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"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"
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p _ { \alpha } ^ { r e f }
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"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"
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\delta _ { L } = \frac { \alpha ( L _ { e } - 1 ) } { 2 \pi a _ { 0 } ( y , z ) } \Psi ( y , z ) ~ .
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"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"
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\lambda = 3 5
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"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"
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\theta ( x ) = \tan ^ { - 1 } \frac { 2 x } { 1 + x ^ { 2 } } .
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"
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\begin{array} { r l l } { \xi _ { \operatorname* { m a x } } } & { = } & { \zeta + r _ { m } , } \\ { \xi _ { \operatorname* { m i n } } } & { = } & { \left \{ \begin{array} { l l } { 0 } & { \mathrm { ~ f o r ~ } \zeta \leq r _ { m } ( 0 ) , } \\ { \mathrm { s o l u t i o n ~ o f ~ } A ( \zeta - \xi _ { \operatorname* { m i n } } , \xi _ { \operatorname* { m i n } } ) = m / \nu ~ ~ } & { \mathrm { ~ f o r ~ } r _ { m } ( 0 ) < \zeta < 2 r _ { m } . } \end{array} \right . } \end{array}
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"
|
\angle F B D = 9 0 ^ { \circ }
|
"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"
|
\mathcal { F } ( m , T ) = - i \int \frac { d ^ { 4 } P } { ( 2 \pi ) ^ { 4 } } \frac { 1 } { [ ( P + K ) ^ { 2 } - m ^ { 2 } ] } ,
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABFklEQVR4nO2UwVHDMBBFfxgaWEpQC2pBKSGUYEpQC6EEtyBK2JRgl6CUIEp4HGwHDHg45Mb436zd/+TdP6MDuk8Pd/p3wA6QJD3+3XK5XOMpSHobr6ELkt5fr7GzucykoWNDvZWarcIpeo3WoNm5dtam8gLIpw1/sx6IHWQHl0NO0HReAbJCyr8CXA504ctXykBKK0CTL47b7BNwUAHy3NdFQBlItgL4MspPhQRu031udQEsyDnGS9oModjxeUwmSeOLh9t5WsU4xk1ALJKesqT3Y//ZNq5jtP72y992AEBRBeIZWoUYAcurHai01DbXMFgP9MHdc4aigcHqCtDpNGzZPUUHmMYvQB9SLHP1sD+qO+B/AD4AFVuxcMprhDEAAAAASUVORK5CYII="
|
t = 9 2 0
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABC0lEQVR4nLWT0XWFIBBEx3fSwLZAC7RAC7ZAC7wSTAmmBFMCloAl+ErQEuZ9RGDFnPiV+fKwF3Bnlo74W4+b+j3wUT/37+U1w4ntjSZ4aPN1za8sysAkkBBJMgYDGVpgBMJWFoPAn4EREqmUBEEDCZLIhpgU4DCwUYSpQIRr62SPsQA+H3e6BLYAItc6abCR5APAbn/z2GEpVlvg2ZS9EcxOZfHZ7s95ZCA0gAEgBViA4fIPO2xO0+CmC4evaxPzy0k+IWVbtZxykn3Jrmg8jPwBVjnwarQgKYATzkSsO+pE9WUQt6D43GEygB8TuU5eIDXeakEowy5qPNmppzfPCwBre+1H9/9v8xZ4A+oX0NtvFduUAAAAAElFTkSuQmCC"
|
\circleddash
|
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R = { \mathfrak { a } } _ { 1 } \oplus \cdots \oplus { \mathfrak { a } } _ { n } , \quad { \mathfrak { a } } _ { i } { \mathfrak { a } } _ { j } = 0 , i \neq j , \quad { \mathfrak { a } } _ { i } ^ { 2 } \subseteq { \mathfrak { a } } _ { i }
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-
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"
|
5 3 \div b = q \cdots 3
|
"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"
|
\Pi _ { n } ^ { o } = 0
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAVUlEQVR4nGP8z4AfMBGQH1VAGwVnTRgZGRkZGVFU/EcCoXf/n+n4jwpQFLz7/79jNz4F////N0bj/0dz5D1CvthjTEiBEoYRaE46g+4GxtE0OWgUAADqKYEn3PKZzAAAAABJRU5ErkJggg=="
|
\tau
|
"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"
|
\delta _ { \mathrm { ~ M ~ S ~ C ~ } } = 0 . 0 5 4 8
|
"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"
|
\tilde { \left ( \cdot \right ) }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA+0lEQVR4nNWT222EMBBFj1fbwLRASnBKICXQAi4BSiAl2CWEEqCEUAIuAUqY/TAi7PLIX6TMj688x6Pra9ko13X7pf9nwOxMv90M78YY81ZHAB2/KoFO15oKaUYdfQaNKiBl8QTkdkqghUrpVLXaAl6mRY3AeMtfXfW4mFRWQtjfYpjbsEiBYQ/YHynAfQdUItUi50PA+o0d8qskhwEpr4AavFwAnz2+AH0Nag0MvKruTS4VnHSW8+cOzo6WcyC48ls4B4JrUhrh49BDqH2ZVLRHE0LdLX1aOZgQXFYv5yP23kNsIQBiU58YVzpLi80AclVVladxav7D13sA2daTozp3h74AAAAASUVORK5CYII="
|
^ { 1 2 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAUlEQVR4nLWTUXWEMBBFLz01EAuxEAuxgAUqAQsggZXQSggSQMJGAkh4/Qhd2Gxgvzo/k3PmnjczeUklruPjTf098HlaiTe6S4W+T1knsRizSNJpi591MJcK1qd8BgSmdNharDM4AzCvGAcMjuOQA9BJkhw0R6ltzUaWCEDXYI/DPu7BM6ZscEXAElcAZvzTvvvYfKe9vAozgIcZYMwEdi/8H1A/X+lDq01n61RugYMZxpgJ7Ap36CSfPNzj4IWlUaDVKVBjF2tz1w7vwRK/YiCPnQ1kPuUtBHYpA/dJkhZjppd6AlovKbjNjALgaVqHCYW6KgF9jDhbm5cNgOr/P+8vvWesUviD+u8AAAAASUVORK5CYII="
|
y ^ { \prime }
|
"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"
|
p ( t ) = P _ { 0 } \cos \left ( \frac { 4 \pi \nu } { c } \int _ { 0 } ^ { L _ { \mathrm { e x t } } } \delta n ( t , z ) \mathrm { d } z + \Phi \right ) ,
|
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"
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\begin{array} { r } { \begin{array} { r l } { \mathbb { E } _ { \mathcal { O } } [ f ( \underline { t } _ { 1 } , \underline { t } _ { 2 } ) ] } & { = \sum _ { \underline { \tau } , \mathcal { O } , \underline { t } } P _ { * } ( \underline { \tau } ) P _ { * } ( \mathcal { O } | \underline { \tau } ) P _ { * } ( \underline { t } | \mathcal { O } ) f ( \underline { \tau } , \underline { t } ) } \\ & { = \mathbb { E } [ f ( \underline { \tau } , \underline { t } ) ] } \end{array} } \end{array}
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"
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\Delta G ( r _ { i j } ) = - k _ { B } T \ln \frac { P ( r _ { i j } ) } { Q ( r _ { i j } ) } ~ ,
|
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\begin{array} { r l } & { \frac { \textrm { d } x _ { C C } ( t ) } { \textrm { d } t } = \frac { 1 } { \Delta t } E ( \Delta x _ { C C } ) } \\ & { = \frac { 1 } { \frac { 1 } { n } } \bigg \{ \frac { ( k - 1 ) x _ { C | D } + 1 } { k n / 2 } P \Big ( \Delta x _ { C C } = \frac { ( k - 1 ) x _ { C | D } + 1 } { k n / 2 } \Big ) } \\ & { - \frac { 2 ( k - 1 ) x _ { C | C } } { k n } P \Big ( \Delta x _ { C C } = - \frac { 2 ( k - 1 ) x _ { C | C } } { k n } \Big ) \bigg \} } \\ & { = \frac { x _ { C } ( 1 - x _ { C | C } ) } { k } \Big [ 1 - ( k - 1 ) \frac { x _ { C \mid C } - x _ { C } } { 1 - x _ { C } } \Big ] + o ( \omega ) . } \end{array}
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\left \{ \begin{array} { l l } \end{array} \right .
