image
unknown
text
string
"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"
> 6
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6klEQVR4nM2TwXHCMBBFnzNpYCnBKUEpQS04JZASTAm0kJRASrBLwCVACaSEl4OcYAw4V/5F0uzTav+fUSXLevqn/sDA1+vqZfVZ9k61zaquabXhQ7UAf1ezakuj7srhFgAHtSOpPo+FbjIAqQYg7gw5kAD6stx0EWOjxRz6Y27ONstwow4kPUWcVK0EqFIejhF5XZpvIo5NGwAU4K3PNUNPdKnMmc5vTXrvYOw70UXULWznwIWLDMPczQVQw/ciEJBuApv3MRyorxJTzexVbe65yESn+4bYz+sF6EqCsb66/xv1gh7340z0Ay8Q/AhIbpCWAAAAAElFTkSuQmCC"
5 ^ { o }
"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"
\gamma _ { 0 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAs0lEQVR4nOWTURHCMBBEXxgMYCFIqIWzUAtFQioBDUgoEloJVEIjIZFw/OZCU74Z9jPZ2Xu3M+eUY52+/P+eYRmdGz8cWiowayU7YqWrA5xp8sp2CJmjHG+x4oE4PlqQd2bVANKCjEi+yWRJywSRNCS9MxVvxkAYkupAahhe+E1VfdcqaqX3EO2u1hCApWqzSPO9qmpvEMoROXqApbvE/RFPBIg5mybPddEZpKR0/3cXu3oDfUDJWFTBTh0AAAAASUVORK5CYII="
h
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4klEQVR4nOWTQXHFIBiEN2+eASoBC1RCKoFKqAUiIZGQJyGRQCQECY0EkPD1QKeTHsI7d/pf9vB/syzL0KH23J7s/xTweAKkrQmUx5suibuk6SjmuLQACMpcTYekV+3tDKm/3OsmaZVrA0kNBwHW0QxZXrwNRmWSiu+lwdhU5jLIFPchwafMDrgI2J05AD1uBN+DgB1gro14FhNizosy5Ax3qd7hu8pNvqyTGQ8Zyej03KaK0+oj4+BUTlUDZBMBuxDmnwyEekR1iFOya/BSmtzmFd+LS/7kAOT9l1bp/sfH+QLNp9bADF3duwAAAABJRU5ErkJggg=="
t _ { \mathrm { o s c } }
"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"
\langle X , Y ^ { \# } \rangle = B ( X , Y )
"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"
\exp \left ( - i \int _ { 0 } ^ { z ^ { \prime } } \Phi ( z ^ { \prime \prime } ) \mathrm { ~ d ~ } z ^ { \prime \prime } \right )
"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"
H = H _ { 0 } + \delta \Phi , ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ \mathrm { w h e r e } ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ H _ { 0 } = \frac { \mathbf { v } ^ { 2 } } { 2 } + \Phi _ { 0 } ( \mathbf { x } ) ,
"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"
3 . 1 5
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAb0lEQVR4nGP8z4AfMBGQH1VAjoKp2a8aGPEpOCh6rQEjapAVHBBdvZqBgYHhFYqK/wig9f+/6Msr//+/RBL7j2yCAwOD1jRthqvTcJkABauykHlYFPy3x2UFVsCCIXKAQRu/gtVaU5G5jKOJll4KAB+ra7GhauBEAAAAAElFTkSuQmCC"
\kappa _ { j }
"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"
t = { \frac { Q _ { P } } { I ^ { k } } }
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"
\begin{array} { r l r } { { \hat { \sigma } } ^ { e e } } & { = } & { { \hat { \sigma } } _ { 1 } ^ { e e } + { \hat { \sigma } } _ { 2 } ^ { e e } } \\ { { \hat { \sigma } } _ { 1 } ^ { e e } } & { = } & { \sum _ { { \alpha } , { \alpha ^ { \prime } } = 1 , 2 , 3 } \frac { 1 } { \nu _ { \alpha } ~ \nu _ { \alpha ^ { \prime } } ^ { * } } ~ { \hat { V } } ^ { e _ { \alpha } g _ { 1 } } ~ { \hat { \sigma } } ^ { ( 1 ) } ~ \left ( { \hat { V } } ^ { e _ { \alpha ^ { \prime } } g _ { 1 } } \right ) ^ { \dag } } \\ { { \hat { \sigma } } _ { 2 } ^ { e e } } & { = } & { \sum _ { { \alpha } , { \alpha ^ { \prime } } = 4 , 5 } \frac { 1 } { \nu _ { \alpha } ~ \nu _ { \alpha ^ { \prime } } ^ { * } } ~ { \hat { V } } ^ { e _ { \alpha } g _ { 2 } } ~ { \hat { \sigma } } ^ { ( 2 ) } \left ( { \hat { V } } ^ { e _ { \alpha ^ { \prime } } g _ { 2 } } \right ) ^ { \dag } ~ . } \end{array}
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\theta ( x ) = - \int _ { \mathbb { R } ^ { d } } K _ { d } ( y , x ) \cdot \varTheta ( y ) \mathrm { d } y , \quad \forall x \in \mathbb { R } ^ { d } .
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\begin{array} { r l r } { E } & { { } = } & { E _ { D F T } - \sum _ { I } \frac { J _ { I } } { 2 } \sum _ { p \sigma } \left ( n _ { I p \sigma } ^ { 2 } + 2 J _ { I } ^ { - 1 } E _ { X C } [ n _ { I p \sigma } | \chi _ { I p \sigma } | ^ { 2 } , 0 ] \right ) } \end{array}
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^ { - 3 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAmUlEQVR4nGP8z4AfMBGQHykKWND4Z/e8ZzB2EUQIMKKE5OpOJSWG96vfIwv+RwJpLu/+/////38okhiyFRVnd0PMVmLAasJdht3/MQGSgjQlLPLICgRDsSlACof3KFYTHVDICu5hU4AUUMoMd/GbEHqvE5sRCPe+M2bo+P////+75eXYvfn/XRqDoIuLi/FMZG8yjiZ74hQAALpYwk68igl5AAAAAElFTkSuQmCC"
C
"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"
y ^ { 2 } + a _ { 1 } y + a _ { 3 } = x ^ { 3 } + a - 2 x ^ { 2 } + a _ { 4 } x + a _ { 6 }
"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"
n _ { R E } = \int d ^ { 3 } p f _ { e } ^ { M J } P ^ { \prime } \left ( \tau = t _ { f i n a l } \right ) ,
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAEQUlEQVR4nO2a63GrOhSFV+64AZ0SdEtQSiAlkBJwCVAClBBKgBJQCVEJVglWCTo/JNkGBOIhO/EZrx+ewMC3tfTWJm8a/7b+++kC3Fsvg8+ul8Fn18vgs+sxBusjf0gcjx5hUH1KRR4Qx6u3B+xk3vP0/kGm9ACD4v0nt4OH8S0lCKERQ/AhLF4AJQgLPDI2WCm0tIsSHwAgOAp220fjBSgIO7IUydwzI4OVKhFzSlCtpLit5ngBKuQoP8isP0APRE9a02Z4d49Id6cAtNO6GxkYaLhMtISCS1+ltMW2elaqN0ymA6yWBCBDE/TQoEiAmo17kDgKsa0Yok+bCrBBlEPxr8BDI4MUrenVClAAgAIA2NfWSheuAQ3wEuDC36wO/7cNCaCGBjmpqKQ15LFQxR8BABtbzkkagw5oA9zwN4sykt2Q/RoapFXCBE8BSuoyuMgskWtBC3QBYvCFON6Q/RouEx0FvilAFXLBIApAfICV20th5xgLdAGIvdwhzjNaiI7QedTU9MpOusy11lon5kaXbJrLm3wE9F2uV5dorb9JGUBNnyYoRLJzFgAAnk0A9/JbBoBlKoCaMtgyQN0e4upaFHJtIVRRMeoFjvirRbkCpMwDqPueJnidRVnSvaoFISQLPfWI8+CP6lfmZN6cNu4OeyzNN4+ExHQ/9z41o03WW3l0qr9tR6I8QG7eThhDorKXqSmf2rnz8WgP8leOQeHmfLr/4O83qEjUQ+9a3of7I52eJBcjPYv/KcvOOb73bDPuyluF9LWgbBXJ/5yX13hAsXmrkL5lIrB7Xa3YvFXIA266vFHJeAM+/XYt0vntSWzeeuQN8wCg4x8omQWVOQAKkU0MYXWkocEdm7cW2WdqrbUmsJkv4Kx1k2md5Gf/oGVLEmKxeeuQPaYxmFzfDsT5Dj1wF94qZJ+5di86ysPvVGzeiLnSoOAo2ohlic0bM53BZce2ax4+dPaNzVuMvDIt0nZwvbCDmzz8OSeBAROXtwppmA7p+Xw2Wz0mR0aS1dmLx/CuTIf0j8HJcC4PL+iqvHRs3hzSMS3SZ1AV7z1UUVxO1m57JBPxWWGhYvPGSB/TIn1ddNBhjg35rO25RboCEdEsLk1s3hjpY1qka8He870O0zKC1E27lxo/Bua02LxZpJdpkaYFOSQFLq/IVFQ0N3kCItwPcMnDC5q0+UxZYvMCSOZhOuTBvqQsBTyxrStNMsnsCiy2tZ8beZK9zxQoNi+EZB7mBam1/qIAyU/6XBKAlGdN2em6quS51h01f2f2ftrpLJs8T8fmBZE+pkMeAFD3lZSZgW5a1+bq6OVXVcTl4Rtg5stqbF4QmXmYDnnAdQ/k/l/BtK69IqQCZAJAyIV5+Ni8IBJshunpD4MOk+XNti9n9+KNkTPMJXlRgbgJldi8WeavTPzG1K/8+BJTL4PPrpfBZ9fL4LPrnzf4F1lgVdbbjI2RAAAAAElFTkSuQmCC"
{ \frac { a _ { n + 1 } } { \prod _ { k = 0 } ^ { n } f _ { k } } } - { \frac { f _ { n } a _ { n } } { \prod _ { k = 0 } ^ { n } f _ { k } } } = { \frac { g _ { n } } { \prod _ { k = 0 } ^ { n } f _ { k } } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA/0lEQVR4nJWTYXHEIBCFH50awAKVsJVAJcQClcBJuErISYgFIgEkEAlEwvbHXQgkhE7fr53lg32zuwhGX29/nJ+A8CWEEJ/fIWe4UiLH0QIwW+YAjJaZ2Q/Kb5n3usKyAgBNlx7kYzm6rEt4DHXi6IEVpj5wh4xdIElQF2AL2A7gjJSAuwKShU0joC+ARNIxswJ8E0iE8eyiAOzraY+yWzsQ88uViX0WPyB6RgTZGtYDOseqAczIQCiB7OGewwjEhoc1X5tBrRK6AExrYdIWRqiy/XsfzGtVTDWrAkikEjOPz35n7Vst3e3DYJ2nodpZUf7NJQStgWugpX9/3pN+Aa/I81VC8gouAAAAAElFTkSuQmCC"
\delta
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"
x = 2 4
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABM0lEQVR4nO2V0ZGCMBRFT3ZsIFtCLCFbQizBFqCEWAKWoCW4JUAJWgKUQEq4+xFkFBb825md8f4QksN97yUvgxHr+nix/gb+IdCV2215+DK7Jh12u7KDrkx5SZLUu/GLPAoBvCQpAyeIHlwA/KUuAGcfgT1eV4jy0Erq61Z9L0nKOSQCHiDkGDY4rP29ijB53wCw99P5CVC83IdlbYbn7fACSM3zfEruOYSLMQ8aY4wx5vM8cXAVx9UkG2PyICirmgCLugO+rtersEtb+adNeyO3xCKQwHJbARrwdHMX3eXwauGkZ40Ox4493/OWuzu0FtfLjUcxCklq1Xu46DSPkIGIg0K9HW7To4az6KBrzolqmkHOob3E3GBxZqCxzDoA9QogVWDbNUBXW8wdzPt/8QYe9AOEfDUe7ls60gAAAABJRU5ErkJggg=="
\mathfrak { F }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA7UlEQVR4nO2U0XHEIAxEV+mAlEBK4EpQSqAFWnBKICX4SjiXIJdgl4BL8JWgfACZkBsyk/gvY/1Js3qwywykOFZPB/dPwAn4E+Dlcgywuvv2K8D7KxERvdX+yuH6TaJfSmIa4p7isJdBYFHVJKkq7J6sNtUAghnEWY4+5H6xe6seg6q7NaPGgvWR2cgQis+JDQDg0/fMgJ/7GWwOAAOrq5aJiIiei+9t9YCf7l3A7PLyVgHFisZyIw/A2qkbIlTVJFW7lFBNm0GeR9cNkVUXo6rgmqodRUQkA2/5AdLDoT/UmGMc+go6P9UT8D8AHwaMPS+6hx7sAAAAAElFTkSuQmCC"
m \in \Lambda
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABCElEQVR4nIWSYXWEMBCE5/pqIBawEAs5CWcBC6kELFAJVEIigUhIJAQJ0x9A2Mtb2vm1LN9bZncAO2XvALu2Z3TvvZnDbGDugBEryQDcABPGvXsDVIP8JzDhRZJcMeiAxXw4WVQgA3UfMFIFZjiSDMaL5icuFVgg/pTFieaHqBPc1+MZ7QYpMQ1gzlycvLT0UGF5LGGqBoTTfAWm1hUeCsxeGIuomSw43Rt9i9SqKBABbOeEBFhtzVZ7fYszCa4QWQkgAJ4kV3Nk2mcRMcWnxfbtJuEAF7DB+RQ3m4e3KK5PuP4H7z2I30yq3SGhG90fqvwHpLcEVOBG16GDarLdYXjpHh68G33oF6xGE8JmC1rTAAAAAElFTkSuQmCC"
\beta
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAAA/klEQVR4nO3XTQ0CMRDF8bcEA1hYrNQCFrAAFpBQLV0JWMACFoYDX0s7817CJhxIe+7880svkw6GZWe1cL4HeqAHfhSYtkdVMHoScOY3eKAA2C8JJAC4fB8ogCTQQBoPksACBfm6UQQWSKOZJJBAQTaTBBJIo5kmxIGCbKYJceAOkIQw8ABIQhh4AhQhCrwAihAF3gBBCAIzgCAEgTmAE/zAB4AT/MAngBLcQAWgBDdQAxjBCzQARvACLYAQnIADIAQn4AFiQhtwATGhDfiAkNAEAkBIaAIRICKs63U8JbqPT1ls56S2eU2oAkXNN69QBXYyUJOH/uHogR74l8ANB1rswBx3sYQAAAAASUVORK5CYII="
