWfdOrIeWqtZrlEGKnw4kFvg8+Oo5PpACMKS6LYwnxgl7ZOD1QZPplqdPe3pQMgzLJACzGoaYRn3JyiKIAuOnjQE/PAnTYG6Rj3/xoT/ZwiDUUDxlJ5xsJRwAko5dA+MWytMoxTvpsT/XiKdd3jE0bptmMBZsZxq96hbPMEg5Zz+FoQbmOWDC5ofwVfluhH0Uf3Ij7I2UQ5hvI0nhc741wGSzU7dTg95pNY1JVSwN3JLjHnGVXuWGRLEV3f4Gpjb3XpGiKN1PdMqx4rM0oN7UrRZHaL48TS4DybNDg+mwLX/YVr14prG9jy6lxOzwc4pBxCfmcf59IGN2CFirb6nPTMj34nRzjgDhfA+sEeb8KZavWRK3MRnGAibTlbcW6UJgodbbQE5/3L9BhEDm4VdocyeZnhbnGY55lYxawtBrPAKWMBcBlICLQdHTo/SgE/OiGJfUKXyis4/Gimt6D0htGvWgOgxMQbDlitBL7ZxzwLeEaCW4NKq3ily0nqRtGQvb7Gadaep2GiHQOTeg3YlSx27YSAwKyalHWlEHALQAEiPqf92aQc20uRHvzxeA3+emhVOEoE0FKcIrNSALCtp+POjkLAHXCwrpoXndFmaQUAbVKefe0NbkJkdIoOJOfDQjdZXo4F/T6K1m1Jxg43Ty1cOfNxpYe1uB5D67bZQ4uiGcCP3NLvVZs6twil/dLEmqOJcqujrZPlfe2LLbjpoIkVlUoC5vrbdNB8Nk2cOlII+M1HUn3M0fdacNOh1FEWAvY670Q+qYvqFCkqeurKgvUxO8Ur8DFSbcosJeCK1PcVr7Mmv/gLPAr4jQYne0wqdN8bRJ0QRSTW6TXAfNTqzD+gvu79pMC9Bh8l10a1kwCQiRCQMHRzRzbPS4KeFP8B9SbK2Sy/28PPMyKkRanAISTOrYzK3BSz/NLGof8B9TraQCIh1DugntHByYGitQCANVOrwmTRy9JUZ9ft676FfwCckDcybAnKxgxewCdCqFeSygJTvk/0gnPABsfUua8trP6HmnbBAACGosjhbhttz5gQeytOdiZbrw1QqT0kRV8aCL87hOqUvvCL203OjtfwO5kfJrEm/NK6wbvtk48/fke+vdnUMaH72oz8xln1wFenEs8Gyb831PtYwJnX4NPne0O9DwW8adaeZyqYb1XgDwTcwdCXxk9nxRfbmfenrAFAYvGlHb/mxfea4E2z6gFYEk+Qbx8mfCbKOBZ2LEBZ2f1r3sz4aTZRhPT6e1yYPwqFiTrOXjafG7HxaZo1+JOu4TX4s8jUjgE/qO+Kew+3GFZzOGWabXDPuFDJmgGdZ3Z+sQnuNfiUoAXbA7R0225BkWic/X1JOx682gZ+GAefGC6qHY/1GPtTYRE9tVXRs9bWJAG9FF27j5lRhnqThRVm0Vx8RANqk8oGyG9o8Pniq+zk4Xi4kUOutQUQrrfbNEBNp9x4UHfW5rVbEiAMw3Tf7aRDHI6mr+wuCE5tikOk+R7NnYd3DGnPSx0EgjzP8+kL+IGJQsD3MQcbdC0cm0jv2K0UhhgkJ41rt4Rh2/2kfdzjpBchAVkebsHzfAfwptcH/ZVBWv52Ji/gB8EKpRACcrsdcq3DWZ9sAVxrSsmum6Q/b+1W7N5yv30l/CzQAeI8zzdx42cq0VurxCga3U9ewENsioMg3BfC03upLc7N/9ntR3vg7JD35cHabdfoff1xsGbs+JezNp/BLuhroeSHMD7k+akB/mTR6tgwdNM0mLkV1dprcdsSl62paZ6WbSzrfbB2WwgA3GTrh8PD4Zi712pYpdj0do/ZOmXA5KMoFPHnRQjoskPOTQBLhlpfP1Y52zR5/I/WboNgSAg2UqMMioyUiQt4RvHzAqn2cqzgbSwuZknHPfL2a7eApUz9/iRB+jX5E00K5QE2Kw/62jgdeN1V9tdO+CAbnIEdDw84H1eIGwzH7SlA0G/tNhy2217u6QjB44jQlvf+MvfyuP60t+oVnphjQXRWrBq100LDLOtX/9Fi7TawSW+5Kw2YOAWgHABtiq6Kd6BE9bzTAVlGx3OnbaLoZwp4pUMjZWB1hi4Xrt/WWou1vwDhquNVmx1ts+Tbnl1D3ZL2AmVXiElrcOv4EytVKoGOxGFba+hKq3tdsc3asydE/Hs8QgbR2KmFtoxqNHhtIkZ8uVLR/6g8ddIa3Dx11jwBggiAWyl2J52J92zc2mbtL6DDDztgMD01uBCgU5HepDU4PbXU0ALC/UmQRRjf+eX0FfA2a3uusLitJ2uZlno2CSct4G2FzdQ9eJNTbcGY2GtCEDSI4HWc8LS2BZ2Ou66t+ofDXkEwjk4KA6b7nZX/pAW8Lcu6B+PrBtsEAdzsG7mIbVqubU/HXdd2tT/BjzEOE8oNmLxwPvUrBLwVdVMAACTPkL1Ha/Nxhf/GYUPpAaNX7OnUrxDwVoabqfeBOJpjeqe1zVLebVH8aO1wHDbBuKgzwVtC7vQjnbSAi2fe2euCUgDSK2uj12fecm1PldpK0rbu1Dw0+FOnLd0xI65f1MssbLW25wJTGyNr5U7BgB1lftJxcPlMATdgNdpZXSbB9hTwVmt/GLV8lEj2Xle4bxQcuPiaJi3ggg8pSr2kVsnaZXT5pfbLDWi39mehqNn6omSxUE0veDYGgsFeX7I2terG0rMzEXAEeFoA2dQIYaY34uLRnrkBrdb+MI/6c9rMPTPx5zEWcEnUS4lTZezOpG1wxJm6+PWaDEAS9JAb0oC9ni4ZA3Rxn1QPQipD1v4w9sGbMUDtEOUulyALOANZHJlGI8QCdhHXTo96fKGqQumZcNuFF14lrrQVqMpe52WOXCUp7y6SvG/Sz6vcywdvufZnOaQcQjZVSQYtErgfIE9fjnz8PR0A2bfIO640o5i4gB/YgELgFqQXbQuCpu+4ueDh4drvYr+9+MD2RQHFbitEYzHFAUWbkfex69/DIKh8stM2UcDWq+SVbckunEqjw4bbOLsdNtph7QYScigHYCIjy1nYf6fRKmbtMZvRKWMBcBlIARs3migZ2JuD9gP8kwt/4hk/tge89CpNVWSDOVSLy04dhl6wdjMx+OnKgwyFtTzkh7J/xSHk632e57uYrfN8d+y+cQf+yo/5yRyOPZbyfPImSj6wH88D1udmJucOQy9Y+9FL2emeux/yUW6xy/NcsjzP8x0/XT7e5XmKxh9v3P7Nfp5ttR/ctMOEALDhyydu91xSHWOe2M1To3odRqTbmGdlzNwOCLzQKhRAkfFLS34y7aSozP2tP1M1l9+MC1O1/aYv4GwbviycbCBx7BQh1s8N6lXXfoCVG5RDHeyAvzWrDBRLKscSgOVNRZKUTqnKzl0Udb/hlvGeq7yAHRDLF7Wu7LI2zjZCYyivmQMr7tyQeX646uq6R7iJ59KRglXNqYlHUV4Ne+GUudZrGwmkRskAgO1vKmhiRe6LuLWPHDSfkBFyHwJTqP4lXsAbELtGy/RdaxsBYP0XSQZH/U2UMnhmIQB7lXgityPaVB2CiYRdV/82L+BNvDJXpP3aTgIQaRJtOvmYrpKoJCXgCs22