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"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"
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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 } } } .
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcElEQVR4nGP8z4AfMBGQHyYKWBgYGBgYZq3GlAlNQ1Jwbw+mAmMIxfifgYGB4d49TAVKSkgKKHEkkb7A4waG//////9fjkVr+f///////0/QCjr4gkhv7sESFy4uEJqQNyEmKLlgKoCG02Dw5mBQAADDTSdYv3T19QAAAABJRU5ErkJggg=="
|
\equiv
|
"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"
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C _ { a } ( t ) = \sum _ { k } ^ { \infin } c _ { a k } \exp ( - \nu _ { a k } t )
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnUlEQVR4nO2SQRHDIBBFfzo1gIVaoBLWQixgobWAhCCBSggSqgEJWQm/h2QawpD2kmPeZRn2zbD82Y74zeVP/xQWrsU5vxSAyNbgl+EWSfZvbliFiEiSD+4JRkiSUyWsQ+r8ttn/hV2qT74t5LkEFYSWIEEBeE0Cm1o5xOe9B5xRANoSzIBUZVTNAAgASIba4pI1kxtdEUZ3bvVBwgdAvJCzwwQ7ygAAAABJRU5ErkJggg=="
|
C _ { 0 }
|
"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"
|
- 0 . 2 5 \gamma \le \Delta \omega \le 0 . 2 5 \gamma
|
"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"
|
l = 2
|
"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"
|
\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 ( \check { e } + \overline { p } \right ) W - \overline { p } \zeta _ { t } } \end{array} \right \} ~ \mathrm { , }
|
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\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 } } \\ { \vdots } \\ { \rho _ { d d } } \end{array} \right ) .
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"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"
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\begin{array} { r l } { 0 } & { { } = \frac { \partial \tilde { H } } { \partial \kappa } } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeElEQVR4nGP8z4AfMBGQH1VArAIWFF4eAwPDbdVJuBV4MjAwMKigCDFiRNZbYfxuuI0qj2YFQ57QSVQnoJmQJ9Sg+g7NyP9I4BbD/3qzN/9RAIqCeqGJt/6jARQrhBiiVW+/xWPFGxUhj8VoJmCGAxoYDNE9PBQAAEh3ZjUlPa3DAAAAAElFTkSuQmCC"
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\vec { e }
|
"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"
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{ \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 } } }
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t _ { 0 } = 0 , ~ t _ { 1 } = \delta t , ~ \cdots , t _ { k } = k \delta t , ~ \cdots , ~ t _ { n } = n \delta t
|
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G ( s , t ) = \sum _ { x = 0 } s ^ { x } p ( x , t ) ,
|
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\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 } \mathrm { R e } \lambda _ { 0 } } { \mathrm { R e } \lambda _ { 0 } \mathrm { R e } \lambda _ { 1 } | \lambda _ { 0 } + \bar { \lambda } _ { 1 } | } } \end{array}
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"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"
|
T = \frac { 1 } { 4 \pi } ~ \frac { r _ { + } - r _ { - } } { r _ { + } ^ { 2 } - \S ^ { 2 } } ~ .
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApklEQVR4nO2SQRHCMBBFf3AQJBQJrYRYSK0EC0gACWChEloJRUIi4XFIpkAnUy7c4B0ymd03fzczMWib3Yf+bwmpN8dSuJ1qQueXwmBXEQBEbCDTzOUyRgByglUq/qRGOh3Mpev31SUHLyl4pXG2VWFq8xmkWE9wknR3q1c8+42VlDYElzdtt4WcUwAgOGvdGaIFwDsWxCtXz5r3EVOrNeb/q78kPAAlNnGAJsA4kwAAAABJRU5ErkJggg=="
|
1 / r
|
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"
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\frac { 2 } { \sin A } = \frac { 1 } { \sin C }
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA70lEQVR4nO2TQXXEIABEf/rWABawEAtYiIVUApGQlZCVECQkEoiEIoFImB4g26Tta+99nQsHhs8wQCN+1ssv83/EcCvDFlJoHRDcaK4OVXlmScrWZp31NDhyNY4XwzPD2hZ0Yv92iwUvScqGtwvhdgBoAbjvkwVYgzG2OxFKhNi5KEm567LUXwj2DmuaHQCvWzRgThlqhNFESZqYJM3+RKgR3PCYgJU0gB1PhNrCgpMkY7/0UFuooN1+vqyVEm4rVZUTl8YOQ/ux5kGfANJwZHAOWhclzfjso+S7Zfal2ub67FPYewukZCqz+f8XALwDiuXjfjbhikIAAAAASUVORK5CYII="
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R e
|
"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"
|
\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 }
|
"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"
|
E _ { \pm } \approx S _ { \pm } / [ 1 - i ( Y _ { \pm } + 2 Y _ { \mp } - \Delta _ { \pm } ) ]
|
"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"
|
\Omega \rarr \infin
|
"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"
|
p = p _ { e }
|
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAADqUlEQVR4nMVZ3ZmjIBQ92W8bcEqgBbYELcEpAUtwSjAlmBK0BClBSpASpIS7D0LUKOhMmOQ8KQPO4XJ/ziUXwnvx583///0E/kb/opbgfD3CAtNjW8AULWO3TzOPqH8yawMrKC5ET0RU8nmEVw2Ef0FkAj1yIqIRtRvp0DVp718R3Qc4ACSpFPZdIkUemB+ZAHdpRboRxT1Tf4cAYFrNBMzdC/UBgdhOWKY9DYKQEBHRkHOwNOCCsZ1w5IKIaCiR2pEOXXhJ3CModAcATMEZfn7yIGoiurUiAQAYpHZIJ8kLCUgXcIo5Ai4IzKd+AYHW2rudI/9OAD5LxPRB53opG+8+2BysieqEdpNSNm672vmg8bpCTAuUyUhEI6vnken7TZX7LHF5kGRqWTlFqJDvoTAC+lrNuT9DBwBfVYF6f8kjAUj1xSsAwK0dD0JoC9WCL0vPpSoBaMM+Gl9F2toRpX1KnjyRjnoM02PFfJO2YajuSURs/vYtFJmUqT3ENodHFW0JyDuBJ2FS1k6HCaWEMvuzNgRsNrsCR1n8CDW/1fYTjEnpsecmD0hwANoAQSFzAkk1Pw5eXbIhoAAJcy29323V6jU/ZyfvrK0FEiOh1Onde472NB7zgMzyBkDWff9T2lPvZrCdxPZogckFzE/873Y9mlFWO4MPeSFFT0Rkq9mY20TS508mJS8ew1Amk7Cf3u5VfGHd4rLC7Qe2Cligw69t1aGvV68PPiCx8hNXxYP97TeRmVWOXxHIINEquAhotcpzAObKP+vTbrltz9dI5TrVB4xVkhBERGKktAzMW2IUVdeJfDyeaREgMPTjpOg6okNp57Btz39OYFHFO5zc0rY9P0JQlt+ruOSntZFrz8/OD6lipRpbxdVZibBtz58hwJg0U1X0FfMdLNpzvxRfInyk33SBZXs+lhUbiDqEA+i4LygbG40nsGzPy5F4SdQnaXDJcWd0E1o3J+2/aM8NEq1ygIsDxXC4q6EL3HGtUTtzc3TDQCVGIuqq4JqorVkOyxWMiIjlRERVmP8vtudKp8AsbtTn7pq4V7U2XdxYCddg3JWET7DFPALr8PZSYOqMq4MIjmqBqf0xRZ0DAIcB1I6mWmHTHT+FdXteGCGTKZWaK7/uS4q4BB7ac61dESuqJON7mjj6TakHfkkR2QJ+yGz/uuNlvxn5JMXLCPgkxQst8F4C3nuXlxD4auGusTd4SRR8iGS+PH0HAa0Tb6/0sjzgw9t/O347gf8qiWXQi/4AqgAAAABJRU5ErkJggg=="
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F _ { i j } = { \frac { \partial f _ { i } } { \partial v _ { j } } } .
|
"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"
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\tau _ { m a x _ { 1 } } = 6 . 7
|
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"
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\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 r c t a n } \left ( \frac { \pi } { 2 } y _ { q } R \phi _ { H } \right ) } \end{array} \right .