\Delta
"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"
G _ { M a r } ^ { + }
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABgCAAAAAABJZaFAAAJt0lEQVR4nO2d0XWzsLKF93/XaUCnBFKCUoIogZSASxAl4BKgBFMClAAlmBKghDkPMTYgIQMGYt8130tWMJE2sC3NSEL5R2CYaf7vrwUw7w0bhHHCBmGcsEEYJ2wQxgkbhHHCBmGcsEEYJ2wQxgkbhHHCBmGcsEEYJ2wQxsmeBmnTbMfSmU1JU/vxHQ2Sfp33K5zZGHH+sn6ddzNIezrpa7BX6czWBNfg52Q5/p+9KvSrJNyrbGYPYu+ExDi6l0FOlWZ/fBhhlYp4fPDfPksOC98rxS4lM/vRfrVXb3RspxgkRcD++DhECCOv2MkgGdQ+BTN7ImFkMvsYpAAb5BMRaMeHjh5JzSbGY5g3Zbc010ZRFYU+skLmZQ5tQSrJ9vg0DjWI5sDk4+DZXMYJG4RxwgZhnLBBGCf/jwzSpsXBNaaZMa60moH67YqdZqb4NzCI/2+Sen4p7cnHeKJpb2T9HW1T0kB99X3EUquZ4t/AICGAmHo0eZ7r0AMwf9i1/kYZHm4QXRbfWxQ0UB/5Kk793RuRueJpD/KpcnNo82AIoLScG0A0c2sM5p+6KdYLWkxfvdZXIkrUAddjiLc8t3cwSCMBz3Y/chFbjlqBmnvmxmxS8V+pH9dreW5v0MVAJEBt6w9Vzsvi/5pDDeL7J6S+X42Py3hi2b3U7JA/ZsZsbuXLtv2NoKSxZHER+dQHusoQKUuMGdzyGL/wPLQVpEDVqslygCpqq9talLoWUsZIa+gUdfB380CzxZvq/178jBgkV5QvjMQmY5ApGg+Qjs9FQkT0W2pi67B7vWlXt/6NdzQhaCh3lf4KM8KHp+Kn1R8s/rAYpMXCFakiASpHWi57S+SXrZavggKxQHXkEtnRhXyOeAWMBxv3MUiFpa9MKQ2cpwMO2f9l0XCHlIXygEo+P3UzRkHWB4lXY+07GSRbbBDECjhNjQ4Vg6/Qwu9TLYE2C+oFw7Kb8kniA2NscheDnNdEVReB9mfiMzVYiRajjvyojU7zUpxCAZmUme3RpHMLeYFPEh+qeuSQmQZpi2K+h6uzNF/he4pIgGLm1IZQdXXW9cNPNSZb4QoK8HAW5j1uvxEn0WvLqIPF321DvEP94eIvIhode8SrWvUJH6Gtolxpnc8NjUsh1w0Ta1iH3B/01CqR0+Uxzhr0RmJHWQxdiYgamyQZE5H2VontKIWZ4dkzlUnxLvWHiy+FvPZ/3zzNbbRYPY0wNeTeMbjHveNX1a9ybJBJfu+ufnG2ofT0WPNzg/Q/WKd+N/GN+k3Lb2weg0RnlY/aw6n5fONvE4FxFzhJr1GOvrxxlbPIAsBIOQwKI3IedvyyLP7bHTn9Xljx++Nrssx+j7JS/VrxQ/V98TdELk+9fSCWvxdTpB7aBO2PrANLrpJ4Z/8yvOB47tS1jE9yxZ4AcRh9Xxakj7essarl/bfpi6rMvMPL+qcUP+H9ASe/sZfvGi0ds079avFD9X3xN+qfur9xR88g0cCO3lScqZRfNYCQ4gIUlfDqOuh/I7Tyvy+DoGt+Fl+tawq8y48/ezOBOoUfJAAKBACyVsF1UZk5uyAz9ais8uMXX/ZZpX61+IF6i/jK964DMc/7KSMGyZEQXS5ERLr0SrqMesvVUWosnDHqoBsf9vPXXo/9pBfXV2quRESBJCIKb1HPxEXFNkXXXsHKEiY+jUFGJ6xQv158X70p/ipGC2tWBanKo8ut7lgThcnoL2IEz4s1SeDOlBrHPZ6eixlTdmcKQUSXuyftF2Wfaekdtc3F2P7IJX6F+hfE9w6b4hVGD3OGQcpHc3PLfXOEnbIgJ/Kay+hPvCeP2l6PGBtt8KlSHiCVKomoVALDu9xdaqkkIFVJWgkIZbvJtwy+RKxzre45nfWiypCIKNG6ieMwb+L495xezj/LIE/EL1f/ivieekN8gnGbsi5N8u7FCKKrSsYG0UYTkoceHsldAhGMr/4qQlqPc1L1ouNHbUnwuwI2RkN5P+W3XdRlMCGsiXRIRBQ/BjHmtiCr1Q/Ed+pfEd9Tb9SrMF7Dt8ogOh43RCNyCOOYDu51XUOz/Wzkqm6pw3WLdUikuwrDhEKPqOvFe2fZLkprIirLHFei2GuIQk1E/S7XVvHiZaoO9QPxd/WviO+pN+qF0fSvGQeJAq3OT1JX8+PWu2ftqTD3l7HtsAdgg0mqIktwHzGI6vA2wFwMJTguqptTDQRQzElIX1tWNWAg/qF+J/GWjX9WGCQKJHS9/M0N1bkmCytDx6mwJrjFBu9CZQq4L6nIuhS/agfZ98RF3e5oLQEUEijaoMImtp3JQPxd/Uvil6lfbpAokIBS6cIXNwopbotR2torxv5IM6s/2vMGW/EWCmi7GmsJtBKAGIwpTV2UfBRRtQrIApECqA9bAjgQf1f/kvhl6hcapI6+0hZAUbc/yyYSC9WZPtXFeOwsOyW20bTa915fS1XXAjgHIVo/A7wWyDQA7/I4Y/qiZAXc5lQLKQCFc4gDDTIUf1f/kviF6mcFUUuxrG0MiTxFRJTnpEehUGl9/6XRYn62PB3mJV6Ya01EVxEQlcEldgfYQ/SVqJtTJSK6NkTU9PKtfd+LGYpfqt4qvq9+xprUIw2iPCJqYiI1/LQxEtwmv2gFGEn5NNNv1oWauiGCmIjIPVg7prFZN34kmLmRF65hUv1Y/DL1VvE99Yb4PzRInhCFIKK4GRu3mZ6rmX/zGzk1iuLdB2muS5qOjov5SK6PYZ9GbvJO3KT67cX31Jvi//DNukIBAjUqT2AUgpyn56znh6gix1dqC8/rR497XrN7fGBm7EUnq4q+na+5zGZK/Q7i7+rnil/hy+eYTgyJ6IKcNJERgmxEk1iLXdalLMIYQX4Bu/qDxVtakCP3SRWoKo1bXL1D8fbv2I6vDGz5/yzs6v9e/EFdTCEBKNQQMIYBmXfmIIOkHgCIWgPjEIR5aw4xiP+V/fgAVAJE/gmZf/RuYsxaDolBumD5gk0nspgDOHQzfzfdVgcyRR1yL/QmvJFB6vhfnYgiUjGidMWrecwevMMWVL90Wx20Gmj5/5m9C+9jkMXLcpgj2Mcglo1IZmCsbGEOxrLxz04tSLDGIMbKFuZgCnP2ayeDhFi+jbm5soU5ljaD8ZbgTv9YGdFZLx7xqD3c4tPash8Gszs/mfnQ9jIITmnCrcBnkZ5Cc3Rht3GQBKeaR00/iPZsbfR3a0GALEK8waJ05hCyCIltln1HgwCpYIN8Cllrjwh2NQjz+bzPSCrzlrBBGCdsEMYJG4RxwgZhnLBBGCdsEMYJG4RxwgZhnLBBGCdsEMYJG4RxwgZhnLBBGCf/Ax+kwrSsgGgvAAAAAElFTkSuQmCC"
= \mathbb { E } _ { X ^ { n } } \left \{ { \frac { 1 } { M } } \sum _ { m } { \mathrm { T r } } \left \{ \Pi _ { \rho , \delta } ^ { n } \rho _ { X ^ { n } \left ( m \right ) } \right \} + { \mathrm { T r } } \left \{ { \hat { \Pi } } _ { \rho , \delta } ^ { n } \rho _ { X ^ { n } \left ( m \right ) } \right \} \right \}
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"
F e ^ { 3 + } + A l ^ { 3 + } + 7 O H ^ { - }
"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"
\operatorname * { l i m } _ { d \rarr 4 } \int _ { 0 } ^ { x } d y ~ \Gamma ( 2 - d / 2 ) ~ ( P ^ { 2 } ) ^ { d / 2 - 2 } ,
"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"
t _ { \pm } = \frac { - 1 \pm \sqrt { 1 - \frac { A } { \pi ^ { 2 } m ^ { 2 } } } } { 2 } \quad , \quad t _ { + } + t _ { - } + 1 = 0 .
"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"
\Omega ^ { 2 } = \frac { P \alpha } { 2 \pi c \varepsilon _ { 0 } n ^ { \prime } m w _ { 0 } ^ { 2 } z _ { 0 } ^ { 2 } } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1klEQVR4nM2T0XHDIBBEHxk3gEughbgEuQTV4FakFlKCVQJqgRJMCaGEy0cA3chnezyTj+zXciwsezc44Tk+Xuz/tcC5+ZccXepFUYBYie+1ncUnAInBtEgED0AmmILSDj66Ya0O5EZ2gl5fq9U+RaiLG4NYKXKuzoty0BZrI4uy1YLWvFmH0IKFVIA5e2C+F6RCOS9f5zIWLqdyn2JiAsJVIoS4zaezMcgtRhH5nq56gJ35USz0N+SyDciMqftvClb8c8EjWK1+T3BoJAz2I91/+3oWfgCjE6+llfueeQAAAABJRU5ErkJggg=="
\mu
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkUlEQVR4nO2SwQ3CMBAEJ4gGroW0YEpIC9BCSkhKcEpIDS7BLoFrwSVwJZiHExRAghcPpOxjH7cj7T6uKXzW4Uu+Az8CckJP2IhdFn8BwoTTHEDMAohVQAEwYIiYtBlA86OiD71CXg5TfN5wBC+MyYW5lpzd20gB36mveesSDqBbwbLVFZBShlucV2/2l/sf4A5tnz+xyiD8yQAAAABJRU5ErkJggg=="
\sim 2 0 0
"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"
\beta = 2
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAD6UlEQVR4nNVY7ZmrKBg9s882wJbALcEtgZTAlEBKICU4JZgSTAlYgpaAJZASzv4QVNBJnOwzd3fOnwR9D3Lk/cI34mfjj/96Af8Wf+5cuwwVgKGql0s3Wf2uFX0V3MI7DVjn07ghpdlYNc0O9Zth+82lPQFkC4R50MAQfmMitpN9O3Ye+rYN4vE2DgOUkDq6zfVDVHqEyYz+bvRv8ZAcHzcnikulIqdg6hporYSMXuKEVFCZWWW/6SU/gSqfWwqw0IF0AMlawJDslWhlYdaI5GKhJ0nvXlvPl9kehW0hwKIikwA6wJJe9kQRsTK9CCsU2SvgpR15ga1zTygE9EBLzgKoEKO32Lk2XvbaQLExri487BBeYrdFPskFWEw7lASkcQkTXaoNDrapSaJ0siNreYUdUGfjvUL2HIOcfjXuwFgDgPz6LC+xhRyycd5KSKAr7NXeLMNclwd0FsC4WsI47FF28Qpb3rNhLkBLXMdleL+ixmOMMAJAh6XVeL8AALrL6fR+Bbrz6XTuAJxPp/N4lI3Lr7dfs/X57a/TZ8JyD+sFqj7FQKjK5JOwZI1KkCTNUrmtEPGfwlQ3q3jTbnLNIzaVSP1Lb1ahqPKAL+tArwDTO4C+kTKLYL+UcalnviLJgLlXcpVNczYx3mx8D2ZpTw6wqWwqNtatBFSPBZDOCAAQ0rT5jRVTV/FPP+2FnXNbkH07P01MySVW8bBpCB+zlY8vIGQCipqx28z5et3MRaw2l0263aIh6cXsatbSISk36Em2jYYn2cTL3sj6CFulbG39SoBD3s/tHmgkgDJmus4s4a/FdfozYATGc2Nmqxpq5ircAHR6+h1i93e73s0RNqDHbl5PwuZksrMBVgEQefHNNpe0sfJoADBzbQyiJynmCJGSpGFARfrkQWZ2gsdsFWOtcVx2IIgir+yfB3ZErTeXDNELZOXdytl0pZRSYg4Wi5ZNM/lS3aclyMR4zFZkA08argSYsuk4KMBVzMPHiZ5kgF5btdPsZp60h6Eh2cIyWTbL23zMVmQQlr5ZCWhFebI6JqB0DZJ1FUiXpYQQZ1+yCqWYPEdIHy3D3Mg+YyuSVgQbFgG9KDLjJ0G8wVleTqcT1kXcVh9Al8XXu5ExducSau5nNYXjOUbqTc3F/SkbMPcrVkewa709Bh7ZgI1rJOh1s1qnltItDaOPfWaPihs8Zgc52XiuY2CDIwJ2XCNCLnSvUVlPklZjcZN09JQ1N3jIthLSkk6RvZKQ6pNvCEcEpIS6eQ9B6q11Dh+zTL8pjEfYB3BAwJ5r/H/wNIjH94u4jABwueJ6eWb+27HzXehn4cd/3P3xAv4BHAfyeTpxxGYAAAAASUVORK5CYII="
\Phi _ { A } ^ { * } ( p _ { A \mathrm { W } } , p _ { A \mathrm { M } } )
"iVBORw0KGgoAAAANSUhEUgAAAJAAAAAiCAIAAAA/JseRAAAZIklEQVR4nNV663NU15XvWnvv8+jTp9USklpqPVpvMALxCMbGYCOwIXY8niKeZHI9c5NK4nKSW6nk3lu35lP+h3xK5UOqXHd8ncQhdpyQyZCJwyMCl1JUINjY2AiEhSQESEISLbX6dc7ee90Pu9VqJIFfk8zM/tB1+vTpffbea63f+q3f3khE8CkbVV4SIi590wAAwD5eZxXjqejqr9GISAOZAaBpgKT1vYZXbgyWxym1YowBAGPMPMwYk1IiIhEJLoqFAuecMYZEyDkgatKVLzVvKV+seCOu+F5+9ONMtLI/AACtNSIimh9Y5evNhdbazGqNzpbG81e2Vunta9yiisu1nbvSYMBQa21mioh6yd5EJIQICkXbcYwTIIDSmjGm4Z5TNmYuGxJWG+wTt0obrLB6+aePYqfyf/+TGGz1IFavWOVQK53SfNVaCyG0VESklMrn84Ix3/cBMZRSCEEIZYcu91C5hpUGE2uP++PHWRkBKnsv/1R+8Zo9lwe65hL8dVrp7ZVLDwQAuMpk9x/bCoOVPZWIcrnc+Pj4+fPnkWjbtm0bNmywIxElJbA1lmtN5CMiUTncStystHnlKO9jS9Nj+TEiYox9aHiVrWUa5/w+y/GXa2vA0RrR9eGtcrlLiwAImqSU586d++mPfzw8PJzNZvfu3fs/vvmtDb0biYg0ISJjrNLXzVe42zRQZgSV6c7cWZHuVlzfC0hXm5wxls/ns9lsZc/3mfDqAP0v2oQQiCil5JxzIYaHh3/yk59MTk7u2bNnw4YN58+fv3DhQi6b5ZyXOMjdE18TDxFx7YxSGU9l81R6zeq/lG+WUy4RhqGamJg4ceLEyZMnb926ZQCd7m6Vw7pXhvsv1EhpIEAC88kAATGXzf7yl78cHBw8ePDgt771rf/+D/8YFoM333zzzp075Ymvuearm6iEuBUreK8cWH54tUcYk5jXF4vB4uLi6dOnX3nlFcbYCy+8UFVVFY1Gy6CxglxUIir8R9PFT9ywAv8RUQihlZqamjp9+rTneQ8//HBzczNoSiaTly9fvnXrVn1DAxOcc165DnAfRmpyo/lcQSJN9WB+VUoBQBiG5QeWIw+gkpgyxkgBKSClL7z19i9eff30wJujI2PpuXlSABoN6S+b7UO5xr8Xj13d7QrwgCWHgwoyv+bb9d3F2V3dGq7BuVIKEZVSjPNLly5d++CDh3fubGtrY4zV1dVt3rz5zp076XTavHF1h/dyU8Y5N+ygPAcppQEu27bLNrMsKwzDyoxaNhsAICzbr/zM9PT0G2+8cebMGQCIx+NVVVWWZXHBOOeVwHivmZf9pjIv/rsbr/yKCiQv1cpag5TL3mwuzGP3gW5kjLQGonICA6KRkZFMJtPe3l5fXx8Egeu6tbW1+Xw+k8mYDj/6gAUBKNIcOUHJ1sZO2WxWa+15nlIKCdJzd4rF4sLCArfsurq6WCyqtTaBTACaNEdmQsegwezs7L/9678NnBjwfX/dunX19fV1dXWO45AGAEBggHeRn/ss6F8owkwrd84YU0ohcsa4uUdEQjDQQBoATY3GGAMiUqokZ6wxfgQNxBlDZCSlefjWrVtCiFgsZtm2+a9lWYvzC4VcHpZgqTye+6+JICDOOAAgIDIWBAEAzMzM/OIXv5ienm5sbGSMMcCpqSnGWCaTqV5X+/jjj+/Ysd3MkDEGd4eC1lowdvPmzePHjy8uLj788MNTU1O1tbXV1dWG5RORsDjcDdn3aX9Rm5Uh0aQcrbUQTGvSmrTWiIKU1lozLpZsdj+JwNwxlYlSSghBRPl8XkoppVRKmcgLw9AApu/7Qgi2KoHdpwlTbRCYchuFEFrrxcXFV1999dKlS6lUqr293eIiCIJYLJZIJDgyjiUOWrITaATQmkz2YsBlUc1Oz966dSsSibS0tExPT6dSqdraWliqr0kDsI9ngzIOV379KDP80D5NFlFK2bbNAEADEnDGgDEzKQAwwMAQTBpGhsZ4hGvPQiklpXQcRytVLBaJiAlRUg61DovB4uJiJBJpb28XQqwonO/fBABIJQUvVdDGKeLxuOd5+Xy+p6fn6aeftrjgnFdXV7e1tXmeX1NTY9LpUpFLRMRMmCIQgdY6nU5ns9nW1lbbtguFwgMPPFBTU4MMSC9FDNFqonivtkZV++mo4+p0iIi5XK6YD6SUhUKhUChks9mFhYXFxcX169c3Nzc7joMMEYEjW0tzXDk8o/mar77ve543MzNTLBRs285mFjOZTH19fTweR0T9cZxPAEBZXAjD0HAQ13Wbmpqqq6sPHjx46NAhBiil9DzPcRwA1JpAk1E8lVKItKxlYOnixo0bMgg3bNiwuLgYBEFnZyfnHMiADyJDfXc5sXrEq/kbrFVWr4i8j9AMg7jrRUQ0PDw8MDAw9P7lycnJfD7veR4AZLPZ7u71rus1NCRdF4GACJAta453BVjFEAxWhWGIiJFIpLu7OxKJvPfee5OTk6lUam5ubm5urqm1hRCI6GMpKkKTZsgMJJqSW2udz+cjkUg0Gq2vr49EIkjAWIndIZpIKuUVzjmA4TnEGAMNiLiwsHDp0iUiqolXj4xeE0K0tLQwxgCBMQAEAqrUHitts4ITlm+WpDlAvZZ5Pr7ZVuqtIyMjJ0+efPfCxfn5+ebm5r1797a1tYVhmEq1d3V12batNXABpAkJy/kM7hH6YRgKIUwkuK7b3d3d1dV1/fr10dHR+vr6ycnJq1evNjc319bWEhHeXTV/COlYykNY3spCAlLa96KgaSE9z5EpTVwI0gDAkINWGhjXSi8BIqJBiaXyHkhdHx/VoZyamhobG+vu6G6oqzePAiOTGMIwJARYknA0ac5KPHN56TWimQOgJbhWBEozwWSohOCAIENV1ggQ15LW12iG3UEln+ac923a/L//5/86fvzkq6+++ugju1/4+vO1tbUGV6qrq4EzIgXAAUCDxruFxsolVqQZMm4JpTVnjIgQoKGhYUNPz9i1a0NDQ9u2bRsdHxsZvbZxU6/neQYzVhAZuIfzEZEov5mIKqE5FosxxhYWFhCRc1YsBJZlMYblQnuFQoFkvIOR0og4NzeXTqeHhoamp2/v27cPGBr40EppIkQuLKs0Q63KDM3Ed8V4SoU846iKkgsBjOlAMc6MjxsA/yhWWt3KnmF6aGhoqKure+utC67rtra2NjY2xmIxy7LMY8rUXiVBf7kAXd1MUijRTkCtNQL6vp9IJPL5/PXr12/cuHH58mXf97dt26YBSCtRQTrKq7pCK1+WTu561BCBJW5q4kBKyZiwbdtQBqXJsvga0vsScQLOpFJ30ulcsTA+Pq6B2traQikRSVgWYxyJpJScl9aLIzN1t66ou0vjYwgEJLUOFAAExaLtOABQKBRM+RGJRGzbhiVk+lA8WW2z8vO2bReLxUwmEwSB4zgVgYtmNYhIKc050wRLCs8aSVeRZqxEpMuZPhaLtba21tTUjI2N/fGPfxwfH+/r69vU1wcASinjFpWJvHJ5zXWJXZvtlRKnBwQE4xEAMDc3BwDr1q2zLEtKHQTB9evX79y505JqTSQSRLpSElyemwIASKfTi4uLAJAr5BOJRH19vRBCawlEAGQSspTKsiyjpBhOZRalLJJprbUkIQQALCwsmLK9UChMTEx8MHotnU739PTs378/kaj/6BZa3co5zBAERMxms4Z82Y6jpJyamhoZGXGjXk9Pj+d5WpMGEoKVtaQVLmICi0gTkQqlSWO2bTc3N8fj8fPnzw8PD9u2/Y1vfGPr1q1hGCJnZfWkMrzKIVWJZMsRZu4ZvQgZoyUN1/d9ALh48eKZM2dGRkaSyeRnP/vZmng1E5wIlmKSVgRvOrOYKwaEoJRqa2trbG5CBgyY1hrZMp8OwxCWyiDHcbQKjdnAOBFpQkAGN67fPHXq1DvvvDM3NzcxMTE5Oem6biwWk1Lu2rXr01irbDMy+/dBEIlEOOfpdHpiYuL27dtnz57985//nE6nd+3ZnUqlfD8KCAgYhsogBFSI4yWDGfKsgTHGmGCMkdRKqmRjc8yPj47/KZFIPPvss4/secxxIlprYKUcphSZzIqIAMxUcgbnjPnNIguo2Kkr5Q9EU0gppc6dOzcyMvLWWxey2WxXV1dbW1tVVZXjOLTkVeVkVgo1BipUhULBmAERUx3tqVSLkppzREaATCsFALdv375w4UJDQ0NfX58xkhFNSi6vNBFxLkjDxMTEwMDA+fPnPc/zPG/r1q3btm1rbm5uaEpWV1ev2ij+qG1FZCBjnPNisTg9PT0wMDA0NERE8/PzPT09mzZt6u3ttSyrUCiauRtuXGny8vXSEhrVnhEBMoZE8Xg8kUggYk1NTX9/f1NTUxAEjmNLrYlKG4eMQbEYTk9PT09PZ7PZmpqalpYWU/UiImMopVrecV6OPqIgCIwC9pvf/Kaurq6rq+fAgQM7duxoamqKx+PIgBQBIrGSbxKRlAZqMZDh/Pw8YyxQ0vEiTU2N8Xicc+MmhmgiMjY+Ovbq4Z/7vv/tb3+7q6tLakJGnHOlShJlmfs1Nzf39/cfOHDAoGs8Ho9EIpZlcc6j0ehS1fnJK2kTHxqIEHzfD4LgygdXmSU2dPfs3bv3oYceam9vr6qpdl23RLik4pxTiVzoFeY3BEJrUGGJhQrBw0I4MjIyOTmplKqtrU2lUq7rIkeptBBMSgOBenp6+ty5c38+e258fDwIgpqamj179uzbty+RSACUPFqYBFZ62VJmKxaLt2/frq2tfeKJJz7zmc9s3bq9ra0tEokAgLD4YiYLAK7rsqVlVUohMs5Ra0DETCZjck88Hm9paSEirVUYho5rmclppdatW1csFi9cuHDgwIEHHngAAAA1IHJutCvNhdCKtKaWlpZnnnmGc+66rpFXTBJWSgErHUP7NMJHueCzbTsWiyHitm3bvve97zXWJ6qrq+vq6hhjoVaMo1KEDATjxUJgu3YlTyzzHdJQ3hUWggMASX3z5s3Dhw/fuHHDsiyjAWmthVjegrFtS0p18eLF1157bXx0LJFISCnffvvtqamp5ubmZDJpHhMWF6ykJS77mjFAsVhsbGz85je/2dHRQYSWZQnBtSYl9fj4+MDAwFNPPdXZ3WH2YgCAc6YUAUAYhgsLC0b6TCaTTU1NnHMpA/NK07lt28lksra2dmLi5uTkdKFQsG2bcSCtNSHnHABlGAphaQ1Kqnh1tVYql8sNDg7u2rXL7IIODw//6U9/ivjR/fv3V1VV2Y5lcNgA7P1L6RWk3HhAEAS+71uWFYvFdu3aZVmW1ppbXIbKtq0wMHsloDUJIUCDVooJjghhKG1blKgdmgRMXDBVlNwSk5OTL7300rFjx5566qlAybm5uTvz6WIYBLKEhI5jFfMBIpLSba2p7Vu3bd68eXR0dHJyMpPJKKWMyC4sTnrp1FQJFoyUzjjnvFAoRCIR3/cR0Y24AKAVMY5BUZ46depnP/tZKpVq72wzlZOJJ86RqLRPYaTPRCJRU1MTBAFjIITQJMu/+r4fiUTMDkAQBBHPIyopb1prUloIUV7VoFhMp9ODg4MjIyNbtmy5ePHikSNHbt++jYj9j+/3PM92LCU1t9Y4b/TR4wwRjbgXBIEp54lIq1LocM4nJydnZ2eFENXV1VVVVbZtGygTQmhdOjAquNCKOGcyVJyxax+MHD58+OjRozt27Hj++efnFzNHjx6dmZkx0/R9LwyVlNow+w0bNrS0tNTW1kYikUKhIITo6elpbGwUQiilTFTddWpqieyhUqpQKLiuG41GEVFJbYIXgGez2cnJyRs3bhhmUUZR8wAiF0KY8sjs1Pm+77g2SVksFCzLQkCLWQKFCrUf8auqqjjnSimtFCAxxjhbKvIQgUApNTE+PjQ0dPbs2d/97ne+71+9evXatWuu625/cMejjz7a1tbmuq6Sy4V8eVQfy2DG87glIlHPHBwyjJGIOGda09zc3LFjxwYHBx3HSSaT/f39W7ZsicV8QkYlrotCCBVqRASEMAyvTUy8+OKL//rrf9m4ceN3vvOd9evX9/X1/frXv74ydBk0ccGl1BbnWlOxWBRCtLe3FwoFxtjMzMzJkycXFhYeeejhtpZWHUqGCASyGIgVLoloJE6anZ2Nx+MGIkpEgaM5yhyLxcz+llEXzR/NvoyUMggCxpht25lMxijfYSBnb0+9++67ra2tHR0dZciamZkJgqC1tdX3q0pSIUejwpnSVEp55cqVn77844GBgUwmUygUOOe5XO7QoUOPPfZYTV1tdXW1bdtlNcT899Oc5MlkMoaLZjKZSCTCGGoNRBCGYTabnZ6enpiY0Fq/8847IyMjX/7ylx977DGttdQqEnGIQCninIWh1BpHR0dfeumlo0ePbtq06bvf/e727dsZYx0dHdlsdmRkJAiCKi+utVF+yGScMJSeF5mamn7ttdf+8Ic/dHR09PX1ua5rfLqYLzieK6Bi49GUsRYXJiRd1zXByDlDRKk0ADiOE4/HPc9dXFwoFAqWZZWFJSKyhdC240fcuB+9PTk1d3tGBeHM1PQrP/vpjRs3vvSlL5nFNUhy5coVzq2NGzcKIRAJOTMFrGVZCjQpyRhLp9NjY2MA0N/fv3HjxtbW1s7OzvauTsPZbNvK5wu2bRs/K+PYJzCVGdji4iIiOo4DAFwwAy2WZTmOXVtb+9juPR2ptnQ6feLEiTfffLOnp2fXrl2cc9u2g0ACgG0LAEDO3r3wzuuvv378+PGtW7c+/9Wv9fX1WY4dFIqtra3bt29/6623jh079qX/9vdILJfLeZ537ty5aDTa3t4upfztb397+PBhx3Gee+65zs5OkzKMptXd3X3Xyd+yNCeEMCEyOztbV1eHCLp02BFN9BjSn8/nLcsykFhCJAQppTmqgIg3b94cGxsbHBw8c+ZMf39/R0eH67pSSiKam5sbGhqKVsXb2jqklLZjmVVzXdeMRErJGOvu7n7uueeIaMuWLa7rmpDKB0XzKxFEPBcIlNKIyETJ8z6BxoiIBh6WBRcCrbVlWQBgio3e3t6NGzd+8MEHZ8+ejUQisVhsdnZ2fHy8IdnY0dGulA5DpZS6c+fOkSNHjhw50t3d/dWvfnX37t2RqKdCaTtOXV3dgQMHfvjDH77xxhuPPvpoU1PSj0Wnp27//Oc/37NnTzKZHBwcfOWVVy5evPj5z3++oaHhvffeGxoaGh4evnnzZkNDQzKZFFBBSc1ZASDinHueZ5SF+vr60jOMEQHnaNuCc76wsGDIVWntlEZEYCClvHnzZjqddix76tbkiy++ODU19cTjjz/z9N/Goj4wzoCYEPl8UQjb933PiwADAjAFtTGV2ZvQUicSif0HnlBK+RGPW0JLxTj3PM94CRgqxJALZhLeslbyiZpt277v54uF+cxCg2woawKMMdd1g3xhbGzs1KlTZ8+e1VLOTE0PDAzk83kmeHt7O2MMEYzQ2tza8jd/+8y+vf2PPPKI4zikNLcEaKqtrtm/t//3v//96dOnX3/99a9//evpdPrll1+emJjo6uoaGxv7/ve/f+HCBSK6/P6l//d//xkAMplMVVXVQw89tGPHjt7e3mVIJCJAIK0R0XXdBx98MJvNGiKEyDlniggROedtbW2dnZ1KqVwuZ04lmP8yzoEgCAITfM3NzdFo9NatW/v27Xv22WebmpoYA5CSCQEAnuft378fBWccpNJmofP5vIFsYw8uGGnwPI9xBA2AwKzSvjYCkkZk5gKAAHEZIT4BKiqlHMfxfd/3/Vwul5lfgIqqoFgszszMDJ5+88SJE2fPnh0fH29ubg7DsKGhIZVKNbU0IwIiGPWgrq7uySefTKfTba0p13WNSmFOa0cikc2bN3/ta1/7wQ9+8KMf/ej9998vFArXr1//4he/2NLScuXKlSAIenp6qqqqLMbn5ubWr1//5JNP9vb2plIpx3H8qthyhDHGCAgYSqU8P/rcP/5DGIatbaliGLi2A4AMCAFAiM7Ozs//3bOxWMxwyJLwCAhEJKmQzV0fHyetc7mcEOLvvvjsV77ylWQyKSxLKaU0cAaAUFXl/9M//Z9MLptdzEV9DwhIgWO5pIAxI0Tj8nYPARnBs2LTC/nKi/ISl13wQy1XNglnPAwCz41YXBRyeVkMBOOAoLRGxGKxePLkyZf/+aXLly9H/Ohndj64b9++gwcP9vb2mkMZUiohuKmlLC6SDY2JunpzDNucKgMAFJwQ19XXfe5zn8vlcr/61a+OHz/e09Nz6NChp59+2vO81tbWF154gXNuqnXXdZsbk8lk0nGcUglhpKnKSQIA51wIsX///lwuF4vFtNbImFaKcW5Qq7Gxcffu3bZtV1VVGZ7COQ+LgW3b6XT65MmTV69ebWxs7OzovnjxYi6XM/IVE3zpQEupRaPRW9NTb7/99s6dO00uXKYM9zrH+Rc7BExaGzEFEXOZxTt37hTyRTfiwJJDRyKRVCqVSCQ2bt704IMP9vb2NjU1lUiZxbWmUh5lDEtiI1Se5wUAxpAIpJR1dXVf+MIXdu7cOT8/X11d3dXVZbaeE4nEwYMHo9Go4zhCCCmlzYVl2zIMS+Ivx/8PLFvLPCIhESsAAAAASUVORK5CYII="
F _ { 1 } l _ { 1 } = F _ { 2 } \varphi _ { 2 }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA6klEQVR4nO2UwW3DMAxFX4os4BWUEbQCO0I7gjpCsoJHiFbwCPEKHsEaIRqBPRQ9RKIB2T4ECPKPIvX0SUo6KPv0sXP/GwAcW5LyhO8ApuzcNgffPUD6HKpIE6CTMACMvisNNPdAIuTOCBiAaAHCAONXE+BS1wn4PJGsQA1I3sojRNOACTBPCkOqGgiAPuoeECnWdD77q55venVyK2OH8jmn07oHXpUwyar9BsADxJ/tAAcgZiMbATH9+9gEyL24NYByjHpXVVWZy/UlVWP802neXAKweJ3bAaPLOx2k5jEu9KBdz//WXwDwC6v7p4HjTkcMAAAAAElFTkSuQmCC"
t _ { l } ^ { \mathrm { ~ \textrm ~ { ~ M ~ } ~ } }
"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"
\zeta _ { T } ( \nu | \beta ) = { \frac { \varrho ^ { - 2 \nu } } { \pi i } } \int _ { \mu } ^ { \infin } d \omega \int _ { C _ { + } } d z \ln \left ( 1 - e ^ { i \beta z } \right ) \left [ { \frac { 2 \nu z \breve { \Phi } ( \omega ; z ) } { ( z ^ { 2 } + \omega ^ { 2 } ) ^ { \nu + 1 } } } - { \frac { \partial _ { z } \breve { \Phi } ( \omega ; z ) } { ( z ^ { 2 } + \omega ^ { 2 } ) ^ { \nu } } } \right ] ~ ~ .
