image
unknown | text
string |
|---|---|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcUlEQVR4nGP8z4AfMBGQH1VAnoKKivcMDJ2zkIVYkDmd71czdFScNcapIFRJ8OxqpQ5UO/6jgN2C5agC/9EUvGO4i6YAzRf3BO/h9+Zq4z3o/kQybdX/8nflSv9n4nSDi+CZ/7sZjM+gKGAcTZODRgEAMs+FLPFoRu8AAAAASUVORK5CYII="
|
x
|
"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"
|
\rho _ { S } ^ { \prime } = \sum _ { i j } { \sqrt { p _ { i } } } \langle \psi _ { j } | U | \psi _ { i } \rangle \rho _ { S } { \sqrt { p _ { i } } } \langle \psi _ { i } | U ^ { \dag } | \psi _ { j } \rangle .
|
"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"
|
- { \frac { 1 } { 2 } } \int _ { \Sigma _ { 3 } } X _ { 3 }
|
"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"
|
\begin{array} { r l } & { \frac { 1 } { k ^ { 4 } ( p - k ) ^ { 4 } ( k ^ { 2 } - m _ { \mathrm { H } } ^ { 2 } ) ( ( p - k ) ^ { 2 } - m _ { \mathrm { H } } ^ { 2 } ) } } \\ & { = \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } d x d y d r d s d u d v \delta ( x + y + r + s + u + v - 1 ) } \\ & { \quad \times \frac { 5 ! } { [ x k ^ { 2 } + y k ^ { 2 } + r ( p - k ) ^ { 2 } + s ( p - k ) ^ { 2 } + u ( k ^ { 2 } - m _ { \mathrm { H } } ^ { 2 } ) + v ( ( p - k ) ^ { 2 } - m _ { \mathrm { H } } ^ { 2 } ) ] ^ { 6 } } } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA/0lEQVR4nK2T0XXDIAxFHz1dgBXoCO4IrJCMkI7gjFCP4I6QjmBGCCPACPYIrx8OBtk6yU/1JaQrCUlgiOfy9sJ/AH4+jDHn4XMzGFFiOS+dDRFANbORux1JMnn4zQbhf9g9ehVwmFbFYtSAEe6RCYUk2XQRcFqVCHgcLzlvcR5dzVuBW4ETcKlALRHRrcoVsNokCzBAXKECYY2L2aPk0nYRr98ZrinxLv3h625jm0AAOQ9xsohwbUxtGICfyQTcmvlXwMH2JDkBSQXSOJMke1iqQJFT8xjksvYT1ecAZNnEAQh4AcjHoADL7qyU8E+BHHeG3bLwe3Eyg/n3z3uQP8+ANzHeVLG6AAAAAElFTkSuQmCC"
|
q
|
"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"
|
0 \leqslant m \leqslant \ell
|
"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"
|
M = 0
|
"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"
|
\approx 1 / 3
|
"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"
|
\langle M \rangle
|
"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"
|
M \leq N
|
"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"
|
\mathsf E ( E ^ { \prime } ) = \mathsf E ( H )
|
"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"
|
\chi _ { x y z , \mathrm { n o r m } } ^ { ( 2 ) } = - 0 . 0 2 4
|
"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"
|
\mathbf { B } ( \mathbf { r } , t )
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAs0lEQVR4nOWTXRECMQyENziohVqohSKhSDgLsQAS7iSchSLhLICEImF5KD/t0R7PDPuSme03mU0yFWJbuy/vPwjc9iIicphKk4U8RjKqhb69CoDPVWMHsGbhWhUQYeZNgItFuGwBSYEy4RqYjdHZPaN+AiNcIpPD2AYiXCLJpWpRAB6PIeHawMuvOpS38LmcYTvHuuZyQmgfCznDgKEzpsJoPFqE1NuDGgC2XAJJ+cN/0dIdFwGMWyTmhDMAAAAASUVORK5CYII="
