image unknown | text string |
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"iVBORw0KGgoAAAANSUhEUgAAAiAAAABgCAAAAAABJZaFAAAOm0lEQVR4nO1d7ZmyPBM9+15vA7lLyJaQLQFLYEvAEmIJWAKUACVACaQEUgIpYZ4fBAgfKioiup4/ohIYwslkMklmvggffHAa/3u2ACvAxL/PFuF18fUHNMg+xh94ygfhDxAk3+FDkJvxBwjyDf0hyM14fxvkwP1ni/DKeHuC6DgEvGdL8bp4e4IcArH8Rc1x+Wtevo3J89ycL6Ev/H8D6L2R8IokvEWvWQRsjWob3Cap1SCPThaoIgGvOvVv1r5y2fxkv5+tnTcnSMU... | E _ { n } = - { \frac { m _ { e } e ^ { 4 } } { 2 ( 4 \pi \varepsilon _ { 0 } \hbar ) ^ { 2 } } } ~ { \frac { 1 } { n ^ { 2 } } } = - { \frac { 1 3 . 6 ~ { \mathrm { e V } } } { n ^ { 2 } } } . |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcElEQVR4nGP8z4AfMBGQHyYKWBgYGBgYZq3GlAlNQ1Jwbw+mAmMIxfifgYGB4d49TAVKSkgKKHEkkb7A4waG//////9fjkVr+f///////0/QCjr4gkhv7sESFy4uEJqQNyEmKLlgKoCG02Dw5mBQAADDTSdYv3T19QAAAABJRU5ErkJggg==" | \equiv |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABgCAAAAACvJf31AAALDklEQVR4nO1d752roBI99/1eA7wSuCVwS8ASTAlaAilBS9AStAQtQUrQEqQE3gc18Q8oJtld3eR82iSo4xyYGYaB/aNxAkgFbvv05vhzAgLzawMgEBQAcM1B0fjRz8p0GJyAwGsqOGTckCgAlIeIAypWyU/LdRDoo6NgrdZatz6Q6JYF/dci+0GZDoTjj8DQ7x1emCLK2TDw1KX4MZGOhOMT+K+6/SVBKzJ88j4EAsB/flqATdwYQ8Ggmtsn1phavx2OT+AdBFChGj5... | C _ { a } ( t ) = \sum _ { k } ^ { \infin } c _ { a k } \exp ( - \nu _ { a k } t ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnUlEQVR4nO2SQRHDIBBFfzo1gIVaoBLWQixgobWAhCCBSggSqgEJWQm/h2QawpD2kmPeZRn2zbD82Y74zeVP/xQWrsU5vxSAyNbgl+EWSfZvbliFiEiSD+4JRkiSUyWsQ+r8ttn/hV2qT74t5LkEFYSWIEEBeE0Cm1o5xOe9B5xRANoSzIBUZVTNAAgASIba4pI1kxtdEUZ3bvVBwgdAvJCzwwQ7ygAAAABJRU5ErkJggg==" | C _ { 0 } |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAFWUlEQVR4nOVa7ZGkIBB9e3UJdApsCGwIbAhcCEwIbAhuCE4IYwgagoagIWgI3A9RUMFhb2fZqr3+MWUpw+tnN/0BPhmkylQNHWOShZ8OzTBMjLj07jXeNfFkoHRpvmbaVXJQNqmiaf6DHgMPb6sSpN1dH0ckA6VLCSCkzaMkB+VkAyhAj2YsAH5URwPQvTGmJED9uzYfFAmg/IJ5rWSh/JQYgt7eoQsAuF6gysDTUgEApufJDgTwxNzqZCoN6AMyPAPg7cPntZKJcpo... | - 0 . 2 5 \gamma \le \Delta \omega \le 0 . 2 5 \gamma |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABaklEQVR4nO1WwXGDMBBcMmlALagFtYBLkEvAJeAScAlQApQglYBKiEqwSlAeMuNwp4SIDB9P9oPmxOzqdHsHVcSxeDuY/wUE3mnATwGu0ccJWBsc2nKiwQYolTlYZDC54AZm1Yyml5Az3clwdahL+T/EGGOMUUNQhYyARlsqoLv0vAtIspVxkUVdeP9+Ch4AIDT8sN7jAi6UC+B2SisF+C2B8gSSBgBAAm5LwEGVsqt6MbYH5HqP9cGeDIRZVh7seNQQ844ueEJA3Dd... | l = 2 |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAACgCAAAAABvKucxAAAQzklEQVR4nO1dzbGrPLZdt+sloOoEunRHPfxKNwQ5BBwCDgGHgDsDCAFCQCFY1Qm06QReocELYL8BPwYbjMDAET5nTc6xzZ+0kPbWlpb2L8I3hlIAACmhUwAA94E8rr5zAn/76gf4UnCZXy6QHGDSXC5GSgBMqIsW/KufrcKvb9WC8rzzUTDEJ1Q1oA71f0hVtO1zvcD/fPUD9CGVbJ0Lx5fOx0yi01BMddt0TX4Un9Q4Hezi4t/HeKVLh9RBx8xoQFcPsNb7AQA4/j7... | \hat { G } _ { e } = J ^ { - 1 } \left \{ \begin{array} { c } { \overline { \rho } W } \\ { \overline { \rho } \tilde { u } W + \overline { p } \zeta _ { x } } \\ { \overline { \rho } \tilde { v } W + \overline { p } \zeta _ { y } } \\ { \overline { \rho } \tilde { w } W + \overline { p } \zeta _ { z } } \\ { \left ( \... |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAADgCAAAAABgcu1dAAANZklEQVR4nO2dP3LruhXGv5tJmcwbTrqUdHbAN2nTUEUWIDfpqR1caglSdkBWqaUF3EJcgriDJy7BnDdJzxSSbYogDv6L0PX5VbQp8dD8DBDAAT58G8DEzB+WvgGGhgWKHBYocligyGGBIocFihwWKHJYoMhhgSKHBTLl2Hq60FbrUyyQIdt96ulKya+9xqdYIDM2zSnxdKkyf9EojN94sNSETXP2pQ+A1+aivBoLZMJ2f8qlJ+u2Q5IXBpfrX9Kz8kMDo80Ja+m5Q1q... | \left ( \begin{array} { l l l } { \rho _ { 1 1 } } & { \cdots } & { \rho _ { 1 d } } \\ { \vdots } & { \ddots } & { \vdots } \\ { \rho _ { d 1 } } & { \cdots } & { \rho _ { d d } } \end{array} \right ) \Longrightarrow \left ( \begin{array} { l } { \rho _ { 1 1 } } \\ { \rho _ { 1 2 } } \\ { \vdots } \\ { \rho _ { 1 d }... |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABgCAAAAAC/TCZFAAAD20lEQVR4nO2a0XWjOhCGf99zG9CWoC1BKUEugS2BlAAlmBKgBLsEKMGUgEpAJcw+ICEJHNtZORYP/C8QMYd8Gc2MR54cCNvWf6kBHmkHjNUOGKsdMFY7YKx2wFjtgLHaAZ9W86fsAX1cLB+20g+WFdOQQrF68YA2Ij5SLYFsXKynAhxyAWTtY8NkW/xbcN43dQ4A6KY1CQC9BgAINq39/360SVcGgH9KDkB1ugGTfAJUjYaQ3AAmjkFWmBvgNC8W4M4icZkRvbv1l91... | \begin{array} { r l } { 0 } & { { } = \frac { \partial \tilde { H } } { \partial \kappa } } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeElEQVR4nGP8z4AfMBGQH1VArAIWFF4eAwPDbdVJuBV4MjAwMKigCDFiRNZbYfxuuI0qj2YFQ57QSVQnoJmQJ9Sg+g7NyP9I4BbD/3qzN/9RAIqCeqGJt/6jARQrhBiiVW+/xWPFGxUhj8VoJmCGAxoYDNE9PBQAAEh3ZjUlPa3DAAAAAElFTkSuQmCC" | \vec { e } |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAGp0lEQVR4nO1a65GjvBI9e2sT0IagDUETghwCEwIOQYSAQ4AQIAQIAYVghQAhnO8H2OZlS/ixd1zlU1PjGdz0Ea3uVkvNL+KDW/jf/3sAPx0fA3nwMZAHHwN58DGQBx8DeTAykAsQr7tXDGLJHDKWC+w28U0sZwOVu71XuN7v7Ph/a69Jhn1/jTlkLBd03+Vujy5JvvMNd4WyDAY6fHlmwVoAOptcc3t5W7lM/BZaMnvHMtdQpI3d52laBM3HRpbf/YeKxW3tTiyvfWc... | { \frac { 1 } { 2 } } { \frac { \coth ( \pi w ) } { \pi w } } - { \frac { 1 } { 2 } } { \frac { 1 } { z ^ { 2 } } } = \sum _ { n = 1 } ^ { \infin } { \frac { 1 } { n ^ { 2 } + w ^ { 2 } } } |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAAAgCAAAAACQx5tJAAAHAUlEQVR4nO1c25WjOhCsnbMJaEPQhKAJ4H7gEJgQ5BBwCDgEHIIdAoSAQkAhoBD6foBAmIeEwdzHmfpiQKquhpbUenh+EX7wg/fh945cShsu2I6EHtw0eMShII6zuR5Kq4eebMb/Df0hWPKEWlQZbcOdAwBkHVJ4szWisnGGRbjvSfuMrZQZAIiJBwfpP4B70ZOPLgjVtiA+f+ukojK+fYUQbbUGmG8la7pLo7J4R9oRtlJKkgAf3z9K//u5PZ7YkBPJpihOgCZmY/C... | t _ { 0 } = 0 , ~ t _ { 1 } = \delta t , ~ \cdots , t _ { k } = k \delta t , ~ \cdots , ~ t _ { n } = n \delta t |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAKbklEQVR4nO1d4ZmroBI9+77XALcEtgRuCW4J3hLcEkgJpgRTgilBS9AStAQtYd4PxKAioslulrw9v/JFlJk5MAMD4hvhF8/Ef54twP87/vtsAXagLD0L8uRL5Xgo3gJyQf3f1q9gVHytII9ESC6I5c+W4AsQEgEQ8tkSPB4hxQAgrXUYiBduvq/RX/tvFuh+hBQDAPTv2sSVsF0+n4HfGPCFYJn+9c/W2FmaWf790QiMAMQ6DLSf1utJ+n2yPAShEYBUu57r2XpdRt8... | G ( s , t ) = \sum _ { x = 0 } s ^ { x } p ( x , t ) , |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAIbElEQVR4nO1b25XjqhLdvusmwAmBEwIOAYeAQ5BDQCHIIVghSCFACCYEE4IJoe6HHkYS0rjbY1vrLu2P7hlRVSAVj01V9Y6wYc34z7cHsGEZm4NWjs1BK8fmoJVjc9DKsTlo5dgctHJsDlo5NgetHJuDVo7/fnsA60btWMa+amZbQUuorcLhu2Y2By3BFUIz91Uzuy2a/QfsDXM5AAiuXtjtfmvmUyvo9KF+fomTBVxejh8BsIJBGMCYgu3jVTASH6jFbY2dWTNzdjp... | \begin{array} { r } { K \equiv \frac { 1 } { | \hat { e } _ { \perp } { \cdot } \partial _ { \Delta \lambda } \Delta \hat { e } ( 0 ) | ^ { 2 } } \operatorname* { l i m } _ { \mathrm { R e } ( \Delta \lambda ) \rarr 0 } \frac { | \lambda _ { 0 } | ^ { 2 } \mathrm { R e } \lambda _ { 1 } + | \lambda _ { 1 } | ^ { 2 } \m... |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAACACAAAAABfZO92AAAHtUlEQVR4nO2c25mjOBCFz+y3CWhDYEKgQ8Ah0CHgEHAIEIIJwYSAQkAhoBCsELQPgNtgbBAlbjP6X8bNGFkcSlUq3X5pOCj8s3UFjo4TkIgTkIgTkIgTkIgTkIgTkIgTkIgTkIgTkIgTkIgTkIgTkIgTkMgWAvLLBj+6FOsLyE8nYXyT5BkAecns1cNWkXpdigBAYHiLDyDWOgZwtVQLa0X+S9TfDJEyn5veFATqPyDAOQMgrdTDYpHrCsiuDDI3vk0BLMgyAPAs1cR... | T = \frac { 1 } { 4 \pi } ~ \frac { r _ { + } - r _ { - } } { r _ { + } ^ { 2 } - \S ^ { 2 } } ~ . |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApklEQVR4nO2SQRHCMBBFf3AQJBQJrYRYSK0EC0gACWChEloJRUIi4XFIpkAnUy7c4B0ymd03fzczMWib3Yf+bwmpN8dSuJ1qQueXwmBXEQBEbCDTzOUyRgByglUq/qRGOh3Mpev31SUHLyl4pXG2VWFq8xmkWE9wknR3q1c8+42VlDYElzdtt4WcUwAgOGvdGaIFwDsWxCtXz5r3EVOrNeb/q78kPAAlNnGAJsA4kwAAAABJRU5ErkJggg==" | 1 / r |
"iVBORw0KGgoAAAANSUhEUgAAAUsAAABoCAIAAAD3mkXlAABwqElEQVR4nM29x5IkObIgqKqAmTkLD5K8q8mszLw9zGX+fj9gT/sJc3jvTVcXzQweTs0MUN2DAjAYcY/I6h6RgZRkeRiBgShnwP/v//1/AIABAUDYAAAgA4CIR0TIGgmICBEBgIiIiF4XYABARBHRfsZNEAAAwUze5fASd09qE/0Q6hfzkaQWBokMABhHpA+nVyh7cjCpwZM8GnPeEKkbc3adugd672A+Tsnf6D4NHhCRiCQ1DNOHbmW653XuejesDPU/ihhWUgQALJK... | \frac { 2 } { \sin A } = \frac { 1 } { \sin C } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA70lEQVR4nO2TQXXEIABEf/rWABawEAtYiIVUApGQlZCVECQkEoiEIoFImB4g26Tta+99nQsHhs8wQCN+1ssv83/EcCvDFlJoHRDcaK4OVXlmScrWZp31NDhyNY4XwzPD2hZ0Yv92iwUvScqGtwvhdgBoAbjvkwVYgzG2OxFKhNi5KEm567LUXwj2DmuaHQCvWzRgThlqhNFESZqYJM3+RKgR3PCYgJU0gB1PhNrCgpMkY7/0UFuooN1+vqyVEm4rVZUTl8YOQ/ux5kG... | R e |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAALVElEQVR4nO1d7ZmzoBI9e5/bAG8JbglsCViCKcGUoCVoCVqCliAlhBJiCaEE7o98CAoRkqib3D0/dpOYwHAYh2EY8EvhD394HP/ZWoBXoRbn/3y/rRwfhwuxLl4/RIHaeC8vr8i2knwYbsS6eP3visIsiAT88qrtNhXk03Aj1sXrh1ggXO+PltBN5XgZZB7HYmshcCPWyeunKNAVPAF4znn+G8h/AuKbJDzfWooBPIGd2A8Zwm5oO4DGPRX1aWtRnoGMkyxGurUYA9o... | \left \| x \right \| _ { p } = { \bigg ( } \sum _ { i \in \mathbb { N } } \left | x _ { i } \right | ^ { p } { \bigg ) } ^ { 1 / p } { \mathrm { ~ a n d } } ~ \left \| f \right \| _ { p , X } = { \bigg ( } \int _ { X } \left | f ( x ) \right | ^ { p } ~ \mathrm { d } x { \bigg ) } ^ { 1 / p } |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAJq0lEQVR4nO2d7ZWzKheG73nX2wAtMCU4JZASnBJMCViClqAlxBK0hFBCKEFKyPnhF/iJUZx1zuL6lTHRzcfNhg3b5/l6w+Nxx//+ugCe/zZeYB6neIF5nOIF5nGKF5jHKV5gHqd4gXmc4gXmcYoXmMcpXmAep3iBeZziBeZxyv//0rhQANgHN1ZV9yk5rzQdgtDxJTm54hIlAATkSpMfMmmXuPvAum79MrIp0gpTwujkYjXkVdE+n0VVmgQWdxQ0az7FaXdNL74SlVR... | E _ { \pm } \approx S _ { \pm } / [ 1 - i ( Y _ { \pm } + 2 Y _ { \mp } - \Delta _ { \pm } ) ] |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAAC80lEQVR4nM2Y25mbMBBGz+ZLA0oJ2hKUEmiBFtSCUgIugS0Bl6AtQS4BlyBKmDwYhMTFty/rzf+EJQFHM6OZwW/CUqfjeeBTa4yp1Gr25ZJSvdP5rPXyzXorLDgcDgDGKBhOJwDbfLMVc9pgAGw//uwtgA7fYLdZOWBQS56gAPWthBlg1ICOxXRQgHkxU6EM0AIsrdUBuJcilZoBPYBdLagA9UqihX6k03IEcKtDVAPD8esO6S2VgEavFtQAny/jWenndPE5ANV6gVI... | \Omega \rarr \infin |
"iVBORw0KGgoAAAANSUhEUgAAAK0AAABCCAAAAAAA1gnIAAABuElEQVR4nO2Z0ZLDIAhFodP//2X2IZNWERXIEm2G89CkU4g3CMQaJPghXqsFmEi1caTaOFJtHKk2jlQbx7v3AwLAdmuIjlq8V4UWOROwOgSCaBpDVHtbZNE4mKT25jQwDCeoRfE0AvPld+hgetGt2rN1UXD/OgrMNsiwJxjnCo0VDgBGuU2/RQAg66CO/D5cjPPH1ZbjEgLg8Hr+Kqw8x4MUMLUIcOWBq/ZU3CYKlxOevF+beXAFJw18BjsWzdjvxoZbjOQ6Z+GYwbK... | p = p _ { e } |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAADqUlEQVR4nMVZ3ZmjIBQ92W8bcEqgBbYELcEpAUtwSjAlmBK0BClBSpASpIS7D0LUKOhMmOQ8KQPO4XJ/ziUXwnvx583///0E/kb/opbgfD3CAtNjW8AULWO3TzOPqH8yawMrKC5ET0RU8nmEVw2Ef0FkAj1yIqIRtRvp0DVp718R3Qc4ACSpFPZdIkUemB+ZAHdpRboRxT1Tf4cAYFrNBMzdC/UBgdhOWKY9DYKQEBHRkHOwNOCCsZ1w5IKIaCiR2pEOXXhJ3CModAc... | F _ { i j } = { \frac { \partial f _ { i } } { \partial v _ { j } } } . |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABhklEQVR4nO2V23GDMBBFL5k0IJegFpQS5BLkEnAJogSlBFEClCBKMCWgEqCEmw+eYWJPYPBHJr4/Qqx2j7SrR0I8V29Pjv8CvAAH6P2YMHXeReElAOAMADDpkYB4CRLn2APqAsCnGG08QqlddCzJRo69pL8qLl1Xayi3cwUnLzuhFj8yYYevAZC56tJuCZkNrdYAkCit8y4siM2YoqEGDtVyApslHfQpT8dubqYSTEWO2wCrZEoAqpoA5WyeALXp2VGXnY2lcAKoKsA... | \tau _ { m a x _ { 1 } } = 6 . 7 |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAADgCAAAAABnKoz8AAAgz0lEQVR4nO2dP5KrsJbGv56afEp3CfQGpko3eNlL5CXQNSuAJcASzBJgCWYJKJ/EqpoNWPFEVr1wIibgnyTABhvbalu/5Pq6bVlIH4cj6ejoq4bH877826sr4PE8Ei9wz1vjBe55a7zAPW+NF7jnrfEC97w1XuCet8YL3PPWeIF73hovcM9b4wXueWu8wD1vzb+/ugIPRpVCBjQka79XFtUjquN5Nl/vHU3IfxQAkIqu/OKOv3fDfAzv7aKIH+zr+pSonVj3xYw/pkK... | \left \{ \begin{array} { r c l } { \tilde { m } _ { n } ^ { \pm } } & { = } & { \frac { 2 n - 1 } { R } \pm m _ { q } ( \phi _ { H } ) } \\ { m _ { n } ^ { \pm } } & { = } & { m _ { q } ( \phi _ { H } ) \pm \frac { 2 n } { R } } \\ { m _ { 0 } } & { = } & { m _ { q } ( \phi _ { H } ) = \frac { 2 } { \pi R } \mathrm { a... |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAG1UlEQVR4nO1a733jKBB9e79rgCuBK4ErgS1BLZAS5kpgSyAlyCXgEnAJcgm4hLkP+gdIyI6SjTa3fl/iSELMPGaGB+gb4/fGH0cbcDSeBBxtwNF4EnC0AUfjScDRBhyNJwFHG3A0fnsC/jym2+vlcrsCgBSNeqjFq3lvn7dzs3L1W7EWOE+/hAKA22X8X7/XgAmX00kqKaUEzjifr4YEbqez3nDx9nKK4p3d/vvDrfXAOeYbmpmZfe3B3XBKu5he6IywJEy30SYquH2... | X \sim { \mathcal { B } } e ( \alpha , \beta ) |
