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W _ { - \rho _ { l } } ( X _ { l } + \nu _ { \mathrm { X } \rho _ { l } } )
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\int _ { 0 } ^ { 2 \pi } \beta ~ d \sigma = 2 \pi .
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R ^ { ( f ) } = \frac { m ^ { 2 } } { 2 } ( f _ { a m } ^ { n } f _ { n b } ^ { m } g ^ { a b } + \frac 1 2 f _ { a d } ^ { n } f _ { c b } ^ { m } g ^ { c d } g _ { m n } g ^ { a b } )
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x _ { 1 } - x _ { 2 } + y _ { 1 } - y _ { 2 } + z _ { 1 } - z _ { 2 }
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n
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"
\begin{array} { r l } { \tan \left ( \frac { \alpha } { 2 } \right ) \in } & { \left ( - \infin , \frac { \sin \left ( \frac { \pi } { 2 g } - \phi \right ) } { \cos \left ( \frac { \pi } { 2 g } - \phi \right ) - R ^ { \prime } / s ^ { \prime } } \right ) \cup } \\ & { \left ( \frac { \sin \left ( \frac { \pi } { 2 g } - \phi \right ) } { \cos \left ( \frac { \pi } { 2 g } - \phi \right ) - R ^ { \prime } s ^ { \prime } } , \infin \right ) . } \end{array}
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"
( \sqrt { 3 } - \sqrt { 2 } ) ^ { 2 } + ( 3 \sqrt { 6 } - \frac { 2 } { 3 } \sqrt { 6 } )
"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"
\Delta \mathbf { R } _ { i } = \mathbf { R } _ { i + 1 } - \mathbf { R } _ { i }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcklEQVR4nO2SQRGAMAwEUwYDtVALtVALtYCFIgFPrYRUAhaohOPLfQJPHr1fLjtzSSYOYmt56U/gK7BS1dvo8WACT2UAoZDFgFSgJLI4QqPICEYEAPWnEQFoUliAbhcqOXyHvufemjGDFxHhNd38yd8AN7fbvdiF/SN6AAAAAElFTkSuQmCC"
_ 2
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA1UlEQVR4nO2UQXHDMBBFXzohIAoOBFFQIYhCA8GBYENwIdgQJAgRhASCBeH3UM/UspNc0qP+aaX9erP7DzqI9/Tx5vsKqID/ARyL0/kO2G5vu+TcWojfpmk3La0VkEanncJVg5eCnW+uLVt7gDaORVckO0pjU94f9+N2AJ+/9bLO1DscJAPN/VUGfwrrQz8Fc1nq5mWIT9QPBixYIG0IzwDrFVL2MI3goyP5jbMM0TwM0MzqvNTevGTnMuRygpijezDO19nkATgRXTqVjkP9EyugAgD4AWxY0Awn32VJAAAAAElFTkSuQmCC"
\Gamma = \partial \Omega
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1ElEQVR4nO2SXXHDQAyEv4TBURCFo3AUTMGBcBQSCFcIRyGBkEBwINgQvj4k09rt9Oe93SdptDPaXWkn32P/w/xPEpaXdfdyB8B3XMvsGuNVXRHmNG3mzjHpasWpxHZ9KiegBccxmhpVbUEdSq6qNhQ7gxSVrtoZ9MyoeubqnkRm6nAhASQCSn5aWNgDmUgf3Cfun3IoLGtKPIkrF3F7K2+XEsA9ZWiZp+Y6PITlWmOcVcdxG1RM6pn6VVCpHzYqlkOP7S2cj7ZMtEfXJ9Xd/9v/jvAKnOvIjfkBj4wAAAAASUVORK5CYII="
\mathbf { r } ( \mathbf { p } )
"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"
h _ { 0 } u _ { 0 } = ( h _ { 0 } - \Delta h ) ( u _ { 0 } + \Delta u ) ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAhklEQVR4nO2SQQ2DQBBFPzhYC1hYC1sJRQIWFgm1ABYqYS3UAkhYJDwOHNgmDCQ99MS/TDL/ZfIOU6Hz1Bf9DfwCLG0vLY/+m2BPFwCyG4odJaAIQPAlcODQzJaD28YcLIfoAbKS5YCfgCFiAukFdHmyJN9Bkho3Wg6Sg4/0LC9U99P+C1gBl3e3MPVE1AsAAAAASUVORK5CYII="
\Omega
"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"
G _ { t } ( 0 , 0 ; E ) = - \frac { m _ { t } p } { 4 \pi } + \frac { m _ { t } p _ { 0 } } { 2 \pi } \log \left ( \frac { m _ { t } } { p } D \right ) + \frac { m _ { t } p _ { 0 } ^ { 2 } } { 2 \pi } \sum _ { n = 1 } ^ { \infin } \frac { 1 } { n ( n p - p _ { 0 } ) }
"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"
1 0 ~ \mu
"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"
\begin{array} { r l r } { \varphi _ { G } ^ \mathtt { S } ( \vec { x } ) } & { { } = } & { - k \frac { 2 G M _ { \oplus } } { c ^ { 3 } } \frac { \big ( { \vec { S } } _ { \oplus } \cdot [ { \vec { k } } \times \vec { m } ] \big ) } { b } \big ( \vec { k } \cdot ( \vec { n } - \vec { n } _ { 0 } ) \big ) \approx k c \Big ( \frac { R _ { \oplus } } { b } \Big ) \big ( \vec { k } \cdot ( \vec { n } - \vec { n } _ { 0 } ) \big ) \Big ( 1 . 5 2 \times 1 0 ^ { - 1 7 } ~ \mathrm { s } \Big ) , } \end{array}
"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"
| q | \gg 0
"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"
\frac { < \lambda _ { k } ( k \delta ) | e ^ { - i \delta g J _ { 3 } } | \lambda _ { k + 1 } ( ( k + 1 ) \delta ) > } { < \lambda _ { k } | \lambda _ { k } > } ~ .
"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"
\mathbf { p } _ { 1 } ^ { \prime } + \mathbf { p } _ { 2 } ^ { \prime } = m _ { 1 } \mathbf { u } _ { 1 } ^ { \prime } + m _ { 2 } \mathbf { u } _ { 2 } ^ { \prime } = { \boldsymbol { 0 } }
"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"
\mathbf { a } = \mathbf { u } _ { \rho } \left [ - \rho \left ( { \frac { \mathrm { d } \theta } { \mathrm { d } t } } \right ) ^ { 2 } \right ] + \mathbf { u } _ { \theta } \left [ \rho { \frac { \mathrm { d } ^ { 2 } \theta } { \mathrm { d } t ^ { 2 } } } \right ] = \mathbf { u } _ { \rho } \left [ - { \frac { v ^ { 2 } } { r } } \right ] + \mathbf { u } _ { \theta } \left [ { \frac { \mathrm { d } v } { \mathrm { d } t } } \right ]
"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"
k \times k
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApklEQVR4nO2SQRHDIBREN50awAIWfiUkFiIBC6mEYCEWkNBIKBKCBJCwPTDTMBlIrzl0b3ze/N2d+R1xrtuP/z/QAsIKN54BS4LocsCD5PAuNvjBAl4A+1j36b3YLU9MrocPXlcsNkTiRSE5oWYRoJAdmjVDAlwPQMGHSguRGbOQ5KbMbrEDMdL075ynliGNA5TkCGWJ7nu0yUKbY8QSaOiSB3NF4AOcPI6nPFUtygAAAABJRU5ErkJggg=="
{ \mathfrak { g } } / { \mathfrak { i } }
"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"
\begin{array} { r } { \frac { U _ { i } ^ { n + 1 } - U _ { i } ^ { n } } { \Delta t } = - \frac { \partial } { \partial { { x } _ { j } } } { { \left ( { { u } _ { j } } { { U } _ { i } } \right ) } ^ { n } } + \frac { \partial \tau _ { i j } ^ { n } } { \partial { { x } _ { j } } } - \frac { \partial { { p } ^ { n + \theta } } } { \partial { { x } _ { i } } } + Q _ { i } ^ { n } + { { \left ( \frac { \Delta t } { 2 } { { u } _ { k } } \frac { \partial } { \partial { { x } _ { k } } } \left ( \frac { \partial } { \partial { { x } _ { j } } } \left ( { { u } _ { j } } { { U } _ { i } } \right ) - \frac { \partial p } { \partial { { x } _ { i } } } + { { Q } _ { i } } \right ) \right ) } ^ { n } } } \end{array}
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\ell _ { s \rarr t } ^ { \mathrm { ( G R ) } } = \infin
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\alpha
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"
\begin{array} { r l } { \int \mathrm { d } \boldsymbol { v } _ { 3 } \mathrm { d } \boldsymbol { v } _ { 4 } ~ f _ { i } ( \boldsymbol { v } _ { 3 } ) f _ { i } ( \boldsymbol { v } _ { 4 } ) ~ } & { \frac { 1 } { \epsilon ( \omega ^ { \prime } , \boldsymbol { k } ) } \frac { 1 } { \omega ^ { \prime } + \boldsymbol { k } \cdot \boldsymbol { v } _ { 4 } } \left ( 1 - \frac { 1 } { \epsilon ( \omega , \boldsymbol { k } ) } \frac { \omega } { \omega - \boldsymbol { k \cdot v } _ { 3 } } \right ) } \\ & { = \int \mathrm { d } \boldsymbol { v } _ { 3 } ~ f _ { i } ( \boldsymbol { v } _ { 3 } ) ~ \frac { n _ { i } } { \omega ^ { \prime } } \frac { \xi ( \omega ^ { \prime } , \boldsymbol { k } ) } { \epsilon ( \omega ^ { \prime } , \boldsymbol { k } ) } \left ( 1 - \frac { 1 } { \epsilon ( \omega , \boldsymbol { k } ) } \frac { \omega } { \omega - \boldsymbol { k \cdot v } _ { 3 } } \right ) } \\ & { = \frac { n _ { i } ^ { 2 } } { \omega ^ { \prime } } \frac { \xi ( \omega ^ { \prime } , \boldsymbol { k } ) } { \epsilon ( \omega ^ { \prime } , \boldsymbol { k } ) } \left ( 1 - \frac { \xi ( \omega , \boldsymbol { k } ) } { \epsilon ( \omega , \boldsymbol { k } ) } \right ) . } \end{array}
"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"
\begin{array} { r l } { m = 0 : } & { { } \quad \partial _ { r } u _ { 2 } | _ { r = 0 } = \partial _ { r } v _ { 2 } | _ { r = 0 } = 0 , } \\ { m \neq 0 : } & { { } \quad u _ { 2 } ( r = 0 ) = v _ { 2 } ( r = 0 ) = 0 . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABFUlEQVR4nKWTTXHDMBCFP3dCQBREwRREwRRKwYUQCi4EB4INIYJgQYghvB7sKrvKTHOoTlrtk+b9rDrx9/p40wedK7WNOG6SVAGSJmA+99sYCFMDmCE+qwVYPGCET1P20EuW5Aq9KRNkp2LP8ELVAlaI0bQKBAdoHthXGIwPUg+Tpxw2q+IBbE5luDsfvAtTIN69k9aFZSCMD0nSxXIsX8eulDQP53FX4+5gDr+OfIdhDD7NxVHY4kHRcGiCWA6RBpC8C4rnhQrwLkgJgvRMsw0CYLdhrW2SBaIFZD8L5HJEVWW2FIZGhXfhmN+r9aFxYabWJ8DNwmOs96ULrLDmY4IASr7tpKlq1svnDOlq+Hb//rxvAT8H5rkPBZG6YAAAAABJRU5ErkJggg=="