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"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"
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X \sim { \mathcal { B } } e ( \alpha , \beta )
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"
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\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 } ^ { ( \lambda ) } ) } & { < ( 1 - \varepsilon ) ( 2 \sqrt { x t \lambda } - x \lambda ) ) \le \exp ( - h ( \varepsilon ) ( \sqrt { x t \lambda } - x \lambda ) ) . } \end{array}
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\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}
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"
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\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 } \big ) + \omega _ { 0 } ^ { 2 } + v _ { \| } ^ { 2 } k ^ { 2 } } , } \\ { G _ { j _ { \perp } j _ { \perp } } ^ { R } } & { = \frac { c _ { \phi } ^ { 2 } } { \tilde { \chi } } - i \omega \sigma . } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAAC5klEQVR4nO2Y25WbMBCGP+ekAW0JakEpQS6BLQGXwJaAS8AleEuAEqwSTAmoBOWBm5AA4yTO5pwwT9aFfz4No5HwwfG19u2L/e8AO8AOsAPsADvAPw5gKvvHHUaabtkaQbky/EsWaR6mF5LjBNYyd12pqtoaKZTUMhipq8oiZTLtf6A5BQydRSsoUzGOps1kcWnfr2/bNZ8DuEsAmZdloQGUR3AToIrbPQNE8SKAEiBvf+cA6bh+AclAIrwYPAvgVqwEsr6hAe59KwXRxSMD9FbNpwFk4zWg8Bo9WgN4ub6u+VwhElqPSagB6q7xCfRJKJKuY5M9FYFocr/qBpDDQAGIl0Rg0Qww7n4NWLPtyd8AML0voALUMCKH4ZcDCO3BjKYYs+N1ABfGvDMMwQAQMdNzAFteYGVA5f0Dj+cvaMYAl/e3w9uPw9tpfSPZD6DoYR44X9OMd9ZgSTO/c5xzbbkbKn4JfulxGaC2aX6f4hRnlERhPmv4rEvBgl3OkA3HX3guP6O5tMIcfxWh3YR/ELWrDCKgo4dmNZeLVI4f5KndA/8bAeY0V6qkWgxBowL/cwCpm7FYc6UOaBY2sz0adBF1e3MtbS3YoLkCoGB+gx0N6hrP9WpBvQQQa64ALO2Ak0GFqTwzV8Vds/OWcyB8sZ3l/qXEf+nTS9CCcKS5AlACRK7K6YWvs+vE5Y35TTCnOSlEdY0ag2QBGcbMvkM+RNeeaU8DDVD1x5F/ND3U9Gky78rpXMqk2VrS332dc87lwzUoxdt4ibfMR5ohgBji0wi8S29nV3+Ga+QQ6RvjyN338kgzOAuwxy7B7dFCFhR5ewJ17lvGjDtPZWfsR1scTqCyzZpBBEDdnHPuKudeQEZoY64lQHJvv9C8NH2kOQEok14WQF5D/y4+9bxkb+kEoJvtmsHXsa2MqWsQSmlNZIeoJ8vH3/XFVKBUMn1yXfMw9wH+N+3f/otmB9gBdoAdYAfYAf4LgJ8f3ukYvCoiHQAAAABJRU5ErkJggg=="
|
5 { ~ } 2 0 5
|
"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"
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m ^ { 4 } \int D [ C ] ~ | \Psi [ C ] | ^ { 2 } = 1 .
|
"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"
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\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 } { 2 \pi } \sum _ { j = 1 } ^ { N _ { v } } \kappa _ { j } \hat { z } \times \frac { \vec { r } _ { i } - \vec { 0 } } { \left | \vec { r } _ { i } - \vec { 0 } \right | ^ { 2 } } \right ) } \end{array}
|
"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"
|
\Im \mathrm { E }
|
"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"
|
\mu = 1
|
"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"
|
h _ { j }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABGUlEQVR4nG2SUXHDMBBEXzIhIAoqBFFoIagQQiGFYAoxhBiCDMGGYEGIIFw/YisbW/d1M9q5fbe6k7HWMJMLoeOzLrX7BSDs3jnXzmzxDQEm5eBpu1LBAmH/bmcZNsL3wUEFcwtBLXwDQRmaCMrQRFCGNsKpRs1X5ukY5uJc9A3ICYIlH26pc9wbkB1cbyGZmSVIR0GEENY1IR4FDvwWg39b12ZC574Fdc0R4hZDloWrYIYo4qNAc/yITFPYysOyZ/gYkAk1ynNj6iA41ULPUR22HBThsfZXZVCEEa5A7tUiwkNifJpZF9VCENL6Uz6JxVwIbnVw4IE///K8HBCCz0DfT4ig6L0+fnrKmNaoXjdZ+iAHXYYcalL/cYyiW1tYmaQAAAAASUVORK5CYII="
|
h
|
"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"
|
\frac { 2 } { 3 } = 6 : x
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA/klEQVR4nO2U4Y2DMAyFv55ugayQFbICNwI3QlbIjQAjNCOUEZoRyAhkBDyC7weoAgFVpf6rsBTJTuwnv2crF+U9+3qz/gQ4AQD4fi0tGsED8IsxzfJJD60ZH+7gVf2gqqrXe7/KWlGQVBZR3bYyu50BkwCwlTukkLumdU7sHNpGongLIAATeKJI2KcwOtWhvq0aHEMYVDWE6ajqqFr1+xRiBbYYaJ+omTsgHVAAhIpZbkAiE4W6A/FkRwaoFhWLDjwpJRdLnJUsf9GHSRBHKcbxk/EirV3JuJlef71txqjaP3jfh1X6zh7U4/bu2HZW2eQnIm7scn6qJ8BnAPwD6E8oN1LaE+IAAAAASUVORK5CYII="
|
\alpha _ { i } > 0 . 5
|