"iVBORw0KGgoAAAANSUhEUgAABAAAAACACAAAAACwiUSUAAAjLklEQVR4nO19vZHrvpPtuVubANZYcw1c/zn8hYAJgVP1t7eKYz8LCoEKgYrgFRUCFAIVAlW13lpkCP0MfgEgQIIUeUe6w+OMpCEaDRygiY9G4xfhwIEDPxX/9t0KHDhw4PtwGIADB34wDgNw4MAPxmEADhz4wTgMwIEDPxiHAThw4AfjMAAHDvxgHAbgwIEfjH//bgXGOEVx++l+ilIA9ZeMvlOhF8L//d//Xp6IHbX3R3D6nxXkQGyuxyL8ejVPwPojSdqPj39qlBx... | \begin{array} { r l } { \mathbb { P } ( \mathcal { L } _ { < } ( \Pi _ { x , t } ^ { ( \lambda ) } ) } & { > ( 1 + \varepsilon ) ( 2 \sqrt { x t \lambda } - x \lambda ) ) \le \exp ( - g ( \varepsilon ) ( \sqrt { x t \lambda } - x \lambda ) ) , } \\ { \mathbb { P } ( \mathcal { L } _ { < } ( \Pi _ { x , t } ^ { ( \lambd... |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAJvklEQVR4nO2c65mzOBKFz+yzCZCCOgRNCDgEOgQcgggBhwAhQAgQAoQAIUAINT90Qdji2sbz9a7eH/gG6FAcSiVB918Ej+c6/vNvC/D8b+MN5rkUbzDPpXiDeS7FG8xzKd5gnkvxBvNcijeY51K8wTyX4g3muRRvMM+leIN5LsUbzHMpHzdYP70dx083/uv5fdH7tMH6dnof1L8jRn8OvzB6nzZYHgHo8y8AQJR/uPXfTh4BSJLk3uK3RO+/n21O+qvUqZ7V4Wfb/91... | \begin{array} { r l } { \sum _ { i \in V } D _ { i i } ~ x _ { i } ^ { ( 1 ) } } & { { } = \sum _ { i \in V } D _ { i i } \cdot \frac { 1 } { D _ { i i } } \sum _ { j \in V } W _ { i j } ~ x _ { j } ^ { ( 0 ) } \cdot \left ( 1 + \sigma _ { \lambda ; i } ( \mathbf { x } ^ { ( 0 ) } ) \right ) } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAADACAAAAABghonKAAAdL0lEQVR4nO2d7ZmzrvP2z9993A3wLYEtgasEUoJbAimBlGBK0BK0BCxBStAStAT+L3yIj0RNTEyWz5vNxqiMjuMwDMP/DByO7+X/vbsBDseeOAV3fDVOwR1fjVNwx1fjFNzx1TgF/xqup/9Ol/Jvnn2e/7kw4ZfwT3NdginyB89uwVnwL+HCClUooq/2n5WX0yUHyt+3nP0NOAt+SMqrZoKiPEdL9/iXAkB4ppn1uCcNQPCYBA+2cMvZ34FT8COyXg+1FgCQ/8B6Q69... | \begin{array} { r l } { G _ { n _ { \| } n _ { \| } } ^ { R } } & { = \frac { \chi \Gamma ( i \omega - \tilde { D } _ { \psi } k ^ { 2 } - \tilde { \Omega } ) - \chi \omega _ { 0 } ^ { 2 } } { \big ( i \omega - D _ { \ell } k ^ { 2 } - \Gamma \big ) \big ( i \omega - \tilde { D } _ { \psi } k ^ { 2 } - \tilde { \Omega ... |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAAC5klEQVR4nO2Y25WbMBCGP+ekAW0JakEpQS6BLQGXwJaAS8AleEuAEqwSTAmoBOWBm5AA4yTO5pwwT9aFfz4No5HwwfG19u2L/e8AO8AOsAPsADvAPw5gKvvHHUaabtkaQbky/EsWaR6mF5LjBNYyd12pqtoaKZTUMhipq8oiZTLtf6A5BQydRSsoUzGOps1kcWnfr2/bNZ8DuEsAmZdloQGUR3AToIrbPQNE8SKAEiBvf+cA6bh+AclAIrwYPAvgVqwEsr6hAe59KwX... | 5 { ~ } 2 0 5 |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAHiElEQVR4nO2d0ZmrKhSFl/e7DTAlOCU4JWAJSQlagpYQS9ASYglSQighlBBK8D4YFaMYUbzOyeF/OTkRt4QFe8MWHa+G40j+OboCfztOgINxAhyME+BgnAAH4wQ4GCfAwewggIi/PO87s2/4I/GsL8TYWQIArWwb/kysjwAeytM1J7bNfiz/2jZ4RpQDrAxsG/5QbLugNCN3Agjh+3YNfyq2BfiSUW7X4odjOQYUEtSuxU/HsgAMTgAzLLsgD8HNqsGPx+4IYICb/Zh... | m ^ { 4 } \int D [ C ] ~ | \Psi [ C ] | ^ { 2 } = 1 . |
"iVBORw0KGgoAAAANSUhEUgAAA6AAAABgCAAAAAAmrkBEAAAUT0lEQVR4nO1d63mrPLNd+zynAd4SSAmkBLkEXAIuAUqAEqAEUwIqAZVgSoAS5vvBxYABSVgYkrB+7J2LgkGLuWo0+kc4ceLEUfF/e9/AiRMn5nEK6IkTB8YpoCfWoSj2voNfBjH501NAT6yC+E72voVfhsulmvjpKaAn1iD5dsO97+GXISumJPTfmcU9oY/k5sV738OvQ3VBZo1/eAroCX2Ii3vKp3mIi52Pf3YK6AltVF/2q6o/8T745cUxOWPQE9q44n7K5xZgfjJ... | \begin{array} { r l } { \vec { v _ { i } } ^ { 0 } } & { { } = \frac { \Gamma } { 2 \pi } \sum _ { i \neq j } ^ { N _ { v } } \kappa _ { j } \hat { z } \times \frac { \vec { r } _ { i } - \vec { r } _ { j } } { \left | \vec { r } _ { i } - \vec { r } _ { j } \right | ^ { 2 } } + \frac { 1 } { 2 } \left ( \frac { \Gamma... |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABZ0lEQVR4nNWV3XXDIAyFb3q6gFZgBVYgI3gFdwRWaEegIzgj4BHICGQEPIL64OAIB52Tn6fqxRa++hAcST4w3rOPN+PfB3zu/MtpIWdv/nm5j7EkPW4sEADYwMzMZWD2zgAAudUAAN8yogXEiiWfS7CJmZknAKUqsid4HWBgva8HGMqNKjQJgwoIFNddDEDfxZcegL1TAWbatvEl26mbASfSAHFoZPWoewCrgCHLeFRPAFamSyJIFpI1t/fjAuFV+1l1zRp3LYkvIoO... | \Im \mathrm { E } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABaklEQVR4nLWWW3HDMBBFjzsloEIQBVGwIZhCCkEUGgimkEKQIUQQIggSBPXD8jPqJHHk+5P1ZLVHd72zY2Jx3Vr8/ETx+lqwLFoaYCQcCLi1cCRAI7Tv1oAqUk7f4UcSvmBRtCgglVwBPhb/NE0zBL9V1ZTCfc6h61FDZBmj97Vw0EM9AepNXpXTMzYXAAdyAhRzsGjR5MAGlNjkmdzhbdIDgEXIFNwb2Lbsac0tml+BK9ihNUBto6KA6d7BIsoB5rUhEUPQQX23ZrJ... | \mu = 1 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABWElEQVR4nO2VwXGDMBBFvxk3oBaUEpQSSAlKCaQEXAIpwS7BlGCVIJUAJaASfg5aERtLdk6ZHLInBG9Wb1cL7IjH0Tx5/g/8HrAHgDDGGWaoAxHRQVdSMAVwZDEEmICpDIikg65sIUBA+7hMB1Or84mCODgoDcwu1rYIaOPh9dO9vN8jJEmNvj2SvKAt9sED2ku/ti5NUsCQq5hLW9ic2VcztLlfatvQBkCIGXD3DW1SF0wJGHcHyQArd2K+EtwkSZVnoYMl6VfBJfV... | h _ { j } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABGUlEQVR4nG2SUXHDMBBEXzIhIAoqBFFoIagQQiGFYAoxhBiCDMGGYEGIIFw/YisbW/d1M9q5fbe6k7HWMJMLoeOzLrX7BSDs3jnXzmzxDQEm5eBpu1LBAmH/bmcZNsL3wUEFcwtBLXwDQRmaCMrQRFCGNsKpRs1X5ukY5uJc9A3ICYIlH26pc9wbkB1cbyGZmSVIR0GEENY1IR4FDvwWg39b12ZC574Fdc0R4hZDloWrYIYo4qNAc/yITFPYysOyZ/gYkAk1ynNj6iA... | h |