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xQdle8UoFZ66uKDCiBHqgvcT1QFrhHNzU3VLIVa5OJcXgXoQ2KLwpvNOeBvaoxRoEE2RuOHUylFLGNNgemtb6grds243FYpzzl1566aWXXpqcnGw0GolEAs3q9XpfX9+5c+eq1SohZN26dVNTU9lsttFoWJbleR66CvCvwCIwlzBrABnU63XktsD9lcvlXNedmJi4fv16Op1eunQpDJhoNFoulx3HSSaT+F/Xdd5+DCFMJwEcDqZ/Bz5UECoIIxRfcDSfhEhIxR5VpAjlBLy6Byrey8wIyHfRbu2I0MmKMEp1/ATmI4mNKiEU6ic4yAZkHqRUUVN9K/Dip8wngPeBxgHgEF+pAwZ8Ss9/EBRykhLIEgjqcHJWksez9o8QXNMYlBZKqaZpwEJCiK7rL7zwwo9//ONisdjb25tMpZimEUoFIYZhmKaZSCQKhcKRI0f6+/sjkQghRBrZws9M8/dJMI0wjVAm2rxVoZVC93McR9O0SqWCJBfQQCwWm5ycLBQKQ0ND8Xhc1/V0Ou04Dpxg1Wq1VquBSnVdlxAQSi0HVTNSP3oYG1TsJyHyIiFSmW89vs+nc/yBtKOyHALnAjzPQ2hW6srzWc8q9pN2hFPHksuUvgG5Q9D6qCIH/LE6uDoCT8LLD0chO/FLRRdVFLb5CFUFl9rbfJvScc4qKMScHFNJhQjSxhTwqhyXMeZ5XPhhQUKIZVmUaj/5yU9+9rOfZbNZzrlt257nPfbYY/fccw9j7Oc///nZs2e7urpc171+/frw8PCmTZsmJycjkYjrupxzy7KQDfnpqwisF3NgjEFGgcir1Wo8HqeUlkolIUSj0Thz5kwul7vtttuq1erw8PD09DTnPBqNEkImJibwVli2SGiHN4KF8SyAbQG22pHm1PWoDQLuKZW5aoQaTNMpY4LgO+UCuQnNeqNartQqVSpI1IoQQhqNRgBLVBoOzzAMaHV06gsElczCAi2ctRUAIgDtuq7MfiWEUCooFYy1vsh/hHBCeOBPP2jdPk/aMvHlciQNBwQ1aecFn75lKmRUslQ7pL7YVM02vGiaFiFU+oJ1Xe/q6iKE/MM//uMLL76YTKW4ELphCEKee+65xx57bOPGjUuXLv3KV75yyy23NJtN27Yrlcqrr746PT0diUSEEKZpmqaJhC5CCGUIcQTRyZ8hmSNsTuGccBwHFhQhxDAMeAsIIePj4+Pj4zdu3Dh8+PCZM2eQhnzo0KFarcYYq1Qq/f39W7ZskRutrj28Heqmz51kkMIaiT0kROjzIU0ApcI7FN4q4WtBEhXA8t2mPTw8XKlU0BISRk2rDvevTh6fjvSsIhxRCAbbD/+mPOYpVSD5JLxqCVy8jidcKdmh6niqHhjAQvlR26iGFuYDOMi4ePiV+bYpPDo+IvQh81ALnktNBk4ky7J0XT927NgHH3yQSCQcxzFNs1KpbNu2bfv27WvXrj1//rzjOIlEYsuWLTBRGGNHjhyZnJxkjNm2DaNc5mvNh07zcT3qZ6BRxSeUSCQMw4CJAuETjUaFEB988MH+/fvxVjabffDBB2+66SapZQTUchVLVchQSvWO9aMkdtJQpC88e/kcLmD8Cec681PfotEoSLHRaEQM0+MeUaMuhDiOU6vVTp8+/cGH+4UQd99998DAAKU0EolETItzzknLgKGU1ut1mTMncUX1+qlKYIBNSssemwQnI1gdttA0TbhoOPeVQ8aI741AWpGmachjBXc0DAMrNU2z0aihAcxcKC0B7FctJc656zhyVholiH1FIhHbtqFpaJqG9MFWQE3ZMoCCKpIW/aCxZVmI5Usyw0LQm6ZpdtPFVG3bZpSahi69+a7rMqZha4B5WI6maQDRG2+89aMf/QjjJpPJRCLxzW9+c+PGjdFotFAodHV1lUqlWCy2YsUKJAVXq1VEPBYsWGAYhg9knkgkqtWqps+VqlNJAt4FTVMrlbVUQRn6xMItyyKEIBU/Go26rqtp2tjYGKX0k08+KZVKXV1dtVpN1/UVK1Y0Gg2wwrBVLPdItDuuiPSJSY4iJyq/004KnOxXRUThZzoAvpTSWq2Wz+djsRjc6sjPoZTCmpfbhp3wPG///v2Xr1weGxs7ePDgrbfeunnz5kQice+995qmWa3XMES9Xo9EIo7jqPQsgSv/l5QjzyGhjeM4QG7btg3DQCSHEAK8hFoF29EwWmyP++eNTNNEJ+CLiUSiXC7LheOghWEYmqbBigXXkG+ptK1CFRRo2zYIA+SHoROJRLFYhP0GqHLOm80mmAUhJJfL5fN5sFjV8YBF2baNiJZKnEIIwJ8oh7QMwyCiRbGGoQk/RgwxAuFmmmYsFqOUNhqNI0eO/PjHP67X66ZlMca6urqeeeaZHTt2EEKazSYOXcViMcMwenp6Fi5cOD09bRhGpVLp6uoCosNMN02zWq3qus5F22kTicGqs1HCTyg+RqzL84/NwICpVCpCiGw2OzU19d/+23/TNK2vr6/RaHDOV61alc1mob+oPFSEzoBQxUxqzco0TWC2+mbAfxIgFVVCBQhGKrVgupcuXbJtu1qtIlOaUmqapis40VpVFSW/BGbs3LmTeDyXyRKP73vv/Z89/9OTx44Xi0XDMOrVms406KaVSgXQQeCJtEs8oZjFAfVGWhrASAhAwzAgGGu1GnAdrBRtqOL1kjnnuq4nEolarZZIJCzLKpVKs7OzruvW63W0wUAAbGAb5DTkVCmlyDDnnFcqFSSMYCaNRgMp6KAQUEUsFgNzdRwH7aWlK71MpN1vThRJS5RoGKSEyiij0SjkpIoA4NOmaTYatueJYrH85pt7JycnKaVI6X366ae3bds2Ozubz+cbjUa9Xq/X65zzer0ej8e3bt1aq9U0Tevt7bUsC5tomibUsJZGxCkRc5r5HIKqoWTBKNEknaiySGrUjuNkMpkVK1ZAP7Rte3JycmhoqFarzc7ODgwM3HfffblcjjHmOI6q2Ya1r8CHUqqzUBajfFmlhACRBX6VT+S5nFKptH///mKxaFnW6tWrY7EYIUQqP5xzxloMDGQD39f27ds/+OCDAwcOMMa6u7unpqZefPHFy9euLl68+NZbb921a5dBBOJZYIr4oorBAHmreidQDR5MZDf19vZ6njc1NeW6LlQy6h+TAAOWSAPxIrm7YRjNZjOVSum6Pj4+btt2V1dXPB6Px+PFYh4aGnYCCp7cYBW2UgwCCBgxHo9PTk5CzQNY0um0ZMaMMcMwGo0GWBLoCkQl1QYsE/itaRqKuoDUwRQkPdu2jeQbAuWQaIZueZ4nxFxVAAwqYyymGUkkEqOjoydPnsxms+VyuX9g4C/+4i+2b98+NjbGldQK7Esmk8FWEv9UY7PZLBaLQBWsUcoZQogQHVCLKlYrUbSYAKMUfs5HJpP57Gc/e/HixUql4rouiNO27d7e3s9//vPLli2bnp6GSsnaY3py6HZRNueQ1B3PJYRQwJRSVXyQEM9WUTCwHtnAsqxoNDozM3Pu3Ll9+/bdfvvtDzzwADgNRAHIiTstBMVmY/+GhoZmpmZd28t0ZTVNy2Zznjd96tSZ0dFxIej4+OTGzZsGBwfT6bTUiITwaOhkiFD0sQCgoT1HIpFMJjM2NvbRRx91dXWtX7++UCiYpol+AGLbdtXT5NxP6AIbc133xIkTly5dcl13ZmZm48aNO3bsSCQSjtNsNpvCT+iClhWwWwJTkuc00uk0IeTkyZMff/xxoVC45ZZb7r777kQiUalUmB/DdV0XOw16KBaLr7/+ek9Pz/LlyzOZjCrnW//7bELlKZgD55ygcqQQQgjXcWzbNkyIVr1Wq5umaRgWqMswLNDM8ePHv/e975XLZcHpurUbnviTxzds2DA6OgqPcLVaBYVEIhHG2MjICOd87969tVotl8s1m81Tp0595jOficfjMzMzOJQCCd+aFadIaSGCwQkmNTSqWKdhipI7FYlEJiYm0un0hg0bDhw4gPAlaPLxxx/fuXMnXi+XyxDITMmWCJAiC0VddPBRdRJIqewojDpOFB+YAfCZxOPxhQsXLl269OjRo/l8/sKFCwsXLiSEwGaAysH8BEpMC+HV2dnZ2dlZMHXP86LRaCKRiKeShJC3337bNM2r16898MADK1euHBgYKJVKEgPCnIAoUXkJDhBqJBKJx+PvvffeG2+8Ad5/7NixXbt2LVu2rF6vx2Ixz/MajYZlRaEnYDPAt4CslNJisXjmzJk333zTcRzXdS9evHj+/Pldu3Zt2LAOGogEbOC8kUon+EDlA6+dnJx89dVXR0dHs9ns8PCwTIMHr8GpWl3XoeFwzs+ePXv06FHbth999NHNmzdDbgM5Wm9ZFvGZPXQVSZzRaJQIBmcgZsI5r9Wa0PTgFoe3Fw6xvr4+IcT3v//90dHRZDLpOvzrX//6+pvX5fN5KEW2bcdiMdd10+m0aZq1Wm3fvn2//vWvi8ViMpm8fv36mjVrtm7dKoTA3kkZCB7KFSe+tEMomwtfytRFqetKPGR+8Y1ardbV1RWJRLZv384Yu3r1ajqdHhwc/NznPodRbNvGLmONws+eJiFdKUACQggdFjOs0tbPeGWesL36UBUp8EIQQrCRly5dOnDggOd5l69e+cWLLzz37F9IG6AlWzTebDY1QuXW4uxby0pu2tFolHO+cuXK6elpqECGYRw6dGhkZOTpp58ul8tA676+Htu2oeNJFq5OTE4Vf2L0RqNx9OjRQ4cORSKRqampDRs27NixA3QO/wF8FdCpZIRUUnskEqlUKufOnQOga7UaEpC2bdsWiUTK5bIqkUio5Kf6wRDJZNK27dHR0V/+8pdTU1OxWIwxZlkWNGyJT9isZrMZj8cB7Wq1Ojo6GolEkJoFFRH6GHQnCXPpbBVCzM7OZjKZSCRCiRaNRjXGPM9zbM9xnFrdg+LX09NTLpel2Ici+s4774yMjHCPNBsOpgfgeJ5XLpdTqRR4RCwWq1QqL7300q9+9St4n4CXjz/++MqVK6empiRHZ4w1Gg3pCAFVU8UmMQydUuo6XCKk6gAIsEh0G4vFNE3bsmVLX1/f2NgYY+ymm27q6ekZHh4ulUrZbBYIA/VbKkqMMerPSnJYlbUJIXTwG9UExE6zUHhV+AkR6nO5SHi9CCHxeHxkZOSVV165evUqFPfr168LIRKJBDiuDOdBodQIhQMgFoslEgmcHMLxt//f33z7k08+2b9/f7VaTRk6IYTX+YULF/7+7/9+zZo1g4OD999//6JFg2DAEsrCPz6qrlmqIsgVd133xo0b+NLd3d3V1dXT0wOh4bouNlsIKm2ker2eSCSazSbUjGg0euHChUKhEIlEYEXEYrGZmRksf2JiArgl3X0Bga7CUx6WSqfT3/ve9z788EPLshqNBqV0+/btixYtQloHLBOYTFB4kErY1dUFWQE/ga7rkBWEEDhSm81mJBIBncCgL5fLY2NjMzMz1Wp1YnzKcZx4LGYYhqFblFLT0ovFYjQa3bJliwQjghijo6O/+c1vyuWyaURmZ2cffvhhIUS1WsVuJhIJNI7H4+fPn9+7d++HH34IHud53sjIxF133bl161awknq9DnNFWrkQlSB4mQBFKWUaEUJ4ri1RFD4YGYiT/nRJLUjXhwdv+fLllmVVq9XJyUkkxSCNDUgoEVgSnWg3XWTPLbtFUMKJQDRDo4yFsn0DOy01ZtVqxAI459FodGxsbO/ed44cOUapZllWtVq+5557+rp7dMoiRsRtuszQ4dlsSRWmReKJZrM5O1soFsuVWpnpVFB+0+qVS5Ys2bVr1+LFi1988cVIJDJTyFer1VQiWalUPvroo0gkcvTo0eeee3bt2rVIWEokEjCNoENLagEhIaIMoVEul5vNJpYJdxNkdCQSAQEAt5pNR9d1SjTLjApODd2q15oLFix49dVXf/j//UjTtGQi/dCDD586derUqVP1en3//v1bt94OdCeEwGkuNTGu5A6r0k/XdcuyXnrppRMnTmAykUhkcHBw+fLlclMlTgA1pSczlUoBG2zb9TzheULTDNcThGqmZRCqMUoajUbEihHBdM0cGRl5++23r127Vi6Xh4eHb9y4wTmHRIVo9RyuaVomk3n9tTe+/vWvL126VAgRjUSZpr373gcjo+OpdLZUKm3cvGnnXbtSmTT8k+AXmqbFYrEbN2786Ec/gmbR29uL7TAM+uSTT/b29l6/dg1rNHS9Ua+Df4FUQFeMsUqlkkwmR0dHb9y4sX79euwsPAREiR1BrElG6cOTCUEcxysWy6YZgSyNRuPYXEqpEC6lGvItUKiZEEIo50JQ3sHbPicVOG25elWJ1or7uB5p17jkTkuWKekHsAaTOHv27NmzZ4eHh9PpNNjw/fffj7MNkYgBqW0YBmEUgcumEIxQwzDGx8dxqNpxHMuy6vX67OzskiVLHn744Xg8vn//fk3TUqnU+Pi4ZujQfW/cuPHf//t//8u//MsNGzYIxSkHISadOZKwo9EoLIRf/epXk5OTxM84Onjw4NmzZ//yL/9y586diBX4e6wJQQEiLLC/v//8+fO//vWvQX5PPPHE+vXrG43G2bNn4/H4W2+99eUvf6mvr69araITZJJzvzYPURRi+adpmocPH967dy8hxDTN6enparW6Zs0aiEFAOxaLQVuWQhJaXKFQQPAH4RpphMiYqSCt6ArsonfeeefgwYO1Wg1JU+i8VqvBmTs1NcWIxhgrlUozMzOHDx/eunVrs9ksFAofHz2yd+9eTKmrq+sLX/jC1q1b8/l8uVyGzgxG8/Of//zNN9+sVqvNpq1pDKnHjUbjvvvuu+WWW0ZGRhCNwfxbMsSPqCLe9b3vfa9arUJT6u3trdVqu3fvhiIqtT4JzABISXv5dsmh0KBarYLpYDcty3JdW/i36ag6FA+lg7X4moyGoilTgj6qxqUKO09JHYUVq+t6MplkjJ0/f/7dd9/9+ONDqVQCvsJHH31k9erVtufajm1qpmEYrmNrmlZvNiCmOeee4xJCSqXS9evXm02n2bQNw4jHk8AYzvltt902sHDw9OnT7733XjQabTq2dF5NTk5+//vf//M///Obb765p6cHxAadUJWQcl3VanV2drZQKIyMjEDtdhwHB5j+y3/5L//xP/7H9evXg1R80NNqrWxauuM24/E4ZeLkqeNDw9disdjGTTc//MhDpVJpemZSN1ij0aCCvvzyy48++qgQAsF4GYCS2TFS7gOACKfcuHHj5MmTkNsw5ZvNJoI5tm0DwyCjJHfDLoyPj8MvIj0/nHPTV2bgoo1YsVqtBhkSj8dTqZTjOLlcrlQqQR2AV6qFH4KBT8FBd/Xq1UQioev6O++8k8/nIXgzmQy8LPB8yFD9a6+99otf/CISidRqtVgsitBNuVwmhCCKUK1Wu7q64CCVFh0CoF253MjIyK9//euzZ88ib4UQMjExcerUqdnZ2a1bt/b390O3RIkj2l72WlGFBGkdGUJWC6JPIhaLSD+1bduUCiFQJ0AnlFPaIdQjt6nVP+V6tVrFjCVWtYzakGDhSo6AVCK5n2YHZ9GZM2cOHDgARiUEWbhw4e7du/v6+hC845w3m03N0GUZKLB2j5BqtTo1NYX4ILjmpk2bTNOE7uE4zsKFCxcsWLB169a9e/d+sH8f8kwdxzEMbXZ29r333tu4cSPxPYmtAgXtuQiAQm9v76VLl5CaIVEZll+5XH7vvffi8Xh3dzckCefcMFrFDnVdBxO9evUqTnSsXbt2YGAAPlNsv+d5hw8f3r17d09PD3iQp2S5yi/EDw5gbzjnpVIJUX9QghACrBTHEqHNw+QTviPR87x4PA6bnlKKOSOKgr1A51BsoKBOTk5u2LCht7f31KlTZ86cQTPOeTKZhDB0HAeHq1avXv3444+vW7cOlbiuXbs2NTUFB0a9Xr/zzjuz2Sycll1dmUajAf/E+++/v2DBgnq9vmTJksWLFw8NDWFP4RTBWrBx0iEOqYsieq+88sq+ffuk4Sqzh1599dUzZ87s2rXroYceKhaLUmWgil9HorinnFGXggKMFTChvksd0szjrSw1HkqiVaVKSxjWGrau69QjGjMYpVB8fZJtiSGNUEqpYEII0XQdQhjnHiGEsZbvCOO99957v/vd7zC/ZrOZy/U89thjCxYsOH36dDweTyQSbtM1DMPFKXzf0WSaZsS0XNdFMgK08Egkkkgkool4s9m0a1VBWzn8/QsGvvTlp2/dctvbb7/93nvvEUI8z7Es6+DBgy+99NLXvva1bDYL+w8sgPkHgMHaweMppdPT08i9azQaqVQK7TOZzMsvv2zb9p/92Z8hvMg517Q5BQ95CUeOHLFte+XKlc8880y1Wk0mkzhWAcVaCBGPx3t7e69fvw7jB3adqjPIPQbSvP7663v37p2amk6lkvCGAYDwJgEz/GsiCUDUaDQQdZmZmUHnkACS12JTcEQxGo3KBfb09PT392/cuPHMmXO1Wq1Wq83MzMC7CIfBgQ8/GhkZ2bNnz5/+6Z9WKpVGo1EoFF555ZXJyUmwVMuy9uzZI4RIpVKc86GhodHR0ddee+3o0aOIqORyua985SuNRuPSpUsQ3TfffPPNN98MNYESAhVRxU5d18fGxs6cPk2EKOTzixYtgquwVCqVSiXTND/55JPu7u7ly5cPDAwkk0npgJZ0ovpyJGxJu49K5f5SuFHlJHbYyUbaNefWXXmCI5rbOl7DGFMPfqm1FbHO1lvCk7xz3759P/jBD6ampvr6+uBE3rlz544dO4TgPT09qqNGMKppWtO2oX3atm1oum3bw8PDw8PD8E1xzlEiDR4F6QCpVCqapi1btuyJJ54oFAp79+41TR2s92c/+9ny5cufeuopHPfRlFP+Up7CLXv+/HlQi6Zp4KOxWOzo0aNAwStXrkxNTVmWxfzAOVhdNBqllL744ouIb27evBlpKYyxdevWvfXWW0hcQBwGOp5t25IpSDVa+A5KjG7b9rVr1yYmJhKJuJQY0Wh0YmJiYmICVhakHCZQr9drtVoymcxkMkeOHPn444/j8TghBJABUUmvGgIgSFyAy0EIkc1mm83mfffdh7ASYIUFRiKR7Vu3ITxSKpWQUlAsFiuVCvL9TNP81re+hSyYWq32gx/8YHp68urVq5VKBQqe67qf/exne3p6jh8/Pjk5CZ/E5s2bEWapVqtECKKUUyK+k+PYsWNI7vrGN74hqaVcLj//05+OjY3pur5v3z5d1//6r/9aJphKGpB8REoSoYTyiG+dwsCTkQy/ajgh7ZaPFCzy+RwWgTOpgV5VDOEQG1E8Y/J/xphhWEJQzvm5c+d+97vfITAELWLJkiX33HP34sUL+/v7pVdAMEp1TYLJ85NAkXaFngvlkmA0mohPzc5MTU05jsOJIIw6nisogfMU/tw/+ZM/WbVqFVgsePDhw4fRG1Nu9xV+agm4wLFjx37/+9+D3QLoX/3qV3fu3GkYRjweZ4yNjY299957CE5rmhaPR13X1jRqmno+P3P48MFo1Fq+fGlvb7fjNB2nmU4nTVPv6soI4WkanZ2dff311y9evIhAjRBz4lfCEI4H8Gl4vSYmJoDZXV1dS5cuNU0TqaW6rmcyGVgjsF6QxgYkRrIJISwSiWUyGUQtgLLSwoQHGZlmnJNGwy6VKo2GPTY2Njs7Cz0c5o1t26VSqVqtQi+q1+vw7HMiBCXIKMPejY6OvvHGG//8z/98/Pjx4eHhZDKZy+Xq9frixYv/6q/+avfu3ZZljY6OgtEAsNlslqg3HvuSn/mnHiAP16xZs2vXrk2bNi1cuHDDhg1bt269/fbbNU1LJpOU0nPnzoGVeF7wImhJLTh3if9xAJNpRNMpoVwQTxDP9WzKBBeuxx0uXNrh06I70n42jsgqFq1gFqUyjxr1byiZO/CA1TbqNXSBuASltFCYfeutt86ePYvAohAik8n86Z/+6YYNG7ifJCJzrqCWAOh4TggBDxNCJBIJjwjbtovFYl9fXzKZFEIUpyZl9iS2H4dXlyxZ8sADD7z00q9KpZJhGOVyeXJy8sSJE729vTLKoSpjoJlarYZ0OplMuWTJEnii4PEsl8tvvfVWT0/PkiVLPP8AOoKSR48eRYZoIpG4//77p6enUXnadd2lS5eOjY25rlur1SYmJmCpCyEqlYq0xFh7/gusW8dxPvjgA9u2gU8LFizIZDKTk5OZTOa111575JFHMplMtVqVkR+YqqlUanp6+ty5c5qm6bpoNBoLFy6U+qdkanJowAFAQPkIXdel485xHKRgU0pN3QCEOedIcYchhLBSJBJ5/vnnIZQgr+DA1DRtwYIFf/3Xf7127drR0dFEInHp0qVMJgOTD0tDjqOuaUAATTnfAQlTKpUQ8YQHOZ/PJ5PJxx9/vNlswiNaKBT+7//9v7t371b1f5VUoE6p+C38MLG0WyClcY4f/GVOh2p1qMqZttA80wjVlErmnudplBmaLvVC4pv4gLiumYJTxhgwWAjx+uuvHzhwADIKaQVPPfXUnj17DMOAK1DuE/Gz08FWgU+c81gsBrhLi/aOO+5YsWKF47n5YqH1Cm1dLoPEGbDMLVu29PT0pFIpwzDS6fSlS5dGRkZwpk/KYqmSIoENjjjYtc1mc8OGDYyxlStXPvXUU+CvyPs6dOgQfKywZU3T7OrqqlQq0Gq2bt0KVgpC7e/vX79+va7r8I2Oj48jMiuEMAyjVqsF9k8IkUwmEca9ePHi1NQUNP5oNLps2TIohIg3v/7669lsNp1OIzrpeZ5lRYWgQlBNMyYnp5vNVhIDqjfI4l2tlEpCKNUY0zknnLdsReANRgGTlmcEPM+r1mtUYyNjo9eGrp86c7pUKXd3dyNxDiercFpJRiQw7U2bNv37f//vb7755uHhYcZYtVq9cuXKzMzMzPT05k2bbt+ypVgoMEo1n3Npfga6dPRfuXJFCDE5OTkxMYHcakJIpVJZsGDBrbfeCilXKBQQIJKZo3KXqR/mlyxSSgppkEh7BioZiFa0X3+r0kbgOcZqK64l20GaS1HD/OwJqYZRSpvN5vHjx//f//t/wDNs1be//e3Pf/7zkA+wU1U3X2t4rRXQSCaT6XQ6FotNTEx8+OGH1K+d7vkZ3fAFa35VHmmsYyVdXV39/f0IRHC/3gfElPTXSc8bpbRWq+3fv39mZgasMZVKIcBSqVSefPLJdevWNRqNXC6XSqUuXrx4+vRpZD0RQrq6uq5du/bBBx/E4/Ft27Zls1mEKZLJZK1W6+vrW7VqVXd3N3ZidHT6/Pnz8JwKIWC4UyWbAyVRdF2/du3ayy+/DGMa+Lpx48YHH3zQdd1EItFoNKAvAavgMyiXy+A75XIZehR8x+hf+tkg8eT2kfYDSIVCgVKK12FSQlPIZrO6rv/617/+6U9/+uMf//jatWtAry996Uvr1q2TyXLYVoigz3zmM88999x3vvOdtWvXglQope+++y7uSOnp6VmxYkU8HodqR/xkcM2/MxDMMZ/Pnz17FtllOKCBtaTT6cnJyWg0Go/HUV3pzJkzwj9WQNutcHxUOiF/xCdssUibXu0ED/WgvFHSPG3b5jqnjApGba910tWxPcMwDN2s1+v79r//X//rf41EokJQ2KNPP/307t27OedQeDjnnuCMMda655ZwzqnGGGWUUi5EvdFIJZNCiKGhIeRBaaZRKBSSySSQGLc6eb5fAXWgDZ0RwhuNWqlUKJfLMuHHcZzp6WlKaSQSkfEH6ocmkO1y/vz5arWaSCQYY5s2bUJsMZlMDg4O7tq1a2RkBOlh1Wr1/fffv/XWW3O5HIT+L3/5SyQdRSKRHTt2wCQFh4aFI8sCJZOW67rZbBbSAKFrKWrA52ATT0xMnD9/vr+/f2RkRAixYcOGDRs2IOp87do1xhhiVul0Wqa0YCDP82ZmZiQD7uvrg/CE9JDGkuu6nEMDaQWRASU4wUzTxJNkMglX5AsvvHDkyBEkOiQSCZhMjuP09/f/h//wH376058ODw/n8/lSqbR8+fJsNrtt27ZbbtkAaIP2TNO8cePGlStXyqUSgi1QeqHRgUWqJoIQolarnTp1Ctr46dOnr1+/vmTRYkPT4VxhjJVKJXgCpNMc9CZTV6hiUQfIQBJDmHiEEr5sbxAsLid5TesMHVEojCo/E0Lg20HIr9lsOo4LNnbs2LHvfOc7UBLw0wMPPPDkk08C1eDTgPmo9iYn2mg2obU3ms2ZqelDhw4hEct2HIQ+sE+u6xqmCc0BOph01CIkB1GOMG2j0bhx4wb8LdKjT3yjxbKsGzduIGdRCJHP5++8884VK1aMjo7CaN65c+cbb7yRz+dzuZxt2wcPHnzxxRf/zb/5N4SQixcvnjx5slQqRSIRJJvYtj02NgbdHVHn1atXHz58WA4Ed9nU1BQQXTqRsRYhhGmaExMTs7OziEI2m82nnnoqnU7PzMyAx2uadv369atXr95+++2O4/inZw3OeXd3N6Q3Mqwsy4JrC/1wzwMBQ7JhdCTjoHaEbds9PT31eh2Mplqtvvzyy2+88Ua5XIbrfNGiRffff/+OHTuEENA2IUZmZ2cB3v7+/q6urr6+vmazLoSQfki4+KTUtW27v78fTgt4X4hyZxjMJ8MwZmdnx8bGDMPIZrPwEyJtFNZdKpUCCiGjFOaxailIURBQkQJ/EsXTNR/9yFfUNtSPKesEpIk3eetSP3ywHogI8Ll6vc6obtvu6dMn//Zv/7anu48xZpia67oPPPDAfffdh/YAX8vRTNqWJOckkw5d163X6+Pj46A6p+7FYrHbb789k8kISjRNq9bKyWTS40694bq2E4lEuEY1TYtFojrTSCs0S03TXLp06RNPPCG1NVhyctmu654+fRqCwvM8KEjg1ogJrl27dteuXS+88AKyKpPJ5Llz5yYmJuLxOCLfrut2dXUtW7asXC7jeIbrupBUsVjs2rVrsKphQO/du/euu+7CrlM/qalSqaCS0PDwMNwG1D8E/9BDD23evHlmZgYBO0jXkZGRyclJWOEoGwcfQ71en56elqE6KGnQYLGvMCcIIVga5y4OAhmGBlgVi0UYAM8///wnn3xy/vx5y7ISiUS9Xn3wwQdvu+22XC5HCHddxzR1x2kK4W3evBF+OTCIer1er1dhqslwMNzZgDz1I4DxeFyaXkAteaAAMetCoUB8B2Y0GhWUuK5rN5u5nm6EXOAHB/eEfRWgk4DJIf8P00NAuVLNko7UpRKMHqAztTuECxBjppTCl0KJNjw8/MMf/hAH4ur1OmXi2WeffeCB+6anp69evdrV1YXkCM8/scA5J0SoKwJQZB4U1g9Fv1arxePxO++8M5FIFErFRqORyWagGNi2TbiQRy84541GY2ZmBuFnx3HuuOOO/v7+ZrMJzirZD3jY7Ozs+fPnk8lkpVKhlHZ1da1evRr+aKid09PT99577xtvvDE2NoaAw4kTJz788MPHH3/8+PHjKNW+ceNGGOIIaEjneLPZ3Lp16zvvvANTYXx8/OTJkytXrozH40K5UTWVShUKhVQqlU6nX3nllStXriCNIBaLff3rX5cukK997Wv/43/8j3PnzlFKS6XS0NBQf3//6OioZVmxWAKSBOkhEFyzs7MyD4Axhp2XRmaj0cAQCJI0GvaJEycuXrwYjUaR0SeEyGQyxWLRcZzPfOYzzz77LKV0dHQUKSoSK3C2Ho6QZrOJID0GkgYx5DZCUjiumMlk6vU69U8cUP8oC/FtGKA+5xwaCrIzS6USFQRDjI6OXr9+HexAU+76DaN+QEqoFNVRngj/VLb6mU+vI4ToVPgmhU9b3E8pk/GQer2u63o0HqtUKkcOHXrrrbfGxsZgxiWTycc+/+j69evT6TRkJdYDJVv3i2f6E587OSAzHRHZ1XUdpyPiRFBKo1FLCK9Wqxh+PXb8D5BBzatWq9Vq9caNG4QQRLWRDwu9HNotdgUeZxzOhr5uGMb999+fy+WgyGGDoRx/6UtfeuGFF0AAsF6WLVv21ltvIbssm82CEUDRR1eO46RSqVwu19/fj3MmlmUBHXFfggyAQGT19PRcvXp13759yWQSPLivr48xNjk5KXxDXNM0MFTYx7Ozs7CUIpEYIeTEiRNvv/02dPpEInH33Xf39PSA9Xqex4WAmzESiVy8ePH3v//9ypUrDcOYmZk5c+bM9PT00NBQsViGrxYmX6PRGBwcvOuuux577FHXdWdnZ4HBoEZ4WkF1sPJd/85HeegNx+yQ2YVkStM0FyxYAPYkcwKpX0hRJjpMT09PTEzAS5lMJhEdopS6ftWly5cvw6+QTCY3btzo+qXHw5oYpa1b7CWRBwQFCStjghFCKJszbwKSaq4fweZqVcqPVCtlNFoexjp+/PhPfvKPV65cgf+nWq3+2Z9/Y8+ePfDeJJNJaZnNTag9uCk/nn9sXWPMikZc1204tu25hmEMDg4KIVCfAc1kWAZ3ZkDzvnDl6oEDB/Izs5RSwgUwD3NWtS/QQDwen52dLRaLqMeDxDOYobqu12o1HKZLJpN33333lStX3n//fcMw+vr6SqXSP//zP8/MzOBwqPCLAbj+IUrdL1XR1dUF2kAtmFwuBybq+NUIHP9m0Eqlcu3atQsXLsTjcZD3hg0bEASIRqPJZHJmZgZZ9J7nvfPOO2vWrOnt7YX+AwZ0+PBhmEbIqt6zZ8+SJUtGR0eh8XucT01NHTx4cGxs7Ny5czMzM//yL/+Cbj3PgxmQSqXy+TwgSQjp6en5u7/7uxUrVtRqlUKhoHI0MCwZMQM/xp+QBggGAEMuXbp04cIF13WjkUihUFiyZMltt91WKpUqlUomk6nValLJB+hAGDKXB1nVfb0DlmWZmmXbdqPZvHz5cjqdRhj3ySefxEGaAJHIPoVivqsEE5AYtN2QDsgWlaLUZq0qFvIDxxdekNGuRCIRj8d/+ctf/sM//EOt2hgYGBBC1OqVP//WNx988MFKpWLbDUot6QpjTG82HVPTXZdrmmYZKGhEBOWMts73aagtZlm6rp87d258ckI3jWa90WzWM8nVKNjRsJtCCKfZ2irNT0UhhCA16/e//329Xs9ms/VKdeGSxQ/e/4DdaFqGifbc44ZhpFKpTCZz6NChF198MR6Pg8Ol0+lMJgMzQJqbwKR6vT44OIioQr1eLxQKQDKYm8uXL1+wYMH4+Ljwz/ZIHkkI6+sbmJqaqdUajOmnT5/N54sLFy5uNOx6vQ7jOBaLRaPRfD7/6quvgnMDab761a/29PQUi0VEe1AbRQgRiyUmJ6cvXLi0atUaw7CAu+fOnTtz5gxc2IjSWpaVLxQM07SLxQjnpmm+9tprFy5cuHHjBtwApmnOzs4iGRROKttudHVlCCFbtmzZvHnz4ODgsmVLqtUy6i0BOSD2iZ+rqsYPmH+yVzCKSiz4d+HypVKpRCnNFwrxRGLL7bdz31eE4KNkx7quc49EItF0KhuxYoJTylg6lc3PFiORWKlU8jzBifjpT382OjoOul2/fr2mGd3dvdPT0/CqC+USIZ9FdqgQTxSlS8oT37UlhBCEE03TWlkwvHUZG/GvBZPUwlQVXyi3BIKNZbNZpA/90z/90w9/+MNkMtk6nEm83bt3P/HEE9PT06VSAVE/6qff6Loej8c1TaNcIIILBxE+iDRRSpH4ND4+fvz48bGxMSGE47n1SjWdTtdqNYAV2AyjHEYhYywWi5XL5VKp5DhOKp4QrtdoNL7xzNc2btwIwYLMXJkB0Gg0cG0nSs9wztetW7dq1SqunB8GX4DFdccdd8Aih7GEZEpN09LpdHd3dzyRiMViMpEMJcUQI08kEnAGIFgkFX2cmQGuCCHef//9EydO5HI5hFm2bduGzBH4POB6vvnmm3O5HKD96quvQtp4nof6qENDQ4wxRPTXrFnT39+P/LF0Oh2JRPL5fCKRmJ2dTaVSsIsopf39/Vg79NUtW7b823/7b7/73e/+u3/37x577LG1a9fWajWoWKhvJM0J6TnQ/NtOJMfV/GN2eHL58mVEhwD2XC63dOlSmRPNlAQLyYsZY8lkEo47y7Ly+SJj+tjYWDQadxznxz/+h9/+9rdwcOu6vmbNGiFEqVQKywFVIEiTBvim/qTaPAF50lHUBB4yWIHS24ABuH/qCHvw5ptvPv/880C+dCbJNLJnz54vfvGL+fxMJpNCnR78ivTbrnQmGYtHIhEoJ5qmlctlznkynhAez6TSOtMIF1CrKKWFQkGG9i3LWrNmDa4F5JzDp+R5HoQ4LMVYLHbixIn//b//txACJsG6deu2b99eKZZiVkT6AOTh59nZWYBY+BGShx56qKenx/NPrkNqI6sFObmf/exn4UuF9g8TAh6weq0m9WbLsmBz12q13t5eIUQmk0mn0xhOXtzOGOOc6LoJZ/H58+fBFxEh+dznPodYJJAVEm/jxo2Dg4NQDoUQf//3f1+pVLq7u4vF4oULF2AfFgqF7u7urVu39vT0CCEcx6nX6zMzMygB093dXSgUdF3v7u6ORqPIcXzkkUeeffbZL3/5y88999yOHTtw3Gp8fBzHfsCkwLaRJyIdjAEckmwbiCjtTzjukOdPKTUNIxqJgOTAlSDZWkjMhOvZlmUhORqvvPDCC3Dol0qlAwcOIBfJcZx169bde++94G5wP6hyQ9KAan4AmdWENKGY5SqlBchDqloB4mlBAcac8EsPRyIR0H25XP7JT35y6tSp7u5uhFxgC27fvr1YzIMZw3yE7YVdtOs2OEc2m+0d6O/u7l60aFGhUOCcJ5NJeFSgPXMibNvOZDIEZTs8nsvlFi9eDCrlRMDBgAMSiEzBr/q73/1ufHw8l8vplJmmiciAzJ0hhCDTCZEZBCVxPgRRi5UrV1arVZTJQVEIGQPB3NasWXPs2DFEVIRy7rJYLCKa7vg2KMSIYRiLF/csW7bsyJEjqE4N+Qz8AzTi8XgsFrtw4QIOrEORW7FixYoVK+CXI349wVgshgIrjLFMJlOpVCqVyne/+12klly6dAmxqf7+/ieeeGLTpk0onAXVMZlMTkxM3HzzzStXrjx58qQQAmK5UqkMDg5u377dtu18Pi+EGB8fJ0rFWml8EyUbFTQD81V1x1NZc5208M8wjOXLlyOKPzk5GY/HN2zYcNNNN2FunPNoNIr4m1SK0AMltFarQTJHIpFz58790z/902233bZ//37XdbnrMcYSicS//tf/ev369RMTE4VCIRqN4swICdknMmBBfXeoNGNE+wWgpN3iD0uS8GfuDCpUcNc/BQ41Y+/eve+//z7Cydih1atvuummFdPTkyOjNy5fvmya5unTpyuVyszMjOM4jGqUUoNpnPNGw9Y0bf369dFodM2aNbfccksul7Msq1guRSIRGNy6rkdM69