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAHjUlEQVR4nO2c7ZmqOhSFl/c5DeSWEEvIlBBKwBKwBCgBSiAlmBJICaYEU8JJCbk/+BARAwKCzvX9MR9I4sZFVvYOmdk5fHln/tk6gC9+vgK9OV+B3pxbgXQQCAAIgmSTaDy8cWgv5c/Nb1aBAYDaJBYvbxzaS/kz8LrU1oASzusDwqTLNvjixS+QPNryhwyMEwYoo86LNvgygFcgmcQMXFutldUaABCe6ZIN3g6rCQOsBh8+d8m2D/EKZM4EAAMHjNYAGPN/2k83uMWKuHNARk80XwId8ALQAR4U8L4Qh9pOwitQKxZKw0dnWSEuTzV42FHQlYNIrK2Qn/VDHEoSBtFS2CUCAXCkd5d62r+XQuuHOLdQzQK7VBKQqfzuGEkTs1D3S7BBiHMFCi/5QkmAySJyfzQix2W6X4ItQpwrEO2JeBrC9jpFpPRS7zCbLUIcOQcZMaraFNVgT6tGAICqZrXWP9QE7X2dQ9zbysoYQxiwTYgjR1CWjcoEGFFZpmhVBxCGLBOEArCA2gtfU237qwe29eKOTfb74OfHbBTiOIGshPfTrWHxCeBRLVCYcuQxBXA4QhNv3q3wwCyZWSpLnITe27MriM42CnGcQMKOEwi49QCtwhAALBVHnRJ4ruPhSwRbTkI64DkBj2A2CnGkQAymGcbBriG4P5W3g01IORuR/GKU3O+818FG9L46R5sCqBdvNghxVJIgaXSArA04ZM0LPXNme5hIFVdnKGFoBD0iI/f3vjZChxQAqmcdJauGOEogEYXUiLRyYH/dTK8jyCasyv3MgZ4TlfsXf3Q43PvaCJQxqzKuDUIcY3HGhAgxchaiQF1YZ82TIHo6EyLauY5pZNSmbtePXXRx+DlMldkoHdONQhwjUBYB0fMCmSxq4uYAS68XqIKsTogOPz8aABgeLJiM8cVXocpPXh+iFBuFOMLirLwANJRG9d8nBrDX/JM1Ah3JTXF79TebyFPTVSytyAEw2p9BaDy9Ku6nO68zTwmuwQCILI6BFUNsM0IgERIAobymCW0SrYB/eXOZpBZIqrS/bLABLi1B46y0vjAzfTeiWvrqnykqNbhQihVVYGuF2GaMQCcAaKcJbe7uP65KgRIe350MADiYot0Pz8rzI9G7nCQ46zk6g6Lzu28xUROmaKT3PGXAeiHe4NoUQOyccwBvjp1Y+T0GUjcCXraNce5/PS7fwqU0d845d6ljiMnf+7OLupu+0F5AAV6+mXPOnav3ylFFMRRiq+1SDCcJosoqx6YJ5cqUEXH/bWUFKUeWNLUxVM6Z0uz+9ORBN6tgq+oninAAsEmIgwIpXX2ONISRI3osLSPBA4MTNizP0Kz8bpoasLhftk98U/jLUXVmHdZlwfohDgokw9qkR5ZCDFBQ8kGGAFnp0ehy3QRDiu4NYO3GjxquOUG5PrJ+iEMCGdHUzSGFGvFwlwIWR/6o3NbVRTdLw5o2ySHp3ovkBRe/6+BZTmvunevq1SohthnK4jJ2NdgwQzYcDgW0Md1cqaZJcnU9kuRpsMtF6dYKngmkuR01yFbLGQMC3TxJjTL0ZtodmLYiHqqtraxGUBa+sIjo49Gt00NT9SyxtcpK/wOxiozcvtWAxWXtGowyoCeL6UJQJ2o9sMovMlt+V3rzB9oP0bW1ZYY9vKCxiOTYc2+b5HB74Jgcbz9iv0BK3NRxBBDDj6YY8HickQgSgBBlNi6zYrFdJ4tjYCUAiISdZkcZ8XszVYef7lYCic7DP5/FZQmAf1GU9qsCALA/fMgjCHyulZIsYBoFAgGi2ROGszoacaIItI7jBe6iuqxoofhp1zmUHjsW5xMovhnXfOyO44j5CjeSRgYRBS66Z51oOiMt/hkM0lQpxPef7BT0/afSc/kRJ7fvNnvr7z1DCU+1d2nZvEho0TMYjTAzckRDmj1jC2BC2ESkQ5NZN7v6LX+jOtLin6Lnnp+BYfZAi6ezwReMoG0YZ/HPoBbdcaBAkympxi8S6O7QzBnOeJ9EPIvmSblNuvkb6HHu+VssDobBHncjyrTxPS4qkAHGLDXf8WtGkGH2wIslZw3lWwUaJFCUmjTEwZwhjnGqwmhvKJ4e179FoKkW72HWblGDAlaFMDKGNSSLTETZiJXMO36LQFMt3tNjPKcHmVN7zMs1YZKSRBGK6BirThY3nGT+ljloqsU/hqVzFI4pEk7qHT+WaA5E9HBrmjrYQ+39/znlQ0dQ1+Ex1eJfh5I5AF2qHOYAUHTy9jELXZ8pUNfhUzPV4rvQmAKgkxavb9sm5Z7U+Pp1Wl3V2aCyytaZKdyEll7c3/CvcyecnHMpXE6cy3HJO43+bncdF8TOuRy5c+7CpvfzmXNQ1+Ex2eJfhgEHYEABZDN89zMtruvwmGzxL8QAGYMF9Jx14dsRRDinAMBfuldyEp3QKocv/0NZdf1v8PdEVygkBKGQUHJW4rKU567LUg7/QiIgd45XU+dkPtTilnL4F5KHlAKFmvm470MFWsrhXwlvfZ3OZ2Zxyzn82/OpAkVqh4hxuVO/Wx/sPvU/zytKAcx1+PfnYwX6v/ChFvf/4SvQm/MV6M35CvTm/Ad3IkhwQERNqgAAAABJRU5ErkJggg=="
|
\begin{array} { r } { \left \| \widetilde { \Lambda } ^ { - 1 } \widetilde { V } ^ { * } \omega ^ { ( - ) } \right \| _ { w ^ { k - 1 } } = \left \| \beta ^ { ( - ) } \right \| _ { w ^ { k - 1 } } . } \end{array}
|
"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"
|
( 9 + u _ { 0 } ^ { 3 } ) + ( 6 + u _ { 1 } ^ { 3 } ) \alpha + ( 3 + u _ { 2 } ^ { 3 } ) \alpha ^ { 2 } = 0
|
"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"
|
\left ( S ( | \mathbf { k } _ { 1 } + \mathbf { k } _ { 2 } | ) + S ( | \mathbf { k } _ { 1 } + \mathbf { k } _ { 3 } | ) + S ( | \mathbf { k } _ { 2 } + \mathbf { k } _ { 3 } | ) \right ) < 2
|
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"
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( 3 ) y = \frac { 1 } { 4 }
|
"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"
|
\Delta n ^ { a }
|
"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"
|
\Psi ( t )
|
"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"
|
2 ( 1 - C ) T D
|
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAADUklEQVR4nO2Y4ZGsKBSFT09tAlRtBGwIvBCYEOwQnBAwBDqCVxqChiAhSAgSgoRw9geg9o52z6up2pkfc3504dX+OFyvgF6I762XrzbwTD8GP6tsMIavtfFOPuZGNtiIL7NyLPmWGxcCQKN1Po43yCCr5LexAEInDNBAVfBOCFR/1FG8QcHXcof5GGXwNjVIclZcNWpyljNJzqIlyVEZkoZcDLlU/DONmqRpN8xHKckDXwDg9p/xSNkBgGsHAIBxDgDgAQgNAN5haG4Hoz5Jhx3citkoJ5hMqbotg2K6H/GkZ5K0aRTjOImFhqSq7USSU0VS9u9HXU3vQqMmSVNvmEI5xSTKKEmSIDlhD5TG6Ikk+5nGkBxHWk1DcmlraUiqmSSW9wb3tXJvUG+YQjnFZAomMt1ip1IygwcAaa25AoDvGuQ0G9EACLFuZx/QSQl4KXaTU0w/svxhw2XpFVMo55hMkR5I00wUABAbf7umMtEBEUFaa1XusB1KjwoYFICg0L3ms+H1CsRLBLRb+9pwQHT1iimUB5hEkQEA/splC1xbWV3qv3+HxkJ1QXcCCOggO0gp+gHAABGEhDMAvBowlVzVHeCUBPS1GEw4FYbQABiFWzGZ8gCTKaE8JFqTnJErMlXOQYFx4TLOJDGS1NZsZ6wma0tyLIR73BHlASZRtC41mG9/xGDWkjlaWQSEluXAY9jORIU46P2197hTyjPMbrOgzPUWLOADQsRTeWHg9oGbUPvDgnvCe4ZJBlO2bKUMEIer757sHLQHXIW6Q4B7Sxd3afFyGjmUcI945xiXsiiLwZzwpomAsCJYdcTbkQPgBWrXCLggAWBQoQKAoFFCTRPxkHeOCclgShzJVpJs27kWE0kzHpX2XZnLhQvJhaScSHJZFkmSi1hyaMWd804xi1hIUvTMD9oMsjck64qcTfvMINv1yWttafQkafocWnGPeGcY05PkgrkYpOrTotYb1nZWzx3WZc1NO460RSGntoQK7jHvGDOl6/u04F0I4BZtaKQO8XBeOFK8m4b+qcoOsuiDuEeYN1UDecMaf80fdfa/Kb6mBeYFAIRtvtTMkW45/WmirvDtXprKS8Elf1mI3+ytafVz+fn08Un9GPysvr3BfwEbA/Hpp0WjtwAAAABJRU5ErkJggg=="
