image unknown | text string |
|---|---|
"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" | + 3 C u S O _ { 4 } = A L ( S O _ { 4 } ) _ { 3 } + 3 C u |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nLWSXRGDMBCEl04NnIVYwAKVQCXEApWAhVhoJIAEkAASgoTtQyfkmLm2L/Sedva+yf2lIr7H5Uf+dCA+VgDx4FHFE5CedEF5B6D2qUPTSvoEhIkcnBu0V526h0f1jrse46r0Bi8Axhh9MMdsMJEkB0FnTgHJ0+zqAExospRiqyZH1FnWxVXAqn0LmE2gFEtwu3ZWD+qBdbVKjHBZRrRGiRb5ismhHLQAgvwNfFmIAhbUe14WAwjwJJmCg0wlz/2aM8YbsM2A78Xaw9uUplfPk2d/uT8BL78gXk5g/W/JAAAAAElFTkSuQmCC" | \tilde \mathcal { D } |
"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" | \left [ \begin{array} { l l } { \frac { \Delta x } { 2 } \frac { 2 } { c \Delta t } + \frac { \mu } { 2 } + \frac { \Sigma \Delta x } { 2 } } & { \mu ( \frac { 1 } { 2 } - e ^ { - i \omega } ) } \\ { \mu ( e ^ { i \omega } - \frac { 1 } { 2 } ) } & { \frac { \Delta x } { 2 } \frac { 2 } { c \Delta t } + \frac { \mu } { 2 } + \frac { \Sigma \Delta x } { 2 } } \end{array} \right ] \theta \left [ \begin{array} { l } { a } \\ { b } \end{array} \right ] = \frac { \Delta x } { 2 } \frac { 2 } { v \Delta t } \left [ \begin{array} { l } { c } \\ { d } \end{array} \right ] |
"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" | \frac { 9 8 0 } { 3 9 . 5 } \approx 2 4 . 8 1 \approx 2 5 k m / h |
"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" | \begin{array} { r l } { h ^ { \prime } ( x ) } & { = f ( x ^ { 2 } - x ) + \int _ { 0 } ^ { x } 2 x f _ { x } ( x ^ { 2 } - a ) ~ d a } \\ & { = f ( x ^ { 2 } - x ) - 2 x \int _ { 0 } ^ { x } \frac { d } { d a } ( f ( x ^ { 2 } - a ) ) ~ d a } \\ & { = f ( x ^ { 2 } - x ) - 2 x ( f ( x ^ { 2 } - x ) - f ( x ^ { 2 } ) ) } \\ & { = ( 1 - 2 x ) f ( x ^ { 2 } - x ) + 2 x f ( x ^ { 2 } ) . } \end{array} |
"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" | \left ( \frac { \dot { a _ { 0 } } } { a _ { 0 } } \right ) ^ { 2 } + \frac { \ddot { a _ { 0 } } } { a _ { 0 } } = \frac { 1 } { 5 7 6 M ^ { 6 } } \left [ v _ { b } b _ { 0 } ( \rho - 3 p ) - \rho ( \rho + 3 p ) \right ] |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABAElEQVR4nO2UzXGEMAxGnzNpwCnBlOCU4BZogZQAJWRL2JSQLQGXgEtYlwAlKIcY4tnsj4Hr6oI10veQZI2VsM9eduqfgK2A+JE5strGVmeq9RWc3v2U+2v//+0GyVVqyyYq/lRzC92b6jhVqoorYQnQ6SPhK/RtPCwhr3K7Wc1vMZOOlak/QZnzHJpCnuhutLCMo8eKiGAKBsm1a/Q0QMBsmwEEaiBiV87gdQFYDXjqJWTaohJSKwNORM7UJcuEzs7pe8SMMlg7Fuh7GP4BGhrjaAr0zgJol9x5lSs9FI79wtItTNHez3sE8Oh9gHA/6zHAtPhtgE3vwZUKnoA99gMQZII2abbtOAAAAABJRU5ErkJggg==" | p = 1 |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADwElEQVR4nO1Y7XHkIAx9yaQBWiAlcCXgEnwlcCWwJeyWsC7BLgGXYJdgl4BL0P3AH2DA651M5i6ZvD/JsNJ7Ehay8Avhe+P1Xwfw2fhJ8KvjUxNs2pOG/VnDDdOt+FVUWaWV8bkEL0VRFKP/zwGa98t0knf6U/RPBYL+fbyKlmeVNkZ6BpYDAxERlWDdsa2GfoJZ4f5UIEwSWX2kNDMeJdjpUkoppdyWNOTyz4OANK7n46VnM9SoHyo5xoME9fq8t7XrnKDl4jiCAfLYIIKYa+MU2GacVxIYjhJU4FezL0Mzs2mY4wjKRwYRBqjTtjXYCaUByiVoSnElolpw71kbcBv7GPc4LSvj36wWoqzvpePm66rUloiok2ECkerpR2gUAwBBoVKa8Q24tLyfNKpG3qqtLCtolu1ht+karVUXrsrmN6TzLuduVvC+ZRpA0yrfPFYVfaO930N2X4+XU6MlGAKlHCNZTR0YkSLyq5kl97MDiGhgcdvq3BMXrqOJpQno+9LkyqCLJFQ1/LLYbV8oJrayXJUyjCBaT9bgtVubeYEARKQS1cudpnR/4B2MOTOG3YHeq5qt2B7BC85XSjG+AcAIAQD9+rQBBrxs2xfuZl/do+ptRiEdh5zraDOHADBOTIQuseqDyWFFC59qU0oxvnnElQxCkDn+i1TRWg8FAP20UKyy48gFgDbi26tm9SKEXH6CMeObi04CaNvOc2PcpNnHsU380jqdJg5zjqbxAnFIqW44aDIYI64DRiIigY7Ihp1Dppu2hOGp99V8FNh85LEdOIWaiAZEr6u9anjsd7EHnv5x9pSSjHBGRFSGs8k1PUpKKJbK3MWvl1GVbem4aGTctPaqp5tM573mfaUk4ytc6U7FGBaeZrdb8jJQKa8++sIvpb4X4KgAiLVhTBM4cOGMA5XvEKn22HWhHALDTSnD6DLXXOw7f8cAvh+2SYbbbJbNlCiNFhbMKGGDAR/QplQW3JTCc4hV1dnxXPnF5V8lUoyYo05wD3ppGN6iP8bTNpvSwABpSQHKUlBudwCaSADaeg6xanq0SED4MfiFnWJ0o2Vi6jyHep2QrRmIiMywaK1HozOWiKyxocNetUZivk3BAr6np5RifO7CG6Fkmb3pWPoSk3XIte0Yu53IKc2MH0vQ5K/19+SJyjucvyDvr8ZppYXxYwke1XbyQ0LW4fwHjnt0wU37zqsfLNEj1JzXj62IiMicNrWuVz1UWhlfPvPTfcNOzpf9dHoQHZNTWqS0Mn5qgv8Dfr5sf3V8+wT/AqRVxJ/3e1UdAAAAAElFTkSuQmCC" | v \in V , a ( u , v ) = f ( v ) |
"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" | f ( t ) \equiv { \frac { | x _ { c } - x _ { 0 } | } { \sqrt { 4 \pi D t ^ { 3 } } } } \exp \left ( - { \frac { ( x _ { c } - x _ { 0 } ) ^ { 2 } } { 4 D t } } \right ) . |
"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" | \Delta \lambda |
"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" | \begin{array} { r } { \frac { d \vec { M } } { d t } = \gamma \vec { M } \times \vec { H } _ { \mathrm { e f f } } - \frac { \alpha } { M _ { \mathrm { s } } } \left ( \vec { M } \times \frac { d \vec { M } } { d t } \right ) + } \\ { \frac { \gamma a _ { \mathrm { J } } } { M _ { \mathrm { s } } } \left ( \vec { M } \times \left ( \vec { M } \times \vec { p } \right ) \right ) - \gamma b _ { \mathrm { J } } \left ( \vec { M } \times \vec { p } \right ) , } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAaUlEQVR4nGP8z4AfMBGQH1VArAIWVG7FHuM9DHdxK6h4f4bhrAmqnv/IQOn///+7jVGEUN0QysDwPt0YryPvuTIo4bPC2HiVy24UIUbUBPNekAFNBM0KQYY9qE7ADKizaAoYR9PkoFEAAKDoSpzPBok8AAAAAElFTkSuQmCC" | q |
"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" | \mathcal { L } _ { h i g h } \sim \mathrm { T r } [ - \frac { \lambda _ { 2 } } { 3 } \hat { F } _ { \mu \nu } ^ { 2 } - \lambda _ { 3 } ( \hat { D } _ { \mu } \Phi ) ^ { 2 } + \frac { \lambda _ { 4 } } { 4 } ( \eta ^ { 2 } + \Phi ^ { 2 } ) ^ { 2 } ] , |
"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" | ( x ^ { 2 } + y ^ { 2 } ) |
"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" | \begin{array} { r l r } { \frac { ( P _ { s } - P _ { 0 } ) } { \rho _ { s } ^ { o } } - \frac { ( P _ { l } - P _ { 0 } ) } { \rho _ { l } ^ { o } } = } & { } & { \frac { q _ { m } ( T _ { m } - T ) } { T _ { m } } } \\ & { } & { - \frac { c _ { l } ^ { p } - c _ { s } ^ { p } } { 2 T _ { m } } ( T _ { m } - T ) ^ { 2 } - \frac { 1 } { 2 \rho _ { l } ^ { o } K _ { l } } ( P _ { l } - P _ { 0 } ) ^ { 2 } + \frac { 1 } { 2 \rho _ { s } ^ { o } K _ { s } } ( P _ { s } - P _ { 0 } ) ^ { 2 } } \\ & { } & { - \frac { \alpha _ { l } } { \rho _ { l } ^ { o } } ( T _ { m } - T ) ( P _ { l } - P _ { 0 } ) + \frac { \alpha _ { s } } { \rho _ { s } ^ { o } } ( T _ { m } - T ) ( P _ { s } - P _ { 0 } ) . } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAhElEQVR4nGP8z4AfMBGQHykKWFB4q/fce6+klKaELPYfAc4YQ8VmIgkiKTgjCNfVgVWBC5K5d7Eo2I1scTlcGOGLPcgKzmLx5llCCgSRFRhjUYDieSUsCpA9gWQCdm8KviMQUKuwBtT/M1AzlHYjCTKipOo9e84yGBuHIgsxjiZ74hQAACmgo8xfZbONAAAAAElFTkSuQmCC" | \bullet |
"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" | 1 0 \times 1 0 |
"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" | 7 3 ~ \% |
"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" | L _ { \mathrm { ~ f ~ } } |
"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" | \begin{array} { r l } { e _ { 1 } } & { : \mathrm { ( i n p u t ) } \rarr v _ { 1 } , } \\ { e _ { 2 } } & { : v _ { 1 } \rarr v _ { 2 } , } \\ { e _ { 3 } } & { : v _ { 2 } \rarr v _ { 3 } , } \\ { e _ { 4 } } & { : v _ { 3 } \rarr v _ { 4 } , } \\ { e _ { 5 } } & { : v _ { 4 } \rarr v _ { 1 } , } \\ { e _ { 6 } } & { : v _ { 3 } \rarr \mathrm { ( o u t p u t ) } . } \end{array} |
"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" | \boldsymbol { r } _ { 1 } , \dots , \boldsymbol { r } _ { n } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABMElEQVR4nIVTW5XEIBTL4YwBLLASsMBKwEJHAisBC1MLlUAlFAlUApWQ/eiDR2d2+WkvSdNwSECS5MuxW9lmkiR2fOhxcjH5IgTbgansgmRWucUNHEk6fxCGzkAABpLMKpEgg+wE6IZ8PEmQ5naCywoSwYTlE4F2IOjUR5weWWAyaFcsrwaTiKtu4J/v6Ws8By3jY4aq8acKwFOdqnoWG2qFUToAmM9ZrY8IWfBtXACsZUNCNAZGu39f+X40BAcAcasJrQJuAu8IsbH9v4Lu8cbCBiHLod8IrEqY+tg3C7MRWsWWUCtE6Nt1L0Bz3bfAeJguMF3kLMq4R+4KbQ4kM5AuwhHaI/ZJwpMOpWRn7I/ieODFRerSgas4e8mStMFLV/BSvaO8yTtf/t+U96/6/wJVpR46BIvpSwAAAABJRU5ErkJggg==" | ( j ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAAA6ElEQVR4nO2T23GDMBBFDxk3oBbUwrYgl+CUQC20QAukhZSASrBKgBI2HxnsJegxGX/Z4/2BZc/cq72DOqVeH435G3h+YP3sztu75ircB132h+kArVkE6KsWyzhr1aK5halT7mOK0ZfPMHiAsLVHC7k4QCgqqE7AVFYAB/jaFqu1yAERAg3AV4HUANZkt8wAkTbgXQ3YHaEAiGmPSWOCzkUdaVjsl8gAyQZdUJD/AIctZnC2vyl8p9/nl7kzVkFgVFVdHH7ZpXJPx11VtcfNmgMEkHEIyH5+A3S8OJB+0j/1+N18A68E/AAbGy0Ra4mdxwAAAABJRU5ErkJggg==" | j |