qt1xn4l8g8itL/6+6TuZ88cIAIil1oN8zMKHdDrGkzPpx0SY7y9/v34I1UhY1uTOFnaDWxSfnvvDLpH9i9t+5BZAZHcA7B8OVxaSdrPst+VNlJEQGFw6ndaYYkv+aJbwOImGCKG0AJzeAoCQ5pziQAykjJlpXegbwjbvucrUCW7SmcpPLQ4rLxlwgRD7/CDLHfk9Q1CEBTcyzfM8X09oL74L3kQZC7QgrC+06GIjAGMUQh6WLxF3C/cfY5dc0mlTjBJNnAM2KDptJVm36clTwQv4aDBLsF1VyG4rN4ZECQGyl30YDAB2XHDp9gOWHi9ewMdDkuF+a5VX8xOuAWXfnRT7cnyYcDzEvKi5+wQGArTMnjrgeRR4DT4i7B/QdUx3Dco4Fnasn8ySPVt1PWkKeA0+IkQMNE0qbIX5o1CYqOO0LMdZtJmhfL9Fg/9Zr8Fb8mdv2zR1I1M7BvygY0xkIZzbTygltjXv0ODstqu2p54NQzaoHZBKYgbY23Z9zTjnYhpXk/In8Q4B5+1b1X87PAa6WhdVKOEhQA96mt+ikQbiUw7uS3mHgAsv4K2J5UUWYFc0SUAvRVdX1XKJcMiFR8s7bHD6RdBRo3wvbiH6tXMCAKx0CPCmESz1/AQbYIGdFiPqJvcU3pFsxUKlrzuXee6Q1VgX7RP9DII+md0aAkC6WqVzk++3aHC4PxoYG/ga9Gp9ldVHypjwfnMjqyqjf+xfv3hVqX7cDLNR3hIH52tkc7Tvno+LbqaZsDi4W/1jk7+Vqvikfd3T8vY6Q/l+00ZPsGbRmJq9j5ZVXS6Iu1dQ5iK+vd6cIQBw/sM+8qadzHArs8Usw1BPJbF1hfb2XlCb78LLlwuGhGAjNcvinF68a6tebLfC7/Y8wGS1Tp6RAFSbWyBLmfr9SYLUu/RH3leyJudSuP0yKJJXmjdJUSb6rdrNlgiDzpuYM8fXZI6HiK4jhFkKwEJSkehnK0r8zrht5tXIJV7AR0OmrxsAFjad4ywqTfOKEvdquh1ewMeCza5b0FOhsI1YlnUIs9tmfANewEcCRWQvppweJyQ6x+KVnmlPh9fjBXwkZLZ+TDU0UimyEABsJaHV++zt8AI+FgqBPXXkPOVfWi4RRiq8eNDb4G15Sy6KZwAPEv2SzKf5NOE1+MhpTPRzijQUDZm7Nne8Bh85M070ewtewD2zxreN8MwaL+CeWeMF3DNrvIB7Zo0XcM+s8QLumTVewD2zxgu4Z9Z4AffMGi/gnlnjBdwza7yAe2aNF3DPrPkfhIhxN/WqNYoAAAAASUVORK5CYII="
p _ { i j } ^ { t } = \left \{ \begin{array} { l l } { \begin{array} { r l r } & { P _ { i } \frac { e ^ { - \theta C _ { j } ^ { t } } } { \sum _ { k = 1 } ^ { N } e ^ { - \theta C _ { k } ^ { t } } } ~ , ~ } & { ~ \mathrm { i f } ~ ~ i \neq j } \\ & { ( 1 - P _ { i } ) + P _ { i } \frac { e ^ { - \theta C _ { j } ^ { t } } } { \sum _ { k = 1 } ^ { N } e ^ { - \theta C _ { k } ^ { t } } } ~ , ~ } & { ~ \mathrm { i f } ~ ~ i = j } \end{array} } \end{array} \right .