|
\left ( g _ { x } ^ { \mathrm { R A N S } } ( k , y ) , g _ { x } ^ { \mathrm { D N S } } ( k , y ) \right )
|
"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"
|
W = - x + 4 8
|
"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"
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( \textbf { L } \textbf { K } _ { q q } \textbf { L } ^ { T } + \boldsymbol { \Lambda } _ { x x } ) \textbf { w } _ { \mathrm { ~ e ~ x ~ t ~ } } = \textbf { y } _ { x }
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"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"
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[ 2 8 . 5 2 ] = 4 .
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"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"
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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 ~ ,
|
"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"
|
Y _ { p }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4UlEQVR4nKWTXXXEIBBGb3rWAJWAhVjAQi3UQjVUQpHQSCgSFglBwkbC1weyOZBA8rDzApy5Z36+GQZxbm8X/mvgBoBPR49zBZAiAbA2+5YIkAG02i8wPx+PH8Nnvm7Ao4Al3Y3bAaoBfdl8DpsOA5SaLO86b9OMqQt4AGwfmCi6bNUwlLU0IoTqdTu4gq+AKoWDlKjbPQo1j5VgDSXnK0BmBSVJLR3GfHx3athsPB/Ws8H+Tk5Z6z4Q7DkQvamLnNmtHH+SpHUWSwyA/zAAcUlhAltEcK0k+53s2Ot/8xL4B3qKDRWea/7cAAAAAElFTkSuQmCC"
|
\textrm { E }
|
"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"
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"
|
\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 } \right ) _ { i - s , j } + \left ( J \frac { \partial \xi _ { 1 } } { \partial t } \right ) _ { i - s + m , j } \right ) , } \\ & { \left ( \widetilde { J \frac { \partial \xi _ { 2 } } { \partial t } } \right ) _ { i , j + \frac { 1 } { 2 } } ^ \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 _ { 2 } } { \partial t } \right ) _ { i , j - s } + \left ( J \frac { \partial \xi _ { 2 } } { \partial t } \right ) _ { i , j - s + m } \right ) , } \\ & { \left ( \widetilde { J \frac { \partial \xi _ { 1 } } { \partial x _ { k } } } \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 x _ { k } } \right ) _ { i - s , j } + \left ( J \frac { \partial \xi _ { 1 } } { \partial x _ { k } } \right ) _ { i - s + m , j } \right ) , } \\ & { \left ( \widetilde { J \frac { \partial \xi _ { 2 } } { \partial x _ { k } } } \right ) _ { i , j + \frac { 1 } { 2 } } ^ { \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 _ { 2 } } { \partial x _ { k } } \right ) _ { i , j - s } + \left ( J \frac { \partial \xi _ { 2 } } { \partial x _ { k } } \right ) _ { i , j - s + m } \right ) , } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA9klEQVR4nNWTUXHDMAyGv+5GwBRMQYPQQTCFDoIHIRRKYYXgQPAgpBBcCP8eHKeJL13fdje9yCd9PumX7IP43V6e5P8CeF2dxzFYPV0vN4Y5qmbpCFGSVOIq0XwNRknKBuC2QPKnCCRJ2WFDSl9bwJJUb2XnWm5TQioQpOysrPO6y/wG4/YestvqXNAIuZipszsQcAr4x4AjRCB3wNLD9QZjhEs/60aewZcMfRMLECBJHqYHgMOqlGEfyHCuzvaBOPfvex0NsHl9EU57wATHVopJmpaFzXMYoT4mM/gcP976OVSR8zwglL7EqnnDrx/E4T/8rKfAD+oSv+QgbTAzAAAAAElFTkSuQmCC"
|
\kappa
|
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LCSqL6gJwEBXZKNw4POkWlV/PCjZvA/Cz5XipjeQ7LIp7yVeCzho2y+yLxDnaPQfeheqvh1bsT4J5GxDoGqBIGWyRVKbmqPi2x7Vgc/sWGb8Ua1rkm0cXc7myL8Wei1l3MN77iwVTu5Vtk+ztouSirOMTDkUWuLS3MkPlpdx8xeyVdKGgff7pV0J8aWUP4zPEkGVnPGJRrPTfa8SL7J6xew77fcz3zqM3UAbt9xWgPkcI+tLKHsfvZAb9bL6PafpSPxfL9WnwGw3g4f77eXxrH3tuPBk38B9+N/7G/xn0DxfwzwD+4/gftiqNwiXX9OAAAAAASUVORK5CYII="
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\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 _ { n m p q } ( \omega , M , \Omega , \Theta ) , } \end{array}
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"