|
"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"
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1 - { \frac { \arctan { \frac { R } { D - F } } } { \pi } }
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"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAHZklEQVR4nO2c3bmyOhCFx/OcBvKVwC6BrwQsAUtgl5BdgpaAJUgJUAKUACVACZyLrUKSmZg/1COsKwUkL2ExGfLjboRNa9Y/rwbY9FptBli5NgOsXJsBVq7NACvXZoCVazPAyrUZYOVarQG+Tq8msNFytGs1QNOlr0aw0IK0H22Ac0fuKuJI2Tb8LAnzWDQuRhsIN4wB3jSenr++qTotlEeq+371VdC4Km043DGAamhDnCa42gwgK7E9F+hND32eSAaFNiCuhQFy8i7zGNnYcwec0GozBglSUVkqfC0TgOwNTEzgSrRBcS0MEJOFRkdlU5uxIMHFWz1nEOfyVjbfckmA8Te4/eNI4Aq0gXEt7tJLIlQA9ccIolxAnBPnETAuX8ALpeIK9RsadydNCOnOapqQ3VLQ7lQMCU/k/d/DRfhenSrIOJK34iVwZpatUNIi/+p86lg2K+dOPJzPXcQzywK8iO1xp/pdAlcyRIkcMnuU3SNUX18/1JzHCkHt4ekHyDMqhZgziJTmQUFGiZ2R7XHv9bsErtIEZACQTF/bMhXxHCNUH0fTlxLgljaWUTKO4xjFHg54hHw/SiFOIKNPO0dWid2RbXGn+l0CVzFAHwPAPKnrFTzpJk856q850HIyqKcvJcDd3jwZx3GsWar+xlQGyGMeQXQv806cRxAdqfs4R1aJ3ZFtcaf6XQJXTQJrBsDq+SGqP60jFIf5jiNMX/nveXLweGt8hNyLZD1c7p/pnEpARojdke1w57QL4CJvARcAiGaFYAHKMkKVINiPz1q9G1+GFmMoLXLLGSRz/+VMYEuAIe+3IjJG/AC55OReK1yRNjgu9hrIxUYKSR8sI1QfMWFzgnRA9ox5pAE0cpuB3LeSSj4tU7VfRULGiB8gc02AsMGVaQPjov0AMYCG3j5CiQ3AOAJEyjF+jQCFXGYAWS1uE4h/pVa7hIwS65F1BrDARWiD4qIG6Bn2anIt3D5C9RJOC4AlJJHPiAKKjHeZSsRXJs4gmapaQiaItchaA5jjorQBcfGewBIA0PDmFKHkqijx+HL0CgEYcowmTArxr3o+67yWkAliLbLWAOa4BG0wXKIrWGqkbid2i1Cy8TggPxrHHlCzmwpBztGEBC18HMexnwKbhEwQa5H1BjDFpWkD4f6L9w8euwKqExe2oT28BVOHqqOcn8/7JLvuqTppOsMA0FVQAYDQCcrippK7mYcDRod1pmHIaJ8pRnwFuB8vIxPEKLKhDHFp2lC4lL2iYBGKy2+HMwahDOyZQS/dGBlTZtDQyMgUse4xfxABDHFNaL1wiQgAAFBKYwhZqg4qDMVF2fZb8JEX148dSL+rID7eDhN3Ncr50YedlIyMKTc4j4xME6vIFjLANaH1wqUM8N3lsbTJNUIN0o4GIEbjplwgADCLAIsgu0pCJokxZFO9CS4xJ/CnyB4MOl7LMjpKVAdySLjKb1jYFNlBJLG6edjddILT/TPyy/fApSJAdbrHEL2MIpSkBsAxcdLJGNlBFsSmJn4TXMIA3YFd5ldSdSHN2nlFTuqkSyJbEE9JS3HO6Mn874JLGOAwXITXisJzzo6oTslMrqo8TrooMkmsIk9JS6VLYPS4HVWcmSxw8Rzgu+Gid+n1FSaS3dgIWw66Q2dN6lxqGQTyYb/b7f7urfklDg2xWzAjcE/7v7vd7mu///OHXNCAyQcXMcD5nErNk8+rDkAs/r4RKJpmvkeZR2j4JFDIlzKBtC6p6YmkRGSaGEM2EIXLyyPApS3bNj3/tah0H1zVANV3JKZ21UF+kbNTAtX8BI1wW6sZUQVqo4l2fFggD053SESmiVHkh9LXcAIAUR7ZLPzywVUM0Byg+yME3H0hH2MnlsH8DGKKUkyfz4D0NJlIh9w4vXGIyCSxG7IeN/o9YWqTEfngykng8O33uGPKzsWU43YFQHG7uGGe/RZ43/1D6ZAbx0Z6jkwTOyFra7i74XZWxvXBVbqVMXmu8ppNe1Uu676nRIYfjaRDzl1HGCdkmliPTI0FaGs4uX7oGT0KGBb3Keu3WoYtHpSULLHClLu6yh/50WAQqtv9ynQTwBG54z5nAZ/BXI8jqAsM/ZU4By9v5Dyh13BQqgH6cRwvMbOtDGfcJ63gTKHWH1Azx0dVL8tIOtcrkHNgIwPI0JkserniPskAfawf++69lgaRasG9XXkFModkvLilXK64z1rDXesbqZg98K+bSp8/wHgBcgJcnNRvIUdczYSQoIpLbc9WFocfHwKAymfc8QXIDcQAx6o5tPbdC4648vLwz9Kh4IsNui6g7gvqGKD7O6TERKvw+uh/CZv3fTfhO7iC69ptFeVQPO3/qj7bAN1kgH3QIe1ldOu3TlP48RuAM9dHG6CapsY0LmNCz9a9IziPYIEueVQfbYDmNs46VD//BwPcx39YDs2z/rXS4YXjf6JWeAN4hz+t0ypPIgCWXDlT0P0bTEB99lvApof66CZg02NtBli5NgOsXJsBVq7NACvXZoCVazPAyrUZYOXaDLBy/QeJwBhZfv+gzgAAAABJRU5ErkJggg=="
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\Sigma ^ { > / < } ( E ) = \Sigma _ { L } ^ { > / < } ( E ) + \Sigma _ { R } ^ { > / < } ( E )
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"
|
N = 1 4 3 k - 3
|
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"
|
\Delta m g ( H + R \cos \theta + R ) = \frac { 1 } { 2 } m V _ { B } ^ { 2 } - \frac { 1 } { 2 }
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"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"
|
f ( z ) = { \bar { z } }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAUklEQVR4nGP8z4AfMBGQH1UwYArOVry/l44q9B8FhO7+v1sJRYQFzcTOs6F38ZlwJk2JYTeKCKqCjrv//6eVowihOrLzHgODoAuKEONokhs6CgB252LhBJQzYQAAAABJRU5ErkJggg=="
|
s
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+hYU7y1kY1JzT7QNI9f92H6/fQsIt2/haDBjUnLM5gN789x+YIFtOyaDmnGwV6F9Z/7H8Fs7VA7BLgcDph2l2e9WyMaeaBLPLYF/PznEtm3KqIVBhYwksO3MqB7BY9uZUQyCLZW9sD2D5aKwDWD4a6wCWj8Y6gOWjsQ5g+WisA1g+mv8BD6x7rlFVobgAAAAASUVORK5CYII="