"iVBORw0KGgoAAAANSUhEUgAAAHYAAAAxCAIAAACAmMqSAAAXCElEQVR4nKVbyXbsOHKNCAAcc5BUr3vRC/v//8De+U+8sBddr/pJykzOGMKLICORTKm6zzEWOhSTBBDTjQnE//yv/yAiYwwRAQAz619EDCEwszGWiBAxpYQIzGyMMcbIk8zyN+m7yICIgAkAGIi3gYiIKDMjYr5WNhAAUkryj6xLRPqYTrU+nu7X8pY+H2OUVWTDcpFSlAfyt5ReHfKwrghfDWbWd/WOvJvft2VZppRSSrIhYbdc6OzGWFmYiIgwhBBjVJYhEgCkxNk... | \frac { 2 } { 3 } = 6 : x |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA/klEQVR4nO2U4Y2DMAyFv55ugayQFbICNwI3QlbIjQAjNCOUEZoRyAhkBDyC7weoAgFVpf6rsBTJTuwnv2crF+U9+3qz/gQ4AQD4fi0tGsED8IsxzfJJD60ZH+7gVf2gqqrXe7/KWlGQVBZR3bYyu50BkwCwlTukkLumdU7sHNpGongLIAATeKJI2KcwOtWhvq0aHEMYVDWE6ajqqFr1+xRiBbYYaJ+omTsgHVAAhIpZbkAiE4W6A/FkRwaoFhWLDjwpJRdLnJUsf9G... | \alpha _ { i } > 0 . 5 |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAHjUlEQVR4nO2c7ZmqOhSFl/c5DeSWEEvIlBBKwBKwBCgBSiAlmBJICaYEU8JJCbk/+BARAwKCzvX9MR9I4sZFVvYOmdk5fHln/tk6gC9+vgK9OV+B3pxbgXQQCAAIgmSTaDy8cWgv5c/Nb1aBAYDaJBYvbxzaS/kz8LrU1oASzusDwqTLNvjixS+QPNryhwyMEwYoo86LNvgygFcgmcQMXFutldUaABCe6ZIN3g6rCQOsBh8+d8m2D/EKZM4EAAMHjNYAGPN/2k83uMW... | \begin{array} { r } { \left \| \widetilde { \Lambda } ^ { - 1 } \widetilde { V } ^ { * } \omega ^ { ( - ) } \right \| _ { w ^ { k - 1 } } = \left \| \beta ^ { ( - ) } \right \| _ { w ^ { k - 1 } } . } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAqAAAABACAAAAADgjJqyAAALp0lEQVR4nO1d7ZmroNZd531uA9wSOCUwJZASPCWYEkgJpgQtIZagJcQSQglSAveHX4BiFHUm8z6uP2NmDKwFmw1sPuaPxokTn4v/+2kCJ07M4TTQEx+N00BPfDROAz3x0TgN9MRH4zTQEx+N00BPfDROAz3x0fjPz2QrSwnOyM9kvg2/mLof4aJkKQnjuxPq8SMetLpcJSe3v7efyHwbfjF1P8JFyctFIr/898Di0N+PFym01lpzRD+Q+yb8Yup+hIt6kVRrrQuCeG9... | ( 9 + u _ { 0 } ^ { 3 } ) + ( 6 + u _ { 1 } ^ { 3 } ) \alpha + ( 3 + u _ { 2 } ^ { 3 } ) \alpha ^ { 2 } = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAACQklEQVR4nO2Y25GjMBBFj7cmASYEbQgQgjYEJgQmBBEChAAhmBCsEKwQrBBWIWg/DOJlL8N+rFw13C9Qd59ubrUpFyfP99aP2APE1mFA7AFi6zAg9gCxdRgQe4DYOgyIPUBsjQYYC1htx5h7XvaX0KDXQLVb7GCA6wSuNPYToAatf9bPiuYh/ajLq6DEA6DNsvdwHAyoFdR5XuRAm4KWYl3al81DGtEtM14GJa1bpbbna1MOJ4MBlgQMUICzsj81090DxulmIandMuN... | \left ( S ( | \mathbf { k } _ { 1 } + \mathbf { k } _ { 2 } | ) + S ( | \mathbf { k } _ { 1 } + \mathbf { k } _ { 3 } | ) + S ( | \mathbf { k } _ { 2 } + \mathbf { k } _ { 3 } | ) \right ) < 2 |
"iVBORw0KGgoAAAANSUhEUgAAANQAAABVCAIAAAC+UF0yAABiiUlEQVR4nIX957IkSbImiCkxMyfBDsvMSlKke/idAWZnXwePgSfBKwEiECxE9g8gO8DMnSbFkh0azIkRVfwwdzuep/piXVqqI+NEhJubKddPVfH/8n/+PwEAEBERAMQY+3Hw3td1a4wR0BACIlprETH4KGCITAjh6enp48fPt7e3x+PxcDgc9qmuwdXWWmttdTwe9/u4WsH/9J/+/T/9079ng0RkLSMiI6kqCIYQRISZDREAGGOapgkpdV3nvSciYwwiKiQRAQBVRQR... | ( 3 ) y = \frac { 1 } { 4 } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAB60lEQVR4nJ2VXZmkMBBFz/S3BmIhFmIhKyEWWAlZCVigJQwSQAJISEsACXcfEv566GZm66XzpanDraqb8CH+I+ZxNsbltX4eQwCgkiR9/FzB/Y8JxvYtnX9W0MQ4XAuwcZIkS5SkA8Asut5XkH+gewY0gLkG5EiQngEBC803cuvg13ftABM0lnCVPlUAzuKfATVMEaaLfIetk1TlHu4BjqAB6veAumh0pdgNMEAjWdx7gM+9E+Rp3FZ/tJgAgfFxYaQH8PgNrp0PRrJ... | \Delta n ^ { a } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAAC2ElEQVR4nO2Y4XmjMAyG395zC3gFdwR3BDICNwIrwAjJCDACHQFGCCOEEeIRfD/aI5ZsaOGe/ov+ySb6LH2yJOcl8LPy64ftPwGeAE+AwwDT65xZfX/zmdVwQK72ml1v3T1Z+50cw8TaXOXO/6d3WccqToPRixqx+NLBuzuv+lZWeiUbolsFuHwYQqiLVfvhbvrvAIQBqFdsDNzkQmvKWFE07AewOgoGs7G9O007zfvoiXmrOpnBURadwNY2sdhMwLCoF6cyaIJ4pWo... | \Psi ( t ) |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACJ0lEQVR4nO2X3bGbMBCFz82kAbWgFtTCugRSAilBLgFKgBJwCaIEVIIpAUo4eZBkBNjGydyJX3xe0M/u6pO0LPYX8V79ePP6H4APwPsBfmbtuffQope+AoC5VeVhmL4HRBYnoF8mlclHjFq78qZKSdUImtS3QpJOQ3igShfWWoXySuqOJDlBRAyUiOjgP4mGETEQl/tmACIkWSDOl2YiabU7BCjUQJKTAslBNSTpDEkHS9LaaFfCkbyaZY8bgIYkOwR7qyaSbCYeAZQ... | 2 ( 1 - C ) T D |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAADUklEQVR4nO2Y4ZGsKBSFT09tAlRtBGwIvBCYEOwQnBAwBDqCVxqChiAhSAgSgoRw9geg9o52z6up2pkfc3504dX+OFyvgF6I762XrzbwTD8GP6tsMIavtfFOPuZGNtiIL7NyLPmWGxcCQKN1Po43yCCr5LexAEInDNBAVfBOCFR/1FG8QcHXcof5GGXwNjVIclZcNWpyljNJzqIlyVEZkoZcDLlU/DONmqRpN8xHKckDXwDg9p/xSNkBgGsHAIBxDgDgAQgNAN5haG4... | \left ( g _ { x } ^ { \mathrm { R A N S } } ( k , y ) , g _ { x } ^ { \mathrm { D N S } } ( k , y ) \right ) |
"iVBORw0KGgoAAAANSUhEUgAAAE0AAAAeCAIAAADmcQS+AAAOKUlEQVR4nF1ZWW8cR5OszLr6mJ4ZziFLtCg/GPCT/+0C+7g/y4DhbxdYaSWRFodz9VlH5j7ksJfeBkEQzenqisrIyMgc+I9//zdEVEoppQAg5xxjJCJmVkpZa5k5xggA1lr5ACIyMwBorQGAiIwx8vmcs1JKa01ERKS1VlrL+kSkAIwxaB0AKJBLK6UYFM9XVtZaeVxRNsZMYVBKESVjDKWIiMZgzpmZnXMcCACUuq0wA3HOpZS01nLHxBgRkYjk34JQa22tTSkJnqq... | W = - x + 4 8 |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAACpklEQVR4nO1Y23WjMBCd5KQBbQlqQSlBlEBK0JYgSpBLECWQEqAEKEGUIEq4+yHesvHGsA9yfD8GrKOZYV5X4BfQ98brv36AP41ngGfHM8Cz4+1Qa20uG95IeajRncCRKD0EYA61uRMvR5+D7/XBBnfi6BlsxMEG9+LwANnBBvcikEzXhsRXVcP4giOqqmHcUJWTVFcNrFTaWwSTKR6p/hUyAgCv/DCTJNdTShJAOe2IMFephb2+yTMVrdnit6nicRAA6Hr6fTVAq7d... | ( \textbf { L } \textbf { K } _ { q q } \textbf { L } ^ { T } + \boldsymbol { \Lambda } _ { x x } ) \textbf { w } _ { \mathrm { ~ e ~ x ~ t ~ } } = \textbf { y } _ { x } |