"iVBORw0KGgoAAAANSUhEUgAAACcAAAA2CAAAAABhQt/XAAAAe0lEQVR4nO2VwQrAIAxDm+H//3K9ldmkIPPSgZ5EnkkbUeG2NZ497HLNuCHWYEanLvRw4sscTNjK+oJ/4aSn5YgDTar6pFzmCtfMyeiYQ+UqcnG9Q+YC9uecg1kK+HS+HhLUTPItX5vu96jgKOhz3zWiZv224XD/rV9yEwI9EXRU0+iCAAAAAElFTkSuQmCC"
4
"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"
\eta ( t ) = \int _ { 0 } ^ { t } \int _ { \Omega } \lambda ( s , \omega ) \mathrm { d } \mu _ { \omega } \mathrm { d } s , \quad \left | \tilde { \phi } _ { \Xi } ( t ) \right \rangle = \mathrm { e } ^ { - \eta ( t ) } \left | \phi _ { \Xi } ( t ) \right \rangle ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJ0lEQVR4nLWT23GDMBBFLx43sC0oJWwLcgmkBFwClIBLiEugBVEClIBKkEq4+ZBRFB7xV/TDznJHezg7VMTf5/Lm/fvA9ag5jump9ckNxvpHVIv7xwzw8NSYSDpYngQ09SFnAViSXNAwM3TV8wdihgLAU/oV0t9GdLEICOA//SIrZAi0+MoTWqiFNANZMAyoc21BMvTQUELC5FJS2aBnIUr8WvmoqYNYmlSMmdGsTguTwWDIjI4kgyiLEZ3B/OsGfzOu2OZD6jGJiI8RdwCxaYA8YlK65Hcr/QWgCwPkPFD3JA93n3q9Jn9uH7gCwNxNq5fduQCI90aTlXkfuALovHuZ9fsAyAFtGucgZDttIRcxIdULYO2WE6xlXQEFbdh+RfX//+bbwDe/fKtIVnzr9gAAAABJRU5ErkJggg=="
\lambda ^ { B }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAmElEQVR4nO2SQRHCMBBFXxgM1EKQUCTEQpGwFoIEsFAJtVAkFAmJhFbCct2lU7hwo/+2f9/s/5lJUD7r8GX/r0B/DqeLc9SqtFJ0itZywBw7VdVkPRdxrwLQbnZYqAA36x3tIPVKpHEXfMkhpi4NznKANJO+ywKZvNo7IDKuAfuKhQcAz62SGXLRUVyQBWYBSD4n7L/6R8ALjqXykEI/a0gAAAAASUVORK5CYII="
\varepsilon
"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"
1 . 1 \times 1 0 ^ { - 5 } ~ \tilde { \epsilon } _ { \mathrm { ~ l ~ i ~ g ~ h ~ t ~ n ~ i ~ n ~ g ~ } } \lambda ^ { - 5 / 2 } ~ \alpha ^ { 7 } ~ \beta ^ { 3 / 2 } \gamma ^ { - 4 }
"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"
\tilde { h } = m ( R e { \tilde { R } } ^ { - 1 } ) / P ^ { 3 } .