B
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeElEQVR4nGP8z4AfMBGQH1VArAIWDJHVB16vwm+CKCr3PwJcWaX1f3/o//37kcT+I1txTUuUYbUWgwNOE/6HTvmvdeU/KmBETg9irxgY0dMHii8cpl6zx3Azkmkv9/8PXYVmA4ojp4kyMISiG4BhJzoYDLE5QhQAAHH2Zt11e3CCAAAAAElFTkSuQmCC"
y ^ { * }
"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"
\begin{array} { r l r } { \Psi ^ { * } } & { = } & { \Psi ~ + ~ \epsilon ~ P _ { \parallel } ~ b _ { \Theta } ~ - ~ \epsilon ^ { 2 } ~ J ~ \mathcal { R } _ { \Theta } ^ { * } , } \\ { \psi ^ { * } } & { = } & { \psi ~ - ~ \epsilon ~ P _ { \parallel } ~ b _ { \Phi } ~ + ~ \epsilon ^ { 2 } ~ J ~ \mathcal { R } _ { \Phi } ^ { * } } \end{array}
"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"
y _ { 2 } = \frac { k _ { 1 } } { x - 2 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvUlEQVR4nNWSXRHCMBCEN0wNnIVYiIVUAhZSCSChtYAEKiFISCW0EqiE46FDewdJeWIG9iW55JvbzY9h7OvwYf8PgUttTH2eNcGbPFzwAI1ijQWQKDJzIoQC0LbLAC+BajOzDgDgYEsZFp2KGRZFSqquVLtunvowubJFuMaW4O57Fjzqc74DHGBFlXkLAuXfol9nPh/y2diqkKKDbWYAaChKC3EPruuPhJtPKpER334aBnjl/wJk9XO/+jvAA8STFuqUVHeaAAAAAElFTkSuQmCC"
^ { 3 }
"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"
u ^ { 6 } + 1 5 u ^ { 4 } ( \theta - 1 ) + 4 5 u ^ { 2 } { ( \theta - 1 ) } ^ { 2 } + 1 5 { ( \theta - 1 ) } ^ { 3 }
"iVBORw0KGgoAAAANSUhEUgAAAyAAAACgCAAAAADRQ1fxAAAT9UlEQVR4nO2dy5WDOpCG/54z21noLmYzO+5koA4Bh2CHACHgEEwIJgQTghWCdSYCKwQrBGYBGImXhRF+0PWtbDddAkk/elf9FCAIYoj/ePcNEMQnQwIhiBFIIAQxAgmEIEb4ewLJdv/8/LPL330bxHfw88dmsfROAFwC2yN7970QX8Bfa0F2gp+Ly+2APH73rRDfwB9rQcSGXRkA5Ducw3ffDfH5/LEWJENU9qy2HOLN90J8A39MIALb6lMI+dY7Ib6D/3z3DbyWE/i7b4H4KlYrkEzVnzjj9wmrZtihELz4johvZL0CMXtQUdJRg6C2hHBgtbNYP9Y3dm7JIYur6SyCGGOtLYgGcChFIXIFvbvaf07r6SyCGGOtLYjYAPdHizPgGJl/jjN+ef1NEd/HWqd5JYwxxpEDyvxrlrHjy2+J+EbWKhBlzlghhLXqkcV192sJxF49voj4EtYqEIHWNK4x4shiHCIsRpqSQNbDSgWi7RZEmXLJY0TJckkL2sKyJlYqEAmwRhI6N0YkMka04ABE0y7hVbFSgQirAUkBVu/Bkhu9qD421L9aFSsViNWnylKgHnM0+lBC+083+5e2QK6LlQrEaEH0PgaCatBhtB/7zQLJxguIjngn61woVP8CJwYAQuVodprIjVmB/T+6lkCe0VGsFbHOrSYSwK75ej9/nlsveO19swkLQeew1sU6u1jmQCCILqdaCYfC4PaOOyO+jNW2IBEDwDj4YDNBmxWJx6xTIALongAhiOmssoslgYD0QfhgrQKh44KEF1YpEEUCITyxSoFQC0L4YpUCsXdiEcTzrFEgpA/CGysVSGcOS1WbbGmvFDGJNa6DiM4ioNwLBNsggNq3/f8QxBgrFIiSbYGojQ4CkQIA5DcLJBNCs3C79XUd8ZAVCiRHexIriPQRWkiVt7z/fBdV8J88fxD8x/U6woXi73BhSJZPJQHOy1gOwc9FcTsAWy/XEQ78IYHcAkQvSGYxgZzBbkVRFMVpPAXX6wgX1jiL1Y/eqPAV3uJ0y0mdN1yD/1CQIJ/8HYHsJD+9Ih21lEBcg/9QkCCfrHCQ3k8s+Pm7h6yuwX8oSJBP2gLJFBBZy2wqA8LZK9NL2XUlztiLpnTEQAuiMrSzAACQaiBwmVtzDf7jPUjQS8ouU0DSlFAuATAf/v367jVTAHecBG+NSTgQ2L8cAVxmj3WWsuvIEexlaQ1wBlpnfouiKIoDABynmWKO/+B63QNeUnYc4M23GwMQ3nwYvgKdyUsG4Or27+0xiARaylJAML/NXsquG1mM40f0OzqDZrmHYwPSkGnm9PZzve4RLyk7aW2gizWQ+OkSBwztoVim3U+c9gzSu5nqZ0V2KbuPkTGOn7Gq3HZWp3fA1HxwDf7jM0jQS8quEUicA8eDJ7NdJedA4Gq9NQYRAGsZ9HK4Yr7dWIE/mWVyA5arOX3mGYk3dwFwidxuLGIFpifuPd4rt3txve4RHurE4/wTMFz97UQ3Zt7z9rlotSBCAO4T/naP69hdfQUwvy84327Y7UlO+FcACB17nX4Tv5MAp3YuHIAEYJPsuA6nvA27PNSJx/l3BMLq45UDfFpZjdo/tWt5OGWLQauL1T2sqjDiOceZ+XaDnj3sjpyLorgmTPw+vSowI/E7EuDcdl0n9wj4xMMrrsF//AUJ8lAnHudfk4j8lQjP07J71H4AexAiBCbEF2sJRHaKy8/x1fl22bw6Ghyuod7sRfbUf89MHAAgwQLb8aLeAceJ5+ddg/94DBLkoU48zr/7IbfsVyOaOjwftc9hHwPaW/PJj+iOQZYYgixmdwLsHGdpiuBNhw21RggOiGZ0GyskYTYpH1yD/4xdt1GBFT2lvD0FaNnrVPglZVercJ+2463OJxSQzYNlEnzC+ootkO7Lwk9mLGV3GkeW6bedxZVAgBDI7617moMf+rJmxIhj8J/x69SkrTAvKbtKhDrOwbxPOAZWC5ICU+Yu7C5W92XR99N0lrI7kcOteJvjdQGEYFvovPpB7sGO0KpHHzK/f8zMytwX/EfEm33Vw76Pb7wGCXpJ2ZUqVJscwdn7BLK1ELJXiKbUAbsFUZ2+3KQX3CBL2f0iyrcuz+s+lt4BB95X19JM3Rf48hjRoe4wG8F/VDVI1vsMECnjHJCiiv3ec50JDyq3xSYCAGRf1/wlZSeBAHKjEZ78bwgK0+azziZuYOl0sbS92OvnZbGU3S9CgjNgu69H6bFCFFU1w0TEZo1UgcryJrjJPfhPXrmm3wkEgVK6jBwaDl5n0tvBGK7xLyk7CfAsBhJfq4MmgTE1std9++FGsASiJbDvXNKTGXvBevNIQh96strZ7npRGhxAwKWSHPUApPs23qdgUVOESZLu9ebKUAb/ye6TcNV79rALj4AUGplGdMDQdc/zkrLTCixPgcMi0YcD3GPBiMx9Db3EEkj/OkG/EqacxXG3u1rqlmIrkfNqAMJQTv4al8UZ+Ml6wyUs1vsjBoL/8AsDwDn2Gtuy2fAcJOglZVe3Sbm3vTEWzTTWfsoaOoCWQAQQth497UwIPsFSdi2yeceU5rXt3XcsAHMXYt1SbPfID/UABJDaqmtpZgw5KiKZZQcGHMw7vIugujhLwauS77/OYNivi2Ld+vmSspMAPwQx5GaRMzuszohMYjtx+GQJRAGh3ciJtL93Ggb9D9I/g+hu12Yf9ocx0BKqM1eezzte2hHIpMTTngsBhKZAOFD3saoBSHvCVKXgbX0AUdbewdXpOWUx+o+D9f22F70L4UqhL7jis2U3Kf8kwBHpPeTm4mB6qv0AkFsAev/Ei9Dcd8I6u/wTD5uQnrc7ctth5+KZEyvzEn944f3zoXzH83s+nBorUXNK4Zwk5+Z/H+TVhU3ZdzWSUT0+Hp6uE1Pyj5V7uyLA3a/GBPunyuwztdlsQZTu23Uzf0ZvKbs2bx3SDDzM/Z6almK7R6bAzuU3a0JIZc0MSyrcH0hu9LTNrxN4SdkpjYABOOocGfM/kcXKQ54yvYcDd8cUSI/T54E1054d0OXlWvNus+dut43RE1DK+ta91nu+Tkn8/MBWI4SAS1XHqG6N0XPA7JK59vP1Tk86Dsb5QP1Wqn8I0vrJdR3dPf/uuXNUEqnrWVh3+2H52x7odmAfYrQm3RboOrAXe0SHPa20u90RlvPH9orEjc7TAc3J27PVHQibTLkYJXMdP5J745OP7E7AS9k9yr/kniNXBrDpxxIelU8AWDvqJ2BuNel6RfezJLSU3S9CNAPKLZp9hPbL2JjRMjcdP4jmsJFIlvOn+pKyM9rXU33K0isBIJ8aodt7sbptp59YZkvZ/R60ap43CJvDb3bONEsOutmMBeTo6bbeiWW1QLgMLyk7Y7U0TKpz+l7hgE41kidu3BCIQOfRh94W4Xlg0uRy6h2CuNpdK9Z7OGq2G9kjDXZftkg1u3elhcBIAxFn9QKh+82IgYNjQvSNDpYvO8viIQRS3/7uGJCnz3kRsgXSflkMDRXD9tpRDd/2CsTB7jLeCD8E6z3cZJGy38YcssyFLMWh9FIPqF293NgXAyjL7guEzqSb359eNpvh4fOd3joxr/DsbtwRQGyY9hH5iANZ65iUq11jFqu3u+lnr/sDuyITGgg9HRGVUoG3eyWz3bbNSbwnpA8AILezIRTYnQLoNEUS5SLlIZDtNTsBAzGAshhswum46TjUifmFZycSRBlkWr3sPUU+CgBYx6RG7e5Tc9PkvXfU42Br2/EY9gQP7d62AA+73slsXCeSjlVeh3YncJ7btpmJX9Hv5GBrz6vcOKrp86icx2IcqJYAr6w5C3m/32pymU+bxJqwUPi4TngovGurZC5A7Z++96mn2i+KclXRuGLcrjVz1wjk0MmMG56aGGvx0G7Ckmt5W2NmHOtoBABh0HnyM/oe5gI4vQNmJn5A77N1qt+tLLTgVBRFUY1UokpZSVQUt1OyNU0n9TYpPsV/yfHc/yy387E9wfq4TngovENbmca7rO+pp9oviqLgLUcmo3YHBPI2krJYzj4EkgD8XBTFNWrlevmybb3GbwG6r8gFEnfnekwOdWW/HZPk3LrjnhhA10MAsOVWQsbxWXiDPIx89KT9Ibtnw9oHCKR+RXroYp0BXpk72E3DAeguqG0B5lr15yTujYEYQEn5yvXiynYiHgtvOI2HkY+esz9oNzG2n32AQIqiKM6nhI978wr7hhBtjAXrIrT2Ac5z2zYzcV/c+ECX98SAIHzXVgNPhTfE4FPPtD9sNzDU/gkCOVbjpdFmlLv0hZhRTkfrH0Lgyu0+1qVcuHVxsjczcV+E9yaqzYUB7wlJ6K/whhh+6nn2B+1y8+X2/gA6MpYIeIB0fEb54HB81Dp+FFin4SRYEErTK5XeAUfHjXczE/fESAwgfk5zNrbgvhAeC28Il8hHz9gftsusYzGTheeZW4DwXBTF1Tliw4itszGotTYC3oDt/VhAyRZIiq2/LZDDiXsien+MkzY+C2+ApZ7a1e7bBXKoOgan6XtExzmbcjgDSXEzBxzloaVgoTfEecLJH0c+IAZQh8UK785ST+1s9+1BPOudRnLRHT5T3LZ5T9wLHxMDyGSxwqtZ6qnd7b5dIOXmBRWn4HrgZPfTZpsBR+W27e6LZdht2wKJ++BzYgDZLFR4FUs99RS7S7RfU0iAKAnBAjDms9tud3IYeFEU1/vyxLb8a7LQWSPvPawLAwuTN03jDrNU4VUs9dRT7L5dILcQAItuCRD47G1yc9x4rSosrzwQHKo1vXChwSX3bXd+DKBFWKrwKpZ66il23y6QoriUe4MuXnPYPip6qhaSDuWvl3oLIFtmcOnHF0ybazLJeclrWKTwTJZ6ale7HyCQJTC2fRRFUSRVy1H2sW5B1bO6LDAZ203cH7cQLDm/a9vVu1jqqd3srlMgbUdRYT3W4sClHoAstd49zUvVNCLgnc4r3sRST+1i9wNmsfwjN9oO0Cfq2dwtINK8PoW3yNH4TuI+OSbsj4WNAJZ7ahe7P2Me6r4UvZF2GC/5Wx8RU/8iUGDXco/Br8TV9/aMTuLEV7PCFkRvZOX5tsZ024Yht21LJU58NesTiN7IdoA+oyu1Rek4A1jEt0pP4sRXszqB9FVRJ7dtSyVOfDXv3+7ul74qartt0wNu2xZKnPhuViaQ3ipqu23jA27bFkqc+G7W1cXSG4nGsec/P+XWRDe3bQslTnw3q2pB9EYaQX+Vria53dy2LZQ48d2sSiCxRE80NDUw1pAeYsA+TJz4clbVxer4WZVA6eO2RwnKdwvSmzjx5axiJX2n24EmS0RPrMqX8dbEG+Qey+18+QOsQiAbQbs7BvkBbh8h1e9kFV0s7nm+dm2QPp5nFQIhRuD08pjDWgQyK77KqpEkkDmsQiABkNKyXC86ph7WLFYxSNe/7wzgxjhYwMP+aiiFlvdwX2/iTEuWz7MKgUDu3h/ikG+jtkZEnn9A148m+OawDoEAmRisiv9Xf/jf/3p0Rc1//e8jY9YVVfeORVa8wHxfqTYwBwG1gf/+n0dJPHs3NrwnMCPhzloE8maEFAIAa/z1qVgACLbdiJ7EN0EC8YXKMo37dvc81kAYfaK3UGIKJBB/6DgHyqATWWw1J8TXsopp3g+BnY4McodSH9sr6WMFUAviFbnRiI7yF3S0cCWQQPwiNxrHVJE+1gIJxDPyF6D2Yz3QGMQz/AgYR9OJL2dVR24/gkhJHGn701qgLhZBjEBdLIIYgQRCECOQQAhiBBIIQYxAAiGIEUggBDECCWQK4ufnX+Pr/udn/7Z7IV4CCWQKGmidX6XjrCuHBDIFWcZwa77SccG1QwKZhnW+XFGIg9VDApmCtBRhhnYjVgoJZArCUoT/IKDEx0ECmUBLEcLucBFrhAQyAQFmCoR6WH8AEsgEWoogt9B/ADowNQEJZvjI1jSJ9QegA1Pu6H/av1DoptVDLYg7naicRhRCnSsJjsbJ+x6sCZuYKeOLEkqCB1sS11dQEK4kdm6FiOqPt6b6b6uf0Py1KAIk9cd7LAKWFMTnQy2IO/YyoTFG1xsZJGEAJTLZjNuNi5vRyj4F2/IAKhcpyPfJF/BuhX4RDOZL/wKcq48J+K38dMOp/HA2c/Zy/xIB29v947kgPh2a5nVGamtaVzZtRI46MAire1DWDNe96YkzHE/VpccQ2ZK3S3iBBOKMtHpNkM2iiKGGepBuLZnUX9LMDPe0BcVV/HxIIM5ItFqQuwQY8vbFwm5BOADoFFvj/EgI/f7AccQDSCDOtLbyyiZ67Bb7tkKk2YJUexxTzUyXvQFAAvl4SCCuaKvOIzc6XAeud5vMDJIoEDTLHBIsAIAMnTCfxKdDAnGl1UZII/44OycQ8T+/mfFX9XPnt5SS0PYBXQHaqvL5kEBcye36nJtb39nheuCQ8b/1Yntr0T0AANE6oGv00YiPhRYKXTnbX2/21yBJVJapzaXUgMShkU+sQgBQrc2/EhSj7fMhgXgjOGw3en8CAKWwbdRQzfLayyhQOfWwvgDqYnmER9VIRZpnDa0Be0OKgFqQz4cEsgR9k7zg1shEZKAwbV8ACcQvpRass4b12COAaNY95A4R9bC+ABLIXPTPfQJYZ9W421pHr79sGe6OSuVGUxzDr4AEMheBuFr/EL+aR0BrU8p9jyNLkO8UAKj9r+ZnmuT9BmgWay4SOk55AKkUqlqfmwJpviQqy3POoCWQUPvxHdCZ9LlImVe7cvm2Olj4rwqbVZNfyS/15zyVAMC2CflD+RJIID6QGo77RpSC7VyL+GxIIAQxAg3SCWIEEghBjEACIYgRSCAEMcL/A8aNmyf+lK5AAAAAAElFTkSuQmCC"