|
\delta
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAiUlEQVR4nGP8z4AfMBGQH1VAhoJ0oXsMDIz30FX8R4CZHf/fufxHA8hWKL1nmDWT4X3FHmQDGJFicw+DIIMxA4PrbpyOvHfPmIGBQel9BQ4FZwVDGRgY3gvuKUcSZEE2IZSBgYHh7D1BQewmQN22p+MsDm8a3/3//////y7/yzuQvMk4miYHjQIAYmtTEvbaVOoAAAAASUVORK5CYII="
|
\gamma _ { k }
|
"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"
|
\begin{array} { r l } { \overline { R } _ { 1 } ( X , Y ) } & { \equiv \widetilde { P } ( X , Y ) \widetilde { R } _ { 1 } ( X , Y , C ) + \left ( 1 - \widetilde { P } \left ( X , Y \right ) \right ) \widetilde { R } _ { 1 } ( X , Y , D ) } \\ { \overline { R } _ { 2 } ( X , Y ) } & { \equiv \widetilde { P } ( X , Y ) \widetilde { R } _ { 2 } ( X , Y , C ) + \left ( 1 - \widetilde { P } \left ( X , Y \right ) \right ) \widetilde { R } _ { 2 } ( X , Y , D ) . } \end{array}
|
"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"
|
i = 1 , 2
|
"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"
|
F _ { p , b } : \mathbb { N } \rarr \mathbb { N }
|
"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"
|
0 . 1
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAq0lEQVR4nO2SQRHCMBBFXxkM1EItxMJaAAm1QCUUCa0EKoFIYCU0EhoJyyGhQ4ABTpz4l538/ZN9yWxlvNfmQ/8f+DawfTh3PYSONmrTJscKLb2ZmZzNzCUnB+Yl1WFezUNybgxH4h4IDeAFQEvIiHe5j3fPgUlQgWkHoAKMwj2kLCbrXMxslkyVn+k8NagDwtj4qPWpLm642DCs4IUyg8bQvv7J6r+0vwpcAbEblKN3caTUAAAAAElFTkSuQmCC"
|
y / D
|
"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"
|
L _ { X } ~ ( B _ { X } ) \equiv { \frac { N _ { X } - N _ { \bar { X } } } { N _ { \gamma } ^ { \mathrm { i n } } } }
|
"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"
|
V _ { 1 } ( T \neq 0 ) = \frac { T ^ { 4 } } { 2 \pi ^ { 2 } } \sum _ { i } n _ { i } \int _ { 0 } ^ { \infin } d x x ^ { 2 } \ln \left ( 1 \mp e ^ { - \sqrt { x ^ { 2 } + z _ { i } } } \right ) ,
|
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACAElEQVR4nO2XzZWjMBCEa+Y5AVIgBaWgDYENgQ0BhyCHgEMQIcghQAgQAoTw7QGGP8neuc1hXQfaUF2lEg+a5w/0s/j84fXfAd4B3gESAR5Tqm+4N5OGE387lO8hklPlWdUDlcoW8C3ga+fZo3Jj78pw4scKtvIEdSHjoVBZp+SCwgLQ1quZr8C5w/rAqIj3AbbyDHkJuDa29wEEVT4vMh9bIO9hzHYW2dpx4suZL18GqDTOO0/JBU4AdQ+ABVoBaLet+XeI+XJWLeUJRrl6MYvln5JRJw3KJWnIJC2PybA9OfnvP/dBNuZNI23lCbLyJquUvWl0kTJN0t3NV/NNtwvgb81dvoj5/DEHnIt+raStdgnM/UsSyy+SUWeb4tUWZLwe12uqpzuUkFR3mWnKtHGnT0nZNHUmseraNUmy7jwfEpL0Ik1RPobo8iK/SDLDfX/DlB+K1DhJmmyKNwe362a/3q6hcSqvtzppbySgyNap0xcA1kNrwM+vlw0ARR/x67Q4DI0j+gqgysbYHpxDQFVs/RagLfrRtuCyAGCqOoSyjfl/v4ahzGwPwaqo03IB/bgploEVwpw4AONIG0KSZ4m+28FrxHKdOo5z3XPGkV/mS/16FL+Un7+Gme22kyn+MJ54uyvfQUIehfQvx+qBd4fyPZzlH+//Be8A7wD/fYC/MZlYW5eBJJoAAAAASUVORK5CYII="
