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d i m ~ E _ { i n f i n i t y } = ( s ) = 1 \cdot \phi \cdot \phi ^ { 2 } \cdot \phi ^ { 3 } \cdot ~ . . . ~ \phi ^ { s - 1 }
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u _ { t t } = u _ { x x }
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\left \{ \begin{array} { l l } { \frac { \partial S _ { 2 } } { \partial t } - \gamma _ { 2 } \Delta S _ { 2 } = \left ( 1 - \frac { \theta } { ( 1 - \eta ) M _ { 1 } + \nu } \right ) S _ { 2 } , } \\ { \nabla S _ { 2 } \cdot \mathbf n = 0 , \quad \mathrm { ~ o n ~ } \partial \Omega \times \mathbb R ^ { + } , } \\ { S _ { 2 } ( \mathbf x , 0 ) = S _ { 2 } ^ { 0 } ( \mathbf x ) = \operatorname* { m a x } _ { \bar { \Omega } } p _ { 0 } ( \mathbf x ) . } \end{array} \right .
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YghCdE/iVcYfN8ek/9u2xhJPssm+bv9YbOn82/Bbit2MIQhRkf/z1BP7VGAchsn+V6bolPIF/M6qv7zjp0kWqu5xnPwV+D/yrMQpCVHuMV3kCe+wafgvhsWt4AnvsGp7AHruGJ7DHruEJ7LFreAJ77BqewB67hiewx67hCeyxa3gCe+wansAeu4YnsMeu8R/Vj9q6rgpksQAAAABJRU5ErkJggg=="
\begin{array} { r l } { F _ { n _ { f } / n _ { i } } ( \nu _ { f / i } ) } & { { } = \int _ { k = 0 } ^ { \infin } r ^ { 4 } e ^ { - \frac { r } { a _ { \mathrm { B } } \nu } } ~ _ { 1 } F _ { 1 } ( - k , 4 , \frac { 2 r } { a _ { \mathrm { B } } , \nu _ { f / i } } ) R _ { n _ { f } / n _ { i } , 0 } ( r ) d r } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZklEQVR4nGP8z4AfMBGQH1VAloIwRtfOs2gKGFHjYvWePQyhxqHIQv/RwJlQBkFkPooV71enC4UprXqHLMaCzBEKNT6jhN8NmADFBFcovRuXgnJCJuyB0i5IYgRDkqAjB110D1kFAKjQLmm0nedbAAAAAElFTkSuQmCC"
\geqq
"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"
2 \nabla ^ { 2 } \Phi - 4 ( \nabla _ { n } \Phi ) ^ { 2 } - \frac { 1 } { 2 } m ^ { 2 } T ^ { 2 } = 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABLUlEQVR4nJ2SW3HDMBBFTzwmIAoKhKWgQDAFF4IDIYXgQIghWBAiCBGEGsLthxM3frUz3S+N7tHuavceBAC5yxmoKxZRjvLnFQtAWOogSRcID20Hkmqod2QJqYGwqwv1wF5+Scj/VkAqYwYXx4bNrT9B83a+bGVIEPrVsxQHLDigiGBLOZ9OQ/DX43kn88PZlyS11BIG/QIIr5uaVlRwm+s3/PPU41UESPMOuqkpI3fIY/MMjmYaI01BS+qeL4YM5GH234LQ8hEBhvOxA/KbbAwl1HY+WSDHcFv6xZFKwPqcElU7biLOmdFy3q+8+IpidWN/Ae8rz/h/APMStgaoptnnbSBMs0q4ig2X+de6Ky7aAu7OPw0TtAnobq7pbzWNpIPWTQAxgqs8sAP8xDfQ5pH3xtg64AAAAABJRU5ErkJggg=="
\epsilon _ { 0 }
"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"
h ( \Lambda ) ^ { 2 } = { \frac { 3 2 \pi ^ { 2 } } { 2 1 \ln ( \Lambda _ { T C } ^ { 2 } / m _ { s } ^ { 2 } ) + 9 \ln ( m _ { s } ^ { 2 } / m _ { s f } ^ { 2 } ) } } .
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACsUlEQVR4nMVX7bGkIBDsvboEuBC4EEiBC8EXgi8ENgQ3BA1BQ9AQlhA0BA1h7od8CeOer+pdbf/YlYGGdmYY8EZ4L368ef1/CFjuNjamvNdu/13A4zGE587mvfL+UsHwcUkBJZi1hk7aqxCzfx5NeHqG/mqlc1QNY4xkh4OAdTQwSbuNrdUJW2ttjPZTj9X5+ivmwnQgMwKIDPqkJWV4rMd9ClWH38TMoSnE5WROgEbi1BFh+lG5BQUREfW+5xkl5lBtbsnJnAColBClunjOcCb41yuXcZhFnh8luRQwpimwxilmF8/G9yvvqSZN2hSmzi0lmYjouA0nqNjojAg7SkkAwOINAm5T6mkBi0HnlpIMAD8PYyz0HbCiFQB0FDNpP4fOTApTza0/oSoF5ORSwCQ/GoXtl2iB1BmT8gILaMYGYCjW58jIKuGErVGAUFnVDdq5ypeGoLt5dI/9/zN28mUzE2AUAFhxHHQSZgCASucNidf63dS+oJYCLOr9T/GDWbCencoIXBEwKQFke+GAq8I2JgVOyKmAyYV6KDPYQcQzWRYPCbqKsXLk4y5wb77YSmDh5kXIzi28j00HDp0zij+e0bwiZwLs7oEOGrj3SYf2aah8KlsR5kgTVu8Na0PuJfI4Mg73AXcQKLHSeDwzla/Q7nx8xpItDBUoy/AJmQ5nQe86pCbKbhrGV/xxP64r6ftn5DcMIpJ9aePImQB/F2jlWGezPsOwVrY01+oZ2+VC/dkZnZOJiG7xWr4tLjTLorJKhN+N3xhbt0HFXfIhG+T4FKWNJec58ALtyd1rLU59IhJMVE5xUQDJ4oJHRESGScFWlbZzXP0waR+sSy3j7Otl+AshIDJcZufJSsTehr/DA2hseeo8FFPf2TL8DR4gKsLdsxfS9UsOSLfhe/D2r+O/LNx6NB6plloAAAAASUVORK5CYII="
h ^ { \prime } ( 0 ) \neq 0
"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"
{ L _ { z } = 6 \lambda _ { c } }
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"
= \neq 0
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"
( \overrightarrow { P A } \cdot \overrightarrow { P B } ) \min = 2 \sqrt { 2 } - 3
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADtklEQVR4nO2Z3bWrOAxG9501DbgFTwm+JZASaMEpgZSQlEBKSEpwSoASoARTguYBMBB+jiesWTcPfE/GgLyRkISTX8J3668/DfCTDsC9OgD36gDcqwNwrw7AvToA9+rvPw3wrvpeN2hj++Mv82Bz+adJs7Q+/1P2U/JVMuQiInJF+XbmuwCvpN1Ic20H3xXiJ7obJdTt4LsAyx6LBtWNpj4u/P8awgXzkykNRTtSqmoHE0CX4LZX8FeD/RRvZr6yGiANsxZULiJi1UNmgLmBbcDKQpJ/6OS5+QyVuUemCM/sDWByb3XRX9QDVlkb8y3ADJIfPLymJfMW40VEKg1ZT5gAMPB1gM6Azt0moDcEv/9HLZp/hPfNEYYiXQvJ+ji1gFcS1164ClgZTPUZ37J5HWqeJCHIRaIezgKoYgzoi/5J1gC9Rn+c4Uvmc7qm0Y7xIiKF0l5EfAZ9Kxln8RagGUXhQ03NpxACUgEPEfG6v6BQPX9kob6UZOaT0ruqJ6FroIESeNamTRKMpavZcYDlDZWtny2nx7cIiy9IhqOkBXyF9kFYLQ7wAlatnSxPpwnh+XJufrRYLk2OblNg4gHLF9iN882Y8HxfXn2VBTAtsQmtmCc6jQe8g9bwupxOl+fsrHFqRHi+Y9yqt4Nmz9AAlvoVlsy7UUwWa0il6N4ZPc/mQoWyZen6ww9ZnAzdQ0SyDiTv7HgbalDMnqSsQd8uGFXXUJ/cez4bd2ra2Uj/rcmq8+9U0zxN0a8RE+ISeN4yX7jKGWhOsxzoo7yTD1L/0KCLkQ8iQpwxdB6vof8an0V5I74LIU7mIV5QjAcbCGVa5cA8UTBONb/3+G+tDcQA1kDaHyR6uYgZB3viu3Zj7J4ktKUB9U13oK5XTm7YW5voFAO4du9E5ztGNaeIGg2Aeo/DHg/GhO18xzgXT2gmzaScdOaJYgAN8HqfWOBTJp5warPelyQJb71z9rR9/Ysn1ONca2rSD0Lc3G4tlkrHT7vw4TDU53jCZAT4Wo/wVqE24bPbhZGIY7YxntTnUV/eKtRSMXxSp+iVMj395H8wbhKO4TAdWruZNYvrtH8UCrW4u5qaF0u/a3Jbm8kesHAu14C6Otc6oIKwr/Gms+3ThWZmp1OFmi83Ny/egPUi4tSwfVoHXAh7Ngqmz0DbLFXDhnWQf5taaMdLb5XPQCX2h+32r40/tOtxia7vJSiTRlXtSNX3ErRZzWCALcCv0Hf9PrigA3CvDsC9OgD36gDcqwNwrw7AvfoXcBcEF1lXpfIAAAAASUVORK5CYII="
1 . 6 \times 1 0 ^ { 8 }
"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"
x / D = 2
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"
S ( x , v ) = \frac { \rho _ { g } ( x ) + \rho _ { r } ( x ) } { \sqrt { 2 \pi \sigma _ { p } ^ { 2 } ( x ) } } \exp \left ( - \frac { 1 } { 2 } \frac { ( v - u _ { p } ( x ) ) ^ { 2 } } { \sigma _ { p } ^ { 2 } ( x ) } \right ) ,
"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"
\Im \left ( \oint _ { \zeta = \zeta _ { H } } \frac { d z _ { m } } { d \zeta } d \zeta \right ) = \Im \left ( \frac { i \pi } { - i v _ { \infin } } \begin{array} { c } { ~ ~ ~ } \\ { \mathrm { r e s } ~ ^ { \zeta = \zeta _ { H } } } \end{array} \frac { d w } { d \zeta } \right ) = \Im \left \{ \frac { \pi } { - v _ { \infin } } \frac { d } { d \zeta } \left [ \frac { d w } { d \zeta } ( \zeta - \zeta _ { H } ) ^ { 2 } \right ] \right \} = 0 ;
"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"
\frac { 4 } { a _ { 0 } ^ { 2 } }
"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"
T _ { x x } = T _ { y y } = \bar { T }
"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"
U _ { 0 , n } \quad \mathrm { c o n v e r g e s ~ t o } ~ ~ u _ { 0 } \quad \mathrm { i n } \quad W ^ { 2 , 2 } ( \Omega ) ; \quad \left \{ \begin{array} { l l } { U _ { 0 , n } ( a ) = U _ { 0 , n } ( b ) = 0 , } \\ { a _ { 2 } ( a , 0 ) \frac { \partial ^ { 2 } U _ { 0 , n } } { \partial x ^ { 2 } } ( a ) + a _ { 1 } ( a , 0 ) \frac { \partial U _ { 0 , n } } { \partial x } ( a ) + f ( 0 ) = 0 , } \\ { a _ { 2 } ( b , 0 ) \frac { \partial ^ { 2 } U _ { 0 , n } } { \partial x ^ { 2 } } ( b ) + a _ { 1 } ( b , 0 ) \frac { \partial U _ { 0 , n } } { \partial x } ( b ) + f ( 0 ) = 0 . } \end{array} \right .