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\tilde { T } _ { \cdot ~ \nu } ^ { \mu ~ \cdot } = \frac { i } { 2 } \left [ \overline { \psi } \gamma ^ { \hat { \alpha } } e _ { \hat { \alpha } } ^ { \mu } \partial _ { \nu } \psi - ( \overline { \partial _ { \nu } \psi } ) \gamma ^ { \hat { \alpha } } e _ { \hat { \alpha } } ^ { \mu } \psi \right ]
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"
|
- a = 9 - 4
|
"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"
|
\alpha , \ell > 0
|
"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"
|
C Z . 0 2 . 1 . 0 1 / 0 . 0 / 0 . 0 / 1 6 \_ 0 1 9 / 0 0 0 0 7 8 9
|
"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"
|
\kappa \rarr \infin
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1klEQVR4nOWTXRHCMBCEvzI1EKwECakELGCBSqASQEIrIZVQJNRCkLA8lKQp5eeZ4Z7uNjvZ7zKTQnyuzZfzHzPcmrraFvU01FWVHHpU8CegnQYz66mRAhAkSR5sVDOGHqyJnXsBeU1yB3bFIFnwMeGRtWAIyX3IEDJDC06SNALHJG9yhCm4IWPMGCKCX5KldoyydTFrGRF3r63Nl6R8Qrj0fgeOm3lmcNBKZxNGQCGFlPNldKbrvLkCfbNfbbEHMIN0YvEOydACdpA0gDnPWxR/9i/e1R1Mqgv54ZD5GwAAAABJRU5ErkJggg=="
|
u
|
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"
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\frac { A B } { B D } = \frac { A C } { C E }
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"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"
|
{ \vec { r } } _ { u } : = { \frac { \partial { \vec { r } } } { \partial u } }
|
"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"
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r _ { f }
|
"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"
|
5 - 4 = 1
|
"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"
|
- 1 . 2 5
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAX0lEQVR4nGP8z4AfMBGQH1UwUAo2MjAwMBxNxqngxhsGBgYGhqMomv4jgc7//zcc+f9/DrIYignCDAyb1BneMOA0Ien/a+HX/5OQhf6zoKgWEekUFd6IIsQ4muSGjgIA5t5GDrY5sN4AAAAASUVORK5CYII="
|
\omega
|
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|
\begin{array} { r } { y _ { 1 } ( x \rarr r _ { 0 } / a ) \approx 1 , \qquad y _ { 2 } ( x \rarr r _ { 0 } / a ) \approx \frac { \ln \left ( x - x _ { 0 } \right ) } { R ^ { 2 } \partial _ { x } \left ( x D _ { A } \right ) } . } \end{array}
|
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\ell _ { p } = \sqrt { L / ( 2 | a | - \rho _ { 0 } \lambda _ { \odot } ) }
|
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"
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\begin{array} { r } { \operatorname* { i n f } _ { ( \Omega , X ) \in \mathcal A _ { m , N , \rho } } E _ { \rho , \lambda , N } = \operatorname* { l i m i n f } _ { n \rarr \infin } E _ { \rho , \lambda , N } ( \Omega _ { n } , X _ { n } ) \geq \operatorname* { l i m i n f } _ { n \rarr \infin } E _ { \rho , \lambda , N } ( \overline { \Omega } _ { n } , \widetilde X _ { n } ) } \\ { \geq P ( \Omega _ { \infin } ^ { 0 } ) + \sum _ { k = 1 } ^ { K } \left ( P ( \Omega _ { \infin } ^ { k } ) + { \frac { \lambda } { 2 } } \sum _ { \stackrel { i , j \in I _ { k } } { i \not = j } } { \frac { 1 } { | \tilde { x } _ { i , \infin } ^ { k } - \tilde { x } _ { j , \infin } ^ { k } | } } \right ) } \\ { = P ( \Omega _ { \infin } ^ { 0 } ) + \sum _ { k = 1 } ^ { K } E _ { \rho , \lambda , N _ { k } } ( \Omega _ { \infin } ^ { k } , X _ { \infin } ^ { k } ) . } \end{array}
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"