"iVBORw0KGgoAAAANSUhEUgAAAJcAAAAgCAIAAACQMn3jAAAYlklEQVR4nHVbSXcbR5KOXGrDTmwkQIoUTUmUaO32zLj72dPd7/Vv7kMfug9+PSO5JVuWLUuUKREiKVIEd4BYasmMOURVIgFq6iCBhapcIr74Ykuw12+3EREZMMY45wCgtdZa8+xijCEiImqtEZExwRhjDAEAAMy39FnB5DMgR0TBEAAmNwEQkd5yXTdJEqWUEILGF0IwxpRSAECLQUTkDBGFEGZGAcysBwAZLQhRM0YP0J9mXkSdvigEx8m7moF5nrZMn8G6oiTinHM... | [ 2 8 . 5 2 ] = 4 . |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAAAgCAAAAAA+x/A5AAAFCElEQVR4nO2a3XXrKhCFt7LSAC6BUwIuAZWgU4JcglSCVYJUgl2CKMEqwZQgSpj7oD9AKCaOY591k/2SeDLzgRkBA0pC+NUr9f7qDkRIVxqiYN9PKzsAQJY/ABfb6eSOGXBPP7/Syk6ITonLg7guzfkujQYASPkAXGyn75kB3PnxXZpbUbwFykp9Zli25dGc73LHE7WFi+70PQnIgc4gZjwi3T5uheUAZGU2sB1EHDBI87/LJ2lrXNi+rTed7pJdegaAJk2SP+eIxsu... | V = \bar { \theta } \bar { \sigma } ^ { \mu } \theta v _ { \mu } + \bar { \theta } ^ { 2 } \theta \lambda + \theta ^ { 2 } \bar { \theta } \bar { \lambda } + \theta ^ { 2 } \bar { \theta } ^ { 2 } D ~ , |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAB+klEQVR4nO2X0ZGjMAyGv9xcA27BLbgFrgS2BFrwlpCUkJRASoASoARcAilB90DYxWAv4jI7cw+rlzAe9CHJ1i/nJLxmv170/wF8A+D97ZZ6K/R5gixscIAbZWVdSb1e+7Al4GoAKFaveKBRAfy58QDn6I0KsJ0KICLSAWaZRAXVkHXfAuQch1Bh8vknAWLBLnAmH30GcAVmp+bzUQ8QC356Gi3XHf8UwH/kUFLt+acAw5xDnThUGoC4KYfR7hYgAziDExE/l+IwYAB... | Y _ { p } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4UlEQVR4nKWTXXXEIBBGb3rWAJWAhVjAQi3UQjVUQpHQSCgSFglBwkbC1weyOZBA8rDzApy5Z36+GQZxbm8X/mvgBoBPR49zBZAiAbA2+5YIkAG02i8wPx+PH8Nnvm7Ao4Al3Y3bAaoBfdl8DpsOA5SaLO86b9OMqQt4AGwfmCi6bNUwlLU0IoTqdTu4gq+AKoWDlKjbPQo1j5VgDSXnK0BmBSVJLR3GfHx3athsPB/Ws8H+Tk5Z6z4Q7DkQvamLnNmtHH+SpHUWSwy... | \textrm { E } |
"iVBORw0KGgoAAAANSUhEUgAAAQcAAAAtCAIAAAAsiTkUAAAsS0lEQVR4nIW9W5bkOg4EFgBIqbqP978I/3oD3pSnSiKB8AdIiqnqa2vu9MnKlPgA8QyAlPzf/9f/KSKqCiAiSAJQ1fU5r/U5IszMo6mqqpI0s7yBJEXyS5KARoSI5IPZi5mRdHczc3cApRSorO5EuHWn+WB+s5qad4qIRHQR4fhlfJnjXN+sP0VEtazR5k9CkCylRMR4SnTdoyZr8K01ksdxtNaSSmNIPoYnIhCSTAKu0eZPJAO+RjhJXSKC9Oxl0XmRcd2cP5nVpNX... | 1 3 0 \div x \cdots a |
"iVBORw0KGgoAAAANSUhEUgAAAyAAAAHACAAAAAB/wFMfAABVbklEQVR4nO194Z2yPPP18f29DWRLyJaQLQFKwBKwBCgBSoASpAQowZRgSjAl5P8BVAgJRBDleu6cD/d9revqgTNDkslk5qDg4eFhw//7NgEPjz3DO4iHxwS8g3h4TMA7iIfHBLyDeHhMwDuIh8cEvIN4eEzAO4iHxwS8g3h4TMA7iIfHBLyDeHhMwDuIh8cE/v8nvkQIMPKJL/LweDM+MILw8DcMf05i4i3Hw+F3eyIeHi/jsHm6u/hDHKAqyVUfRKqyoO2/mqYSPu/... | \begin{array} { r l } & { \left ( \widetilde { J \frac { \partial \xi _ { 1 } } { \partial t } } \right ) _ { i + \frac { 1 } { 2 } , j } ^ \mathtt { 2 p t h } = \sum _ { m = 1 } ^ { p } \alpha _ { p , m } \sum _ { s = 0 } ^ { m - 1 } \frac { 1 } { 2 } \left ( \left ( J \frac { \partial \xi _ { 1 } } { \partial t } \ri... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA9klEQVR4nNWTUXHDMAyGv+5GwBRMQYPQQTCFDoIHIRRKYYXgQPAgpBBcCP8eHKeJL13fdje9yCd9PumX7IP43V6e5P8CeF2dxzFYPV0vN4Y5qmbpCFGSVOIq0XwNRknKBuC2QPKnCCRJ2WFDSl9bwJJUb2XnWm5TQioQpOysrPO6y/wG4/YestvqXNAIuZipszsQcAr4x4AjRCB3wNLD9QZjhEs/60aewZcMfRMLECBJHqYHgMOqlGEfyHCuzvaBOPfvex0NsHl9EU5... | \kappa |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAPaElEQVR4nO1d7ZmkLNM9+15vAmwITAhMCEwITghOCBiChqAh2CFICBKChiAh1PMDUbD97Jnd6d17z4/pbrGg1KKAoo7zg/AP/2X833cr8A/fi38G8Othv1uBPfz/dyvwt6M3muXfrcQO/nmAGVVWALCFLr6iz76Pn5x9QWW/Dv8MYEaKTAMsyZKveGajEXHxBXX9QvwbAkKkhQRsyh+TzsAt65n6Wp1+Mf55gBmWKa0BLR8TN4IVaSr11yr1q/GXeoCbAVKmE+Bm4OZ... | \begin{array} { r l } & { V ( a , i , e , \omega , M , \Omega , \Theta ) = \frac { G M } { R } \sum _ { n = 0 } ^ { N } \left ( \frac { R } { a } \right ) ^ { n + 1 } } \\ & { \times \sum _ { m = 0 } ^ { n } \sum _ { p = 0 } ^ { n } \bar { F } _ { n m p } ( i ) \sum _ { q = - \infin } ^ { \infin } G _ { n p q } ( e ) S... |
"iVBORw0KGgoAAAANSUhEUgAABSAAAABgCAAAAAAoHoMGAAAWPElEQVR4nO2d2ZmrOrOGvz7PSUArBDoEVggiBBwCDgFCMCGYEEwIKAQrhCYEKwT9F0wCBBaT3V673psejEFVKhUaSqUvDYIgCMLG/727AARBEL8VcpAEQRATkIMkCIKYgBwkQRDEBOQgCYIgJiAHSRAEMQE5SIIgiAnIQRIEQUxADpIgCGICcpAEQRATkIMkCIKYgBwkQRCfjjrqxuQgCWKav4e1PGJP8vSgG5ODJIhJkpIc5GeQyGPu+0XpzghiAhFc4neXgXAiUPd... | \begin{array} { r } { \mathbb { E } [ \exp ( E _ { n } ) ] = \mathbb { E } [ \mathbb { E } [ \exp ( E _ { n } ) ~ | ~ \mathcal { F } _ { t _ { 1 } } ] ] = \mathbb { E } [ \exp ( E _ { 1 } ) ] = \exp \left ( \alpha \delta | \sigma \eta _ { 1 } | ^ { 2 } + \frac { 1 } { 2 } \mathrm { T r } \ln ( 1 - 2 \alpha \delta Q _ {... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAg0lEQVR4nO2SSw2AMBBEB4IBLNRCLdQCGpBAJYCFSqASWAu1sBZWQrm05dKUCxeSzmkz87KfZIeItsaXvAOfA+ws1tACjMBIrUVM2s54xUelLjuEBQyigOBwMPk8rgDa02KV8aI9hM2skz9lYAfACuCUsKqcuTmaNRQJA5S8ob/cf4Ab85pBEqI3NCMAAAAASUVORK5CYII=" | v _ { \mathrm { o u t } } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABc0lEQVR4nM3V0XGjMBSF4d9MGlAL2hJoQZSgFmhBKcEpgRbiEqAEKMEuwZRw9kFgjK7t3UwekvvEp5EOd4RsHcT3qvrm+l8Q8AYwDTOEsI3OpwvE+gn3ls7LSt9rqURMrSNeH3JvdHbgc8aS0NJLunrCIxZGHfEsqXPgJUkdrSSph86yNEo+tzauLXjG/CpPtCyN2qS1NZKkT9w2cC1pXOHisrfLrk7rAx6mksYVx7sBD0y3r1XngB2N7w7SAGHXATCXNN4FtD4Pbi0... | 2 0 0 0 |
"iVBORw0KGgoAAAANSUhEUgAAA+AAAABACAAAAAC/uELSAAAPp0lEQVR4nO1d25XbOhKs63MTwIbADYEbAhwCHQIdAhwCJwROCJoQoBCoEKgQOCH0fvCFBvHSgPJda1E/tiSi2dXVeBLE/EUoKCh4VXz7px0oKCh4HkoFLyh4YZQKXlDwwigVvKDghVEqeEHBC6NU8IKCF0ap4AUFL4xSwQsKXhilghcUvDBKBS8oeGGUCl5Q8MIoFbyg4IWxV/Db9fDj7ce//vPzc/v4+fEEB64334fH4aBg4in+J+FMkl4E1YqExkCSewnmTuJ8//m... | \langle f ( T _ { a } , Q ) \rangle + \langle g ( T _ { a } , u , V ) \rangle = a f ( \langle T _ { a } \rangle , \langle Q \rangle ) + b g ( \langle T _ { a } \rangle , \langle u \rangle , \langle V \rangle ) + c , |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABAUlEQVR4nO2VUW3DMBCGv5tGwIPgQPAguBAyCBmEBEIHoYEQCjYEF8ICoYFwfci0xq3VbOrLNOV/8n+++3S2dbIoj+npwfr/B4hvu10lEmHqKhGpuhGAj1cReXmPJYIu1c6xoINpk2pwmKSaXD2oftZw0BtxHQhACCapqmoCczqZue5kIawD1MFg08Uc/P7SX/MDgAffLs5k/aI5c5P+XLqXOCzMuF+YaeUVvuRN5kop9wE2M6aUch+QldhSxgrgN9oAG6AMGK9G5vi... | \mathrm { m } |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAJOklEQVR4nO1b25WruhIsn3UT0AlBE4J2CJoQOCHgEDQh4BAgBBMChAAhWCFACLofgN7ya2yPZ0N92dAgVaskuluwU9iwZvzz0x3Y8LPYBLBybAJYOTYBrBybAFaOTQArxyaAlWMTwMqxCWDl2ASwcmwCWDn+egEcqp/uwXtjZzaDqto/WbAX9qTvpQQljAcnaklIdkNX+tH6/cUb869tR8loRmJXjXUvZRc99WzPJKnPqHsJCs6inbtsbPsDAODcSGl0QfuNehWGgur... | \Gamma _ { a } = - 3 0 . 4 5 9 6 , \Gamma _ { b } = 3 . 8 4 8 7 |