H = H _ { a } + \underbrace { \frac { P _ { z } ^ { 2 } } { 2 M } + \frac 1 2 M \omega _ { z } ^ { 2 } z ^ { 2 } } _ { H _ { S H O } } \equiv H _ { a } + K _ { z } + V _ { z } ~ ,
"iVBORw0KGgoAAAANSUhEUgAAA4AAAACACAAAAAB/t1gWAAASnUlEQVR4nO2d7bmyPLOGL/exG8hTAquErBKgBCwBSoASoAQpQUogJZgSTAmmhLw/8AMhQBAUXPecvzQgXkqGJJPJZGdAEMRa/N/aAgjiX4YMkCBWhAyQIFaEDJAgVoQMkCBWhAyQIFaEDJAgVoQMkCBWhAyQIFaEDJAgVoQMkCBWhAyQIFaEDJAgVuT/1xZAEH8eKTTg+Z7lEBkgQbyXIleMQwB+xjsHqQtKEG8ljtnxUlUmg/gtOkd3tCCXIN5ImnsnBgDIU+Dc7oZSC0gQb0TnCGv7Q8KAvH2cDJAg3ogECnl9zQHVPk4GSBBvhAG6vL6WluNkgATxRngCFtYvlQY6blBywhDEZ4gLcsIQxFrIAkg6c/HUAhLEJ9CBBD91iqkFJIhPkErwqltMBkgQHyAuwCvWLScDJIj3ExeIThb7IwMkFkaJMg1yiPi/3X5tLVN4p279W7DjAQB0rp8PkROGWJZAAEhUCQCVv7KYCbxRdxnrKKubv7S4PB+jFpBYlurMgMKrDpwlX2R/79Ot9nuvOtT2J/P2pakFJJYmEEiytUW8wFt067zQYVS/VqrQh+j5OBkgMQHZXVHaZQdcbP6GrTNPt9a2Be9IW+sf2qEwtCKecEalZSeUqovEfQHOJpG6XcIZMFu32CfJ+Md55/8zBOHGgflnl9OApFuaPNW6cHFx7nQHeJUxpk+3u/DK807T1VALSDgSF24jJAVYnBhZVu5Rj3d0mXYaoQ/S7UXXDZddt7tw/5T+tkd445ABEk7ouHSsXdJWx3Gr5gBY5K05Q9j3FOnT7SycHRDrZOAEG2SAhBOBHLI/0Wg8BLyxsZD/+TGisDZvz2eM6h4TfkCqJ/pRaR6QcCGWUZ/9lfHPLgh2P9fuWW9DciMFwMWy8mSa18keVB4EaTvvQ0thzyXGdLsIz3jeTXw2zPRhI/HvkcG72I8cPbCkqg4c8M7G9PoyjKnqynb2jTHnnqu9SAQAR2Mu9UOCPTlDOgrt9OqeJPwETPPEkAES41TA0XrgEgLRxRhjLh7gG2NMcvMqWi5SVVUV+ovLS+CHgG9ODFF2DAFvUGHfRXp0TxOe9D6q7JABEuN4PTX3woHo+jq5dqd8wF4DK8D3fX/ICF7jjMRUQHJi/GSMMQy4t3Q2hXZ6dU8TfmH373OCnDDEKKmC1bmnAwn/0Cq0LDp9OlZOHSSNkvsZFIDAqxfcMY3bdLdVYb+2wYNuwlmUF+GEWFJywhBjqALcWqVS+XDqqwJwmqaoU4TFy0gDALAEkIDA4Tahdw83eUlhD47CE0v23SGmNJfEP0kEZLbyCo/uXeUBfHjwc/VlmJMx5rJ0P9TDXWT1iFeZqLCHicIj4OB+cWoBiRF0X8uR49os6DIIFEusK767cAClS1D3BLQCvGs3WeDeAr6osAdH4T4woZdNY0BihPwWrdxCCYAhhVYCLPSnBDLrfE5f0IIA7sNUeQ8pm6GwBxfhISCF8yiQDJAYobwNf1oIADrgjPGQuzRoj1lwkaqFW0AJeNHjtf+awh6mCg9LlOsaoLo3wV7rgZE+0uMPep22x/cpT++vZq0yLXuClKGACQtYi1wB/3EASqHniq8jHw8Jqe8RLdMU9jBdOC9RZK6t7XsM8O4G8lsGKBcOQfoc36f84YubVQcFRmO0XOiNZFsE8RimyoWte7pwH0Dp+qm3OWGqmwPJUmqMMd+2Ev/7lNdip0bndxCLN1fLIxorXeXDB7MSHPaNkKz8CS9od43zt7B95VL1NYAcdfN4Y8Wf0mz1GkHVayn0gXL8rJo/YYCp8/Nma2xfuUBjQdwToVdvOFKjgp/O5pMfo2F0WoLdXq+l0AO06439Ewa43p2fy/aVS/QOAY8MiFMFQBfBj+zu/PMxGt3kp1VFKylkeG55h/gL0xBi+9W4hy9QPmCAvAo08quvJ1rR/pR+zFSKptyVFHK4P1o/bIBCKTB7YOHrDITeFbe+eNjySmmpFDyvM8Mc3F603UebUd4nvVf5LLRCXxcU4Oe8VADghdGajg/xPARs3KR1FDK4e2E+aYDiXqmikP9EFud4KQHenfWVGsrzAaWgdbs+ylRAAvBsf7AStnJdlLf/h4dRt3p1OvAvKx+U/oLyMenOQw9XJIaciizLpO4JlPkgzZmC1sL2VRR6mOAGdQ8bNcaYI3MJNK1gWdx4CQGWVBdTZT7gWVZNVV54rI6+1/lo4tWrlQ+8u6Ty4PsA933fqiuxLXNOGAAeJUnkAWDdE6rn/2WG8iHpLygflV517ujwIrhRDhhcxbo5Tk+rcdcCaCxJHDl12pV9p9tpM8CTB/i3YPSKWW7r4RrOnlhsnF9rY2KrDb1Lma3V+MIBJNe/5+QDXYN6rsbzlA9Kn6bcQfriBph8mQEeLLfz88DWAtmZ6AVlL89yxqqxQaF/Yp02WqXXcPbM62TV6R2FTEcHEqzKrr+CVxlQDK/xmqd8VekLfCeW/AWvIYV7FNL60/BALcHRCzPRAA9heJwsBwBy+RQR5VXQrWnRXN+GUKGetKJxGnsJHBvD9CQCiqHlI5tRPl36AiisX6PTIBg/6crSgWiv8T4DZMfja3GBJZ7/GR61G5Ki8aR1jiOYTCGA6OkWZWx4CfNWlL8g/R9kPLngxvjURHzHKZS0ip4int4XM1QCrfwmLATUgN1sRfkL0v9BPEBeJ0++g09GwqTNN96p47T/wL+mmmG7V3yMOo03oPxV6TPZfKxqiwwI4vhnA/2C17ugUgPQj4GvEM27IFXviUOEAPJ989RWZfJYQ/Irw/6dy0m2FV0j06YbUf6K9AXYfKxqi/DIdSEzt0Rob8Xx0dUywHS32/1KyGAv0t1eAzr+Ffl/QX0f0v92u9/CcuK4tUcAUAY/cdknLLxLVhOTV02o9LaHxcigfSPKX5H+LxKejDm9de3hsrQiYUJPlIDIDx6Q5vKk4uwAlPvg5AEIeVn2nDi6HUeSA4AqCvg8tI2Ts7KslxGrknUWsV1T8mvrgIcLjff56mYqH5T+XuUD9LgVO2FvxNuxTCIe62nnC5BdJ6D5fXazMT38dOLTJayRMFWj7nqJJU7gxPjZGHPmrJtdv6pngyNr4u8MoTGZNbF/ezo7QXd+u0J738XWdPYs5YPSJyh3k+46Ed9TGbpK7KWfxf+65Jk+nMMXbE6YtN5ql/nIr4mkuH0s8DjRYajgn073cHSVW4bJ/Mx/gzT45eduM+Mf5G+a/nIf6r/O0ztJyiAunZZ+2/pso1Nds5QPSp+g/DXpxNaxBWOz+72+zTB3oz/aJ7p8F+eZKuXVpZN2s52zw0HAt49rokhqZNCVdffVRDK32Z/2Gmmg9jNY0341PjZD+aB0d+WvSrczO62GWtzx+1q89PI6JjNvIG4zwMZ6quE/ZfqUp5cAQhQaQG578A/8GA40Tf6JnmLLiWEJKZ906xLwxn/JDOVD0p2Vz5D+DorFHf1V65949BZk801rmLq8jsnMe5hZW0DLKyuvBQn6fpIWgHZPXrogSQmkTyvmct2e3+5lVeXzpH8fwv7mu+JcxvnIesBAnZ/es8NqS8F5lkKkjdjOMh9y/m1I+VTp78Vb/BnUfpo/vkDqxpvWkHd5HR/mIwboCdl6cIWr9RwSVSB/RFcXKcD7p223pHyi9Pfy3jSfQHNhfyD6V/m/X8eb+UgoGuvsVqGwSmci/gUOB4Y8uE7OpbFGWDGkv/aGbTPKp0sfZGcnHf8ksSwfigUtnv13WgC3fAoi/t3tggIogttJlqJl0DIHolMIEcQAxE8OdjgyyFz2jWd7lGsh0n0AiPhn9xOr67Fu2ZrSiS/gI11QDsRPsTK5xjVmRMcl/ITLssjia+/KUrQUfpn6HN5R5EIBENqLIgboGD075/QqL3IN+IiLKNFlUVa8p2w96cNXsxfTnOLn6UzNPyIfHrtiJ/fzniJhuifWtCNhKjzvjXjAbQ/DCwc7GmOMOd60WIpepxVPcgFYHbQDboxJcDSm3rrxKZfEI56kX7kJgSTiZ2PMxbvlIbGVLaPcUfriKSkAioSZzoRImI9lRZM/2XW8rPMcOERAnWThusY7vD6WLUXLwcJSpzm/Je/XEBJSKQxOZ1uVAx4gUDEALMxVGfaVrSmd2DwtA5RaAqUPz1NKS8iSMa4USiDnjEutACHg20/s/RIfyAoV5yFnkKoA/Kw+OZdIHnu58Z6iBfHL5gIqdXex9HXjepUDClDX3qmfQ4Z9ZWtJX+hbXxmEF/EC24J9ineJde3Od9tOAEjuu+r4jVf+4zO2E+90grER1Yn5asLbsQsDbv27rO5LWYrm0OnIPWrr6fEj2t/T6Mj1KDfGeI9LZ7eXtrKFlLtJX7wL6mP67zixFz40rGG5i7VZWqwxZtK/1moBH/MtWdZ9VQ2f2I8BEEVKCcBrTJ2W+u4LvSXzsBQtCbs03znkkO5RXmc9uD179HUa2Va2GJOlr0b8Tcvo1xb7yczYXjtsQTUaanFPqd8u2gAd5XX6rcZ+BH5f2b9HKsPvyVOzuthVd0dqNHGlvtfhdtE2aTwdpLyGRNvKvpwp+4zUlLm3cHhOVr2tvV9eLIBJy8ScW0AhNQB/0ST7jWvltzUD3aJt0tg5Pb91PG1lf4BJnTQd47CwW+h9teANYgG8wQBlcU2IksOPlvPt8Xvrn966npaibfLIAFuW8KPesi9n8h3Y62TD/ZYW7xS7pAGmObzE54ASuRD+camHRpii9AEgF1zUDzpL0Uzq3YRcVw0EgNMjXyt4mgGAiMGPvWVzeI/yaUza6AdALnyLU06WLPQAQJUCfNWtzJrYxc6n3hDN7VwHA9SBRFRnHfKiKC5EUC1kgV6SFyxiotDV77WnYSmaw/355nrP+fPHepEA+8k4F2WB2xPJVvYyb1M+XcYEq5Yps4yp4gJIjyF0WgAQxbJBei9jF7sAkwL2x2cqkuewGn98isOalMnK0QPgJZfL4zssRRskAY71Gm5+GCpbnZnzgMaD805bxly8OkIOT3UkgR8CvjkxRNkx3MQGYqZP7BIc4b5H0/jNObXuQPu9BXcDNOZUnepPJENFmyMEzsZcquoyXLY6cw0wnHAvTXS9ZU91+ozEVEByYvxkjDFsgkW/E6vYRUjQzhPYz3gXtAT8ZjeIewpiOQdD3VSLZlfLUrQ5JJjXzuhiK/t6eAlIx59UFtwypsr9DApA4NVDF6Y3cWPtYhdBw30sMD4P2IlH8d6wF4Il6GXT+9xo1RVnK/t+JgwCVWwdU7EEkIC4efzVJuyvR+wiSMA1152DE6bjA3vH3/dtBlhaxNnKvh/uKVc36F4fbH9ABkAAMrv3bLbwN/WIXQQ5YYnKeAvY8ea5NX/Bbrfb7dx2VtSxbu+sZynaECIHSjVetip1lonZKWxC+7YUXVLZO2OiVZ3XEdjK0GJA7GwEJnijx1tAr12p1OgjzLsHgTj91T8KAPY48aGi7VDuAUD9NDcLtpWtzEKROH4OuORhFANRXaIhZxN72A6JnY2c5AgYddMcWm7jE8C25OYj3ozn5iW0PWtvFSdp1CG2hfXtQ2JnE7pPQtj3hngm8qCa/Zj0kU+J+BeI3Pqgtjpx6+U1BkVSb2EIOCR2LrqckqVgN55YWwaaPWIX4gL89Joy4ivRPxrn8bFEc5eGAIhCPLY22OF+hSLewmL5IbFzKffw3ZdvjI4BJePVXv1mjSRmR0i2gXE08RlYlMNhByfvuUo0R0HNzbXlJnwwA2JnU04afo91QfVvCn5KkP6UANKfkiUV0/v9HIXEd5F00xNPo+l32fTs0hKosnefLBtjBsjCMgfLzokuAOQsOWfQgaJMXP8QLIKaNCPU9ps3jE5L9znqz7D0zFExzf886oQJke4FvIwrQCHMmCp+5WIDVuIbyPi0JlDgOX6jkZ5jew1gW+xMdIFpawxH/aTe48z70DIc/RTxlzhNyU9X1SFnUXULuT4D/Hawk+xtZTpi55I8JXIeZ9wAk4cB3ieZjy/rI76Sg/vcb6P/df/ww+j8CWsrPkBX7ExOYKdJH3CYhiAIxMUyMT7/aVz+8Cyy/lWHacOzVbOiEV/DISqX2LtManh/2P6wn2p/H80LSnwxB+TefNfbJgJB30csptofGSDhyIHFcnYA8zam4d+E3svj5Pk56oISjmTH8neuv/4vt4Dlj66mz4+TE4ZwRqeFQ1DoELt6t42/SJFGr8S4kgESE1AzO5A/CicOrf9gP1S/thkPGSDxQco9WIgyfN9q2G+DDJD4JGUuwSOKZLxDBkgQK0JeUIJYETJAglgRMkCCWBEyQIJYETJAglgRMkCCWBEyQIJYETJAglgRMkCCWBEyQIJYETJAglgRMkCCWBEyQIJYETJAgliR/wFH4fKtB061LwAAAABJRU5ErkJggg=="
\operatorname* { m i n } _ { \Omega } \left [ \bar { S } _ { q q } ^ { \mathrm { ~ o ~ u ~ t ~ } } [ \Omega ] \bar { S } _ { p p } ^ { \mathrm { ~ o ~ u ~ t ~ } } [ \Omega ] \right ] = \left ( \frac { e ^ { r _ { \mathrm { ~ E ~ } } } } { 4 \eta } + \frac { \eta e ^ { - r _ { \mathrm { ~ E ~ } } } } { 4 } \right ) ^ { 2 }
"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"
U _ { M N S } = \left ( \begin{array} { c c c } { 1 } & { \lambda ^ { 1 / 2 } } & { \lambda } \\ { \lambda ^ { 1 / 2 } } & { 1 } & { \lambda ^ { 1 / 2 } } \\ { \lambda } & { \lambda ^ { 1 / 2 } } & { 1 } \end{array} \right ) .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAoklEQVR4nO2TUQ3CMBCGvyMzUCTUQi3MwpCABSxMAxZmAQlMwiZhSPh5ICR3tBnvhHu59vq19zVNTezH4cv6DwJmdpqOZnb1hFyMlGHRSHK1AJwZJCnsCkDhvg+QJWmhdzUveaMAzK/UuMVMdqkBrPT1Cd6hsElSil5+nGrHIPl29Ap0vhsNoH6sNToGIUlSjqUK2Chh3n12eFyCAvb/FwA8AUQF8cyjIkm7AAAAAElFTkSuQmCC"