"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"
f ( x ) = \sinh { \biggl ( \frac { \mu x } { 2 } \biggr ) } \biggl [ \cosh { \biggl ( \frac { \mu x } { 2 } \biggr ) } \biggr ] ^ { 1 - \beta ^ { 2 } } .
"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"
d l ^ { 2 } = \overline { g } _ { ~ m n } ~ d \sigma ^ { m } ~ d \sigma ^ { n } = - e ^ { 2 } ( ~ \tau ~ ) ~ ~ d \tau ^ { 2 } + h _ { i j } ( ~ \vec { s } ~ ) ~ ~ d s ^ { i } ~ ~ d s ^ { j }
"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"
\beta _ { 0 }
"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"
k _ { s , \zeta } = { \frac { \rho } { 2 \alpha ^ { 2 } } } ( \lambda _ { , \zeta } - \tau _ { 0 } \tau _ { , \zeta } ) ^ { 2 } , ~ ~ ~ k _ { e , \zeta } = - \rho \gamma q _ { 1 } q _ { 2 } ( \tau _ { \zeta } ) ^ { 2 } , ~ ~ ~ \tau _ { 0 } = q _ { 1 } + q _ { 2 } ,
"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"
u _ { n } ^ { N } \xrightarrow [ n \rarr \infin ] { C _ { t } ^ { 0 } C _ { x } ^ { 1 } } u ^ { N }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABBklEQVR4nO1UwXHDIBBcZ9wALeAScAlSCaQEuYRTCbgE04JKgBJECagEKAE/cJxTImmScX7RPm7mbtidZY/hUPAa3l7k7wL/VcBfWt4ef8s/q587mPxHYXA3sSqQ+5Av+bMXw9nWwjCnAyhPjATXiMIRO3mrhYEa3mHWmDElZ/gokaSUSFJaEeBXCFIqIabMDQoz4uTNiNOwHBTfQoAGMM1jDtYbHaw3elmAO5g0AAR1fX+OfNvrKNtex26ZP3PgCQBy6Npcs7aDoMa2gpoVNsC3EJFKKUmm8kjJdfFRGBwpENvKbAv1QEn663AD315iUBhow/FWBhU2S7VwcA2H/VvfBf5C4A5WJxjlY9w/jwAAAABJRU5ErkJggg=="
r _ { b } \gg 1
"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"
\delta \mu _ { \mathrm { s } } ^ { \prime }
"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"
\begin{array} { r l } & { \tau \colon \operatorname { \mathrm { M C o r } } _ { k } ^ { \Lambda } \rarr \operatorname { \mathrm { \underline { M } C o r } } _ { k } ^ { \Lambda } ; \quad \mathcal { X } \mapsto \mathcal { X } , } \\ & { \underline { \omega } \colon \operatorname { \mathrm { \underline { M } C o r } } _ { k } ^ { \Lambda } \rarr \operatorname { \mathrm { C o r } } _ { k } ; \quad \mathcal { X } \rarr X ^ { \circ } . } \end{array}
"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"
x = 9 2
"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"
\sqrt { M _ { u } ( Z ) } l \le \pi / 2 \simeq 1 . 5 7
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAXUlEQVR4nGP8z4AfMBGQH1WAQ8H7dPwK9rgKohvxHxmkKTEYl6OI/EdV8L8cjY+hQMkFXQGqG+7dM8bviz0MLvgVnMVUwIDuhHf43aBUgd8EBqUz6L5gHE209FIAABqrntOQhy03AAAAAElFTkSuQmCC"
t
"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"
B \equiv \gamma L ( 1 - 2 \rho )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApElEQVR4nO2SwQ3CMAxFX9kgjNAVskJYpSuEEegKWSEj1CM0K3iFjGAOKKWCqFy4wb9YVr7etyMPxrFOH95/2aDzvrMXrWbmd/1GEKkAZMB1IlQuFSAnUZD8TGmoxT1qMLOw2LS+RfgdN+Dq6xbqSecZQPprlhGNEXxW1aRls7UZWMJqHTWCkErpfNpGuHmL4xFBA7FeO4BmKCNuSh3H8L/qLxnudcmbHfbsKeQAAAAASUVORK5CYII="
k ^ { \mathrm { { t h } } }
"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"
p _ { i } ^ { \prime } = \frac { f _ { i } ^ { \prime } } { T } .
"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"
| \Psi _ { w } ( t ) > = U ( t ) | \Psi _ { e } ( t ) > .
"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"
6 ~ \mathrm { k e V }
"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"
- \frac { 1 6 } { 3 } < b < - \frac { 8 } { 3 }
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"
\begin{array} { r l r } { a _ { 1 } } & { = } & { \frac { 1 } { h _ { \eta } } } \\ { a _ { 2 } } & { = } & { \frac { 1 } { 2 h _ { \xi } ^ { 2 } } \frac { \eta _ { 0 } } { \eta _ { 0 } ^ { 2 } - \xi _ { 0 } ^ { 2 } } } \\ { a _ { 3 } } & { = } & { - \frac { 1 } { 2 h _ { \eta } h _ { \xi } ^ { 2 } } \frac { \eta _ { 0 } ^ { 2 } + \xi _ { 0 } ^ { 2 } } { ( \eta _ { 0 } ^ { 2 } - \xi _ { 0 } ^ { 2 } ) ^ { 2 } } } \\ { b _ { 2 } } & { = } & { - \frac { 1 } { 2 h _ { \xi } ^ { 2 } } \frac { \xi _ { 0 } } { \eta _ { 0 } ^ { 2 } - \xi _ { 0 } ^ { 2 } } } \end{array}
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\begin{array} { r l } { - \log p ( \mathbf { T _ { 1 \rho } } , \mathbf { T _ { 2 } } | \mathbf { f ^ { W } ( x ) } ) } & { \propto \frac { | \mathbf { T _ { 1 \rho } - \mathbf { f ^ { W } ( x ) } } | } { \mathbf { \sigma _ { 1 } } } + \frac { | \mathbf { T _ { 2 } - \mathbf { f ^ { W } ( x ) } } | } { \mathbf { \sigma _ { 2 } } } } \\ & { + \log ( 2 \mathbf { \sigma _ { 1 } } ) + \log ( 2 \mathbf { \sigma _ { 2 } } ) } \end{array}
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x = 0
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\beta = 1 / k _ { B } T
"iVBORw0KGgoAAAANSUhEUgAABIAAAABgCAAAAABAyFYXAAAS1ElEQVR4nO2d23mrPLeFR/azG+ArgVUCKQGX4JSASyAl2CVACXEJUAKUYEqAEvRf4AM6IiEBcqL3ai3HngwxpyZCxw+CQCAQ2If/21tAIBD4u4QEFAgEdiMkoEAgsBshAQUCgd0ICSgQCOxGSECBQGA3QgIKBAK7ERJQIBDYjZCAAoHAboQEFAgEdiMkoEAgsBv/b2uga1u0iKMkjVzoCQQCf4hlCahsCwDAUF7b54fHPHn++/Oc2ukKBAJ/gI8Fq+G7U51WAPB9AZAck2To6nIA8vPTLPI8tIgCgYCaBQmo/hriIgWAQw2c8/HT7qudZKDye0iKRGIg8EYMLeBla9ZbYQETzBNQfUBSja2bQz1p9LSfAKpHSLSHIapCBnp/6gPg5Z5R3goLmGA8CtZ+Ia5eb1f5819JBuD6/F8VDafBUlzAC7xtZ3grLKCNcQL6HlC88s906CvFJAEhydFerKQFfMDbVqy3wgImmCagukb2fPCcq/PkTxGASZsnj3HprLQFPMDboQRvhQVMME1AF+qtK1U9hnKgXKQp4BfetjW8FRbQxjABdTWSWPK3AXRIZFFIQL8Ambt3x1thAQMME1Cp6PlrwfwxwXCVfDfwNnhbz70VFjDAcCZ0rWj3XoEon36Q1KiPy2QF9ucUASkwADWGFkh88aW3wgLmmM0DGv6bTPVhKE+vWYkj3xfEt+XS/KOGq6Ffd5bW44P5f34Wfm17vBXmCm+jYwVhZi2gVv6n4QIcqfyDBPhVw2DlCTg6uf/uLK1OhCH20oveCrPG2+hYQ5h5ApIIOHVICvqjCEDt441cyBWAm4etO0tOaAfEfI9KBSQRcKiLdPxKEDanzA1W0eGtMBnEhFz6gxxIeuazCkBlZN9rGgC5Z5Zc0B+h0pPivKWaCd4Km1Nmh010eCtMiqMNycrLc4HYr6UE4nz+a5tacsD13xUALp/S9+udVtR4K0xDmQ0W0eGtMDluElB5Msw/36vcoVUZrsDZSY5VWCq3nrcwfH0NiIscaD+/F1lY7Ep1Wb0VZq9MLUwVZyvfsrWEKTFqL0lewTLB+xdRvIJV8Ru+mp2BdHVLOdKbm4uIr5wzby0/ERDlPSG3DEDSCH6TKpvdFq5UltVbYTrKlMwJU8WZ7S3bVFiV5xqx7CIBZUAm+rYkAfW5LDF5TQwY+9TYUg5E6/VsVKyjjgDy+6OjSgH88D9S1XMrV6rK6q0wLWUK5oWp4sz2lm0q7Kb1xLZPQP1Rkn8kCahPgOj98k/lrANOaekM2d10QMqGEJBNHlKVsEor1Fq6UlFWb4VpKZMzL0wdZ5a3bFthqc4zwCwB/QBgmlV9MhFWVdO/Vvy3x++L3td854jIkWq1pSZaLQNVQEJ/kjHuqQRPTXncWbtSXlZvhWkpk6IhbCbO7G7ZtsIKnSaQWQJquDZNnwDFyxoVE2fRC1sCZzV5S27TYq5qqVmtDRQvKoO8ntu70qqs3gqTMy9sNs7WUbaOsEjjPdAsAZGISUBNROmiYyIXZMD37P8hpMldzYCYtZQbv7/rUSyrltJ4d+FKm7J6K0xpdEbYfJytoWwlYTkQz13aMAEdQc3+aiJE014FOgFl4KaK3eDTFDxPWamRGC97dMra0W5caVFWb4XJcBT87pWtJeyG+Ta34TyglFredT0MGD4/XtBfbgF2nfKFXTEf4DkDg/udlL47IHNoz40rVyjrLxe2grK1hMVH4DIzW1S2Gn64di2AKD7S22/8N0T98z+HmvvdZGVy9w/j8WGYfvT71i6751C730Zg+DcgaZ7/rZG85pS1A6YLiNohmjj9g/MiAHeuZMv6C4RJcBb8jDJvhQHXr3nLwnZRPzlVkJ5hlE8bVYKFppOWXMa3v3IAb9gDvTUF1nnNf7njRg16xNTfcro9LnnTceVKpqy/QZgEZ8FPK/NW2F3OzOuiMAE1MYA4y/MYAN3L00eI9cTeBD1QETcQHBDQAzi6NXmLqFDo40n17YHJBKEMSCbPnEZSz125kinrLxAmw1nw08q8FUbImNvUKVCUgH4iIBrT6BlgcthZt79KMA3pZ1ZOgBBCSOK8pZiB7oIu8BohqKYt4YzxdyWu5+5cyZT1/YVJcBj8tDJvhZGxG5qfCzhF0Aldfg1IbmN/ZX7GuNfY6x0rw0WnC+xUI2df0VpQp6l0h8PhcPjv4xvovv99/Pe1eEXbYkstt/zOA1Hjdsd8/5oFXQm6C/oI4OHW6T53pxLTc9+kuHMlU9YgzFSZt8IwdkNDfTwgl5IaYPqWFYN5leqP/Og6Ry9cH5aAahU9uhBz0kSIEyyfYbXQUiOY/7m7KEKULde+UiEzeATbzI7xfF8/vq5WgG1XVOK5HO5cyZb17YVJcBj8jDJvhZGxeaVsAvEJKKX15AC7giif1xQ/3uHoi9Gmb/dOpvwWRdXYo71w/thCSynAdbbsLoqQ8aZLgkc08KN4nEx+RDskfcVK8vxjH3EiK7FVd65ky/r2wiQ4DH5GmbfCCBmzoyoPcj5kE2cBcEMyVTKXWoXbBlR8YW4AkKdRM94Hi3fRJZYklXZfUYTcs774T4sSUAquOyDF8zECPB4xObhmhbieO3QlW9a3FybGZfAzyrwV9vxIkcG4PaGvoDsLYgBo6QmFaTPXQSE7OoNltF4X9mdcLrEUDRAd8buvqBWoawBHvqDjnNIaeBy2VIKbO6q9B57Lsr61MG3+hLDsAuAiTwdsAupqIJoXPpdfhH+XnWFQxxmA/AJEllN1DS1lF0hnB+8maoZE3QQScgK4ctZ4HO33OmngOoBzXSycR7aiK99emJi/KAwA4uMVqK/SlMImoCsY3S0gaiUsQXqIyhEAznEdZ9R+/sOlxdGs8AJLXduiRRwlKVeKc1TLLyARtYCFlsQHikTmx4yUHYBE8Dgbb0iHR/zWgGXULnUlU9ZthCkiY19hWtDKvBWG4xXAt3YCasGcfTqA/cQ9o/mMCdDyezC+MmtpKK+vgfZjzlrLFc14sagluLO0jAsgbADdo7bFNGotj1GyduVWwmYiYz9hxngrbOQYd0BXysyw84BqMJHisAUkReT9+vO04NADxtL3f98tknPV36o8wtVoq253SXfnHqCuAzgXdsBD2POZM3SwFmvtyo2EmUfGlnfMCG+F3YkAxZGmTAJqB/bKHQCNBW1W8E284XRol1yVsdQCODd5GsXpuUmAi0EGcne62x4H500vnwPcvMYOuD8iX431FrAOO2tXbiTMPDK2u2OGeCtsZFzULl2RyiYgAPH0Ydl1YNty7UEwE/pwOMxK0W9HXf6VyG9ODlV9vmXFBYCL0/nF6+Is6+cRgJJuhLymv76elZMxFOqrAn+7duXrqgbCRDFn0FbXioxFwkTKnL9EPC9rIkzgy/WEjZQAkEmvwvQBvXqx7vAlaQ9DzQ8d6VRs/RpVD+nZUf179fIkWQlc3+eoaLHPamWiF26uEmUXACXV3/Xq66Ojlj/WV+hv166c7CehLUwYcwZRoxUZi4SJlDl/iXgqMxAm8uV6wkZKKHcbYhLQqxfrzhWgOzDbwwCcnG5txRP/LJ3CwDId4EhL4FrIv6vFgqE5AToDMO7Irx2bgF7toafLuxaCqSO2/jZ1pbYwW0wjYzNhptGhL8xJ3TWsAOWAextcjCABUW9gNej2U3sYgIWl0M+1tlniwXmYFiaC/Wm+S4bmWPQGYBw+maL8BHTiYf3XsEMJ8FEr8bdjVwrNqYWZWBKgGRnbC9MdnhP29quFiX1pGGezFUDwBqaaM0onoG4A3WF9AaZtVbSHIa2BrFySgaJo68O8XTcvaxdHSn9fACTHJBm6uhyuV8mWcRLtC+YBAdmlY94xkvZe5Vpg7OQbSgAZc1WZvx27cnJVTWEydIVpmttemGZ0TJTpCpP40siVGhWAvmzbgkogPNTCjB+AWkHSANRKkCaKzgQAqWJmbSNrScgR3LIyXgO9jESwDKWvqqri9zlRWRr5AbMkXGJJZqrP7gOCdqJSvLYTuInN5dDYccCEAqB3anmu2ikeNyUHuL3m5P5248rHn870f+eFPS7If2gobISLDDthQmWawjSig1GmKUzqS/07pqoAAmGEjPtQKescfZkxVT2XjvUJqP0qmujY3+9un9Ol0EpABa99QdQKVs/NWZLYk1iSmDpHQN7bi0qnBhrh71LMbONkzDSuCbmvNyzIeFMyMvomYo7eVfjbjSsfyiZl1RL2vCD/oaEwhbzlwoTKNIVpRAejTE+Y3Jfad0xZAQTCiGhNPltR6MukAOJnyrklTEmSn7s6QghpEvpAHo0EJNhqdGkC4h0/H2bcBrUSSxJTKdLGhaiUaouwWxUSQtbYurYCszg6BxDdnns5CINW4W83riSEL6uOsOcF+Q8NhY0Ity5eLkyoTFOYRnSwyrSEyX2pfceUFUAkTLKNE1VR6D6gFkBxag95GqG9lgMQVZN3umracZc0xt0A0fE6HaEcHu+T5vPGmZltWpbKTtQdz86Rk5uaHc/RFjU3ANMOzgdX0rSmu6HPbY3hM09aAFF5rYGEW/2s8LczV3Jl1RGmYIkwYWTsJmx2eI5VpiVM7kttYbMVgI/bEqIeIKqiTLNTDwB9M70B4h4SzQ85fjB93aTWdQu+Lcm1Z3AZe84SIePm3czPBJY2ENVUDfstxlgG94eHcCfn9swoQi67ovg+OHElEZV1U2GECCPDTphYmZ6w+ejglW0i7IGiBcQJExzXzFYU6hL3dnrzmAkUC481FOqSu5diuoP/vahpmiZGRT2CO+9nztL9Z+z2qwJLG4sShtgtWuP4b75CVa8tgpJc3uUkUe/ClZKybiiMEGFk2AmTKDMWJk5AImUbCpMnIF5YBq4vk60o1CWeOyo2eZ7mucELrm4CKgRVXoq4qH0kemHXMcZG2SJLTkUR4QCMwG0OuEE0spaBPfmNQ+JaB64kirJuJIwII8NSmESZqTAiHp6TKdtImLoxy3VBM6mSqyiUnqPU9hSbBGR0sLW4qPNHDYkoBFG2yJJLUeJfVottzV6J36Mznb+YzLX2rlSVdSNh4siwFCZTZiaMEOF9kyrbSJg01HlhBW+W+zWlZ7K9vgKrBNRE+mfuCYvaCJ4J84iibJklh6IIIYIBmD4W1gh7+kgwpKuxdbnMtdauVJZ1I2GS/GMnTKbMSBghRDQ8J1e2kTBZAhIIS7hv8hVlqqeHVtvfKgGRAtodHKKiNtGS6pmJ8s8iSw5FEULoU+UIIePcK9noriWC00xuwGx/t9S1lq5UlnUrYaLIsBYmVWYg7Pl9+rVZrmwrYbJnCS+s4bKnoKJM9VQAonkFdgmIFACOWrVVUNRbBK3TZmlEh5Qts+RQFCFEMABzWy//kD7iIvQH82cnyF1r5Up1WTcSJjy+zlqYOjXq3TFCRMNzCmVbCRMnIJGwjM2eoooy1aM4jYr6iV0CIk00zpuaRVTUwsB/d/qjMMoWWHIo6g47APOzvC2lQcF1Q+eYb3srXGvlSmVZNxEmiQxrYQpl2neMEMHwnErZVsKECUgkrI+4hCioKNMNybjdENchuWXjlpFLyG4/hhtYDIcr8sdcrrp+XtjckkNRd76vSKgZYu0Q5Y0rWRzZMWXuO7f9ihlWrlSWdQthssjYXdgdLjqUyvZ0pVBYm6TsQlpBRZkmIG5D+pWICt1jwwSY3uPh0KJ43ojDZEc4hzulLjRVXtgIQ9ZIN690wE/FzKq13TrYypWqsm4gTB4ZOwu7I4gOlbJdXSkSllYVN3OaryjTpRiWOdSAdLN9CdvDgGK38yjUlCcuwtbMPgIc7F2+3JWqsm4gTB4ZOwu7I4gOlbJdXWkRt5ME1KbYpgW0Ie1hoFaz+cSp5CNsY7px9bF/rC9sYWRsdsdMo8NbV84wSUBLztz0nOtpwPC5twoxpxKZq50fl+Kty1cXtjQytrpjxtHhrStnYM8F84TDx8fHxwXA5ePj48PkOC8K5igIjxi+PMg/m+DIlY7xNzKAvxQdDhIQHVLX2S0bA5APwAS08DfmnCj7S9HBHs1szvD52nyk++7ctAQdtSd9bZYOh3bSAXqAbOPf38AaPrCPubUiw0Vt+EvR4aAFVCSf3/f27OWz27lX9T1o/7XeDs29Bf7GnANlfys67FtAKHC5FgDa73rvUZ33wOehuTfB35izVvbHosNBAkKB8gDgc/dR5ffA56G5t8HfmLNU9teiw8ko2L3B6F0sOObXD829E/7GnJ0yn6NjjQFNN8PwRQYvYyHwe/E35vxV5iEfxPwnAP+jUxnu+C9F6G8f8DfmvFXmny8XJKBaeL5JnXh5xwPWiP3tA/7GnK/K/PPlggQUCAQCbvB0KUYgEPgLhAQUCAR2IySgQCCwGyEBBQKB3QgJKBAI7EZIQIFAYDdCAgoEArsRElAgENiNkIACgcBuhAQUCAR2IySgQCCwG/8D5dFWg5j3IngAAAAASUVORK5CYII="
\rho _ { \uparrow \darr } ^ { ( 2 ) } ( \mathbf { r } _ { 1 } , \mathbf { r } _ { 2 } ; \mathbf { r } _ { 1 } ^ { \prime } , \mathbf { r } _ { 2 } ^ { \prime } ) = \langle \hat { \psi } _ { \uparrow } ^ { \dag } ( \mathbf { r } _ { 1 } ) \hat { \psi } _ { \darr } ^ { \dag } ( \mathbf { r } _ { 2 } ) \hat { \psi } _ { \darr } ^ { } ( \mathbf { r } _ { 2 } ^ { \prime } ) \hat { \psi } _ { \uparrow } ^ { } ( \mathbf { r } _ { 1 } ^ { \prime } ) \rangle ,
