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string
"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"
p D V
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABF0lEQVR4nO2UW3GEMBSGv+3UQCzEQiykEqgELGABCyChkUAkgAQigUhIH7awkwOFdPahL3ueMufyzbn8k1viOXt7sv4FAN53nskFdGWk23uj7nFjs0DKbTSgNdhRBL62iibzC8CoaJaUllYpQRh+CmdzBlg03Uoyx4A0zieA9tFfs6IkQFh+BUe9TYovukIOmKxen8q4IoA4o6EPAOhaFdXvdeDundsavN2lFwDaCIACSuolwLNJcNIy99DyJVbTtnoXixoQUh5Y5bNoZhEq0YGtp88IED9CUzaC2EFH72sdg4tNC0Dvhr+MkFLqNIAdNkWv/l9GuO1/5RAwDxUdJJx3IBuqLhKuvrSpu0i47PDK/v9XfgHgGz4KtIr8VSdmAAAAAElFTkSuQmCC"
\Theta , \Gamma
"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"
R _ { 1 } = \frac { U } { I } = \frac { 2 2 0 V } { 5 . 5 A } = 4 0 \Omega
"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"
8
"iVBORw0KGgoAAAANSUhEUgAABEAAAABgCAAAAAA4d1i2AAAWBUlEQVR4nO2d6Z2kLhPHf/t8/gmwIbAhsCHQITghOCHQIdghaAhtCBqChqAhaAg8L7wAwauP2e7m+2rGg6KrsIDi+iXh8Xg8x/jfT2fA4/G8Lt6BeDyew3gH4vF4DuMdiMfjOYx3IB6P5zDegXg8nsN4B+LxeA7jHYjH4zmMdyAej+cw3oF4PJ7DeAfi8XgO4x2Ix+M5jHcgHo/nMN6BeDyew/z30xn4B6iThZs0fFo+PJ6X45ffDwT5aeEmqcjTMuLxvBqv5UDa6WMua0b3veF+5jeAQE+treu6+yv2TZBPJgfAfzoT/zAv1YVJL9f+M0/OLSKx/kb7Fax//yRMABLNrud50gKpdyAfSp2Wedv9yVnAfjYz/yqv1AK5pNnUnjhfguuGd9ovGq8+lJ8ANLa2SnJuUW1p6XjejfySa/9T4WsSCy/kQJKzGo5of9Nqy1vtn3DetjD5U8PRoGm/U7H+vufdKM85AMooLojaNq8B0Nj3ZWa8zjBufQ7VNgLhdbvlNRJe6tWHQgD2oRhy9fXOB5KccpCwqK4RB1gUV5UgqE/nn87Xv8frtEC+k4Lp/18D23NlCgCUpry7Xf8JVzsx7W8AxS293DIFSOgHbN6D8wUIIwIA+QkZB4D2cgHWi9KnMQRR877Dd7y5npaOdy/kLpV4Cv0DJygtDqQ85wFF0oIG/V1Kk1WrkyAF1h9zUn/nhNX1JXtCpO3SN7wEQdK3rW7rY91uerftb+dOpWcXyQUkNgsXiYJTm+DZHmSm2jJta0YCV2DuPvoaykRIlf/sNpYdXfeOcXmQJmCF41bFeXM02YkCRt6u5gUppSwIyaSUBdh0jSNbTf0KgBzOZUEQSSkFgqMpOMggpJSMqNcEA4BQSCkFBQAa3ybkVtMv2f527lN6dpEBpFD+GYtPxYDoqVmZqTaiCK9ZJmjo0MoBfVlKWRYCABOVlFLKaziUuDkY/4qBcKfkiYaxhWyH9PYClpn+ggPzp2hvYI5YeXCD0SmAwx8i616dZfFmImRSSiPZBmMxzgByo/uQ8kbTr9j+du5RevbQEGCSqDoQWRCQ6plZMVSbUfBefuT0E7v1ZS1lIdQLIezuQ8ppHggFDnfh21O9NGEz+vtVWG/npRII3dcKTnPSlmaPIalpN5bCcjVyuiHaGlyA5GDj71J2k01y3LsH04IA9azvBtKPGKUI4jvEXW4x/Zrtb8ddenL+iGGRS4vIYUgWf7Xf2QNk2jFVezlDREjSlgShoGdHb8qpL6cYRykL1P+ck66klDITAacAQDgX1wPViVipvWNb474RZJYTN0b13lAazVsWweAoA8Vjcqf3VKgAtd7ZBUUlpZTFDZ0gBxxyaGFOVEPd0LDbG9Q3m37V9rdjLT1SSrHFsLtpiNr/1VsgUgaHS8kBDNWGQCwbFlayEqGUznafS18urKWMaz+UU9fLkPJKAcLDEOCCM4DsNksFOH5M1l+n8zhEQQEaiAnb+2pTUnMgAlk119PYc6FaF2bLDwpwtB1/7d67ElwPvb8AZXJoYU5k6H5QQW5u299u+gXb3w9L6ZHyUQ4kgmZHw4FUN/X29mGoNgKEbFhXsKNICmdoz6Ev5+O2Uka1Gp06XRJkDNCrHMtlFexXUah+ys1VBH0M6kqGG+EsPNCQ1e77NQBAY1khNB1IgUBKSsw3eG/7TG0M8E0fdoyjYdQQVykrDnJf/1FlWQaWZVmIKFONK7poTYzg1i/3DqbXbS+lbOKQc865vUI4xrz0SCkf5UAYtNrWcCCSY1bqHoWu2gxgUo5qpVI4m58OfdlwlbJGC4E0bk2jGr6boWKTwe5wIlHTLxj6lGJgUEEMGMGncC0c1YRAmGUxDzkiKRvVrg0jldrCa6KoT1R0t9UM8W2NToKDYVRCZBPi7vF5rdOpFogAyJbCWpu5h+l128tGEBDOOYfWD7iReemRUj7IgTTQUzUdSIx91fsN6KqlIJWUdKg0eOFugTj0ZcNVyjJNDZm7DoYYnsyUP/b1oSw6plLKGEyIZnxEL5nNqh3YMJbWfTCSje05ga6VmYEIwavuSiSllBUhhZQV0ypSOPtvGsL4TrdSjIHM+44WZEKECIQQoEKoymOArBhu/3ruYHrD9s04znnXj3tWeuT9ZQxcjYJpFu7qDorfhi65M1Y2Fmyeub8fh76sjzpKWaRViMLtkBAM2Zx8Dna20iLTGXCgkIWaA9Ovy3jtsxZjV1R0XcF49IIctJMXDr3265B8wcA5mOovrxsNXgHbHbdCBAZ27ToAd66bhG18TQIsIwE5lFmNO5het33Dxsgbu2dodVZ6Oh7iQIQR0zEdiCTPCoLonxUFlVJm4y9mCw1eh74cWEtZqAkP3SMc/7MOca6Oe9a5slRx9nQApO1XrDSPCKCvSKlhnYc+3b+gn4qOEpQACNmwWuWaVd3wXVwVTQQAgeyGEsCKSoimUNPO6YZl/wAoB8iB8cgaZVgEAL1yfKs3ynR9EY5Bbl6gQGmMr+VAfRLXELq0A+JWTK/ZeFMal3IYAG1LbRONA6pQdTErPQ+kXSsE7LF5ac/pmBOFtIYAQMabsykMCov6mgSMWEpZre2CUrqHy/+js4LUAv082TxHWVoWs6bnmrV1KFzTacNzm4Ibsyp0KSVKc2WSJifBOPJc99m5/k07x0DGnzNm4DzuPEiNTOXqHgCLBDmCAw6kBI2GBOrJrFt3LFH5W+prLUrQ6ecP1AAyDpG0eTo5yiPilkzvsrGrSABAm4COE1TI9OKRvJm6UDM6zOCfytAd54PUgLZBXQuctVJR3k1Un56+M9ZXTmxVawkSAmD8u1uik2B5kwl3E2AmwFrKcu3/csF64yzEsR07zUsUIrA1hgRYJWVGhvm+YtZ2FwDVhwjM+ILF4tp9Oralp/ZYwV3N4sbZd8i2z7KOjw3xT51Fo7W7e2Z7oSq74JwTwjmnYJwrGRu0HRs63j+RftH0ho1HKUaRUG1/nbreXM/M/rxpujBKz7zs3LErs8UV3U+ajIkefc+mgTDtsxrnIkTdNboYAViI5mXaSJurlBVaMKxYGCD4L0zKhKmNhfI8Vv4R8GuuvvRCMgLw6+nkmoKYAmytMueL0zaniXEphj/Z9VLb/S5xmb3Nt7Y/gBT0wEzScpqx1+oTOsVlZ2XFYuittpainyeoC6QAECZlfVGaAhZxp+Xt2BZM77SxvUiMOevtkOsV2H5VzHWhMGwOVuZDGbrrhFSilYK2NIpy2d5TWhieNd1cbFvjARg/gs4+5/ro6sW5AFspK6Ea0OzfaMiCATzOumqoyYQ+P8Pi3elwaRgsnbVARMDNEJ/pE1cCYEoF9Ky5f9WxgdjrVCEJo27iN06x6iYHcqPCI0PbLIM+Ej4Xt1Yzu00/s7GaqqsFMq1O4vOw+k2qsNeoDwmihkYYeRZE5Xde8aTNTygUadpnFWoKLMjylCV3C6SY9RaspUxoRl6Iocr/wLIk7cNllwsA4o5tAADSMf7Jy8TqB8ukyHNo91rMptovRuimHNSp+eqDSOCu8xaYqo82MRKgyDftWNJR12WtVw5dK8wIYNXtoA7O8/asbOvoEucW7DT9uo3tTA0Qo1HgzNsmXcxKzwMhayMI9Q3rhqwCeT7t/J1A2Ns3TJXafrfX6d86KVvCRXkeV/As6GsuwFrKdMZY21wU/gOIEG2JvE3AGaVmEHJGOXUp+lgwv+gPnAQNz22iLnXRm0QAgnOZL+SZkLa34/ezNsVOcGg/oBLo+1Xn1lhxtHXHkv56khvv1yBA2+qKm9SP+A9SRYl2cYuCXaaf29iFanvax/7bL9Ia7zjytlEXs9LzQCiwVDDRmuHGO0gcnWub8Mltap9V8D2ZoT2V4aSuy5lEFPmpLVXzTXnUXLQmoMNayjTObWgV1ZaMKI3uzBqLml/k4xzDoXWnDDtXQnTzaIU+K/o6m7XAsbgIPOwjhKF40uIDcwLRVugQbhKz2TubdyzpgTHfL7AtclIbl6EWR52L015dEDwz/dzGWjaVh9UpB/0EyIqFAYSUsaIOqyo262JeeqSUD+rCmBPFHj8TVfkZkfpN6LM5xBjU1OdZi/47uio9IUVfBUcgBAGomAnosJYydUuUcW2eIaohYM24H0iVcYDNZ7fZHMhQFpQZ0MOvC4BOSkMALthQhsSsjFQEbMESDUFQNFcWZk/awyXYOGHVoAEAHmcRnc/+27xjyZiU/plwItX5c1JKKTMCDDtBNAEANr4zF2dMhXYItpjeYmMlVe3KZHvZULBrJkjYhOCFUAdwrKrYrIt56ekvP2JOKF1eCxPcffGg4lxjLdoXaGNXw4Y+V0KVEpENEUJ1oGvSl+mi43k40VbKpBQAiSopm2swrLkyRWUAstGBDA1GM/kVBzKuXRt+5Vi8C9Kv1JJS6qtjx98GMBFlI8ZtDoBGz1p7cHSGcgYUXYs3MG1zBZmHf8cZuPPSn5mzQPumXKY+0hFK2TlrYMy3Kq7q1jeDCyH6GcpuwRbTW2ysZEtLQM11wQCQqDe+8tutqtiuC0vpsb92D4whgflq3HtvO2d3rnJWIASLsixiVKgOLBja5+oGFpO+3C56ZF7KpJRSXoceUzC8aYqqCEgj18a059/VFKaeWv3BkL8mUxbgO9fid1RGV3N2PyvkfGrxgxAHZ4ZHIN2Sxlkmd+xYMmThlvC+Jk7f84avCJ5js/GIUSQCtWwWfT2glgOXKjbrwrXT22McSKUPYRgOJLx7fWZ3rlJKQ7VSNlchIuPR0b+TKV+TvhZc9DqVUa3PRFVZIw84kHj8osU02YvSxa+c2VfeVpHgE/ZX+bGuxV7owYrFvXJ6x44lHVu+bDc2cfqaZKfgOTYbT6nq+VyzvSNvy1nSdOEoPTJ2Tiy8iVBrdOkOpDi24HIBh3Md7q2oNhvqvUypZyd97ao1VrCKOuJAGjKYW1n0WpClSGdozmfcAbn7RqM2LC31bTh3K9qzY0kHvWVDIqs43YE4Bc+x2nhM1fjJy7Z35W05S6oubik9R2iIsqey7kAa+ogFkzbn2rGq2mxouCv1rKKvXbXGCjZRco8DGfbckFEfkdHsXjHn9jbNLbviPmn1tDl9aDOuhdPbdywZ9XpL2