\eta
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACt0lEQVR4nO2Y25GjMBBFj7cmAW0ImhC0ISgFTQhsCBACDgGHYIeAQjAhQAgohN4PXsK8PDVb6/nY++M2dWhfWt0CfBK+t3682sCR/hv8qt6iOJyV1ga4XUzeH7uFJlUv8DVJJtm8+yxy4d6FaSrmLq9UXEGCVwbC5Q4BgOZSc39J3UZFPVgFjQJuhkbZ8A7cjAII768xB7MevNgEgqLSnBMqCxCg0X0MXJpg3RgPJ+pkK/szzAF2mjbq2+8E4+A9IeRk4Ez4ZZUzXdxTHybtgp+JJatyw3mcqIWeYY6wuCHvIiK1qlsRseXViUgtU9wxqvssSxGBIZoUfd1k5trFZvugAfBGKyBYBaCZ4o4JVRdY8FhA2TgH3k/xFvOgPextcUSnAN7ih36YYu9x/YBbwGOGy9r64UPmCFsa7C6i4aKHyxnjzF/1R4RW7BZmg6myMczNNtYrGpJsnehlLefsbsjOtR5PZuVZKGPW6EumuYxhsp8KiIdk1x+piEpExKmpubEiIm2ajgdGlXMmgtbnpMeWipb46MnQBwt4B4SgGfoGFYY6mBK44Zi6qWciiGHKAKMesD7zegWPVFKKFNxFJBEREdvXSc/u1vNSDUwErdR5wpLHX/2EwZpSWp2K1E4XIv3WJVKr1BZbBocKPEALG30qpwuR1LXHBgvTLo4l7mrTwUNbOihqESl0e9WrBifmEZopwtJURBT5scHrWtPW/TKZ2YafFFJOkyPFaqEeoC11ma/XY4PJztC185N0LYXbQD8H9ZnbqICbBnWZ6C2PVxtPRa3l+KH2KWjIPFuf5Z0EgCZU+Tls7DdVE38L2vt891b2LDRknt9T1i8lV7W4nambl+evQSs6rW/PHzrnVD/uma/Qxmund3ijttb4X2rdoFeGqqle+77ZaWOJv4++/T8L/w1+VX8AZxMk5JCwLCsAAAAASUVORK5CYII="
\begin{array} { r } { \frac { \varepsilon \rho _ { b } c _ { b } } { h } \partial _ { t } T _ { b } + T _ { b } = T _ { t } , } \end{array}
"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"
\frac { d \sigma ^ { \mathrm { j e t } } } { d ^ { 2 } \mathbf { p } _ { \mathrm { T } } d y } = K _ { N } \frac { \alpha _ { s } N _ { \mathrm { c } } } { \pi ^ { 2 } } ~ \frac { 1 } { p _ { \mathrm { T } } ^ { 2 } } ~ \int d ^ { 2 } \mathbf { q } _ { 1 \mathrm { T } } d ^ { 2 } \mathbf { q } _ { 2 \mathrm { T } } ~ \delta ^ { ( 2 ) } ( \mathbf { p } _ { \mathrm { \mathrm { T } } } - \mathbf { q } _ { 1 \mathrm { T } } + \mathbf { q } _ { 2 \mathrm { T } } ) ~ \frac { f ( x _ { 1 } , q _ { 1 } ^ { 2 } ) } { q _ { 1 \mathrm { T } } ^ { 2 } } ~ \frac { f ( x _ { 2 } , q _ { 2 } ^ { 2 } ) } { q _ { 2 \mathrm { T } } ^ { 2 } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAn0lEQVR4nO2SQRHCMBBFfxkM1EIsxEIsxEItgIRiIRKIhCChlRAkNBIeB2jJIQMzHDj1n3b+vvm7O7Md+qzDl/4O/ALELryq+dIG3ApE+3bZlH3SBJBPSptbJQTnTJSkUoxaCRbGHgDnaSREJ/kSJOneTBgmwDtgqVZgAxYLcFWGpNwYEQZJ8iZIs6oRx7W4lecFs2T7s8bV7/an/RfwAHO7h8pPkXqzAAAAAElFTkSuQmCC"
\Delta t
"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"
z _ { 0 } = \pi w _ { 0 } ^ { 2 } / \lambda
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABKUlEQVR4nO2V0W3DIBRFT6ouwAqswAruCHQEOoI7gjOCM0I8ghnBjBBGCCO8fmBHoKoNbn6qqu/Hfkj38ji+yAfhsXp6UP8XDJ73S04+ReO6rZW95UaRq2NY290GYy8iIpo597sZeD8BWKbc7zZI4ZRfYn6sEI/JGrxHu3sGverrhXyweeHSn+Wq+0YUHWMJ0cqCWUTE6jb9gpESoiHgDJAaSbyrmZKBI+AAvF3Xp1ArnK70aVaVgcJ3AB7Tsv/J3/RbEi/0IiIDSwOA0VxF5FIywNMBBNUwQYizAo7lEQjZwHdfiEr9NABEVRlkZUj3B0iv+gVI4VwZxPwNuD/BW1wzvGFcg5HzpNpiVFZ1nZXdb1DexhYEn6o0aEHwrUHUP5jg8P9n+gUGH4kD3UFPj2llAAAAAElFTkSuQmCC"
\eta - 2
"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"
\boldsymbol { C } ^ { - 1 } : \boldsymbol { R } ( \boldsymbol { C } ) = 0
"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"
\begin{array} { r } { - \varepsilon \rho _ { b } c _ { b } \mathbf v _ { b } \cdot \nabla T _ { t } \approx h ( T _ { b } - T _ { t } ) , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3ElEQVR4nO2SW3GFQBBED7diYC1ggUjAApGwFjYSrgWwgASQECSAhEXCyQdLkVSe/0n/7PRs10zP1FTyPW4//P8VwQMA45D2MTVnsmqasOwvB1FdQ9YcVgsC1CkfMaoxqrbpFLReuAGMAaCZv/SwH/FypWea8MkURcj2HOqngcskSTUxlb5JXQt7V6Eu7x2oGT62KIJtA2jnN4s6UGzxSL7oDaDbAZbuFEaAub1MTrWaw6QrnaasTmWxqHqPOcdeXUPSHPupr8tI1XHV20h3zgAsY9MWR9X/2f9O8ArpeqL4rM/C5wAAAABJRU5ErkJggg=="
0 . 5
"iVBORw0KGgoAAAANSUhEUgAAANAAAAAZCAIAAADPITdfAAAehElEQVR4nHV7WW8cx9luVe/L7Bs53DdRFCVLlGXBSnAAG/FFzjlAgNzlZ+U2fyNAgFzEwQliwIkdGzIlWSRFU+RwuM2+9t5ddS4eTqlN52sIxGhmurrqXZ73eZehf/7znzVNkySJMcY5Z4wpiqLruud5cRxTSiVJkiRJlmVKaRRFskxVVQ3DWJKkJEmSJNF1PQgCQoimaYqiBEHg+75hGKZp+r5PKeWcE0IIIXiBBcMwlCSJUsoY0zRNlmXf9+M4VlWVEKLrOmNMlmU8AtsjhFBK0+tgV5xzzjmllFMiXseMSZJECFEUhTEWx7Esy4wxrIMVFEnCgoQQTVEZY6qqRlGE58ZxjB1iA9gqpRS3BEGAnYv3sbgkKeKM2AC2hKek38RxGEkgSc65oih4KEld4oC39zIuPuKUiPVZas30jbIsh2Goqir+K0mS+JskCfn5JcuyUDpWwxlxQDxLvLg9l0QppZR/eC5hDM/FWSRJwppQhCJ0hudBK0EQmKYZhiHMiHMO+VJK8X0YH6VU13VZlrEoVKXrOqwkiiKhfnFBK1AhzoP3oeBbW4nj0WikaRrUKcSd1gGUR34hZVgGpVQiBNuAItOWCr8ihCSc48iSJEVRlMwuqEeWZchErI/XcRxDlLIsw0QgCrzD06JPXdjtLz/SNC0IgiRJIFh8U1VVPIVSCg8MwxD2QfmHI/PUOji1MAi4tKZpSZIIi8Fr3/chBAEZeJxhGGEYwixmlsNw5DuST7/gs/8KdVBJgorFm/hykiQ/Mzjhu5zzOI4hiyiKgiBQVRWbM02TUh5FUZIwSZJ0Xcf7siyrqordAyCjKIrjGMaavmDpaZDTNC2O4yAIJElSFMWyLM6553mwABh02u/vbJWkYE8cnnOeMKYoCuxD2Cs8T5g74TwNWtgYSSEoYOCOc2OfWDxJkiAIKKU4aZIklH7QkLhFPCLtGELUECDnPAzDOI7hk5xzYcfYGPxEIlQsTlKrsdTZ8RSgNR4EScJwoTVKqed5iqJAy4wx0zQHg0GpVBJYiC8LEQmcTps4ST33dlcz6cFkhTDxfSW9RWH4M2e9FTdgAMLNZCxKaZIEuCWOY4hJ13Vd13GLwAwRB4FteBAWD4LAcZxsNmtZ1nQ6lSTJtm3GGF7n83lswHVdyC4dl8X50zsXnwrfEkcA9AqvEIfnSSK0q6sakEDcApFBGuJBcHq4med5hBAcnDEG/5kdN2UWP7eDOw4TBAHnHBiDxeFjWBk7CcMQ+yeE8OQDtWCppe7YAQyo3+/rum6aZpIkrut6nvef//wnm80uLS0tLy+Lh5qmCS6UzWZFFIILKYri+/4dnBMbSLu9sCqIALEFqAyJ4VLojKPAZYU96ro+mUzCMMxkMlD89fX1eDxeWJiv1+uGoSFi4pbRaBSGYS6Xq1arhBDXdXVdNwxDMCGxPuhUGIae5zWbTcuytra2ADyEkPF4/OrVq/Pz80Kh8PDhw+XlZTg6YO+X8SjteZIkCQ7HOeeMATWFG8DsxF2UUpricJIkBUEwHo9hQDBZwWvvcIAkSQzDEKALl4PdEMIpJfiHgEMpBf7OdEFm1sI5Z5QTiUoylaiscIlTSgnjfuDJsmwYhm5oAZV83yeME8rFzWkHSxs0zAXHiaIIUdLzvGw222q13r59e3h4uL29vbS0JGCVc+77fq/Xa7Vajx8/xnFwu4C3O9iWFj5JwRvlnHCecA4kopRSTmRJJpTexlNFUUDa0tbKGIuiyPM8QIKmaY7jHBwc7O/vh2H46afP8/n8zDkIdMAYe/PmjSzLv/71rzc2NhCIoWmhb8bYB2jhXFXVdrs9Ho9N01xZWQFxjOM4m80Oh8P9/f12u/3ZZ59tbGzARtN5w4cTzuR7K/2UOKIoIoSABRJCRAQUyMcYk2fKA353u92Tk5NqtbqysgIWIaityB5UVQVh8DwPjAerIephHZIKneTnkJa2EigbRJCksFOW5SiKfN8H5YLlATDueN0d/xNmh2Udx6lWq9Pp1Pd9TdPOz89fvnw5Nzf36NGjSqUC6AIuNBqN77///ptvvikUCqurq5IkmabpeZ6u667rIrz80tt/eUGqAiAlSZKpRAiJ2W3MuUU4+H2aKkZRVK/Xu92u53mGYTSbza+++mo4HH7++edLSyu2nU2SRJJuSZIkSbVazbKs09PTRqOxsLCQpiZwEcQgyFRVVYS2bDbbbDY7nc69e/copa7r5vP55eVl27a/+uorTdNM0wTJg7FC6MIxxGthTMKmkyTxfd9xHF3Xs9kskgbEJs65ZVmwVJgUWAQldDqdXlxcyLK8tLQkVCgSW2E6YRh2Op0ffvghDMPFxcXNzU3TNMFZfxng0taQ/q9wHlgq6EcYhr7vl8vlcrkcRZHrukEQiGBKU8kjLunnRDb9AsKHhyRJ8u7du8PDw3w+/+LFi4WFBcMwwFVwwS2Pj4/b7fby8rLI1QTfuJM437EwETDkmTNzzgnjSRSzVM5HOfFdT4JHCk4KESiKMh6PVVW1bfvm5ubVq1eKojx79uzhw4fZbJYQIuwJSQ2ldG5uDnWQKIqy2Wwmk3Fd9+LiYjweAwl0XYfihf0tLS3lcrnJZILoDJ92HAc2JMtyuVz2fZ9zLuJXWtw8VcQBESYp/Lu5uXn37l2z2WSMocpzdXV1fn4+HA5R8RH1EYH2lFJkS2n+egfqGGOdTmd/f7/RaMD7Ab1wD5KK1/9VPXegQoAiNjkej3/44YdXr16Be0FiZMZD4G//VfFYSjgGLDiXy41GI0qp53nHx8dRFD1+/HhlZSWKIsdxkPxyzsMwNE3z6dOn6+vrruvi1NPpFHTIsqxf1gfSl0g6QTxgoOljgtXYtq0oShiGStpOCSF4HjRkmiZj7PDw8OzsbGVl5YsvviiVSiJLQEUAaamiKJlMBukkKhrj8fji4uLg4KBare7u7tbrdSgPjovvNxqNJEmKxSLSsWKxCMVzzjVNW1hYgDUjkwC0QDGwP+Cl4zjYj+/7iqbCO4fD4fn5eavVKpVKkiS12+2Li4v9/f1+v7+2tvb5559DLrKuC9QEwzMMA4ITxZ1bMSkKkAZMyHXdvb29zc1NXdehOUF6kA+pqsoYw0nBvsXRRHmPz+o1iIAILK1W6+DgoNPpPH/+vFQqYXFFUVzXFYoXRILNuO8tqMw+gqhB3RzHOT8/n06ny8vL9+7dExwUqQDnHHFgfn5+e3t7MplMp9N8Pg85ozDp+z4eDaWn9wDgUBQliiJVVQl8OGGKosAVJ5NJv9/vdrvj8Xg8Hvf7/VtUgEMLBgCeniTJzc1Nq9WybXt3d3d+fh7mAm4BrAY4RVF0dXU1mUxs27ZtW1VVGH6hUAiCYDAYAEen0ykybVVVO53O+fk5Y6xQKMiyPJlMYOtxHE+nU1mWkTHcSpYxXdfL5XKtVoNlE0LCMByNRoQQy7KKxWKxWMxmsxBQt9u9vLysVCorKyu9Xu+bb755+/btzc1Nu92G+uGawGO4jUgJsbgoSSAcwEr6/f7x8THnfH19fXNzs1gs2rYNsgK8hzeGYYjbDcOAA8D18TgsK9xbAIOmacvLy7///e8fPnx4fX19eXmJL0Df2J6qqkEQhGFo2zZA2nVdEEpCCHRMZ8VR3/cty+r3+4eHh5VKZXt727IslOhBy6A7QGAURbZtu66LTZqmaVmW7/tIIOCfKE9ClSxVVxeUFB+hfIuaBv46jjOZTGRZ/umnnxRhZAIGIfd8Pt/r9d6/PwuC6MmTp9vbO54XjMdTQpiIpKLEcH193el0TNNcWFiQJOns7EyW5fX19eXl5e+//16UGGAciqJMJpNGo9Hv9yuVCrJgkbtMp9N+v08IKRaLaFQAWsIwBJgRQpDqF4tF0zQRsofDYRzHpm0xxkaj0Wg0KpfLlmV1Op12u+15nqqqhmHMz89vbm5mMhmIxvc8gAEkgOBuWZau6+hMwIxQLPU87+Li4urqanV1dXt7O5vNAllhbYQQkA2UdQDMopaL00FneI2ABQGK0nocx/l8fmdnZzqdXl5erq+vZzIZ3/cvLy8hBFSRcCNjTNeNXC6HmBhEEYggChyoYk4mk9PT0yiKFhcXK5UK57xSqYApilQGmazjOIyxXC6HFZIk6XQ6tm