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\begin{array} { r l } { B D , E I } & { \quad x ^ { 2 } + y ^ { 2 } - 2 4 y + 1 6 = 0 } \\ { D E , B I , C I ^ { \prime } } & { \quad y ^ { 3 } + ( 3 x + 1 2 ) y ^ { 2 } + ( x ^ { 2 } + 4 0 x - 1 6 ) y + 3 x ^ { 3 } - 4 4 x ^ { 2 } + 3 0 4 x - 1 9 2 = 0 } \\ { E F } & { \quad y ^ { 3 } + ( x - 1 2 ) y ^ { 2 } + ( x ^ { 2 } + 8 x - 1 6 ) y + x ^ { 3 } - 2 0 x ^ { 2 } - 2 4 0 x + 1 9 2 = 0 } \\ { F G , H A , C H ^ { \prime } } & { \quad x ^ { 3 } - 4 x ^ { 2 } + ( y ^ { 2 } + 8 y - 8 0 ) x - 4 y ^ { 2 } + 6 4 = 0 } \\ { G A , F H } & { \quad x ^ { 3 } - 1 2 x ^ { 2 } + ( y ^ { 2 } - 2 4 y + 1 1 2 ) x + 4 y ^ { 2 } - 6 4 = 0 } \end{array}
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"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"
|
f _ { x }
|
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAAD20lEQVR4nJ2YbZmkOhCF373PGoiFWMiVkJXAlcBIyEjokUBLYCSABJBAS6Al1P0RIJ/Q03v+DE1I5aTqVFUyv4QanjNoXR06w+eXu7014Wf4XXk338cHAI1tLwjNyc/HA7U//6l9fzMA3MdvsE1u+ONhTrYnORYLoL051RfjO2xhathGhupCvYjIasE4C2ZNjN1gqi9TEOwV2F5EZLAA7c8JLttIVyXoRGQ10InIpFKGi8KdLJMTHPAmRETE7YZ/RjCZlkNNfsTty8Q7N9gzP2QEVwW3jMQgVdiKPI4RlwZsUnQisgCb43RwuIhDLXKCbBEXTIiI9ADNuwRViMHBz4mI3IIxF4VmSpxyTdCkBKWeR9cEl3xLi9oiaAOrjhDViwAXBHOPcR7jU4JDNmE1KL9pteWyeK1vj1cBrhKM7f8NwRzNQSsrRf5pIldEgn/SXGsAQgV+AvCiozzHy+HPb5rmYvZ/FFU7Qcp3UuzxENmSRNe3ZkFk3fqDcSd1VobIIBUPuni9CvIwLc5FgmjhtFRbkJsKO7VVISV1ywQN9qA2oturk2p2qaMFiOtVTtCCdc45X7OrbbEBc/xoQxY7n4yr9n+cBrSr+PKS4JUDxQJmC+ziRVY6oU/e9oGt9anhAzwZaF2rDns/JDgB5wpJO35b/XbVJDXO7PFYvLQHGERW7RvhpCurXRBcDQTRVAgm/d5C2bdd5tZpd6H1zHyHaXeZDpV4XRBs4aoHyZDEY4BN9wFLUQM6MP3Qb4eaBr2KLGGeLhV/TrC7EmAFGvJDXUNRhCefUHYQkd6714VlXBmEU4Lv8vMOT+gMVQlPnesmkSPAcYe+UbTlM4JdsdwrlIdHe73FZhNxrXwHZK1ux/0DVHfZgl7iMQLlsfZY4ptOnY4GnPov1KSulsnrzaVlz0Gasi1F1kQIp3wuPVgl2ALtIZ5V1ZYxZCWogSQHV8XpYVdE7FGz3ya4mLRtudoyPWSCVsRd7ZWKo2tc1KG78mhSavDr35l2CQekxx1TKuMJEEvo/gRi0d6B2kxv9Au3j5lwwHtURJu7z4JOir859rq2qN0lCyQ5u+rMo0vN+gEbfTsEz5uyn2f/Wfi8P1HNeBxB5+cMyuyDPD+036JuvhOH/nmAii/EI5zn8OcYfWvtOM8GYJwxLzxYNdfEg7vXVkNohINmu/keaOC0CmbXuP0av5rMhkj9TpJjD6sm4iSrA3TrnHMaoEl7hop3kyG/xvUKfRs6XTtS/oTgXjt6QEc0lvbIEtVm2lk4J1he47acbCtn4191TnWMo2rT4j/PD0CVynkXzxlMrbH8D411X3PsYdA7AAAAAElFTkSuQmCC"
|
2 . 5 7 \%
|
"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"
|
\begin{array} { r l r } { | \mathrm { B l o c h } \rangle } & { { } = } & { | \theta , \phi \rangle } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAB5UlEQVR4nO2W7XHbMAyGH/eyADsCOwJXYEZQR1BG0ArqCPYI8QjSCNYI9gjkCMgPJzY/oES89K53PeOPDZB87iUIUNwJ37Mf31z/ADwAADytxI/LAsZab78iiGJhMLdxf9Jm3E0DnBzYfZCw94CZWgEnA13yn9c2QLDgwof3CphzE2AAEtWeu55NgDPgCl/N9LtVdXAAusS3Fjiun2IFOAI+DVhg2Q64XACXRlwjQJ2lR1VAbfZvAPz68NeA+PlwCaibb1GjDQAAo0ZVAJ7i1BbSyjo8PxcLytIcgTENGLBZa2zoha7wh2R+CaiuNNsds9Kfgf7mxaFKQtVeE5BcYx14rQtXtyDiUs3nHLcJMIG5OX1Km6ZpmkI+OwcM9CIy3BcFgxORAO9qqj3n/oQJIuKuPyIyYE4isr+uC32dkPIU4ktnGH7HPyNAPODjzHy4VqgxxV1RKQr3gvxIR+b3sC8U5KW8XvPXkaXu7KIXVtvOAlwWTDmjyME5d33+CLwoV0vT531WJLYCKgW7lpfqDkKZ5xYFC7jqnFoAs1JGrQqUY5btZrTObkhi/IkJVbRhC3P+3W8HKI1ASx3EX1HZQYOCl8ioxTfl/9T3tr4KRER/aNY2ghv0x15TL2j275/7D8B/AXgDw9PYYfUCeJsAAAAASUVORK5CYII="
|
\Omega _ { j }
|
"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"
|
\begin{array} { r l r l r l r l } { \chi _ { \ell } ( G ) } & { < \chi _ { \ell } ^ { \bullet } ( G ) , } & { \chi _ { \ell } ^ { \bullet } ( G ) } & { < \chi _ { \ell } ^ { \star } ( G ) , } & { \chi _ { c } ( G ) } & { < \chi _ { c } ^ { \bullet } ( G ) , } & { \chi _ { c } ^ { \bullet } ( G ) } & { < \chi _ { c } ^ { \star } ( G ) . } \end{array}
|
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"
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2 \times n + 2 \times m
|
"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"
|
\mathcal E = - \frac { d \Phi } { d t } + \oint _ { l } ( \vec { v } _ { d } \times \vec { B } ) \cdot \vec { d l } .