iRo/VqDTcY5nI55DWYpsmJQPQGhzRQ2EbTtAMHDnzyySew/EwrksvlNm/eHIvFisVis9m0TLPZbDLTpJRyj5cKxaFr14euXY8nE0CLVCo1NTV18803w93E/AI8cHPJ4Bd2FFQBl1S1WkVYnfkXtCO8AMYpBF2wYAGkWbFYHB4evnjx4i233ALzF4cWz549+5/+038yDAseatM0v/CFLxA44ikF9wFVm6a5du3a6enZWq2G8IjjOJcvX7Ysq7+/v1gs1mq1tWvXPvLII6ZpTk5OUsZkkhgkczab3bNnD0ZnfplmSGkkkgCHsEBJNo5f+RaLor7zSsUzFb1wlxtciMXZ/McHD83MzCAwvW7dOogFaKHcL8Eh3ceuX+jQcZyBgYGxsTHTNHt7u48ePXr48GFCSCwWqzWqsVjs7/7u71DDlnPuu6SDk5mbkiL05ENVjFCKy2E0SfzhV8JE1aIW5HqAVEzTjMfj+Xx+enr6H//xH99///1IJILQMvETRT/++ONDhw9+9NFHhJB0Og3fKzwVjGqe52mtqwtEJBJ5//33dV0/dOhQPB6/995777rrLmboul99Qwjx8ssvX758GWU4LMtat25dOp2Ox+OlUqnp384BZQyx6oMHD77zzjumabp2q3Lkpk2bdu7ciZA8tjkajXo+I6nX6ydPnpRh4KZfInV6ehq/IlmQ+fnRQNY77rjjtddeu379OioRwyAZGBhYtWpVsViEBg/HqBRZcPH19fVduHCBEFIul0+cOHHnnXemUikA+cKFC9///veRnIuUnHXr1q1evbpcLsMxBbwEC6xUKl/4whcaDfujjz5CmgwhBNEbGB69vb1f/OIXu7u7p6enNU1DchAc6xCwCMxjycgroX6lP691GbeOKCEIHvIQywE+SBNFihqm3KYGCaMxJn19r7322uzsLE6YxuPx9evX49SxjNoBKTWlBIrjOLpm3n777cjioZQODw9bVrRer6dSKazl85///KZNm/L5PLqC6Cbtt+tIhFbNEikDSehwmKSrMFGFbRj5ZyuHGfXJAaPZ2dmPP/743XffPXPmTF9fn/SMwQx48803Pe76kSnPcZqIyfqmPKVMo60CiJ6us1gMdTUbtVrlF7/4+fHjRx999NGVK1fGenoc7lFCZqcmhetEjGSz2fTsZiqVisViOByHWhZAIM/zuru7r169+pvf/GZ4eDiVSnHm1Wq1HXvu/bNvfhNZYclkEjW2KaXcduLxuGCtyuWmaRIuquWKbhrbtm3LZDJQPoF/cJEj1RLGQ19f3x133IEQDa62sm2+ZMkSJDgjEI7MpaZfZtYw9P7+/lwuh6IQpmlms1lN03CxTrPZnJiYQFk913XHx8cHBga++tWvyr2BzgM/MrzVkUjkX/2rf1Uqlc6fP0/8suJQBbu7u7/+9a9v2bJlYmICiK77bBthQVAOvK4SNV3Xhb4NNRsKkkQj7heklpoS6ApddcQeSqlGqCdIo1pD8AoMt1qtLhgY6O/rQ3knrAtqgvCLvqIToNyGm9edOHEim83euHHDdV1dd7LZdKVSoVQsXbr0nnvugaqGKaHAi+cFq375poYQ7TdLCwFVLZh7RUIkETZgAgTGpLMCSVC6rn/00Uc///nPjxw5AuhDL0dCm+c5OEWdSqWAzVJSL1q0aOXKlYsXL16yZMmKFStuuukmBBwymQwydnO5XCwWGxkZ+Z//839+97vfhYVaq9VWrVoFT4PnV4iD5wqqAkL+lmUhPvDCCy8gWdXzvGq1umLFisc//3lMD1wHGYeyGKHjOO++++7Vq1fB+2u12uDg4ObNm6GrQGBKFAHLwJNisbh27dquri6wZ0JIIhEZHBwEMcA7pxZ/gOMrHo9jtg3/ijk4Jzjn1Wr1k08+gTM6kUh0dXU9++yzmzdvpn59eNMve4vGuq6jwuA3vvGNvr4+RHuR7tDf3/83f/M3Tz311NTUlNSXuF8GANomnqveIUT6iS/BqFKoREVcriTXUUrh4ZQg8vy66dKJiknKLaN+JSoUBIUkhJjCxCDr5JSwBdVqdffu3fl8Hi5BbGg2m73//vv/83/+z+l0Gjk+mBj672iFB1BcdZcFSaVTDDDchiiqnRBCB8XjfAghpFwuDw0NgUPDbYfFWJY1MzMTjVqxWMxx7WQyuWrVKiG8er2+fv36bdu2wasLlzTxOKU0P1s4ffr06dOnkXENfwDOh5w4ceLb3/72wMDAokWLcKYKWYOe5wHPIFvgcoBtUC6Xf/e733300UcQAsj8Q6WFQqHA/FAA+CXkhmEYly9cPHH0GMgGEnxwcHDx4sXSIdFQrmJDiiGUewTyDcPA3HA6l/gVVnFkBXog2A2gKWucEkIikcj58+cfffRRxlg0Gt23b99vfvMbeCwcx7nzzjsXL14s/GpmrHVLcCv2J+uwaJqGpHdKKTLTcrncl770pTvuuKNcLkMVbGlH7QoJa0/oEP51GppSrkT91fXr1gYwSdXsiWIW48M5h5aoadrk5CROBOmaFo1Estkscochl2AdyZwGQAkkhNfjiejffudvfvr8z/L5PGoy7dmz54477li8eOHY2Jjr2oZhcO5R/4IkOTf1f9qqDhYI27dRlCJzhFS9wlKlo5xp5SNg5ZqmFYtFGZOWsQKcFM3lclu23BqLxSgjQohkMplOJ3E4Nh6PJ5NJzjkhrNlsaoTquk4J27lz58TExEsvvYSSLtPT07CwTdMcHR0Fm4HazTmfnJwcHBxEzETTtGq1akUjhl+R7Ve/+hUKgsA1vHjx4s999tEtW7bM5vOGrgOzCSGIKuKwISHkwIEDo6OjuAADJ/hWrFjR09ND/FIykJDFYpFSCi0IwfhUKoVyumhGCMlkMgsXLpQuIz8iSRSOq8GyAruFvXTjxo1Vq1YRQq5du4bwS6lUWrly5YIFCxYtWgT3GmhbBsh1vz4v/MXxePyZZ5555ZVXNm7cWK1W161bBwkGRR9YzjkXoXC1RCOV44b5ceATtnTRA2vP+cUHvkHYgRcuXJidnTUMo9loRKPR2267DUKA+DngzE9AFu0HrTArqHDPPPPM6OhoNBrt6emhlPb29qIMrOnfWQC1WS6ko74U/rUjqQRo5g/CgRCiu/5lmfBjVKvVwcHBO++8c3p6uqurCxJjzZo1d911l2mahqGl02mqUce2Xdctl8vgpohF6LouRCsk4jo2EyQai6xZs+YrX/nKjRs3Go3Ghx9+ODQ0BHbCOa/VaitWrMBxcIQFV61atXHjxmKxKFjrGhkkz//gBz944403JBvGKa5du3ZRSu1GExgjQQ+4U0oTiQSy1xrNJsQFUkhApdJIQK4UpRRUIVM8VqxYsXXr1qGhoWQyCXs0k8lcunQJ6YlIqBG+dxIn25YsWfLmm28uXboUvCCdTkNnOH78+KFDh1CTKR6Pr1mz5v7770eARYhWnTHq+2TlWqrVKmN6Pp/Xdf2LX/wi+DFyxmQajubXCpIMUrJ/NQbXkVN2xKfwR65RJRiuFFdIJBKWaZaKxfGxMV3Tap6HTG0EpuHKF6G7hLifMyb1QNM0rYixdNliiEFG9ampKU2nUH8YwmLKkdg25PZ75pwQ0bpfjYiQNwzPqcYFh4UTEJvEdwmoJCdX3SroBlLhnC9btmz9+vV33HHH9PR0JpNJJpOEECRuIGurVCpFYxGipFtz7sLHEovFGNOFaF226jbtSCSSSvLe3t7ly5dzzm+55Zbf/va3XV1dSDObmprinF+/fr1cLiOTZdmyZWCrxWIpk8lE4zHP8/7P//k/v/3tb6EH27a9e/funTt3rl27FuoKUB+SRDoGQPywGWZmZuKpJEIxyWRy0aJFMiUWXjgfylxqCJzzfD6fyWS2bdu2b98+eHXT6fRNN92EHDAZ3tb9w7qIaYyOjt5+++1QsiuVyoYNGwYGBvL5/Mcff4xjGz09PQ899NCWLVugmrquSwiX6acQ765/Eth1XV03cX4TwhPp1SAMJGhCKFmWZTsOadfUJVoH1Kf56CGMHAFKC7wO7Nf96zFGR0fhJ9B1vaurC3FbaTXR0B0pRBHLhBAARJKQruvcr1QByKhOrfmkpWjPSg4wC2mqQaqpL1LlerAA01GhoWsarderzWbdsqxkMg7uRSldvfomrLzRaGQyqWazadsNHMDinAtKhBCmZWWyWVTZYRp1uUfcObNSt0yqa8VK2fO8Sr2GdJjHHnsMbi74AI4cOTI1NYViRbfddtsjjzwyOTlpWVY2m00mk1Mz0//rf/2vY8eOwf1QqVTS6fTixYu3b9/ebDanpqbi8bhGKQKO1E++lJmCZ8+efWPvW/FUEgZlLpe7++67ly9fPjU1RfwKD9LOkdqC61ephLh7+OGHx8fH4/H4li1bcAMb88vzaMpBRexoT0/PkiWLcrlsIhFbu3b1xo0bi8W8YVhDQ0NI0d2+fft9990H85e05FgrKCyUZA1Ie8MwyuUqVarrY6qoPoHLhnACudFoMOUyShVL2NzFWv6/edQMiTjzPKbqF4leuDQIp+UQqKlWq729vahJ7dN86xwYfHTMvzVApRxEigF5KMZwnTWaLvI5mv5VbVKVCC+WEEIIoxRYToQIH67Ei3NKoPpRyawjZ9EbjQZCfmq5N0opgmKgBEgeSHzH8TyvQTUiNXikG+KWTafpSkckdC3BW+jreZ5wPUIIOGKpVEJZN9d1Fy1a9Nxzz+VyOSFE6yCh6/zkJz85ffbM2bNnKaXQOhKJxLe+9a1bbrkF3L2ViypaWIv5yL2Znp4+deoUMvwg5bds2bJjxw4waWlcAu6QHjCQEJ2UmfwohAVTFRXDwAKlNo9lxmIxw6CoutDX13fXXXctWbJky5Yt1Wr144+Pdnd3T0xM9PT07N69u6urq1AoMMbs1tUAfsEdH59klNB1XUSEmX8UHpYkZggRCu2RhUo2BjBJxQOp9c1LMCFLV/6pYp7EsFqtduHChVbYx/MIIatWrYpGozgoropNqY9JQSHBCCShfr3jaDSKwqXSa4KfMChTaroGSDogUlSBKYSQUZrAElReMB+pCCF0QBx6vOSssN4QN4BDlvpnV5iuaX71VEopY60bt1ulrhBcazSIvDyAtto3Gg3PMGBUOI6TH5u5ePHigQMHstnsww8/bBgGlKiLFy++/PLLRsS6cePGhUsXka9ZqVRuueWWb3/728uXL0dUsVwuW4YZi8WEi5urDIkNQLJUNtNwbNjxyFNGWZZKrQrvnOHfGoVSopRSZMEQ5c43BOaFEPAaQ7+CYYPniPHB58Z5LZFITExM3HPPPZzzeDzePzhYr1Q8z+vv7y2Xq0uXLu3v74d+iA3QNA1HGqmvygMhiG8+gaKofxmomvyPlUI9hk9MkoGK6yrGqyIl8Fz+/8foY2AWCNGahlEsFmVScKlUWrBgwcqVK8FEiGIDuP4ZUhUXJWrK8Ki05sEEo1brRl6daa7rUsb8vW5bFPX/zRkthAiiCZAHyIRS0jrORagghDMmaMuLJkirtBJeF4TwIL+gsPKFEDJkrvvlVPAdiSHEP9rGOSdMlqDVcTc94kSyfA7xM71bKMVbYILiLi9Xsm0bIfx8Pv/uu+/GYrGPP/54aGjo4MGDpmlG4jHXdRf0D+Aq49WrV3/zm99cunQp0q7gbhYe9zyP+mF4z6/9RQhpNBpGxLIsCzUUoQXdeeed1L/Hj/mFm7FGKW1APLgn2vAvecMGg2tiC5lf80n4wRZd1ynVUK8ErnBK6fjICGa7cOFCxnTOufSMYw8457reKqSCh0argGIrMCKfCD89nPlXqGKbYLd0FBRSjOBPdVyVGFRSoZQKpUa9qvBITizHYv7dl7VaDX5OwHZgYABp1CAnaKqMMUTiuZKOqc6N+WXgsSnynBlkqaoLcKWEEGmXn6L9LCRV7q+fTxYR0uY5pIqNF+AXRFbfUx3hktwhGeVryO0XBA0gGedkGV5pIRPVBBca0wkhggqu1I+SnKNSr3X1dDcc24pFT545feL0KQShueN2d3e7TdvhHud8cGDB3Xff/fjjj0cikWK+AH+u7V9n0zIKBRdEEI15QpDWxvNisXj77bfPzMwMDQ0ZhvHss8+ilpxckWR4TF7U5hebknEANHP9ulUSap5f55L4F6pwzoVoZdfK26WxWMSL1MI9us7kKWtJdRKSEkr+LnN8ZX5uuGjPDpRgxx9U1aOEkGiOhzIzUhIAac8pDuCNikDyFdwlRgnhnheNRqenp2dnZ9EAOakoYUF9Lwjx6zLjuyRCiZRyOTj3wZUsT8KoJzihhOJGWXl1hGi5vFoTI4QCRKSNDgmR1e5RfL9VeYIQpInNJVy2Vuo71zDCXFEJCHzup3Ay5SQAUViOSmHoXhXWgSBXO9W29UN8ZgmMNwyjUCjIlGf47B3HiRgmWmpCu2nN6qeffnr16tX1eh1sGy58ZCVJN11HHoPUtS984QtIZ2w0GkgOoL7OozpY5c5JpCHzsC6pdov2j9x+sBiqVA+D+tH0r4URim838G6Yn8nJEEII6TCoisoBsAecSGjMlArC8rlKCbyT/UOVK7gEdBJdh/I8PT195cqVCxcuQHeIRqNPPPEEDiETQmy/ZjGkhwj5kQPrlX/KCbRDoG3asgeV/cknROECAcES3lnZVQCegR2Zu7aKKJXL1Amp76vUIl9U1xtYG22X8lTRjHH6ZWBgQNY3IYSYppmMxRcsWLBk+TJd1xcvXnzTTTfNzMxQSqPRKCqDyGvQpPeWhHCaUmrbNpJB4UrGoS5TuZKWK7Wl1ckHBH0AxCpMA1CS78rvaAYtUb6OPyXREuUCw8DmhYaeMy1U/A5PVd04tUOmpLoEmILaJkx7pJWg1bqCC0/B8pBtjXIWyOhBMris0KCHLkPtSNvqF5WVBP5UKUElGPKHMF60s34VUdVNVPsPgJQQomvaXN4yaScmlefNcT7WgYLV3jnnhBPZQKKCfAv5golEYvv27alUKhqNZjIZXB5m2/bGDTdnenoatWqpVKrVarizUkp26eCW5+9YqGaHnAyMBIQgAYhGo8H0NtVZhW+A28kVSctNGtxqA9le2r60/RI2zz/dzpQDseoWBjZG7Xm+X9XJd0T6wPYRhYTCGKMuPGCFy5+YcrkcoxRuw3g8fu7cuXw+D6nSbDYfeughnBES7aqHdJMGYBsm6QAlhyGg8lx1OYHdlA8D+0tCpBKGrQphtZmu0iJXEuYCSCBfFjxIo1DwVEBgfMrb1iM7gX+QUgpvWDqdRo1QlEhsNBqlmRnbc3HYVZ6ep37RePgbiFIHOrxg6mcZyvLKiGBIEHO/2HvHDSMKC5CeA8+/EY12YvDCF/oyk0BFCKmCquqfUHSwAB4EyLLjdoZ3NwABuYQwvalLDjzp+BNt1+vwgfF98eLFQ4cO4cgkMpJ6e3vht4TV7vlFmTX/ZhHSiYblnx0JSZ0JPiq+qZP3rZSgLhAGtXydtNNMgFbV57pQ4C6VB00JdamtMY46XoA/tfEqQkgolizxQO4ozvEhIFOpVNym7bpu023lAsEpp2kajk8yxhCrcvxi5EShQ3U+8DPCDwNlQBa27AiIwKLCbYjvumF+yL/j/gFFAhsswespZeM6Ak34h2aJT6sKugexX3oI1AkHiETd3/BKAzikTizMg+bW6z+cnJwcGhrCmVbHcXD0X1r83C+fLS2WgHNCtlGnpMKNKkZveIaBrjpyH7lM2q7CqS8GIKCiU+Cjqy0Cw6vsZG6AEAQFPDZEDc1SSinxvSzqClVGiLA0WG+hUICuEonHKvXWXUXyYL1hGA27aVimEMJ2HSr8Cz6V2ukBLEFQVR7LIYTgzyBetEv2wHPqq1KBlpLgVchKHqwG5mUPrP06ivAoYeuFBAmJkHYsURuEkUBFDtruXQh44dRNCYBFnSE+nHNd02SZDtysTQgpl8vIUcDVbp5yPbfn16EmnbBc1WjCC1TlhpxAx34CrwQ2JQDz8Ft/zKetOkEALuGpE0JE+5k1IYRfR2YO4i1AKzutehEkg5GpgdB6URyE+IE5+PIl29b9eyQ556BDlWEEJymE9C+DYPDccRymt1IQ1O1RYxHq2plfB0hdiPDz3oXiclFBp5IT92/yUB0Sol2nJ4pTVf4Z3g7U/unI9ubbfpUk5IRV/FMJSbZX35UtpV+L+nXAOOdjY2PlchnOzGQyuWfPHpwIkoE7CR8ErwJDh5l9YE8D8yeKXcA65UTPJxMCsAqDS4Li01/U1dYqJyMK32r7NSyq+Lw+UPkna6v41MJRCBB0jnitnDH87q1xaRs2UDpXWlldcIBZ8vYUV/ldKM4ZyaUk6OUGB0ZUxQvxpY0qW1TTX1X2qFLINMDChaI4BZBY+DoYUy4CYUyXyepMyRzx/HstA8inCl61c6JyOoW2Vc8yUWQdViFNROozL8bYyMiI53mI2buuu3Tp0nQ6XSgUsLNSZaV+fneArQQW3nE31W2VtCcXFbCmwuQXwGS5C/IniY2BOQSet9Ay0GOglw5vhtwUcjFh0gx3ouJKoAeJtQEqJbTzYiRQ1FcC/QdINwAp+ae0KCSpBHaIhhKQArPtCGK1cWAb5AzVvQ+gEVHwgxBCaZtZok5DXUtggeqspEJCQ+preO8CcMCfOOxkoqacEJOTk8iC1TQtk8mgvib11Qd1uEDP8rs0BdWBwiANz63jTwEYBrpS16t2oiKGhFXHOeuBXtS9DOyripoqWqg8oNVSEOJbOAEikX2qUapA/4GVq0+EYinNpQN1SmoKj6hCMEBXHVFZFTLqRso2Ek1VjA9Odf5pkCAxUJWu1A2TE1aHFor61JFUAh/arr7L9mq3AeJXv0OewMeoa1o8Hh8eHj579iweep6XTCaXLl0Kvz/uh5F94hOYrXwuvY54rroNw1zyUz5U0WICYCEh7BXt6kOAZwWALztp86ioY4Q/XIlzU8XRHPiEF6BOQv1JRcHAKGonHVEh3KYj7AJjhalI3TN1FSqsA/uqLiRMA+pYRKGlwAzVrQqPGzZk8YEfNoxDop1fzLfZ4Q0KQy/cQPiFzNWcNMbYJ598giPoSMBFgXBCSCKRUAkjvBfqoIF5BmhJjh7mR4H26gLnW0IYSTp2+Cn96MG3Q7ALjgE1l1JKqPAHmmsf6iE8uY6IHlg2CW1bmI9y0pJjEr6ycSAg3WEVym7JcEpYmIQnHyByleTUaavEEOghMLoI6eUiFLgUPv9jjGmUceERIYgQVBCNMdS/YxoTUp63knEJICWCNVA6k27HOct5qpZ6LBarVqtnzpwhfmrC2rVrn3nmGUqpvGd8PhgGnks8Vv3IYTgH5kOURQU+4aFlDyKkLsnhAqMHGsuf9I4DqDukNghiM21TARVYzOsmDwwhFIEYAMocXNoVm+CIooPFFaCcjt2qTwJcirZbKR1hrT4MJ8uJdkEvnwR2Ua5L0olspippQtFbKKEy0ifPWQQQJYwT6sQCuxDgDoH5q8+R0YernYaHh69evYozNrhcFjfAII6s4m4AjKSdf4XtfpUBhbdD3SPZZ5jaVaRXoa2Oos6HdKr7EYaSrk4r8FGXGl4PIa2sTulBxpTldHFpi2Bt+BHovCMo8ZxzThgl7fZJeEqtBGQp1ogghLDWqQVCCIFLTXDBhSCUCB7cADUaqM5H9XqT9o0JfwJ4H0bZOWwPATZMlh3B0urEpxZJTmFng9ot9TdJbaCsqIMw7zg3FMShvnPsnXfeuXLlCu55tm0bJ7cQA5Bn8UkI5wJjfYq9p8KtI+LSdsEbwM8AVwoMof70KRtBQtvd0sTU0FiAdkW7FdjRrghRrfK9I7TaXw/AQsx9OpQY7Ng40FuYrjrqvvIV6W7u+GtHNFL/DAwaYG+fPmG1TZgGZAPGGCFM0zRGKO6pgy0B37E8nSZ8o0JOQIRWFOCP4e0jnbDcsiwc2dB1/cCBA7jeg1JqWVY+n7/vvvuEEKjpCkumIyMPQyYAivnYf2B6VDld0nFR8hPGVRIirY6vBMCCPzvE8sNMUV1JgK6EAN8iBCfOFL2I4zZLquokrfbEP60hRDBDrs2XQKjwuCCEakTQuflIpJR5KAE0lecoSBsLYIxJsscxPdSnA9ApY+gZSetERjxUrFWRrOPehElXDWWoqR/qhqkbg4Am0q7w3HNczjxNM5r1Bm5uArXg6gh5wDOACq3RCW2l9hHaul8aYKFE+DXIBCGcCCqw0jZuKHuTh+0qlcrFixfxE8qV7Nq1a8WKFTg3zxiDnAm8LgW4jNsIJd1BVSZFSInt+BHzJKSqI8qkio5c9VN6EH68K6Bf/P8Bbikvh16ZxQUAAAAASUVORK5CYII="
\angle D M N = 9 0 ^ { \circ }
"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"
\eta ^ { * }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4klEQVR4nNWTXXHDMBCEP3tCwBRMQRSOgrE4EBoIKYQEggXBhtBAqCBsH+yrJOfvrTPVk1a3ut3ZkxrxerVv6n9BQJJ0MVtRsFGzWQdAb4O0EiRdgG7ewAxwllQQJmB08AWEdfvrIQKhBLYzueSzGnjX3FRSyIX2vimkJYOSUFkIO8JSEio/2UL/yILnMO0DNiccsuqHSyzHQm7rYMC3XxqBaSdRpWCFhS2HOoVYADLhYQpOeDoIF+PJINxDdacchEu8sEAL3D6LCNOJajU63mICuqEbQozpmgCG3p9x8x++3g/L0OybrEqjjwAAAABJRU5ErkJggg=="
\mathcal { H }
"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"
\hat { H } = \sum _ { p q } h _ { q } ^ { p } \hat { p } ^ { \dag } \hat { q } + \frac { 1 } { 4 } \sum _ { p q r s } v _ { r s } ^ { p q } \hat { p } ^ { \dag } \hat { q } ^ { \dag } \hat { s } \hat { r } ,
"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"
\begin{array} { r } { \begin{array} { r l } & { \epsilon \frac { \partial ( f _ { i } ^ { \sigma , s e q } + \epsilon f _ { i } ^ { \sigma , ( 1 ) } + \epsilon ^ { 2 } f _ { i } ^ { \sigma , ( 2 ) } + \cdots ) } { \partial t _ { 1 } } } \\ & { + \epsilon ^ { 2 } \frac { \partial ( f _ { i } ^ { \sigma , s e q } + \epsilon f _ { i } ^ { \sigma , ( 1 ) } + \epsilon ^ { 2 } f _ { i } ^ { \sigma , ( 2 ) } + \cdots ) } { \partial t _ { 2 } } } \\ & { + \epsilon v _ { i \alpha } \cdot \frac { \partial ( f _ { i } ^ { \sigma , s e q } + \epsilon f _ { i } ^ { \sigma , ( 1 ) } + \epsilon ^ { 2 } f _ { i } ^ { \sigma , ( 2 ) } + \cdots ) } { \partial r _ { \alpha } } } \\ & { = - \frac { 1 } { \tau ^ { \sigma } } [ ( f _ { i } ^ { \sigma , s e q } + \epsilon f _ { i } ^ { \sigma , ( 1 ) } + \epsilon ^ { 2 } f _ { i } ^ { \sigma , ( 2 ) } + \cdots ) - f _ { i } ^ { \sigma , s e q } ] - \epsilon S _ { 1 i } ^ { \sigma } . } \end{array} } \end{array}
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\tilde { k } _ { \mathrm { m a x } } = \tilde { k } ( \varphi = 0 )
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0 . 0 4 7
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N _ { 1 } \approx N _ { 3 } \approx 5 \times 1 0 ^ { 5 }
"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"
\frac { d } { d t } \rho ( x ) = ( \mathcal { L } _ { 0 } \rho ) ( x ) + \sum _ { i = 1 } ^ { n _ { c } } u _ { i } ( \mathcal { B } _ { i } \rho ) ( x )
"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"
\begin{array} { l l } { z _ { 1 } = \cot \omega \cos \frac { \theta } { 2 } e ^ { i \frac { \psi + \phi } { 2 } } } \\ { z _ { 2 } = \cot \omega \sin \frac { \theta } { 2 } e ^ { i \frac { \psi - \phi } { 2 } } } \end{array}
"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"
~ T i m e S t e p = 1 / 4
"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"
k = 0
"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"
\eta r _ { 2 } ( x ^ { ( 1 ) } ) = r _ { 1 } ( x ^ { ( 1 ) } )
"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"
x _ { \beta } ( t ) = a _ { \beta 0 } \cos ( \psi _ { \beta } + \Phi _ { \beta 0 } )
"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"
\chi = \chi _ { 0 } + \chi _ { 0 } v \chi
"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"
5 \times 1 0 ^ { 1 9 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAfElEQVR4nGP8z4AfMBGQH1WARUHy0a6NGApYEMyNDNbCIvhMsH4zlwFTAcN/OLC6/h8LQDLhrQYDAwPDm40MDEexm8DQOefI//9Hkub890MyAUnB/w0QO0qvb8ChAArmHMHhBig4+tYahy9gBuD0BQS8OYbKZxxNtPRSAADhU6aUyceUyQAAAABJRU5ErkJggg=="
\varepsilon _ { \gamma }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAUklEQVR4nGP8z4AfMBGQH1VAGwWTGM2Fzc3NURSwIHPe/WeIWYJuxH8UcCv3PxpAc8NSMwxHoKpXuYVuAiNKgnkrgpF+UK1Y6oFhA+Nokhs6CgAxn0l5MJp8cQAAAABJRU5ErkJggg=="
\tau
"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"
g _ { m , k } ( t ) = \int _ { - \infin } ^ { + \infin } d v \frac { H _ { m } ( v ) } { \sqrt { 2 ^ { m } m ! } } g _ { k } ( v , t ) .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAbElEQVR4nGP8z4AfMBGQH1VArAIWdIFkBoa5+E2wQpHHVPDGGk3gPwp4XcpQ+hpFBFXBa78j6huSUIRQrejye2PtfwOPG95aH7Xq8sfjTb8ABmENVF+gO1L4OqoAmiP//1dH4/9nHE209FIAAEnthVQ7/oSzAAAAAElFTkSuQmCC"
\bar { \phi }
"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"
W _ { k }
"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"
3 2
"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"
S _ { N } = \hat { s } - \mu _ { \hat { s } } / \sigma _ { \hat { s } } ,
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAwklEQVR4nO2UwQ3DIAxFTdUF6AiswAp0BDICGYGMkBXoCozgjBBGaEYgI7iHgGQOOSWHHvDp8/X9ZIyEILhWj4v9HdAB/wiYxDYOZ8ltGhcA+ExL6xMvGcLaGN5VtTr0MmSPXxd4ogGgwhrHUtrlw5mJaJU+E5HlPU8+TVKmqJiK2KM9vB0AtIseADTvaQCbrWquyAFrPFpIOr1R7uc7UO0CiIitxBsbKBtp6qWOEvxHeuWzJ2BTqvYs+pfWAR1wD+AH337EDMAwzVEAAAAASUVORK5CYII="
r \rarr \infin
"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"
\{ \chi , \xi \}
"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"
\langle 1 1 1 \rangle
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAfUlEQVR4nGP8z4AfMBGQH1VAAwXvZ1XcO/uegYGBwRWrgnuuDB17XAUxTGCBMdJd0hiUlBgY9jAwvN/DwOCCoWDPTAaGPcaYChj+QwHDu//vBDv+/////7/LfyQAN6E8XUlQ0BiLN5AUv4NyypFNQFbQIfgfEzCOpslBowAAGk1tgAqyYFEAAAAASUVORK5CYII="
^ { q + }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvUlEQVR4nIXTSxHDIBSF4Z9ODVAJsRALREK1VEsqIRoiIViIhCKBLtrFfRBgB/nm5MyduaHSPzd1ey+PEEKQT3cFUikZZvVW9dmAl3zQv4AITNcdIAOpB06IowQVYEHJpoIFroIF+wi4MTVA6oFcbEcLXAUP4ijBBGjgx2RAo4IGfkw+wYzJAxugQGNMBjQqWDB1E3Z42u8KnP+gLIFeHIC88JF3sSNAqmtklYsjwa9g3OoVOCKQDr2LYbT+X4gwjU06jpB1AAAAAElFTkSuQmCC"
l
"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"
x \mapsto - x
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAzElEQVR4nO2SXQ3CMBSFPwgGroVamIUiYRaKhCIBLEzCkLBJ4ErYJKwSykPTdoMEeCacp/vz5dyTprvIe+0/7H8EOJRKb8alIgAgTZrHLIvNBUDuisN1LF6XBkDYOEzii8MQV8ohT86+Ddlpr3UYlCZfSCcW6eNQTjTGWtySugS0bVwBPsZ4F7NUoJdlBSR5fA158sKzLFpDhnGEgB5pXQaEuQIDgKrxGJhHBxAwT0+dMwzmNcNW8xnQTvzGoXaTE2Mt7ZQWu/+3/w54AJQyykoTVABLAAAAAElFTkSuQmCC"
4 5
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABsElEQVR4nO2X7XHCMAyGH3os4BW8gjtCVsgKXsGMEEYII5ARwghkhGQEMoL7A9z4i2CO67XXQ7+EbD+xXgkRNpbX7OPF82/AG/BfAFv/w7ADkMKLAJhqjWA96/Nberti4Q1QWgKwG9D1NbafVy8QAGaO0nmo67nqNK2dD0Wc5e08EzhXSNYsAEzusifA+bNaBQQpKLfXu8ASvGNZaQ1Ua9J7lm+kAR4899vyAD+FnwZkNejvxIs1mMolyKfwTAZZwPAq4JkUtrlgJoXpMIDSkqFrwpWyIhhh+r5vZH1RUYvmAC2oMKLF2Tlxj+c0SDI4HJqbJm0yXHKApAgntHObePOdG4RFOC2urMsAcREOCyHeXVIEjRPR2vH4sAptMk3OgD5eMgXLAnQ6jloAlG5TSAIYjwJkH+104x4dIyKAWcQxURqmEgAqIhQPDmutPbcV1C8ArLUaxucB/kMlTbBW9H7QeT+PmvlhJ6bm93K0VAboFncg+jaUaMCS90UUDJQUIFR91X5UIuqD7ExMzOj9p6xg6qpRhEubkn8sewN0A4gqmdZFgDX7/RfNN+AN+BuAL660gAgneY9QAAAAAElFTkSuQmCC"
T _ { \mathrm { { S } } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAXUlEQVR4nGP8z4AfMBGQH1VAOwUNt9EE/qOCWwxvUAWQFZwQUlkcPfH//3pcCoRu3VJh+P//hAouBbn//5uZqeQKncCl4P//bWb/b21DdQSqAo9t/9EB42iSGzoKAHOesj1c9AKVAAAAAElFTkSuQmCC"
\nsim
"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"
\begin{array} { r l } & { \left | \frac { 1 } { | U _ { l } | } \sum _ { u \in U _ { l } } f _ { u } ( \mathbf { x } ) - \bar { \mu } _ { l } ( \mathbf { x } ) \right | } \\ { \leq } & { \left | \frac { 1 } { | U _ { l } | } \sum _ { u \in U _ { l } } f _ { u } ( \mathbf { x } ) - \frac { 1 } { | U _ { l } | } \sum _ { u \in U _ { l } } m _ { u } ( \mathbf { x } ) \right | + \left | f ( \mathbf { x } ) - \mathbf { k } ( \mathbf { x } , \mathbf { X } _ { T _ { l } } ) ^ { \top } ( \mathbf { K } _ { \mathbf { X } _ { T _ { l } } \mathbf { X } _ { T _ { l } } } + \lambda \mathbf { I } ) ^ { - 1 } f ( \mathbf { X } _ { T _ { l } } ) \right | } \\ { \overset { ( a ) } { \leq } } & { \left | \frac { 1 } { | U _ { l } | } \sum _ { u \in U _ { l } } f _ { u } ( \mathbf { x } ) - \frac { 1 } { | U _ { l } | } \sum _ { u \in U _ { l } } m _ { u } ( \mathbf { x } ) \right | + B \sigma _ { T _ { l } } ( \mathbf { x } ) , } \end{array}
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[ \frac { 2 } { 3 } x ^ { \frac { 3 } { 2 } } ] _ { 0 } ^ { 1 }
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\theta _ { 1 } = \theta _ { 2 } = \theta = l _ { 1 } x + l _ { 2 } y - \omega _ { 1 } z
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABACAAAAAD3vSCjAAADi0lEQVR4nO2Y0Z2rKhCHv72/2wCnBFqgBU4JtkALnBJMCaaEWIKWoCVoCVgC90FFNJiYvdnkPOT/tEGX+RiGmcEvz3v1z5vtfwA+AB+AvxZgeC/A+evXn1cBfKVS8e8aXpWikx4QIF5kn39Tg5bBvAoguQWv1NuP4dUWtGU7tKClyn4iDoYW9GrEx3JWgtZ6fMU4/2QVCoCsWYZWAIXAXMY/GytANP6ZcoqscpUVUKQAXIaslp+dejKBU+Tee+8bIExM/FytfO4kyCcC2DCbBX0NoBDd+j8qmJi/IbcNoG5xvANmXwcAC5ftJPrbLnBWbAEshAVqsBuAKvJKUBFv1gPqjIAtgEDEMGoDoBanLGqI4/W4+dQZbuIVXpbzTxhJOZvFVUdVaQDTbccLyJaXliCYMmEJ2TMSXXmuQRh7nUR7kOGHWsZHgKHcJshRun6oNzqfepBZwjy08Y/ohRGgJg3QP9AYDOdzD9IeLeS1jgDalVdWAEfNn84D6OzhPiIA7K00CbZVfyoH0DblxUMApAHaYwD96QwYK+++GUvFAG0coisAOY8P7c7y6lMNInvQfFjxdArS77TT4Wz7ti/NDsCpTp+7gxpbMpWOtxIMQNv25a29UPKQ/bWJeT7vvfc6VQn8BcySuvaKQiEBeTdj25UJNqnYEFWKIL3Urzz1fI1gbzdweZzso9I3AiTLXhUVAhMl8oQuGhA3ESqi/rPaluOO66rjZCiZ3qt7ncleDVpEVG/tst6JynDVD5m4Q0sV642mKrzbP2TRGvWyHRNAB5uOcGW/Au99oW9X584IQO+gRhU/6s5CQ1IAavFBo8ginhztOy2NuBWL3ntnBaDTR0KFDtNEmxsCowCEuTjvfVNoxGoSg23kxftic5FJIOS7p7Kb7wM5Mtrc5XnUkajNBIpcOz9vxR3tnkqnQRoj0dGz+HZc/xmQCCn1Nq9/oSoB1L8PfbgozzV0ieLQli2obJVUA0ojAWSeOMzVHDRFKmGmVOkDrvLeR1vQCF0UVgImCuMx6PM5fu3xHrW7kRKSANmY6sYNnN3QjIbNbFdycNrjCgAh0xQSEGNCycZipKaHzdEd+BbAMlYIAGWtngwT8uXTHRDdDaNBN/cXowOqKf1037+qHgBYyxUa1AQ11WKnTPrlnwBYKQfr/EX9wPqPAbi7pfZ/6Nh3wr5PXpyeoc+Hyg/AB+AD8HaA/wBH1xPfZOYu0AAAAABJRU5ErkJggg=="
\dot { Q } _ { b } < 0
"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"
\Re e ( L _ { \kappa , \rho } ( H ) ) = \frac { 1 } { 2 } ( L _ { \kappa , \rho } ( H ) + L _ { \kappa , \rho } ( H ) ^ { * } )
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"
C a C O _ { 3 } + 2 H C l = C a C l _ { 2 } + H _ { 3 }
"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"
X _ { k , l } = \sum _ { n = 0 } ^ { N - 1 } \sum _ { m = 0 } ^ { M - 1 } x _ { n , m } \cos \left ( { \frac { ( 2 m + 1 ) ( 2 k + 1 ) \pi } { 4 N } } \right ) \cos \left ( { \frac { ( 2 n + 1 ) ( 2 l + 1 ) \pi } { 4 M } } \right ) { \mathrm { . ~ w h e r e ~ } } k = 0 , 1 , 2 . . . , N - 1 { \mathrm { ~ a n d ~ } } l = 0 , 1 , 2 . . . , M - 1
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\mathbf R _ { p } ^ { s } = ( \mathbf r _ { 1 ~ p } ^ { s } , \dots , \mathbf r _ { N ^ { s } ~ p } ^ { s } )
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\binom { N - 1 } { k - 1 } \cdot { \left ( k - 1 \right ) } !
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v _ { t }
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"
\begin{array} { r } { F ^ { ( o ) } ( \{ \beta _ { i } \} ) = \left ( \begin{array} { c c c c c c } { f _ { 1 } ( \beta _ { 1 } ) } & { \cdots } & { f _ { 1 } ( \beta _ { 2 M } ) } \\ { \vdots } & { \vdots } & { \vdots } \\ { f _ { M } ( \beta _ { 1 } ) } & { \cdots } & { f _ { M } ( \beta _ { 2 M } ) } \\ { \beta _ { 1 } ^ { L } g _ { 1 } ( \beta _ { 1 } ) } & { \cdots } & { \beta _ { 2 M } ^ { L } g _ { 1 } ( \beta _ { 2 M } ) } \\ { \vdots } & { \vdots } & { \vdots } \\ { \beta _ { 1 } ^ { L } g _ { M } ( \beta _ { 1 } ) } & { \cdots } & { \beta _ { 2 M } ^ { L } g _ { M } ( \beta _ { 2 M } ) } \end{array} \right ) , } \end{array}
"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"
T \sim \dot { m } \Delta V
"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"
{ \frac { x _ { i } - x _ { i } } { x _ { j } - x _ { i } } } = 0
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R _ { 0 } = \frac { \Phi } { \Gamma } \rho ( \mathbf { \tilde { G } } )
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( \Phi _ { 0 } , \Psi _ { 0 } ) \in \mathrm { { T H } ( \mathrm { d i v } , \partial \Omega ) \times \mathrm { { T H } ( \mathrm { d i v } , \partial \Omega ) } }
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_ 3
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"
G ( p = 0 , i \nu _ { m } ) = i T \sum _ { n = - \infin } ^ { + \infin } \int \frac { d ^ { 2 } k } { ( 2 \pi ) ^ { 2 } } k ^ { 2 } \mathrm { t r } \left ( \gamma ^ { 0 } S ( i \omega _ { n } , k ) \gamma ^ { 0 } S ( i \omega _ { n } + i \nu _ { m } , k ) \right ) ,
"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"
\begin{array} { r l } { T _ { 0 } } & { = \theta _ { 0 } \left ( \frac { p _ { 0 } } { p _ { 0 0 } } \right ) ^ { R _ { d } / c _ { p d } } , } \\ { p _ { 0 } } & { = p _ { 0 0 } \left ( 1 - \frac { g z } { c _ { p d } \theta _ { 0 } } \right ) ^ { c _ { p d } / R _ { d } } , } \\ { \rho _ { 0 } } & { = \frac { p _ { 0 } } { R _ { d } T _ { 0 } } . } \end{array}
"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"
J \in k e r \Bigl ( \ast d _ { 1 } + ( \ast d _ { 1 } ) ^ { 2 } \Bigr ) ^ { \perp }
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"
. \angle F G E = 1 8 0 ^ { \circ } - 1 9 0 ^ { \circ } - 1 . 5 x ) - ( 9 0 ^ { \circ } + x ) = 0 .
"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"
8 1 ~ 3 2 6
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAWElEQVR4nGP8z4AfMBGQH1WAQ8E9RkImlKPxGUmMiwrXWegq/qMChpnoAqjc3Qx30RSgWXFPUAm/G866EHDkWWMMb6A5aTe6I9FMMA67h2YAqQE1qoBsBQCoZWWY/7W4BAAAAABJRU5ErkJggg=="
i
"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"
\sim 0 . 0 2 - 2
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiElEQVR4nNWTyxGAIAxEFzugSWugFVrQVuhpPfiBJIx7c0YukOzjkw+JeB+L0L8Dyh6VvZwzSRJodKMin9JttaC3AQhEtxE8zsLEZ9aY7DKndeDx29sG4FLce0eAFbn5eAzAiuwzYgGuQOULoE5Qb1BRqDyoTKpaqGqqfph21DYAQe89mf7w9Q4sGTwbB6VuhgAAAABJRU5ErkJggg=="
\times
"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"
P o i s ( \lambda , k _ { m i n } , k _ { m a x } ) = \left \{ \begin{array} { l l } { c \frac { \lambda ^ { k } e ^ { - \lambda } } { k ! } } & { \mathrm { ~ i ~ f ~ } k _ { m i n } \leq k \leq k _ { m a x } } \\ { 0 } & { \mathrm { ~ o ~ t ~ h ~ e ~ r ~ w ~ i ~ s ~ e ~ , ~ } } \end{array} \right .
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAABH0lEQVR4nO2WwXGDMBBFl0wacAtqQS04JdglkBKWEuwSSAmhBFGCKAGXoJTwc7BiL9YKSDwTLvon4LHLQ7MjqEDb5mXj5xeBIlAEisCSQP/2TPM11ZuvwKs4/uiIyJ4yd87TP2O5AsPBHb441yKhVUyzongG4x4Pv/Pi/OcWVulDEryyWgrAGw9g/LxfcfsHOjKPGYNrseRJ9aR3KhBsCwQ2rAoE2wLOjiejvmKwLaY8rZ72TgSCbeFqBFYFIgWcgZIbljypjr2lhRjC86U7vhva6VMUKVGnjtIN63za+3zRhzCGk2WSqds5usSZAXgxGvjtRtTYun+GExF1cjuokp/Spqd9dj8ZjoaGkO+9wJXeqcA/Z/NvQREoAkWgCHwDfE9pLVcii3wAAAAASUVORK5CYII="
z _ { 1 } + z _ { 2 } = z _ { 2 } + z _ { 1 } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAYElEQVR4nGP8z4AfMBGQH1VAGwWqwm8ZGCYJo6r4jwxUtv3/L7QYRQjVCs/tDJNUYlCEWFB4Qu/e5t9CtYERJT1sbzBnmITmShQL3wgJvfmPChjQuIvR5P8zjia5oaMAAIcWZiH8mylSAAAAAElFTkSuQmCC"
v
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA2klEQVR4nJ2T0XECMQxE32VoQCmBFtyCW6AFWnAtoQQo4a6EXAuUYJew+QiQs3QcE/Rn7Zv1yiOjlfpKAEdJElGumVHV4BmQKJLOT4ECoyTVKkkahKvPxrL34fWpkdgEYL887zp1bsxgE/bn0gXM9+7x0QohB6i2keEKttQDMNMP8X/g6qZ87eCnGKDvOIfJG3gg3OCBBrYJzJD7jgvpH9o7hIf2QMz4BnBwQL8wsPdL3jlcVgyQpGTltnEpfBN+nSmSRux7HUjA4VwsRf22tKepQco5BIj7EOoHsZYREta6okYAAAAASUVORK5CYII="
f
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4klEQVR4nM2TTXEDMQxGXzohIAqiYAouBFNYCg6EFkIKoaGwENYQthAaCOph7VjbOs01uliWn34+zfhg/G8vD96fAjg6/1QACGiSHrVui0KIMQpyvgU9YBkWM/sO2/kXmGrBBdIQCMQaRVtsp6IQmqsjmTMVKHRyCFwgjWSm2nmBPJQpJDNbs/BmI2AFEEXz6rKOuxHOyseXZLdoP0PeLsrkd+NUFCJA5HJ1BRwwbyID13kItC0EKPeAWAHfog8Zmh9327tVKAXZMhVOvcahfZxXgDQB8zvwKb+Be/YMH+ch8AOMvQXdLXIE9AAAAABJRU5ErkJggg=="
R
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\begin{array} { r l } { \vec { F } ^ { s , p } } & { = \int _ { \nu _ { \mathrm { m i n } } } ^ { \nu _ { \mathrm { m a x } } } \left ( \int _ { \Lambda L _ { y } } \left ( ( \overline { \overline { T } } _ { \nu , i j } ^ { s , p } \cdot d \vec { S } ) _ { z = - z _ { 0 } } + ( \overline { \overline { T } } _ { \nu , i j } ^ { s , p } \cdot d \vec { S } ) _ { z = + z _ { 0 } } \right ) \right ) d \nu } \\ & { = L _ { y } \int _ { 0 } ^ { \Lambda } \big ( ( - T _ { x x } - T _ { z z } ) _ { z = - z _ { 0 } } + ( T _ { x x } + T _ { z z } ) _ { z = + z _ { 0 } } \big ) d x } \end{array}