"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"
R _ { N P } = \left ( \frac { < R ^ { 5 } > } { < R ^ { 3 } > } \right ) ^ { \frac { 1 } { 2 } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABO0lEQVR4nO2VW3WDQBRF97BiAAtTCVQCkRALtQASUgmJhFgACSABJICE048ZmgAzk+anX+GLBXvdex48jEgf2ZP7b2ADtPWH+Q4BB6Ae5xagCI6QZO+n+wNJms4ANg5IJXAKAg8u7H7/2mZYo18BMCQ0dFETXsMIlOENDuijGv8KjHETLkmAKSGyB2yeWJGQ4IA5IeF3QgxgCboLaxSShgWMueiJBu00pEyQ4XJMAkkTRmCAKRIkGbTEg4ZsK2Fur/Xxylx/GnMcAakCSu+6cdTl4iZWkgesJHWV1FUARf51AmgkpBvAqWkqiknuHbKDNJyrzke9WCwneaDZdFEA2Iu7Yu+KJOkA2K7trfVz5nFTzLa9G+vqd5+gHvLH3EPAqpeXgXF+AuyqDwC5fQKsn51XgZ1GzPun9l/AD+fte7U7jhTYAAAAAElFTkSuQmCC"
l _ { r }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6UlEQVR4nNXT0ZGDIBDG8b+ODWwLtGALtJCUYAu2YAteCVoCKUFLiCVoCd89RAxwM5e3mznefrsLAwtU4vdRf8j/RUED8JhX28x37gxmltT7ICkYo6TSSJOFVxyCVBrJwyJJATqpdA323tEGpRvonbUAB7Tww7pGhz2l0u+C53WKzFfB5CzLRxNPRJpPfK2wD7glWSE62eRwNip3UiCH7Sqd3qbnmClds97vxytgsFG64WvGDcm8wnXS/e3sdW5NsQG70UqlkbrbHnu/SKWR1LtuDKPHn3eVuRJwPFawW3ySmav/8LM+FnwD9zNj+hVjFxMAAAAASUVORK5CYII="
^ \mathrm { 3 3 }
"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"
w _ { j } = \sum _ { i = 1 } ^ { n } a _ { i , j } v _ { i } .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAOklEQVR4nGP8z4AfMBGQH1UwcAoeF6EJMKLFpizDY/wmhBKyQgbDEf9RgQW6AEFfoDsSAwzGoB6pCgA2oSQZSLuK4AAAAABJRU5ErkJggg=="
^ 4
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"
\begin{array} { r l r } { u ^ { \alpha } \mathcal { D } _ { \alpha } \mathcal { E } } & { = } & { - ( \mathcal { P } _ { l } - \mathcal { P } _ { \perp } ) l ^ { \mu } l ^ { \nu } \sigma _ { \mu \nu } - M \mathcal { D } _ { \alpha } l ^ { \alpha } - l ^ { \nu } \mathcal { D } _ { \nu } M - \mathcal { D } _ { \nu } W _ { \perp u } ^ { \nu } - 2 W _ { \perp l } ^ { \nu } l ^ { \alpha } \sigma _ { \alpha \nu } } \\ & { } & { - \pi _ { \perp } ^ { \mu \nu } \sigma _ { \perp \mu \nu } , } \\ { l ^ { \alpha } \mathcal { D } _ { \alpha } \mathcal { P } _ { l } } & { = } & { - ( \mathcal { P } _ { l } - \mathcal { P } _ { \perp } ) \mathcal { D } _ { \alpha } l ^ { \alpha } - M ~ l ^ { \mu } l ^ { \nu } \sigma _ { \mu \nu } - u ^ { \alpha } \mathcal { D } _ { \alpha } M - l _ { \nu } W _ { \perp u } ^ { \alpha } \mathcal { D } _ { \alpha } u ^ { \nu } - ~ l _ { \nu } u ^ { \alpha } \mathcal { D } _ { \alpha } W _ { \perp u } ^ { \nu } } \\ & { } & { - l _ { \mu } l ^ { \nu } \mathcal { D } _ { \nu } W _ { \perp l } ^ { \mu } - \mathcal { D } _ { \alpha } W _ { \perp l } ^ { \alpha } + \pi _ { \perp } ^ { \nu \alpha } \mathcal { D } _ { \alpha } l _ { \nu } , } \\ { \Xi ^ { \mu \alpha } \mathcal { D } _ { \alpha } \mathcal { P _ { \perp } } } & { = } & { - ( \mathcal { P } _ { l } - \mathcal { P } _ { \perp } ) ~ \Xi _ { \nu } ^ { \mu } l ^ { \alpha } \mathcal { D } _ { \alpha } l ^ { \nu } - M ~ \Xi _ { \nu } ^ { \mu } l ^ { \alpha } \mathcal { D } _ { \alpha } u ^ { \nu } - ~ M \Xi _ { \nu } ^ { \mu } u ^ { \alpha } \mathcal { D } _ { \alpha } l ^ { \nu } - \Xi _ { \nu } ^ { \mu } W _ { \perp u } ^ { \alpha } \mathcal { D } _ { \alpha } u ^ { \nu } } \\ & { } & { - \Xi _ { \nu } ^ { \mu } u ^ { \alpha } \mathcal { D } _ { \alpha } W _ { \perp u } ^ { \nu } - W _ { \perp l } ^ { \mu } \mathcal { D } _ { \alpha } l ^ { \alpha } - \Xi _ { \nu } ^ { \mu } W _ { \perp l } ^ { \alpha } \mathcal { D } _ { \alpha } l ^ { \nu } - \Xi _ { \nu } ^ { \mu } l ^ { \alpha } \mathcal { D } _ { \alpha } W _ { \perp l } ^ { \nu } - \Xi _ { \nu } ^ { \mu } \mathcal { D } _ { \alpha } \pi _ { \perp } ^ { \nu \alpha } , } \end{array}
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\sum _ { n = 1 } ^ { \infin } { \frac { 1 } { n ( 4 n ^ { 2 } - 1 ) } } = 2 \ln 2 - 1 .
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABT0lEQVR4nO2VQXHDMBBFXzohIAoqBFFQIZSCA8GBYENIICQQZAgRBAuCBGF7iBU3thRfeulM9qh983f/rizvhNfxsZF/A38NHL/6GiEiIhfASTEQERmVPikV64AxUUZjq0DbRBGJtq0At1zdRbcug4i1au65K/bQgnNR5HZae5mA3KAal8AHQEBPFYxezmkCchddeZLVMU4lPKyUn0qELcBjq3kQkTld2NceCLR3JqmywisTgoibbs0iYpdthrIHP2QXNcBkwGPyYTjOQLIz8FC4lhRSmhW8BTh/9gAKDgf2DJDu/TBcO0h9ClMe70+LKd8N4kRcKyItsneF/rEQLIApfpveAMEA6bsMKCAoSL4pAiG76jtVVggQNJy1Lb8PevB4E440D2PPcVFYrZsxr7sQzpnfN2oddl5P5Y1KaQPwWwqD2gDSY4e79y/p/wA/b5/Q1+lXWJUAAAAASUVORK5CYII="
\hat { E } _ { \psi }
"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"
\delta \eta ^ { * \mu } = - 2 \partial _ { \nu } B ^ { * \nu \mu } , ~ \gamma \eta ^ { * \mu } = 0 ,
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAGyklEQVR4nO2b0XmjOBRGj/fbBjQlaEogJcglkBJwCUoJpARcApQAJZgSTAlQAvsAGAlLgAOTmd3lvCTGQkI/uldXV/Kp5WALf/3uB/i3cwi4kUPAjRwCbuQQcCOHgBs5BNzIIeBGDgE3cgi4kb/3qqiSe9U0S9N8TzsuyqYUUk7aNwU8u+8L4uW6sw/uTxc/Pru/YWpcCgRAVeVquVYH1w+txZfudFB+OC6GkbNskWUNADKMLA3bEe3uU9AuUUeo+/PlXGsdAsTGpUgAUmtH+VXEyNsXb30idXU3dJW8K0CEWocChDa+wSrXjTWV1m3b1nkcPGnspA6IfN/lCBD3laXXcBMkW+430C4BlbtNRN9qDGYHTlY6q/mBZXHFpQIWrK05l1Hi+7I4p++gcuNS9l5vMsLyjcRtZq9yLkBK5Pg4VcYtcLWIyIfrxRn06NZsqQFS43OtMC3QRR0ga++3OW0EaPvSNrT9jF9HEtiexD26a2GrooF8+GB35gZgqVEHdu+fiYzanslpawncrEsbkbZT+Cr19M3XwuldNPZEUGMYut2ZBBCTVoTTKzzI52eZnLbN7QfYLmDi9lSvkk+GWx24uyKmVqiMEWEH0hUwmHpTACBiijk/coElh6S0J2L4KpGgmH2odTTKfvL3Urh8edEwqgL9h2z40E6lHQxWD0NRhX4X1yZMbP7pLbftxIi3j8A22mcI2miPt49h4qVMm7ZHYAkMUWI2iJ6nM5NmAcHinCoS4LJU6gUCKMod6wPIPlHOuKZxFh+atwRsjMF6rZ6nc0fl2WR0u1lrxMXl7XR6uyyap2VD+1BdwL3kel47NjAqaA7NfLywMlxNWZikB3sNeJiB34QjmdzbNg2Ycxpt27Ytu9uw8nbkBhPjloy9sToT09l2nWsxG5w8sEIiF4NaNxiCBq+AUdQVqAOCBQUl7gWS0wY75oOxGISvTTl5Xd2q3yWgPSnNd6FDrRWw1Y8++AS8MeiWs7TaMwMJk68KeBczBTR2L0OzPssHVkCglFKwyrW9QhzA56xzK6C8AqAkV7frNlkusZ6PBuEVXwfA5dHcNdMAw9RpSg290nXkyUpMAZhdFIzD7WHEvhGYwuB31ZIDWRz5r5EzO0JvApBde7UmGIWyTdhYyNViwWf0TF+B49Ee/2o6y/T6QK30WPRbBZQL46BLMARa61AQ1LVHwJRxIRete75XBGwVkK4KpL9ZwIRFp5sMwYzQfbTSu2AzI10yej7hCH+2krw1XNR82F1mVVOI3XLO6/gEFhLkUVQWDaAe5XqlfAIiBgGb3Xoj9QfNxZkG7pv6zKogVMFjM+B7uFYgwqVSwTirFoxCmbNwxRh2x3X/T/nTs1Vi3bYOrSDzryDKt88mv+mdp/9lrsCifiYN44g1BGzMXMxAeW7m6la8IiCJMOOBCcVbJe5f22p68HHy4l1JliWLFjy5A6eAJTwJWJ4baYbXG2MvqaHx9KR5BzttUc2/mr1cyxUWBCzP72bqoipBegSc6Hc9NwzxZXN9P51+nE5vF8MIXzU3rbwjNmvGp+re0/XqrcdlLF8lYyGj1JyL7GwMnSswRt3jTB0xiZ7vISD7D7lEJvc21wKCxypqdTJhoBZ4Ah9thBJdIK39NbNfMiHF1Yc6CsKhlzmY2YS7MBsfO1ML+6nu3QZ2f+Ptsdi+iVHVtmYhgkqnaqUzAg6vr2ZBwNvSe3uBCHjOPCmM7IIwm6sDa5927Ezn6uJ+OR/3U8dQSTiKmwtjoIbzWyK1esryhh4Bc6OxLjmsvHtvCQsryBcwc1MjmFdTeGzn5wEII4/RdyaPH15UKDPW1WOF47Az7k/xp/TviZaA0qlZohaelUgEUd22bR1FrULec+ku1+6a0r+BqwuAuQshAKWTRAeAMktjlHfwGMUSUK7Fk3SM/57R0Vo3psJTPpEIrSOp2/YeMHeEY2W2cg3JZCbo0bY/q/VjYRbaLZ9W/tAmeweQSk2XYsWZ4LaujmWqsiToWihnZtnrxT7r8CsoCmmnR6uiAtTTfL32TaXDK5i8geWF//7stLG+Cy9sMaZRL76anl2YOdrxK/gNr8zPa3u0eecK7MBl63GrV7n5ve5v4OVN7vjZ7r9XwZsQf5B+KwWM9Wgz6un4TFtr5wHLX4Le8YDlHqwSMMc43qVca49c+oO2XYnR3+twl1gVxlQ/xwOGxZkgdyy9/weHzN2skjmX/RHXu55Owv93VgbSTVZ0SSyhoo05z/8Ya1ciQNmA+PZ8+5/OCwIeuDh+6rWRQ8CNHAJu5BBwI4eAGzkE3Mgh4EYOATdyCLiRQ8CNHAJu5B9YB/iMYceXOgAAAABJRU5ErkJggg=="
E _ { s } ( \mathrm { ~ N ~ a ~ } ) = 7 . 9
"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"
\frac { \lambda } { 1 + \lambda } - \mu ^ { * }
"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"
v _ { x } \larr \mathrm { V x f u n c } ( f , A , x _ { \mathrm { m } } )
"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"
\sigma _ { 0 } = n _ { 0 } e ^ { 2 } \tau _ { \mathrm { m r } } / m
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAUUlEQVR4nGP8z4AfMBGQH1VAKwXvK8L2mKAK/UcBLmn/76IKofLKBd/9/9+BR4FS2n90gOqGe4IU++IsA8O9Tjy+mMkgaFyO6gbG0TQ5aBQAAEz9ffWRnmwrAAAAAElFTkSuQmCC"
c
"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"
\frac { \partial \eta } { \partial t } + A \eta \frac { \partial \eta } { \partial x } = \nu \frac { \partial ^ { 2 } \eta } { \partial x ^ { 2 } } ,
"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"
3 0 0 \lesssim \lambda _ { z } ^ { + } \lesssim 5 0 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABJ0lEQVR4nO2V3W2DMBRGDxYLuCN4BTKCOwIrsAIdAUZIVsgIeIR6BDxCPIL7YEgJ2E77lkq9b+Cj+/3IiCpQHvHk/B/4NXB6yxAhzg0dkrNuMDRliSuqKDHDlJZYAH03kwY6aPLA7dwAbQaoemMBUNHkee9VILUGkPH5mCWE8AkwZyQEYAGZq0EADnI9RsD+BMgpIMD7EkAI0xImPTWYpAVrXaeAGvYK7oL1FtALsPfoLd5uPcDxMsxqfSkwJEKo9jumo1D0CmR7BFEuegVkCfDPNkCsAvjwKUACFw+493E8AjXdCO7UYixDn9AIoY8WZbe9lj1LkzUMg3FOKZ02WQNkzjYpXhfwzwBbAuwKVIlfknPuagDaVqrEFzM90KkND/PqTf4d4AtTB0BcgGtj0gAAAABJRU5ErkJggg=="
t _ { 1 }
"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"
[ M L M ^ { \prime } ] = [ M C L M ^ { \prime } ] = [ M M ^ { \prime } ] = [ N N ^ { \prime } ] = [ N C K N ^ { \prime } ] = [ N K N ^ { \prime } ] ~ .
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA10lEQVR4nO2UUY3DMAyGv56OgCmEQij4IJRCB6GBEAylUAqGcKZQCoGwPXR312TTqm1vp1qKItvxp99OlO7Me/bxZv0BOADPApZqewFwcgCmOvq5U1XMkRGAOGW5PbADmErMv07++t4DlNmGshDEVAGMcZOVkDKt1TOwwen7STXa1a/SITYDuFGgiyiugocVkFbtP/k+eXwIkFnBI8xrt9pKzqc20lyjRzDFo8wAwVrFOT0GmEIJVykw2KbpkgAZm4fU1X/iEv7WSjQ2M7hj3fGpHoD/AbgA4N89Mi3w9XUAAAAASUVORK5CYII="
m \in \mathbb { N }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAuklEQVR4nO2SXRHCMBCEvzA1ECQECbEQJGChlRALWCgSqIRGApFAJbQSjpdCbpjw88xwT3d7O9nduRjhfW0+7H+SkDtjjDHbQWGiKoINwYMtmCaMhLOISAvjA2zUY+kYAXBg6xJFqQyVFCnhy9Q87XICXhFSNwHYRVtQaj3YOM5y0SFUzKulnVfiXCNEwr1xKlJJkVdry4Cr3sIyLLCcdhM+7ysme3AhQADwtVtEANfLAVyJYf7f/jvCDQUj3qjT24SoAAAAAElFTkSuQmCC"
a
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAr0lEQVR4nK2TQRWDMBAFhzqIhVjAAhawkEqIhVqgEloJWAAJqQQsbK/dhX4u/GMyLy+Zn+0MndvJvge6zwFhP0mD7eKAyqyBhV4D1jNp4EHeJLBBlYCNpE0CLygSsATNLUTVBe7/TZrZAt5WBKzH29q1OcAq614hqzs08LojUMF3HoEcHhGBGUZTQIkiY5vppM1pV2YQ9aYk9asb2WLcCU+qnot8NhcHY2HdtcN7lC9GOm/ZbFcHXwAAAABJRU5ErkJggg=="
\rangle
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"
\begin{array} { r l r } { \Delta } & { = } & { \Delta _ { l } + \Delta _ { r } + \Delta _ { \Gamma } } \\ & { = } & { \int _ { \Omega ^ { l } } \sum _ { j = 1 } ^ { N } \frac { D _ { i } C _ { i } ^ { l } } { R T } | \nabla \tilde { \mu } _ { i } ^ { l } | ^ { 2 } d x + \int _ { \Gamma } R T \mathcal { R } ^ { l } \ln \left ( \frac { \mathcal { R } _ { f } ^ { l } } { \mathcal { R } _ { r } ^ { l } } \right ) d x } \\ & { } & { + \int _ { \Omega ^ { r } } \sum _ { j = 1 } ^ { N } \frac { D _ { i } C _ { i } ^ { r } } { R T } | \nabla \tilde { \mu } _ { i } ^ { r } | ^ { 2 } d x + \int _ { \Gamma } R T \mathcal { R } ^ { r } \ln \left ( \frac { \mathcal { R } _ { f } ^ { r } } { \mathcal { R } _ { r } ^ { r } } \right ) d x + \int _ { \Gamma } \frac { g ( C _ { e } ^ { l } ) } { F ^ { 2 } } ( \tilde { \mu } _ { e } ^ { l } - \tilde { \mu } _ { e } ^ { r } ) ^ { 2 } d S . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABPUlEQVR4nMWVXXHDMAzH3d0IZBA0CKZgCi6EDIIpLBBaCAmEBEIMwYXQQNDedn9piu27PkxvUayf9e0Lu9fk7UV7DTiuuX4+Xw+lYSHjzg3ZR/ktAWlu2TPP6RywhrY9c1hPAfLXmchrEDD7Hntmf4MPrMI99lUuLnYViit9HoiD4MFC1OcBEbgAgK3T3jm/mYDsewEE7QoA3aMVgaP2ME1TVSdihZb47dFv57DUf3QrWJ2Ns5VQM8nvljINFGq6RwvgxroOARDCYLJMgaMACHoZ5Y9Pu7QZAgSA14DleBjldKrlcEbUPtsHMjfMfjJMFDd5kX8WMy9bxIICeSV91zNpDTMz4eLCRgqkXHCLNV+bbBJEFx1ytByIYu+IVqYgs/6VDAcmL1ta0uXDYi3p+sPCnBp7sei0Xv79df4BiuQE4Q1TXDUAAAAASUVORK5CYII="
( \cdot , \cdot )
"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"
\mathbf { U } _ { i ^ { \prime \prime } - 2 , j ^ { \prime \prime } + 2 }
"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"
I _ { C } ( k , q ) = \frac { 1 } { | \vec { k } | q ^ { 2 } ( q + k ) ^ { 2 } } \left [ 8 q \cdot u k \cdot q - k ^ { 2 } k \cdot u - 6 k \cdot q k \cdot u - 8 ( k \cdot q ) ^ { 2 } \frac { k \cdot u } { k ^ { 2 } } + 4 k ^ { 2 } q \cdot u \right ]
"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"