"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" | \mu ( \vec { { r } _ { 1 } } , \vec { { r } _ { 2 } } ) = W \left ( \vec { { r } _ { 1 } } , \vec { { r } _ { 2 } } \right ) / \sqrt { I ( \vec { { r } _ { 1 } } ) I ( \vec { { r } _ { 2 } } ) } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAELUlEQVR4nO1a7W2EOBB9WaUBt+CU4CvBWwJbginBlMCWACVACaYEXAKUgEvw/eDDmK+FTU7cSjwpEibgeY8Zz4ydfFl8Nm5nE/gtLgFn4xJwNi4BZ+MScDYuAWfjEnA2vs8msBcmYsKN0qIG5QIA7CegUZJAuiGjylrFWGntR4TQ18+T0NH4USsOcGUe5kM8YK3lzgNJf5lAfoYHJkjB2guK9BOzkNEg7RWHKT5QgEbvAQD6GwDqXBswFmy8lGvQcR57D2kd+zdyrbcNL3FB7wEA5gaY6KegjDwfP+nKK8X9boRk+T/1QcI+6jDU/rw/EZWSRD/FkWmMP7ANY5W11lYMEIsJQKJ9wsb83RxSKRUHALwJMrDGWmsbhuTlDC4LSZc6AQ4bsG7UEIyKhYNwdlC+w741ymTsC6gIqu4K5OXEawK+i7zqvEHiEE/Opx5LU2QEALSeuO8A4hjAJFAiE3TViYo0UgB0NHtRvFgf7DuluejWhAiBfCrARBCtHdr9/BHqHIMtnhaaAYTNnlowOLlFAObcBDp1nXBxo6R6I3oclBdCEhimK5eDdwwXQsq9CCQA3Jhj1lo0ANmeWWSTG6Wolp/0BbCxrdFXXMGolRgIV0B1oyPPEcyQArNV4UM//Oyr7/n2C/1zm8MtBP3DGpTesoBnPXEz16C7mFufX7FwrEDfofaslFnq318LRP9sAemHDOaVgACxLTnlhK3lai+Nl2Q9I3ohpOCHELbXV0kRDJEpW4MlhLVjAcl8mgaAylhprY3BVqiNFGzx9wUkngAOxOvsXRDLXoFQSkJaXwAHgrlNZG0ds/FquRkUbPL3BcipgFdpyLeYSBlX1noCMnQl17cJ3n9eupoqOgXb/P9SgINrp00Eki3kIdR9ExpAr7R7RLEwhb5DzUvRfwwnIKzJcvoYIpAAa/0qUSyMzuDvBDxztmJ+8AoD9FozRBR7HuLv+/pAFZigF5BGi/xnIbVqqa5hjtDwjZnpjd3oBBQhV0vxv3tWfZ9WtKNYMr8DrQD9EIv8d7ef+g7FDymYNSi/8YC+B0k3/nplZxFt/iGHFFBg2KEagP7CAyYc+BdTwuPvYrAiqM+fhxQEIwF675ea4waYO+v5Q/chU3TpJiBu3Wpg8VzC5f8jCoJRRqjfFwBr+dDAlYq29bCiQ9sggb48B8t7Yq/+bm3Q/f2A5a5xCeYbqb2A9T+q6ln3sze0L/Ir26ZJ/7ChQPnbFgW3qX/Ri24JkL5DWi4xXGNdkpZRw5ZPXab9T8MW/NQopWIGQGRK9b9O3HHHm42QtbN/tuluC/ChrysphFIxWbEip3QbOW0J26YQIG2gD3GUEJZZmzHy+lhoFV97/l8oLWpDefCHRxIdTPuXlt/MvEvA/xkfeDrt4xJwNi4BZ+MScDYuAWfjEnA2LgFn4+MF/AsblKqpHwyG7wAAAABJRU5ErkJggg==" | 2 . 6 \times 1 0 ^ { - 1 0 } |
"iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAIAAADYhJDNAAAagklEQVR4nGV72XtU2ZFnRJxz7s1FS6IdIQRCUAaqKKiNMl3+Zj53e/w0nnmY/jP9Pv7G3dUet7vHY7tchmYrdhASSAitudx7z4mIeYjMq6QmPx5SmTfPEssvIn4R4Mb9fxMRVSUiAFBVVUVE772IMDMRee+ZOaWEiEiBORIRoKZUee9DCCklEAQAAGTmLAspJUQNIQgoEalqSklEEJHIq6oKOOcQEQCKcoCIIkkVWQEAWnkjccyyrCpjSuCcE6mcB1VlZoQsz/N+dRyCc0KqCgAiYucPIVdVRUgpeReISMnZ1swRERUkxui9R8SUUuZ8CMEumFJqNpt2cVsWUe3idgtEVNUYo3MupeScAwD7NqVERAysqiKgqh6HIsXRS1lExHvvnAMUAFCAqqpMyCNFeGa2lWvVeO+Hd0c0oZmm7F4AIInzPLdPnHP2MBACSBR2zjnnmFVEAjlEFBEiIiJEBFFVJQdE5JxjZlFXn9zXO9lmth8AlGVp65rpmCCcc2UViUxVyVapqgoAlCGEAIC2oH3FzIpQC1FHLyJSABO97WK7q4KIhBCKomg08xgjEXkPtpcIqIqpTSQRUYyRfM6JzT6yLHPOidh5hxcmIgZljkSeiGKqnHMhBCKyX9X6s2OY+onI3ANAagnUVxtXkj1sukREZAWqpXhydxkdy55HRB0dcqin0YLjW5gua3u17er39qa+bH1IO4yIIBKAIiIAqaKq2IL1D4f7Dr1raJGqikSIzt57VhEVUamN094oAqukxPWxRCQJ53krpSqlxJK8J+YoAlmWUXDkfEqiAGbstl1Myc4/driE6FiUhYlIWZxz3vui6O/t7b96vTk1NbV+fj1WyXlCNKNjIhJhVXHOEaGCmEarKiFio9UuigKdT+YcOFRJTJUhIqqIJOcphGAnQURC5whAMUVOHO2m9m2MEQCazWZVFeOeU2t63KNM4gTDC6IAKaoCjBlKrUgz3BNHGi1oqlGFGhR/tKn9dtwshshkJuVIDQ7wR6bsEBTRiSgAAZg1DK3fMIJVENEhiSRRRESHSqS2gzcLrT2pNsMsy0xSdm27VUqpGBw6h3meIwFzDGHocN75lFJVJSJwRM45O00IuUGUmXN9K5GkCvbePmTmfr//+PHjd+/e//Srn167di0DQVRmDVngJLVcTAQVJ1UI6FJKVRmDz0CRk6AndGCuWXsMIrIyClhEGApasV7NfN2OwcxZlsEI52oHHQceVa2tzXBxGHq8Q0RVHILlGCQAgMrwsoYNAKBj1lBr3yKgnafWSy0lezOEojHgMTnbHydSBQUlYR2uj4goFmTHhUkEiIqIhFQHFgACgBOrrDeuJWWXrAVkh3j37t3Gxsbh4aGIlGXZ6w2YOc9zGB3LggirJGFWGQs6OgJMARDnEFHtHzNXVUXkO53O6dOnB4PBb/7nb7/959/FKmVZRgQpVc4574L3mQVp7wIoEjr0odGeUHIUsiImChmRj1UqBqWwWtRHVADxCB6BFJAhoA/oUVRHQcq7oALC6shzEmEV1qqqxv3H7MDeWBLmyTkkAnRI3nvvPaIzydY/qSWjqgLKKqwioCyQWEdGTKojM/owjtTWcGJVYyqj0atWNgAIqMAQTuwwAIToakt1HpGU3NAsLPYpguIwYIkk+6fK/sTAx2RRO0edo9i3AJBS9eTJk3v37s3OzSwsLHQ6HRHwPiN0AGDmJCKA6FxARGGzTSfAIobwDtHCan0rJaIQwuTE1M2bN5vN9l//dPvu3Xs/ubx26aMLliwb8gNqVXExiM1m0/k8xtjv9S1lybJscnJSRSk47xGgAgCVE4A3VCMi5yxt+iD2q+V3AJYbAYD3PkZlVudw3AFglJbBKDmwK9sVyliNq7nexRRZB/vag8dxYtxEakT/0bf1MzWe1eZoZxj/XETAWaIzwkhJMMxIEqK3O3nvAUSFYZQgjzZFRPSqbEIct80aasavSgTOuYXlxaTy9OnTh4+ePn3+amJiYn5+/vr16xPNhq07LHzQKWCMsb6wpb6AigiIJJKcc8zDKEboYoqq2m63r1+/fvnix0dHRyETS7BNI0RelQ/2jzdfbzcazdW18/v7R2+2tre2tqqqarVat27d6nQ6VRLnAjosqyIIh2DJPKoCM1u8Z+Zer7e/f2iWZ5INIcQYY4xZlmVZNjc3h4gs7L0fd+saUE1QFk3q1MTTSSWC+oG+x0FlPLSNA8D4FvVj4zAWhYc6AlDQ2nbch4mPbcTMoIw4tGYiJCIQERnuwsyg4L0HJFVxLk8pARCimYEAoB+d6YO6UVW73a73Ps9z07qIeE+I6hxevLQ+P7/4Zmt7Z2f3zp07jx89bzUnbnz6CSKQw8QCSmUZ+71qb2/PAn+WZVPTE5OT7SzziqiqzgUAYWbvM2GtyrKqqjzPB4Oy2WxONMLMzKmYBlVlhaUYyFeV7mzv3bv7CNG50Nza2trY2BCB169fHx4eet/41a9+VRT9fm+wv7+fuJyebE9PT4IiAAGo1WJEjpnfvXv35MmzbrdryGHKtroXAA4ODj7//PPPP7/BZaqTgBp1zGW99/BhgVCXwbWji4iA1rHpR+vUNlH77riOx710HLfGjeZkKf0AFE8ASRVRmA1OPRIguOEvBGNkFSXyAKhKFDwhKgoRqA4rKT8q9wkAYoyIqAJv3rzZ3t4+c+bM2dUV8486qfaEAHDq1KlWc6ozPf9u5+DNm80sawpCTNGjY1BCKqr47MXGo0ePJKWpqQlVRYQrV65cvvJRSoVVTYg+BIwxlUX18uXG0VF3eXk5a2a7u7uQyHufN1ynM8VpWOgjogru7R32utVgUP71u9u9fnfl7Or6+vrm5uavf/3r7/92+9bffdNsNh8/efH82bODg9352VO/+MU/eA8qkIU8pYSeDJBnZmaWl4t+v5+SmJVYlZvnea93/OjRo2+//XZt7dzs3Mxg0LM8w1KTOqwAjII3S6PRMGcw7sECrtEbRCdFQErJaKSyLBmw0+mQymAwqEkXszwLeT+CBCM8zNTKsmw0GjpiStRigVU0oIgYgh8MBlmWkQoRsiTnHIEqqzosysoiSVFEYdp+t6+qeR4ajUaj0SAH7WaWUoGICuwtgUeUEEIIQVVfbry6fft2s9m8cOFCnboSEaKKiGjy3r/f3T84OH7x/PX+/uHVq5+unj1P6MENwZaTdru9Fy9e7e8fz8+cWl0932zmd+7c+fbbf5mZmZmdmzbfUTVsgFevXj1+/GT77fuHDx+emp0FlFRIjDGmcnV15ZtvvvHeMnxBxH6v6verWMnbt28vXlq/efPmzMzcmTNn//CHf9/aevv48dN2u3379t1+9/j93u7x4eH+/kGrvZTnzWLQc47qaD05OfnRRx/FGBHdeCkbQjCB7+/vq2pRFO12u6qqsiztt2VZFkWR5/nk5OQQelVjjI1Go6qqlE5oFRMpq1RVZcyY5fXHx8e3b98uYjp//vza6ln7YV3+WFoaQqjZLYvXVmMCgr2vqUjDnhhjCKFmmKqqcs6lVDmw4suOJKrMokTeuVAW1fHRYGvrbbfbs5v2+/2FhYXr1z/NvSPnVZmQ/OhkyMygyMy7u7u7u7uXLl2anp42pgqGHA4zM6f4+s3Oq5fb229332y9HwwGVt14nw2Kcoii4p4+eb6xsdnIm5cvX/7k2lVEjJF/85vfPH/+Ym7+c5HkAzGr1Z3OuZmZmYl2hxyQ9z4Ql1pV1d7+7ps324eHx3NzMya4quLBoOCkRLSwMHfz5s252RlCbObZ/Oxct9vdfP1mMBiklC5d+sne/90rIys6FQRCQh+CR4fMnDghECKpap5n5gZVVZmjZ1n2xRdfFUW/1WogQb/fr7M/Ijo4OHj8+DEzX7p0aW1tTUQEFRC6/d5xr7u5sZXn+cxMp9VqTUxMmNwQtaoKy2lEZDAYbGxs3L//8N9D+Prrr375y1+acxrYpJS891b0GqlqQIJofC4yR++9JuaU2u22IBhZbCESES0ZR8SqSoAomrzLjG8EAFFAoKKKTx4/39x8wywT7al2a4Iwe/jg2auXW1VV/eK//GdARQUyrtdKNQsx/X5/f38/y7L19fV2u10UBY4ROKo6GAyeP3+5+24/hNba2rmU5MGjH/b2dv7bf/+vy8uLRdlXQQF48eLF1tbWlctXFxcXVTWE0Gg0QghVVXmXgaeqKpwnAHEOLly4cPr0mSxrOOeSpljxwfsDVZia+vK4e9hsNhHRytde76jb7dqZP71+bWVlCQCZI6B2Tk3iK9x4/ZKZL1++vL6+/pe//CmE3HtP5MpygAApJeVhZjAYDHbfve/1BrOz881m085m0D0YDCYnJ1utFnMMzmdZVpYlIpqnttvtvb29zc3NBw8e3Lp168aNG3WZs7e3d/fu3e3t7eXlpc8++2x9fR0AFMVApY5lnU7n2rVrR0fdZ8+e3b59+/r16wsLCyZkizU1u18UxeHhYQhhcnJStcqyTCSpaq/XM+6qLEvj120LCzplWY4Ie/UeREQoCYsqIAZQ7XaLzc23Dx48CiFcWLu4tLTU6cy8ffPu+7/e6Xb7z56+0n9A7zOJhaoMi167gPfh6Ojo/fv9iYmppaVlazSoKhLWZLb32fz8/KnO3PLySrs1ReRPL8//9re//f2//O4f//F/gHoRLssqz/NOp/PxJ1fnF2aNWi2KwiJ9lmX9QWV6slu12s0syxADACDj7ru9jY2tycnJc+fOLZ1eiLE0FySiXq/7/v1OTPH08sq5c2cSl6SWaqNzKlx1jw/OnV+7evWyJxcyn2XeefTeiXoQBpRiMGg2c4fUO+4+uH9/b29vdm6h1WqJgAF1lmWIahF2YqI1uziXZZnPchFxSEkEfbh56++eP3n6xz/+8Z/+6dv5+cX19fVerxdCmJmZW14544Lf2dn501++m5mbXVpa6ve7zNxoNESGaWOrNXHt2vWZmbnNzU1VbjQaVjBXVWUYYFYCADs7O7dv305JTp06NT09fe3aNedcCNmLF68ePHhw9uzZmZmZubk5B44TO3SKCKDMaXd3b2pqqtHIU1kBQIIkIoReRFLEt2/f3f2Ph4ju8k+uLiwstNtt59zrrc1ev1Lwp2bmmYeJUUyVN4iLsRIRYd3Z2en1eisrKxYCsyxjZlGua7apqanp6VOcxPtMFRHcjRuffvfdn58+fbq5uXX23NogDQ4PjlV1ZWX57NkzVmT1esf7+/tENDk5SeRExDlSZebonOv1ijxvAgyD6KNHTzZfvr1586chhKoqATjLshijKh4cHBwc7k1OnLr26eXJqRY5ARZEQHUKTCSNRnblyuWFhfmd7e0sy1qtRqPRKIoCMBFqjFWzmVvpkWXZ4uJip9PxIS+KQoSLoogxMrNISilVVYWoC6eXrt/4dHJysqY0Jicn2+32zHRnZWXl4cOHh4eHZVm2Wq0Y49TU1JdffjkYDMqytAK+KAoAsDYhMzsXYowA7JxbW1tbWloy+dQFQV3FWFZh4F0Uxe7ublEUa2trU1NTxhLdv3//xYsX586d+/nPf25KrPOS/f39P/zhDxcvXrx27Rqzeu8Qh32JFKHXKzZevRn0qy+++OLcubUs84j48uWrly83QsgPD48b+USW5bGqrMrzRrRYW2vQL/b29lR1YWGhLtxFBIZlFAFgSjEERw5TqhAxJen1BiH4LMv29g5Wz7sQ8qpKh4eHp0+fzhuOCFPi3d3dp08fT09PLy0tDQYDAEgcNfGwUjf7QyBCIjg8PNzY2Dp//l1VrQMKgITMQ4Sqqvb29lqtxoX1lQvrZ8kJEaUUAaDVyM+dXX7/fvf8+bWrH3+U55miGA1PhM6jCBKhBcq8ERqNHGDy3Llzqup8JiLOBStRq6pijqoaYzw83B9U5dHRUbvdrrVoqWVrcmKlkS8tLdVsUFVVWZZ572dnZ638MaNXVctyjJQzXIYRs1JVpSm4ZtwN0e0wMzNzX399y6KGrW+uu7KycuvWre3t7TqhNnWicyJyeHj4/PnzwWCwuLi4ODdfU6gqznt/sP9u8/XbVmtieXmZiJD04PDgP+7dDSGsrp6//+Dh7t4+CxAhKzjvPAEKqIXJ/qB3fHzsPXU6U84hERqzhCOmz3qk1jdvNBrCyhz3999771dXVxcWFuq+qN1nYmLCGoE//PDDwcHBN99802q1VMX6CQDqnLfsjDkKSsAsz/OlpYXv/3zn97//3/MLUx9/cpkcWAhnjv1B98zK0pWrH01Nt5xDBVFlRFdW/Rs3Prlw6YJ3mSMl5FYzIKTd99tvt16vr6/FWAphnucxAiillGKM09NTiMRibDCaAkTEORzW/7papBI/bLda09HMxSYHTN95nltLazAYGAWiyjjqqhhzXxRFCIHIEVFRFFbc1pTaqLcMVo9476en8+npSav3AcjUYV999dVXRivTaA4hxqicGo3G8vLyz372M/N2A2Bh8c5HYe9ct9vd399fXl7JskaeN2McvHy5sbm5+dWXP52bXdrY2Dg+PNrefrd0+lRRVCGg90hJhRN753bebu/vvV9ZWZmfmyUETnEEJCCJCVESA6mq5nlelfHoqFtV1YtXrzuznU8++XR2Yaas+lmWHx0dMHMIOajnBNs7u8+eveh0OhcvXszzLHEBIIKgqhULIrEwIQXvErAn/OqL6wSysbH5fu9tUaw0Ww0Lec7htWtXiqJYXT3jPaWqdM4ZL8zMPrjFuVnvfVEUVVHNdNqXP1q7ffv7N1uv1s6vEA6LSSKbg0k4ZPAQiIBZhAFdWRWqKgksOpRl6UCFmdOQgfDeC0hK1chqh210MwUAsVZMjKUpT1WVnKga24HDvon1E4QIRNCQwDo+NoOR+WH5SoCiadQEGDbbYqzseHkedIy9tcoWhU9NTX795RdmqTGWiJgUKxYgJwg+UExVVVWNRitFfbdz8Ojh48y7syuLS0unL11cuXPn7v2798ri3Lt3b1fPLXtmdkRlSlmWheB2dt5euHC+0chi5JotqF+ImDiF4EV0a2vr0aMnMTI6d/bs2fPnV51HTioSfSALn1VVlf3Bg/s/eO+vXfv41KkOoCAiOUpp2PiuPcwivbC02s2vbn7+8SeXY4zOk7kCMzea+ZmV5ZRSu91GBJRh8l/zlYlj4qgihMjMV698NDfbmZ6eLsvCthg1B7D+M6Xks2DNQgAoyyQiDMZRiirHxDWzaUYmOKQ+mdm6GCdU5qhdMv6JMeO1x9dFrAWXmng1/LDCTUYvQBk1ywis1Y++Ds31LuOJSL2mJQ/DtCbawA2HZmNpaZFIXr16sbm50Wq17t27t729/dXNz+YXOj7oza8/GxTdH3548Grj2fz8zNLpBa/DGSpU5dnZ2Y8//nh5eXlE8Ikq1kBqh/DOOaTIsSxLw+TTK6cvXrzoPKoyCyfW2dlOs5X98Oje8vJSLMuN1y9XVpZ/8pOPfCDmaMbgnFPl0fWc0bsmOwtSrVbL2KFxhjHPcysIh8F1RHKbcEXEAgQoEOLi4uL8/Lx9YgYBY+2SOtOyz70nC6BE5JFYWBPDKEWttaKqMmK4RQQBa+qzVtK4ldjb8d1rjZpl2Of1ImZGtdELo/XkdTROhv9fZ2d8wdrsLBjhaE6KFAK5yKwpLi7Of/7Fjb99f/dPf/4/M6dmX228nJ09tbp61gdiKU8vzv3i7//Ty5cv+oPu4uLs0vwcPv3un0XEZUPLtVxyZmYmxmgdnXH/AACRFELwWd7v9wf9oqqqvNVuNnPnXMh8imy/+tff/9vf/nZnbm6ulTenp6evXLl87vxZ5jjsmoIoqTHW5tVYt6QT1yKrOW8dNdNrudSixFGXxJDGnJWZMx/s29plDcNpfEJs1KA3zKhpTUOmWmf1OvZKKjSaoCOFujNXsxrjDyOi0jA5VVU3Qp0aPo20HT4twxlEy0VOEMKBZSohBJtEgQ+bvfa+TmhwrKHjvTcnGUU6lzXave7gd7/715cvNrzPZmY61298snJ2yZyklbeIqN/vkkPvPRHgk+/+l3POjNboZ+sj2LjhSBYnAyyICijeZSkJEDJznjWcpzJFEWsSIqHrdvvbW2+Ojrp51lw+szQ9PW0n8J5EBAmM5OZhsUSWhYUQYlFaQ8QGBE1V4yhdy8WUYV5iRJMJ1ERcz4DRaMpr2JTy3haxP+sxwRhLVU3CtlEteksGx/WaVGqe2+jtMf8Z76SPhgHGejSkJ0/Wh9dRA095+GE9uzrc1Jnuo/e+Jqt01KCxJ2uwPDG4sb6xUVMA4H3GrI28ubd3tL29naLMzc115qYQlSWF4DwOMSwEx8wiMqSEYZhtgeHe+LkRT6blhqGOlFBUGcEjIkuSiD4Qs5Xymlja7eaFC+e73X6z2ZyYmGBmVfaeABUJal0SWSCjejtT8CgADyeBrc60GFS7iz08bgQw6tkaLIwGCU5sxe487uXjohwPXjga+KvVUB8J8CRO4ZhkRsqgGldqdz9BPv1AtkbXfmAlI1Ouix3VYZtiFBNPWjn1+jUi1uFm/ArOORv1NaQC0F6/OznZzLLTqhaSSJQJJCVmZRsBNqrMOTdsT7sQTOKGHzIaTvkRfNU2a0chBO9dlWJKyScfQkBAAAieUmJyNDU1QUQpVRZcEBFAnKMY0yimOgY2RAZBZEAajm/ZprWv1OBhIZZG3bjaROqJrOFRiWR89Hz0qhkwHCs1x1VSJ4EjnRvMnFgSKQCLJ4Ix+/iRoXxgdjZ9qGoQUjtejYUnaDFiumuzHmIeWxbiRGyS4sQUVFVZAJEAdWwsXkezpETeeBFVBRTL1wGUpXKe8jyvqgo1pXJARM6B8445ilhCg1VVkAndyAkDiVpeRgjCh0lWjdI2fWNGYw1My/VGotEsy3xwzlPiCMN5bzkxrzFvgzGgtv6LrY+jFL2OrPakcaC1y5rcLdk0s7apUjgJlDoiKk6ctZYmwMmgq125LigQh6QijM0Yw/gwwGjB+nkeveyT2nTqK9R7AYBBCIwFtfo69qvaxGk0Ezlu3/Vhagc23fHYPPLQrMkP/6MCmGCVmZ3Dfr8rkob9DQfDX0vi0X8ZQcT/B4xiJfeuB/+1AAAAAElFTkSuQmCC" | 1 3 0 \div m = \cdots a |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAATUlEQVR4nGP8z4AfMBGQHxoKWJA5e96fvXc2tAOPgrP37uE1oYPhvRABNwiS7shRBTRSMIuB4Syaiv9IwEWJgYGBgcEFWYxxZOQLggoAwpUmGUE8WfYAAAAASUVORK5CYII=" | 1 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAfklEQVR4nOWSSxHAIAxEN3WAhVqgErBQLcUTEkACsYCV9BrKp51e2WOys/sYQoK5tpf9mgbi1iFK0UgjnZDCnsq0gl0HQseZ3FZoQw+hZjgBgMMxYmCLUgBbv1UjRLmetULqoryBswBIBgmSW3Chzk1Wsx+/mTz8KO5bwpqGGykjrEagijCYAAAAAElFTkSuQmCC" | t _ { 1 } |
"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" | 0 . 1 \dot { 0 } 0 \dot { 2 } < 0 . 1 0 \dot { 0 } \dot { 2 } < 0 . \dot { 1 } 0 0 \dot { 2 } < 0 . 1 0 0 \dot { 2 } |
"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" | 2 \pi k / \ell |
"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" | \int ( d + e ~ x ) ^ { m } \left ( a + b ~ x + c ~ x ^ { 2 } \right ) ^ { p } d x = - { \frac { e ~ m ( d + e ~ x ) ^ { m - 1 } \left ( a + b ~ x + c ~ x ^ { 2 } \right ) ^ { p + 1 } } { 2 c ( p + 1 ) ( 2 p + 1 ) } } ~ + ~ { \frac { ( d + e ~ x ) ^ { m } ( b + 2 c ~ x ) \left ( a + b ~ x + c ~ x ^ { 2 } \right ) ^ { p } } { 2 c ( 2 p + 1 ) } } ~ + ~ { \frac { e ^ { 2 } m ( m - 1 ) } { 2 c ( p + 1 ) ( 2 p + 1 ) } } \int ( d + e ~ x ) ^ { m - 2 } \left ( a + b ~ x + c ~ x ^ { 2 } \right ) ^ { p + 1 } d x |
"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" | 0 . 1 6 7 _ { 0 . 1 5 7 } ^ { 0 . 1 7 9 } ( 4 ) |
"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" | \begin{array} { r l r } & { } & { \int _ { 0 } ^ { 1 - x } d y \frac { \left [ x ( m _ { d } - m _ { u } ) + y ( m _ { s } - m _ { u } ) + m _ { u } \right ] } { x m _ { d } ^ { 2 } + y m _ { s } ^ { 2 } + ( 1 - x - y ) m _ { u } ^ { 2 } - x k _ { 1 } ^ { 2 } - y k _ { 2 } ^ { 2 } + ( x k _ { 1 } - y k _ { 2 } ) ^ { 2 } } } \\ & { } & { = P \int _ { 0 } ^ { 1 - x } d y \frac { \left [ x ( m _ { d } - m _ { u } ) + y ( m _ { s } - m _ { u } ) + m _ { u } \right ] } { x m _ { d } ^ { 2 } + y m _ { s } ^ { 2 } + ( 1 - x - y ) m _ { u } ^ { 2 } - x k _ { 1 } ^ { 2 } - y k _ { 2 } ^ { 2 } + ( x k _ { 1 } - y k _ { 2 } ) ^ { 2 } } } \\ & { } & { + \frac { 2 \pi i q } { k _ { 2 } ^ { 2 } \sqrt { c ^ { 2 } - 4 d } } \left [ \frac { - c + \sqrt { c ^ { 2 } - 4 d } } { 2 } ( m _ { s } - m _ { u } ) + m _ { u } + x ( m _ { d } - m _ { u } ) \right ] + \frac { 2 \pi i l } { k _ { 2 } ^ { 2 } } ( m _ { s } - m _ { u } ) , } \end{array} |
"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" | \xi _ { k , 1 / 2 } \equiv \frac { 1 } { \sqrt { 2 } } ( 1 , \pm e ^ { i \varphi _ { k } } ) ^ { T } |
"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" | w h e r e |
"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" | ~ \mathrm { d } B _ { t } = \dots + \frac { \hat { \varepsilon } } { \hat { H } \hat { S } } B _ { t } ~ \mathrm { d } \hat { \xi } _ { t } = \dots + \frac { \hat { v } ^ { 1 / 2 } \hat { A } ^ { 5 / 4 } } { \hat { H } \hat { S } } \left ( { \frac { 2 7 \hat { H } ^ { 2 } \hat { S } ^ { 3 } } { 4 \hat { A } ^ { 2 } \hat { F } } } \right ) ^ { 1 / 6 } B _ { t } ~ \mathrm { d } \xi _ { t } , |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAASklEQVR4nGP8z4AfMBGQH64KZjGiCfxHBe8E0UTQuGeM0bUwoga1K8PZ9//xWvHfBU1kUAbUkFDwHo3PiJ7sGRn+41dAuRuGpAIA/KhiqKLGlAYAAAAASUVORK5CYII=" | ^ 1 |
"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" | f ^ { ( n ) } ( r ; t ) = O \bigg ( \frac { 1 } { ( k _ { 0 } ( t ) r ) ^ { 2 } } \bigg ) |
"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" | \left ( 1 + { \sqrt { - 5 } } \right ) \left ( 1 - { \sqrt { - 5 } } \right ) |