TTF9Slqk4EsW6U4MWw85rHLp5HCgu2teduli5tKzzG0RQKqA2nusYmCjsu59qyoVsq++xPRoZ7V9LWr1lhjJkpKuepACm1qfm/dEGEzXyfh3IJKiOOZb4Jp0OGB7Fv/rFDYp8nu2bFk1CsQyfjQiNNcXIf6o6xbpbjRbSyUobDCMq6+sP2YJW+7dHFL6TlKqAxiKg6kYvfvwFgdv8rKzm4CQSMbEY4tYU1f+2qNFWaipJQrDoT3J4YUUip7bkgZU3CG8PEb3Pdh1oeP40ZLIdR44ZOL7RH0PTuWjHfEoT1J7eI69Hkg861SltBsPNleKxIH8/ZQXdyFcBrcmhxITLA8d2k3Lse/Lw3CaCTtG/LurDWOiNqzslCJWRWWYYcXhi3ULNmS9iv7vlDT6uBq6o8O2qtM3Q13qqNdGJs4KWdrYWaCl9FsfDheac3bA3VxHwQAGjVydCBNTAG4TnM6iMvx7yMrpKwcNeDOWuOAqB1n457bdz0YtPyL2LUOJv1ubzo0d8CtvcfpNV9dl7CV++bxJ3Sxk/y7BsAZq8+IWF6nAEh051M223EFSm3O/d9J+kUa+526Xl8Yf5Oozd7HvefGy+MOoTbiTt1et/ZeQa/3zeNr6MJcUkp+IBizmdvmEN0iakcL5G1p/7TWU9frMk9buBsnnvcmzcfzDSnjR3arexbpd0uz56w3NEV5BwIk37ZWXt0XHlo9OTuef4hus4P7dgLuTrcHY7iymcNjRP3nevKDyBc3unyGWTz/Ks/ZSuJGnnda71yUdyDdfuxu9u4G7PF8EL4L4/kk2gtbbVJuecbT4x2I5w2ZNgk0Tk045a7xzvkz7Urkwylkwxtvw/9+OgM/wIbzkjwvTXrqI+DJ779f6jlKeb4e0xqeab8S89b57xYhTiwpvjwf6ED+nr4dd/I/v379+nVaPZfP829zuQwDjWEjsO3UhPkz5JqaBUXdLdUtxIklxdfnWfNP/hmKpYVz7ElnSHgeSKwuPXWemuBCeaYx5pc3yioQt5AlzBRfn88bhVGOLCrTseLo96kn46lFnlelPqvb6287NUFBeYaEl1CNbaRT/2dByBJmiq/P5zmQ0X203/MD9MrnnR/geRCXVgtzuE5NmHAffBBeLuoUZeXwFLeQhbTnKb4+n+ZAlCOLTmUgjOZG3b7GzCHPAql+qpJyJE3CrvPHjbNptGcoTdTPXXESbiELac9TfH0+zYFMRxadSzGrjsonHoHmeQzm2bVsCnCSeN7PKE/IOBD8ZYXlGVrnvDszGADq/ASARYtCFtKeUnwfPm0UJsgGH5HSeXO2BH2/kfoPwxxDS6Zh+9BSO3y1ggNgvEyszyiOoSZj4VgQspD2LMU34NNaIOO5oXVtmaO+eAy55xVJc7J0OGdS064csHHlrU4LgHUrQL5g6QEtCHGk/V6zBD7OgZQgFADqsWEKAOhi42MM9YQ8e6uW5qfSnml4zt0OZJxYZncf+rOuZVEOIXvSflk+zoHkYyMjV1udnEKNoWbn/L26qp/Kpc7oeaHT0A5VxtL4W1sCQN2SHADIzFM4hGxK+9X5OAdSjw5kMYYaJe9cbXwM5SXgoItrF7q4Rl4T+zgsA1B2u2Cgm0bKzSXtbiHWtN+rl/xxDmQIc3BLw1KNoTJrqStbgJF8Xgl5/hWYYtj2m0RAcElmm8q1STcYR7vx1/aM0B4+pwC6UEZK2XhlUchK2m/WGvnpqbDPRjnPd7aPNVe2exSWOe0RZSIEsHLYj+dHYdOxnO5TE9xn02goU9Qb7fCWJSGLaT/npNbn8YEOpD+yKAMzPEiB/jw2KaW0HFgaIpZSRvc+3NBzX+JhxcrSqQnus2n0p4Tyt1ptLAlZSvv6lIMWn8jH7QdyvoCEEQAk3yQYt3FgpDznAFjctVMtGy0n3yIC0P4OXKN5nn+Cv6SLUiyfmnAK+i7HwsEH33kx3jnnhXprUYg7bTXF9+CnPdjTmY4sUgdqzVZFSAOzrcm6Pk/zvB30PYeoyIaDlMSGw9oy9fBWZpzStSDEnXb25IPCH8/HBVExHbbEeTuOvRk1VJ5kdWpMDeoH4/J3i4K9HTQ7t2tHcbR8fZQ+P2dTCahLfRbIghB32lqK78HHdWE20f4Nova3Mc77u5UAcPJTzP552nssmm8vQult1Ik56r9fiJ7ie+AdyJykzpERnMqY5wGA80VEAM6XjAPfiT9oyuMZ8A5kzu82iAlQntou3PqVQgLA+RIip+tb0ng8H4N3IHPGVZdDECRP+wGZ3G8X4vGoeAeyTp28X9fV47kL3oF4PJ7DfNqGQh6P5454B+LxeA7jHYjH4zmMdyAej+cw3oF4PJ7DeAfi8XgO4x2Ix+M5jHcgHo/nMN6BeDyew3gH4vF4DuMdiMfjOYx3IB6P5zDegXg8nsN4B+LxeA7zf453+JMFwPFNAAAAAElFTkSuQmCC"
\Phi _ { 1 , 0 } ( x ) \in q ^ { ( \lambda , \sigma ) } \sum _ { i \in I _ { \lambda , \sigma } } \beta _ { \lambda , \sigma , i } ~ \# ~ K _ { \lambda + \sigma } \Phi _ { 0 , 1 } ( \alpha _ { \lambda , \sigma , i } ) + \bigoplus _ { ( \lambda ^ { \prime } , \sigma ^ { \prime } ) \neq ( \lambda , \sigma ) } { _ { \lambda ^ { \prime } } ( \mathcal { O } _ { q } ) _ { \sigma ^ { \prime } } } ~ \# ~ U _ { q } .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAr0lEQVR4nOWT7w3CIBTEr8YFWIEVWAFH6Ao6Ah1BV9ER2hHsCL4R6Ajnh2r5UwKfjZdACPzy3nGEjqjr0Dj/DeAYreWyKMDZlGAsB89MaYvZqLqHyebnKTDBtIBGhYKFrMK+QAKULCRBrRaWm4bqw26UiTUkeR7X8VEEeDiSHiSvfSHJ4YTHIJgBwEixBUlyxHcqvcWmkMcO0AAgpgJoASRKLPfAZ/+6h0uw+4+P8wbCeKmVgZcJeAAAAABJRU5ErkJggg=="
I _ { 0 }
"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"
\begin{array} { r } { w _ { i } ( 1 \rarr 0 ) = \mu , \quad w _ { i } ( 0 \rarr 1 ) = 0 . } \end{array}
"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"
\prod _ { j = 0 } ^ { k - 1 } \cos ( 2 ^ { j } x ) = { \frac { \sin ( 2 ^ { k } x ) } { 2 ^ { k } \sin x } } .
"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"
\mathrm { O D } = 5
"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"
U / t = 2
"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAADFklEQVR4nO2Z0XXjIBBFX/ZsA6QEWiAl4BJICUoJcglyCVYJUgmiBFOCKMGUMPthR8JCGLzyRsd79P5CroeZJ8NMlDfCpiX6tXYCr67NwIXaDFyozcCF2gxcqDkDnf7xNF5XoYHm86Df9yuk8pr6PV1wu0ZCfaBaI5sX1Nt0kP4yJwCfumdrpPN6Co5wKwGAO/MXwXaZJz+XW0kPpTc10DgAgMQTGon+fP/4ynkQmeAqWAqc3oEO8nbh6igAcJ6x3ajaVO5QH58GroIlwamBgdPtuKKK9Haj9KEHpo9jAbgKlgbDb+BEmd3YOADOaQxf1IMCoAsAtoXiUc4DYe2Q6XiFBPFaIyRLY4CxKo3VFoBQqTJsDQCQgZV0qyOOREQdSnpIXtzLJ3uciDp0RI3qKnaKcTcgG3eNxxOyZOKcxIj6MdwdTErJhmrjZXSQUspLYF9TA6/OdWgeM/Cyved6xYhIgojYmagoYpwHlmcZf2wD1pdEp7CQIBpRIaLhPEzmldGVRNSF8LQL88shthDXhd3boIeGDyOAmklAcwbwNg2iujd6jlgBCMTQEbtsnMYyy2AKwCHsJdM7kHMNAFZ8X1qV14XT+42yEi23EtAMgAju1hDMjMcB1IVIYUDdxEcxf9O2dfH2OIACQD0zhwSDtLIacHX5/bOQgx4y0NiDkwZ7+yTQw/a7Lx57ICO2vzczeNGYK/hX9HD52bnDXEcNDnXJqkYcY5fHXfmXh2AN9VBnKiURdYhxIzj9xa08rKeeh5fRBOuLe+G8aGciUjxZBhGVc+FCA6k/Nn20jmz1ZyI6EV0NZGmQ7hroY0TlTN63mBRSMi5PCeyiJhbOB0/sPANEP/k0NSCio8pi7xg4qCMiKnkKO3VdJ4puruYb9USZ6c0nF7zOerok0xImo+FlSjMBmOR8LwCwjD5bFxzQZZJDbZq55X9vIKv2hUXOX4FaG4Mi1arEroArVIICoFudEU7tFFwZa+qj3F7NTkXB+8B/IGsffA2RCsfS9f5YuJ8w8L/W9l+5hdoMXKjNwIXaDFyozcCF+gM2Y2uKdDme5gAAAABJRU5ErkJggg=="
\begin{array} { r l } { 0 = } & { { } + { a _ { 0 } } + { a _ { 1 } } - { a _ { 3 } } - { a _ { 4 } } - { a _ { 5 } } + a _ { 7 } } \end{array}
"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"
c a n b e o b t a i n e d v i a s o l v i n g t h e S c h r \ddot { o } d i n g e r e q u a t i o n
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAYElEQVR4nGP8z4AfMBGQp4cCFiT2vXv37p09a7wblwJGQlb8/3+3A4uK/yjAhYHBBVUEzZHG+KzADkYVDFoF7zFVoMa+MYYICnd3KAMDA0PobmQxRkTOQk6TSKJDIesBAL38YUpw1r8/AAAAAElFTkSuQmCC"
^ 1