"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"
S = k \cdot \log W
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAVklEQVR4nGP8z4AfMBGQH1VANQUsKDxGM4Z35ktQVfxHBtv+/4++hSLyH9UKT4aTDKoMeEz4/98MzQA0Exi2q6IbgGaC2Yn/eE24rWqObgDjaJIbOgoAMcxkSEy50fIAAAAASUVORK5CYII="
_ 7
"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"
\begin{array} { r l } { R _ { x x } ( \tau ) } & { { } = \int _ { - \infin } ^ { \infin } x ( t ) x ( t + \tau ) ~ \mathrm { ~ d ~ } t , } \\ { R _ { x y } ( \tau ) } & { { } = \int _ { - \infin } ^ { \infin } x ( t ) y ( t + \tau ) ~ \mathrm { ~ d ~ } t . } \end{array}
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"
E _ { k } = E _ { \mathrm { D C } } \pm \sqrt { ( \Delta / 2 ) ^ { 2 } + ( \hbar \mathbf { k } v _ { \mathrm { D } } ) ^ { 2 } } .
"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"
u _ { t } ( \boldsymbol { x } , t ; \boldsymbol { \xi } ) + \mathcal { A } ( u ( \boldsymbol { x } , t ; \boldsymbol { \xi } ) ) = \mathcal { S } ( \boldsymbol { x } , t ; \boldsymbol { \xi } ) , \quad \mathcal { B } ( u ; \boldsymbol { \xi } ) = 0 , \quad t \in [ 0 , T ] , \quad \boldsymbol { x } \in \Omega , \quad \boldsymbol { \xi } \in \mathcal { P } ,
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V \rarr \infin
"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"
A ^ { \star }
"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"
R ( \omega ) = \left | A _ { 0 } + \sum _ { j = 1 } ^ { n } A _ { j } e ^ { i \phi _ { j } } \frac { \gamma _ { j } } { \omega - \omega _ { 0 _ { j } } + i \gamma _ { j } } \right | ^ { 2 }
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c _ { 1 }
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"
F e + 2 H C l = F e C l _ { 2 } + H _ { 2 } \uparrow
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAn0lEQVR4nO2SwQ2DMBAEB7fg9GBqMKnB9AA1hNTgItJD6AGlhdADUMPmgU0kHsknjzy4x2k1u7rTSVeIz2W++Efgl4GyB9px76wYNHgvyWtXGRvGehlhAaCdc9uw4VHFK30FQDjP1PYEvLG8xPNyT4NdiKvKGDkpNmFKq71NKmOGRpJ1yQ9xcJMkbdj0DujselrtuupWzsCGi+Mn/ybwAge1gTJuelTDAAAAAElFTkSuQmCC"
N \times N
"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"
K _ { 1 / 4 } = 0 . 0 6 5
"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"
2 2 + 5 = B D ^ { 2 }
"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"
Q _ { 2 } / Q _ { 4 }
"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"