"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" | ( 1 ) a = 2 ; 0 x = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABNElEQVR4nO2U0XHDIBBE15k0cC2QEnAJpASlBFpQSrBKQCWEEqQSTAl2CaiEzQeSLJMJksaZyY/vB8Etj5tjxYF4LF4e3P8E/AXgtZy+tkClx0nwECu5hKWoAQAmkmQ01ZfT0mWSIsChPkcnsCRpKpJRJO4AWJcwIOlwTjXVOwBm1IBklZQd9A7ApKlIStoY865tADi5kBcsy1nEug/6tlPA9bf0CqA/vr2Hpl+s6Exxb6QwLJQCAE4P7ad3dl4uG8ksEjfH1BB2Uw9U1oP7Ck7LCuYv0wwAxtSPZqzfAjvg1v2pki230M6nWUCns0PexRJAmjR6qQEDDwA9bKYq1Y5TMtKZZBQVyaiyX4GH0rN+DNogqFoBQPiQCl67TFMEoA+DMmqa+SAm99EKYEP8/6P6BADfZNohaX5LwTwAAAAASUVORK5CYII=" | - 3 0 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA5UlEQVR4nOWTS3HEQAxEn1MmMBQmEExBgTCBYApDIQvBgWBDGEOwIdgQPBA6h/34s+XNORVddNCTuloqFeJ1vP1S/xtAeV7K/Rz8qwmf4/zegc4iNVI0nUv4CqgoIV98DZAvowthBRhnviDVnihJix80uLgRqaOPIra6AnWUFN0ymJmZNZI0kZCuwEKSlGjv/ZMkkR42RwDsloHvDL1ZuQK2d+E+jNyum8xHmzHM3u9Wnd1hER42x3Kr+i4eQHXLdg70QO9OAVd3QFc/aUwx4GIjLVVIMSzHoxabv+hx1dOA4n88zg9BIp/iXSW6qwAAAABJRU5ErkJggg==" | 1 0 ^ { - 3 } |
"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" | R e _ { p } = \rho _ { g } D _ { p } | u _ { i , @ { \mathbf x } _ { p } } ^ { u , p } - u _ { i , p } | / \mu |
"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" | \tilde \mathcal { I } _ { i j } ( E ) = 0 \mathrm { ~ f o r ~ a l l ~ i , j = 1 , 2 , \dots , N ~ } . |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABLUlEQVR4nO2UwXGDMBBFnzNpQC2oBVpQC6QEtSBKiEuQS8AloBKgBFQClLA5AI6XgIcZZyY5eE/Sl/bN6u/CSXgu3p7MfwH+BeB9R88Zdwhw2h6k7my7sT1EkM1oBhnot8907ABEZDDLKoo0Hh+C7aVZX9vzAM71vLgAjhQBi6k+9bXtLoxwtbOJOXkgFYCHgvTQgz4GC26Qul2kshcR8WF5WfHIg74UaZyIROsM4S7BlSFMDN+qFO1BVQIF4P0idQUAqTYYAMyszKEB1wjJK2lK6yhvQt43MRnDiNWADJDdd6oqYNWFES5B57sM0FmYGkrWAPUEZz5sMBqAS44ujdVsRx5XFa7auDGRTm396sr+KN+i9XebGFenBwCqrB8l7nzOx+Pvf2kvwC8AvgDAR9FNWP28BQAAAABJRU5ErkJggg==" | \sigma ^ { 2 } \left ( E \right ) |
"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" | \frac { 7 } { 2 } n + \frac { 1 } { 2 } = 5 n - \frac { 5 } { 2 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4ElEQVR4nM2TURHDIAyG/85BLGCBScACFjoJVEIt1AKT0EmgEloJrYTsoddBRtY97W55guS7JPwJDePcLl/ivwC6ppMOFpas6cmmwiOBnvzKs0WfXbIEhUgwKVB2NVKH6bEsZL350ENygHEGNOg9DECYmXkkJA0YcLQf0SpAAq3H2ZACOIzFuQYSHGvAS4c7fH7apjzTYc0ZYOoSpSIR4Rxwmg4mAxGea6DFoW8imhVgBO15ByJ9HwLQ9jFYiHg5i7gPuV3LOIt9mDbQ1ceznWT2mMW92mqHm7g3//j13u0J/TnhZfNYcB8AAAAASUVORK5CYII=" | \hat { Q } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZElEQVR4nGP8z4AfMBGQH1WATcGedMb0Pegq/iOD3ajc/////0e1Yo8SATe8J6TgnjEBBYSsuMeAqYCBgCdQfQGx4SweNygxMDAwoAYVI3KaVGZQYmBgOPsOpwJsYNClhyGrAABCPkwf9sNT2QAAAABJRU5ErkJggg==" | L |
"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" | \{ G _ { r } ^ { + } , G _ { s } ^ { - } \} = 2 L _ { r + s } + ( r - s ) J _ { 0 } ~ , \qquad r , s = \pm \frac 1 2 , |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtklEQVR4nNWTURGDMBBEl04NxAKVECTEAhZqoZUQJBAJIIGzEAkgoZGw/QLSpMD0h5nuX7JvNneXuYLY1+XAPwO4frlzk6hhL0Fbs/+E/qmGUwFfOQDulgDLHJrgJwC9BkR6PO1scBEsSbT8VAwMZIdXAiRFOqM2ixQA4g02AcAECXUKxL/pQqnL7QQF/5AsIG5zJDEyFeJDe8/8FRhJ1nnACijSdrnPYl6cCrrOhgCg+IfNOgTeFrjRx2BUt1oAAAAASUVORK5CYII=" | y ^ { 1 } |
"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" | V ( \phi ) = \frac { g ^ { 2 } } { 8 } L ^ { i j } \frac { \partial \mathcal { W } } { \partial \Phi ^ { i } } \frac { \partial \mathcal { W } } { \partial \Phi ^ { j } } - \frac { g ^ { 2 } } { 3 } \mathcal { W } ( \Phi ) ^ { 2 } \quad . |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAAEfElEQVR4nO1a25WjOhCs2bMJ6IagDUEpaEKQQ2BCECFACDgEE4IIAUIwIaAQ+n7owdPArG3Yj6mfaaBBZanVXTTzQfi38etsAlv4IfgsfgjuRdMObNvbRxJsV641Je8PeNoz/DgqzfxpoW64lgAAAwDthQUTbV4MnW3aH9JRMMiIiDREPCXU3Vuy80bmjCILPsctcQMJAAwszhO7+XW9Cn8yTxsAQFLGRT5m+ohIMiIiMuDhjKqDxcMEqsAn0944jiAUERHVcU5M4ECFChaT3uiY53zYElcQAAARdrPNdbwmvNHYYDHuthN+H8CtzS2UD0GA2ZYDQK5DMNpSA0CVw6L6ZAUDANn4q+9f24IbIs2ZP5QoiIjquKxkIgnV08l8qL6foEsvdwRCCpqISHXRQwfufQj2rN8eg/aLawAtQnRxWAC5YL3PPAR7vJ1g2SoAqEIIgqEF2kYv+PZOPd5P0A3asDA5Ag2QZku+zRkE/axUcWgOi5LzRd85vwPUjABcFqxc4uBAdR1NIK/cXxeC+TbBR9Lsr8CZIyhR+VnjSMcBGPcIJHD1XiF5LxB8KM32orqmlRsQgGoBXBsIBJXAIcZLKVgVqdpGOdMGn5B37qFy35NRGuvGh5u4J0xpo+WNCnenSowuOpHpMEDCusk9iavKndCFDte4dw8E7yxYj6XZHmiWuNuUdhWDqDYdEZkg/ciY6U0mSEQT9U0dNE8kKL22KILGyOAfJKY/+DG6JLCiDriv+g4h6+mZJDxnVupWpNk2VORHJPmK4wRmGkddrHlTgmvSbBMag4H0d4JXT5Y9BuysFq9Js83dm7NhfpvX1cfIrqNkUfL+ZiIiumnpfkKHmojISCkgpFcce+dCDidwsCv2oEsGy2RuvQ0iIpORdhGzKs02cAdmsf48QEQkI59VaUZERNMqrwZXGL0evwA0ErZMxoGzJM0AANMtfYtXmm9F3V78BiBEEEU9lqTZBuyIoHWF7blaLuNL05Wr8aUlafYtfLmpTasNv1VQIDgXuEvSzLlOWkBRiEIMuQTpYp7hBwSCVyQu93Cvxrw0W9Dl1SQpikhQ5k1/ulyUzH8DIiLigighIqr9hi1giAqfjrSgXZB99dUvSziukrQSDQO2pNkGbvzitkR7US/b0K4/mLaydWvy5aqV/ZS8Da/+f247h7NpmUjYChnbdnZoF19OZgT7HFaltTdi9DeX+97h0JYWXO2l55qaG5gF0mNp9nr4pmbQxkuYEVyRZq9H5qp31MYLmL00STZJrfnLEsYcPo5Wq8KcsxrN9+19CxybmmxlkRZeO4vhm2aF5NXTNny4m8BHwgQ48DPEBK6pmdeiymEbwXzbcgFvXMAVjJqaao3EOQTHTc21EDzwO8kA46bmagie8zFx3NRc18bnEBw1Nde18Sm7+AMEAB+uEP8n1lTtOd+Lh03NxbZlj1MIjpqao7blHKcQnDQ1B9p4jnMqyYWpiqtPZZUYa+M5Tip1jRUMqFyzv9fGCzirFu/GP/NfH4/wQ/BZ/BB8Fv8DhcsjYxJcjI8AAAAASUVORK5CYII=" | i ( t ) = C \frac { d V ( t ) } { d t } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABdElEQVR4nO2X3ZWDIBCFb/ZsA9MCLdACKSEpwZSAJawlmBJMCVoClqAlQAmzD65R8Qc15+wT8wbox507gxwvjM/i68P3IyACIuB/AO5+DRJ4K3RgnZk3HzAAygBgM4UHAPeBB1mtgfq8Bw0pBpLzHigYFlCnAQU0s4I4C7Ak7J46rpqYuZwAhF1cAZe4dXmEGmFNQUo5ABBQbQtYAaS1JgCQAf1rKTSQvcmhOi4D1GiHQB2/l1Q9K90j0ro9noKlYVcNmMMKUpePh4HzOGeWY99K4GdTwbyM7oGRAAopmKeQtVoMIznpZfdqRRJIwYDseCzeLcE2uWmCnj7vA6xEPplQ7z0KYZgLv7E8D17XGmI80bbAs1u6awk40FYKypvsx4qZhWBmK8lri+B3v48cmrmRqvHmF1t5KSogq0U+P557FRAKf/NDKZi1U7n3dnbT4gyx/3rvPm1VdtIDCyTMJtH+wv4yEoBk7uMl/i9EQAREwF/8Amztecfwd64vAAAAAElFTkSuQmCC" | A _ { e } |
"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" | \theta _ { 1 3 } = 0 . 0 8 , \qquad \theta _ { 1 2 } = - 0 . 0 4 , \qquad \theta _ { 2 3 } = 1 . 8 , |
"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" | n _ { \mathrm { f r o z e n , ~ c h i } } ^ { m , \mu \nu _ { \mathrm { m a x } } } |
"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" | R |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAMklEQVR4nGP8z4AfMBGQH1UweBVcDcNQ8R8FhDLYowr8J2gFmglXQtEM+M84mqKGkQIAv5c/5k65MgUAAAAASUVORK5CYII=" | ^ { \ast } |
"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" | \hat { P } _ { \mathrm { n s } } ^ { K , \eta } = \frac { \eta ^ { K } } { ( K - 1 ) ! } \frac { d ^ { K - 1 } } { ( 1 - \eta ) ^ { K - 1 } } \left [ \frac { ( 1 - \eta ) ^ { \hat { a } ^ { \dag } \hat { a } } } { \eta } \right ] , |
"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" | \sin { \frac { \pi } { 6 5 5 3 5 \times 2 ^ { 0 } } } = { \frac { \sqrt { 2 - 2 \cos ( { \frac { \pi } { 2 5 5 } } - { \frac { \pi } { 2 5 7 } } ) } } { 2 } } ; |
"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" | \begin{array} { r l r l } { V _ { p , a n } ^ { \mathrm { ~ 2 ~ h ~ 1 ~ p ~ } } } & { { } = M _ { p a , n } ^ { \mathrm { ~ h ~ h ~ } } } & { V _ { p , i n } ^ { \mathrm { ~ 2 ~ p ~ 1 ~ h ~ } } } & { { } = M _ { p i , n } ^ { \mathrm { ~ p ~ p ~ } } } \end{array} |
"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" | \begin{array} { r l } { E _ { t } } & { { } = E _ { s } + E _ { b } + E _ { d } = \frac { \mu } { 2 } \sum _ { \langle i j \rangle } ( r _ { i j } - r _ { 0 } ) ^ { 2 } + } \end{array} |