|
"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"
|
\frac { 2 1 } { 4 } e ^ { 2 } + \frac { 3 5 } { 4 } e ^ { 4 } + \frac { 1 0 5 } { 6 4 } e ^ { 6 }
|
"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"
|
m \le 2
|
"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"
|
| 5 D _ { 5 / 2 } , \tilde { F } = 4 , m _ { \tilde { F } } = - 4 \rangle
|
"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"
|
\alpha = 2
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAgUlEQVR4nGP8z4AfMBGQHxoKWCDUrHswARcXHCZ0rmZgYGBgOLsH3Yj/UMDg8v//////y8v/owIWNPVpONwAB0roCmgWDvfO4ldQYVKBV4GJkjF+K3YjeRarAkEGDAWujAx7GF2xKYYG1G5scritoK4Chv9YQLmLoKALlM04MjIOANl1Ry8lxbG3AAAAAElFTkSuQmCC"
|
\Gamma _ { 1 }
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABIklEQVR4nOVV23GDMBBcPG4Al3AtQAm0oJRAC04JdglSCVAClAAl+EqwS9h8SLxkmMnAR5LJ/qDZHd3drgAlxDGcDu7/1wWc88/zzv2qByeQYfGHQ1wWaMdMImwKI/wp1KqPVXlTUIX6IEmSN25gUxjhJ+jztBmnbgEARREJC35CQgB3IxMTXItEwpz3a5GQgTMCoNUyNuqMAL3rbRYJbQ0ApgwFauNbhE5hVBkEq5/Vkkc59ToDKC6QLh2YmcniAumy8N7G5gf4LKuOzXUt5Koj7XNNsR1J8gQALtfYZQgh1wy9SVekvn7NJyB5M4/Vg7ZZYd7Zp702JEm8a9+CfYYCOz+mNhtsJfvuhY8XNPWHudMCeczChJ0WJvyWX9pPFvgCjkd7wY5NbjMAAAAASUVORK5CYII="
|
\xi _ { 1 } = \xi _ { 2 } = \frac { 1 } { 4 }
|
"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"
|
A _ { n } ( x _ { 0 } ) = \frac { { x _ { 0 } } ^ { n } } { 2 ^ { n } \sqrt { n ! } } \exp ( - { x _ { 0 } } ^ { 2 } / 8 ) .
|
"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"
|
\because A D / / B C
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA/UlEQVR4nO2UwW3DMAxFv7uBOoI6gjqCO4I6gj0CNYIzgjNCNYIygjWCNYI1ws/Bdp0oAXwIeinMg0CC4uMnBagiXrO3F+sPwAH4G0A8I7m4+G1ObQYu7ssB8B7xPT4QeG9CcmpmX49k35CkCEklZG2L+ywV+K1FTBrQ/jfuaiDrvRHsp8snAQDk+cxrqqkRU7MH6OT0YeY2EQA0NknJtWFXQcSgv89bnG9yugu3qcWKnViSnSJJBpAMmNYlkqSovSVqAGLy6gJKrdoqXyh6OkJeii4O2kQg2Y1tnr1COUIv4yADKYYcmmm0ExnEGAmUfvrRQzlCdXyqB+B/AK5p8Np3vWE8AgAAAABJRU5ErkJggg=="
|
8 . 0 1 3
|
"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"
|
g _ { 1 2 } = 1 . 0 0 3 + 0 . 0 2 i \approx 1
|
"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"
|
c _ { 0 }
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAr0lEQVR4nGP8z0AZYKJQ/6gBJBpwrwKb6H9iwbtyQWyKiTZgpiB224g0YJUSLucSFQb3XMOUZq7CIUmUA4xn/v//3xirYhaiwv8MAwMDgyBWqYFPSKheOPseTVpJiaAJKCHigi5bjipJbjTiA6he6MDwAokGGJPugoGPRkbiS2VGBgYsiol3wVkoJssF9+69P7v6HgODUqgLRtoiKjeWI2koR5UiIQywg4GPxmFgAACX92NKb+8KlQAAAABJRU5ErkJggg=="
|
^ { - 1 }
|
"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"
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\frac { 3 0 6 0 0 } { 4 } = 7 6 . 5 0
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA00lEQVR4nNWT0RHCIAyGU88F4ghZAUfAEXCErsAKdYSu0I7ACjCCjtCOEB+KkNxRffBF80II3yX/z0HH8D4OH87/Aziq3eM2O4S0jqbWWETEfmFmDnQvNQUQbeuAQxMYwec1J8zMUuRcMuybGixg2LQstShdEKwXY8mS8KA6RNxKvWigXUS7EXYPYF4mTwAw7QLMzIN0WW2m8ynb9Epj6eDqaNscISYjtUQaF3LmIbSAycTX+Sgll5t0cCUDsM42KpGd+BcpPdAYVB4U0IxfePbfA086Blwj7IHswQAAAABJRU5ErkJggg=="
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s
|
"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"
|
a = - 5
|
"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"
|
i = 1 , 2 , . . . , n .
|
"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"
|
\frac { d \theta } { d \tau } - \omega _ { l m } \omega ^ { l m } + \sigma _ { l m } \sigma ^ { l m } + \frac { 1 } { 2 } \theta ^ { 2 } + R _ { l m } k ^ { l } k _ { m } = 0
|
"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"
|
\Phi _ { \mathrm { ~ o ~ f ~ f ~ } } ( \tau )
|
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"
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\frac { 3 x - 1 } { 2 } + \frac { 2 x + 5 } { 3 } > 0
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"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"
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{ { \theta } _ { n } } = 1 . 0 \times { { 1 0 } ^ { - 6 } } , 5 . 0 \times { { 1 0 } ^ { - 6 } } , 1 . 0 \times { { 1 0 } ^ { - 5 } } , 5 . 0 \times { { 1 0 } ^ { - 5 } } , 1 . 0 \times { { 1 0 } ^ { - 4 } } , 5 . 0 \times { { 1 0 } ^ { - 4 } }
|
"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"
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L ( \boldsymbol { M _ { r } } ) = \left \{ \begin{array} { l l } { \sum _ { i = 1 } ^ { m } ( f _ { \boldsymbol { H _ { i } } } ^ { l } ( \boldsymbol { M _ { r } } ) - 1 ) ^ { 2 } , } & { f _ { \boldsymbol { H _ { i } } } ^ { l } \in [ 2 , + \infin ) } \\ { \sum _ { i = 1 } ^ { m } ( f _ { \boldsymbol { H _ { i } } } ^ { l } ( \boldsymbol { M _ { r } } ) - 1 ) , } & { f _ { \boldsymbol { H _ { i } } } ^ { l } \in [ 1 , 2 ] } \\ { \sum _ { i = 1 } ^ { m } \left [ ( f _ { \boldsymbol { H _ { i } } } ^ { l } ( \boldsymbol { M _ { r } } ) - 1 ) ^ { 2 } + \frac { 1 } { f _ { \boldsymbol { H _ { i } } } ^ { l } ( \boldsymbol { M _ { r } } ) } - 1 \right ] , } & { f _ { \boldsymbol { H _ { i } } } ^ { l } \in [ 0 , 1 ] } \end{array} \right .