2L+ivn3HVd6EjTNBwK2SGfAS0MQ81lHcdxJtNisagoys7OztbWFgoX0+lUSaOxAGcgP1Llubm5vb0927a73a6iKJIkQzoAJE3TXNc9OTmRZXl3d7dcLh8dHX399dfb29tPnjzpdDqj0QhgiYp8kiSj0ejs7Ozs7KxcLj9//hyag/Ppuj4YDJC6olCJfoMkSeBkh4eHg8FA07Risbi4uFiv13O5XD6fB/VGRhzH8XA4BNQ1Gg1CyObmJmCgVqstLi4ieIl2gmEYsiyPx+N2u00IAWiJ3YJBcs6bzebV1ZVt29Vq1bbtIAhQOEWuYFlWGIa9Xo8xViqVgJGCQUMf0qwED+qGv+Bn8EloGhUWqMeyrHw+n8lkkDbCLOAJAJv3798zxvL5vGnbMBfP8xBqDMM4ODi4uLgAIwcTWF1dLZfLkiQhWAsDvbi4SJJkbm6uXq/btt3v92FtsEjs1rIsVCc8z9M0bTQaybJs2/aHKM8YYyybzb59+/b8rPHpp58iF06SxLbtTqejCDwUgZVzTqmsafJ06jabl5zzxcVF7Bj4CVSHgDgnvd6g3W63Wp2FhflCoXBzc3NwcBBFUblc5px3u11N03K5nGma4OO+7x8fH797965arS4sLFQqFd/3XdctFArA5Ol0GgTB0tISimGgDgip+Xy+XC4DtNvt9vHxseu6W1tbe3t729vbpmk6jtPv909OTq6urmRVzWazsLBqtXp4eBgEQaVSUVXVcRxIEAqGyjudzmQyyeVymUxGZB6iFEwIaTab4/F4d3c3n887jgObkGW50WiEYVgsFt+/f39ycrK+vv7RRx+B/sIybnM0SrEaDBG8h806Cqj3IvocHR1B98io+KzHiooM53w8HlNKs9lsfzg4Pz//xz/+EQRBsVz+6KOPPv7440KhAMvwff/i4gJ1Xd/3O53O0dHRd99997vf/W5raysIgtFopOt6LpdrtVrHx8elUgnWNplMwP9833/z5o1lWe12+/r6+uLiYjKZiGD6hz/8oVKpZPM5RVGSKMb7IB4XFxftdtt13aWlJVVV+/1+HMevX7/O5/Mfir0C6mRZlWW52+12Op1sNlutVkX3EKVUmDmkeXFx0Ww2i8VitVoNw/C777774YcfdnZ2VFU9Pj4eDAb5fH5zc5Nz3u/3Lcu6urr68ccfQQoVRZlOp2j5w4JHo9FwOGSMoVCE4hylFM/d2tra3d0FWmBEQLTggFWckel02mq1RqNRpVYrFotra2vz8/PT6RSmDzsGlMIpwR+CIEAGs7S0lMlkRCkHvUhoq91uW5ZVr9cB2FB/p9P517/+1e12bdtuNBqyLNfrdcQdUWCDbG3bBkOF/+AFmRU7QL+CIHj37l2/3y+VSgsLC3Nzc91u1/f90Wjkum6xWMRIhGVZMMS5uTlCyN7e3tHR0Q+vXg2Hw+l0WigUJElyHKfRaEwmk+Xl5Y2NDQCS53mu61JKB4OBqqpIWcbjca/X6/f7Ozs7xWLRdd3JZJLNZg3DGAwG3W739evXkiQVCoW9vb1qtYqPgiCwLEv4LYtvc0dFUfZfvnQcZ2lpCQQAqm+1Wq7r7u7uKmlsQ1yH27VaLc/zNjY2MpmMquiaaniehzYZPAOVm9PTU2SaJyennPNSqbS7u/v+/fvr6+v5+fmtra16vY7qZRzH+/v7p6enV1dXCwsL19fXtm0nSVKpVOD6iqI4jgMrB+DRWSdRZAnT6RSaFgQZxAKu0u33fvrpp6urK1VVV1dXt7a2arVaFEXX19fQRKVSIbNCrihGxHHc7Xb7/X4mk5mbm0OIQYIGyjyZTI6OjhhjGxsbtm0D+Tjno9Ho6Ojo7du3CJf9fn9vb29tbc2yLDKrreAUrut2Op3BYIDcMJPJFAoF0zTBLCVJ8jyv0+lcX183m821tbWNjQ3LsjzPA579+9//bjabhmHUarXf/OY3y8vL8MMwDMvlMhrQhUJBUZTBYFAoFECe2u227/v1ev3BgwftdhvsYmNjA21DQki5XO52u/v7+71eD/wExSkApKIopVJpe3v7+fPnpmnmcrlsNosvgANADo7nimYmiOb5+bksy5988km9Xh8MBpeXl0dHR4SQ+/fvr6ys3BocTZXsQSP6/T44JjJnuDUhxHMD0zQnY6fTbZ2cnJyenrquK8sySqBxHEZRNBgMKpXKzs7O+vp6qVRijB0dHb1+/fr4+BhV7/n5+SAIisUiZiVgUkmSDAaD6XS6vb0NOpLOxvEXaSMYJHAI1XBsHvDpOM6vfvWrhw8fFgqFKIpuM3ZC0OQhs64LIp1hGDc3N+/fvzdNc35+vlKpybIcRYkkUUXRHGfCGHEcp9m8LJeL6+ubsiy5rq+qPAiifr93dXVDKf3ooyeMxc3m5fr6+twc1Bbquiq4iud5b968ef/+fRzHCwsLq6ur+Xxe5AqI8q1Wq9VqlcvltbW1UqnEOT84OLBte2dn5/79+71e769//ev19fXV1VWtVkOBKUriIAguLy/fv39PGCuVSuPhsNFoJFHUHw4vm83a/Hw2m+33+2dnZ0dHR+iiZrNZqMx1XcRKSZKePn2KXAr1hziOx+OxJElra2uoccZxfHV1hd2inA6CRBgPAl8UQSVJGo/HhUJhYWGh2+0eHBzc3NwoivLgwYO1tbU4jhVK+awnxCj90FtEWlEp10zDBqRFEbitrCraYHD5j//3z8FgMDc39/Dhw0ePHuXz+WKxaFnG3NzcixcvLMsyDM1xHFEyQBgFb0MQQTCFiaN8hTJHNptls9E0BC82GzgTLkFmw0KDwSCTyaiq+vr166+//joMw08++QTiC8OQUmqaJsJZs9n829/+VqvVcrlcuVwtl8uyol80r87Oznwv3NzYWFpaMnSLsUSiiiSRwI8URQuDuNm8VBV9ZWWNcCmOmSJrsiwlcfjTT+/PTs93dnZ//av/9ebHV840yOeLScwJSSSqUCrLssJ5nCQslyvs7X28vb0Thr6madlsNpfLgUiA+4MhFQqFR48eGYah6/poNNrf3zdN0zTNer2u6/rq6qphGJTSXq8HzhdFUeD5x0fv/vnPfyZJ8vTZx4v1ha2trVwm++rVK1VWHj96VCoUTk9OTo6PJUK2t7bmazVnMslkMuPx+PT0tNlsFvP59fX1+VpNURSiKJzzJIqSOKacE8biMOSzcq6haZZhgKhFQYCwbhp2zs4xHgtFj0aDbrf9/cvvXr16pSnq8vJyrVZbWVlSFMl1fYX+D61ZNFXEABKiDIIgY1zX9UqlUq1Wnz59Ol+vITnv9Xq9HiuVSuvr62EYTiYj1GxVVZ2bmysWiyLlQSLGZvMjSNbAtCzLQiVP7ArsO71J0a4gs0p3p9N59+7dZDK5d+/e3t5evV73wxA1J9DQjY0N3/dRWEIgk2XZGU8ajcZwOFxeXq6Uaxk7J8tyGCaMJZxLhHDQR88NLMsydIsQwhn1fY/45OLionHWLJfLn3/2m2KxGAZxPp9fWlxB1TQMQ84oinzwLlQKGYtRZ0FUArYh/y0UCvfv38fGoijq9/vD4XBlZcWyLDCNXq+HDAwxNI7jRqPx9ddfv3nzJp/PP3nyZH5+fnFxcWVpeTQaddsdRVFkKl1eXr569YoQ8vjx43q9ju1dXFycnZ21Wq1isXj//n1k7hAsMhhR+QONRr0CMZrOuqKZTKZarc7V6plMxrR0lMcJIV988cWf/vSnv/zlL8Vi8f/+7/9Tr9dRHEZ5QUwm3hY5KaWEJIQw5FBRHBimhuSUMUYIn04nuq7X6/O//e1vbdu2bANcVdO0TCbjutNWqzUcDsHbstk86vXYXxiGyLDAN1GswnPBzzzPg2kC3tJtIvqL5jcSQNM0R6PRd99912g0Hjx48OLFi0qlEgRBFMei6Kooyu7u7vLyMmoWlmW5rttsNm4ub3zfX1xcXF1dzWYyhqkRwgllgo6gS9Hr9fL5PJwN5oIIGEXRzs7O6urqjz/+eHl5iYwsigMxr6XIStqHaWqaEv4Gan94eLi0tHT//n1FUfAsSZLQ6wTC9Xq9w8NDlNNM06SUggvWarVnz56BLYEKg7Z3u13DML799ttWqyUpMozg8ePHk8mk1Wq9fPkSTTnQ3Gq1CmYmbkdyIwo6aLyCkHDOLctC2aFUKuXzeV3XLdsAn4MjPXjw4I9//COLE6RKopZ+2zWhqREDoVQ0CW5uboIgqNfrruv6gTsZO3ESZuycqsmUUMPUJJlMp1N46qynqSKjFMmHeBLqCFAbOK80u0BlxuMxJuSQJ0K7InSy1FQImU324Tv9fr/X61UqlWfPni0tLaELJLAZA67ZbLZYLJJZ97Ddbp+cnHhTb21tbX193bIsRZZFsCazERiEbM/zkL0ihwiC4OjoqNFo1Gq1ra2tJEnQFahWq+iDIZQLVxElVpQBoEgQOMdxbm5ukN6CjM7Pz+fzeWhakqSDg4PRaDSdTtvt9r1791ZXV3O5HCphqqpms9mtrS1UZYGLKIA7jpPJZJC7PHny5PHjx3Nzc/1+/+jo6OLiwnXdubm5zc3Nubk5TdPQF0E6KXBOjDVg85lM5vnz55RSFCmTJHFdV3RoUJYXZXDD0CRJSjjRNA2lSvBF0HSFkA8dOlEBliQpk7E4T0ajAefLskz7/W6/P1RVuVQqEcKCMCSEue4U0MUYm07HjkMF5UQqIEb+Pc/zfR8tVFGkFdXjdCqAYUDf90XzEYz1TjwVsAe29+DBg1wuVyqVMKso5i9kWbYsCzEOAY5zfnNzc319rSjKxuba4uJiJmtRSjnjoqNPKGOzXp9lG4Sy8WTIeJzL56Io8nzH8x3D1LbubczNVz3fkWSi6QqVuKYrKFMDI/FQWaaapiXJ7Y8qgHMoiwBmBoMBav3lcnl+fh7Eo1wuG4ZxdnZ2fn6+urr69OlT8H3ICgTOMAwUnNFKxkdAPsMwXrx4oSgKbnn58uXR0ZFhGKVC8dnTjxFDZFn2HJcQoquaKitRFElUYowRxmUqccZlKlFCA8/XFDWOY1lR3KkTyD4cUiJUN0xJuv2mrmqU8igKmSKjahYEAaEsYVEc386u3uKnlJreJrO5TYwJfPvtt+/evUMrybKsarUuy5RShTGmaUaSJPBm1JxEpIMrgKsBzGzbrlQqsDywQ5BC6IbMUmOUs9GRFA2i9FQSSU3j4AI9qlarlmUFUYgOehiGPPX7ALQfsJnxeDwcDlEBKeRyQN84jimX0scns8aAbdu6rh8fH1NKUSTSNG1nZ2dzc7NSqSC6mabpuu7l5SXqJsj1ZkVNmdIPsxFSaooTjOfBgwcbGxsgQLAehIharfbZZ59Np1NMba2srNBZT5bPOoGe56FsBAWLxRVFQTuk1+s1m81er3d+fm6aJoZ9CoUCRIG4L4I7Wi8C25CuQTWi+yem0vFQAAEawaqqRlGQzWbxHVApVUMrJRFjL/Tvf/87Tw2ZCdgYj4fNZrPdbgdBUCgU6vV6oVDAXg3DABgI7JFlGbP8Yh1pNpd2x0RIaqyIzS7ka47jDIdDxD7cCCSAUYoYLQrUdDZwkczm4P0wAMkghKi6zhhDXwWJRRzHk8mk2Wzquo7eIpsNWcVxLJG7P+zAX0S909NTz/Mymcz6+rrogojfHwyHwx9//NEwjN3dXfAYwzBE60zQA1HogUUi/jqOUyqV0MuBatGlgMvBjcVgkmhcgjA5jhMEQT6fB21AikNmvU7MlGuahtmfXC5XLBYHgwGYxu2ApCyjPQ3XhSSFPcDlUEXCE0W7D0cTc87YnqYphJDbmQDpw+85cHA8i3755ZdpgxMSZywWbEa4o1CPPPv9Epn9MoUQSQRlSfyA5+dTgemQncx+nCKUAfsAWMKM4G3QXzKbpE2n1Ww2To0jMXILKkmSMEKg+zRDjVO/V+Oc66l+IosTsTeWGoGGBIE0URQBOSAB2ATSC2hadKik1G8oRedeaFGwclgD+v3Cf/B0yDY9JIGapZhRg5GJmR18AXPapmmiE4D9o2MWx3Eul8NIiABgzH0ZhoFyN+xbSBivMaeE44jAwhhD1x+7BVGLokCe/fpBkj+YE50NzBFC6JdffknvVkYYop6iKIp6C7DCTWkqW7xl1lySPvwa7MMUJCEIUj8j+3egTvyF5aVVKMyRzPKGO5ew4A/vUCIM5e5Tfz68CcMSg4WSJFF+947Z+hKdDRQJc7yTwfxP+xGLS/9tYlYse8e+hW6kWbOfEAK8jGe/QENsAboIg8MXUOAEpQN6YeYZDiMsG44nrIGnxnrvpI9klqKJwCWos4jvM8nEcRxL8l2eLcI0IeT/A77pw2hAgqOEAAAAAElFTkSuQmCC"
( 2 0 2 7 - n ) ( n - 2 0 2 6 ) = 0
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAH3ElEQVR4nO1c7ZmzLBM9+15vA2wJbAmkBFKCKcGUgCVoCVpCLEFKCCVICVICzw8TJYomZN07G9fzKxlHvg4zwAB+WGxYM/736gJs+FlsBK8cG8Erx0bwyrERvHJsBK8cG8Erx0bwyvH/VxfgMagERoFXy6SmjzQPfkcppD+k/W31okj5hO7He0SyVAJleoJ1QcTziWUJzafawwMjldHKAHikrcK0F1LXRykE8b9i3wVngF9+1gSInk2niRE1IS9UQW0Vpr2YugCrvW+8D8G2Jzj9Rs9s2BN945yTgCzDtBdST0HOPvW3JLgCQJ9MhYMG2e8FeVCfCtNeRj0C8VXsLWfRPKfR6blXE4l8YrCaBftB7WXUU2IOPvnjHefV6C34eVRPJxLWVoEtu4i6AMRY+pYW/DwyIHp1GX4KMVCYkfQewVqqnynOS1DKFRNMGUw2knoIVoePj4MCAJN8fe13n8mPl+1foQT4MyPwe4ADxUg4jmSVBwClrAnKowEAk4VEWZaHVAbMtTtloDXvQhWmUAaURQPmSgXCGSCLEqKtgCmDJzTvBAaYcuigRhasj0SkgFFIDoir5syBbOza/xmSr4MG5GfZS3b7/TGTvYKJhSDJ1417Sj6PgN7tymMWW5K140wJgP6jcr8ADIAcCkcWnJkzMwnAjgU7UYClO0AFRPbmkUwP6anHuPRBRTkBIA5d0WOuM90nKGsCgEf7RPcB5mPBKgLEu0PkxK81Vk0wBTBu3sGsuoaw9gTQHKy5SIAqYA4/j5me4snkTBBffjbMWeGk3YqgBhGdLL8+F0B9/XG2tj73mXvDPQ/A01aLaS+lTjzyoSCnjbUCYOQaF6nCMr+DMIKZE51xl7BVR3CKK68NwC6P+5/VTdCafaMq70AwBzCMZg1ddBy3dq5QXSYtclG3lk4P52MPnSjE3dTJ3zX6mRXh3Yqu7OSsHXgvWNOKbwrD0dS7HywBRFdFNdW2TyFoElvezzpWRRx3/3TbFfsR+s6aqNCTj+KVDNY+giWAfmWkXjYxkfqBvpW7W/cXgh9e6pajSWcHvmKCFZwOrMyiFhyC6dYfQEmjoHrnHyW4/FnW/bwjJgl2//zu4ECRaRoJRvZdh6BRqVpjlsDc0Y9oumYrMeApghlz/vxqG1AHTfJ4IMy1Sk4AVAYxV/rheyuEJxattRuRl8sa8P5jEg97ZBdqr0nl4SkqD6XM9kjdKOtarHIOwzp6CJZwCDb6dR76Ac9h9gancfkKfjrTIlOivnHQFO4Me33wReo8LloDtFOTGBIsjVLRxWZUAjihQJMpE12aNDPfXmhwYiDnWS4N2K3GXnBAMmeQ6UHRTbRXCe1xUn4L7j20ctkG8PmxP2TyKiml61fVVybVRaCSbOczlpmg55jK2J1JeyMk7gzBzc4fTmGTT+7C85o6fB4nUvOJw9RntCerYODxemOCjXJtVg0MuDkR9KIb/632