"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" | \begin{array} { r l } { \phi _ { 1 } ( z , \theta , h , j ) } & { = - \frac { \sigma \int _ { z _ { - } ( h , j ) } ^ { z } \partial _ { h } P ( w , h , j ) ~ d w \cdot \int _ { z _ { - } ( h , j ) } ^ { z _ { + } ( h , j ) } \partial _ { j } P ( w , h , j ) ~ d w } { 2 \pi \int _ { z _ { - } ( h , j ) } ^ { z _ { + } ( h , j ) } \partial _ { h } P ( w , h , j ) ~ d w } } \\ & { + \frac { \sigma } { 2 \pi } \int _ { z _ { - } ( h , j ) } ^ { z } \partial _ { j } P ( w , h , j ) ~ d w + \frac { \theta } { 2 \pi } , } \\ { \phi _ { 2 } ( z , \theta , h , j ) } & { = \frac { \sigma \int _ { z _ { - } ( h , j ) } ^ { z } \partial _ { h } P ( w , h , j ) ~ d w } { 2 \int _ { z _ { - } ( h , j ) } ^ { z _ { + } ( h , j ) } \partial _ { h } P ( w , h , j ) ~ d w } . } \end{array} |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABGElEQVR4nM2TQXnDMAxGX/ONgCmEgiiYQgfBFFIIpdBB6CAkEBIIKwQHwr+D7VrpYbvsMJ2k6FmWfsUn8bMNv+T/AHg7hsu2FydCLJ663c8HeJIk9QrLZQOCAfsGYMcKE0C81+gGZElSAxLAVQ43eWACuPV2IiQPrL0pSVLuOO1AK1nmAVYHzACzAxIEOSAB0eVz6PEAsABepM/9qQJI+uI5dTFzN1Jb8C3O/sAAPIDgbrgA1j40wHr+Y/Px8HIa9guvgNUqxd738VCxCjt2jWyqMuW1CRWBsuicsByLTNmClzrMUr6NWFaEkLUa6bmsCWA04Jylaw1S36auZRK7t13BWPxTfVn7shFi6/3xKD8ncPoHT+9X4BsAqF1mLB5tnwAAAABJRU5ErkJggg==" | \alpha |
"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" | f _ { \mathrm { t e m } } ( n ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnUlEQVR4nO2T3RHCIBCEFzvAEmghLZASaEFLoJZYQlqAEkIJWgKUsD6g+UGEd8d9uWHvG25h5gTR1qnT/z0gjUKcbwCQrjuCb0WpzEXBkbRudbkB2pKk1WQ0rAH2xd05uSoQc5kn7i/gFlLmYoLXnWd60wZkkoczS+mF9Qyrhm8/mfU4DvgEvOoBQ2GUGWVkM2RQnQxBF4b47wUA4AmDp79AlRBD2AAAAABJRU5ErkJggg==" | \gamma |
"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" | \mathbf { s } = ( 1 . 4 5 , 1 . 4 5 , 2 . 8 9 , 0 ) |
"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" | M = 3 6 |
"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" | 1 8 0 ^ { \circ } - a = 1 2 6 ^ { \circ } |
"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" | \left [ E - ( U _ { 0 } - U ) \right ] / h \rarr U _ { 0 } / h |
"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" | = \langle \bar { \phi } _ { n z } ( \vec { r } ) | - \frac { 1 } { 2 } ~ \hat { \nabla } ^ { 2 } | \bar { \phi } _ { n z } ( \vec { r } ) \rangle |
"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" | Q _ { f , n } |
"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" | E ^ { \prime } = ( 1 - \beta ) \gamma E |
"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" | \begin{array} { r l r } { k _ { D } R \partial _ { r } c ( r , \theta , t ) \mid _ { R } } & { = } & { 0 , } \\ { k _ { D } R \partial _ { r } c _ { B } ( r , \theta , t ) \mid _ { R } } & { = } & { - k _ { 2 } \Theta _ { u } c _ { I } ( R , \theta , t ) , } \\ { k _ { D } R \partial _ { r } c _ { I } ( r , \theta , t ) \mid _ { R } } & { = } & { ( k _ { 2 } \Theta _ { u } + k _ { 1 } ) c _ { I } ( R , \theta , t ) } \\ & { } & { + k _ { 1 } c _ { B } ( R , \theta , t ) - k _ { 1 } c _ { 0 } , } \end{array} |
"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" | \because M ( m , - \frac { 4 } { 3 } m + 4 ) , A ( 3 , 0 ) |
"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" | \hat { \mathrm { ~ \bf ~ P ~ } } _ { r } = \sum _ { \mathrm { ~ \bf ~ k ~ } \alpha } ~ \hbar \mathrm { ~ \bf ~ k ~ } ~ \hat { a } _ { \mathrm { ~ \bf ~ k ~ } \alpha } ^ { \dag } \hat { a } _ { \mathrm { ~ \bf ~ k ~ } \alpha } |
"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" | 2 \omega |
"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" | ( x _ { \mathrm { p i x e l } } , y _ { \mathrm { p i x e l } } ) |
"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" | { \frac { d U } { d t } } = \sum _ { k } { \dot { Q } } _ { k } + \sum _ { k } { \dot { H } } _ { k } - \sum _ { k } p _ { k } { \frac { d V _ { k } } { d t } } - P , |
"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" | \begin{array} { r l } { \frac { \partial \ln \rho ( z ) } { \partial \beta } } & { = \frac { 1 } { \rho ( z ) } \frac { \partial } { \partial \beta } \left ( \frac { 1 } { Z } \int { \mathrm { d } } { \mathbf { x } } ~ e ^ { - \beta U ( { \mathbf { x } } ) } ~ \delta [ \xi ( { \mathbf { x } } ) - z ] ~ \right ) } \\ & { = \frac { - 1 } { \rho ( z ) } \left ( \frac { 1 } { Z ^ { 2 } } \frac { \partial Z } { \partial \beta } \int { \mathrm { d } } { \mathbf { x } } ~ e ^ { - \beta U ( { \mathbf { x } } ) } ~ \delta [ \xi ( { \mathbf { x } } ) - z ] ~ \right . } \\ & { \qquad \qquad \left . + \frac { 1 } { Z } \int { \mathrm { d } } { \mathbf { x } } ~ e ^ { - \beta U ( { \mathbf { x } } ) } ~ U ( { \mathbf { x } } ) ~ \delta [ \xi ( { \mathbf { x } } ) - z ] ~ \right ) ~ . } \end{array} |
"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" | \operatorname { t o r c h \_ o p e r a t o r } |
"iVBORw0KGgoAAAANSUhEUgAAAVQAAAAhCAIAAAAJaMQkAAA85UlEQVR4nH19WXMcR3ZuZlZV7zsajcbSjR0gQXAZSpQoDbV4ZmxPzNgKL48OO8IR/l1+sJ8djvAmx9yRQjMiRQ3FBSJB7A2C2IEGet+rKvM+fF0HCXDu7WAggGZ3VS5n+c53Tp7i3z/+VgjR6/Xq9frW1tbXX389MjLyxRdfRKNR13VN01RKcc6llCYXjuMwg+NNwzCUUviMlFJ5LymllJJzLoQQQjiOK4RgjLmuq5QyTdMwDNd18Rlc3HVdv9/vfdd1HMfv97uuK4SgbwkhcBfGGGNMKSWZUkoJxoPBYLfbxYc555xzxpiUEu9geL1ez+/3YyT4X9u2TdPknPt8PnwRAzBNs9PpMMZCoZBt25xz0zTxFVwZY+j1eoZhCCHwRbzJvRd9DEvkOI5hGPiA/hUso2EYdHf6qQ9JCIEVwDDwJk2Ec+73++lP/BfnHOvj2g5jTAih3wjLTlfD5zFax3E45zQ12juslRBC32illGGYuDUmjslivridlNLv99u2rZQSQliW1e12pZS1Wg0XDAaDhmGYpokpCyFarVaz2QyFQuFw2DAMx3HwLcWZz+ejMdNEDC70naV5kbRgbH6/X0rZ6XQgErRZtm0L7eU4jhCC3ryyv/gvn8/X6/UgORi2YVyMoefYSimItHKl67r4vFLKsqxerwcNklJiiRhjjuOEAoFms2n5/ZA6iCKtZK/XCwQC2B2SCsaYbduMMYgoBB6bBX3BlaWUPp8P07Ft27IsXJz//ndfOY5j2/bbt2+fPHnCOX/w4MHExARWCiPDT5OLvrZ5+kAbQLJOL3qTc+G6Lkam7wo2G4JlWRa2odvtGoaAlOC+2AkoGz7mOA5jzDAMJrjrulwxTNVxHKWUz+ezbdtxHGwM3rcsC8uEieDrunWgrXVdF1qKD2CEZKQgCngTgySdwQfwJwZ8yU5JSVfA9bFJ2AP9OvrVcCN8Xr8CbT99BTp5ZSSKM8aY3/LRmuO7tAg0MH0rLcsi03BxKaVghfvKZhi4o5SSc3Hppp5dgJDgHawz3QULDqlVSkUikW63i3dM04RgYO8wNWiCEIKJvkrAxtFSMHmhmbRlJIoYGNSejBpNkCSB7OmFgF2WcHwLdqrdbuNe0EYhRDAYsG0bFzF9Fue81+sJIbhiuCkNDHIFj0Wr0e12Q4EAY8yRErOG2kM+SWMxbPKI+AxWUgiBUZmm2e12Q6FQu92ORqONRkMpFQgEWq1WIBAgCXddl//+d181Go1CoVCtVg3DyOVyQ0NDoVAI60IqgS30+Xw+n4UB4U0YZqAAXf/7u+L9TvqA9+krZGh1EaHNBiSxLAv3klJKpqA/tIiWYdq2DTMMwwaLS64eRgHCBBOIRYelwPp2u91AIGDbNj4GEYTt1zUKVyBco2s+CRyucMXB6tYEH4YMwaLrvoUEDhPE4A3DsCwLK0aIw3O8BhnEi/FwhtVjjHF1dYS4HW3ZFeXHXujjJ0OsLzs+KYSA8utqRiqE8WPkZEHg7hzHAVjDd+FLAoGAEKLZbMJVYitpgpZlKc4gORfmANhHXcydXDq7/ML6Q1UcxwkGg0IIYBBMjbYVEyfnrGs+fiHBcF13Y2MjGo2Ojo4ypqDtkFISb8E4bkomD/KMJSLU6fP5Wq0WJhUKhbrdbrPZjEajcMwYoa4prVbLcZx2u+33+7vdLmOsWCy2Wi2fz1cul4PBYCQS2d/fj0Qi5+fn8Xgc449Go7Ztx+Px/f39TqfDHz38ptPp9Ho93AlyDz2EYpBOAr/5/T4sE/kicim6JNHqY7YE9WnnlObeIdDcezEPtMPuaE6Gc0OQVkBLW40mWSKoCpltWutut9tqtUKhUDweh8hiP/rgh3NyRBTRQJ3wIjinPH+ru4UrQoa9ZO/AAUxEh3kYMzztFc3Hz1qtViqVbNuORqOpVAqCAkQG5YH09OGl5q4Vv4gvyCvq7k63FPp+0QR1Y/2ubaJ3XNc1TevKjpOylUql09NTv98PYI8r1+t1zvmbN2/29vbOz887nU4+n7958+b4+HgoFGKMBYPBarX6448/7uzs3L17d35+/sIEc0bAVZ8vVxe48spgrsgkSRRhE6gW+SqSnHcXh/aX7Mh//Md/PH/+3Lbtf/iHf8hmh5aWlra2tkKhkKukbduZTEYIYXAxMDCAHeecQxcqlUqn00kkEvV6PRgMNpvNcDhcr9ehzFLKSqXSbDZjsZjrukdHR1LKbreLgBSWq16vQ/4h84iPOOfxeBw2tF6vE8zx+/2JRAIiB13D7UzLMv3+mOdhfIwx2DvDEIwpKV3GlBAAVIxzpq8d00Jr7gX5VyQYk1EezsfXhRfM0xbq1hrXJJ/gSJcLDg/jOg4uFQgEELcL0zgrnT98+BDuUSkVCoXgnVqtFpzG+fl5s9lMJpO/+tWv4tGYz+ejnYYpIblvNBqu6w4PD9M0sdn4GPfiHRoe4/KK8gvPLlxRFZ/fVBoyN0xumCbnnCmhf1I3HAMDA8lkUscOlmXZtm0Yht/vD4VCvV4Pg7mwYvyS0RFCQPn/qJ6TxF+5L2OXdAlzhyvT/aoON971tEqp7e3tR48eua6bSqUMw2g2m/BXzWZTKXV2dtZut03T3N3d3dnZ+Zu/+ZuFhQVacKXU8fHxmzdvhoaGEolEH+lwhmkCf10wQV4UQPuij4fmgssahuHz+RAC4E3dalC4cYUNoZdlWQTIEcBXq9V6vS4EX1tbg6JyQ5imubm5KYTwWz7Az06ng4tDSqGWlmW1Wq1gMAgewbKsTqeDsSGmiEajnU4nGo2Gw+FIJAKcGIlEOp1OOp2ORCLJZJIxFggE/H5/IBAIBoPhcBi+AURDOBzGtxhjIF+CwWA/cACGgUXEasINwmzoQoB3QD/AXl5BhuyPmUyl8VgkSZiq8uIWRHGIzHVTTRum6x4uBYiFdTw/Pz84OACcg0RGo9FKpcIYC4fDjLFut9toNE5OToaHh3/60ceBQEB5uBcOHxbq+Pj41atXpml+/vnnMC7kE+Rl8YIVh/LrwqE0nK+/yS47JfoM51zJSxqo/849FEqXgtjRemLZCalxzhm/UG99JFyLvJgX615x/vRJ2jgdL1AErnNpelh05eudTseyrEgkcnJyUigUIPe9Xq9WqwUCgaGhIbi1SCRiWVapVKrVaszjR0Oh0NjY2Pr6+tra2vDwcDgc9vl8pmm6qq/zkE9dqJhmzq5AFf0XyHmn0+GcG4aB0INdxji4mh7J6utJnkkIASAJn5FOD3z66afFYrHZbDrS7fV6wJsgI5VSMHmhUAgrn8lkLMuq1+sAdO12G/io2+12Oh2fz4cpZzIZ13UHBgbC4TDCfp/Pxzlvt9vxeFxKGQwGMexutwtSrNlsWpZFV0D0hJmaphmJRKrVaiqV6nQ6JuhTGCHMRAhBvCJGRjuN34nxUh5014WA9qO/WMoRBuecKSUZY6ZpMMa4o1xpK6W4UIq5SjGppARDpYRhGK6SQggllav62kVMnmmaiJqkx+umUqnZ2dler9dutzGMVquFkYyOjmIKrVbr/Pz88PAQ84JoghQgNl4pVavVarXa1tbWzMwM9N/n8zGPVKfohnPOBcTiwm/rOqOLHakQCZPSXoJf0I26pCLufTdcIrmkaKhvmEyDcy4uUy2MMdd1uPZSWqbg//8iieca5w8TA/frOK5t27qt05UkFApNTk4Gg8Hj4+PT01PY5c3NzWq1OjEx8d57721tbe3t7U1OTuZyOSHExMQErD/MRC6Xu3///tdff72ysjI0NJTNZg3DkLZkUgHdYGWUx7AwxpSSSjHKPtAK40/hsUsUclcqFWwuvJouwOR1aL9oT3XvGIvFTLOvQclkKp+PzszMwPP3ej34Ib/lA1anpYPgkasjawKWRGlUFDa93W7Dhzke7GWMRSIREEZgE2zbRnLKdd1ms1ksFmdmZiDY8PYIl0D4RaNRYC6TMUaLDhOgPLxNag9/i+tiXRBjEBlDG8C1RAAWkXFFPhPsBeaPzAfMFSbch3zCMgzDtvvcBsFvImbI+uADfr8/m83+4he/kFLW63UsRKvVKhaL29vbH3/8cSqV4py3Wq0//OEPm5ubxWIxkUjARhL1gG3OZDK5XO6777779ttvfT7f7Ows9yh3kidi4KVy2Dtuk3l28IrzIWTENA+PGSn5R9wLEBYWBLNmHnYgEkR5aUIImbqMueh3wkrvDuBdpdUVRjdhFKwREpRSuq6UWj5IN3C4Qjgcnpubm5iYAB17dnZWrVYbjcbc3Fw2m11eXj45OUkmk/fu3cvlcn6/v9PpkHIahjE+Pm5ZVqFQuH79+uDgIGZhWVbX7hEgIixGwNB1L2Vk6eV6SV/ixnd3dw3DyOfzgUDgCuZSlzGFvp5YDdiLeDweCoWKxWKxWMQwiE4OBoN9rXYlPDb+1HVNXY55KYsJ4aQAJBQKuV4Om+y+aZpYVeij9FjYbrf76NGjnZ2dYDCYSqXg3vBF0A0wW/3rUNqGFJi0GjKn5wwLhcKXX3753Xff7ezsIF+qs1a0XsLjC4WXVqFb0MRs265Wq9vb23t7e6DrYYa4UK60DYMr5QrBQBJzriB1+AW/MyaFYK5ru67t85mBgG9oaDAej2YymWAw2Gg0AoFAMpn0+/3AloFA4PT0dHvnTbPdMizTVdKRLhNcceZIVzIVCAVn5mZn5maPTo6XXv54cHToqj4dQEKP6RBhQcL3R72rri1kSfX/5VpGnXvZBB1eXfmu9IojdINyxdzoLzJeejxMzLYOHNjltAVJG/lA5kE/KSVjHNifpkzzwpuUSIenCgaDPp+v2Wx2Op1IJDI6OppMJufm5lKp1Nu3b9fX15vNJnYftgx2LRaLxePxVqtVKBRKpVKj0SC14Zzbdk95u0MpNz1HqC8R1llPxJTL5ZcvX/7+979HuQElEZjnwGgpSEGw3bQgruvGYrGBgQHLsnZ3dxFmMsYty2ealpSKc8FYHy2enZ2trKzs7++3223OOTw/NiUcDmPrASLwE7iP2Hf4SwB+JIlokNiUYDBIWVKfzzc8PPzq1SsQkHt7e9VqFdEBLOCFYwDeYIzpCF96SRoMC8YMMVupVHr79u2LFy9+/vOff/LJJ9wLDcjJMMYoOS+l5IL5/X6ipmAFm83mycnJkydP3r59OzY29umnnw4PD1+Jb6+8SKB1L6rbLM8duY4jm83m0dHRyMgIUhjIZUxOTjqO8+LFi2g0+sEHH8BqSo1hchxnaGjo9u3b6+vrS0tLjUbjiy++GEimKPFLSkvJUgwJC0o5EaUBb1J4MqC64+Wcc8YJYQL48T8WuMrL+cUrvoi04gqCJf3nHlaHnuifMbwsNOUjmIf7iA8zvMywlLJSqVQq1Wg0mkwmqVhDHw/Tkvk0X+CyZrMJ0xyJRO7du9dut7///vvl5eVEInHnzp1YLEZfQfpqYWHh7du3z58/73a7n3766djYGOdc8L61LZVKgnFwXQgrfD4f54KcGyqLCOcLjdsqFAqrq6tSymq1mk6nYRq4V8NDXkp62VbhlRvoVj4QCABXlkolZA37llRcpEXxxUePHv3ud7+bmZn5x3/8RxIA3K6fxfTgFZJTFNti/HqJFH7pdDrBYBBRMAbsOE4gEDBN82//9m9t2379+vXe3t6zZ8+q1erc3NyHH344MDCAaV7oDuec5sk8LA3cwhjr2j3FGTdErVHvOfYH9z/84osv8vm8EGJpaQkwDIqN5cbkiT6A3cIHoGyUb3j16tXp6en4+PjNmzcxrEvYmDGmFFNKZ89IoJmGMy++4hVg2Ha3WDyhTAkmiOgdec69vb0rvhQTt23btu1wOJzJZJRSh4eHh4eHzPOE+o0YY66jOLvQf3k5eXnFcsG3EAJytTw541IxlwslDMaFwj/GZZ8NYS7jkv4J4yozr5RSnCl+Yft0iEFGmVIt5GSUFzXQklK6BDEq10J93LTb7R4eHr18+WptbQ2ZFHL+NM0rgILG6LpuvV7vdrskb6FQaHp6OpfLNZtNeE6ymxiJEGJ6enp+fl4ptbW1dXJyAuFxbZsrdXx49PrV8vPnz1++fLm2tra8vPzs2bM3b95QEYfrVZGSXWZevg1VOr1eD6WcNGb3chEqhXiWZQGVwDjSivl8PqRgEWnqq0HCTApsWValUoGNUBSRceYqKUzDsEzDMqv12vr6OlYJ40eYQPuF/DSuBg4PtgMhAC4ORnNxcfHBgwf3798fGRkpFApPnz6FMkJHLMsyTVMoj/fGPWDjkSSAV+92u/V6fW1trVgsMsby+fzPfvaz8fHxdrvdbreROWBahAkbjCFKrxAF44YVbLVarVbr7du3Q0ND9+/fv379Omaip9bffeleRXeJpHtYLCllq9U6OjrinA8ODjIvVIamjY2N2bYNrYZF5x7Y7vV6oVDI7/f7/X7EgSCoEN3QdZQXXkJPkMJpNBrwNldiYP0XQ0sgk7OFpNKKcS9deuW7eIl3iilI5SiCMLQ6HGyf0l7YeOVhPbJZuA5Wz7btcrl8cnKCcjGmFWXWarXl5eXXr183Gg0I5btbpptC3RbA4iulGo1Gt9vFCuTz+Xw+L6VcW1srl8vMizHxSc55OBxGwF+pVN68edNoNDBBcDoHBwfLy8u/+93v/uu//us///M///3f//3x48elUkl5PA4Yb845ioUwQlSOp9PpeDzeaDSoGIkkgRyYDsFArdFqE3iOxWJg6ev1uvS4LVo0cjyhUMiyrGKxWCqVsAsEA4ntajQaz549+/rrr8vlMvfKe5VS5PallKjpaDQasFztdpv2WnlcAL7COY9Go1NTU9PT05zzzc3N77//vlarKS1Y6xfGci/Cp4CTG0KYRrPZbDQalUplaWmJcz4xMeE6vcHMwOd/8uk333zTszuWz+jZHZTTdbo9zrnlMxzHdhxHKkdKGQwGYV9J7BzH2d3dDQaDi4uL6XQaS4bYgRCaLt8cfwIFXI6ouUaSkUft9Xrlctm27VgsxrQiong8Pjs7++bNm3K5vL6+ns1mUealvBrPbrfrum4gEMDHjo+Pj46Ojo6OJicnYYl15gZjcB11fHR6cnKSyWSmpqakZJxfzTDh1WenvbQlVN3n82HxCXlxL4ShHdInq5RSjOwLU9r6CMGkdKQk7porJR3H4UyQWWGMwdxQXRBZIukdKKjVamtra+fn59evX5+dnYWLYIw1m82dnZ03b94IIbLZLNKlFKnpkyX7qIfciPyR3KrVaph1KBSampra2tra2dlBfRukFiqEiwwNDaH+d39/v1QqxWIxn8/XbreHhoZQ/Xl8fFwulzudTqfbogp2oVW2K68kmXtslOM4o6OjU1NT5XK51Wqdnp7CcwQCgUQiYRgGcW9XcA3gIdkRznkymQyFQq1WC2l8Vyvxok1HyhObXqvV+hV7lgmbyr2SwdPT07W1tf39/XqzIZmSTHFDwPdwQwjObds2BTcss1mrbW5uNhqNSCQyNTkeDodN0wR+bDRrxWLx9PQUFVO2bdfqlUaz1mq1nj3/IZmKT8/McaY4Y4qpPpmHnAdW0+fz1Wo1yfp5r/Pz80KhMDk5OTIy0uv17F7HMIyRkZGPPvqo3W4HAoF6vX52dmaa5uTkpBCiXq+fn5+fn5/btp1KpZDRZR6udhwHJ4iy2ezY2BjqiLkX/EBLdX3WZUsIobTKOXqTaYlruNPT01Mp+9l7aCy0em5ubnt7e2NjY2tra2xs7ObNm8qjTBBZwQwlEonx8XFUoezs7AwPD8PR0TiVR/natr2/v//q1avZ2dlcLmdZFmP9qOSK8utiQSi6UqkgVAPKRVjOvHT6u0EErUb/+pejnivOloSeeXVp+KXT6VQqlUAgAHeEZUf+CUH+yckJqmu4V5PLOT87O1teXu50Ordu3ZqdnQWBxD1Cgcamq4puphljsVgMunpwcDA/Px+JRBhjuVxuenr66OioVqvh7AqFjVDIUCiUzWZjsVitVmu3247jWJaJipdkMpnL5crlcrFYrFarpfLZzOxUKpWCJGMYZAhItEqlEnYwEAgEAoEXL148ffoUObBIJPLgwYNsNkv8H3kUmqzhld9gkIFAACSl4x25IatHqEpKCU/juu7bt29v374dDAaF2a/splisVCqhsA8lOnCE5A5N7wBLp9N58eLFjz/+iAKeSvn89u3b6XQaF9nd3X358mW1Wm21Wihv4ZwXi0UU+VcqFaEdbTDJqxBt0Ov1KpXK0clxrVY7OTlpNpucc9S9FIvF3bdvTNO8c+fO9PQ0gsNarfbkyROlFEqOXr9+vb+/j2oH0zRnZ2f/9E//NBgMttttGNSdnZ3z8/P33nsP8QLzQjIiDq+8oO39QcPlaVkoiiaYB1xR81yvN1HegI3EZ+Lx+OLiYqlUarVaKysr4+Pj4Fq5drRLKRUKhebm5t68eVMsFo+OjlqtFso5SPFgLm3bRiFHqVQ6Pz8HThYab8Lege7MYxDq9frR0dHJyUmpdBaNRgcGBkZHR4GDQFxRfHPFnYIPcQETNJKf8Kpt2wjHwuEwKDTuJTVd161Wq8fHx7u7u+l0emRkZHR0FHYNClOv1ze31tudZiqVgnKSVh8eHp6cnOTz4/Pz8xA1drlySV0m/8nWcI82i8fjqDZbWlqam5u7du0auLeZmZlKpVKv109PT5Hzd7XSBqUUSlxarRbyxLgmlG1wcHBoaGhyarzdblcqlVQqpWNypuUCoEWnp6fLy8vFYtHn852fn/d6vZcvX7ZarXA4DPeQzWYTiQTYeMJimAs0nIQE00f4zRgDnKH90o2g4zjpdHp0dLRQKBwcHCDlAc2niFt5Ffu4FKbvaocpqfT+0aNH3333XSwWm5qaOj09XVlZgT52Op1MJoMYwe/3Q3OhoYlEIpFINBqNaDTKNJ7LpI1HkuDg4KBYLDYaDVTRp9PpXC6HOtNut7u2tvbVb3+TTCaTyeT09DTiItu2d3d3a7VaKpWanJwslUqZTAZyDK+YSqVu3LgRj8dt2242mzhUAK4YgkvcMsnQuyZA386+tDGmlEIaAygUYhGPx7PZ7Onp8sHBweTkJPOwH165XC6fz29ubu7s7Lx48WJmZkYIkUwmUVkBMTUMIxgMgk2FzDGP7SekQNQLyqdOTk7Oz8+DwSDV2OmekHwgwMLx8fHbt2+bzabP5xsYGCyXz09OTg4PDwcHBw3DiEajuVwOiWKmqTdJoW4U6BaO45ydnZ2dnXU6HeUl2MLh8NhIDiQwtmNjY6NarVYqldevX+fz+bt37yImLBaLh4eHR0dH1Vp5bGxscmI6k8kwL7WBLI9pmtPT0xikDi70YRByoXOpBOUGBgYymczm5ubu7m6pVIL0O46TzWYnJyefPXv28OHDubk54HyQL1hhwzBw7KrZbPZ6PZ/PYoxtbW2Vy2XMlPG+ydva3E4mU3Nzc4lEgjFmeuf/CNYZhoHck2VZAwMDcLPXrl1Lp9PgR8DeU2ELfu/1eqenp4eHh9VqdXp6GkgQuxOPx9Pp9OnpKXAiwLby2FwhhHQcIUQ0Gr179+7x8fH5+fnOzk4kEjEsk/Jr8FL5fD6RSHQ6nfX19cnJyUqlAqJhYmKCoESn03n48OHw8PAHH3yQTqcLhcL+3tuVlZVSqSSlnJmZyeVyMGSzs7MA2owxEOrFYnF8fFwXp34cjhkeHh4+f/788PjoZz/72fDwMOc8HA5j+bDKtm2Xziv1WnN1ZX1meq7X6/p8vlQyHQpGCltv/vfL33z44Ye3bt2an59HzcbR0dF///d///b/fJ1KpiPhGGeGkrzXdaTLmo02ywjpupwLx5aGYUophTCUUoIL1P8ZXh0xQSniNoERzs7O1tfXpZTD2VHEsX6/v9aoj43l19Y2vvrqq08++ZQx1ul06CSW4zhCGI1G8+zsrN3ubG+/cRx7enr6w3sfhMNhJWXA57dt27Udv+Vz7f5ZaDIK7XYbxaFgBAOBwPDwcCwWK5fLKysrwJxIugphMMakq4TgUirGBOdcuqzT7r3d2SsU3rz33nu5/Kjf76/Vatvb25ubm+sbW3B0Pw9FxsbCypuvUhd17BLnjno9IYQQEG5lGEat1vjxx1fHx8f5fH5ycjKRSIB/pjhFKVUoFNbW1iA3BwcHKysro6OjMzMznU7n1atXT548YYyNj4/Pz10fHR1lXi22aZrFYvHk5GRsbGxqatI0+3lvYg3J20OIuZcc6XQ6BwcHCKRhDmZnZ49OjlZXV49OjnZ2d0D+dbvdarV6enb66vWrzcLmyMgIMEsikRgdHc1mskCI7Xa71WohNOh2u2dnZ8+ePWu320opgFNUxd+4sZjJZBC6K6/fBKRXSpnJZHw+38zMjN/v9/l8S0tLtm1/+umnMzMzykvZwui43iF8SODz58+fPn1aq9UWFhb+4i/+YmBgQHlZ0lwut7u7e3Z2ViqVhoaG+pSQ4xqG4TquEOB65Pz8/OvXr9fX1zc2Nq5fvx4IBR3HKRaLIO1s267VauCA1tfXYRFQFPDxxx8vLi6i1Gd7e9txnE8++SSfz8OeDg4Orq2tffvtt5VKZf/g4J/+6Z+mpqeVUtPT03QOQnl5KNd1mWKG6EMqk84YKqXW19efPn0ajkbGxsYoDW4YBuIlKeXc3NzIyEipVEK1Fo4KRSKRfD6