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\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 _ { 0 } ) \right ) = 1 . } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAg0lEQVR4nO2SSw2AMBBEB4IBLNRCLdQCGpBAJYCFSqASWAu1sBZWQrm05dKUCxeSzmkz87KfZIeItsaXvAOfA+ws1tACjMBIrUVM2s54xUelLjuEBQyigOBwMPk8rgDa02KV8aI9hM2skz9lYAfACuCUsKqcuTmaNRQJA5S8ob/cf4Ab85pBEqI3NCMAAAAASUVORK5CYII="
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v _ { \mathrm { o u t } }
|
"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"
|
2 0 0 0
|
"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"
|
\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+QldhSxgrgN9oAG6AMGK9G5vi9mubdXJL9CzFyjEBjaOzYM/WAd3hPB/0EtsY2GSEb7hbAWYCgAcA6gFYVwHgAn5XI9jP9AcAZ8VYJvIG3CvAAAAAASUVORK5CYII="
|
\mathrm { m }
|
"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"
|
\Gamma _ { a } = - 3 0 . 4 5 9 6 , \Gamma _ { b } = 3 . 8 4 8 7
|
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"
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\Rarr a _ { n } = n ^ { 2 } + 2 8 , n \in N ^ { \ast }
|
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|
b = \frac { 1 7 } { 8 }
|
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\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 }
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"
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\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 } )
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"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"
|
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/+pp4XzHj01C+OvVIAAAAASUVORK5CYII="
|
t
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nLWSW3HEMAxFTzolYAqm4EJwIYSCKSyFLYQEwobCQnAgOBASCLcf/bGcOp1Op/qTdEa6egzi2l5+yH8DvA3DegU8VzjqgBorjlT7J0B7Nu7wD1P8Fng13jbjkrNErTj76eHCbqaogeKzFLl3gThJCsQekL2kAjcDVFMsCVgg9ESORVLA2803t8hthxa4QbkEHMEGZFc9H6R21wYfYW8qGKBAkjSNvRYLROAZey0iXlJxe6/CV4EPc3ADBBzM672Omac93rd0bA/XBWBZo1F4As7296/+BFHikkG4FOP2AAAAAElFTkSuQmCC"
|
i
|
"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"
|
E = - ( \nabla ^ { a } \nabla _ { a } + E ) ~ , \qquad \nabla _ { a } = \partial _ { a } + \omega _ { a } ~ ,
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3UlEQVR4nLWTURXDIAxFb3dmAAtMAhawMAtYwMIs1AKT0ElgElYJrYTsoystg9Gvva+Q3EMISTqhrdNB/Bg4Z6fHOGK0yXySFJxaXNpvTklA1IALMVjAV4ABVBQREQvEBOwf6ZbkPXAv3xCtnT6mBlum2MnCtZpiJ10rc7sVQitFD7pSZtKkYWgBHpw0gABGGkBUmKkBFPEvYDKolzSA69qwH4Av4xnQZx9QAlGlQXkNNcBsTXZUgBusBcRdD7t1cebLrD7jPD9Binb7bB62304D88wAlazu/7t5CLwB1zEtVfVG3zMAAAAASUVORK5CYII="
|
2
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"
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\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 { r e c } } ^ { \top } \textbf { 1 } ) ^ { 2 } - ( \textbf { w } _ { \mathrm { r e c } } ^ { 2 } ) ^ { \top } \textbf { 1 } } \sum _ { i } ^ { N } w _ { \mathrm { i , ~ r e c } } ( X _ { \mathrm { i , ~ r e c } } - \mu _ { \mathrm { w k d e } } ) ^ { T } ( X _ { \mathrm { i , ~ r e c } } - \mu _ { \mathrm { w k d e } } ) , } \\ & { : = \frac { 1 } { 1 - ( \textbf { w } _ { \mathrm { r e c } } ^ { 2 } ) ^ { \top } \textbf { 1 } } \sum _ { i } ^ { N } w _ { \mathrm { i , ~ r e c } } ( X _ { \mathrm { i , ~ r e c } } - \mu _ { \mathrm { w k d e } } ) ^ { T } ( X _ { \mathrm { i , ~ r e c } } - \mu _ { \mathrm { w k d e } } ) , } \end{array}
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"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"
|
F _ { A }
|
"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"
|
v = - ~ \frac { K e ^ { 2 \lambda t } } { \sqrt { 4 + K ^ { 2 } e ^ { 4 \lambda t } } } ~ ,
|
"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"
|
{ \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 ,
|
"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"
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1 3 4
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"
|
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+msaYIoxt3KZPPsRzdN0mf1LoIz17BCCszbBEC591ttRHQkohvy5BTVYwG9Q4KIfVIFdKkiqsk4Q2j6OZHfS+apqAHyTpkPp6bdvj/HwzSXi35ocJPzyprrX+PyUEAAAAAElFTkSuQmCC"
|
1 5
|