ee8Qabs59z0IirKrzXgv+1Lea/YOwaQYb4yirf2T0SzlZtXiUJrCewrKqx2oPqPtTf0qH/utkSFVuEbqL2HPwUEf4ZxopE6A34rUPRYUe08IBcLZbDgTgFzl+TXxHN0hSS6AylpSt2LGOeeci9Q9LsyePZLVcABIXVE7NHn3Ljzageoz2t7UrbXWCoxD0Z5jsy6B9oyRVxV9/L4ZFsJhtVqCYHumiBtrrU3pGUB0qqytq5wBLK+aNse4sdY2UWopoibn14J0YH0FcqeTPIymysVlTOLi1CVWA+PGmdQOVJ/QnkzdWmstR2cOPcYEc3cDJh3bOL8hEcNnXabLbDI2glAhBOW1vXocAbSTicpaa3MKKkRM89bIeWOttVWE1oDbAzq9l6HAKbQIgwtRnTwG6LiOU9qB6n7t6dRta27j2w13dqnifg+ue6NnTgw9Hu0tun7CVvyoUpHX1lpxqirf9YzzSYhLiao299y5nNLkFKR77fSNOy/jjM9s7BKXUg9M3E4dm71DMB29dHYcfTR86nQqsYSHfg7V7eWFhjgDVvT8lv8YZ49LXEw9MHHbEO+djXmCmxv/Zq1tpzXX33TwtO6fNdR7keKfIBr0LeH4mYYtcHy+S4uF1DFMPTBxa4X/ctL8uehxmMNdGY2iXM5CO9NT1xl/HmYmJkkqIo/LZCN3pAqoY5h6YOJAkZHKF3KcJ1gBhI1EtP95S3D/TGbRNy7wfhN0sNhVbilJzYqFDnqLMArC1AMTL45+fu8cBeLjdSNm5ljdMH8mgf5lUdTkZuTIB2NTE4P779K+LRoxWaW7d5PGBnxFOYoWdUGlPU4vvEBAK3ZMrmXRxyO7NQaSV3o9lzUAAFmRVhPD0vw3OiigDIHpT3IpXHiUmSEGGkDBnMglAMgDOb00pM/ORZFxRqnWSrLRbjF4/cKT/D+Bye833PtGh9oBNEKJ+ipJMoDEgNRxmiVARJXpDCTJQHJTSv5K+71ASw3FwNiKd48ewrxzbw0/7scw3p5hpKKxbUyJiP5hwwCA5Z6ENrwId7+yo4y7BWU+Rap1t4Oo9WB/SipG/7rJ/C7c/U7W7SSrwM3+8IhM/qvPb/1FBN7wL57dMN/wIoQRXOhVn2laI8IIlgG3Bjb8CoQR/LpbDhueRBjBDPEfOCu+KrzJx0g3PIs/9p2sv4eN4JVjI3jl2AheOTaCV46N4JVjI3jl2AheOf4DUnr2yy3S/7gAAAAASUVORK5CYII="
\eta _ { \mu \nu } = \operatorname { d i a g } ( - 1 , 1 , 1 , 1 )
"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"
\theta _ { s , t } = \frac { \sum _ { i \in \mathcal { S } } g _ { i , \tau } + w _ { i , \tau } } { \sum _ { \tau = t - 2 } ^ { t } \sum _ { i \in \mathcal { S } } g _ { i , \tau } + w _ { i , \tau } } ~ .
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAAEy0lEQVR4nO1ay5GENhB94/LJt/bJZ20IsjPQhMCEwIQgQoAAfBjOPkEIKIRVCKMQRlUu39sHfgLEfHbBa2/5nUAS/d40UqvVzIHxP+7hh02sGLeJmY/D7aZgCwe57PjVDsLJ72R4CweJfAMjn4Xcye6PO9n9R+G8VXvZ/g4Oyrwq0r2M/zsc5OkTDxe2wen7zKDMynnIcqf84e8rrWtWuooGnl4NQTMZ5ve/hutffgqp7juoTl7kfQIL/0Csz59BQGqKtSEkUbw+gaYy6t/+HK4VQqrQQdb3I+CIMgCuroLuOz8khCt7ps/Me0dFJ+ABryXYOrXjFLKFejUieX8J7kzYFW7zsjgD8BlgDUEppUQy6V7JNXwxyRQd5TlsnisTH76Ocz1cWkO9gFXeFok9OmFFoFO8nJWV6ytlssQk2nfuigpQAMTI663S5woxkNbhre3u1KPczWYAkIyvmwY6V1SjgDXeTvSVSIo7A55A/b7aFYlBCYoEcA4kvelcBpNpkDDPLJpBbLcyrPCY/QDrIWuhmlmjEqVoGYokEPCAV2BufoBz4yt2Xloft9NmUZZiZmJB2pcXwJW1lrXrBHsLAmSpgCDIxDPoYbq2j5pCydN1EkbOPq2Puu7VWmclTRp9eQkFdLx4gnyCgtLSdePOQr41ddxBpQb8SXkXCV4xB1kAUOpUKlt1P4y8UgC9HFUAKONVNfGPLSuFcjygyOu80U4FfIgXMLZCejLdS2UIM3dqm395L4CStImlm3e2+cvxOL54mwJAG1VmZ69jK1/feaXTFyfIwc8PT5HGUUAQzWbkh/BmVroxAkC3PImwXIn2eEkAtPOKUMeSqXt5EFEx7H4m2Afb4AqgjSF557Y7lmZ2U5f5Sj5uDAWskK9ljwtOnZGcLTBnRJ0AqCsA+lQIHXkw5qDOzjnHkXIUieheBnwbXmaGXj9H15f2KW+SZSO8SVQoYOCNkd+L3ioD0C8rv5zgQtPZE5wgAKW70FwSAIBHNAIVMzOnFbOWgpmg/kDCzLlomFlf+Ck0WophbKNU+JjWzCkAqNtVpkFH18hXmTKn1SDgveVt1HPczI1STXt1yZu8504Akd4mMpiZcmb9zsycK5JVSz6hCh004JqEd7q/uCXLoczMt4tunlXPWnMlmqappGYRtA+NLOYKbgnfd9C1ua70DLqqnJnzPJTBzJwKZsXMrCvmSrTkE6powUzo4DRS9nPaZ4uA0OLk/DGLd0XhIJVKiJyINMKJmYJV3kDBWk46rEAnAMjFsNTZNoXwDqAEbhFJ40Fa0liAGLY+t6KzzCWofKGqqCkj+CQtZVDm6BthpKeJgjXeiWAAd6tmuqitdAuRUpbtMSwva3J5Rx5iZReLbUlrwTghQJUrnVF0Pncu0ti3jgoebQJdPdFksU1ogEb0vJUUCQEA6YgkYJN6EAFwz9dF/HBuiE+6eKu1a/a6emKb6z+PTkaaTZTnC6qNCmbmiWXQIv3gB5B5EtOjrye2uf7T6GWQXj41oTps8uGwUHt9VHiInxvp324AjukO1b2NPhzWX+efsZ5o9tGwhYNKIeHqx+P2gCXYWto+198eGzioPv96OLx90Rwa6okW+3zd3SYGfSHcLOHcGv95B+2Nbf7d8Y3xN6iilR0ZklOlAAAAAElFTkSuQmCC"
\Gamma ( \vec \mathbf { x } , t ) = \frac { 1 } { 2 } ~ \mathrm { ~ T ~ r ~ } \left [ \mathbf { g } _ { t } ^ { - 1 } \dot \mathbf { g } _ { t } ( \vec \mathbf { x } ) \right ] = \frac { d } { d t } \mathrm { ~ l ~ o ~ g ~ } \left [ \sqrt { g _ { t } } \right ]
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\begin{array} { r } { \int _ { \widetilde { \Sigma } _ { \widetilde { \tau } } } \mathbf { J } _ { \mu } ^ { N } [ \psi ] n _ { \widetilde { \Sigma } _ { \widetilde { \tau } } } ^ { \mu } ~ d V _ { \widetilde { \Sigma } _ { \widetilde { \tau } } } \lesssim C _ { \tilde { \tau } } \int _ { \widetilde { \Sigma } _ { 0 } } \mathbf { J } _ { \mu } ^ { N } [ \psi ] n _ { \widetilde { \Sigma } _ { 0 } } ^ { \mu } ~ d V _ { \widetilde { \Sigma } _ { 0 } } ~ . } \end{array}
"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"
\theta _ { 0 } = [ - \pi / 2 , \pi / 2 )
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"
\frac { A D } { A B } = \frac { D M } { B E }
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"
\int \frac { d ^ { D } k } { i \pi ^ { D / 2 } } \exp ( \alpha k ^ { 2 } ) = \sum _ { n = 0 } ^ { \infin } \frac { \alpha ^ { n } } { n ! } \int \frac { d ^ { D } k } { i \pi ^ { D / 2 } } ( k ^ { 2 } ) ^ { n } = \frac { 1 } { \alpha ^ { D / 2 } } ,
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{ \sqrt { 1 - \sin ^ { 2 } y } } \cdot { \frac { d y } { d x } } = 1
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m a _ { y } ^ { E } = F _ { \mathrm { d } , y } + F _ { \mathrm { c } , y } + F _ { \mathrm { e } , y } ~ ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA80lEQVR4nJWT25HDIAxFTzJpgBZogRbcQlJCWvCW4LQSl2BaUAmhBUpgPyAGZMazqx8eOnMlce1LAgDvOcYC3Mo+CCGovFmAS6oXjxVmcAaQuIZpA0g15u64MaeU0rWRFHD1NOWlBSLYtgenAekBY2imyPm2BJtVQFCA0z0IqocBMB3yLRBGAgowZ4BnWKJOESieCgD3Z7nvnGjiU66rgoBbyj6K2fvdFQzZPhV7k1FbpafQTvwfiON8pzBq4e9AOJT4efQAWsHbDvAohSj9FxW1leuXLy/q4Nm+8NuUTP71ZH0BWPuVB+ynKiinc0ytwkn8AlXspf73q3OYAAAAAElFTkSuQmCC"
E
"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"
\alpha \in ( 0 , \frac { \pi } { 2 } )
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\pm 7 9 . 8 5 ~
"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"
\mathrm { s _ { A } ^ { 2 } \mathrm { \overline { s } _ { B } \mathrm { z _ { B } ( \mathrm { y _ { A } \mathrm { x _ { B } ^ { 2 } \mathrm { \overline { y } _ { B } - \mathrm { x _ { A } \mathrm { \overline { x } _ { B } \mathrm { y _ { B } ^ { 2 } ) + \mathrm { s _ { A } \mathrm { \overline { z } _ { A } \mathrm { s _ { B } ^ { 2 } ( \mathrm { x _ { A } \mathrm { y _ { A } ^ { 2 } \mathrm { \overline { x } _ { B } - \mathrm { x _ { A } ^ { 2 } \mathrm { y _ { A } \mathrm { \overline { y } _ { B } ) } } } } } } } } } } } } } } } } } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA0klEQVR4nO2SUXHDMBBEXzIlIAoyBBmCDEEUSsGG4FIIBBuCCiGCEEGIIGw/pCRuZtz0u9OduY/Tvdm9m9FB/Kzji/kfA4YBoJ/2HSxA8rtAdkBmFyjZAcnt7pB4AXx6gNXcngvkJwdgzQ5O/TCU1DF1dfLWHEwxa4IPb86rNSkwf4tYLV2PZXIu5OTqTU2SpHG8RukaJel9kexFCpIkVcBH3WWjzlaKS22Pjx3vB5ScS0lhG8HGYXSzfJhvbQOWB6BLq22EL5sM26rq8P/tfwd8AanbnFivpyvUAAAAAElFTkSuQmCC"
\mu _ { w }
"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"
{ t _ { 0 } \leq t _ { 4 } \leq t _ { 3 } \leq t _ { 2 } \leq t _ { 1 } \leq t _ { 0 } + \tau }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAlklEQVR4nO2SQRHCMBBFXxkMxEIsxEIs1EItNBISCa2ExgISWAlEApWw3EhgMsCRQ/9pZ/fN//+wg/JZpy/3A/gVOD8nKchsAPZUto5DcCMBAGNcL8LWpfgmQ6vu7qqqcVtss2xKSvIOghltk/DioPOkN6saY9chgV/J/q1CBVYoBgy7uNwDRil5YeKSXW5KDMdP/g3wAOMzVYuqolSiAAAAAElFTkSuQmCC"
3 d
"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"
\Delta E / E
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA60lEQVR4nLWTUZHDIBRFTztr4FnAApUQC1kJWEglNBKolVhoJWCBSnj7kUAgA+3sR98XgTM3l5ubk/J+zh/O/w9cfo+EVrNAqHcOwAjuHRDgKFF7mAHufQ9RrIDErsL8cg5e966CMRoA0zPpmVQd4DuAlaj6AGwbWNYIBmBpAuOagAeGFhAYN6tVWDvgkvCNMu8MRLF5VUqci5C2lYxV3ok0ezyBIu8EeKbyPuTHBFiKT7QUeZO2qp6YPW+SaFUTv0uw2Rq0Gsl5/2xNkmtVAvOEecjXjHLsOgCP/Iqpeb76Jplujarq6fs/7x/MiANQDnUwtQAAAABJRU5ErkJggg=="
\Delta
"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"
f ( { \mathbf { x } } _ { 1 } ) , \dots , f ( { \mathbf { x } } _ { n } )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjElEQVR4nO2SMRXDMAxEz2UgCqaQQhAFB4IphEILIRRCwYHQQggFFcJ16eD4Vc6SMdru9J9OwwWiP7eD/QW4wDjuNZt5CKzWLWBxQqmNNuKZFGsnYhMjUicizeQQfaBEkhlbZYVdYe4C4PNekvPDrCRZMDkRFgtJGtQBsvw8sb+AApnkS1GfCFerTwK+FOgJr+E6MlQAAAAASUVORK5CYII="
A
"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"
M = \mu \exp \left \{ 1 - \frac { \pi } { g _ { R } ^ { 2 } } \right \} \equiv M _ { 0 } .