"iVBORw0KGgoAAAANSUhEUgAAASIAAAA0CAIAAAChJKLTAABJAElEQVR4nJW96Y4kSXImKKKqdvh9xZWRmdXNnmZxBiDQSz7yvsIC+xazIDDLJZfT6K6qPOL22+1UVdkfn6m6RURVc9Z+JDw93M31kOOTT0TF+P/8P/53pRQzM7MwxUuYRaT7j2IiYtZExMzee+ccEeGLikRElFIiwiL4DK7uVuE+0ru67+IiFhHvvfeeFFdVlWVZmqZN0zjnWGutNX6RFIsIbm6MUUp5krZtvfdaa80YAymlrGucc2JdHAzLeXaYES780bWeiDwJM3s... | \Rarr a _ { n } = n ^ { 2 } + 2 8 , n \in N ^ { \ast } |
"iVBORw0KGgoAAAANSUhEUgAAAEcAAAAjCAIAAABJt4AEAAANlUlEQVR4nK1ZyXIbyXbNoTKrUBMAYiCCJEhRIbWi1Xb0xzvCi7d4EV5609HRbsmaOIggQRIgiRk15eDFAfOV2A7bC9eKLCQy73DuOfcm6N/+9V+qqmo0GkoprXUYhpxzIYS1tizL9XpdFEWappRSQgjnnBBCKbXGEEIoJYQQog0hBO+xjO4+IIQQay3eW2uVUsYYSimO0FprrYUQlFKtNedcPz/4iu/7nPOiKPI8L4rCGCOl5Jx7jBNCPM/zfV9bY4xRSgkhlFI43ZN... | b = \frac { 1 7 } { 8 } |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAAEJklEQVR4nO1Y7XGkMAx9yaQBXQm+EpwSfCU4JTglmBLYEqAEKAGXACVACbgE3Q/bfC3evV/JZYY3k8xg++lJQhaafWFceITX73bgf8eVoCe4EvQEV4Ke4ErQE/ygBLmXr0eBl5/zmffD12sK8YMS9D34QVfse/AKwBWZzaEAnHNuwuCcW9dW/Mkwj6wNJn+udb58tPvI1Qwygifqp7Exsxr5HJ1iZkkjM1u7XVtQVhnqgbWizzHsnNnY4rGrp8gK3qufxQbm0eRYnWJ... | \langle p , \sigma | U _ { \theta } | \varphi \rangle = U _ { \theta } \varphi ( p , \sigma ) = \eta _ { \theta } \overline { \langle p , \sigma | e x p ( - \imath \pi s _ { y } ) | \varphi \rangle } |
"iVBORw0KGgoAAAANSUhEUgAAAyAAAACACAAAAADW71LHAAAXd0lEQVR4nO2d7b2jLBOH/+f53Q2wJXBKYEsgJZgStARSgilBS9ASsIRYQixBS/D54BsIGpODJrvL9WlPko0TnQFmmBm+Wng8niX+924BPJ5PxhuIx7OCNxCPZwVvIB7PCt5APJ4VvIF4PCt4A/F4VvAG4vGs4A3E41nBG4jHs4I3EI9nBW8gHs8K3kA8nhW8gXg8K/z3bgE8rijLilH2bikslFVJKX+3FC/iZ5C/hPz7nJfR7+/03YLMyb+jEtX516V5tyQv8eULpv4... | \beta _ { \mathrm { p e r t } } ( \lambda _ { 0 } ) = \Lambda { \frac { d \lambda _ { 0 } } { d \Lambda } } = { \frac { 9 \lambda _ { 0 } ^ { 2 } } { 8 \pi ^ { 2 } } } - { \frac { 5 1 \lambda _ { 0 } ^ { 3 } } { 6 4 \pi ^ { 4 } } } + O ( \lambda _ { 0 } ^ { 4 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAyAAAABgCAAAAADAq0lFAAANnElEQVR4nO2d65mqOhSGv5lnN5BTAlNCLAFKwBKwBCxBS4AStAQowZRgSjAl5PzACypIAlmEgfn+jPvZyMobs3LPypfGn/70pzZ9075e0L7+s23l0bhXcs/osxKpg6hoRfn6Dq0jf8XEL7lX9JmJ0kFUJE6Er+/SAT++qnHP5D7R56YvujGIimTByd4+5QR4J59ACuYiOgch+o2UKMF5YPbsCifmOgH7pOuVVKXTO/oipamUoHD/0kvKgpAD/GD0+Ilxxwk4x91YJOT... | 2 8 : { \bigg ( } x + { \frac { 2 } { 3 } } x { \bigg ) } - { \frac { 1 } { 3 } } { \bigg ( } x + { \frac { 2 } { 3 } } x { \bigg ) } = 1 0 ~ ~ ~ \rarr ~ ~ ~ x = 9 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAyElEQVR4nMWTURHDIBBEl04NYAELWKiFRkIjoRpioRKIBSQUCUQCkXD9aZq7g5KZ/vQ+j53lsTsYQn9OB+c/CNZhkAtSc1eryiHCda9YEy5dQQR8V5CgHDSkh5OLs7RHgouAt5+l2aM23LfF8E6hEBEvSCN4BSVfUaWgnznrFLSgTkExuApBMixLbSAEVRFa0ELAAYJgWDeEcWo7BCAQEWVb2g4bwnTbywSv2wIWwJyeXyAzUIiCyxzS8GYf49UlBMsNzB/+pp4XzHj... | t |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nLWSW3HEMAxFTzolYAqm4EJwIYSCKSyFLYQEwobCQnAgOBASCLcf/bGcOp1Op/qTdEa6egzi2l5+yH8DvA3DegU8VzjqgBorjlT7J0B7Nu7wD1P8Fng13jbjkrNErTj76eHCbqaogeKzFLl3gThJCsQekL2kAjcDVFMsCVgg9ESORVLA2803t8hthxa4QbkEHMEGZFc9H6R21wYfYW8qGKBAkjSNvRYLROAZey0iXlJxe6/CV4EPc3ADBBzM672Omac93rd... | i |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAHwklEQVR4nO2c75mrKhDG3z1PGuCW4JbALYGU4JZASiAlxBK0hFiClrCUEErQErgf1MQYQQzo7rkPv0+bk8nIOw7/RjwfGpHI+/z56QZE/m5iAkW8iAkU8SImUMSLmEARL2ICRbyICRTxIiZQxIuYQBEvYgJFvIgJFPEiJlDEi9+UQPXXPx8f/xQ/3YzIGj5+z9P4U5GkUCUa8tMtibhz2O9SbQYIc3LIumIAPpVk+7WplKDpfpf7H9KNQHUN9LdNtsBlk0sda+QcOKn... | E = - ( \nabla ^ { a } \nabla _ { a } + E ) ~ , \qquad \nabla _ { a } = \partial _ { a } + \omega _ { a } ~ , |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3UlEQVR4nLWTURXDIAxFb3dmAAtMAhawMAtYwMIs1AKT0ElgElYJrYTsoystg9Gvva+Q3EMISTqhrdNB/Bg4Z6fHOGK0yXySFJxaXNpvTklA1IALMVjAV4ABVBQREQvEBOwf6ZbkPXAv3xCtnT6mBlum2MnCtZpiJ10rc7sVQitFD7pSZtKkYWgBHpw0gABGGkBUmKkBFPEvYDKolzSA69qwH4Av4xnQZx9QAlGlQXkNNcBsTXZUgBusBcRdD7t1cebLrD7jPD9Binb... | 2 |
"iVBORw0KGgoAAAANSUhEUgAABMAAAACgCAAAAADPmk8DAAAlAUlEQVR4nO2dv5mzMJDG373n0gv0laAtQVuCnF+CS5BLECVAfBHkl5gSoAQoAaKLoYS5gD/GtsAYg41t/RKv17toGEvDaDQa/RAsFovlPfmPVwtgsVgsc7EGzGKxvC3/+WoBnk4Wnb8XzmvksFgsD/N9HljVvPoX7y0Wy9vx87VB/O+9c4vlY/g+D8xisXwM1oBZLJa3xRowi8XytnzfKuQMkp1g9U9VJmPA9WXzgfZeJ5XFYrEGbAJMAlkFAFIKAFxWGcAEJH+xZBb... | \begin{array} { r l } { \mu _ { \mathrm { w k d e } } } & { : = \textbf { w } _ { \mathrm { r e c } } ^ { \top } \textbf { X } _ { \mathrm { r e c } } , } \\ { \boldsymbol \Sigma _ { \mathrm { w k d e } } } & { : = \frac { \textbf { w } _ { \mathrm { r e c } } ^ { \top } \textbf { 1 } } { ( \textbf { w } _ { \mathrm { ... |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABtklEQVR4nO1WW3HDMBDcdErAFERBFBQIoZBAiCFEEBwILoQYggUhgmBBuH74pZcvavPRmY73JzlbWt3trWQdCO/h4835O8FOsBNM+IxiU8NaAJWcYgcA3JalFGdALsHQCFSZQTNyBBK4euETiiHIaOAMoLxYqHTMtgYAOoQEkBxBJoMogRfIEHTxmpZLISXwJHB2/Km4FBJZ2/XhbWxGzzQh0wVPAjPmzoqYZrC6oMfArT0iIRgAPIiI6CFlMjxF4oMOgNYAjMOVzX1... | F _ { A } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABgCAAAAADXmvNUAAAGUElEQVR4nO1bzZmrOBCs2W8ve9SEoL3tVROCuO4NhyCHIELAIUAIJgQIAYUAIaDNoPfAvw3PeAzI7xvqhGVZNKVWq1uUPwg/G3+4NsA1DgJcG+AaBwGuDXCNgwDXBrjGQYBrA1zjIMC1Aa5xEODaANf48QT86dqAJbAGnAMATIyQrTr27+ABQWCN51kAEDq+dO0Xs8bo9PaIQiKqmKg/+axq2gtEK4z+G3hAEgNgymQAAGWTpj2DXGF09wScP748z/v8AoDy42/P+7z... | v = - ~ \frac { K e ^ { 2 \lambda t } } { \sqrt { 4 + K ^ { 2 } e ^ { 4 \lambda t } } } ~ , |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAAAgCAAAAADfmpiZAAAIB0lEQVR4nO1b7ZmrrBZduc9tgFsCpwSmBCzBlKAlYAlagpYgJUgJUkIoIZTA+0OMYPwgM+c9M+c+WX8m4+zFZi93+NgwF4c33vg8/vPdHXjj78Z/n55YrS0AzqOnkvAnyzfewCWewqSWBpQCxiDnOQEAKK0lRP0d3Xvjz8M2mhYs1TpKoFJazvzQY6WSIAwwBpQzn0tv/N/DfhTMVENqBkUJVNE4T5S2AGHsnTy/BRmg7Y/ftHS6BSrbArgQBgzH5pcfH9AZDPkZ+a3... | { \widetilde { \operatorname { R i c } } } = \operatorname { R i c } + ( 2 - n ) \left [ \nabla d f - d f \otimes d f \right ] + \left [ \Delta f - ( n - 2 ) \| d f \| ^ { 2 } \right ] g , |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAB6UlEQVR4nO2W23GrMBBATzxpQC2oBbWgFkgJogRcAi6BlIBLgBJMCVAClLD3Q4B4KDaeZOb+sD9CK/ZIaF98CL+Tyy/tT8AJOAF/Bfj0Q/ed75aaO6ATFTe84jQAIiJ95sellHp8M+u3SyIiGVQiIoJInyl2ABf2MhFCxQzw5luAQ7myqgoLkOzsex0ANq+SHaDEtv6pAGi3gAQWnyDtDqDDpg7IN/YlyQy4AJqNfFPMzxYY1stdasMVReOgLoLvdnRIKcPkMwYoN3O... | 1 3 4 |
"iVBORw0KGgoAAAANSUhEUgAAAToAAAA3CAIAAAATyRFhAAA3e0lEQVR4nM19WXPjRpbuyQRAgOBOitpKVbKrxt3umJeZ//8HbkzciPsw89B22112laTSRnEnQRDInIePeXQIkCxV2W7ffFBQIJg4efLsS0L9n//7/2jPsNZaa/d9+1uHVRjWWmsVP05rTURaa3yLe5VS1ubP8KgtqH4vOHdOYozxPM9am2WZtdbzPE/7Sqk8z4mISDOQ5UnwGX+NMfxVYXXGGGOMcgPrlTcU4MF6CzfLZ+28n3+CezzPw29fjhx+hES4MUbOsw8MHhJ... | h x ^ { 2 } - 2 b x h x ^ { 2 } - 2 h x ^ { 2 } + 1 = 0 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAATElEQVR4nGP8z4AfMBGQH4kKXIUYIcAVh4LdaQzl/////99hTMAKZHkGFmwKlAgoEBQkYAUKGCEKGP4jQLkgg1L57v+ogHE02ROnAADGxCWdA4RDnQAAAABJRU5ErkJggg==" | \Gamma |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAklEQVR4nK2T0ZGDMAxEXzJpQC1wJTgluAVacErgSiAlQAspAUqAEqAEXMLeB5AjF4fMzWS/JGu9knbsg9jH8U39c4Tx8ntUX+Mc3L4BJGkqDd1RgPNF7o1KEioKT8YjYUYlSUcgTPlDWwOwMASAE+XTXKFsybIlOSVH9/9f8zXSLegjzl4r3M51235dZr/W1Tc+WJgkdWbd4sNf5JUBroyXmFRYMUGRVlhgjtv+msaYIoxt3KZPPsRzdN0mf1LoIz17BCCszbBEC59... | 1 5 |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAACvElEQVR4nO2Y0XGjMBCGv9xcA7oS1IJaUAtcCaQErgSnBFyCXQKUYEqAElAJugecsCsEAU9yMzfjfYrEej/tL2kl5SXyvfbjm+M/AU/AE/AvAD8zfcEcDBLaLgzg8G7505ha45d9WzaenAhXNsnnl6TYnc8dHCiA4e0cjLceaMM1AEWts5C0vrL5rD7MUar2xWLquVlbwN2khwhWF0CxCejhItsVFKPSywFOds3BDJhqjJuAE1Y2S5KE7oQiC8DWY4zbAEel4xcLlx5... | 1 / Q |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACgUlEQVR4nNVX23XjIBC9zkkDbAmkBFICKkEpAZcwW4JdglWCVAKUIEqQSrBKmHzoCUFHzlpxvPdLiNedmTsDHBjPjZdl4/yenVODDofHkEnuPXuw+2ilQyMTg/B7fl540MnGEopfo5LGgmB+AfTvMVnBS9h8eoLPh4hg+3gGRfZ2BtAd3/5Uie5DmJ/vnk6JQbdncRa1c7Mx4eiEB6PLBJy2X/tfg9ZffyuRNbiorTbGF13tMwBnfWrfkiN4AQsB4q8IR+2NCyQzM9c... | \lambda _ { 2 } | _ { \mathbf { F } _ { 1 } } = - v _ { T } |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAHCElEQVR4nO1d65mjOgw9c7/bgKcEtgRPCU4JTAmkBFMClAAlQAlQApQwlIBL0P6AJGAe4WEImeX8yQ5JLMXHEpIlsx+EE++M/16twIl1OAl8c/y/oyyV54XDdxT4IiVyF3kkNhXxwI4EfioAtnYxTatX75VKGAaP/NTMSGFRvY7Mzo4ElvDdzsXUx15rdVgJ02DCNzNQkQPI1UEIBGTv3CV7qjCkxDHhAcBl1JzPIOZFUIWZcU4Cd0Xsfn8qAHD//MmNjLirC/23UIQ... | g ( x ) = \frac { 1 } { 2 } \left [ \ln x - \frac { 1 } { 1 - x } - \frac { \ln x } { ( 1 - x ) ^ { 2 } } \right ] . |
"iVBORw0KGgoAAAANSUhEUgAAAy0AAABfCAIAAABqcL8GAAEAAElEQVR4nKT9Z5MsOXIoCro7EBEpK0vXUT3dPUNyjLzC7ntm90fulzXbX7W7n7jL+0jOTPfRorRInREBuO8HB5DIyDqHfG/DemryZEYgAIfDtcD/x//9/+a9BwBjDAAws4ggooiICGQXERljEBEARISZ9Wb91TETETM3TcMgRVEQkQ6Vxtcb9EtEJCJgcc4BMxERIAAAhfH1Nn2vfqMvwnilL/N5ps/ee30QEY0xxhgR0ZlYa3VWejMiMnNntPRT570JLMzsvXfO6U9... | W _ { 2 } = 9 ( 2 0 - x ) - [ 1 2 + 3 ( 2 0 - x ) ^ { . } ] = 1 0 8 - 6 x |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAAD+ElEQVR4nO1Z25WjOhCsvecmoBR0Q9CGIIfAhCCHIIeAQ4AQIAQRghUCCgFCqP2QeAhsxvNxDx/r+pgRqFrV3UjdcPyL+Lvxz9kOnI1PAs524Gx8EnC2A2fjk4CzHTgb/75PDXIaQB4SN3QAV2XeMrp24/BkpXoelgDQdQBK1CFdZ1LfKSgDrEOYd0B9+860BvBVY/77Bj0xfVtMw/G/8cCokurJ3c4DuHtg9AAAIe6iANAKPUtdum/8Wnly6dZURgyi5yGMITmgIcl... | \langle \psi _ { \mathrm { t h } } ( t ) \psi _ { \mathrm { t h } } ( t ^ { \prime } ) \rangle = k _ { B } T K ( | t - t ^ { \prime } | ) |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABv0lEQVR4nO2W23GkMBBFz2w5AW0ISoEU5BCYEHAIcgizIbAhMCHgEDQhQAiaENofA+gxvGzXVu0H/dUN9FHflujSSfiZ/fph/gE4AAfgXwE+Xk/nKfhz/v2+SZDYfAUUUwg0smEJoFUAZgoBvwWIJbyfL16DHuMetNpS8BL5fafQPcUY38BstoCsIsCNvoZ6S4FkABchHdBtArJt/IiqvoLSbFkG6AktuO5qwUsa3gLgGsPgdu81xcymJII8QbYh9NPbQUvZrjexBTW... | u _ { 2 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJUlEQVR4nLWTXZWDMBBGb3tqIBZiIRZSCVRCKoGVQCVQCWshSAAJICGRMPsA+WHhbJ92XshM7pnvSyZchL/j+mH/M3BbP19TrngApocGiONl9bAsDC9oLcoAEIdnxDTGIil6sFIiKONFRIqHCUyRjnc3WoDSQYPPiddpnYG5hjsb0jJLDGBT+0f06nAPxcJ0b7rqIg4WejtWh8kekoXgmlDvZw+bheX+VopdbKCDVuTbAPsOCdDgpW2ChvYMmIFgO5Ee9BnQg9ZeRIK... | K |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABfElEQVR4nO2W3W3DMAyEr0UX4ArqCMoI6gj0CF5BHcEZQRnBGUEewRohHkEe4fqQnzqS0aQo+tAifCQ/8sATAfuJ+N14/uX5D4GHwF8V2M23uk7Efn+dTtt7BKZmehu+HH8m9lt3XbDTe02zjG5k1lylVwgzlpVsYpmqBe6O0N6TqwSiywzhy8k+ds6N1EjSj6Rf7FvNqzeIba8kx3huCyIdSYbDKWG1zZ1Szv1mgbvSoxWLjMtk6707WWxyblsym0uPktERJKMjoy7... | \hat { x } _ { 0 } \sim \hat { p } ( u _ { 0 } ) |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAACACAAAAAAgg4B2AAAOyUlEQVR4nO2d7ZmrLhPG732upwFOCW4JbAmkBLcEU4IpIZagJcQStIRQgpYgJfD/4EtQo+Jbshh+H87ZxCDDOI4DDPglYbGYy//eLYDFsgZrwBajsQZsMRprwBajsQZsMRprwBajsQZsMRprwBajsQZsMRprwBajsQZsMRprwBajsQZsMRprwBajOaIBi8v319e/c9p8/Pn6+ncWb5XJshMHNGBxilzfJ9HpVwBA/M29Qt7JD3+3YJYd+DpeQvvJuRJABAFoQhCdrz4... | { \boldsymbol \mu } _ { \alpha , \alpha ^ { \prime } } = e \int _ { - \infin } ^ { \infin } d \mathbf { r } \Phi _ { u , \alpha } ( \mathbf { r } ) ( \mathbf { r } - \mathbf { R } _ { u } ) \Phi _ { u , \alpha ^ { \prime } } ( \mathbf { r } ) |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAACbElEQVR4nO2Y3ZGjMBCEP185AaWgFNgQtCHgEOwQcAgQAoRgQjAhmBCsEFAIugcZLIGM4c5bdVdFP63EMD3q+RHeneVn8euH/W8EG8FGsBFsBO/Q7r7eG+09eyPlnKnW4bqpEFHDBni6stba+zXPFJDZOWRTV9EXyuDJHs7F+4O+QOwE+hws96Awenz8hUgiewczIVDAqVriUI08RgjOLcKn6JOcLSJI8ncWTUHWNt5GX6az9bMc5jAO4sONdjKiDHc+S1DU5KO8fJS... | 1 . 