"iVBORw0KGgoAAAANSUhEUgAAAD8AAAA2CAIAAAD/MtZAAAAYAElEQVR4nFV66XMd15XfWe693f0WbAQBAlxEraREarekkZWplDTWTFzeMlM1lcR/3eSrK58Sx+UaR5Ij2TO2LFuiJFLcKVIkSBAkCLy1u+895+TDfXhmul6hABTQfZdzfttt/M0v/wcAiBgRKZBzTkTNjJnNzEzNzFABABEBAEWZGcjXde1doapqiZkR2MxUARHJ1HkCMCSLGhHRzFQVQInIoUNEMzQzQzazlFpEZGYAQBMiimJm5lyRUmJmkeRZAA1NAUiNTFmBnZkBQP6aL0TMzwMAIgIAMTMzRPTs6lQ74Da2AKCWkiREVFUiMDAAVDVm9N6riloCIwNVVTNDJDNUy9+zmQERACAyouXVUQHVFJMyc0oxryaimaGZoEH+SwMAVEJkREZgMGJABiQiIsrPy19BMX/MkMgJGDMzQ12PicwXbChiEUiJxXlTlbZtQgiSDIBMEYwIXf4YsgKJoQIBIAAiHgwDEQAAiJmJyFANFcCICBEhL70hAACqmRKhQ5j9mx1cAOCcm+84ETnnAKBtWzMjIpGYUiqKIoRQ161zIW9UknZaj9khoI7H44PtJCLig+vgboqIuTLzlquqiAFAUkVEEQGAyWQyW2hkIsfsAcjMABRJZrMHQMsbrIoHHzooqoPqghjTrKIck+MoqU3C5FI0phCjVJ1eUZbJEjJHFZsVxuwCAFU1ECQDVAAFUFUxUzMVEVW12V8SOe+9JyJfhLyORA6IFVA196G5xyv+8UtV5w0wL6H5byaTugglk9u6sz0cjL0vjh7d8MENBxN2gAbKWhRF27bMnJc531M0HpQHIJmqGigCZ1AwMwB0zqmRmU2njRmqgiGJiDNAJAABAEVFQIcGuQkQUWBWUoBIDADmjIBJEcyMmZhZQSfTOvjqwc7+Z38598UXX7ZtWlpc2dhcf+21l0zaquNXVpbIKcTGew+gBmqISGSmagZmyGCoQAiqZkJMeegIpKqIrArXr9+8c/dup1s+cezo6uoqEyUzUkVCIwITs9na28HW4hx/iCilZKrMDAc7kBvae19P5YMPfvvvf/i8LKuiKEaj8aWLV27duhXrKTs4ffq59//+3bJwKbXMbGAAZIYABEAAaoqmaDRvNEHMdSrMTsFiC+e+OP/VhfMrKyvuHbe6ujYbjxkTIWFKooaUCxsIjRRQATUjYIZ8YACGg/YVVWmbmJJ+/Pt/+/zc+cXFJefC4uLi5uZGt9sd7I8e7Y/H07R1Z2c0rEUNmdoUiX1eThVEcDGaKolYbAWQnS9UAYAIHRgZKpPb3x9evHxDhdtGJCGRa5s0GxKAiOQmdma5gVBFMybEGDNiZpwSyV1lzKyqZdn55sKVj//v74MvzeyZZ578wfvvMeOnn3566VIzmUxNaTSa7O7ura0vAUhRVCKCgNNpi8j7+/t1XaumtbXVogwi4hx7VwCAmgJAjBEMBqMpGAff9a5aWTk06zowA4EMOMgA7IwU0Zhn4JBSaqKUpUdCQExNkwnLzGKMzvmmiZ988nsAAtSTJ0/+9Gf/aXGpk6T9+3/4j2Zy7+59MxsOxyKaKTy2TUbM4aD57cef3Lp1K7fvf/j+W88+93S3WzlmYkopqQIRI6qI7tx/RBiQuKp6hw8fNjMk+2u7z+qcnZlk1EFkVU1RQwgiM3YUkbL0iAiQ2rYti+6lS1dvf3e3bdsQ3FtvvX5odSHJNMkUjJt2klJKKQV2ZVmaIREhAFH4+qsLH3308f0He4Surmti+PLL8xsbR5eWljLpmgEAioiBIbrt7fshlCK6tLTU7XbVpo5zwVuWGxniHXlShaRKQCmpAYDapYtXvPcAsHnsaBJLKZoJOz8YjT/88KPxeNq27alTTz/73MkkU4PGe3y0O7x7927ml87yynzHmN3ly1d++ctfjUe1GLfSACCT290bTOqGyYtEIEAEMohmahDbtLPzsCjK6XRy5MgakaloZmIzBZhBvKk4IiKC2CIAmSkY7T0afPLJ7+/fv7+8vPyjH//0iZPHmRGAvfdffPGnq1euF0W31+O/efstJFGTEDwi7u/f3d3dc851Ov2yLMuyZOY21gh0/vxXzMgODx864n3Y2XkIoCnpYDAwMzVFMNXkiJwjNn5wf3c4HHrXIYK1tcNI5ohN59QJSJa/dTFGRER0uZ6YnSENR5PhaJLEbt787vjx42bmHDdNc/Gby2YoIm+++b0zZ55XmwJq08Sy7Ny7+wCMiQCBh8PhcDhMack5h2gvnDmVkoK5V157K/jyX/7lv4skRhsM99lhJh8DUU3AjrnY2rrXNkmlKYqwcmiB2UTFgADAFA2UDQBUzBwzqwIRiUgGln6/f+zYid3d/bqO33xz8Y033vCek8K9uw9u3LgVfNXv99955+38SEnJuVBP461bW22jKhBjXF7sImIILokg6BPHj3U7vaXFNReqhw+GAFDXjQ802h+k1EpqiYARiVDM6qb97s6WiACkpeVur9dhR80kMYbHVbCAGYhjYDBBQmZWjaKtc56Z61YJ/aP9cZvMFaxqj/ZH42lEKjv93kKvUpkyGbNT4/FourX1oIkRyTtPTVunFBEAQVGhKorNjSNI3pABk4gF3zGpT5w4EZzXLNdEQRMSJ7PbW3eTmmjs9zvEOB6P0RAdqZohELGAiRogU9u2McYs6NghosXYqCqh8z6MhpPt7R0fCu/DpStXfSibplldPdTplkSAZCLifXH7u7t3724zeQBIKWVYyDuJyETEjDE2jHbz5s3hYDwej5l5YWHBJAKAicEBzU8njSgwM6AdXjsUmAhmZoOZs9RVM0QEJlIgIPe4GkPE5eXlEEKGv93dB6q6tbV19cp1ImJnZ1887Rx4zyLC7GMrV69ejTESg2nK7mFG2IqmiIiiEdCY/GAwyk9xDhYWOymlEAKxB0JDcM7t7e0N9wcxRmZ+6qmnQuHyoOeqMQthACADcs557/Nvs0Z1zq2vHwZUkWQgMUYze/jwYV3XTdMUpTu0uiQi0+mU0AHQo0ePLl++3O12VdU5YuYDQeJTMkSq22Rm3nOT4p07d8ys0y0Xl/qL/R4zzZjHSBUAYHd3t2kaAC2DP7S0+LhJyuN+XBQTkTM7GPqMjqXb7WZxWzfNtKmJZt5HVdfWVquqUBPnnBkGX3z99YW7d7dNU2pb712Mrap6H5wLYCSGAEgEInEwGN3fftCrOpbiqeee7vUr51zbtskUmJJqm2Rn5yEAeHZF6TMQOUeISJStjBADEyGAmc3dw0z95PkVpQ/BiQgiTiaTtk3b29spJe/9kSNrhw4tI6JzgdA3jfzhD5/OIAskpZSk7fU6VVXlbVQF731M6n1x+/btTLRlVbzyykvMrJaSKSKKqQIa0mAwiDG2se50SiJEtOzLMv3NZUKWG9lbQZa+2ZYAmnOuKAoD8c7Fpm3b9vbt22aGaOzIzMBwMm68r7768putO9tFUTnnQnAxNWbivXeOU0r5zqKAyCGUF746Px6MJpPRm2++trl5JKU2ijEzkpkJIavCeDw1VZC0vLhQlkFV67rODY2I2ZHlFkVQMrNcMkQUQgghZEGWUltV1ayCGb333vsYY0qprmsRK8te2+iF85dS0nramklZloimmqb1WJM4JBEhgqxMd+7vXrl8o6qqhcX+W3/zBtJf3XMTm4wh49H0wc5DVfXed7uVD5ztao5n8sLP6x4RKd+ibdsMmmYWQnDOOedEhBnzAzqdcjKZmGFZVN4XYE4S3rl97/z5bxb6Symld95558yZ50Xi7EmoKbVIZiDOOQT37//2p8mkVtW1tZXFxV4G05RERBCNGEMoJ5O6nbYOSTQdXls2SZpiFu0AYCaZUvOPAEBN04jIvHJyU+dtapomxjiZjJqm7na7KbUi0bkAQE2TAPCPf/xTjCIiq4dXXnvtNe99XpjgXF4ImulqGo0mn3/+JRGxo9XDKwAQW0lJ4CAyIgJJFqNMJhMzIwLvnWicV3Uu/Vz0s4AEgOaG/yA7IDBU1eBcv9MNITRNUxYFE3Y7ZbfT+fbbb3fuP+hUvbtb259++pmImMjZ50+fPHkiSVQTNck+ITs1ZlKRP392bjiYtklCWb733nshBAXzIahqjDFPW0QePHigCqoaY1NVBTlygecq5vHABowQkXJhZMDJ6ZyqNnXc3xtmtjIz58hMzIQZ79279/XXF3Z2dj766KO6rr33ZvL0M08apNyvnjhvnffeOQeaAODSN5dSUkT8/ve/v7m5GWM0wxijczMwadvkGafTaUrJDL33CwsLmbkzdsFjgd98Gi5TwdyV50CnaZrMAGSwsrSIaEePbhRl2N8bmOG5c+e+Ovf57e+2lpYWhsPh6eefe+qpJ8fjofcMkgypbeMsnNHkmfb39ofDYa/XE4PNzaO7e4OqEzzbaDQuyuCCT21CIAAY7e+pAqJVVVWUXjUBgIIhEgIgEhgAzHI+g4M8JwdAqqKq7GaFxUwptbl9jx3ffPnlFz/++HdFCLu7D1LbdnvVaDzY2Dzy/vs/6PYKdNjtVZnP82o5YgHxnu9tXR/tD1zoQrQPP/xwZWX56LHDzzx9fGNzNcYm614EjDFub29ngdTrd7K3LoqQNTkBIpraLBpCRAB0zDxHGwAwQwImxCy/AKAoCkfQ73T/9p23QfSzz79omlQUwUzPnj3zox/9cHllMaW2CEUe94xHaBZ3aLI7d+4cGPx09+72w0e75y9+eePb4+/93d9urB8SiSrOzJBkMh6aCSIfOnTIe1Zt1BDMMbuUkqnkvNqAgRAN3fxhM2tioqpt2+ahsMPl5UVEjLHp97t/94N3T51+9vbt2ymlI0eOnD59uixDXU8ARVUQrSxL7z0iMM8e0KZ49OjRfv/KaNJ0uiyAKSUCvHr1226v+umPf5hSQtSirOrJeDiaHASjDpGRAoJLogehJ6gA0UHobeYsiSWh0olI07QA5ANPp9O2bphTt1ct9LuEVgQfYwwen3n6iVPPPXWAUZpibZAALDhHRqZJUguec5SNhIT85NNP/tefL23vPKw6xd7+8OuvLt64cctx79rFra3X9zePrqbUtDLdH45UQSQyGzObMhFJAgSSJEgQoxRFCaDOOwCI0RwRVVWVTEVmwitDbMbXTAVZHuXEiMhygagqoiECM5qRmXW73ZSS98V0Oh0M9taPrKgKI5ZVOH782JEj663WsZXFhd7Dnd3BIE4n7bWr3x46tMheialNOhxPRCMYhRBGo/HW1p3t7btEVHUK73l9fX1tbTUUPiXNsZQTMCS0ZAelqQIyGo3yBMysKArnnIghIjPnaWTUyvkKIZphWzeFD84F731RFCmpGRARmKiapLxV6JxbXlnp9Lp7+w8B9Ltvb7768gs+eDCq64ma5GFcu3btwoUL29vbAJCT5Ow6Xnnl5bMvnt7YWB9PBlVVUMZUOzjqycJhPB7nqD7rcoBZQpjlEP7/V6YIZs6t0tRRVS9cuLC/v59SyqjHzDl+TUmdcxsb66qpKMNwOKzrlogRqa5r79l7JyIxRlVdWFhYWVnpVD1CRxh27j/6P7/56NM/fl5PU1V2YowuDzrrQQBgRucJQJO0SAUxZPSYK6S5N0DEebQCB6ktIlZV1TTNJ598cur00y+/fDY2Y5EI5IgIFJxzzockbdvWOXgEAFTMxpwBWxERef7502fPnh2NRpPJFIHN8IMPPhqNtgHgz599/vLLLx07vkbkXMbmlJJI9IElWV3X2Zhl7ZOXFhAO0tm/sh1iDlGYMkAxM/N0Oq06BUAxGAyapim8zyrXOZ/n7xzv7e0laesal5aWFhYW8tFaWZaqKqLOuaqq1tfX+/0uEZVlh9ldvnz5/v37ZRnqur5z586RjVViI1VNKeVqzmNKKWY3mN16VsVz44JmBLlfH1OqM7Zvs0YwxZTUoi30enVdIyIHxgPTOBqNBoNBXrJur+r1OlmnlGVJ5Jg8Aj969Khta3ZYlGwQEbXq+CST1DYq8cTxo8ExAVK+Sx6BiDBzVVXeM4BljTG3w/Mqz3+cr7m8s9l5lmSO7Pf7Z8+eradtCGXW61lpFUUxmdTb93accwaSUlRLRIBoWZYjYoyxbVsfOIsrREOyyWTITMS2uLjQ73cNxHtPGSjz7PNwcy3GGBFBVUMIeU/N7OAoDs0QZ0etKQ/Le59SAiMiRsROp9Pr9VRVwKJaTI1zlM9lr127MRpNvPdN0zxx8qhqa6AZ4oqiZPaIPJlMx6Np9txmtre3d+P6dccoGk8+eaLf7yJCXU9mZjEzfE5ec8FkBXFw5mxglNdv3qbzZCKXXFZ1Zta27WQyWV9fn6kGAcfBex9TAwBN0376x88QaX9//+zZM6dOPZskOkcG2u12jx49OpmMer3O1atXL1y4GHyZDwn/1//83zv3H1ZlFwBOnjwRQmjb1nlyhkBMlshQ1UwkIXIIgYiKopiXe5bgIYSUWiRC/esBESCYIgCMx2PnyXs3nUYzC1XZtFNEZPaxbVQViK9dvX7z5s1+vz8ajV599VXvGVEdcWyaMlRnX3jh5s2b0+m0adqPP/5kPJ70er2/fPbnG9dvLvSXm6ZZWV598cWX62ZSlkE0OjtIoAAgM+jceiEiMeelFZFMwfm4dB75AygYIQIR5UA3T3Vtbe0ASTnGmOMkcv7cua/aNoUgVVWurx92nolYLZVlaJvmmWdPvnTnzO9+9zvn3Gg0+s2/fhBjLHzZ6fTaNpVl9e67766sLDXtOMaolmjmgwByuTNzUnmw+zBHVLmJm6bJvZhtZEqaj0bm9YOIOXfIR9BLywtvvvm9JG3uHOe8KiDy7e/ufPnl11VV1fX09ddfPX5ig5lTajOlVJ0C0V57/ezzLzwbCjJTHzjr86Zput3qRz/+4ZtvfW86Hec8JnBwc7zLjUtE2fXMCWhnZ2dx6Yl8EMnMZrM3LhAJIL9uIIg4GAxDCMePH997NHjiiSeWlpZSasyUczhq0Lbx17/+19Fo1KkWVldXf/D+e96zWkwpeeeYXdPU7GBt/dCPf/LDq1euXbly49rVm0VRlKHY2Nh49dVXTp1+ejze7y90Zp2WzIEhYQ4eHov3EXOWlqQ9f/78mbPPjUajTqcHs+MQhoNkFBGByBBCUfzkZz/d2d797E9/eeONNxDROUeEZjAej30If/n83FdfftPt9Mfj0dtvv1VVRRsbTbHX6WdNbmY+YJvqbrf43huvr69vvPLKK94VZVEsLy92ugFACkcGkYEBqKg6LuO3iKjOTgWbpmmaxkCcp8FwFGNs29TpdHKKOH/nQVXzPgBhDszW1tZ6nf7m5uby8iIzt7GJUZmZyd+6dftXv/p1WZZ1XS8tLb340hnVpMreF5PJBBGLokgp1fXEF66u65T08NpKr9dh9kwg0kwmUSQSA02pcEXbpBiTa5vGzJhpPBrNTtrUqqooO4WC9Ba6Z148OxyNkWAyGgNAWZbD4XA6neass2mabrdb101MyTmXkoYQtne22rbNdyvLzsOHD3/74Ufj4cj7wjQdWT/87fVrly5+nU+5iSibcedcSq2qEoMatm0rYp1OJwPxdDzKhGhmDvMrHxF//s//JCIA1rbZ0SAS379/f29vkPt4c3OzLEPbtsG7uq4z/qhqVVU5w+r1+qqKRHn3u92uzVJfnEwmDx8+Go/HJlBVxWQyOXXq2X6/38a6LMuMVHOyL4pCVXMPIs/eSslI7ZwLzpsZkUPE0ufMD9xTTz051wgAMJ1OifjMCy/4UOaMrdfrDfYfLS0tHSDnLBadP7UsSwBg57O2y5SXMWpr694vfvELIgihqKriZz/7yennn0spzYNvRMxRITPnEHIO3957BVNVUMv4AQB59J4yfoB7++23M4l2Op2maUajkfeBiNiFTLohuBRjVZVmmUpn2epcouUrJpkvVQ6fAaCu65WVpe3t7cXF/n/7+X85fvy4SMr/la3ZnEzmkinHqbkbVQURiWdMQkSIs2nP1CgZgCiBtvUkiYTgctoqqSUE9pxirKpKJIWQ5fTMzcznkPUtEphZTC0iImFK0Xt/aHXlH//pP+/v7584dmJ5eQnAcgIMgGaKlLfI8pFb9kAqM6mbVQkhZs1yML38WkU+CCJ3UF5hOp2Sc977bH9EtCiKGGNVVXkNMobOpeXcVWVSU0lZAGfKy1arLMvNzc1jx455zsQCZrM1Vks5opznMznaICR7LCXOM5mHmCkpPHb9Pz0i3EFQb9L8AAAAAElFTkSuQmCC"
1 9 3 6
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAb0lEQVR4nGP8z4AfMBGQH1VArAIWZE4elJ6ES8HSaE8GBgaGtyhG/EcCE80gFLIYioL/DNv+////ZjFuBblm6AagKXjDsA3NADQF/3PN0Az4z4iaot6KLGaIYcDpi////+eq/MdrAiYYDLE5QhQAADA/vYQWL3uKAAAAAElFTkSuQmCC"
\boldsymbol \nabla
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsElEQVR4nN2TTRXDIBCEJ301sBZiIRawgIVWAhZigUpIJCQSUglBAhamBw4sDSHXvu5pmfkeb4efjmjX7cL/CeBerMIaILYvNKoakzRqTQMTho2cpCA0IBJJcoPUgQUuNQZLVlWKYGxqhtMhWdmhBghiE/B4nKRIFXvsTcCeHxRJ0sGyBXgMsQUc/C/g6JeAh+xsAB6ypUFdFtWDeT1h5hnAe3XVuzBZVEm7v/g4l8AHQDfRJSIc2SMAAAAASUVORK5CYII="
2
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAs0lEQVR4nN2TXRWDMAyFLzszUAu1UAu1wCTUApPQSZgFJgEktBJAQirh7pWMBV53lrck32lv/jri2C4n+Z8Artq9NR9CUCFurfgYgbQNaSALJU20AZJDr/2dyFZX2BpYegDZ/mJIwmVaTCDHT0UaEDceA9nt86qKWbdwP4vqToDWvgBbDd7JscgnXAQwmgBlKhSfbYAkGVQj9bAed+AVvdKoNqquc0W2q2Dpk36fZPcXl/UG7kCQP/5bbrgAAAAASUVORK5CYII="
\xi
"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"
2 0 ~ \mu
"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"
K _ { 1 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAVElEQVR4nGP8z4AfMBGQH5IK3lcwoilgQeZUnL13D8OI/0hg993/qAL///9nRAtJRgY0gUEYDqMKIOA9A8NZNBXIUeuixMDAwKDkgi+6ae/IAVEAAP2+QI5HdLjiAAAAAElFTkSuQmCC"
1
"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"
2 0 \%
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA60lEQVR4nO2UwVHDMBBFvxka2BaUEqAEUYIpwZTgFpISRAlQgihBLsEpQSnh5eAAsZJgh3Bhxv8gaSXt253ZlSp0m+5u9F8A/wNQPe6k3er514CoF+nJwsUA407sNu7Ico2k7arfdNEuRmCkODprAfDOMgA5Rk5UAHJ/arR6O8zOLEwAzijJtQDBIgSVSUwCkoVoGRgwdX0lIFkA32R6JYDWXQdI1gDJRBxurkuH+5+74CEP48dXZcsbM1vZfy66kjD7LThtz6YwH+BeJendlwcTVfhWsEBfH5pydhWOtXaST+VutXzrC+AvAHtkANvsrhex6QAAAABJRU5ErkJggg=="
- x _ { 0 }
"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"
k ^ { 2 }
"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"
\frac { \partial C ( x ) } { \partial x } > 0
"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"
0 . 9 2 \cdot 8 p _ { 1 / 2 } ^ { 1 } 7 d _ { 3 / 2 } ^ { 1 } 6 f _ { 5 / 2 } ^ { 2 } 5 g _ { 7 / 2 } ^ { 2 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABBUlEQVR4nI2TW3XDMBBEb3NCQBREQRQUCKZgCgqEFIILwYUQQ3AgWBAcCNMPyXH8UrpfOtp7dmdGNjquIfQShb7BSCcOKz5x8KVj4oe6DABQWJHqfNS4ANyPgej4jRYo2IRKJZsPcEWR/wH8B8DxAfAAZ+gAa/PtE4wD6CDdSQBttuaAIEm6Qa9kM3gwea4PSTs88iQkBbhP6TSYdLB4aQ7KzdIqAJ4Rrtc8wc+Bj5OcFsArfXJvwGvDq1Y5fFOv81hMaGBYv+kCsNSbR38HwnbAAuinFHeAQdJoMeMGOAEWOoiXSGPWHkDSDUwbDFuFecWQWbfTTz9vir/aCpiAsYaq3WtLf6XyvdR5L5/GAAAAAElFTkSuQmCC"
v ^ { i }
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABN0lEQVR4nOWVzXGEMAxGHxkacAu0QAtOCbRAC6SEbYFtYUuAEpYSSAmkhC8HYtbGP5tDDjsTXcDSG0v6LEwlyvb2JP5fgBp49x2Naa3xHVKsZb/qsCQAwwFUgjmIzfMC9KOX4mxTC/Reisi2HrgUAKkDs5WAzbhCM4BGaIqADNwlKSt1B0vxLAx8FoH255kFlmfAnoWk1JKkBqZSmxOYog7WHVcGuABrARg5ZiYFbAPQbjlgGowXz82kdfE00IyPDevoDExrrbeuEgmWLzwkbmL1P4tUm9bNa67NYAPVwEdQwe3wXFyRVWYeBL+8HwZvPS/BMmpzM9jQcwJ6NwYZYH189mkg1CgGThrFQs2han8o1LS/Xm+MTWKfo0VDd64w6CLWKATuiRYDIKGRpP0qLtor/JJeAfgGt2McPoiBQxQAAAAASUVORK5CYII="
\supsetneqq
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABFElEQVR4nNWTwW2EMBBF367SgFOCUwIt0AIpwSmBFpYSTAmkBChhtwRTginh52CMjVZJbpEyJ0szPL3P2Bfxc11/6f/twPb69tTdAOXy4HUq3/ZSGbDQnPozTNXAbFuY64EJJB0Oo3PwWQs8aCgOwURZCBXB4SrC0Bk6GCvCii2EaIIUwRzfxx6cazNhaCwYx5YR4/sD1vUgWC9Jd7BVSivlmH5HN1XSG50OydElsKs0d0cSLWTXkrRJMCSpa0t2+v0IMQ+EsqU7mFg7CkmupFcDt90xYa+wZkWg/M01bQKkvt5ABKaE8tIUhKI5XYOOxIY5dr30wrC1S7UiC8tqWeCD3gEyzxfVSXdogyRd/tfL+qa+AL6ubRkI/sSsAAAAAElFTkSuQmCC"
\Delta t
"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"
1 - \mu > 0
"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"
E \sim E _ { \mathrm { E P 3 } } + c _ { 1 } \delta \tilde { \gamma } ^ { 1 / 3 } + c _ { 2 } \delta \tilde { \gamma } ^ { 2 / 3 }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABL0lEQVR4nO2VwXGDMBRE15k0QAtqQS3gEpQSSAlyCaQEKAFKECWIEkIJooSXgwMG4+Dx+JKD/4Xhv2Xhr8TogJ6rtyeffxn8L4PTSWqPvVQfrzU7SHo/X4a6tePX2Gmo+36t2EGSJABI5KVPIYsV3jFXSLsIQFPDFAlvS7DlLPpWdQddDJIqcAaS4qzy9g5aGIQMMCU0GUAsEyGYsEUxwnfkjIDfENU5aRic1OWSxraT7TKXb1DdWqvPQmd0CZF8eoPxVQSavJpyWiPvSZojnEdICuBzQDYCJDMprpBvqBaLcVmFWb/I5BbKQ7LVornZypkkjeNg+/Emkjq57Ua6KucoTXMb2bicYDvC/LHpJiFRLif4w2C3itXdo7/zh9pi1XjUwJyMXTUOr3PhZSDpBxIlXinElCQWAAAAAElFTkSuQmCC"