|
V ( 0 , S ( 0 ) ) = X ( 0 )
|
"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"
|
\Delta _ { \mu \nu } ^ { \alpha \beta } = [ \Delta _ { \mu } ^ { \alpha } \Delta _ { \nu } ^ { \beta } + \Delta _ { \mu } ^ { \beta } \Delta _ { \nu } ^ { \alpha } - ( 2 / 3 ) \Delta ^ { \alpha \beta } \Delta _ { \mu \nu } ] / 2
|
"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"
|
T _ { n }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAcUlEQVR4nGP8z4AfMBGQH5IKXBkJKFBSIqBAkJAC/G44C6He30NR8R8BYELlSGL/WZDUrhJkWH22A92O/yig3OU/GqA8JFEcqeSiJOiihNuR5QwMDPeMjRlc6OxIdAXv8fni////LgzobmAckfkCEwAAnpKWVmGmWMEAAAAASUVORK5CYII="
|
^ \ddag
|
"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"
|
j _ { \pi } ^ { \mu } \equiv i ( \pi ^ { - } \partial ^ { \mu } \pi ^ { + } - \pi ^ { + } \partial ^ { \mu } \pi ^ { - } ) ~ ,
|
"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"
|
\begin{array} { r l } { \nabla \cdot { \boldsymbol { u } } } & { { } = { \frac { 1 } { \rho } } { \frac { \partial } { \partial \rho } } { \Bigl ( } \rho ~ u _ { \rho } { \Bigr ) } + { \frac { \partial u _ { z } } { \partial z } } } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABF0lEQVR4nNWTXXXDMAxGlTEwBVHQIGgQQiEUNAgpBFNoIYSCByGF4EK4e0icpul+3nbOvidLvpbOJx13yM96+eX+b4Hb6a3rXt+vy/my5VlVVJKJiPiZaqFlzTegpGEGSqiIurnVA6B5KxWafIsakAMoAUDVCY5AXwASADHwDPgSTMCU6h5oNq+brdOQHgaxcGMGJpkhKw9agWqFav5g5zAHd/X6XGADmo4FjkAoQO2T9fNXQE0ZwEYoXvbAOSIXCAfIDjD1d6CauYpInyaA4bx7KwBjAPNoIim2drPeAV+2ky2SNBvV4g5EAIxppkYSzTNkHXYuqg0R6hWgZhURSePaqUNE5Ha5Sm9tPR8Xsb4F3f/6Wd/oE5BD5BESl/pBAAAAAElFTkSuQmCC"
|
\mathcal { Z }
|
"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"
|
S 1 = \frac { 1 } { 4 } \times \pi \times 6 ^ { 2 } - \frac { 1 } { 2 } \times 6 \times 6 = 9 \pi - 8
|
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABPElEQVR4nO2Uy3GDQBBEHy4lsClsCiiEUQg4BBTCEgIKAYUgh7CEIEKAEEQI7QNojT+lj+WDD5oDNUsxr3q6gUw8Vi8Pzj8B/wKwAvZv6ZjXvwEMuRlAt/aH+yVICr0k6eTcUXcXkg5Tm9PcPy9SFwg3PH+KMV3VLwENdn28L8y8jwqAhVBKWs1WdNUnAxfBEFPXVY1nXA8MkW50XTOnAIyvHNwC4PMf/O420YProTSMTe3mFCTZLQZasTyFKbJJQdWG8mrgbWsVUHoAtjaJXAHsd/blDRyGj97OACwHpk33eTHflnR0/jRHkfQtYGkDYtLfpMhXMG7HOBvYnhcpjW/laA1gdHRdA4y7GpCKZOChvORhA1GK9UnHPFhZxxAlZSI7b9kSLn6M1Q7vQgGbnLEdQED2/K0/AX8BeAdPDcUAnAcMawAAAABJRU5ErkJggg=="
|
Z = \epsilon z
|
"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"
|
y _ { k } \sim \operatorname { P C D } ( H , g , \mu , \sigma ^ { 2 } )
|
"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"
|