\begin{array} { r l } { \zeta ^ { ( 2 ) } ( \mathbf { x } , t ) = ~ } & { \mathcal { R } \left [ \frac { 1 } { 1 6 \pi ^ { 2 } } \iint \hat { \zeta } ^ { ( 2 ) } ( \mathbf { k } _ { 1 } , \mathbf { k } _ { 2 } ; \mathbf { x } , t ) \mathrm { d } \mathbf { k } _ { 1 } \mathrm { d } \mathbf { k } _ { 2 } \right ] ~ \mathrm { w i t h } ~ } \\ { \hat { \zeta } ^ { ( 2 ) } = ~ } & { \hat { \zeta } _ { + } ^ { ( 2 ) } ( \mathbf { k } _ { 1 } , \mathbf { k } _ { 2 } ) \mathrm { e } ^ { \mathrm { i } ( \psi _ { 1 } + \psi _ { 2 } ) } + \hat { \zeta } _ { - } ^ { ( 2 ) } ( \mathbf { k } _ { 1 } , \mathbf { k } _ { 2 } ) \mathrm { e } ^ { \mathrm { i } ( \psi _ { 1 } - \psi _ { 2 } ) } , } \end{array}
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\rho ~ c _ { p } ~ u _ { j } ~ \partial _ { j } T - \partial _ { j } ( \kappa ~ \partial _ { j } T ) - s _ { q } = 0 ,
"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"
\mathrm { ~ H ~ O ~ M ~ } _ { p } ^ { m , 0 }
"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"
\Pi _ { s c } ( x ) = - ( \Lambda _ { s c } ) ^ { 2 } D ^ { \prime } ( M _ { N } , x ) - \frac { 1 } { 6 4 ~ \pi ^ { 4 } } ~ \int _ { s _ { 0 } } ^ { \infin } ~ d s ~ s ^ { 2 } ~ D ^ { \prime } ( \sqrt { s } , x ) ,
"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"
\frac { \Lambda _ { m a x } } { m } = \int _ { g } ^ { \infin } \frac { d x } { \beta ( x ) }
"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"
U ( r _ { i j } ) = A e ^ { \frac { \sigma - r _ { i j } } { \rho } } - \frac { C } { r _ { i j } ^ { 6 } } + \frac { D } { r _ { i j } ^ { 8 } } + \frac { k q _ { i } q _ { j } } { r _ { i j } }
"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"
\sigma _ { \Theta } = 1 0
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7 6
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"
r _ { \mathrm { I } } \equiv \frac { \sum _ { ( \tilde { x } , \tilde { y } ) \notin \mathrm { R O I } } ~ [ \Xi _ { 2 } ( \tilde { x } , \tilde { y } ) - \Xi _ { 1 } ( \tilde { x } , \tilde { y } ) ] } { \sum _ { ( \tilde { x } , \tilde { y } ) \notin \mathrm { R O I } } ~ [ \Xi _ { 3 } ( \tilde { x } , \tilde { y } ) - \Xi _ { 1 } ( \tilde { x } , \tilde { y } ) ] } = \frac { I _ { 2 } } { I _ { 3 } } ~ ,
"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"
3 ^ { \circ }
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAAC00lEQVR4nO1X7ZXbIBAc37sGSAmkBFICLgGXgEuQS9CVIJUgl4BKkEqQShAlTH4IZH3bzt0lee9u/ggvsDss7IAPxP+Nl39N4B6+Cb4XX4zg8XDDB7l8fWq0P8HrdLvfqHfSWeLwlMxcRIKTth/OYgfPZVAaQLafRGUdz51BKwAvP4nKOmIGL4nYGlL70NAAUNcZAMCftS2HMSrMHllwfuAs+GsLZfZGxDN4rt0Ww3PYU18BaI9FXwgnFO1PDdRCwtddP3liqX85vUtOIL8I40sUe7XFAKs63kenq75RiI5NQVJkJE3onloSuedKKzqkJGnFTuiBIE3yIL+KJGUY3aCZjRlZZLbjK3OUYWHSPkDQNWIWqnIN3XRtSmitNMkKoaMQc48jS6K2A3euqxC2I1s4mRPsLLTEJIWVVFqm0cUcSdzURC+6bpZhGbeld3HFFlUGVs45Vzls73FPUJmONONYlSjITmJ9FnUybyy7SMKF7w3BwkYwUdQAoN1gXeIVAHJfALBv14tELYX3DXJrAGHqvTIEgDLZs+igUMWgEIOKlhrqDa5vQ2MUe4JXACgNALQQTuKHE8iBawEA/t7dWmM+YmoJBOuok6hjb62hcO0l8Kowjj0FGQtYpySrIA2iINmJ4s4Wp4symFjE9hbLhjS9tFXoq71ak6UXANB5C3/2tl8YAMC8tWhPfktpVUhNO9x75cIC+Liho4Ahg7UvgQzHK3x+tDYmdYTokCSZQMJ0JGnT3k+nAZVuKm3UEjFUREyNGNVItq3UmUhJdhbAMCPGnjiMi4tyosb1lGwL6GLzkxVBWpb4Eu42bxI7OpzryOT3zk0w1+BmhYvbu8JWMIkdHc4IOh2/BSuzdxHIu9l5YMhq7Clm78EynGql8sNZuI0SASCKfCEIU/ij2vlzsIJy9aH53JN/jHqzxHu0rdp8Yj6BPyf4l/DF/hd/Ar4Jvhe/AZ9hHeHWL+tAAAAAAElFTkSuQmCC"
\partial _ { T } g ^ { - 2 } ( T , \overline { T } ) = i \Theta _ { T } ~ ,
"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"
r = \sqrt { ( x - u _ { 0 } t - x _ { 0 } ) ^ { 2 } + ( y - u _ { 0 } t - y _ { 0 } ) ^ { 2 } }
"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"
c _ { \mathrm { D } } - c _ { \mathrm { N L } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABE0lEQVR4nM2TwXGDMBREH5k0oBZoQS5BlOAWlBKgBKcEuQS5BFwClAAlyCVsDlhGGI9zySF7YqSdv2//iEq818cv939uuDZdUx1umzMVigQla6byrDQks7EvKiMuN/eeYcTuDdVjUR2X2dnaPxk+H1+Ob5w1uxErzsQLxhJypN4jsDG8YCwYmJcJHUDt5zPAqYytiZI0WExMUgQXN5uEZcctrSQFEyRpjbhyhxxxcPtiMtuaAZcnJfX2tKs530uM1KZrbLurOT4SzAFzvu42uTLaQYE6Pb2HmBEcvSS3VJGQWhclefo8SZIGGLLhiOkVCMv9gM1J2ZBah/P5Ibb3qAR+w7Bo8oCfpP4I2Emq/t2v90I/xONQcT3r0rIAAAAASUVORK5CYII="
f _ { K }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwklEQVR4nN2TXRHDIBCEN50awAIWzsJZSCUQCUFCLQQJqYRGQmIhEkDC9aElP8DQ106/pxtuYW9haAR1Ll/6PyG4xsIuQMsamFxQbHaFRAjmXTB52dlOgIICALh1ViWLyGKfx342ZOjuVE1hyZwXEgu3PFETpAOkFuE2EGqCrm3T/uGiGIok53TCmO8/WYy6IDik6DlWbtLTnM0w7748SB9rSAGjva8KPLHUBF68GosxP1goWgspIuGhddjetPmLn/UCzjzRmwIbCmkAAAAASUVORK5CYII="
V _ { s }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcUlEQVR4nGP8z4AfMBGQH1WATcHZinuYKv4jgZlYxFiQFd8rZ2BgYDhrjNOEtP////+/m4Ys9B9Fwf////+/S3uHX0H5mf94Fdx1QRNAD4dOYzQBdBMEd+M3Yc97vCHJwHAWIyAx4kIQjc84mqqppAAAi+G8+G7fHlcAAAAASUVORK5CYII="
_ 7
"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"
\bigl \{ \zeta ^ { 1 } , \zeta ^ { 2 } \bigr \} \in \Omega
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAOElEQVR4nGP8z4AfMBGQH1UweBUw9lkWoan4jwIK//+XQRVBM2E1w2oZvCaskkEz4D/jaIoaRgoAc1JBGcy36DgAAAAASUVORK5CYII="
^ \circ
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"
\langle \Gamma ( t _ { * * } ^ { 1 } ( \lambda ) , \lambda ) \Phi _ { 0 } , \Pi _ { \mathfrak { V } ^ { \angle } \rangle ( e ^ { T _ { * * } ^ { 0 } + \lambda T _ { * * } ^ { \angle } } ) ^ { \dag } C ^ { \angle } \Phi _ { 0 } } = \mathcal { O } \left ( \frac { 1 } { 1 - \lambda } \right ) \quad ( \lambda \rarr \lambda _ { 0 } ) ,