"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"
0 . 6 5
"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"
Q _ { \mathrm { c r i t } } ^ { \mathrm { O R } }
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"
P _ { 2 } = \left ( \begin{array} { l } { \gamma _ { a } ^ { 0 } E _ { 2 } ^ { R } - \gamma _ { a } p _ { a } ^ { R } \cos \theta _ { a } } \\ { - p _ { a } ^ { R } \sin \theta _ { a } \cos \phi _ { a } } \\ { - p _ { a } ^ { R } \sin \theta _ { a } \sin \phi _ { a } } \\ { - \gamma _ { a } ^ { 0 } p _ { a } ^ { R } \cos \theta _ { a } + \gamma _ { a } E _ { 2 } ^ { R } } \end{array} \right )
"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"
\begin{array} { r } { D _ { A } = \sigma _ { A } + | 1 \rangle \langle 2 | + | 3 \rangle \langle 4 | , } \\ { D _ { B } = \sigma _ { B } + | 1 \rangle \langle 3 | + | 2 \rangle \langle 4 | . } \end{array}
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[ \hat { q } , \hat { p } ] = 2 i
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABFklEQVR4nO2VW3EEIRBF76ZiAAtrYSyMBSwQCWMBC1hgJKwFIoFIwMLNB7A80ux+p2r6t08xdR9dcyNez8eb/QX8O+DrfEGQJKDMg/IUAMD9CEsgHPfCRBkgGY4NALDZKAMko83M7pIMkIx2BwDoxowAyeQ0ACjjF0BmFADlVgBJ+h04SPJTdO/nPL97J8cJWU0xZQaKZ81WCNunghHwJvtdt9H2KrxRg0PJ6aICJFm2W/Uve9UBQ0rtsaai5RymT9U+TCL6OJ8qov0rsQGxmjdtK6DfdRKAvO0AZXxaA0W6dgJTVJSiCUwLK7lc2H0s/hB3LX5/HHNhYjmyzQYZYHeIfgGQfBg1xC2NN+ogydv1v7iAbn4BzvL+RNPExZYAAAAASUVORK5CYII="
\gtrless
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAxklEQVR4nO3SUVHEMBSF4RMGAxcJsZCVEA1IyEqohVq4FrBQCxcJi4RY+HlI6XS6XeCZ4byeL8nkJgl9n6cf+r8F3i/pVdLHS7pK1zQyKgBuOYoCmOSQG9DkAAxAxzUDLQO1Q9PMHkBoAmwsY1bjALACbh0A3/odqII8r7uVfg8mhZfRW976HXiTWwB0swBvR3CTJoBeLCDseAvQOKDJaq2mOILFgpNsoNty1q/AlyX7ab+Cqq/J3uVZklRLyw+eO/1/+9+BT3u7ZK1ETu/0AAAAAElFTkSuQmCC"
y z
"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"
s : 2 ~ \mu m
"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"
X _ { 0 }
"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"
0 . 2 6 ~ \Omega
"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"
P _ { F }
"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"
f _ { \theta ( \Omega ^ { \omega } \omega ) }
"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"
\phi ( \boldsymbol x ) = : \mathrm { ~ A ~ r ~ g ~ } \sum _ { \boldsymbol { \alpha } } \prod _ { i = 1 } ^ { n } \tilde { \psi } ^ { \alpha _ { i - 1 } , \alpha _ { i } } ( x _ { i } | \boldsymbol x _ { < i } )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAYElEQVR4nGP8z4AfMBGQH1UwUAr2uKZXCM1CVfEfCewWPPP/v/EZZKH/KApCy///vyv4H7cCht3//5e7oCpAcYMgA8PZ1cbvUZzAiJyiOle7MAjuMe7AqYAK4TCqgIYKAHtMY+A/o5xxAAAAAElFTkSuQmCC"
\alpha
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"
\begin{array} { r l } { \int _ { \mathbb { R } ^ { d } } v M [ f ] ~ d v } & { = c \int _ { \mathbb { R } ^ { d } } v \left ( \frac { 2 \gamma } { \gamma - 1 } \rho _ { f } ^ { \gamma - 1 } - | v - u _ { f } | ^ { 2 } \right ) ^ { \frac n 2 } \mathbf { 1 } _ { | v - u _ { f } | ^ { 2 } \le \frac { 2 \gamma } { \gamma - 1 } \rho _ { f } ^ { \gamma - 1 } } ~ d v } \\ & { = c \int _ { \mathbb { R } ^ { d } } ( v + u _ { f } ) \left ( \frac { 2 \gamma } { \gamma - 1 } \rho _ { f } ^ { \gamma - 1 } - | v | ^ { 2 } \right ) ^ { \frac n 2 } \mathbf { 1 } _ { | v | ^ { 2 } \le \frac { 2 \gamma } { \gamma - 1 } \rho _ { f } ^ { \gamma - 1 } } ~ d v } \\ & { = c u _ { f } \left ( \frac { 2 \gamma } { \gamma - 1 } \rho _ { f } ^ { \gamma - 1 } \right ) ^ { \frac { n + d } { 2 } } \int _ { \mathbb { R } ^ { d } } \left ( 1 - | v | ^ { 2 } \right ) ^ { \frac n 2 } \mathbf { 1 } _ { | v | ^ { 2 } \le 1 } ~ d v } \\ & { = \rho _ { f } u _ { f } . } \end{array}
"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"
r \gtrsim 1 5 0 ~ \mathrm { ~ k ~ p ~ c ~ }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAyElEQVR4nLXTURGDMBAE0KWDgVjAQixgIRZqoVjAQiWABJBQJDQSsHD9gSG73MBX7ysky+XNMVSG63rcnN8H6mO5dHFf5mfrBBCRRwBtRBOOXaMCMMgOPU2nN4yRM9CCiwMLECXAHQFMcgUFHAIbHAIbPAK1dAhk8AhkWBwCJHAmlD2DQygNH49QGnQKnRqEkEcNSId3EqQSmq8YpEEfGrmCCblPOgeawhqxyhyIMASkbVnv93dAnDfNXH4VM7MXThX2ZtX/f94fXg1egmsYU+QAAAAASUVORK5CYII="
L
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApklEQVR4nO2SSxHDMAxE12UgCqHgQBCFUCgFGUJCIRBCoYXQQrApGML2UI2nbTLJpcfsSSO9WX1GgdjX5aB+AmugD/tAKtsWdD06a/GnmkMa92eYZHAwuL6BMrvBLETmArY3eHfSkTTQMnkT8qptBgegqh0UJG0gxX4BkvQt4siMZb0FAAGA8oy4Q7cuWWsFMEFRBKmugCI2A7UYEGsfxdPh/Oo/AS/UJ4Zszj8x6gAAAABJRU5ErkJggg=="
4 \pi
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsElEQVR4nOWSXRXCMAxGMw4GgoRZKBI6CUNCNUxCJ2GTUCQwCVRCJ6GR8PEArDC67RHO4T715zZp0hagdXYb+38oNCciaVcEFvLVR4Qitbph7js1F/Zp6MVHnp8iwgQ7YwAAQadFJOGiEZUFAGtiEtIlByZ27Uj9caAqmwIAIoJGfXW5CPdSqTfklWT78ECklPNiCiCUtVJdrooJY19nmcca9UKrnxzihvDOj325rwk3VyiuTt9hYjYAAAAASUVORK5CYII="
\kappa _ { \phi }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAs0lEQVR4nO2SQRHCMBBFXxkMxEIsxEIsYKEWioRWQrGSSqASiIRUwudQaBfowIUb7OnPz8/u20kq8b52H85/JbBfZT5B7W+C9rWDi0PXzWIkLrZMeUeSJIW0eDZQ6InPrg2kqEAvKYXVtFsMgZZughy218yeeMgdZGdcMyKcpQuuKK6MDwxIUkMtymYgRUkqjt6bW4Zh9ACu4WgYLWT2ADR+8vYx7q0awM2jMIyq/r/6S4ErOynWgeWW99MAAAAASUVORK5CYII="
N
"iVBORw0KGgoAAAANSUhEUgAAAcAAAACACAAAAAC5YeZ3AAAKb0lEQVR4nO1d752zKhM9z/t7G+CWwC3BpwS2hGwJpgRTgikhlhBLkBKkhFiClsD9oEb8GzBolsXzZU0WwXAcZgYY5o/EAZfxv08/wIH3cBDoOA4CHcdBoOM4CHQcB4GO4yDQcRwEOo6DQMdxEOg4DgIdx0Gg4/j/px9ge/Cr8iGIHapcBx4QSAJAcAABAwKXKtfBHz+Wk/gXcLq7WPkreKIDCwDMycpfwRMCBVb0cZpuWLkteDKE/luAPkxv+hLldpXbgh8SWBSrZKTasnJL8INAjg1NxE0rfwk/CNxUS31UBXpCIAcodbLyl/CCwE211GdVoB8E/mIV6AeBv1gF+kHgL1aBXhD4m1WgFwT+ZhXoBYECwMnJyjXgA4EcCIiTlWvAgwVdAy2VJuongS/1YzglaJ9WgT4QOKWlrqdpw5EvfAy1Kk8FQNl+ZqkHQ+jYUeN/L9NLfSepgqH3cVLTDSq//JOC4frvubD19K/ghwQqWopzIVBprhSZVn4WOQVY/JWk+U5CaERgKoCAba2yLbcy0lIsrr7mCr9XuUiIoAAQ/60uO22SMRhCr/9cAf79z8XW27tPKwMtxeLIotvWr7xCVVtBAaC5HeNt6EvgWWQBAP595dl2Qmi/lR0nQimpajYrYDczRmriTsv6IgOY7k3G2KAVCgSDrzIg0riTve6cQeWPvP57B0Ld53sT2kPolTY2NWPgfLnsethvZdeJUNoMpwlItFWbA2gTKPh3YxoHI3fJHuy38omJ0ISTbK8hVFsHkqfpTXW3a73GaCnGaiuVqAQSAKkIiO0ln7nKRVWIJIy24k/QgWWgTeAtYc27VgA2zIviqwCAuDfWWG0luTQX6aid9zFX+bVCRa294SN8ZUOJN1ebDMgtaN8yikLMV2WplUnYM2KmkVOt+tfUTIbfmD/jw6IVCoweaINWRtiaQJlvZYXGp+E35nOhZ5CbldEAEPMGosVWPoDghCR5XcwcYmQyGRN4sWhh8Vl/V6MV3dCT9QjXv0J0o6kYPnrhTQlMrnSkRldjVgJ1WknOth5jDqfJBaQFfP25dB+E1Wdp63xXApPzKbfnVfEZAvVa2XRKdg04hxJwvYUjMRZAQwKTc3S3Nw8qqjn+bLayK9rHrraZ/hmrQDMCk8stBmBLQfPpORLLrewHRoO8vqrSbebS3pTA5JLVWkHYWW+eVoG2Wxmh4hwQfIPa70VjuVwqssWKzYQK1HDky6xZILgFrWdNMytODXm2XmbZQxq2stJLUwTDvqOZMxJGUUTBHoP/lFnbjTLrfqzMletXeGRRMC49CLFOv++DrR/F36oeGJJzu3egEg8bGlr8BcsAoLomAeFxaNbKF/+J0eFFWgFktGVKfDFRxSFQXNOAFILdSfO7C8FiDbOQpymCgkLQU9iX7f57Qtr1uCciAJmU8jZ701rEzXxITqNSRhSlWSvr50n2R0ly+QAyeaNxKaUMEZQyJ1EppYxAhn0+QsYQ5lKSXJYRob0pxn4vRBgNW3fU/az2rJ2x51S/GTnNutfEoBWXCIxCKSVwujWdnwO3vLkuX8/rRaCZbCdCcxCVwV4vlGSiqgi4aTzj4ilT8dQdtQqsfweDxnvYh0sEklxKCXTCAzCiXC/eXDIEpZTPidAI6jDZW066YsL2jdNCR+OxJb9napCvvUDxfQ8AME5iR10/DXASAAKobt1aGdfdW1V9CVqbtI0XGF6LROFJ5ZpOynIIbUPJBDEQyZyuXjNySAKjUEoZK5KWAbS9zl9IYPhcV2tllqo3qH6gqJ7EVt/dXKz1xeymNYDxWv5+PRiAQtmcz5VrsbzlI00QBk3BphxVN5uoQ2h6eo5i15R27sQ2fcyBVBjxZxh6Ym337no050/GAJAq0xaif73UCRe0em1iGgboDaHBvbtUDJfTpAnyLnIAoCw2GJ4X9zrfR8W1unhbKENdrm5AVBeyCbBgvt27gI0nD1BZUyVQKJvElUkuvskxphyIQp5eLqebrvVy6nHy0pHPVj6ZRSi/TF15Ua9FBTWMYBjcpMgqj55fKSKrEMi79gSCZx0J2UwF0jBMzmmx0Ubvj4btjaB2uzqLr46suCSMMn49d7vautueKrC/CKcQWKmXnUZJ9QKIxdIK9Gk8yjePERZXkey1CfaT4DMqMFHsmengppY3NnEH1NE0gnL5VE13TSfC0JF/Gs/tBqN4rMSW4ZAbIQcqkHQqsNVxJyllDnJvC7eKjz0ZalXgYNt+z5Fv1wvFFbwhuTrPxLIOseiXjkez5yjS7jxIP3Bg+I7oqcBqpA6FQB3cdAJ6wU1d5zcqsLqA9rqq4/LWMpsTtLM1ZTCeHbWCZiJUyqg2IB9z+wtn4ZYEnhQ7OVKGpMYejSIp5YM0s6Jl5+ff235qd4SG/alQdS40q+stI4IY9YpWFmwVZfN8daJ6oiEybsctAlVnQdmznNXjYUkeUk4HN7UMNBOhQ/56k9kEoIwBCGUIgLEAGC0v2UEXPRYDsl5vMYRTBM55gXltAQxeXwbSLfmSWgRPsZSyDBEMOkrthdYYDKV8NJa9eb/qoRtFSoJMytBc0J0i8KasGWXqYQoUkZS3oOwXVrs9pySW9VrgjY6Xi3q9EAIAiaWUsvbNRjsDbCHC07jNSRAxZi7oThEYobMl7ur6XE6CiCn85dktRNjr9jIiNAwRnUi9GtxHf0uFSJ/HC1RcELbZTHOVBE9DrEqLYMVhVTa2VGgmznk/v476e3Elih83+PXfFaqKhYOO54JXLAim/AF30w7YIFCkauKc2bdIs5gtiO8iGr4l38HcbMcmI8YesDWEZhge8PNOMSuYCG6aNUbcPanpjdCTHjQT5+yZX2cc3DS5IxSAy0dtGYeezEDzGJJdT1YeBTfNrAXCZQJtQfPI5B1OVl4IbpoIimjgPYGax5DscKzkUnATn7WcvCdQ8xiSfU5WngtuEvPBat4T+HNU4EJwk5h3Xbwn8OeowIXgpgWL24PzQhfxc1QgEGSX64kAacFu2i+L7xL4o1RgkOUUQPgwOEbCdwn8OSoQAECNtwcdEvhjVOA6eE7gT1KB6+A5gT9KBa6C5wRqJs75dH6dBXhOoGbinE/n11mA3wS6rwI9J9B9Fei5Hzjl3k2kVRoV2ztB0gK8l8CBbptMqzQotn+CpAV4LYED3TaXVmlQ7AMJkhbgtQSOdBvLpqKA+8VEUtSr5TGqy0TpneG1BA50G2PTuSr6xaZiiD4I3yXQ3AukBPsnSJqHzxK4zgukeZPhau684X3hM4ErvcBW7HZMkLQATwnUzMqzVGzPBElL2Hqb+M9EL/RAjeDv5wSZKzYRQ/QpeCqBkd7gN1ds4wRJJvCUwDdxByC+k1EM0QfgtRvxFoI7rpvnHnmNg8DV2CxBkhEOAtdjqwRJRjgINMXmCZLMcBBoiO0TJJnhINAcGydIMsNBoCG2T5BkhoNAFTpplbZOkGQId48ZsY9Lp9zYwnG/4iKMY4i2w0HgCswkSPoIDgIdx6EDHcdBoOM4CHQcB4GO4yDQcRwEOo6DQMdxEOg4DgIdx0Gg4zgIdBwHgY7jINBx/Af031hgtRmczwAAAABJRU5ErkJggg=="
{ \boldsymbol \omega } ^ { 2 } = k ^ { 2 } + \frac { I _ { 1 } + I _ { 3 } } { I _ { 1 } I _ { 3 } } m _ { 3 } \phi
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAyElEQVR4nO2UXw3DIBDGP5YZqAUsYIFKqAUqoZVQC0xCJ2FIKBJaCUPC7QWScaPLmr4tfE9w3P1y/4IgnNPlZHwFVMBxQBjb3nMj/a6nsrQ0S248AhgkEZkuN14/8nTOw8pSBU4DUH1u5IAwhkmKcgu8BsDRvIljmKVrolcrolyZWMjA3VbAq3ibQjwo7IoB7loCW/JnccXGsBI2BcAlT1aC9u+PSflQtCGawEad9MBKJIevezA3nTHQO4tg1aBZPIn6qVbAfwBeZiYKhAxwjXYAAAAASUVORK5CYII="
a = 0
"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"
U ( x _ { 1 } , x _ { 2 } ) = \frac { \hbar \Omega _ { 1 } ^ { 4 } } { 4 \Omega _ { 2 } ^ { 2 } ( x _ { 1 } ) \Omega _ { 2 } ^ { 2 } ( x _ { 2 } ) \Delta } \frac { [ 8 \Delta ^ { 2 } ( \Omega _ { 2 } ^ { 2 } ( x _ { 1 } ) + \Omega _ { 2 } ^ { 2 } ( x _ { 2 } ) ) - ( \Omega _ { 2 } ^ { 2 } ( x _ { 1 } ) - \Omega _ { 2 } ^ { 2 } ( x _ { 2 } ) ) ^ { 2 } ] ( \Omega _ { 2 } ^ { 2 } ( x _ { 1 } ) + \Omega _ { 2 } ^ { 2 } ( x _ { 2 } ) + 8 \Delta ^ { 2 } ) } { ( \Omega _ { 2 } ^ { 2 } ( x _ { 1 } ) + \Omega _ { 2 } ^ { 2 } ( x _ { 2 } ) - 8 \Delta ^ { 2 } ) ^ { 2 } + 6 4 \gamma _ { p } ^ { 2 } \Delta ^ { 2 } } .