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAACvElEQVR4nO2Y0XGjMBCGv9xcA7oS1IJaUAtcCaQErgSnBFyCXQKUYEqAElAJugecsCsEAU9yMzfjfYrEej/tL2kl5SXyvfbjm+M/AU/AE/AvAD8zfcEcDBLaLgzg8G7505ha45d9WzaenAhXNsnnl6TYnc8dHCiA4e0cjLceaMM1AEWts5C0vrL5rD7MUar2xWLquVlbwN2khwhWF0CxCejhItsVFKPSywFOds3BDJhqjJuAE1Y2S5KE7oQiC8DWY4zbAEel4xcLlx5AzPQc7N65BehB6HsCMy6dSlRei2BbAKXQzUCdcbrpCIcASiGPnpAPM0qjI4CbVKghn0CMHsRAjtSiK3betG9gyqybU61jgOLj76FFtBbWPQLoBuYhX0mHumIHAFecVQC/7juXo0MAoUkHxq77zp/2A7pBAFq2FXokA6VQUEG0DQq+H3BOFGJNofAY4Bq2lqW0FtwDErVSoU/iy6Hsz4D8vv0qQEahYW0klCLXvYCWQq4axzSZGccBKtmxs5oaXTpvK24xetSpt7dcX0AfXobk/L9bkx5zOyW6aoWmaWyXfuEVLuv3otUMxsXh0gD0C8dy4bgPUKcKTeeW/zz+TkCxuP/E3pDeisYic4qmwRpQ15rpl7kJvRnACdfaJLfGGKO6/A5D6DgHwJQ4Y+fdcn4143JCu98D4LzHd2HorsGUp8z6mFmV/iBWc0ahGGMcK7X3TplbmM7ASP9hLsfhF5eVSvqn66wBnPVrpTBHTeyEyX+YMijy16O77QGkj4K533oPYCu1I0Y51TsA6aPg3SrqGONYW4BCuFRyf+wArClk3/OaELZ6n+RCVrsdAP0o+LBebJcJcX8BNirhzwG9y2yfGGOjqsdpWoG2rEp96T72ZJU26kokNoWasccBS+L0RrV6RaTv5C+3//+fIU/AE/AEwF8bffPKSCEJLwAAAABJRU5ErkJggg=="
|
1 / Q
|
"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"
|
\lambda _ { 2 } | _ { \mathbf { F } _ { 1 } } = - v _ { T }
|
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAHCElEQVR4nO1d65mjOgw9c7/bgKcEtgRPCU4JTAmkBFMClAAlQAlQApQwlIBL0P6AJGAe4WEImeX8yQ5JLMXHEpIlsx+EE++M/16twIl1OAl8c/y/oyyV54XDdxT4IiVyF3kkNhXxwI4EfioAtnYxTatX75VKGAaP/NTMSGFRvY7Mzo4ElvDdzsXUx15rdVgJ02DCNzNQkQPI1UEIBGTv3CV7qjCkxDHhAcBl1JzPIOZFUIWZcU4Cd0Xsfn8qAHD//MmNjLirC/23UIQ5PMuHYpLdr8UFYge4hmBs7MuTcRK4GZhQYRFLpr6K6HZNOl9F6sCNA8uyjEg5CdwMTCAMIwZmN2JS5rixytMfM+aH8x64MXhFVON25wChGxjj7yRwF6jHP5kD3za4E3QSuDNUCmVy6+IkcGf4toXQ4HgngfsiTD0HsXr+wanYlUCDei/HC5VIU/cawIYytFUK7ExgCKPe47hKqGqZaGvlern4AYcl4bvpt6mFRLtBWADARNa8KPfUYEgJw8gEAxNZ/RIIwBJERDZYQERUCsBKJg8nRqdoyvRlouy5ak9XYQQNAjMhmJExj4oyuc1jNmf9jBM4wYWG315f3um5husyPOKHuEluBiZu88jNJYLPCQzdqFeclcRXY2oAANiupd1fgqcE5tehDhIWhK8PSf55PCXQhexcq4uRwnJ393mm6qC/Bj0Ehl8fH58uPj8KAGl6d9zdYqStdjJB83XQX4MOgepyRUQJvhSzAMS4O9AijlUM4OqruhjJEZvXqHAvl1y57rVh3l3RJ2p06oHfKU8YOHdzDgA57nXHbjGSIVeN+by0R7KdRRrtUwf9PdDSCglkdfYhiYiARmrmAWXCG0lh6139lIWckuS0EvmkGi6BKIlINnXriP53MJ4H6hYYog46G6Z3h+MijIeLkSPnZNz2neuZcd7qoI/4t0e01m33MM18VYLa0G0jCXPVGIVGYKrqPttC9RDInNCXi3LQvD0XE8do1UE7ojWPLe/dr2pVX3RDyEYS5qoxCp3AW995jJ6O6eXFSK+db8y/j/WI1tKbx7t8VatwQ7eNJMxVYxSdIKZmPu5bAr4dF2EwONZIELN666hH9GC/ubEdne0lrEeHwOo2E99ugVbxsJ0wzZgbNzZG8/ZC0fyKySNAHdEnamh5oF2xkLtWTQ2/dVT1FSMVWJNALT4yduBoizrouyK/6BvQ2qxzOESBlbA6QQhgExGRAyAgIgnIxK7DeQlnejRcegLg8qd9tZVGRIiqF1m9lQyLniAv8Zwtq34boPS4xSxd61YaYbczt249sBQARPYDVDNdMlZ/sacYaUOjYwQRs7wkcSouHmjVA03WQRmg/9ajo+T2D1HCtClqESihzXk3R/xJSqIAvP4zqIbrK0b+TMvVq29VyTl5qKysodCzry6sg5L3bgQ6KImIArDW5XYin2g2MzB94rEKHGvIa4kZOyP2jWzclwYRbdtSsT2B916FFf760dlQb34lmt5zKvLhpSovxCm/5wCBuPQXja4qmR4VqluMynHkcsK8atW9V+Hz8+KGC0trj86GOmwv5gXwLTo5WEZEEbOay8nrtTQx3X8SkX3bY9VEHsICI2mzkohIMsywo4A9PrzCX5dWOxQU0P+e3tSUCTApOXPajPV6ynkby6VT8Z2gDmtrHIJAz6piKwdg08OyrBUCrPDXSStq8cDaUzuvK+0n8aIt7xx6GHwIAqm0YBNJFughwhgEmhO9hMCylmY1KIvAxtKIDvbtyqQEmn84BoFLqlUJxDJhXYct4d3fZFxfQ/PKSdtCfYPv9USYDgaLQ3haKOtD727xFHSPWXPE9b6560vJAHfGJE1cNkZQcuirfEcL1H54OwZzwDyaBd7Ot2eYe8dhJ6i8cSaqjvGglWkdxwLVJRfR6/ajB4tDWFQo66t4T0PnmLUAcgG4vmXHMVDE3UbAQexIYPGdSw+AukZPP7sFxtzSk0LZAixw2D6Kert+xlraj8D4yhIBAP7xWjs3qFYNVvMx2Nmw6NGtexGornH1G1QcLutWmy9y4udSpH4G21W+yfjKsMMextQ770o0F3fzbr9hEONpewYDWFit6oZI0/NAKa12NjX65WPkgUNrZjMCJx8EXHhqj6x2WWUGgQHXtlsyvUbUwjGi0N0fzT257ShwqiZGluSzMjte5I3njk7eye5z2FpnwyycDzlYempPoBmMTT243XvMOl3zCNqpdr8R9j5ibQ63XgWiOQe3F3Q2HMOFjiAFZmU+BwHzrvd4enqbaJ/DLmI54EFzhWfe+ePF/29EWJ9v2vmxvUZwTTMjmeNlsDJ+O5EwMjuvJvCtcc1n9CRsNMoZxKxAYA90m8zBha2y49MCV0Gtt8CVQ5wEvjlOF/rmOAl8c5wEvjn+AsJ11F0jCwzUAAAAAElFTkSuQmCC"
|
g ( x ) = \frac { 1 } { 2 } \left [ \ln x - \frac { 1 } { 1 - x } - \frac { \ln x } { ( 1 - x ) ^ { 2 } } \right ] .
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"
|
W _ { 2 } = 9 ( 2 0 - x ) - [ 1 2 + 3 ( 2 0 - x ) ^ { . } ] = 1 0 8 - 6 x
|
"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"
|
\langle \psi _ { \mathrm { t h } } ( t ) \psi _ { \mathrm { t h } } ( t ^ { \prime } ) \rangle = k _ { B } T K ( | t - t ^ { \prime } | )
|
"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"
|