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"
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4 5 \div x = \cdots a
|
"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"
|
H ( t , x _ { 1 } , x _ { 2 } )
|
"iVBORw0KGgoAAAANSUhEUgAAAWAAAAAgCAAAAAAJJf1IAAAEtklEQVR4nO1a0ZGjOhDsffUS0IWgDUEXghwCGwIOQQ4Bh4BDsEOQQkAhQAhSCHMfgEFY2MjWnqu2rj9cthhazWiYGYE/CP/wnfgvE8/h6+Nzt/v8dcrE92PwkSuCza5SwM40IhPhD0GuCEYHAaCAzUX4Q5DRwRKAx7sCuHvTvI/wfy4iywHAyHc42FtrfLPZGuw7xSyQLYItB/we51x8KTiZo9m6sN3hM5LF/OH3x8evL5NVVg/KAwcuJVMuE10qJKpNdroAoG+Gr5V5G0sKckWwRaX12X6+qU3rK8BDq88ddOzAxZaatAIO+WM400JVaIjIMZaJLw1u23U0ZUsUi+CiJCKiGijzCssXwX37wITPxJcGuymAIWoeP+BLAEAp8neZQRfhLfiKhFVYDwnA9lnMB6c/w/cUzIvdIRtOF/bVAOluktUUzG0BACrpBtCSMQgiQkFE1MyrxDN8T6JAvdk2liJGlJAv6Wik5GCBlimCT4ey5Zf9TY/ow7uGzWPldDhL/9sa2YED6Palesj3HQjC5p7gB7AoXpFxupwZzFd4yaOndR986mZ5F2V3vsQ1NBFJaC3BpZTyPD9the87gHltvSOY6G4Ea4hXVGi0RESynQ9eI3jP++DjAEx3mVRyFeid5VR/kBLwlstIjZnxBXTXkzOGdpiC1wU/wpHVr8i49HMV4YyDo+tZ9mzPnG9ZsQo1kZOsiRyb8cXonGIZQ7tKyfTrEVxFM7ka74Eaot9HNSx6ySRxvh0cHVxgHth8Uzso0FIt4ru3gG9Jp0vG75SaZJQpZKsObuKVEuMJEoOBWindFSDKqg0HRwcHnbrbtGV0gFKRNbvhu6FTNamcDhZI2KKvObhh8dtAjYm5Bu+dp1cimBQDls4fcrAJsqid57TVomxQVGvpKOCzyy519bTn4C1nwc/g6MYuwu9XrqYah8ty+CLdCkdV2c6cjuU8CUcfV4bu2QXH5LVe2Xn9MMdK4GgqAXPiC6Vm2z7raSwWcFXwPfideKnADRCisLaLOni+henmgkUoMFr8/dEadAdvgEN3UQu+7kEMefNS97ncx20RvJx56d8USaOtMRUA8E4GDEMCQl+UlCIi4puKsup3b65sqXGKNYoUc6XTOC/4YnRTDnbFa90nkYR22x+UIjKzE0KPSJQ02Z77y+RVMDrWIg6h25rXRERu28ZTAxW1qu+rlVREpVSOariQL0o3OVgjYZ8bBVDIeNWJq1bT12HmeQpLlDTZKtESuVKFo6ODGwZgkKmxTa4CwIcGQXJHJFhLVMoFX083XYHuzx0dXGFT030HDFvjt+nfaHFZBzMHNSNR0mSrACGlXoxO3ZTWo0q19aFuq68rAUVEKGlKCFe+KN3kYPFyw9a2j21iWJ05RdLM1mnd3ozGHlQX6Y+UGrRDqLY34qJ0Vwfrv/O8LYLVmVMkxW1nozEHr3Tc91BxGkK1umGM0l0dLMXb3uOtzZwiKW47G430wdbjKBI7VyswtGOWX2yQ0+J0YxdnrP6bL9FnWJ05RVLcNhi9db+GTE5qTI0fki32xTE6KQEmayJy74rf9ZlTJMVt56Ox/6bZ9Pcvno0fHVsu6RN0PwjZ/vz3D3H8AbORN7vLxLXFAAAAAElFTkSuQmCC"
|
c _ { l } = e _ { m } ^ { B } c _ { l - 1 } , \qquad l = 1 , 2 , \cdots , s ,
|
"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"
|
B _ { 3 } = \pi ^ { \frac { { d _ { t } } - 1 } { 2 } } / \Gamma \left ( \frac { { d _ { t } } + 3 } { 2 } \right )
|
"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"
|
\boldsymbol { \kappa } ^ { 0 } ( s , t ) = - K _ { 0 } \sin { ( k s - \omega t ) } \mathbf { d } _ { 1 } ( s , t )
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3ElEQVR4nO2TQXXDMBBEv/tCQIUgCqKwFETBheBACIUEgihYEGwKgmBDmB5kuY2TNve+7kWa1Wh3dp7Uid/j7cX5HyGcnuTKrfjZeleRHmOI0uL7Cp5VMAcuZn6sIEkKQ10bIRnOLGCTJI2Dv+ieoIVB0oRVlNz1QBi5StLeM22b3YdMAAoRZgB3NKoQgBs9nDPQhtjHnP0Z5jUZhI/ImlPNd9uLWt8tUPKlr+WK9+3md42L8w9+NA2ZAC6W+WhrI1SNtmv7iuasVbfCscVGMJxNkiI23hO6/38BwCcUKPxWcYv1aAAAAABJRU5ErkJggg=="
|
R ^ { 3 }
|
"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"
|
_ { r + 1 } V _ { r } ( a _ { 1 } ; a _ { 6 } , a _ { 7 } , . . . a _ { r + 1 } ; q , p ; z ) = \sum _ { n = 0 } ^ { \infin } { \frac { \theta ( a _ { 1 } q ^ { 2 n } ; p ) } { \theta ( a _ { 1 } ; p ) } } { \frac { ( a _ { 1 } , a _ { 6 } , a _ { 7 } , . . . , a _ { r + 1 } ; q ; p ) _ { n } } { ( q , a _ { 1 } q / a _ { 6 } , a _ { 1 } q / a _ { 7 } , . . . , a _ { 1 } q / a _ { r + 1 } ; q , p ) _ { n } } } ( q z ) ^ { n }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcElEQVR4nGP8z4AfMBGQHykKWNAFOu/d240i8B8VlIf+X4UigK5AaTeaAKqCMy4Mxi74FPzfrYRmwH80X5w1JuDNe0oEFGCagOYGhrvobkBVsFsQXR7NkVhsQFHwfk8ahgIUK9JWYdjwn3E0VVNJAQCKOt/k6ShrUAAAAABJRU5ErkJggg=="
|
f
|
"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"
|
\widetilde { \Delta I _ { L , k } } = \frac { \widetilde { V _ { L } } \widetilde { T _ { s } } } { \widetilde { L _ { k } } } = \widetilde { D _ { k } } \frac { \widetilde { V _ { L x , k } } - \widetilde { V _ { o } } } { \widetilde { L _ { k } } \widetilde { F _ { k } } }
|
"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"
|