\begin{array} { r l } { C _ { 1 } } & { = \frac { 1 } { \omega _ { 0 } Z _ { 1 } } - C _ { 1 2 } = 6 . 3 5 2 ~ \mathrm { p F } , } \\ { C _ { 2 } } & { = \frac { 1 } { \omega _ { 0 } Z _ { 2 } } - C _ { 1 2 } - C _ { 2 3 } = 0 . 9 9 3 ~ \mathrm { p F } , } \\ { C _ { 3 } } & { = \frac { 1 } { \omega _ { 0 } Z _ { 3 } } - C _ { 2 3 } - C _ { 3 4 } = 1 . 0 5 8 ~ \mathrm { p F } , } \\ { C _ { 4 } } & { = \frac { 1 } { \omega _ { 0 } Z _ { 4 } } - C _ { 3 4 } = 1 . 6 8 0 ~ \mathrm { p F } . } \end{array}
|
"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"
|
\tilde { C } _ { \tau _ { i } ^ { j } } \otimes C _ { \tau _ { i } ^ { j } }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA9klEQVR4nMWSUZWDMBBFLzlrIBZiIRZSCVhgJdRCLbQSaoFIKBKoBCLh7QcBAt0ln/v+Mpl5czMTehbdJGk5tspC0hPcuAQ0etrXetJXLnCrkQs82WSAAXwRSi2lJHmYNk+5ooGENIEvIqMt72UgQigsY9h1MB8Ig98lUEEQFQSZCgKmhkAFQVQQZCoImBOEeAEIO4TJ5r2Pt6uHedTYrejh897fyeWld1AalG+YHTyk1eDSHacAk+W+1LfdfgRIQj3Zt3dXfSY0In6nztsY0/0wgwZBI+AxvPG+PXbfEv5Qg+Zffar/TUjzjPW7XsEBuHD2TAB+ADKJdt9GZu1PAAAAAElFTkSuQmCC"
|
U _ { 1 }
|
"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"
|
F _ { \Phi } \widetilde { \varphi } _ { j } = \lambda _ { j } \widetilde { \varphi } _ { j } , \quad \mathrm { ~ f ~ o ~ r ~ a ~ l ~ l ~ } \quad j = 1 , \dots , N ,
|
"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"
|
n \in \mathbb N
|
"iVBORw0KGgoAAAANSUhEUgAAAgAAAAAgCAAAAABBIJ85AAAFS0lEQVR4nO1b0ZGjOhDsffUSIAVdCGwI2hB4IbAh4BDsEEwISwgQggnBhAAhzH2ApBFoEODb2ntl94fLC013C6askex9I7zwzPjnpwO88LN4FcCT41UAT45XATw5ZgVwev+o/qB6+fF+2nfFsJP/QhSndu3sm78KOGm9uL5I0LUZUHY4A115ltWaBloDVQsAKgfQNCt0g055bh6clg0Sdt0Qz4Pjs7gemOE0sM0wfCGzcTyeWYpkDdmgTrla8CyiU0B7SYCyAZBjGDPI+arz+bPDZ4MWQCITffz3y7696NlVTssFCbvG4/mwfCkuM5wsNsPwhczW8XBmKZI15IMqLmua5KGoaYazJqL0StNrnywYFrUiIl3ca6LMHitEujO1nHs2O8W0WJCQqxDvS7ad+F5cDmdoLTbC8sOZmWPslgqZxUjG0B/UdXnXLKIFkBVEPe40veYrtyEriCg5E1GfmmNbCoDZB56X0XJBwq7heFr0YnwXdy48GrqBbYPlS5mNY/SWipmFSMyQDSo8vhHRKaDRQKNUBzRK4YK1DkAD7ZABaNKYbBhVaIZP50HCrtF48+scPxyXjdwObKO04UuZjePxzEIkZsgGlaRyZ/+vcLwbQ+t2AFClKM9o9XBS1zVqClwKBaBZ6ToWl5e2R6mmNyVyDNWQKTgtFoSbwrpK8Xw4acbncZmwMWQD26ZsIwmZ3aCOZvYjBTL7g0obsXrDBdCexsYl6ZukQqPaSw60SXleNnaMml50lRYAUNWxQVlUXf5+n2TbsWhP+eWkhnx4/9JOiwXhprCu4XgzMGnGd3G5sDVkA9ukbPlSZut4ODOPFMzsPwO10gb6M8LYA3wlRd/nSU9EWdHfiPpemkI8KpnZzs16rgcoNIed7AuqcZve6ysRUV9QkVzJ9Dh3M7u5IMyUu4bg9wAzaQMr4Asbw4jFQtnypcwU14tkZpHCmWcWs8csnylqIronVyLqURNRpEONUmNNYP1FhTJ/6JqIqK4p1UREil/L1LlpLKBfAGHpmPCWLp0rW76UeReCmZ3ytpsh+4amgIvKASRoNVqsb3/soIahgTKfHxraK4CuY70ZV2emsuu0/9V+AAAKLUsHR8OE5xb+ztpS2fKlzCJiyvYUU950M9bg10NRk1ld3FAT0W1ZMxxRanwZ+OWWSbrmh67gEw9T56axgPNlYEg6JhyxWChbvpR5JwKZnfK2m7HrE6AdUgBoEg1gfT23gzor79y2pVWqBrMNN0yySgFoU94fsfLnpjHXReKAdEx4m4VTtnwp804EMlvlrTdDPBMogMln/snM0UFtpVrk3mrYBhqqK8psFFLTrnmjAUBauuwxXWBN+iHh9dA/nLk1PPPgHAIFoNIBwKeW9ye6X8m4cotTmWx4Hd0is18GTTsmQ5tDnKf3mc6xKv2IcCT0D2fupuKxD84h1AReP4HVda9Ku6mZiVKjSJOmNemzsWMbe5lG7GgeMF2XfmQ0kdA/m9m0nu7BOfgtwfRdwC3WqzhChBpvAnsmkI1dzI2IKF/ZwI7ms5g3gRHp7cLLS9eVH5B+PHNq+8cFObwTGG17XB0d3PV34H1RXl6tprx7ucd0zoxIPzCaWOjj0g9nbtyX7IsPgIM/Cet2bPbvgE5spyi2APsQmhv/kPT/R7l0M8TiwR0rgNOxRjmOojTv5BbgYXyf9N+pXOb2A2D54OZTQNVkG0ptazPbNMPm3wUBAJLsNGmn8W9JjuL7pP9KZb75sHxws98Edp20XDuEA3LfNLk8Mdbv6NvrX8OeG6//C3hyvArgyfEqgCfHqwCeHL8BEEM7yPEstZcAAAAASUVORK5CYII="
|
\left [ \sigma ^ { \mu \nu } , \sigma ^ { \rho \tau } \right ] = i \left ( \eta ^ { \tau \mu } \sigma ^ { \rho \nu } + \eta ^ { \nu \tau } \sigma ^ { \mu \rho } - \eta ^ { \rho \mu } \sigma ^ { \tau \nu } - \eta ^ { \nu \rho } \sigma ^ { \mu \tau } \right ) ,
|
"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"
|
\left ( - \frac { 1 } { 2 r } \frac { \partial ^ { 2 } } { \partial r ^ { 2 } } r + \frac { l ^ { \prime } ( l ^ { \prime } + 1 ) } { 2 r ^ { 2 } } + V _ { e f f } ( r ) - \epsilon _ { i } + i \omega \right ) u _ { i \mu , l ^ { \prime } m ^ { \prime } } ^ { ( 1 ) } ( r , i \omega ) = G _ { l ^ { \prime } L l } ^ { m ^ { \prime } M m } \left ( \epsilon _ { i - r a d } ^ { ( 1 ) } \delta _ { l l ^ { \prime } } \delta _ { m m ^ { \prime } } - V _ { \mu } ^ { ( 1 ) } ( r ) \right ) u _ { i , l } ( r ) ~ .
|
"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"
|
\mathfrak { R } _ { 1 } , ~ \mathfrak { R } _ { 2 } , ~ . . . , ~ \mathfrak { R } _ { N }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZklEQVR4nGP8z4AfMBGQH7EKOhkJKBA0RuUzkhrU7zvvoYn8RwG7jRl2o4qgm9DBYIzXhP/lxv/xm7DHBd2VqOrfoTvhP5qCmehWoltxFsMGtIBSDlViSMPnBgYldDeQHNSjCnAAAPjGof8zaftLAAAAAElFTkSuQmCC"
|
i
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAArklEQVR4nO2SURHCMAyGv3IY6CQUCUNCLczCkDAkDAlYGBYqYZVAJYCE8LBbVlgPeIc8/Zd8TfLnaoT3sflQ/z3guDMmhENljKkuGSFztECD9V0LTrOyADKCPYuI9HArAT1uyl9h1Gy2ZKKxAFioSy4CbhIRW3JxT/O7lDXIgKCNYxmIeEV9GahfZz0fCoZJDPmdFpv5Ci6e1iMiVl2GfVJgu1oBcE2n2vy//XfAAy7igO1UfUkKAAAAAElFTkSuQmCC"
|
n
|
"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"
|
p e r m
|
"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"
|
\theta _ { \mathrm { m } } \rarr \pi / 2
|
"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"
|
\langle \phi \rangle
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAARklEQVR4nGP8z4AfMBGQH5oKzPMG3g0DoYAFSsO8fwfOmkSkCQz/UYFZLprAYPAm5QoYofnCHMo/JaQCZZ1EVUBDNwwGBQBrSyavZvH28AAAAABJRU5ErkJggg=="
|
\pm
|
"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"
|
\bar { n } _ { 1 } = \frac { \gamma ^ { 2 } } { 1 - \gamma ^ { 2 } } .