u _ { 2 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJUlEQVR4nLWTXZWDMBBGb3tqIBZiIRZSCVRCKoGVQCVQCWshSAAJICGRMPsA+WHhbJ92XshM7pnvSyZchL/j+mH/M3BbP19TrngApocGiONl9bAsDC9oLcoAEIdnxDTGIil6sFIiKONFRIqHCUyRjnc3WoDSQYPPiddpnYG5hjsb0jJLDGBT+0f06nAPxcJ0b7rqIg4WejtWh8kekoXgmlDvZw+bheX+VopdbKCDVuTbAPsOCdDgpW2ChvYMmIFgO5Ee9BnQg9ZeRIKC/gRwYFbtFswJUAYxU88kATOoVHHgDkAPTap4YC7A9fAWrIH374vSUAbQV3qbxLwrye6k120Q1WvDwSsnN6YY36AGzDqlZRpgeTZbSpvZVWXcp3L5/3/zI/ADEYm4bW8udE4AAAAASUVORK5CYII="
|
K
|
"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"
|
\hat { x } _ { 0 } \sim \hat { p } ( u _ { 0 } )
|
"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"
|
{ \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 } )
|
"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"
|
1 . 5 4
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABBklEQVR4nN2TQW3EMBBF365KwBRMwRRMIRRCwYHQhZBC2ECIIcQQEggNhN+DYyeWVt1r1bnE4xm/mf+l3MTvcX9T/xMNH/mTBoD5UhjScaEjFmdZVGN2uEWS6giHZT8Bk6F3zQ7RO1KtP0LEt0tGx0lIbFibz2Wo/57xJekV6POxEnZjKuHRk3A0hDlIJVk/JVhzUhrCUzLHZS/NWLUjkgfHBjB1UDScKnYDlg3Yk+eywr24ABg2YAi8IETHMSJ6A7G6UBpSJuzssWsARZnLklBYJckzqlER8wPDZCyvCOGZ7abLrlUXDkL82gCwhAzEciEEADNKCkHS6A1g/WH17V/8OG8bfgD8V+D4gFNxPAAAAABJRU5ErkJggg=="
|
M
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwElEQVR4nO1SSxXCMBCc8jBQC7FQC2sBJNTCVkKQUAsgoZWQSEgkJBKGQ+mfV7jDnrKTyexk3hbEcZ0+3P8K4bw4x1vOxpa5yTB2QjmVk0BKlSRQYUd0JqQqkVSYjg7QPaHuSFJRkaE0YYRnD74FgAwBTFo4mxSGNwYdV4V1G7ABuMmhhxwH5VFtk1oLviy4dj8iNh6IcRjxKPcKBkLq0IfLm18ASieKRCYJM6EYt7rp69zfcc3qvV04Lf5r/x3hCahW96ip6sMsAAAAAElFTkSuQmCC"
|
x
|
"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"
|
\mathbf x ^ { * } \rarr \mathbf x ^ { * } + \varepsilon \hat { \mathbf x } _ { 0 } ^ { \prime }
|
"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"
|
\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 } { E _ { 4 } } \\ { H _ { 4 } } \end{array} \right ]
|
"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"
|
\tau = 5
|
"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"
|
\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+R8P9GtxzAhRAJPUbUUGA2zk9ewX3nEALIBhf0hBo89mjX4lXcM8JlNAUHGdtMb2Ce06hRLdMUTFfH4NXcM8J1ABTXz8A5hXc8y60tb5CudUg8Tld+0CP53hKqMvu9nYDSYL5w1+JV3DP8Sh7zLzNHy0ifs4CxSu45wxqAJfxZchPMt/wkUzPGVxy0AQAULbISyCMz7LgXsE9x/MFsGx4Vf+UStz+YLwXxXM4RpiHZkD7e1LfXsE9h1PDiGMyoCzP6dsruOdwbHFMtOf07RXcczimBT8Tr+CewymNQD1ynJWK4hXcczy1oc53ANQruOdNMO11ewMQntS5V3DP0eTQluDtpQaCk3KtvIJ7jqZ9oFuVAADq67+lFvY5GB/J9BxKXd5KAAgYAJR1DSCIotP6f4mCt61jx1D+lYPorfh/FXH9r/6aBJSyM4c7LFEuX5L+ZtCrfH2Z+67k8e26Q/rne3/MahzcyHV3qwewQ4pOjhfxQVCh02TJiamEACB7LmICACTOmu6NKg0BgCWVcNJE4M7PQ8TuFpbJeJcuTxhj8lYntrfRI9gsRSdniPhdwfhvBgCJ+iHFsuCaQP+OhQjRprGpJACQdv9XnRbtbvMQtknRyUkifk9UNQkAZEJ7w2k4hBCiWXGMYPvFnwFKR00IoHiqgSLLlg96RUtbpOjkLBG/J6qCR8bUVKDN0vejySrLQoVFE7REOhpwIYQQ4bNNspUmn/MlbVpoaYsUnZwl4vdE9YMH6BK/JL+Ilwq05HesKDFHI1zr5cNcmAlpCcXOFmf6ud12VlzaIEUnp4n4PTEVXBFSnrPFeOovyBqXZtSFZ3cw5sx3Jb9IgkM8B7mZF/Q0G6To5DQRvymqOSeab4Iur3JTTJd+SVf6mXHVb0CBPW4EIegwtIR0f/mrlyhNwhkDELAwdg12qaWnpejkPBG/J9pcMVXh4xXblulKuKAgPMsSBiAc157RnCehigLKnPokhBCiwTDPwTb/4JJaNrqZ5PPr5qWWnpaik/0i/my0ueIYfRMNIct7IxgOA1EQkK6FBKohi4HA1kDRL0+jUcUT2yYvg5y+eKNPYkEtUwKwOIuBIEsjuNzsSwr+tBSd7Bbxh6PNVYrRXPAV9iCDOddsvKBGAHEcKYQQohq2X0T2lhFbv3E/z0281VvgVssEIKkQgnfOyAKObpYU/FkpOtkt4k9Hk0mDwdlcrfFNxaZMq7EB0URs9OtlE0MkhBCCgSWVyCIACFIhRBHZzZC6fti2pnWqZYbeKrJ+mCEQbmpJPC9FJ7tF/Ono0hu3cuEaYXFT+hlg9/pWVunH0tIVDAAII1LRTFgfpje3xetxqWVD5AJINs9V2/hES0KIp6XoZK+IPx69dBu7o/MC5w82eMvqiX9VcaTpiTOMtKi/o2ji+KWAxW/9SHrLHGT3W905AGNrKk4OsBRAe9Ey59qJq3CTj+/WgnIAeCh3mmy/69sqxe3sEvEa8nOetXAqkQya6ApO0edeXpEMb14mYlNSbA058ytQX6+MhdPszqn0s/HbUXR/5EAQWzViCPMQ/qPOd3k1NbzRBzTm8JXqC+MsugORPGj4xBjIupYAzEjxCa5U8+jsEPFMCqMx6PwNHehj9XHNnmfo9keJ4qpIAMIz0QRAKLr1slxF8KmzYYjaMX2TBsx5P5oV3lslUG80EwMI0kqIKuUEeji/69aGfilPIV3IgfxtbOJ9XtVSh02Kz0CVH7FPxOsGfdID/U5l+InGEgVADbQ3Mv7oG8KEdHYkAhhjP66rN4/ujxIA8vyRrghRP641ELKFWJ0aqNctawAgpQAoDfn1jlIPG44Hl63yQh9YDgQUAOoSNAC6aKlhmle1NB5qSvEJ8tqdMP2EiGcWSGTVUf/XjFc3/WRmANOdW6k0ZcOxo2Hidtdr1V8CVRsIu99NXsIVo8UtHuhwHKhMtGbdIDJtCPG8+9qxNQyk6UvkmEeb/lxL4xFsu4swULe3+0X84RhzxQEiKqLIlPUyVDSJKQo+M9dFoJ88M1v8DADtDEhYyTYtx9HJhTrqJ5Pr1+VwVvccagnpQ4mkiri8hCsUfCrF9VRM+6m7RfzpGNJLAVSRKij5bzzOeZGM72nfr0ar11DtM7uTtqGEV0KIhAIgvBBFTK2aZdgq0TDpYB4i2V2WaxPNGV63gndjo0AjxJKuLCv4VIr9sJOIqSkkWcpZf0GKKVIhRBgAoIwxqeR7RfzxGHNVAeBWHYssu0QjeKblBTHtfjx7mI1Lp3czLlZtPt4xUN9RBMPVmPaz2tB0+j0Vt4InQghRyIsUc94Qt6zgdik2nBCeFekw+AjydzWsP4WzLALiLMvkPn6viD8eUyYEM8vPwGYfdKPBVT2k2orQnigRjkGdqt9mWuM8XOun4RhmtpGzGi2l0jnUkvZaE/fncAwQR2srbp2wSbGg6Mx1MwSRqqATSxMgYFEjW9e+uFPEH485VyFm/HnoL9/m0YqIM0VBI31RsSLVreKMMWsSX0Mxro/SLsQRD10SznlE5wOPPQ615L0JD4G0Syu0h1OXW5JYpFiQQf9GU9sQoBAiCEYdJsYveaWIN7PGlft6iix54j7DmSkz54oD1vy3bFoBQEySlVMCEF6JJmXGBO9IVq7SzmFAGeeh9GjJMXKAcc6D5ZvsHWrZBAAY5wRIeAiAOce6QsGnUqzIIAF1X8wBLqJgPLYyf8kZIl4ipeoQmiyO6EE1DRiTelrJWG2o6bju0iSMcfkFGlhV3JyrbMbXFNv9CoblbJJ+AETf7BWWrP2VVLAhpzbszdZyEq0zF4WrnuFwwdm2QsGnUhwiR0WoKmYFkEQ9F9KJ6T9exAvoRSt6H/0xCl4MywQOkIhzTqElvesFRLpwZb9Pn6mdsXZfYttjCuv5kGVZZpqSyLmo3YHcYwozhDlhQS2LjAcA4+nyNXHt7cta8wCSLIsjikC7D4dBT4/kk2DsX4vYKFqRdkp3jIJzuYyLhltOOIBAvRrG6FObheiz9OTSz1o7Y+1cWfeY4q9v+R72mGLx8ryslsHKTNwtCs47m8OHgkA9DTWWfuYeU/y5iC1FK6ZhCYOtNTrYGHEbOo2M/YxeQEQwjL/cVjtj7VxZ95hCrKv6cVjRjmy952BR5o0jQ/a5lizMOR55SHWTbe4xhfhjEdtOL7cbVWyzAUIIYQYkhOjXqMpJbxQQSTGuzWxn+cqB2PeYQvxx2SX+woVn6ope7iW0q0RCmkT7ZLLHFOJvRWzdk838mpGNCp72X9NjVhTaGLi+qMvU9ZJlnbayPng5ST4aNrJZ9Ousg9n+3ONNWaMrMJ+NsYdpftULCYBymqJ2/01ISNR87No2iL8UsbVoxVFPHymV5z6MP9hIdDceuqmNx1I7Y6WC5/O/iiTpw/VUz++2OCof05L0t538yMdqRBRtP2X17z8PAPfr9fLLQ5AIuA66L1VdPxnOEvH955+vr6+vy1hC6FEfI5RpTwCQ97NJAJT5+K5Grac/ahWhAoq7mRO/6toRA6Dz2zhnHGBfWRAXTQTdh7SHanYR9hIKClDOOQ/AMtGnUUZC9PtMzrsUhQQIGlGFkxXACSK2laOwV8izJKnrLLms7IUvmmHtwZQ4QgVocWzoy9JACzlMo10rFLyQRpIep6tbGBLEX9JacpgfuaPh3S1JUTdX2VhIoAgw1s3gAED3VevchrUcBazOs50KPlf4Ihk22E08+lJjaLt/Iy8phuZTmeYr+Pyc86hU73WhOAzV/5upi/scbOUoZhK4dir4XOEL+06ZTlR4POcabtjz6YD1O3o8R6I9GjKY+Z/80f01dT7e6ROjHu5RPaknYFyCa9xqQL0zqoYsT9mW9QMg3Nx+5JoEvYJ7AHSK85BxcOmSOeR58taeANS15ea5+gZAvTGvBvAjXxDGQu3+u6knxD9G0AMAYASov28TlX6963Sup0d/Z6zGTwtolRbyPlzR1YdJjfIZ09oZ3oJ7OmbKUTxR23xtZY2ZnkqLAf8tgYhrB/VmmrEc9dX2OFnDT+jcLHg+CEs5ipnd5MzbM3pvqWhmLXxBpglzMUzf1hioz2DL7IaZFOgtuKfn2YofE1ZX1rD2lLcTC36/ArG+hxzjmCy6o70tPxHcciZ6PhajHMVM0Yq9gR5LT0LwSZt8zIsdLLVSQMTMwhJCWGpn+E2mR4HyogigPFr+GE+hrafS2M+2vzcERZ8ocP0ahyPtPI0AGBkMNUxPildwD6BWWA2yUUN2PT3rqZ7Q5voKpbzcwYv+gPouM2LUbDSOSeHQaf1Lr+AeAI9//x1sIaGDFZzxEbY7POQzPSHXQ1y375IVwwL7KkeSQznrbCYcZiU6r+AeACVwHxJNa8gHFzJMkvn6AzavXGZ60p2E5feVxJk8vfKfh/wwh3rWcfSRILV186Rc2gx4PoG5chTWbMKGYKGIlmOTOddToNXDNOkTVhrLzQ9aiY9N2YSeD2CmHMX0IYZFllAAoHE2n1zq8qLYe6pUh8g0uT0UYiggQpKh44agq/knmdbO8AruEULMlqMwKyplqtrNWnGnm9DaU6Jm408VPBZaAZFEP3LwL1pqZ3zNxZ88n0cOI+URyC9IFoq3W7jkcOvVpKffe/SCm+5+76Qw8lm8gnuc/N6pvfaSi0UFn/BPu+E8Mqn/nZ6NXsE9br5LvhwPNyinYfeFL3ybT1fawiWfXgZ8LorHTXa50WeN69M5tjmC/fr9a9Fv7wf3LLBYtOIV2FJln2Smdoa34J4FSMKu7VGVbXra/Q8U/aaF7cLh1+CeZdr2qFo/r6O0r4u8gnveGr8G97w1XsE9b41XcM9b4xXc89Z4Bfe8NV7BPW+NV3DPW/M/1OoJfLulxN4AAAAASUVORK5CYII="
|
V _ { T } ( s ) \approx \mathcal { E } _ { F } + \phi + V _ { e x t } ( s ) - \frac { B } { s ( 1 + s / 2 R ) }
|
"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"
|
u _ { x } = - \frac { 1 } { \Omega _ { i } } \mathrm { d } _ { t } u _ { y } ,
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABmUlEQVR4nO2WwXGDMBBFnzNpQC3YJagFtaAWaIGUgEsgJZAScAmmBCgBSvg52J4JSALZPiST8Z40O+xj/2pX0k48Z29Pxr8AL8B/BUwfxynyWcx3Nc3svAdznvs0FqZVyuaAEggItYFcQNU0HnBLqOszAZJUMPthCeWYDI8BZH+mULOiPwFogVvK57Ck2wA5KC+rcU+zHh8F1LC/rPyNdB9A5qqhme9HPqCAStJozFr9LxadBQcn4DjVZnsYolgDUo/f/H9Cgjw0Kkj334YEHHTDZ7nfFpCQ0IMtMiqYlCALZrMFViTgYCpyBKwcaTarAmuArPgUoIOMHloBDOCeBWRm8B71nojXYPiarF/4optbgQ29Y4FjOeFxCROEm9gdGNuWU04GlvAo6o2XpGVEDNBWgG0Xo+DoJTW30y4N8PHszlhJo12e0olhCq2kklob3FG73KfuYainzviwvTIT6KGKXjG5gCbWGFLyPAibINXadz9xhocB3QRwPC79+UX0fV/b6tEiqgYowpsiuw9S9vcemi/AC/A7gG9R91C+MmhN9gAAAABJRU5ErkJggg=="
|
Y _ { e }
|
"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"
|
\Delta Q
|
"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"
|
\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 } \mathcal { M } \xrightarrow { f _ { 1 } } \hat { \tau } \mathcal { R } \xrightarrow { g _ { 1 } } \hat { \tau } \mathcal { E } \xrightarrow { h _ { 1 } } \hat { \tau } ^ { 2 } \mathcal { M } \rarr \cdots ,
|
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