\mathbf { { E } } = \eta \mathbf { { J } }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAAA50lEQVR4nO2TQRHCMBBFXxgMxEKQUAvVAhKKBDQgoRaohUggEoqEcqDM7E/a9MbADLlss3mz/2+ydRP1tds4/wM/DcSDc1ebmHSNHggmkVeID8BXJDxAV5GYOt/0du++YCb35julVwzBEsZwO6cutgsrEefY2AK2zQHSCdDO9Zp6oJnWJGYVUcjbjOhTFRIeuElGgRFgrHiIQFAJBYbCYwYkINSACLQKsOFRTS54VImhtKDAo2yCQiIHxCTAXT3KVd8An50XE1UoWCAtAfsMSGc4rk31OyU+7dC6V/CjLfANP+8f+BjwBH/aLTe3QmlZAAAAAElFTkSuQmCC"
|
i
|
"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"
|
\psi = \pm 1
|
"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"
|
\mathcal { H } _ { \mu } | \psi \rangle = 0 ~ ,
|
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"
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\begin{array} { r l } & { \partial _ { t } \mathcal { U } _ { i } ( x , t ) - \nu \Delta \mathcal { U } _ { i } ( x , t ) + \mathcal { U } ^ { j } ( x , t ) \nabla _ { j } \mathcal { U } _ { i } ( x , t ) } \\ & { = \partial _ { t } U _ { i } ( x , t ) + \partial _ { t } U _ { i } ( x , t ) \left ( \frac { \theta } { \sqrt { d ( d + 2 ) } } \psi ( x ) \right ) } \\ & { - \nu \Delta U _ { i } ( x , t ) - \frac { \nu \theta } { \sqrt { d ( d + 2 ) } } \left ( \psi ( x ) \Delta U _ { i } ( x , t ) - \nabla _ { i } U _ { i } ( x , t ) \nabla ^ { j } \psi ( x ) \right ) } \\ & { - \frac { \nu \theta } { \sqrt { d ( d + 2 ) } } \left ( \nabla ^ { j } U _ { i } \nabla _ { j } \psi ( x ) + U _ { i } ( x , t ) \Delta \psi ( x ) \right ) } \\ & { + U ^ { j } ( x , t ) \nabla _ { j } U _ { i } ( x , t ) + \frac { \theta } { \sqrt { d ( d + 2 ) } } U ^ { j } ( x , t ) \psi ( x ) \nabla _ { j } U _ { i } ( x , t ) } \\ & { + \frac { \theta } { \sqrt { d ( d + 2 ) } } U ^ { j } ( x , t ) U _ { i } ( x , t ) \nabla _ { j } \psi ( x ) } \\ & { \frac { \theta } { \sqrt { d ( d + 2 ) } } U ^ { j } ( x , t ) \nabla _ { j } U _ { i } ( x , t ) \psi ( x ) + \frac { \theta ^ { 2 } } { d ( d + 2 ) } U ^ { j } ( x , t ) \nabla _ { j } U _ { i } ( x , t ) \psi ( x ) \psi ( x ) } \\ & { + \frac { \theta ^ { 2 } } { d ( d + 2 ) } U ^ { j } ( x , t ) \nabla _ { j } U _ { i } ( x , t ) \nabla _ { j } \psi ( x ) } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsUlEQVR4nN3TTRHDIBAF4JdODWBhtWAhlbAWUgm1EC1EApEQLCDh9UB+lkwbrp3uhR3eNwsc6IjrujXy3wSPBphzA+SpASbka5AxX4OE1LjkGdzL8szOixxHTCnNoUQsNQoArwrI4AWALiXYwEq22mILDDniGpADALjFbtWvyACQ63dYHQDXA2L3KuDhIhUYv4AAF0lqNcIC7yJJUu0IA8KakyofQR/3Vl972/3nxznXGxVsEZcnG5seAAAAAElFTkSuQmCC"
|
\star
|
"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"
|
J _ { \mathrm { C P } } = \pm ~ \mathrm { I m } \left ( V _ { i k } V _ { j l } V _ { i l } ^ { \ast } V _ { j k } ^ { \ast } \right ) \quad ( i \not = j , ~ l \not = k ) ~ ,
|
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAENklEQVR4nO2aW9WjPBSGn2/WbyAWYgELWOCXwEhgJLQSioRWAkhoJBQJICFz0QLhnJL0MGvluSoBXjYvOwnZ9EcTcOHXpwP41wkGOhIMdCQY6Egw0JFgoCPBQEeCgY4EAx0JBjoSDHQkGOhIMNCRYKAj/01aKqUAIoGUVMfyHHm83EvF9+IWlB5yikf7Y+2Pl4rvxTGoYQZWv0sQsaRUrdr5maexykvF9+IelOnmVQBZrbXWJ0Bm2dXfk36p+F7cgzINvArg9Ng4AEti2doTKVZCtRF/Jx6CMgyspaGmtVweDXYYaC/+RnwEZRiYAclwc+GB7DDQXvyN+Aiqn0SaHDj0RkjgMj+hp+OJy2T2lCfE34eXoHoD8wYSOZSr5k+Scr59mSfE34eXoHoDL0Ay2tvsi2yKrXipROrrmptsBlXljx+HcUPc9cHOwEYBZtdU+MNCvCxRVQXx2wzcDqpS5f2HbINSqgFkJLpjurWwAoz2+7PwNUpZiFdKVe/t1NtBxcUVBNAmnixuAg43Y7H3yzzbVEONGxywEE+L4nbgndjccRSTCmgzEUREPHgJ6bqwYmh/UzJMcIOynG8HIJ2ZYSzFsz8rut6xDCrmCHlsNphMqzEPLoBc6MLlcSWu2GKKXhP/GLNBlUTRES5Ve1fVaOjpunDMcBQ9At7G85eK78UmKIUUIn3sBGiqpQwcvQQdK2PuGSPXXqTnxs1nxCeUM6+dVa6irLvS5ULSvY80RxXNDCNTFZugFBFkOVwOom8Y0K1JIoyFzFWwWBbYg6U409XoVUI6Pq4WQNRunQDO5qVkbaNiEVRGprVOgKxtGMn0Bp6M6K8COIzVHLAUnzEwoY9+INffboxxXsHAzi2VjaBiioembIVGB2EeDOm9NObbP1vxGQPBTLYHhy0DT6MTZlUsgoJa63uu3iXlOEvNclYMiDRLJSA99l978RkD5XCguXMDEG0/zcz0qgXAzUZlO6jrI/G6XK0nIoPtUzvORuMn6AEb8RkDzyAR4wPPkqgbvuq0rSprrfVVIsc9eEFlM6hTW+2Sj4QvJmn8M/yTuSobiKKnqy1WbIv/QFyM2qqq+T9x/niyqLIa1J9jdnj8gPRkNPQsZsMnYLYmnHh5H9ijErfn1AK4aZ1MR1f3yDwya+BpMn3uYZfKYw7R93E201pOStbfb+DBi3+7VNo5RN+nLVFP5xC9uBb+Fqq8WFv3vFTFWHbINKfJo2mx4esNlLfPqVT0c0uSQ55MK6Thz0UrKCPh4hiqnMlsHQxcphmUPROg+fIMLAHl7UOWM/lg617hmRYx3SY3nxT3ilF8/vwXd621vmZgLHeGtYeerzFw8KHB80J8D+1g11tWi2lBZ7KUCzzLV42B/yLBQEeCgY4EAx0JBjoSDHQkGOhIMNCRYKAjwUBHgoGOBAMdCQY6Egx0JBjoyF8vkf6u+kk7NgAAAABJRU5ErkJggg=="