m _ { x ^ { \prime } } m _ { y ^ { \prime } }
"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"
\begin{array} { r l } { \mathbb { E } \bigg [ \bigg \| y _ { t } ^ { ( m ) } - y _ { x _ { t } ^ { ( m ) } } ^ { ( m ) } \bigg \| ^ { 2 } \bigg ] } & { \leq ( 1 - \frac { \mu \gamma \alpha _ { t - 1 } } { 4 } ) \mathbb { E } \bigg [ \bigg \| y _ { t - 1 } ^ { ( m ) } - y _ { x _ { t - 1 } ^ { ( m ) } } ^ { ( m ) } \bigg \| ^ { 2 } \bigg ] - \frac { \gamma ^ { 2 } \alpha _ { t - 1 } } { 4 } \mathbb { E } \bigg [ \bigg \| \omega _ { t - 1 } ^ { ( m ) } \bigg \| ^ { 2 } \bigg ] } \\ & { \qquad + \frac { 9 \gamma \alpha _ { t - 1 } } { 2 \mu } \mathbb { E } \bigg [ \bigg \| \omega _ { t - 1 } ^ { ( m ) } - \nabla _ { y } g ^ { ( m ) } ( x _ { t - 1 } ^ { ( m ) } , y _ { t - 1 } ^ { ( m ) } ) \bigg \| ^ { 2 } \bigg ] + \frac { 9 \kappa ^ { 2 } \eta ^ { 2 } \alpha _ { t - 1 } } { 2 \mu \gamma } \mathbb { E } \bigg [ \| \nu _ { t - 1 } ^ { ( m ) } \| ^ { 2 } \bigg ] } \end{array}
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"
\begin{array} { r l r } { \frac { \hat { l } _ { + } \hat { l } _ { - } } { \hbar ^ { 2 } } } & { = } & { \hbar \mathrm { e } ^ { i \phi } \left ( z \partial _ { r } + \frac { z } { r } i \partial _ { \phi } - r \partial _ { z } \right ) } \\ & { } & { \hbar \mathrm { e } ^ { - i \phi } \left ( - z \partial _ { r } + \frac { z } { r } i \partial _ { \phi } + r \partial _ { z } \right ) } \\ & { = } & { z \left ( - z \partial _ { r } ^ { 2 } - \frac { z ^ { 2 } } { r ^ { 2 } } i \partial _ { \phi } + \frac { z } { r } i \partial _ { r } \partial _ { \phi } + \partial _ { z } + r \partial _ { r } \partial _ { z } \right ) } \\ & { } & { + \frac { z } { r } i \left ( - z \partial _ { \phi } \partial _ { r } + \frac { z } { r } i \partial _ { \phi ^ { 2 } } + r \partial _ { \phi } \partial _ { z } \right ) } \\ & { } & { + \frac { z } { r } i ( - i ) \left ( - z \partial _ { r } + \frac { z } { r } i \partial _ { \phi } + r \partial _ { z } \right ) } \\ & { } & { - r \left ( - \partial _ { r } - z \partial _ { z } \partial _ { r } + \frac { i } { r } \partial _ { \phi } + \frac { z } { r } i \partial _ { z } \partial _ { \phi } + r \partial _ { z } ^ { 2 } \right ) } \\ & { = } & { - z ^ { 2 } \partial _ { r } ^ { 2 } - \frac { z ^ { 2 } } { r } \partial _ { r } - \frac { z ^ { 2 } } { r ^ { 2 } } \partial _ { \phi } ^ { 2 } } \\ & { } & { + ( 1 + 2 z \partial _ { z } ) r \partial _ { r } - r ^ { 2 } \partial _ { z } ^ { 2 } + 2 z \partial _ { z } - i \partial _ { \phi } , } \end{array}
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"
\beta F = - \left ( { \frac { 2 ^ { 2 1 } 3 ^ { 2 } 5 ^ { 7 } \pi ^ { 1 4 } } { 7 ^ { 1 9 } } } \right ) ^ { 1 / 5 } \! \! N ^ { 2 } \left ( { \frac { T } { ( g _ { Y M } ^ { 2 } N ) ^ { 1 / 3 } } } \right ) ^ { 9 / 5 } = - 4 . 1 1 5 ~ N ^ { 2 } \left ( { \frac { T } { ( g _ { Y M } ^ { 2 } N ) ^ { 1 / 3 } } } \right ) ^ { 1 . 8 }
"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"
6 5 1 ~ \mathrm { ~ n ~ m ~ }
"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"
S = { \frac { A _ { + } } { 4 G } } + { \frac { 1 } { 2 4 } } \ln { \frac { A _ { + } } { \pi z _ { 0 } ^ { 2 } } } ,
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\begin{array} { r l } { = } & { { } \left ( - \gamma \left ( \partial _ { x } \tilde { u } _ { n } \right ) ^ { 2 } , T _ { \varepsilon } ( u _ { n } - u _ { \nu } ) \right ) _ { Q _ { T } } + \left ( - \frac { \partial _ { x } \gamma } { 2 } \partial _ { x } \tilde { u } _ { n } ^ { 2 } , T _ { \varepsilon } ( u _ { n } - u _ { \nu } ) \right ) _ { Q _ { T } } + \left ( g _ { 0 } \left ( \tilde { u } _ { n } - \frac { 1 } { n } \right ) , T _ { \varepsilon } ( u _ { n } - u _ { \nu } ) \right ) _ { Q _ { T } } } \end{array}
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\sigma _ { \eta }
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"
\begin{array} { r l } & { m _ { 1 } \approx 2 . 3 2 3 2 0 8 3 7 9 , ~ m _ { 2 } \approx 2 . 3 2 6 3 2 0 4 5 7 , ~ m _ { 3 } \approx 2 . 5 0 9 7 4 1 1 5 1 , ~ m _ { 4 } \approx 2 . 5 1 0 5 2 8 4 9 0 , ~ } \\ & { m _ { 5 } \approx 2 . 6 3 2 8 8 5 0 2 8 , ~ m _ { 6 } \approx 2 . 6 3 3 0 8 9 0 0 5 , ~ m _ { 7 } \approx 2 . 9 9 7 6 4 1 2 9 4 , ~ m _ { 8 } \approx 2 . 9 9 7 7 3 6 2 6 2 , ~ } \\ & { m _ { 9 } \approx 3 . 1 1 3 0 2 9 7 9 9 , ~ m _ { 1 0 } \approx 3 . 1 1 3 0 6 9 6 3 4 , ~ m _ { 1 1 } \approx 3 . 1 9 7 3 3 2 9 9 5 , ~ m _ { 1 2 } \approx 3 . 1 9 7 3 5 4 1 4 7 , ~ } \\ & { m _ { 1 3 } \approx 3 . 2 1 9 4 2 5 1 6 0 , ~ m _ { 1 4 } \approx 3 . 2 1 9 4 4 0 7 8 4 , ~ m _ { 1 5 } \approx 3 . 2 6 9 6 1 3 4 0 0 , ~ m _ { 1 6 } \approx 3 . 2 6 9 6 1 8 2 0 2 , ~ } \\ & { m _ { 1 7 } \approx 3 . 2 8 8 0 5 9 6 2 0 , ~ m _ { 1 8 } \approx 3 . 2 8 8 0 6 2 9 9 5 , ~ m _ { 1 9 } \approx 3 . 3 1 4 9 7 7 5 1 8 , ~ m _ { 2 0 } \approx 3 . 3 1 4 9 7 8 8 1 5 , ~ } \\ & { m _ { 2 1 } \approx 3 . 3 2 4 0 0 8 1 8 4 , ~ m _ { 2 2 } \approx 3 . 3 2 4 0 0 8 8 2 6 , ~ m _ { 2 3 } \approx 3 . 3 3 2 9 6 1 8 2 4 , ~ m _ { 2 4 } \approx 3 . 3 3 2 9 6 1 8 5 0 . } \end{array}
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L ( M , s ) = \sum _ { n } \tau ( n ) n ^ { - s } = \prod _ { p } ( 1 - \tau ( p ) p ^ { - s } - p ^ { 1 1 - 2 s } ) ^ { - 1 } ,
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA80lEQVR4nO2UW5EDIRBFL+ugI2EsEAlEwqwEIoGRMBawgAUsTCRgAQt3P8Jsisc+qvKTSk3/0c05FN0UinguPp7kD8F7Cq4XdQWARalbXVlO6rJ8ntW9/gjWETSEpAVMrgoe2EhqyFblWwETEOh0avMejqRt+V5ACxt17tKl1vIDQYD05+88fJvrBQlw/+cHAjNjGvLriO8Fq0tAHPD+zqc/mrhOmTNMWQX7vb3wWVA3qBI4QDYyAjauJCmQB+9I0kLyz4K5TMkDUyBJsz+0LIA2xgj0b1fIsdjzvitW/dxi7AbcT6EymvbddKGOX/kQvITgC507ocS4kKriAAAAAElFTkSuQmCC"
x , z
"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"
{ \frac { T _ { 2 } } { Q _ { 5 } } } \sum _ { A = 1 } ^ { Q _ { 2 } Q _ { 5 } } \dot { \chi } _ { A } = { \frac { r _ { 2 } { \dot { f } _ { 1 } } } { \kappa ^ { 2 } } } = Q _ { 2 } T _ { 2 } \dot { f } _ { 1 } .