\begin{array} { r } { \alpha ^ { \prime } \wedge \mathrm { d } \alpha ^ { \prime } = ( \alpha + f ~ \tau ) \wedge \mathrm { d } ( \alpha + f ~ \tau ) = \alpha \wedge \mathrm { d } \alpha + \alpha \wedge \mathrm { d } ( f ~ \tau ) ~ . } \end{array}
"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"
\mathcal { B } _ { 1 } = 0
"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"
\delta = 0
"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"
q _ { j } ( 0 ) \neq q _ { k } ( 0 )
"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"
\mathbf { K } \left ( \theta \right ) \lambda _ { k } \left ( \theta \right ) \mathbf { d } _ { \mathrm { W I N } , k } = \mathbf { F } _ { k } \left ( \theta \right ) ,
"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"
\mathrm { ~ B ~ o ~ } \gg 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAxElEQVR4nN2TWxGDMBBFD0wNxEIsYCFYwUIqoZUQJFALsYAEIgEkbD9aIBm2j89O92tn75m9N8mkEt5X/UH/PeDcngGWto37ULIyeBGRAaZtlm9ICw5gxFjVIrICTs+QnsKI1YFIkzsdQ8IgIhKKYZ0vWCM0+j1EGgOkvnDIgPTIduX1Bgv00RbAnmcCLzIQYBa/J9+6ADhngkBnrQJ0BGe7ScRjulkBmuLdjsCMVYG6PMOxNmBU5S+A09pcbrpF9Rc/6w7IXNV8nsvqtQAAAABJRU5ErkJggg=="
\mu
"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"
\Lambda = 0
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"
= 9 3
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"
\frac { 1 3 5 } { x } = \frac { 1 8 0 } { x + 2 0 }
"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"
\langle \psi ^ { V } ( t ) | p _ { z } | \psi ^ { V } ( t ) \rangle
"iVBORw0KGgoAAAANSUhEUgAAC4AAAACACAAAAADFdLlTAAAco0lEQVR4nO3d3XmyTBcF4JXvehvgKYGUQEqAErAEKAFKkBKkBCmBKcEpQUrIlMB34N/wK+AgYNZ9lIiSbdzCdtzMfJUgIiIiIqJ3+d/SARARERER/SUswImIiIiI3ogFOBERERHRG7EAJyIiIiJ6IxbgRERERERvxAKciIiIiOiNWIATEREREb0RC3AiIiIiojdiAU5ERERE9EYswImIiIiI3ui/vo2ZBOD4l1+EgKMKK3pDULQlzBIiIiKiMXoLcAWVwnKt6y+psoK3BEVbwiwhIiIiGuOr7N2cxQWi/e2X8GzNHxFtDrOEiIiIaLgnPeAycJGq+y+srKgFs4SIiIhouCcFuHAjqOT6i3RmD4e2iFlCRERENFx/C4r6/oUnrGtPwdcvxzapiVlCRERENEL/CLhwgQgqu/zisLKiFswSIiIiohH6C3DpAK6LS3eBcN8REG0Os4SIiIhohOcj4IhQpACbe6kDs4SIiIhohN4e8OLnFwA8YZ/B5l5qxywhIiIiGqN3BPzaTnAZ3GRzL7VilhARERGN0VuAX9sJLv29bO6lVswSIiIiojGGjIAjQJGyuZfaMUuIiIiIxujrAb829wL4Luwzm3upDbOEiIiIaJS+EfBHO0GEImRzL7VhlhARERGN0leAP9oJAhspm3upDbOEiIiIaJTeEfBHP28EbKW5N/6W159UInvvSSZsM0uYJ0RERLSY7gK8CAtx/yWwsZGxTZkUxfXHOI4XDeUv2GiWME+IiIhoOV0FuPr6TpF8pbffI3cjzb3ZYxRWYCMxb9Zms4R5QkRERMv5r+N2qzY7ShDMHooZErZ9+akoNtQQsU2bzRLmCRERES2ndx7wLRL3LgiB7TRE0LsxT4iIiGgpn1aAi0dngYTFkU1qxzwhIiKixXxgAf4Y2eTAJnVgnhAREdFiPq0AZ2svDcE8ISIiosV0XYS5Ve2tvYkqlL+dCwRpdswTIiIiWsyHjYB3tvZmovX+9DcxT4iIiGg52gi4VGMeePsGf106WnsjJGz0NeITkgRT8sRDPn9YRERE9CdoBXg8avDPXWU9Um/tVckeACDWWwtuyyckCSbkiRDMHyIiIjJEK8CvFUbUcU9VQMnHr6JYY0Uibs8CGeACQt1u5wC4EZ+QJJiQJ0wgIiIiMkYrwPeiAAB16Lm7klJei5Wk734L0YZnL0uNi2t7r+RMF2Z8QJJgSp4wgYiIiMiYL20xcfkDADj6Tx6TiRSAdbZmi2qqOIFzAgCEmXJOwL9rkF84r3Qsdmu2nySYkidMICIiIjJGnwXFufTBhsWTx/iHcwCodLagJisAKQCoEEcoIPYvddW1tTf2fuLqA8Tu5yeGij0vHHV14d+1/STB2DyJPe8HCD3v2XMmIiIiGkIfAQc8AeA2ONhL7gr7PE9IL/infCUDQLh7xEkEkV8KqzgJDpCxH8TJSW8lSOTelj+R9APpucdlYt6crScJxuaJVMhSPwCcVQ7nExER0dZU5wE/WgAg49a7Vjgnp8hmiegFUsHNcxtuvgf2Z8s+XSsmCQcyPgQiqdw/E0cbjpvYAWIOgA+18STB6DxxXLeA67ou628iIiIyoToCDuEBAPIBUz4oz1rbJHNJ3NGp+4VzkRwtqNDeazd/5zaA7+LoIxURr7IbaNtJgvF5whbwhRTiDyxLmvr8YEdEtEbmTkJtR/raSpjuZX653YDxYCuXa+uJlR2zOAtYaXa0AOtYqasCG0BRwAeCI+vvobadJBifJ5xGfhnS+wtvSnvIG4mIiN7N4Emo7UhfX4p+7wCA2g3YnRUlz+/0Vl2TNQuotEhk4/ao70HUadNJgvF5whxZhNz9iU/F7t5jBU5EtDomT0JtR/p6AX7t8BUDOnwRrWxUUKqOyZolDr9B9tM+I8dfmuE5MXSm33CSYEqe/KUcWQ0VHhr/dfHi9ynP3gBKxHFm/jsb8XVR1G/4CgE4/pCPskRE9E6Vk1D/2aGx9VFH3K6EaznS13rAAWSX+5y2V3L0tfbaKL5RArLxtL6L3AWw1jUbDSribEjf9hDbTRJMyZNLC3gzd2hGMfb1mzzx0sTyz94AKkktW0k40bNZ7seToQSixzMSaYbAv3Y2eU7jqRIR0aK0k1D/2aG5VXiWa7uAkkIebm3kzSN92XC5r/3b3LJyPpzW23PYZVn+AmVZVp5Wfi7LM/Bb1jd8oPMxAJCb2t1mk6SckieXDfYbYqOb3GokVw7gPHV/z98Av457Ksvy7APB1L/SzfaBylNC9Iht+tMiIqI5aCeh/rNDy1Zt9omeI32jBeXW4VuEoz8tLE11tva6uLYRCMcCEH/9AEDs/QACtgUg+ew55uKv79gyOaPEZpME4/PkuiExPyy6CcUyHcph0HhH2tbkjqYhb4CdkzsA7KOP1HhiF8XBgtIm5VSXS1AAAHawyTcSEdHn0k5C/WeHvq22NqVD80jfUvZfl1g5vPz54c1+T+23u5enYjll6eZlWZYAjmVZ+ojKX9uxfssydzc5ljvY+VSWZWRwBHyzSVKOz5PygKgsD+674lsZa4bh4OcOaHtHTn6XDngDHO7fepxh8p1y3btbBtC/ejnq+XQy/veIiOgF2kmo/+zQtjVH5Fpw/GqJVD/St4yA31Ybj1umg1g1q6NHV1o+AOyL2PNdAIhgSwCRg9g75o4X79LjRw+AwzbevrzVJMH4PEEQpLFXrHBC87dQi0wkmTQHwAFMfpcOeAOktrjd2devoDFDOogAKe43CD0ix1nhZEFERH+XdhLqPzu0b93nv+XpWP3etX6kbyvAcekjV+GHzI51uix0GJzday/8vtwDgHNy3ZNj5Qd3/+H19xw+LEnQnSfA4eQeeZncO2XF2yd+lGJ3m9bHBkyv4Cpc2K6+W1F5gr7Y4CdZIqJPpZ+E+s8OI84dtSN9awGOgw0A8kNGZW6LqFjuvYFUXv6zrgsAjvv5M6DM4LOSBH15AvuzLxFYnwxLdNzfhi4u1wKYVBQuEABpod/w4Buv+ImIaLLaSaj/7DD03FE70rcX4NYBAJB87ElBcGGVl318koB5shSVvf8fb+N+ca75b3WEC8C3H8fpWmbZtumeFyIimqpyEuo/O4w4d9SO9O0F+G218XCF64ibEP/RCS3M+vAkweflSeZ9hwWAdPfPi01VmSrx/nkpoEJzg8ZZY+UjFXvfu1nbNPJof7j+KAHDSy9d5pAPHgV4fVJ5R7EHhYhoJSonof6zw5hzR/VI31GAY+8CA1cb355MRc/vRE99dJLg8/JExodT9qOUJ/e/+9TQAujZdxb9HmWMXWquk6ux9Gixs44n6c35Wc/eR7c+owKmO2AuA94BoFL9Bu2vsweFiGgtKieh/rNDx9Yi/Pa+v2tDXdUjfVcBjoMFAHLIauOb4xye34cG+OQkweflSXywLUclnn+w4eylkQ9Oyc7OXViHLLzMnW6GRLWYV7t9ZFm2ek+fRpEBJifNv3d8W8HtCp2ifpGpi8/9IomIaGPqJ6Gr/rODvjXe+ef8fEh/Kl9uVo/0nQW4fe3wFV132LDtXHO5++qwjksfPzlJsJ08GZgl16IvCQIA8GFi4o00tvLL3DFpx/JGk9RHwGPfud5eNc/7IwECsz3ot/HuANf/esvFBSzAiYhWovE17EX/2UHfqk4uAPdQeNXzln6k/69zT36UAMDuzPkfluN31YAruTiQSbIGA7Mk8wEI+JcP6BaQvdznLENcv3tzTHdN64Q4A0DRmAd8lveHTG+z3Btz6/h2XIH0gGYLOBzD064QEZFh/WcHbavjX3/w7SI8Pe5SPdJ3F+DYCwlAhcfJsdKr/LVfBcgkWYGBWSJ9QN5rU2Vipr0Q1rVNXpj8UFgPLIsAoCgaNf4s748QTm74A6W4NTP5Aune0m644SdYIqK16Dg79p8dtK3WvSbyE5k+mlaqD+4pwHHwFIAsGXgl2qd2Ar9RMLnpoej6AttgY26rkUmS8ov2V7lTC93I0evk3uq7kk5K6zCqplMq7xecSJOZVr88NHAAwzV+t1Aar78fHd9BrJDsmy3gRES0Gu1zFPSfHdq3OoDo6hrvK8CdfQgA6cDaah1tyZs2fUWgsKsNO5p5BceRSZJ9aLv4O02t3RwA8r7ckOzrca+kk/QeP1fTKXsEI+Ysjm8N4NZ8XS53aWq8/tY7voME2Z7zyxMRbU3/2aFjq9WzOGZfAY5AZACGVnD5wPtRp+n1xaFzBHzyLgcalyT7z1m5fikvXRr6qJMLfU9y51deQT2dPL3lrZJOStynXBKVTfXdmTFrjX+ThsHe+JdGWsd3kKDI/EYLOBERrVr/2aG6Vdr6PYuO03ZvAY6DLHAY2mbJQZ0F2cvN2DEqSVh4LEqq+ytQaeiIi2pHSiWdrK53ttQHwPX3f313Y7Ue41pawM2TcTDD3JNax7cdpEj9Rgs4ERGtRstJqP/sUN0aptZROyVOK8ALhcDshLg0SmfL9ORGYPOYJEsbniWPnhFZwH7Us/tsyiuoDXtXW8Cn7e6htdBuawE3/f6Qnn89hoYGx8ErHd9+CiGaLeD8ZoiIaC2aJ6H+s0NtawqVakf5x4/VI31vAa485XOoZkmya+WR9UxRzSRZ3PAsebSAZ4DWtu9MHVu+/YVqe8jk3fVpawE3/P5QXnT7p6QGc7rS8e06EmHz44HkN4hERGvVf3Zo2Xo7CanK+ah6pO9ciAeA8tSnrQW4NYeyw2qGnJkkyxueJeI+a0kG5+Ucsu8Hlsxwc5GL5sW6bS3gZt8fytvfjqHSZDlc7fgOgKLtn8WJCImIVqJ2Euo/OzS22sH+dh2UrK1drx/p+wrwUFrG5wOgtZDfXyYmjmSSbMjjgJIU1usfmx5lZNp+CcjkHHOaLRnGW8AbwSnv0UqVWe330W7RtrX/eFed88S32v5Z4tHNY+aNSUREU1VPQv1nh+ZW37p/wyxgaQNConIe6ynAw2xyaVV0fTP8fmlHc+VaQuyKb3ZJgeT1/wGT5B1MJYm41eAyweF2GFCh9xNP+gOOe51NPBSPFnB9d5NzrGVdSOOzgDeCi2X4WMrebr8P0gKJqP2k/9jylJNqo7oVtD2T4n6btjMiIlpC9STUcnbQjtTNrVF6e3QmEWktKMXAFpQ0fZyjR5Leeia7sHettcVqQuyIzzAlhEhSIM6EuKaMBQNLITJJ3sJUkkjYVgpAesjvK+j8+HmUTJvEf48UgArxKCkru5ucY27zYa/NAj7gDRBW6man9T6PR9Z/uv1Ye4QSWRgjzoT2AgZtnySErT87fqdERLSgykmo7ewA3I7ULVutg3cd7AoR6KukVI/06GqiPAL7rm1PnOzTxEfO4eT8tty4nhBb4zMtb77kZxuB++JumSRvYihJgODXCaIAwX13v86pLHM4PQ/qyZLcdqPI3ufAsW1303PMR/0JW/An7eliwBugevQ9td6nLM8uovpPlR+rj7gfefVudb/5pjndd6DvjIiIFqGfhFrPDvcjddvW8mi5h/wYwDrqOz1Vj+5dBfjJQjAx7F8nn/jIeeybJcCqQmyJ701+X/zLTJK3MZIklzo5j45acRtFZVke+orsvm3XvUW4Haoau5uYY3n9+srT9M963YYEN/4JTHnKe5zHP4iIiObROAmN9Lt3Xdc/VIeSakf6jhYU5Sl36kVayXxzVMt/X+HoB0VoXNM0V4im4nsT+dpkhkySSZZLkksbtbv3tQ4HOwIgp1/f6O59S5sFvLG7iTnm2rU2aOMt4MCw4MY/gSlPOfXXM7EoEdGf1zgJjWRFeZ4fg2o/Ye1I316AK085x4l/VaTR8ztNlCik4/8nh9pVUPOFaCi+d3mtAGeSTLNcklRXy7kILDxZ5H3AIquPxzd2NzXHoqz6fCVs8w35qynARbGaeUWJiKh5EjKgfqRvL8BjaR2nXgcUBvNdQWRhyvVJdlAbcZwtREPxvUs2dAH5VkySaZZLkq46uyj6CvD86bccojoLeGV3U3MscK7XtWReBkBleClZ2w0JbvwTmPCUU5/L8BARrcj9JGRO/UjfWoDHqZVPHRxNi/nGNrF3rWjCOFggKiOO84VoJr53Ec4rI+BMkokWSxLRtUBk7wD4gEUla+0h+u6m59jhssy82IkdgOTS3GLWkODGP4EJT1mI/fM7ERHR+1xPQuY0jvRfZfNOaYjDkG9Ei92peeP35LbgGf1Y+iwI6wuxGt+bKO/4QgHOJHm3l5MkTpC3VtphGr1SAKqfwj637+6VHIuLI4A4gZsjDa3ceAfKkODGP4EpT9lzZ/xASkREE1xOQuY0jvQtI+AixH5QR2Lc8lVrVqzxu1RfaDM6rjDESnzv4gUv1N9Mkrd7LUkK7ycBQm/Xsq1/BPzZfr3vAsWP97hIVNvdKzm2LzIALpyjikP3ZL4DfEhw45/AhKcczzC6T0REL7mchIxpHumbI+DSU8Ggwb8k/m22su6yliH1xRXf2hDfCkOsxPcu8oWShknyfq8liUocC4Bwmh+Iim9Mf7IqsW0ASvq3dNJ390qOQe32DiCyAvYsLdJDghv/BMY/Ik2nLiZLRESzuZyEDGk50jcKcPVTOC1NA03ZrqUEU//cBZopnvtWv7cfVxmiFt8WMEmWMFeSpKHRJ2tud0YPfqvF+puIaJUMnoTajvT1FhTlFc6g02e6a/veOqtMh5B532EBIN398+LXF9MWceh52lwQ8fftO3mVPPl23lH3O2SNOY9V4v3zUkCFrzWC1OMbEaAW3wZsKUmmvQh/KklemAV83t1Zx4Xm53wri/U3EdEaGTwJtR7pa4v3BLCGrL/96wN2y+0BtGU3T/b517J+f93gXJ6s1xfTPrgWtDX2Tvf1r8ugf7W+sowe639WQizLsjxaTl7+BlHpNpa/fim+MQFGm1p9ekNJMvFF+FNJYmPIq7nU7oiIiD5QbQQ8TjFgtoEi/s7QOi+v1Cctiw+25ajE8w82nL1su/xrlCA/658gssfsw+LZxMou7h9jZG1etWRn5y6sQxaK5jIlr8Q3JkAtvvXbUpJMfBH+SJJkXgZkhWNoyNrw7oiIiD5WtQBPExyenT1lsvtOFIC2STD0r5+Ly0QSSRAAgA8DM31YenDyvkZfUTz/1lurrSr3TePrFwNB+vpa15X4xgW4nQJ8U0ky8UX4I0kSCgkVW6YmXDS8OyIioo/1n/6LDOHbPct9SKWK++any01kPgAB/1KDWUBmdmTsMdtZbSGQFg46CjsZIrKudzHbCjsqwM741mdbSWLkRfjYJHGkkya2sYtMDO+OiIjoY+kFuPSAbPC0h+1jm/ovPiDvRYWC4fJBW/9a1kYVmx7f7deCCGFF9/2ZnetsTIDbuQxrW0ky8UX4K0mSp9I6mquXDe+OiIjoY2kFuApHzUHR1t1b2UHk6AVLb2FVdH233tNwq9VCYxYSqT7HVN6fh+z7Y28McN0WTJI3vgh/JkkGraW02O6IiIg+lVaAj5tfLXg6HudA73CVQHc7QtjV0tCz9Mi4FvAO2cD6Z7EA12bBJFnsRWCSEBERkVFaAR6NGr8att7yo2Ap+h5y6Bw7HLLrSl9AogrlD30mStwHaUXvHzMX4Kj41mfBJFnqRWCSEBERkVlaAW5g/K0+4CmVNseaViXLnV8ZFLSHVWq67ubZrLXxoTVEiY5L4OYMsD++lXtjkiz4IjBJiIiIaEb/Pb/LCPXy7PHlvSxgP7bGxcvX2nU1z0ZIWtoEHk29lRAr9Y/eqTtfgM/i+3xDk2TBF4FJQkRERDOqL0Vv1qPDNQOix+376OW5guvNsyq+bhBtI5Gys3f3dt9qd++MAY6M7/N1JcmKXgQmCRERERlkuAB3UbkQTdy/SM/gaD2tzn78t/U14l4VXUZQhbpvaC1T7iOXeoj2vbbKqsOeMwb4LL7PNzBJlnwRmCREREQ0H8MFuFP5nvxRxCSF4fXxtBLuUhYJrU2g7e73G53WVoN0hgme2wN8Ft/ne1uSTH8RmCREREQ0n2oBnsQ7L31ld9XF+sStxJADVi8fR9xbYsPL9G2Zf9/SUiQVjxv1EB33+kso+iZrNhrgs/jW79UseVuSTH8RmCREREQ0n/oIeNazyPhD8q9jg1uprSRsKwUgPeT3SR1U6P3Ek64nkyITkJkoABSAFABUiCMUEPvX0ujaPRt7P7H2UPG4uK8S4h7pZSfa2ObkAPX4OgN8Gt8WvJYlA5Jk6ReBSUJEREQzKquAc9kvzyO78bA7H7/6zoJfJ4gCBI8bT3ZeHhE9+SOtbtVPVJalBd+1oihyorKMEEXO7S9ECMry5B7KCKfHH9X/YCXE3HajyN7nwPHlAPX4OgN8Ht8GvJglT5Nk+ReBSUJERESzqdVIOexnj3D96NxdgOc4aD/jWJZ5dNRqmV/nVJY5nAmh6k7AoTwdovy3LMvyvH/8UReH8uSeyxxa7bLXC0Y9xPIaX4RbwTV3gM/jW79Xs+RZkqzgRWCSEBER0WxqNVKEYNCjOgvw0va1nenDiNfborIsD3AHhtdl3zkGC5xz97csf31tvFALqvFbWZZl6d6LqbkDHBDf6r2cJU+SZA0vApOEiIiI5lJbiKd19oVRorC4zawmW65Zs30jf0V2LTsoYKXqaAHWUbuxqMyuoYX4eNitNWDmAIfEt3ov/3ueJMkaXgQmCREREc2ldhFmx/zDIwTOfYKMtp0FlpG/0rkHAZUWSW2FwtSv3FsL8f6oezE1c4BD4lu9l/89T5JkDS8Ck4SIiIjmUi3A22dfGOeQFredoX2Uunh5PjWpukYfJQ6/QfZTKZ6E2HeEeL9HdYLnGQMcFN/KGciS50my+IvAJCEiIqKZ1AtwF5Cenbv18bfhnOC+nHZHbWVi6LB7BNyFnyMEHhPJJVEtjnuIVyqDrfdBzBjgoPhWzkCWPE+SxV8EJgkRERHNpFqASziQ8SEQCQAkX3XJkF3uiwwovJ8ECL1dyx1MNM86XbW9bd9W7N5dp2mO7ag1xKvC874LFD/eo96aL8CB8a1bJUvmSpLlXwQmCREREc2jehGmgCuSowXHtx0galQYw0qOfGc7luNY0BaIr/2VKaFqVN8A+LU2EteL+1KRt4d4/dFy7AiAko9VYOYLcGh8q1bJkrmSZAUvApOEiIiIZvFVar8IzwrUfsBq218o+zar3b6nCiu++x89gCo69u+JQwDgn32CF7kAkKZ52xPqC3HGAAfHt2KGsqQ/SVbxIjBJiIiIaA6VFpTW2RcmsI5Fz9bXhw5hddVF0vIBYF/E3nXSCKu9dOkLccYAB8e3YoaypD9JVvEiMEmIiIhoDpURcE8cgiwuDsHTR70y+hem0WwTOhTXS/qU7JgnfIgZAzQS38I2nyVMEiIiIlpUpQD/wtm+frcuHSCrz4SMwL/d8YXS6rs4vXr52rxWH+CyqlnSnSSfnSVrj4+IiIjWS78IszL7wsmC06gwXhyQy9LAR1Y097sWqw9wBWpZYjxJVv8irD0+IiIiWrtqAV6dfcE2/R17qBxfxdZ6l9RefYArUMsS40my+hdh7fERERHR2ukXYV5mNnYtAElvg28KiCl/zLGc9MfO1zt0uPoAV+DPZ8na4yMiIqK103vA/+FsAUjjQPrdpZV3q6rc8VMTp4XlrrpwWX2Ay2OWrD0+IiIiWjm9AOfsC/Qcs4SIiIjoJV+vriZCRERERETD/e/5XYiIiIiIyBQW4EREREREb8QCnIiIiIjojViAExERERG9EQtwIiIiIqI3YgFORERERPRGLMCJiIiIiN6IBTgRERER0RuxACciIiIieiMW4EREREREb/R/SDLZBOCZF/QAAAAASUVORK5CYII="