5 4 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABBklEQVR4nN2TQW3EMBBF365KwBRMwRRMIRRCwYHQhZBC2ECIIcQQEggNhN+DYyeWVt1r1bnE4xm/mf+l3MTvcX9T/xMNH/mTBoD5UhjScaEjFmdZVGN2uEWS6giHZT8Bk6F3zQ7RO1KtP0LEt0tGx0lIbFibz2Wo/57xJekV6POxEnZjKuHRk3A0hDlIJVk/JVhzUhrCUzLHZS/NWLUjkgfHBjB1UDScKnYDlg3Yk+eywr24ABg2YAi8IETHMSJ6A7G6UBpSJuzssWs... | M |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwElEQVR4nO1SSxXCMBCc8jBQC7FQC2sBJNTCVkKQUAsgoZWQSEgkJBKGQ+mfV7jDnrKTyexk3hbEcZ0+3P8K4bw4x1vOxpa5yTB2QjmVk0BKlSRQYUd0JqQqkVSYjg7QPaHuSFJRkaE0YYRnD74FgAwBTFo4mxSGNwYdV4V1G7ABuMmhhxwH5VFtk1oLviy4dj8iNh6IcRjxKPcKBkLq0IfLm18ASieKRCYJM6EYt7rp69zfcc3qvV04Lf5r/x3hCahW96ip6sMsAAA... | x |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACKUlEQVR4nM2X3XWsIBSFt1m3AVogJdACljApYaYELIEpgVuClqAlOCVoCUwJJw8mI6CAcWWtsB9mVPxkw+HwUxHK1ttfG8ipOIPPwb9PGaweZ2s5T6KpfYdRg90DTDy6E1WcIJ/D/KLB/DKK6MpGNbJrrDihE6QCm5arEdIvihoka4SxP3Z3imyZlmK51Oj9sio2zXQdB54X+eMI75ONjH9prluBG9MA8PHsg9JYq5QiQepMiHdJqEQH2vWXBx2YCDERxlhJLoBbMmX... | \mathbf x ^ { * } \rarr \mathbf x ^ { * } + \varepsilon \hat { \mathbf x } _ { 0 } ^ { \prime } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAADpElEQVR4nO1a0ZXbIBAc56UBWlALpARUgq4EqQRTgijBlHAqwZRwlBCVcJSQfEgXP1toARkfvpzmy+8hz6xHC9pd6/AH3xs/SgdQGrsBpQMojd2A0gGUxm5A6QBKYzegdAClsRtQOoDS+Fk6gCWsBM4P/sYFh+drhkydHtOW70x48i3gOru2pGqVQ+HWAHOoa+r6uj6YaPIAWZhLddqtLEl3tjKD4PIMoDfTGQdyPYUszCWOq1cMZzSeFEgWfO4twFdX7FiBrW6PBJB... | \left [ \begin{array} { l } { E _ { 3 } } \\ { H _ { 3 } } \end{array} \right ] = \mathbf { M } _ { 0 } \left [ \begin{array} { l } { E _ { 4 } } \\ { H _ { 4 } } \end{array} \right ] = \left [ \begin{array} { l l } { 1 } & { 0 } \\ { \frac { 1 } { Z _ { r } } } & { 1 } \end{array} \right ] \left [ \begin{array} { l } ... |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABRElEQVR4nO2W3W3DMAyEvxRdQBlBK2gFeQSv4BWcEZIRskI6gjxCPEI0gjWC+uCiDSW6P4EDNEDuSSKJO5MUJW8y98XLnfmfAv9A4HUlnl0yH6t0FI7NSse0GT6XknG9El1yzjmHtjCvl8EC0cM0GQaw9p4CDWB85wuz6EF6i18bX4Z+Tz84AwP4k5GefAXh2ue/4DiHHy1uEg6RQdNaYDcGAHctNx4sgHEAYwKIJy2T1Iz9fjGDGdjaFhQuPZWAEfu6yQNa8edvl3E... | \tau = 5 |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAABACAAAAAAxa57CAAALRklEQVR4nO1d7ZmzKhA9e5/bAG8JbgncEkgJpgS2BFKCKUFLMCVgCVqClqAlcH9oFBWU9SMb3/X82Y0xyZxhgJkBxg+FEyeOi39+WoATJ9bgNOATh8ZpwCcOjdOATxwapwGfODROAz5xaJwGvAZF9dMS/HqcBrwY0eXj88+fr9OGfxQf50LGMhTXjHKviDKSej8ty2/GacDLkF0qHgKo/iuY7C5X5Mck+tvgqMrTgAEUSQEwOqWx+7030HZ2e78hpe31CwmONx470B/... | \begin{array} { r l } { \Delta E } & { { } = \Delta _ { B } \cos ^ { 2 } \left ( \frac { \theta } { 2 } \right ) = \Delta _ { B } \cos ^ { 2 } \left ( \frac { \pi } { 2 } - \alpha \right ) , } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAABgCAAAAAB5mpgkAAAOz0lEQVR4nO2d4ZmDqhKGv73PbYBTAqcEtwRSgluCWwIpwZRgSjAlaAlagpagJXB/KAqIaDS6z014/+wmMUCGcYSZcfwS8Hjel//89QA8niPxCu55a7yCe94ar+Cet8YruOet8QrueWu8gnvemv/+9QA8788lV19RioCG5KS+v3ygx3M0eX5vASAICNDWOQDC+Tl9ewX3nMD9FyBZIF9dWyA+R8P9GtxzAhRAJPUbUUGA2zk9ewX3nEALIBhf0hBo89mjX4lXcM8JlNA... | V _ { T } ( s ) \approx \mathcal { E } _ { F } + \phi + V _ { e x t } ( s ) - \frac { B } { s ( 1 + s / 2 R ) } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABgCAAAAABuqyI1AAAEZUlEQVR4nO2a3ZWrIBSF99w1DXBL8JbglEBKICU4JWgJpgQtQUuAEqQEKUFKOPdBnfxJYhwSZtbie8oSxb1B4HDIG+F38ye0gO8SDYQmGghNNBCaaCA00UBoooHQRAMPYQvtu8p33xXeQKnWcN+Vvs5A3TLO/Ff79tId2U5J310QB3FoooHQRAOhiQZCEw2EJhoITTTwCNbA+4bmdeG02k0/uFwst61Bkj1c7Wv3A7cwdWsc3m7xc8ZAUlZbHvs5BjYSDYTm1xsY0yp... | u _ { x } = - \frac { 1 } { \Omega _ { i } } \mathrm { d } _ { t } u _ { y } , |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABmUlEQVR4nO2WwXGDMBBFnzNpQC3YJagFtaAWaIGUgEsgJZAScAmmBCgBSvg52J4JSALZPiST8Z40O+xj/2pX0k48Z29Pxr8AL8B/BUwfxynyWcx3Nc3svAdznvs0FqZVyuaAEggItYFcQNU0HnBLqOszAZJUMPthCeWYDI8BZH+mULOiPwFogVvK57Ck2wA5KC+rcU+zHh8F1LC/rPyNdB9A5qqhme9HPqCAStJozFr9LxadBQcn4DjVZnsYolgDUo/f/H9Cgjw0Kkj... | Y _ { e } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAACf0lEQVR4nO2X0XWjMBBFX/ZsA0oJ2hJwCbgEbwm4hNkScAlyCXYJbAlQApQgSph8ADaRngiONx+bw3zZ0mgeVyONpBfF19qPL46/CWwCm8C3EPi51Nn/Qms+DNE3fwHkGfdcJDj1/emj6Kfd67EDmv3rsaEemjZvAOMXHNSLQVGPPwEhLksCAvBBk10s8vb2zwH5QwLeHLCIEH6zAMUjAmJ8voDgc8C9b7LAZb2AN6JVGsFnsXYJ2PUCYrxqGuEAHMK2FjFCUsAbUU0... | \Delta Q |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAAAgCAAAAAA5n5GYAAAHTklEQVR4nO1cy5GkuhI9/eI5oM3dzI4xQdcEtQmMCbQJlAmUCWACmIBMQKtZw/5tkAMTkW9RVJXoFlIKaurG3KizmaYj85B5lPqinjfCCy/8ufjvPx3AvwKNUOJ38NoOxe/g/RfhP899XdPZ576QCds0B7ybqZkeFooLAX2U4mmKH5NwN55bwL+tpY/iWKVo1cuHhbLCdJT3eYo/oLPtwXML+Pe19FEcqBSrjU0oEtNY/pioZdftCMkheJ7ihzvbLjyzgBNbOo6kWgj... | \cdots \rarr \hat { \tau } ^ { - 1 } \mathcal { M } \xrightarrow { f _ { - 1 } } \hat { \tau } ^ { - 1 } \mathcal { R } \xrightarrow { g _ { - 1 } } \hat { \tau } ^ { - 1 } \mathcal { E } \xrightarrow { h _ { - 1 } } M \xrightarrow { f _ { 0 } } R \xrightarrow { g _ { 0 } } E \xrightarrow { h _ { 0 } } \hat { \tau } \m... |
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