"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"
u _ { 0 } \geq ( k _ { \mathrm { B } } T _ { \mathrm { e } } / m _ { \mathrm { i } } ) ^ { 1 / 2 }
"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"
\lim _ { h \rarr 0 } \frac { f ( z + h ) - f ( z ) } { h }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3klEQVR4nL2TXRnCIBSGP2ywRZgRTgWMgBEwgkagghU0AkQYEVgEFuF44WC4MXfj43d1gJe/lwfB+J7DzviPAXdpRXu8DWdfEpwSNVTPHFQDy3MyEAnmXVEdUNBTZauARRNTH9UAhStXkwB8rFtETKoFNpxvifKnHcC5hagOfdrV6PIMCTBQU3VvIkdr7ktRGjoyc9AUmKPJ2ua3MB2kJHrPDMl7ATD31iabj6ylBIpcc//GNT3tiNoDhrH7DjjIbeA5Al7mLVa36EHWUMhtsXpl70Yp5+YaWOTPX6+aF8JigoRBWsiLAAAAAElFTkSuQmCC"
C _ { j }
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"
\begin{array} { r l } { \frac { \partial F } { \partial t } | _ { t _ { c } } ( t _ { c } - t ) + \frac { \partial ^ { 2 } F } { \partial t \partial M _ { T } } | _ { t _ { c } } ( t _ { c } - t ) } & { ( M _ { T } ( t ) - M _ { T , c } ) + O ( | t _ { c } - t | ^ { 2 } ) } \\ & { = \frac { \partial ^ { 2 } F } { \partial M _ { T } ^ { 2 } } | _ { t _ { c } } \frac { 1 } { 2 } ( M _ { T } ( t ) - M _ { T , c } ) ^ { 2 } \mathrm { . } } \end{array}
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"
\begin{array} { r l } { \sum _ { n \geq 1 } \frac { \Lambda _ { f } ( n ) } { n ^ { s } } } & { = \frac { \Lambda _ { f } ( 1 ) } { 1 ^ { s } } + \frac { \Lambda _ { f } ( 2 ) } { 2 ^ { s } } + \frac { \Lambda _ { f } ( 3 ) } { 3 ^ { s } } + \frac { \Lambda _ { f } ( 4 ) } { 4 ^ { s } } + \frac { \Lambda _ { f } ( 5 ) } { 5 ^ { s } } + \dots + \frac { \Lambda _ { f } ( 1 6 ) } { 1 6 ^ { s } } + \dots } \\ & { = \frac { f ( 2 ) } { h _ { f } ( 2 ) 2 ^ { s } } + \frac { f ( 3 ) } { h _ { f } ( 3 ) 3 ^ { s } } + \frac { f ( 2 ) } { h _ { f } ( 2 ) 2 ^ { 2 s } } + \frac { f ( 5 ) } { h _ { f } ( 5 ) 5 ^ { s } } + \frac { f ( 7 ) } { h _ { f } ( 7 ) 7 ^ { s } } + \frac { f ( 2 ) } { h _ { f } ( 2 ) 2 ^ { 3 s } } + \dots + \frac { f ( 2 ) } { h _ { f } ( 2 ) 2 ^ { 4 s } } + \dots } \\ & { = \sum _ { p } \sum _ { k \geq 1 } \frac { f ( p ) } { h _ { f } ( p ) p ^ { k s } } = \sum _ { p } \frac { f ( p ) } { h _ { f } ( p ) } \sum _ { k \geq 1 } \frac { 1 } { p ^ { k s } } } \\ & { = \sum _ { p } \frac { f ( p ) } { h _ { f } ( p ) } \sum _ { k \geq 1 } \bigg ( \frac { 1 } { p ^ { s } } \bigg ) ^ { k } = \sum _ { p } \frac { f ( p ) } { h _ { f } ( p ) } . \frac { 1 } { p ^ { s } } . \frac { 1 } { 1 - \frac { 1 } { p ^ { s } } } } \\ & { = \sum _ { p } \frac { f ( p ) } { h _ { f } ( p ) p ^ { s } - h _ { f } ( p ) } } \end{array}
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\mathcal { V } [ 0 . 0 0 1 , 1 0 0 0 0 ]
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAQklEQVR4nGP8z0AZYKJQ/6gBowaMGkAtA1hQeHlQ2tOTgYGBYdL27QxINExyEtEuuLMDlcYKGEcLlFEDRg0YLgYAAIBRC2eQ2KUrAAAAAElFTkSuQmCC"
- \cdot \cdot ~ -
"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"
\langle \partial _ { \sigma } X _ { i } \partial _ { \sigma } X _ { i } \rangle = N \alpha ^ { \prime }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAuklEQVR4nO2TyxHCIBRFTxwboAUsAUughVhCarAEbSElhBKSEvJKkBYoIS7YGGARjTO64G4Y3ue8z0CzsE+HnfkVUAF/AjhuipqCtAYgOLoPABJae54VID71ZSNMJYBDaQGwma9JvvMlqMGjIUg0aA1AOD0UwJXbOiEdYUAkvNZR8biPqtBaAQCm1wBq1a2LO9wEwHcAvo83awGnjQ9GipAl05BZ5hio5mW0NvGlS3xbv3/KFVABXwE8ATwuX8WkVxpzAAAAAElFTkSuQmCC"
\gamma = 2 . 1
"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"
\begin{array} { r l } { T ( x _ { 2 } ) - T ( x _ { 1 } ) } & { = \tilde { G } ( x _ { 2 } ) f ( x _ { 2 } ) - \tilde { G } ( x _ { 1 } ) f ( x _ { 1 } ) - \int _ { x _ { 1 } } ^ { x _ { 2 } } g ( t ) f ( t ) d t } \\ & { = \tilde { G } ( x _ { 2 } ) f ( x _ { 2 } ) - \tilde { G } ( x _ { 1 } ) f ( x _ { 1 } ) - \int _ { x _ { 1 } } ^ { x _ { 2 } } f ( t ) d \tilde { G } ( t ) } \\ & { \leq \tilde { G } ( x _ { 2 } ) f ( x _ { 2 } ) - \tilde { G } ( x _ { 1 } ) f ( x _ { 1 } ) - f ( x _ { 2 } ) ( \tilde { G } ( x _ { 2 } ) - \tilde { G } ( x _ { 1 } ) ) } \\ & { = - \tilde { G } ( x _ { 1 } ) f ( x _ { 1 } ) + f ( x _ { 2 } ) \tilde { G } ( x _ { 1 } ) } \\ & { = \tilde { G } ( x _ { 1 } ) ( f ( x _ { 2 } ) - f ( x _ { 1 } ) ) \leq 0 . } \end{array}
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\frac { d \mathbf { r } } { d \mathbf { T } } ^ { T } \mathbf { q } = \frac { d \mathrm { ~ N ~ u ~ } } { d \mathbf { T } } ^ { T } .
"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"
\begin{array} { r } { \Pi _ { i j k l } = \left [ - \frac { \nu } { 2 G ( 1 + \nu ) } \delta _ { i j } \delta _ { k l } + \frac { 1 } { 4 G } \left ( \delta _ { i k } \delta _ { j l } + \delta _ { k j } \delta _ { i l } \right ) \right ] + } \\ { \frac { 1 } { 4 H } \left ( N _ { i j } + \frac { 2 } { 3 } \Lambda \delta _ { i j } \right ) \left ( N _ { k l } + \frac { 2 } { 3 } \alpha \delta _ { k l } \right ) } \end{array}
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\vartheta = \vartheta _ { \mathrm { s h i f t } } ^ { p , q }
"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"
\rho _ { \rarr t } ^ { i \setminus j } \left ( x _ { i } ^ { t } \right )
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAJQklEQVR4nO2c7ZmyOhCGn/dcp4G0kLcETgmxBLYELCGWgCVgCVgClIAlQAlQwpwffAjkgwDiunvl/uMuwsxjMk4mIfiH4PEcxz/fLcDzu/EB5jkUH2CeQ/EB5jkUH2CeQ/EB5jkUH2CeQ/EB5jkUH2CeQ/EB5jkUH2CeQ/EBpiXvXm9XoMnz3Hqyx4IPMJXq8vfa/Zlz3P6eTqe/j29V9IPxAaZwOYF1fzZ3gXOYZWF1+lZJP5g/frvOnEeAEzIAwC1Pm781gFOeie9V9VP592D7ed8vt0Y2D8DSTRcAQMCDgyUtMfKfC1QRAATGKuxTVH8/+pZ48RBZXc53AF/9f0Mxg5wvFTOCXR8iyP87v1bSHu4hgrj9kxtO+UDV34ShJeiVlEwAXIaSiIgkl4Ho3qlRI8qyEMx8dYaEiCIUL9W0BdHKTgf1TBjP/RzV3422JV6bwW4yKyVuXAIAwjLuq2XcQ7BEiFQ05in/AwEAhualmnYwjO9fSI0nfZzqb0PbEq+twWKAx3H/33gwzsVSMQNU7RXsY8qZe9G+nh8ZM570caq/DW1LmDLYdcva4mNUYDXTYusemoqZp6cqAPC4xebOtLNJs0X1nbdaz/dMjZ7B2V7Ve3jH6pylU2foW8I0nJqLDjOTbpBEQzEzVDNqMTPyhKhIpcg2OJ5bWoWqupMtYyIikkhtznaqXqSOmECgkUCJ0PReGTGAR/XL/Guax4C2JfQBVnMEG7Qgeapqr+8DLGr7igSbffKRpxIytn8CKxs161R3snlBRJQ839c526l6kZJFRHWguCgl16WHfixnL5tzaJpHj74l9AEmg03TSz5cjy6Q+gBjJRERRcrnHnnKkJHYPhnbqFmnmoKAiApORJQgkFLKaJodn852ql5EcCKimqGcHE7Bk1TzgSOWEpURNmZzDZrm0aNvCW2fFMgCbEiyUfeaoPfTz/fb0Ffja+xJoqaSbctC2zWrqgsRAIEg2Q7yulpi5Gyf6kUytLk/muWGMiXKNAEm2nwTYhaQ21E71YC+JbQBJiQJbK8qCjak1S7A2mpGU8yMPUWMiDYPNzs1T1S3cHN7jpztU71I1LmJNcOTLsB4G/YFdrWFBqV5FPQtoQuwmNUkl8yZqTn6qO8DjBekLWYmntpF2Y3DzU7NU9VERFRyw5lTZ+tV112edYoA3iVKXTDpjvUyFgIslWG8Kt0rzaMa0reEbh7CUiK5/TspEAzag4Coq2Y0xczUU/tadleXXKxogb2ap6qJiCjWNqjibKraQXaf+tymJH0MlVDHf12A9RI1pz8phMwSxtLMPcspzaMamrVEh2ah9RKEgLhWpnWRy/i/IJ6/f8lZyrozmwf+YxnuIYD7ZEVF8XTLkV8iDi6vX1IAt6q6KraNLGheo7pHGBe2Rs7mqp1kcwB4TO77m+QNLcaBx4r9HHdE5nW5xykLgObyBVYv+O9Rm2duSGmJHiUqU5RkW1TKJj6UsxJNcjZUM1ZPBWPuZeqS5k2qNzlbli1YJ2js0CTvmaQ0Ai0ZjNsmfDxqrx59gG3NozGkoGSw5hJWFfDcNZzP9tgI6w6yxwXx/JtWQXsbRfE0Iah1R/XYLQHYonqbs2XZ3Q3OfNKqdnmruVSWe1v3Su2Olc3TfgadIQUlwK5orgDAmoYBeHxVAE9db7Q15yaS84N3fd/NPO1gryWt6oOc9d82l86Z4n5Bfk0sX5dHO0Y3tr15E2bNU93uXLgbmmW0os+FXS0qoppimCdUM0JdLVhoB425J6JsRdFpt7SSuWqbkL3O0u4yHrqcXYyGSOVN0xBZMOtsupv/RvZl0xHT5nluwnIyNJcY9HOnsF204kREkesSuYR74TT3VHAAlrUnd0trmam2C9nvjIiISscZb7+6WWq+5IYAq3lsNZlAEFHhfDNp3jzD4pOToZlEOURjNw0viIjk+MNZ6sF0VAsuBZriaWWutFjSsUK1VYiTMxtdjZ9Mw9Moj3faMqgZTx9gdWBcX+klQEgZTsJiXaf2NwA1hhSmNVh1G2a3vN03FgDAfTxt5ZNqZbz55nF+1oLNeap5juqpygBZ3Z6nNI1pm/KCJeCMpJ9Er1etCLE7m/uyy266Gv+GSQFnlCdueVfvdBorg/X+eHMKEot/AMjy/D6rqrd1qsaQyjS2n9/bYfKZpYHbV7UORou9ycI1qqdZrixDxwyh08wlEWVO2VBVrSZtq7OpryXZ3Q1qyVGTyxiVdqk0ZEREZcRG6emZwZ7Hn/mrtFRG0VKSG9B2qhhS3LKhSYBFo3stWb97XsgQTovqo1qwzhaCUuuJiPgwcCSOt2u1lpARkXQqow2qubbA0jmb+lqSLYGoTsOCIQqdbmwJxESUtSPq1Locluufx8NRfjHazNx382ibZwgwB0OjACs4wLu78YngAO/txJoCQGGWmG1TLIOnSa6M9Pe+nCyVqIkocsmAWtWGpK11NvO1JDuIGCBKAoRbH9cCkZS89Sqf1hMRAGDd1sj+eOzUAylgn2gO6Dt1CDAHQ27zwxc/fGRgkiuZ8yxapd0dxDfvJ3BO2qqvBdk1sjoriChxny4XUiadUdMCvXXhfk4ikjpa2Jxqp59FuhhaiJzxBrx3MOTKZNsiQIsMiajctSPKKWmrvpZkZ9u2rFFvXZ8uTMe1tGVTsifC2gBzM7QQYLIgIqqP3BM8pc+V3LkM1RBIGhac9gpZ52tJtrQ8FrqMaXHWbdG2V9CGeGJ7QnUBIdwNLTwXyc8NgEvkvq9hK90CQ9DOeq9ih8fmkQO3Bo1+qWGVkHW+FmU3ex5uu3H9AoTpuJZ70K6PRGL7g5xNs8KQPVZLcCnFO/LXC3NlIhgPixDhpuFonZCVvoRt48FbGPY0L67HGuh3lDsaWhoI6iw+7omsMUlQ05oFGgsyKQuicuODGOuErPSle9Dsvchuk3+8Zj/nDkMf8/NN1V8e4qFuddvASa7YmrdTyEpfpzwNl886lMuNhWgaEb3H0McEGJrHI3jNb3Dt/EyrhKz0dYNwuv91KFXlvFNnv6HPCbDX8ad+32P87/T1I/mVP6H5zt/s9b8PbOc3Bph84yj0Tl8/kt84RHo+iN+YwTwfhA8wz6H4APMcig8wz6H4APMcig8wz6H4APMcig8wz6H4APMcig8wz6H4APMcig8wz6H8D5UwM2eYOsdrAAAAAElFTkSuQmCC"