|
\sigma = \sigma _ { 1 } , \dots , \sigma _ { N }
|
"iVBORw0KGgoAAAANSUhEUgAAAIYAAABeCAAAAADDfzMPAAACO0lEQVR4nO2a23LFIAhFpdP//2X6kCYH5KLGQOxUHjpJTHVlg4i2gGUF+3ob4LCNQW1jUNsY1DYGtY1B7bvzPSilBC4/i6jxtzAgloLHBrj+j6xMajX0z44WYyA2Qss0gaF9eLgYihrGmLE1K8MwhooXozs2ggt4jqEOFpzHFYxr2OMCEtxxWLW04YeBXoTvqWo1sLCQzBJkkaVN1BunWypZgg2E23kspETGMk6RGOzbk8Qw1MgLil/znZIlhoaRO0cOczcIYWKIalNzygtyeLGRFhkGRoYcvH9HjUQxjBBFV4ujEeXD+9D2TNH7BbV92oO9O3p9ODhAOikcwYzYQPJTocCrBeB6jA2fEFgxB8bU4IRAep+MZQ9DEwNZO1ivdvZ42Vy9cfphel63smh1q0ZLKygmMXrtgYRrYATvp0X3ubUoGBSzGHfk0XZgj9Sifa9jKQXINpD+1nj60savJ1EzpdVrp4nhL7IMQqBYAX4+R9G9igGltNz+6YXk0nOpswzN1e2GU9h3YBkq1izKAQylC2RXE2nsfohKqutJR1zNY3TkChxVxkpfk2l7VA5Vjemlo2OqcQtZU4YpJrOoDTGo6PMYDQo9gQWo4VFYoRuCMQoRgeG6w3ohyCk2hU6ZhuFHbp4aDkReSdw4d1j2lDjEWocwb6lRpZA8DHeRycOA+oZy/a8Q5RUziIjNTF9gn9fJP3JFMVT37aP7EOPD1gdEaWrQ40ylbf8TL7GNQW1jUNsY1DYGtUUwfgDT8HDzyYkZKwAAAABJRU5ErkJggg=="
|
\forall x , y
|
"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"
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\begin{array} { r } { F ( \theta _ { H } ) = \overline { B } _ { [ 1 1 1 ] } ^ { 2 } [ \omega _ { H } ( \cos ^ { 2 } { 2 \theta _ { H } } + \cos ^ { 2 } { \theta _ { H } } ) } \\ { - \omega _ { M } \cos ^ { 2 } { \theta _ { H } } \cos { 2 \theta _ { H } } ( 1 + \cos { 2 \theta _ { H } } ) ] } \\ { + \overline { B } _ { [ 1 \bar { 1 } 0 ] } ^ { 2 } \sin ^ { 2 } { \theta _ { H } } [ \omega _ { H } \sin ^ { 2 } { \theta _ { H } } + \omega _ { M } ( \cos ^ { 4 } { \theta _ { H } } - \cos { 2 \theta _ { H } } ) ] . } \end{array}
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"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAVUlEQVR4nGP8z4AfMBGQH1VAKwUbrZM3oqn4jwqEr6MJMKLG5htR9NhFt8KPgBuOWWO4EtMJqK5AVfCa4f///0koQiwoxpULb7y5EdUWxtE0OWgUAAA6x2fXs+3fyAAAAABJRU5ErkJggg=="
|
L
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"
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\sum _ { n = 0 } ^ { \infin } F ( n ) = \frac { 1 } { 2 } \Bigl ( F ( 0 ) + F ( \infin ) \Bigr ) + \int _ { 0 } ^ { \infin } d x F ( x ) + \sum _ { k = 1 } ^ { \infin } \frac { B _ { 2 k } } { ( 2 k ) ! } \Bigl ( F ^ { ( 2 k - 1 ) } ( \infin ) - F ^ { ( 2 k - 1 ) } ( 0 ) \Bigr ) ,
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABPElEQVR4nO2VwXGEMAxF/2bSgFOCU4JbYEtwC6QEbwlQwlICLsGUACXgEnAJfw9Adi0Cl53c0MVjyTx9WfJwId6zjze/PwH/Arilo+PN1sXc2p4k+9BzYy3JyUmvUDBEA6RbhP8eRCbfAFCFP1ZgSbK0JE2RRyY9O8rpSMGgASD5CKguT1TbeTVCQg7wBQC0owaG8o8IACvuUQAMAEADta5eAymuACW69Jntolr0piao10Dz1KOPFKxpXBWur1I7k+H2AU8z9if+btJQ7ByTJcz11doCCt6t7sZ3QExXU2FrWVNBkgEFSYd73nC3DIaYj7wEEwEY7QAMygLd12bwICc0w1UtSfZlGCvdkwywS2R0CuWd5GhzBTlgLOc1uLAKp7A5xx5gM+kUF7G8ln2AfK73DVC+88v5XzgBAB69DdYdyiwl0gAAAABJRU5ErkJggg=="
|
( 3 , 4 )
|
"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"
|
N = 6 0 0
|
"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"
|
( q _ \mathcal { C } p _ \mathcal { C } ) ^ { + } = p _ \mathcal { C } ^ { ~ + } q _ \mathcal { C } ^ { ~ + } ~ ~ .
|
"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"
|
\mu _ { \mathrm { i } } = 2 2 - 5 6 0
|
"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"
|
\{ z ^ { T } , \beta ^ { T } , \nu _ { \perp } ^ { T } \}
|
"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"
|
\begin{array} { r l } { \mathcal { H } _ { n } ( A ^ { t } - 1 ) \mathcal { H } _ { n - 1 } ^ { - 1 } = \overline { [ \Gamma , C _ { n } \delta ^ { - 1 } ] } } & { = \overline { \Gamma _ { n } } \overline { C _ { n } } - \overline { C _ { n } \Gamma _ { n - 1 } } , } \\ { \mathcal { H } _ { n + 1 } ( A ^ { t } - 1 ) \mathcal { H } _ { n } ^ { - 1 } = \overline { [ \Gamma , C _ { n } \delta ^ { - 1 } ] } } & { = \overline { \Gamma _ { n + 1 } C _ { n + 1 } } - \overline { C _ { n + 1 } \Gamma _ { n } } , } \end{array}
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