/traGyUxNTVHJcCaTWVhY+Oabb1ZWVvL5vGVZoVAokUjs7u6urKwMDg7G43GIESXJyXW4WgEv/oQpRWUu0EqlUikUCrVabXVlPRqNgu5utlvwCa9fv+52e8orxiTu9+joaHd3FyRNs9nc3987ODhIJZKLi4ugmrFqSJ/AIeDWtm2fnZ1tb293Op1YLBYOh3EqO5VKlUqltbU1oICBgYHp6WkYAuGV31OJZbVabbfbuVwul8tFwhEuVDKZvH79ejAY/O1XX+3s7AAawL30IYMH7CHNuFSn0zFNCRtULBZfvHixu7uby+UWFhaGh4dhU/x+v3L7hvvg4ODs7CyXy83MzDSbzUKhsLm5qZSyLKtarcKewsOfnp4ODQ3BmGLlIaOZTCYSiQghcGjE8U6PAJPDWOA8KRawXC4vLS212+2RkRFoVL1eB04GAKnVavV6vdFodDodzK5cLlerVVwqEonMzc199OFH0FtAMIopUDhYLpcbjQbKumHjFhYW4PZd7awKcbSc82g0GolElJf7SCaTqAG7IHFdl8I66ZX07O3tHR8fu677448/Tk5OPnjwgHlnT3CQrFarYSL6TTXjKFDdYBgGEluu6wJ+VqtVx3HK5XKtVsOtu93u9vY294oyHj58mMlkstksY6xQKGSz2VQqRcm/iYmJWCz27Nmzcrl8fHwMNodfbrtCaFEpxTUE3c/tISQuFotnZ2eSqYcPH16/fj0ajUajUSgDli8ej+dyOUS5qI7A9s/Ozj569AisPupqGGOAatik3d3dZrM5MDDAOc/lcqurq6jZfu+99yisgq3xylGZklwqxZiQ0maXC9oAugzDGBgYWLxx6+DgoM8YOTYkGGEzJIYcvlIKiSWQVcVisdVq+nzWvXv3JiYm4skEE31E1Ov1oAwkE5A5HOHa2Ng4PT2Nx+NIIJmmCS5qf38fpzJQwQYASU6SeAeIyPz8fDQalVIqKRljoXA4PTgId10sFguFwsTEBA4X9v224/gsy3Gc7Tdvjo6OcOtsdmR0dBRs3Pr6uuM4aMeAWIxqwnDw6fXr141m46d3fhpLxIVpDA1nt7YLrU7bdp1wNHLrzu1AKLizs3NydLy5uZlKpcbGxrDv4FCUUslkkqTFcZxCobC7uzsyMjI+Po5PwqYkEonZ2VlMHHK8t7fHvBP+nV6XMd7pdGu1eqPRlFLF44lkUoA2h87UarW9vb2Dg0Mp1djIGCUX6GS767rDw8M48dbr9WA4IHWp1ACOr1NUQtjE9LpfKK8KAIc42+02UuvYfXB4UF3LOztcLpdhKSqVytra2szMzNDQkKk1pEFdPQENYkO8MTCfzx+NRhGodjqd8/PzN4Xts9J5q9XCF8PhcDKZBIk2Ojp69+5dpdTjx49RfgI1Af4Kh8PkHVFolEgkzs7OWq3Omzdvh7NZ7nHGFIhJLadLtsAUXklTOBy+d+9esVgsnp89efJke3sbAX86ncaxCsMwIpHIyMjI7u5up9M5OzsbHx+Hao2Njc3MzLx8+dLV+qhAZxKJhFIKYCEejzPG8vn89evXnz9/vry8PDk5mU6nmVZ9oce3GK5UfR6FkAhVgGYymVAwMjExUSwWbdu2XUd5qb6dnZ35+flUasAwjFartby8XKlUAJ8Mw9jf319dXS0UtoaGhn79618Hg0EAOfQFQpiAzB+4H+41wEilUtA3gEysb6VSOTs7E0KMjo5OTEwQWya1A7CQXYRtvV4vmUz2RcQ7FIxJIbcai8UmJiaAXQ3tOAMy7YVCIZPJQOWw/qBms9lsPB4nHIeUGOe8VCo9fvx4dXV1cXExm80qpWKxWCQSAdkJXJDNZpPJ5OTk5MulH/f29v7whz90Op3JyUkUesApYemk117q+Pj42bNnm5ubY2Nj6XS63W4fHx8XCgXEz9PT06jbz2QyoNaYdybfsqxsNhuNRtFDJRgMlsvlgYEBmEukGzY2No6OjmKxGFrLwNhBx1S/MkXG43FiNNkF6SgoFUe+19A6lxiGUa1Wy+VypVLZ3Nzc39//4Ycfjo6OKMycmppC4kbPODLGJiYm5ufnl5aWDg8PV1dXkWAzvJp50zQpa6M02o9rSdxEIiGlRKnP+fn56Ojo9OwM3BXn3O/3m6aJw3/JZHJhYQHgKxgMjo2NBQIBgIt0Ok32BUk6etXr9ZcvX965fRNBjXon+yMul4qY0uuL1Gq1pqen/+qv/mp9c+PZs2e7u7vFYnFzczOdTg8PD3/++ef45vDwMK57fHyMk7mu66KcYG1tDaUOcPsAY4Dr9Xq9XC6DiQ2HwwsLC0+fPi0UCj/88MPHH38ci8XAyijvtBZtnuw37xGGMDnnSijHcaSysSuO44RCoWg0Ojg4aNu2I13GWLPZXFlZEULcvHkzGo2ZplmtVvf29iqVCjAedDiZTA4OpsPh8NjYGO7GOeOCd+2OZKpr91qtlmVZOB1AfiCbzX7wwQfVahXkE/DbyclJuVxGQfEvfvELHLYXWrMdgp1KKXh+5LSEEJLRGdherdZIpzO2bVer9fX1zaGh4Xw+rxRzHJdzIRXnwgR6Gh0dzefzg4MZCLfjHQhztVY5zOuQg+CoWq2GQiFgARATjUYDhXrca5WTy+USsfhvf/vbtbU1UOtI33a73Xa7jSSZ3+933T7XFQ6H9/f3j4+Pw+EwqtywI8RXT0xMjIyMoJamn68x+kVyCHFTqZTruuVyWUoZj8dRfBaNRjOZTLPZDAQC6dQA8vCmaeIUnduv3r9ocwBpFt65ZvdyCwalLpKviGFXV1fX1tZOT0+LxaLruq9evdra2sJ2YBbRaDSdTrteISYi/+Hh4du3b3POX7x4sbGxkUgkFhcXwW0BfZheRzaKE5mWtUWIDr1wXXdkZAS0mkv9cgTnnKdSqWq1WiwWkRS4ffu2aZo4nwMIgMP/QK8whaVSqdvujOfyy8vLB3v7x8fHqGS/4ueZEqhJpVe/KB0y0ev1BgYG7oTvZLNZdFPa2dlZW1vb29t7//33o9GoaZrwLUopIGrl1W9hzxhjqEwmssDv90ej0ePj483NzYWFhVgs5vf7c7ncL3/5y2fPnq2srCDBc/fuXaSdgbdBzAqvjRfnHH4YHpXsseM4wjSpPMsUnIQDrg/fhdy4rvvDDz9cu3atT4OPjcXjMaZl77hXy9XrOWdnZ67rJpPJbDYrvOMccCmDg4NIVQAMSykRM3/11Ve1Wg3hgLrcFqaPsjyD3e12e70esgk4itvr9dDU4de//rVSanV1dWdnJ5lMDg4ORiIRxzvGH4/Hb9++rZRCmMpYPwOUTCaj0ejh4eHS0pJSanR01PROfYEOePPmTTweR8SOMGFjY+Pw8JCy9Ej4SylDodC9e/eCweDW1tY333zTarXm5+evXbuGAx1+v39xcdHvDyilFhYWUqlUuVzWKRtQAKOjo5B+zjlKXAiHo8XV0tLSysrK9evXM5lMo9F4+/ZtuVweGRlJJpNIuQWDQfhDwTiWy7KsRCJBdPoVYEXwityG7n71P1E+mEwmUc0Vj8dRo9lut+F1ieSmbGWz2UQYFQ6HP/roI8uykJsYGxsbHR2FDVVepQnXclX6fZVSAwMD6XR6f3+/1+uNjo4ShoXng5ebn5/f29sD95FOpxOJBKU2mXdoAsEg8w59PX36dHJy8saNG8DjS0tLEAA98icYclX5YdqZV8Yc5Gx6erpYLL59+7bb7QaDwaGhIaSLSIJxxApjgueBzoPPwBEuHEvinAeDQaXU0dEROgoC2t25cyeRSHz11Vfr6+tv375ttVp//dd/jfgHaw0ohUPXgElSyqmpqUQiwZlwbMc0Tcvso0EIWc+xwZqimRlY03a73el09/f3z8/PHz58uLW1lUgk0umBxcXFoaEh5qXfDKOvSD6fr1yu7u/vW37f4FAmk8lwrfGmnjWAOUBGfXJyMhaLnZ+fC63rGRXPca0TKTSBgiB88vz8vFQqzc7O/uQnPxFCBAKBhw8fbmxsjI+PX79+HVALviUSiehRJcGxhYWFJ0+evH79GtTmyMiIUgqU+PLyMkIJzjkc+NLS0qNHjzjnyWRSCIHoAEyKEGJyctJ13Y2NDQwAya18Pv/48eP19fWRkZGxsRxmh0oB4mil1uNMap02La8BoVLKb/kcxylsbh0dHN68segzrU6rXT4vOT27dHYeCYVN03Rth3Nuin7VFg4FALVBgjX42i9upfhFqav1Tuwi8O6T/wsLCzdv3oSbgTWhUn+sMKSUWF6qwnRdd2Bg4L333qvVas+fP19ZWUkmk/hAJBJB/ywyQ/SilYlGYyMjowcHB8hxCCHgwGE7TMNUSmUymXa7Xa1WDw4OcrkcRAgDwO7gBCS6/ViW9frV8uNH3/3d3/3djRs3jo+Pf/Ob3+zs7JTL5XQ6TQy/klxwUx8YlLfv+WGE0EJEKXV4ePj69evj4+Ner3fnzh1UdLnasafj4+PFxUWpHTVDwTa8vfRaBQN5cs5BiQEsSK8bycTExCeffPLll1++evWqVCoB/9u2fXBwsL29jdYu5+fnKJ9EGOP3+yHEdGjM9U7XKq8Vx5s3b1D8+O2333oGT6Do0DCMRqMhhMjnc4lEIplMUsWu8opVIW1nZ2dAB1fOTpEzwU84f8Or1UcxLPVUYV5JD2wHjEIikeCcHx0dYWtRWrOxsXFycvLZZ5+hGnJhYaFYLK6srLx48SISiQAfIsIyvWavlmVZlomIMRaL3b59m1KGnU5nYmIiGo3u7u4uLy+DkUFXLBCT29vb4B3QAQWlUP1MhzD0u2C+yL1FIpGzs7PXr18LYYAigbnHd6VXkmhovUYwbOZ1mIacwMdmMplMJoOislAodHBw8OjRo5OTE5AmSBngpMrJyUmj0UA2nnsvKrOVXgsz7x1OwFvH/FLrBBWLxYR3kBGQ6iIK8xw+eA3m9VbQgQZOhSInFwwGj46OHMdBkb8OQMjxAoUxxvx+P50gxKK1Wi3TO6KLMJaOCZ6fn8NnIBSSUobD4Xg8joOwoNLOzs6ePHmCfApj7Pr1648fP65UKsvLy5999hlBAzTI8cylIjDSP0chvJ6W3W53//Dghx9+aLfb+Xx+eHgYYExqvfqIvMGswI6Cuwb4J6YERVGwjiBsyYIqpVBvi6qG3d3d77///rPPPut2u+vr6wcHB6VSCRih0WigY0c+n8dZHXKkZFkRDhUKhZ2dnb29PYhUIBBAP0PTNCcmxp8+fVav1+/fvx+LxVzXoUt5pQTCNK1Op9NqdbY2Nhu1+vzs3OT4BCVOSKSUdiyPcsKJRAKpV8dr8EYxEfFPuAhSPpubm7FYDN2U1tfXV9fX8vl8KpXCsmQymffff79cLm9ubvZ6vbGxscnJydzoWCwWk8zlXqN+kk6lVDab/fzzz9Pp9Pr6+s7ODmpyOp1ONpu9ceMGMixra2sAWfl8fnFxsdVqlcvl1dVVWAqsA6zJ9vZ2tVrNZDKoyQUNVi6X19bWNjY2ej372rVrIyMjiBTo1AY8BLVjJfgDv4c8KNIEtVotEok8ffoUV0CJLuzdwsLC+++/Pzk5CU4bJQZCiFwuh7iSNNnTZ4sxJqUyjAvnpsNdekePC1zvxB75asNrGMe9IwD6aRQpJcQe+B/l7f/yL//y8OHDVqvVbrcHBweFd06EaZy34dWG4crIESD0oFExwbkQUipX9c+ewvIqr/QA/ikcDo+Pj+OIvt/vb7Vajx8/3t3fG5+cEKbR6XUzmczc3NzTp0+3CzuffPIJYUPX8TrHKKV4/4CMYsqkPXNdt1qtPn/+fO9gPx6P/+QnPxkfH0fWBDQSERiDg4ONRiOTySBERNHL+Pj4xsYGcaRUHR0MBsEXjIyMDAwMuNqpyW636/f7b968+ctf/vJ///d/sfEjIyP37t0bHh4Gj+I4zvT0dDAYhGWlqm99X7Gy6A9XrVbD4XA2m81kMojrQMN2Op1yuYL8wo0bN7rdDs6Bk+twvQNFOEA2MDCQy+XoUDDTembgZWgNLU3TzGQyDx48oCiReVXl9HlYQ9u2I5FIKBRaWlpqtVqxWKzRaNRqtUQqOTc3h+Q5hAyAf2NjY319/fj4uFgsxn8eC4VCkrnkVcizwVOh3V02m93c3CyXy7FY7Pr163CksVgMRfIwCsgVt9vtp0+fPn36dHt7e2BgAJtid3tHR0dbW1uMsZs3b05PT6MkDvbItu0nT56cnhY554lEAtYKhhhMByEUYrkoFkAW5vnz5zjNbRhGoVCAw0BNu1KqWq1Cu5D5s227WCzu7OxgO3Rym1/ulaa0WqMrH9Bf9Kb+v7oeci/EI68ghOh0OmjaY2jNl6empubn51++fFmpVFAK4XrPiTC0duN0YAScOtKZgJ9ECXmkFaCzEYvFUONk23Y8HgfbhdlNTU09f/78+fPn29vbrVYLK/Pzn//csqxAIMAVSyQS5XJ5d3eX/JBhGMLqwxzulcZjFibGBx9Sr9fB3P7Zn/1ZMBhEURHJMVYqFot9+umnd+7cmZmZgcphv/P5/K9+9SvEIZSKw3fn5+dzuVwgEKD0g9Sqjvx+/+effw4kBtQwNDSEIm2gxFgsBvDDvVYtFMI5Xv8WhBJ9Xx0KAloz75AyshJTExOFzU1wE35/3DAM13UoIDe46LY7Ts+uVaq2bd++fXt2ds51pa7ztGpCOx0Bex+NRm/dusU8gl1pTX6UdnLLMIxwODw1NXVwcNBoNKCKs7Ozt27dyufz8DaW191tYmLi5s2bpVLJMsxIKNzXIv20j2JKKoYDTpxLKaPhyI3rCzNT0wjjQ6FQIBREFze/3z8xMYHsPTye3++fnJw8ODhYXV2FITYMw2/5gMPn5+fv3r2LMm1s5dDQEE5zvXz5anNzMxKJTE5OwsKSSlAExN6pcUai7ujo6OzsTCmFYi1UVcfjcbSdjEaj165dQ4Uo0Bx6Y8/MzMDQ8MuB6//nRUKij4F+0teFdmSDvuglFBgxxx9++CG4alSvAPF99NFHjUZjaWnJNE1UK+kmT3mH3GnrGVN+f79srGv3ek7/fcGwp8wwhOu6g4ODi4uLN27cwFEIlAAgTzw+Pp5OpyuVCiRneHj4008/m5+fV0qC352cnuKGqNZrji1jsViv13NsyZh2Clbv8vj0h+/IXyEe44agVqFU7kYMnGAXTawQK8JfKa3Tk9Ce9ATFI5wmvXaFFJVBscG4gAOzvX6jUDB4Qtc7IkJaRwXYwuup2IdJ4sLmOV4THtu2tzY2v/zyy8Vbtz7//HOEZ47T79nS7XaZVK1Wq1KpIMoYGRmJRKK2bZtmHw1SEMu11AD9SXM3vVbqusUkKeQebatXHINl5Jwz0T/kS/QYqgmYVGATgsGgYheoB5kbAq66TNMKS9ZvBQO1tL2nR5imiYAT7eIRbjiOQ62+A4EAcitIBrne8ZhGo1EqlVdXV589e2YYxv3792/evAmHRtqCZcEYKGAGlEU/HygAcBzW5H/+53+ePHny53/+5w8ePEBif2lp6cmTJ7Zt379/f3Fx0efzwcogSiUGiswBLYK8fNzoimO/ggh0o6AuNzgg803P9jBNk9JJMJEAy0qpoaGhqakpYEmIAbE8jtesgXN2fn7+z//8z7dv3/7pJw8QxZC3UF6QWKlUbNsmVoWsKiLZw8NDICCkRWKxuOM4nPcn7rru119//W//9m9jI6Pvv/8+Es/MO+YohDB91gVa1BcLSFh5FyK4opfuMK/HE7sc0RlaHb7yGE6p1eRAUcGKGV7fHoqs0OZNeolx+ul6/QUMrcUa0zrbmZA2IYgS54oZXOCn4qLX6zGppOO6rnt8fJxMphq1usGFaZqmYfZ6vV6nK6WsVCqrq6v7+wcInpFigLaQOdelRM/e6y6OSDJdOsn1Yds453pBCJ2rE0LY3R5jzPL5XdcVhvBFrGg4gnXrh5TmxZMOr0gwQTs9xciUcno2Z4xJZds927al45qm2bU7gnGDi3AwFAoEuXcIRzJFLD365Eqmeo5tGIbps1wpuSFGc2PReKxar6EYbGJiAnUNtOnW5SeRKK/AFoUGyOdDIhGUwQEo76GMUHKfz3fr1q1cLkf5f9t7dCJ5DloEsrN6FMAuv97VfHY5X6jbAphmCB51+CQrTzoZj8c//PBDVDco75gM9zIFvV5PcSZMwzJ83W631W4dHh/Vmw2c6oFqSK25G6IGkB2m94xJw2vBgsAKxwcM76EDsl+A3IfSpmk+ePBgeXl5e3t7a7vwZ+af9xzb7/cL0xBeaSwtlEkbdjF5fjWOEt6DIskHcu2kN/dOPple316mPR3pItjwykKlVs9je61UCSwZ3tE6WhGqY6PBMI/kl1Iyr3hGd7OEVgBuKZuK55aResCQdbvO6ekpauPD4QhEGaXK5ApI//UbMY+JIVGwtAeqkfQLrdc9nXUDYlJa5aLjtVQJhUKw9LQIwuPSlcY/McaYunjCnM4vKO+EL/MeTKK0FnGu6yK3RJkOCnGllK666AyDxA33nhWFmQaDwVar7fP5/uRP/mRoaMjgIhAIkL1TGtlGgyHllFqTD+ElusBsoS/N8fGxlBK4D45UKYXMEffqEUgDmcb4sMt+nr2D83W1pw9cQUz6+5A6OtBJ2T6mnRqA/cJBI6ZBMILMlmUpzihoj0ajY2Nj2WwWZeCUEmLvxInYF8451WtyDW/SJ13XNU3Lsqx2u+V6D9ELBAJ/+Zd/+a//+q+5XA6Iz/VeREZipiblYGjyFBVIL1NNkTZdyPSec6Q8zh/GCb9Aq4EwdWNMs6Udoowg5MyyLNvpYr8ZY3av/xAuMlo61Uf2gmxHj56l4TVIwjr6/f5ms3l6etput9FKBega+tBstl6+fHVycnr37nsTExPpdNpxnEAgwKVyHId7Hv6K82caP0wy515uHauL17vSyRDgWJbrONKDf/xyM0XOOVlVxwvB6Pro+U/LS+w0GWXOuXJdxRjn3EJwB+eJiyvFGbPoVIUQjHOf5dOzpzQSxzv66XhPHI7FYrdu3bKMi0yVutwdmJQfv3giJAzD8gTXxCOhwEPZdo8x5Th2p9P2+XyWBW5fEKJkHpmqrzNt97u/092Z3gHlMi7QjYiuCGShmAf0SEs55+gyLoQIh8NoaUNTVl4zawA0V6HMod8FNxaLzc/Po4sc03qN4JOMMem4UmsVRTeFASLUQ2bUlVL2ekoxvz/gOLaUMhaLTU9P//3f/30+nze8uiN6jjPJHkP3XoSpks6u2g7BNrqH8FJ3ot9cU4HYI/VzvId8GIaBthb05A8sHIq09AIVbCGxCX2B8HLXlveAR9PrC0gqRHaRe8c8CG7p/4s3mRcdAZq6rovDfCgcQJbu9u3b6CkGVhLbJm2stfuuf1Baz3zMnXkchK4zZC/wguntac8a8vl8DJVhmhODbbK9hzHQ8pI4XhhQdul2ZKAN7TiAoRUaQW4IUwivp5XwOBpXKadnM3FRRgEXh7ICxhgV3lGyBo+gNrQmWTqwpF+kdyocZTkEJPHdw8NDEBDgt0zvmTyO41iWD6oF3EHe5Qrk0ZGF+mOY/90X6SqpPV1EeXWrdC+u9SZA/AKOqdlskqIiT8G0lqecc8GxJhdx609/+tNCoWBc7rMM20b4Tn+oOZoOQpivTNx1XcYFeWW01Wo2m4ZhzM/Poz6anAEUlm7KGDNpt+C3MQg81L0/IIT3rJ8Jc/4fFpTUkqoAqJUS+QQCUcw7dAGjQ4sl+jlJphSH29d3S0rJGFeKcS4Mo7/HkjFumEwpp98pnfV73bhSCENKJQRaOLNAIEjlX8ARqN63LGtyclJqfa9gkhRTTEk0YOf8UjKJBqYFXYo+wC+wHGOaw+dcIB1NsscYk1p4pdTFw0joJwLO/i04Z+rimADjF08N5B4lqa8nY8z1rADsCzYUQQiDZTcMhsaDnBueLEIABOdMKtd1DC6UVJxz6UiDA0E4AZ/fdV0pGOER6eWD9SWinfXe5EIYOB3AGEN+K5FI+Hw+PLIS7BqpGQWG/KKG7490SdT9NoHnK/KjLlf+6D+ZR/LTmGGgqbxPefQT/hddqjBfw6tDRyWLbmex4EwxwYWSqtvrmqYpLHFt7hpjTDoXlFn/yowrpQQTvU6XMYZjpj3vOc5kpim8YoxJ1xZCCC563a5lGD7Tcm0nHA43m81QIMikEowLLjjn0nEF40wqzjlTTEr5fwHfaX6gEO88kwAAAABJRU5ErkJggg==" | \sin ( - \frac { \pi } { 4 } ) + a \cdot \cos ( - \frac { \pi } { 4 } ) = \pm \sqrt { 1 + a ^ { 2 } } |
"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" | \delta ^ { - 1 } = ( D ^ { S } / D _ { 0 } ) ( \sin \theta ) ^ { k } ~ . |
"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" | \sum _ { \alpha } \frac { g _ { \alpha } } { g } \chi _ { \alpha } ^ { ( m ) * } Z _ { \alpha } = \sum _ { n } \mathrm { e } ^ { - \beta { \varepsilon } _ { n } } \delta _ { \Gamma ^ { ( m ) } \Gamma ^ { ( n ) } } = \mathrm { e } ^ { - \beta { \varepsilon } _ { m } } |
"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" | { f _ { i } } ^ { \prime } = { M _ { i } } ^ { j } ( \gamma ) ~ f _ { j } \quad , |
"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" | \tilde { N } ^ { i } = \operatorname * { d e t } ( g + \mathcal { F } ) ~ ( g + \mathcal { F } ) ^ { i j } \mathcal { P } _ { + } \gamma _ { j } + \operatorname * { d e t } ( g - \mathcal { F } ) ~ ( g - \mathcal { F } ) ^ { i j } \mathcal { P } _ { - } \gamma _ { j } ~ . |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAC8klEQVR4nO1a23GDMBDcZNyAUgIugZRASsAl4BJwCXYJUIJVApRglWCVwJVw+cDvIGJHJzGZYb88GBat9lY6efzG+N94n3oAvpgFTI1ZwNSYBUyNWYAL9ccqCulbqJ34g1QXgzSUAy0hi0IaSoAB0iikAQXIOzBEGioDsSIQygETIgKDpIEEtCEiMEi6AABoc3cxzT1es6P+XXYDoFQeTE+RLgCYlX243ycYLQAYKAsAJCRghJS5eXyJKtkTByD35XiSdAG7UttcAfjMtg79unbPjdoPT1ikCGCBVdJbQKZwPUqtm3ZwoNF2AQDbpOu9qHAQc1tBiXH9QvpO+1MEWjnX4+0CwOJS963cO5+NgNmR87v0MZAO0sX5gya52D0bgVaPcDwKcJGea6lAFbhauTsKkx6Y+dJKhI+AWS7NwOW/k64/V9cSMnZEgB3ZB5Kfi6+jWrW74J/AAGk/qpMbJTK3e+UY88/bc5xW5Ka5vdyV+z/XzyDpvuyYz+eBT1O69mGARqxXPyf70rYvtz5d4XOkpxKyBon7YfXSCnup1hpy43eSnkKsBZsXQj8ZtKukKEdITw5InsHPze0mvzHOauQjHr9OarXKFc4OkBbc+9MMAGiNa6ho80VmObKWvUxaf1Hdr8r9jgB4nwGuOCSqLJNbwqxg7gCfjeyedJ92XKJg5r6E0i1Gl8oXZ+uoTdLcFMxG9YVrPYrojpTWjQLBAkPLuDiO6sjMez8H7lDlzJ1CxTetREhsEwAGiU+K75AUgKZ+QZWalF+RSsaMmVMUzJEcAAAyssdkY3oDoglohY/JNZIMiCjAIBX6jaiHRgG0u5gOyBpAKAB9c6QMDOkIWGQKVh+jOSAdAYUUtKpUNAekI1C0Ndoij1dCwhGAagyVCtEESEcAl/Y/eAZo1wLQL57qXoDo9j6ADOrSeIVAcAFAycc02PjD90KVMl/LpHH+dO+LYH81uEJ6AbpHBAFhMf/dZmrMAqbGLGBqzAKmxr8X8A1X/Q6qrXldEQAAAABJRU5ErkJggg==" | \tau = t _ { j } - t _ { i } |
"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" | n ^ { \prime } \boldsymbol r ^ { \prime } \boldsymbol \cdot \boldsymbol \Phi ^ { \prime } = n ~ \boldsymbol r \boldsymbol \cdot \boldsymbol \Phi |
"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" | B _ { 1 } ( \varepsilon , y ) = y ^ { - \varepsilon } \ln y = \ln y + O ( \varepsilon ) , |
"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" | \lambda : x { \left | \begin{array} { l l l } { p _ { 2 } } & { q _ { 2 } } & { r _ { 2 } } \\ { p _ { 3 } } & { q _ { 3 } } & { r _ { 3 } } \\ { 1 } & { 1 } & { 1 } \end{array} \right | } + y { \left | \begin{array} { l l l } { p _ { 1 } } & { q _ { 1 } } & { r _ { 1 } } \\ { p _ { 3 } } & { q _ { 3 } } & { r _ { 3 } } \\ { 1 } & { 1 } & { 1 } \end{array} \right | } + z { \left | \begin{array} { l l l } { p _ { 1 } } & { q _ { 1 } } & { r _ { 1 } } \\ { p _ { 2 } } & { q _ { 2 } } & { r _ { 2 } } \\ { 1 } & { 1 } & { 1 } \end{array} \right | } + { \left | \begin{array} { l l l } { p _ { 1 } } & { q _ { 1 } } & { r _ { 1 } } \\ { p _ { 2 } } & { q _ { 2 } } & { r _ { 2 } } \\ { p _ { 3 } } & { q _ { 3 } } & { r _ { 3 } } \end{array} \right | } = 0 . |
"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" | \gamma _ { \theta } = \mathrm { d i a g } ( \omega I _ { N } , \omega ^ { - 1 } I _ { N } , I _ { N + 8 } ) ~ . |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAArUlEQVR4nO3S0Q2CMBRG4b/GBbqCjoAjsEJXwBF0BFbAEeoIMAIr1BFwhOMDqV6lUZ+N94V84eSGtDj0flYf3v9UcN0757ZnLSEBUPu2j5VPSzAH6oFRLUC0yMEMHQCSRQ4A6BQLuAdT5xsKyEGvvPMFOUiHoDAV8PQNoQAT0ChZzE971F4Xi9JdeC3nsXT0mwLWkqRdXWs4KUrScDTIGypJCiMA0QLc/7f/LrgB/1YvD1f1BzcAAAAASUVORK5CYII=" | 3 3 |
"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" | G _ { \mathbb { R } ^ { 2 } } = \frac { 1 } { 2 \pi } \log | x | |
"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" | ( | H V \rangle + r | V H \rangle ) / \sqrt { 1 + r ^ { 2 } } |
"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" | ( k - 1 ) N _ { k } |
"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" | b = - 5 + 4 = - 1 |
"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" | \{ f _ { 1 } , f _ { 2 } \} _ { P } : = \frac { \partial f _ { 1 } } { \partial q } \frac { \partial f _ { 2 } } { \partial p } ~ - ~ \frac { \partial f _ { 1 } } { \partial p } \frac { \partial f _ { 2 } } { \partial q } |
"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" | \mathbf { R } |
"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" | G _ { \theta } |
"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" | n _ { y } |
"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" | \mathfrak { M } : ( x , t , \omega ) \hookrightarrow \psi ( { x } , t ; \omega ) |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.