A _ { 3 } = \widetilde { Z } ^ { 1 / 2 } A _ { 3 } ^ { R } ; ~ ~ ~ ~ A _ { \mu } = Z _ { 3 } ^ { 1 / 2 } A _ { \mu } ^ { R } ; ~ ~ ~ \mu = 0 , 1 , 2 ~ ~ ~ g = Z _ { 1 } g ^ { R }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAV0lEQVR4nGP8z4AfMBGQH1VANQUsKDzlUAYGpTRUFf+Rgct/DICqgMFFqRxNAaob7u6+y1CBagMjRnoQekfAF4IEvFnhgk+Bsqvy+w5CbkADgyGyRogCALa1RtutmhJCAAAAAElFTkSuQmCC"
^ 5
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAvUlEQVR4nO2UXxECIRDGwbEARqACRsAIGOGMABGuglYwghUwghUgwucDB3PLHHrOvTl8T8vO8tt/DBxsm3Yb73dABywC7qezuxyOt0Z4dNxVLhBZ5QEEabColxqZpS4KuDKfOFVUAQR8BAQxlMCWasCeDCDqZMjJ8YyTIVRzinOaYVVmnaP0ugqiEJT+aOYtIoBSetavLdh0CjKXuaKFagsjgGCG5g6+AOC1skY1HgEAWM2kJh7eP9UO+A/AG71qmIwDZxebAAAAAElFTkSuQmCC"
C = 1
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"
C ^ { ~ ( \mathrm { a n a l y t } ) } ( x , y ) = ( C _ { 0 } - C _ { \mathrm { e q } } ) \sum _ { n = 1 } ^ { \infin } \left ( \frac { \sin { ( \beta _ { n } b ) } } { N _ { n } ^ { 2 } \beta _ { n } } \frac { \cosh { ( \beta _ { n } ( x - a ) ) } } { \cosh { ( \beta _ { n } a } ) } \cdot \cos { ( \beta _ { n } y ) } \right ) + C _ { \mathrm { e q } } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAaElEQVR4nGP8z4AfMBGQH1VAOwXpe9AE/iOBM2f+72Yo/48CUBQICp6ZKfgOVQGKFauMXfekvV+9B6cV//+XMygxoFrCiJxgKlYLGgt2nBVUwmWCUtq7cnQ3oCi4+x/TF4yjaXLQKAAAeuabxFK7HBwAAAAASUVORK5CYII="
^ *
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"
x = 1 , 4 + 9 y = 1 1 0 x
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAyElEQVR4nKXTQRGDMBAF0E+nBrCAhViIhWKFSqAWKgEkEAuR0EogEraHNsPfsJMcmgsB/mxeWNIJ6uPSeN8OXGn+XL9XN3NCeOzAbVdP5BTYpBZYiooiopERvr6LAHfaRoOgDQZBGwyCNlgErmkRlMEiKAMR0jvPuFlEGLGdDUTYMRkGIiyHlpbIhPRARAhzaUhrJnis7vhiv0p+AIDevwqCGDtXBDF/Wu6JGQjUM7uCA+6VQIRHzDeddfTGfkhTXwnw+P9sNgMfVG9ZiV9UxSgAAAAASUVORK5CYII="
I _ { t }
"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"
H _ { 1 , 1 2 } = R _ { 1 1 } ^ { V } \frac { \partial u _ { 2 } } { \partial x _ { 1 } } + \underbrace { R _ { 1 2 } ^ { V } \frac { \partial u _ { 2 } } { \partial x _ { 2 } } + R _ { 2 1 } ^ { V } \frac { \partial u _ { 1 } } { \partial x _ { 1 } } } _ { \nabla \cdot \mathbf { u } = 0 } + R _ { 2 2 } ^ { V } \frac { \partial u _ { 1 } } { \partial x _ { 2 } } = R _ { 1 1 } ^ { V } \frac { \partial u _ { 2 } } { \partial x _ { 1 } } + R _ { 2 2 } ^ { V } \frac { \partial u _ { 1 } } { \partial x _ { 2 } } ,
"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"
0 = [ 0 _ { A } , 1 _ { A } ]
"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"
\Phi _ { B } ( \varphi ^ { \prime } ) = \Phi _ { A } ( - \varphi ^ { \prime } ) = 0
"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"
\Sigma _ { o f f } ( X ; P ) \simeq - i \left \{ f ( X ; P ) , ~ P ^ { 2 } - m ^ { 2 } - R e \Sigma _ { R } ( X ; P ) \right \} + i \tilde { \Gamma } ^ { ( p ) } ( X ; P ) ,
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M _ { i }
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"
x = \frac { 3 } { 8 }
"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"
{ D V R } ^ { * } > 3 . 3 5
"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"
\mathrm { ~ T ~ r ~ } _ { a p p } ( \mathrm { ~ u ~ n ~ i ~ a ~ x ~ i ~ a ~ l ~ } ) = \mathrm { ~ T ~ r ~ } _ { a p p } ( \mathrm { ~ p ~ l ~ a ~ n ~ a ~ r ~ } ) = 2 \times \mathrm { ~ T ~ r ~ } _ { a p p } ( \mathrm { ~ b ~ i ~ a ~ x ~ i ~ a ~ l ~ } )
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABLklEQVR4nO2VwXGDMBREnzNpQC3QAi2oBVogJSgl2CWgEqAEKMGUEJUAJWwOAlsi9uAZX3JgL5/PaJf9K2k4iffw8Sb/EPgXAp9pM1/mYN0ux3tLd66WThkqeu3BcZVamthtBAr+EjboqSXJmh9JUp5BCHZ/ACyAnT2wDXGg3BXo4pqSDkhDDJ56ZNfBAAWAJeQC3/5cfIVUYJxTYmlizV7CbRdqrlKDTdLKzay74yiX+CN1cXDxbpnsjnPu4PZkHjiYjJkkuRdOQbuaXmrchW6uDDDsZ7j9/hJihwXCmPF9SLu6iNXCbIAxGwEmSRUuNfs4xPW0t1RpiBjwA3ZMUnwSYt0NFhioEwcG1ztnaDMLT1CZSbrGG7FeJgemkeEVviZXNE2xLj0d/4VDAPgFGzmcALtGngQAAAAASUVORK5CYII="
d = 0
"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"
\begin{array} { r l } { \partial _ { t } \int _ { 0 } ^ { + \infin } \varphi ( s ) f ( x , s , t ; Y ) ~ d s } & { + \partial _ { x } \left ( c ( x ; Y ) \int _ { 0 } ^ { + \infin } \varphi ( s ) V ( s ) f ( x , s , t ; Y ) ~ d s \right ) } \\ & { = \frac { 1 } { 2 } \int _ { 0 } ^ { + \infin } \int _ { 0 } ^ { + \infin } ( \varphi ( \tilde { s } ^ { \prime } ) - \varphi ( s ) ) f ( x , s , t ; Y ) f ( x , s _ { \ast } , t ; Y ) ~ d s ~ d s _ { \ast } } \\ & { + \frac { \gamma \eta } { 2 } \partial _ { x } c ( x ; Y ) \int _ { 0 } ^ { + \infin } \int _ { 0 } ^ { + \infin } \varphi ^ { \prime } ( \tilde { s } ^ { \prime } ) V ( s _ { \ast } ) f ( x , s , t ; Y ) f ( x , s _ { \ast } , t ; Y ) ~ d s ~ d s _ { \ast } } \\ & { + \frac { \eta } { 2 } \int _ { 0 } ^ { + \infin } \int _ { 0 } ^ { + \infin } ( \varphi ( \tilde { s } ^ { \prime } ) - \varphi ( s ) ) f ( x , s , t ; Y ) \partial _ { x } f ( x , s _ { \ast } , t ; Y ) ~ d s ~ d s _ { \ast } } \\ & { + \frac { \gamma \eta ^ { 2 } } { 2 } \partial _ { x } c ( x ; Y ) \int _ { 0 } ^ { + \infin } \int _ { 0 } ^ { + \infin } \varphi ^ { \prime } ( \tilde { s } ^ { \prime } ) f ( x , s , t ) \partial _ { x } f ( x , s _ { \ast } , t ; Y ) ~ d s ~ d s _ { \ast } , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtElEQVR4nO2TwRHCIBBFH44NYAmxhFgClmANKUFasARroIRQgrSwJUgJeIgBNBjvjnthP+z+fbMzqMR6bL68/1iBDMrny50KOd9Ohw2+6tKxKyI9o2ec03Q+5TRlBl05mMpgAekOg8cEu7+8MJSQIIB2Im8MZmYYUxqvKd3uk1w4YACB/hMDgI8rkEB0TrJYjgAtlWiOMF1ZRMuBvtpa00G3Nhko6D2LAnuMWCuNCvX/FwA8AL02WPMNwXdjAAAAAElFTkSuQmCC"
^ { 1 \dag }
"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"
~ t _ { L } = 1 0 - x
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nNWTwRHCIBAAFzvAEtICloAlYAmxhLSQFmIJpoS0kJSAJcQSzodAIMPozxnvBbM7x35Qwuc5fOG/E8bzSSmlLhm4qmMmLGgAs/HHjef7JGE8MEuaHoyIiKSGB+hswwi23NCB3RbMgC83LEXCDVxTbgCmtGDdblGYMlekg1ZKoUjwoH04H2oJV+ibeKkkDNsD6Yk8YdaYdS9kCWuT8yhY6AI3BY9CStjzIKSE2dAWPAgx4a51L1IR3gneYb1UBWDyLXba40xwuApOgnbDWsMi6n9+1od5ASmprHN4nVv5AAAAAElFTkSuQmCC"
\nu
"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"
b _ { \ell }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAq0lEQVR4nN1SwRECIQzMOTZAC1wJtIAlnCWkBWqwBC1BS6AFKAFLgBLWj3NwkPGeOu4vZIfdTTKBPuOw0/9LQpznnnDcVGYpOxLRDBpYEQw7CuhQCUEHONX3USUuiyGyg0I1+chETz3mbMU8eQApyx5Uzky4wxuDpAUCK87KBiToALs+T8JFnZgKy5N8zzOWq5CiQt18LaRtFtekHX84k+WmlExu8Hs3+R3CC9TRnfPZlRx3AAAAAElFTkSuQmCC"
d _ { y }
"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"
A _ { R }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAY0lEQVR4nGP8z4AfMBGQp4ICFjhrzx6Gs/fuMTC47Mah4N5Zhnv3sBjxHxl0MDAwuKCI/GdA42IooIM3RxUMIQWoCWY3AwOD4DucKWp3hyADAwODy6ozWBWUYzeXcRBkPYIKABI4inMBA7raAAAAAElFTkSuQmCC"
^ 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABG0lEQVR4nIWTUZXCMBBFLxwMjIWuhCIhWOlKYCW0EqgEkNBIIBKoBCLh7UfaQgOB95eZm8ybOZON+KztlzxboP/dbx7qM0KSNEArSbq1XLXSAgyrwEPJwwj1R5MjZlOgzQlJksOpoPmFUoWlRPUR8JSB3dSE90DAzgXAQjq+PrQDCLjsZuyDVY3NHkJ+M/zExrpDBJB0h/Oq97u1kk400+gHuK2AYxpfxT0NKuTmLg6AmpA8RNyS6/8gjja15BPw7DG4zHMCbDlfnnL1NIcQwaeQH+MTYAk4eOi6Ofgyyh1DHkp9zaXfrf38SqSGfEclSWaSpIY3SzxlBkmqmhJwxUlq7VYCdLLq2NhVkjbvP2+8jLUzgALw0Nff/Q8SlC7jf71A/AAAAABJRU5ErkJggg=="