\sum _ { k = 1 } ^ { N } { \frac { \mu _ { k , x } } { ( p _ { j } - \mathrm { i } \mu _ { k } ) ( q _ { j } - \mathrm { i } \mu _ { k } ) } } = - 1 , \quad \sum _ { k = 1 } ^ { N } { \frac { \mu _ { k , t } } { ( p _ { j } - \mathrm { i } \mu _ { k } ) ( q _ { j } - \mathrm { i } \mu _ { k } ) } } = p _ { j } + q _ { j } , \quad ( j = 1 , 2 , . . . , N ) . \qquad ( 2 . 2 5 )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6UlEQVR4nL2TURWDMAxFHzszEAu1gIVawAKTUCQwCZ2ETUItgIQioUjIPqA0hbL97Cw/kHDpy2vTivE5Ll++/wC47vJue9N6eXIeCTVLoTq66EZlRcr7cHnxCNQg+JQeXDxGXWM6lwgE18YGSyvc51YT5tMVBpBnC33apIZhdvK3HLBQgdlD2MiAoGCZmQFXBswqrtAXAQ8MqZOCzRtMDQBQGEs2n4KlgkRQcsPCUeI+qVh0EBqxOGTeko0N0GhSO4R2D/QgMQQ6ncYKBJJHzE2SRqyoIAATt2xz8YKhfDCijcJU5/GHu/kGTm7VRNwFweQAAAAASUVORK5CYII="
\bar { A }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtElEQVR4nO2STRHCMBSEFwYDsRALsRALQUItpBKKBJBQJKQSiIRWQiLh4wItMy1w4cie3uzuvJ+dt0Ofsf+i/w0PHOZqyM1l8uGtob1auXpcJ88TvoEkGFMaGWd6MdgbJA+4CGGmlx3kpMFJMqGe4npE8kDoAZWmsB7RRcAWGK1/0ZlzmIw0yUiTq6etKwrQByDG4vqNDkZStpKqM+c2b0edJeUhV9cdN4ICfGSF3f+rf2S4A/9Ixq5gjj6BAAAAAElFTkSuQmCC"
\eta _ { K }
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABc0lEQVR4nO2US3XDMBBFb8JAhaBCEAUHgikoEFwIMQQXgg1BgaBAcCDUEF4Xkh1/4nTbRWYjnZmr35tnH8TrOP5RfwP/F7iePw+n08fhVA9jSrNoLL6VpFhi2pSbAbHAxYmFZgU0hmq2W5UJ1okpLKafAZ7F+rTCP4ALFMu6ApgJCGB+VoCAIB0BhjN480SlaxaqvmOqF0re650NRqAG/KtedFDaZ+dnoBvAbZfeAAfHNCu2wD2npSIpsg4DLgnFVkVJEbgoC8X2inyD8YyO2oowdFmbPU/WQxb3+PSJDN/QmAdwXwPnAV+mqdSClST13tjkmhZcbj+SLERJ0Qb9+EpSNFNdJL6UZKMkmWU9OaqCRjGpVcSlvRkN2gSfAIcNWgMKFmfaEC4lNrs/D4fxT3u93gDjvnyTmnnqx2euvOzSWFaLI2YAfbpVvwu4NrTF5IAnQIp+D8itmz7kDdAu649nTtF1g/MPi22BVfzDH+kb2ItfXMc6c6ScUR4AAAAASUVORK5CYII="
Q
"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"
3 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtElEQVR4nO2T0Q3CIBRFT40LsAIr1BHoCK5AR6ir4Ah0BDsCHcGu0BGuH60pGmITP43vhwQOvHdPQiU+12Hn/BeBoW2qph1eCW3lcfEWHV22pwzocJKkmlgGDEGSFLAZkM0wYwGwTONeiv67mIbl5RHmYsyASZKSIQ963FDPpfFw9WOuKgPw537CJHta47y32NxwL4p6VlyNFlQvqyOVTUILzO0QaoozBINxDpffl6r/vwDgAbrj8idrj/MTAAAAAElFTkSuQmCC"
^ 9
"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"
k \geq 2
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcklEQVR4nGP8z4AfMBGQH1VANQUsyJz36XvSGN7f6zBGFvyPDMpD////36GELISqwKUcQwxVgeBuDDEUR75/r8TAwHAWty/OCioxMDDMcsHpi7PGDAwMs1afQRZjRE5yyu/TGM4qlSvhVIANDIbIGiEKAKe2a5zr5LSkAAAAAElFTkSuQmCC"
D
"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"
V _ { n } ( \pm d / 2 ) = 0
"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"
\phi _ { c w } ^ { \mathrm { H } } ( c ^ { 2 } w ^ { 2 } ) \sim ( c ^ { 2 } w ^ { 2 } ) ^ { - \gamma _ { c w } }
"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"
{ \sqrt { 1 - x ^ { 2 } } } \cdot { \frac { d y } { d x } } = 1
"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"
C _ { \mathbf { M } } = \mathbb { E } _ { i j } \left [ C _ { i j } M _ { i j } | M _ { i j } > 0 \right ] ,
"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"
A = ( p - k ) ^ { 2 } - m ^ { 2 } + i \epsilon
"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"
\begin{array} { r l } & { i \partial _ { t } a _ { 0 , h } ( t ) + ( \psi ( p _ { \tilde { m } , h } ) \triangleleft a _ { 0 , h } ) _ { 1 } + ( q _ { 1 , h } \triangleleft a _ { 0 , h } ) _ { 0 } = 0 , } \\ & { i \partial _ { t } a _ { r , h } ( t ) + ( \psi ( p _ { \tilde { m } , h } ) \triangleleft a _ { r , h } ) _ { 1 } + ( q _ { 1 , h } \triangleleft a _ { r , h } ) _ { 0 } = - \sum _ { k + j + l = r + 1 , j \leq r - 1 } ( q _ { k , h } \triangleleft a _ { j , h } ) _ { l } } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwklEQVR4nOXTQRGDMBSE4SVTA7EQC7EQC1iIBSxgoZVQJGCBSAAJIOHvgdK89tDeOtPpO37ZzOzkQYPej/tw/huBk6ShyGf/7NVYU14Zw4gZY6JLAFc/m4AxzToD4HM9t+YuCpKkONQC1lxR3HUrj4A1V7T3j1pMoJrbDB9j7Ru7OJ54OZpLsubivdymug1rLh6dfTIBY7N6AJQBpjwB1kQXAPp9WUkJsCbI7cw5TPsa73erNUhlUGhfPpiHNf/x49wAOm67I06sqAkAAAAASUVORK5CYII="
0 . 0
"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"
g _ { d } = 0 . 1 5 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAl0lEQVR4nO2SUQ3DMAxEr9MIhEIpZBCCJRRCoYXQQmghbBAyCoEQQ7j9TNolUre/ffW+ovOLfLY8EN91+VE/gbeu8rbZmU0Ou0Vx+VHcyOSZN/GoLcoO4AlzTQ+BayVjIFMSUwGSOeTWoIZEWc2P/Rjdh+RrayiQSd6xtIBOcZsBoBxvcgxAQWwBDTk9XFmXLuVwHu2/gBfsoKrG7nrp+AAAAABJRU5ErkJggg=="
3 ^ { \circ }
"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"
\pi \epsilon _ { 0 } \iint \epsilon _ { r } ( \rho , z ) \hat { e } _ { \nu ^ { \prime } \mu ^ { \prime } } ^ { * } \cdot \hat { e } _ { \nu \mu } \rho d { \rho } d z = \delta _ { \nu \nu ^ { \prime } } \delta _ { \mu \mu ^ { \prime } } .
"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"
\mathbf { R } ^ { 2 }
"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"
c = 2 . 8
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAVUlEQVR4nGP8z4AfMBGQH1VAEwWdjOlnGfakM3biUmDMIGjM4CLIYEySFSwovLMVDAxn8Skw7mBgqNiD05FYAUkKVjOcncVQcZZhNbICxtE0OWgUAADq9g6uGflPZQAAAABJRU5ErkJggg=="
\mathbf { H }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABU0lEQVR4nM2TQZHcMBBF3wwDBYIWghaCB4IDwRS8EExBgaCFoIFgQ/BC0EB4OdjjGleqNpcc8i8qdb9Sf6lbF/le17/k/xHw+Hi/3d7efx3B5efb7fZjD2jrJtWauqaqOVW1JVJTNJUt3uKg6hyqqit0ijm5K7OqjjCpmmD2yhKepSNfAAssAAR4cOXrvpx9D9AD8IAAjqR5KzEGX9UgKlZg3MzlE5ChKNoDqf6Rb5FBRVsP0Md6ypcUihugUwBegdJ1kWl9AnM3dDydHJoT4wZkspYADCdihUGxkFXbCJxtDpClhX7f10A8ARNEyZSjKqxqnfauVkBG2suZVQukF+A0UYG09erxMlGR+7F5pK2z+3KHDlo85qGFoq7HXRJUcQ7D5mJN2zvkuHU3Q1Z07sJYaxni9Hzo2OdaR0JRLwLL50JM/TFafC4LMQ0Al//k632r38YVqvkHQlKIAAAAAElFTkSuQmCC"
8 3
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABK0lEQVR4nM2TXZXCMBCFPzgYGAuxEAtFQizUQlYCSEglFAlFQiuhldBIuPuQ/rDAYd/27LxN7jfJ5E5yEJ/j+Iv+F8AJYGoGsCrYsphv94wLFQCS0iK4XpKk3vm2S0YtSUgthBgDYKMkzeYlaTRiASJtqaPU1HSSpIjNBajLzh2YpBEr+QhJOsJQmqFyZOCGX1oyBjjC0i04AIYVwDPBCer90h4Ytsy4/zTqTgCmLXdPTja4h81erc5XWvsEXKfkX/UdaK7xzQE7MHzVl1fVb8BwDmlZNPIG2ArkXS/2lCo8IEmzD9oirrOQo5OQNHs/70AL/TIsJ+kE+TylZj33QnBTkwAaIoBU8RBl7J2k3qrlRfEEqDXqGC3MknR497PybYJQfH0LPMZ/+HrfBvvTarRTtPgAAAAASUVORK5CYII="
2 0