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"
\varphi _ { t } ^ { \mathrm { s } } = \underbrace { \big ( \Phi _ { x } ^ { \mathrm { p h y s } } ~ , ~ \Phi _ { y } ^ { \mathrm { p h y s } } \big ) \left ( \begin{array} { l l } { \xi _ { \alpha } ^ { \mathrm { s } } } & { - \eta _ { \alpha } ^ { \mathrm { s } } } \\ { \eta _ { \alpha } ^ { \mathrm { s } } } & { \xi _ { \alpha } ^ { \mathrm { s } } } \end{array} \right ) } _ { \big ( \varphi _ { \alpha } ^ { \mathrm { s } } ~ , ~ - \psi _ { \alpha } ^ { \mathrm { s } } \big ) } \left ( \begin{array} { l } { - H ^ { \coth } \left [ \psi _ { \alpha } ^ { \mathrm { s } } / J ^ { \mathrm { s } } \right ] + C _ { 1 } } \\ { - \psi _ { \alpha } ^ { \mathrm { s } } / J ^ { \mathrm { s } } } \end{array} \right ) - \frac { \big ( \varphi _ { \alpha } ^ { \mathrm { s } } \big ) ^ { 2 } + \big ( \psi _ { \alpha } ^ { \mathrm { s } } \big ) ^ { 2 } } { 2 J ^ { \mathrm { s } } } - g \eta ^ { \mathrm { s } } + \tau \kappa + C ,
"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"
\begin{array} { r l } { \vec { w } _ { \perp } } & { = \sum _ { l m n } a _ { l m n } ( t ) j _ { l } \left ( \frac { \alpha _ { l n } r } { R } \right ) \vec { \Phi } _ { l m } ~ , } \\ { \vec { w } _ { \parallel } } & { = \sum _ { l m n } { b } _ { l m n } ( t ) \nabla \left ( j _ { l } \left ( \frac { \alpha _ { l n } r } { R } \right ) Y _ { l m } \right ) ~ , } \end{array}
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\sim
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"
\begin{array} { r l r } { \rho _ { Q P } ^ { B A } } & { = } & { ( - 1 ) ^ { \frac { 1 } { 2 } - \theta } \langle A | b _ { p \pi } ^ { \dag } b _ { q - \theta } | B \rangle = } \\ & { = } & { ( - 1 ) ^ { \frac { 1 } { 2 } - \theta } \sum _ { T \tau } C _ { \frac { 1 } { 2 } \pi , \frac { 1 } { 2 } - \theta } ^ { T \tau } \langle A | [ b _ { p } ^ { \dag } \otimes b _ { q } ] _ { T \tau } | B \rangle = } \\ & { = } & { \frac { ( - 1 ) ^ { \frac { 1 } { 2 } - \theta } } { \Pi _ { S _ { A } } } \sum _ { T } \mathsf { R } _ { [ q , p ] _ { T } } ^ { B A } \sum _ { \tau } C _ { \frac { 1 } { 2 } \pi , \frac { 1 } { 2 } - \theta } ^ { T \tau } C _ { S _ { B } \Sigma _ { B } , T \tau } ^ { S _ { A } \Sigma _ { A } } } \end{array}
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E , T
"iVBORw0KGgoAAAANSUhEUgAAAUAAAACgCAAAAABYyOpAAAAKLUlEQVR4nO1d4ZWyPBO9+52vgTwlZEvIlhBLYEvAEkIJWoKUACWQEkwJpgRSQt4fgItKdoUYxcD9s8BR0LuTyWRmcv2wWOGD/736A7w7VgI9sRLoiZVAT/z/1R8gCPKy+ct2/dP27LGIk0BO5R4oCOlOdWaw4yEe9RFrGPOl6Kl3upE7EeQ50fpACt0705KF4S9mAvsMbhHC/wFLIbCUIogDRNwEqu7YZCTQAI51FgbAANMd7/WBhHpOtBZIfoawznka7DnREgh+tsDMhJpBEDOBBLI5kKVg4R4TrQ8EBQwBgC2dPINoLUF/H/7xEkgAxQFkupg8g8hS4g//Ge8Qbqdhk/Nk8j3S6k/vGS+BbSCY4eBzlz+9Z9QEGkDmKQ36mHgJBIMGMhowhAFinkRAoLFXVeCnREwgk9rsk34SQUpt2E6WGuRnbtW5koQlzbnMtSKMp9fzdq4B8MGEhI0WO4CTun+lEhSM86KqBOixuXZAcrL2QFhtra3ArLUVJdX5LeDWWisAklR2ABETWAHYXV0ruksHkGPzl7cvFtZa0RjUEWfiWwJ3ELUdRMQEngB2fa06D7kU1Fp7ImjtiqK29pgIa621DIfzG7i1dcqOrqdc+8DsnERD0rkJld1cegdQ/JaGTnNdJigNWsdGteJgBQBofZHNhtrSyrmYuSaQwpQGQEpwjp8Ig1QAaBI2pHo0KvJLGMwAlUABm+a8ZUyW0jBq+q/cZ9fvvcCtUVZA6xh6SAHq8ALvhJ8hbAFhLb/8pieO5Git5RA/b2AnDub87gOBNHeYa7is7itgAAKwLufVXPuSu+LaatmRFkw5rXBoJdLPhne3LhGsLPMalEACpD+Vk1wjN73MV9ZyRgBSkNzF4BCB/XpMdzcTrizzZDTOzuwhKEAF9s1lkwEGzSAz8uo9tMI+d9xvYFgLAJdjvsJ5Xn9vVAA7WmtPrPNyKdLaWluxg7XH5mvWLEVik4O11orW/XFgN+gHhwg8ALiMutntrPKeqICKccHxs6woGDhnrLDW2oqBCc6qmqELrAHwZmK9JqXBUG+M3ACHfsS3z3AMWFZ4IuQGFlqD9SdEo0Dp1bG+N2IbSiYwXAaSZo+QZZmng16RQ/jt8d0R79AkQnA5De/N9LJM9BhMqPILC1R77GIJAfXfLxmJQQLJRRyTwaMsMyvkn1vgY/PQew4mVGl/COeSeJVlHoIPx/Vx7aGcMcBcx7h+GLRAih8TNBkCl2WeB8pwOWU8AC4LPJvg3oQuy9yD+U5igz3S5h8gGtr0J6q4FsEPxqAF9ubcLZK348/lMB+BG2sargvzzgeWc5hBZo1hAknrA00GEUsIGAjDdeEuobXXoXYHhMRTt74MWyAFoAG9D7Y7IBo4LRCaIptNGtqVD379/3d4q5f5BxxSuSGnmXjAx6xEQsA5iUBjG08SIRwczUVcQmf6prtVa2idUpSKpAQwCkZxDiMVSFM0Ls9HzZk2jCYl8c1GvN7SnBhOfScAJbjpZxAAUNU8SUDqNtEt7I4KIQiEtQVNhaBIm1cfaVIc60rgXGWNEA4CRUPNLQqgYgcrgKaIQCBEWltrT8DhkNTW2po076xJS+RhgQQe4OpEAFJhbQFystZay8HbehMHbXt5EtDmHl0RhkVMoMMHUsA5g+Q1kPw4JXnsjnTRvVkDgEY+tsDwhnAQyOBOQ1+1fvQ6eC7fQVF+JpwDKDw+YFCo0mjq2TPlsMyqcjUUXjq0n+4cfr5X26ZoG/uj6WBn5wxQd//wxKNtytWlz10tRiNQCQDQ+WZz3WozC+jPEk13YOnxAYNuc9jVhUgoIL9DPmUqtMHBVvbIAbWffJeABCoJkuyK0zFp+jPnBgWRAmBVArg6h/5GQALL9t/KCo7rdqc5wHST3g4wkwvGIYew7D4V+3vL2QugafupKPWouAf1gV0SyvzWrPwyFGdhHuoRqo7bqaS1AaTsYj+jjIIsCSOQ0EBJKIWEBPaMUqDc7giAPJ95d7C66TcagVFBT5ffb2O/Ck3mq7K2PRK2W6IIK9gpJVwklBbTw6xn4OCT7QionaUJgVG33WRzg/nS9Dh5iEQrPnY/trlP70DE+4XvRJZ7CeMt3gLzLVKf3oGlW6Avf0sn0Ju/hQ9huQH31ARYtAWq73aDqweWTKDaGObeCHwnFkzgQ/hbsA80XxoC52bwqZvxl0tgdpmFnroYWfAQvsTUnHmcFrhKwXtilYL3xyoF74lVCt4TqxS8J1YpeE+sUvCeWKXgPbFKwftilYL3xCoF74lVCt4TqxS8J1YpeE+sUvCeWKXgfbFKwXtilYL3xCoF74lVCt4Tz5GCv3MIv6PAOQVu0tCkU5FKVf59AnTWnnO6FwRJI1zJmCr7X8lkyqngeSeB7yhw/hopeNfjgGQD8H5QSnfANodHf3FgPEUK/v5ZmJPhHXnz3cJwRxbfXLa36a1MCgZsegYozWkrN04THBFIxyVwHlIK3oG4BM5DSsE7cC3uC8j8DZVlniAF70AMAufPkYJ3P/xSUX+HW2WZmeM5UvAO9IRBm/NPI14v/jUOz5GCdyAagfPgUvAuxCtw7oExBEYgcP4kKXgHXihw/uHAuLs8TQreAQpAtYH6Wwqch5CCH0vgiwTOHzNbUeDhUvBjWnxXgfMBjLHAOwTOdQ4Vpht+BB7r5C6xu841jCoqcfmXwLlR+vET3ViEVPm5SemNIvBvgXNW4d8slcaCYRSBdwmcs5fLPIUsBd/kuMcSCE1nL3D+1NltCoEvEDifr5L5KAKbH5yT5fPT0C59v9cTOKq5aBU4v8W43hiHwHkDKYHk0snqUmtCmb+c6Hx39I1rbyOAyofHTfbvG0D21Vtp6u1nTjjF/nOOApaPwqiMuFPgvGZNacFWhHSFkiNp+1BYI8wdJ8YR6BI4rxmS9vDYieN1ivDWjv03vRXG+UCXwPlencf12QlmBq2vFOr9Mq/3YxTdNQYLmReX22PHS6PDOAsk1WDbuhxY4gxdixEjW3yHVyBDk2zME28fEXfpPwcPIXDILnmIEtgM8RACGblNYjLSG8Uq3hzhQwgkKVRnbubnmi67F3y/PEcYDA/SjflSSSvEt827ps8v1XX/Zj+/ejMf3JQ3J6boHhMN1bxZytUJA0hR1c01Wllra0Fm2MRVX1e1Jy43H6ZclO8NY0qluw+g00LLc0UpZDrH9Nc2pxTatLGqIkkyLWx9oPST1iCsiaBJ79plK9ls8E8IYEOb4qLcTK5yR6ud9QdyvQPw0QpqbaYXoiLebPgrUgCQ7WpTyulStIteich25s09fvtz2QQ2/JnSo8i4ZAJN26tX+vz04pIJLFsXqHwSb0smULY/66XgEWgtmsDW9XmlLhdMYGnOI9cj17FkArsf5msSbxOzl0tdiQD6k9TN0XeJhCo+reFnqSsRIO+qrkhLlPQwMRZcrgUqep57pWSTlyLLJfBBWPAk8hisBHpiJdATK4Ge+A/X26+U1Vi43QAAAABJRU5ErkJggg=="
\begin{array} { r l } { V _ { \mathrm { r m s } } } & { { } = { \frac { V _ { \mathrm { p e a k } } } { 2 } } } \\ { V _ { \mathrm { d c } } } & { { } = { \frac { V _ { \mathrm { p e a k } } } { \pi } } } \end{array}
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n
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"
0 . 9 \times 0 . 9 = 0 . 8 1 ( m ^ { 2 } )
"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"
y = s
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApElEQVR4nO2TTRXCMBCEJzgIEhYJsbAWsFAkpFaKhCKhSGgkNBJSCcM12zbwuPKY4+63P5mXdcR7nT7kfxF4XhzQn92tAdxz8GuvJTzqKtZSjYWMddDukFf1QNLmktkrgBRaIyaMJGfMVcwAAwrJTtkCopBcTAMLaCDLdWQTEIjGxeTp6h/lBhHZem0eMXGn2ocE3ZZbo9Ku/beAdAeA+98FAOAFiiXe3bcdqd4AAAAASUVORK5CYII="
p