E _ { 0 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiElEQVR4nGP8z4AfMBGQH1VArAIWJPas1UqCSqGd98o73+9GiP6Hg1XG//8znNl9V6n8/0yEKJICpd3/7wr+/79b6T8yQHLDPReG1cYMDGdDcTlSkOHsamMGhrPGuBS4mOxRcmFg2IOqgAHFQsF3/9EBSjicVRLECAcUBfeU7mEoYBxNk4NGAQBVrmpJvg9fqwAAAABJRU5ErkJggg=="
q r
"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"
\begin{array} { r } { \Delta Q _ { s } = \frac { Q _ { s } ^ { \prime } - Q _ { s } } { Q _ { s } } , } \end{array}
"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"
\approx 1 . 6 5 T _ { e } / e
"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"
- 1 . 5 7
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAGRUlEQVR4nO2b25WjOBRFN7MmAXUImhCoEOQQ1CFQIeAQXCFACCYECMGEYEIwIWg+BEY8bFMYuby6OT9VMkjiHl3dlyAwbPCJf376Af50bAR7xkawZ2wEe8ZGsGdsBHvGRrBnbAR7hgeCd0EQBEHwa7ev1h/8HREEQeq29r2L62dyH6WUUFVAfFh99DdEAPLstM7SvWpWBxyNMcYcFUTrD/92OCNDEqfVu7q+iSghBEDnEWmx+vhvh4ow4qtrqd5VHwTLdoscBNnq478dCmQkquLaCntX1ye46mYQEX+FBis6FS69E1zS2fiQvyCQKFFEFEXb6hP87+rzFY4REs8Pt78aHMr6AFUaXkctZATdT3Wp1HgA36irEGSUfimAqh4+wto+9eQOmT8//vBhc7et2lkaxM/OtgA5sTHmBCdjjEmGz7C6BveMfPn8eDGUBYC2mixjyKrmSvdTWRAJfkCBKZBAqIo0oeeBGixYs2g0iYqS7qIT+8aES5RigBPQC6lt+pK49xwbbfaBu/IabVU3h7MxRnHud15CcDy1kOHJXpQcujvlOpmGVYrLtX2xUrq36D7fq+KuvEaK9iFjYwxi0HlJqlzsOIQAOyINUFVZhThJoP7FKXRuPOrvjz9C+glw6AT9nQFuSlr/EpcVJprGPXmp/lN585DiLIqdPg56L1jRHHJjjDGdV7lEoI0x5uiOqAZp41JY7hxrY4Vw3MnBZ1J+T15zvP4mOZjDyM+uFAeLRJLV2KCwRVowubu+P3oEUHYu0/7nlLBSxobSJ67yOnFvTDpKlCfj4LKsKEFI6grqcp4R0V+UqhdnF5/olcTWKUCatG1LbZ219qeowqHzno+n5HU0Su+rYpgoMzYRycM7praMMYl1651zjyG8jPouhAQQ7XDHtpzUXo6Wu7gn5TWOFYzR46hpoMH17wJA0RR056MCCaXtW9ZFVqGTFTI5i2gP1FmzITLitACyyrq5OmOhL31W3iYKtojTbKzA/fW6hCCTXiR3yu+t6PH6o4ZzL6KRa8ZNtp6t2oY01lo0EWGy1MU9La+JXa8W48aoFn2C9awSuTPh9WkSK36zgELFx1u9l8FqqKUiJjYXAbTbM2TMytxRn5PXSJfgc5Mvu+gRnDtm7VsTniIQo7Hn46KVvm+v3cBMcm7Tq9yY8SHCbLxC3h7BmmGi92jCUCmlQgCxUIksDg9F7TQ2R5le/hwvLfK8Qt4ewcxL6J0JW6jDkwFD9GizWut+NNeQwYp5McaIWTRN4BXyuolGwYQTvI9QKSVBhPGTAUMSke7u+XFrEjKoU5t3aIA6g6zW8k7H23iJvI/KlVVV3UsWDgoo9uVXmd+5y8WuFiDHjydEXXzo+CZVMiyBrBZtSBbtAdKIYYy2/5L5MsbxIK9rIm70ubdl7N9LOP+A/kHJVt40p21gFrae2hJxOg8LWMwtvL9E3lVqESIXpKucH4fRzYxBC4C0LNus2C5Vlg3LECG+C+/fkXdgIqLR3q3nJDgi+c1+XjIVhuGk+ar2NSq+w4zQKVDtrwZBywpIxZDgPA1nE+xf3oGJmLW3pgJv5WY5C3ASPKontDv66r+btHHxUcZL5HVNhGD5KbvmqXdM6l1N8qD0pqzn6pQuuk69DK+R12VbfDvw7qJt4Z7pfBt6IosfwR7FOYqjwamxfR+vkLfn5DTsJ9Zg5SWdQpTnj2vzEYB0FFZB6/yuSHdBEADsP4IgoN5/7P779VlPDvgSeV22z2JW+HGEQ57neT6oj87J65+CZmA1BaPyyvmorFCnYwgXdTDGRDcOt18hbz/qSwD1MMl2dK2bMGd0oLo6jgz2dMxEnef6tksO6mSMMZdbHukF8vbDtIhPikKGbSJUAsXoCMXZbz0nUVeLE6h50LLqZ8X668FZnLQVCygnXeEr5B0u/7jPnHV6Ec75wLFMlMd7GtworroZj3mXd1iLUOe0KKZdwhtADul4VKx5WJLxLu+42BNF1M47ZfUK75e9NTzLO1lNE26qucarOW8On/Ju38l5xkawZ2wEe8bfQfAPfinyBxJc0HzyU9B85FRUlD/G8bph9c+jCQjy9p/4Wkf+mefx8K3yBhd/oIl4L2wEe8ZGsGdsBHvGRrBnbAR7xkawZ2wEe8ZGsGf8D1WMV0GzCMnXAAAAAElFTkSuQmCC"
\breve \in \mathbb { R } ^ { D } \rarr \mathbf { W _ { \mathrm { i n } } } \breve \in \mathbb { R } ^ { N }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAw0lEQVR4nM3TQRGDQAyF4Z9ODawFLMQCFtBCLVRCkQAWVkKRABK2EraH0pKkO3DpoTllNm/Ixw5Umf06Hcx/EDhv7YXp1QitbMdZ1RwAmfVRNoFcA3ZuAwmo7TwbZASavbeYAHEBs0K+CcZQIhhDiWAMUymgVwiQ/AoVSID4uTYUCdpQvAVtaEoEbSgSlMETojdER+h9wF1TDB5pCSkMDjkA3Wd+l7B274/2cQViXwMsyzLSmnvomoCr2/qE6g9+vcPAE3WfUw0YdVksAAAAAElFTkSuQmCC"
L
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAADBUlEQVR4nO2YwZHrKBiEv7e1CZACGwIbAg5BE4ImBBGCHIIJwYQgQhAhiBBECLyDbEtisHd2Ljo898GlKjff32ojUeVfmT9bfx0d4Gi9Czg6wNF6F3B0gKP1LuDoAEfrXcDRAY7WrgBjvrnKAtYEQnxhgI/I3fI99H9xf4gtudtV2wIcuOeQf8Pj0jTwSX9C2XpS0wBEL7lZXqFXcJVbzP02toiz4e5X5VVDzkN+qvFx1Q05DzpnppybmrVbMNfly6ZA62fgOnc/9ym2pBZxttzdfT52QLJGfTr1WWv0bA3OkaxJxoDTcG5ICBAevDGANSYtVpwGvDljIiA8zkW8rXI34JJbm7vDehexoaRW42y48Xw6+Yf7UYBIyYpgRQCwp0ULPLhWEBMiYWXAS4g+GiMWoPW9C5jYi/Ni9RI4u55On5akjTRW6zJpcK1gBZfc2tw9VieHKguoxtlyQ9up5mH/e40jug+uHw1A226RMtmWoCFwsWoxq/72RIZoZgYZ7UwKixUg2ilFRQQI0P7TaADrIJygV3fuHrzhVucWWJmg3VPrcbbcBteoSgFuwo/4C4C/bZFWAojrhxa+BzcIfwNKcBcA4RRInIaoFyuAVXiNW9azRAUaCaaDlcsOvOFW5xZY6aIsqPU4O24Q6/2vj4BXMkgZJF+UvGpsFAKvNF4hEwiBX35TlYAIkuDb5FVjFwMExbkHUOA6RwKE1lporcWdywouuPW5e6zENiW1HmfDDU6l9R3wOAW6Lvddvsjpy0t0UIOeBnnNXZdHhpz1nCd1beecc26mSbTdmCd1bcbFmrOe86x71TWXxdKpMcu2PAUW8wa851bn7rA5j2IqqfU4G+6stLish8z2GHyiefOZc8557HLOU3k5raaxy2u4sSt4lx13Ay649bk77HD9Qn0WZxdmc9p/o4Cvutznzv1zw63lZ5afcAvspf0m+xX3RwXk+8abXxim6bXlJ9w9dhqf2P4P99f7X+E/XO8Cjg5wtN4FHB3gaL0LODrA0XoXcHSAo/Ubbs0DO6YB1vkAAAAASUVORK5CYII="
\hat { m } = s i n ( \theta ) c o s ( \phi ) \hat { x } + s i n ( \theta ) s i n ( \phi ) \hat { y } + c o s ( \theta ) \hat { z }
"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"
( x _ { n } ) , ( y _ { n } ) \in 2 ^ { \mathbb { N } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkElEQVR4nO1SQRHDMAxTeyXgQQiFUAiFDkIGYaEwCKVQCimEhcIgpBC0zx52e9l+e0U/y7Jk33kgvmP80e+CD6ZDvW0SfNvhcUnYr8lwVFgQSdZZc0YQkEmuT82ZCI8CYPbNCC7iQzYM9RUlvWKAnTcO4ipP0DvsTgCg3FoOkEzWuzNXaMHqACDanKE/7b8Eb8C/uTdZuVwlAAAAAElFTkSuQmCC"
\varepsilon
"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"
O _ { 1 }
"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"
\begin{array} { r } { \sum _ { \alpha = 1 , 2 } \nabla \phi _ { \alpha } \otimes \frac { \partial \hat { \Psi } _ { \alpha } ^ { \mathrm { I } } } { \partial \nabla \phi _ { \alpha } } = \rho \kappa \varepsilon \nabla \phi \otimes \nabla \phi . } \end{array}
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\begin{array} { r l } { r ( \Omega ) } & { { } \simeq \frac { \gamma _ { 1 } - \gamma _ { 2 } + i \Omega } { \gamma _ { 1 } + \gamma _ { 2 } - i \Omega } , } \end{array}
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"
\begin{array} { r l } { \mathbb { E } [ \mathsf { T O C } ( \operatorname* { m i n } \{ T _ { \varepsilon } , n \} ) ] \leq ~ } & { \mathcal { O } \left ( n \log _ { p / q } ( n ) ~ \left ( \frac { \sigma _ { f } ^ { 2 } } { \varepsilon ^ { 4 } } ~ n ^ { 4 \log _ { q / p } \gamma } + \frac { \sigma _ { g } ^ { 2 } } { \varepsilon ^ { 2 } } ~ n ^ { 2 \log _ { q / p } \gamma } \right ) \right ) . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiUlEQVR4nO2SURHCMBBEXxkMxEIsxEIsVAMSiIRawAsSiISehFbC8gVt0zZ8wB/dr53bN3tzM9eIuk4f8n8BzpNN+eVCNyP0VvuQbvRSd52Gmq8IYHgIns2GXlKMkoZhu8ED5gHn9q8wR6ElcCfWAcN/CeTVhrIh1IHRVvkCSBdyGgugOb76R8ATI6NMmwrbw4oAAAAASUVORK5CYII="
T
"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"
1 = 1 ^ { 2 }
"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"
n _ { i } \in \{ 0 , 1 \}
"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"
\begin{array} { r l } & { - 2 x _ { 1 } \left ( \frac { c _ { 3 } - c _ { 2 } y _ { 3 } } { c _ { 1 } } \right ) + \left ( \frac { c _ { 3 } - c _ { 2 } y _ { 3 } } { c _ { 1 } } \right ) ^ { 2 } - 2 y _ { 1 } y _ { 3 } + y _ { 3 } ^ { 2 } = c _ { 4 } } \\ & { - \frac { 2 x _ { 1 } c _ { 3 } } { c _ { 1 } } + \left ( \frac { 2 x _ { 1 } c _ { 2 } } { c _ { 1 } } \right ) y _ { 3 } + \frac { c _ { 3 } ^ { 2 } } { c _ { 1 } ^ { 2 } } - \left ( \frac { 2 c _ { 2 } c _ { 3 } } { c _ { 1 } ^ { 2 } } \right ) y _ { 3 } + \left ( \frac { c _ { 2 } ^ { 2 } } { c _ { 1 } ^ { 2 } } \right ) y _ { 3 } ^ { 2 } - 2 y _ { 1 } y _ { 3 } + y _ { 3 } ^ { 2 } = c _ { 4 } } \\ & { \left ( \frac { c _ { 2 } ^ { 2 } } { c _ { 1 } ^ { 2 } } + 1 \right ) y _ { 3 } ^ { 2 } + \left ( \frac { 2 x _ { 1 } c _ { 2 } } { c _ { 1 } } - \frac { 2 c _ { 2 } c _ { 3 } } { c _ { 1 } ^ { 2 } } - 2 y _ { 1 } \right ) y _ { 3 } - \frac { 2 x _ { 1 } c _ { 3 } } { c _ { 1 } } + \frac { c _ { 3 } ^ { 2 } } { c _ { 1 } ^ { 2 } } - c _ { 4 } = 0 } \\ & { c _ { 5 } y _ { 3 } ^ { 2 } + c _ { 6 } y _ { 3 } + c _ { 7 } = 0 } \end{array}
"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"
E _ { \phi s } = E _ { \phi s } ^ { \mathrm { f u l l } } - E _ { \phi s } ^ { \mathrm { s e l f } }
"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"
R = \frac { b e ^ { ( 1 - R ) G _ { r 0 } } } { 1 + b - R } ,