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA+0lEQVR4nM2TTXnEIBBAX/rVABawgAUsUAmphFjYSlgLWQmJhKyEICFImB4CgeGwe+mhcwFm3jf/DMJr+Xhj/wPg8zy+Y6t0zptyH84kY0xf2ABAWiOEm82EFIFQrosHs2V1Ue4wXbCMYHYNLDBXQDyMGphga4AFjAbGJh0REQOLiMjVh4hT9TuIqlEr9iUQ6YC+1U/wyhCzogG0hwSm7WToihCTy6w5dBESoctBR3iQgex4g5uKYPFqWHPuW5EZdgVMcDT2w14OKcMzrYOQR1mBK6SIyNHYC9Buy92ae6XPpf2Bx9OBSzGuqe5jKbN9u2lX9Q7/4Ou9BX4BgEBxBpHuqg4AAAAASUVORK5CYII="
|
D
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAjElEQVR4nO2ROxnDMAyEz2XgQkghKBBKwYVgCg6FUigEG0IxmIIg2BAuW6Ihjylbbjz9nx4nRxzrcVK/gSuA8nlhchPKczSAM88axcvXh64/Y5oOvXYJQE9+sDO4KCOyQUiJq0kDJN+Y8WdD3gYkkmkgM5oBzA5VgBKAKrqTwxuqAqjWnTPPgrqBa4EZc7tqYD445+YAAAAASUVORK5CYII="
|
m
|
"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"
|
\mathbf { R _ { 3 } } : \sigma _ { 3 } \rarr ( \sigma _ { 3 } + \rho ^ { - } , h ^ { - } , c ^ { - } ) .
|
"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"
|
f _ { q } ^ { - 1 } ( \mu ) \varphi ( \mathrm \mathbf { ~ k } , t ) + i \mathrm \mathbf { ~ k A } ( \mathrm \mathbf { ~ k } , t ) = 0 .
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nN2TXXEEIRCEv42DsYAFLGDhLKwFLKyFiwQsEAlYwAIWOg/HX6W2Lq+p9NNQ81HT0wWHeK+PX/p/F/g6PtdBN/KUWd8Bkah3QDXXboCaRxWYZRlAiwY8kiQlHrMfOlCsOw5VzWwOyB2ohns2lWjYM3LN+VcHTs7uwwNhGQxRQmqjL+lkOVAmSUiZtVUEfO0Wzb3WjOtONXcZFptUT0gdWLkFsooHvIPXZKSQRr9H8PQALo0k07CwIqg5159RS9ojmNqAvEdwB+yv4A4o+ytYOv7vx9n1DWUT2JdTGUuiAAAAAElFTkSuQmCC"
|
\nsim
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAoUlEQVR4nNWTURECMQxE9xgMxEItFAln4U4CFmoBLGDhJFwsVAKVQCWEH2ZoExq+bz+b191NZzoJfJ3+zA8J1EtZ7x7wIHDoTs49wDG83IjcX9cOXGvlSI5DQdQOkFYpipZysAYKMB1VBHYRee7XNIjgT8d2jw7IgQCEedihdKNfgF2iAbYNvFjg+9TrgkQekCgnO8dk/wUzY745wKjkkYE3Vgha4iuiQJoAAAAASUVORK5CYII="
|
f _ { 1 }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAT0lEQVR4nGP8z4AfMBGQH1VAPwUsKLxJQqq37zSgqviPAhhu/c9FFUG14qSHKsM7fG7Ybs7AsB2fgpOeDEs88Sk4Zc4gLISqgHE0yQ0dBQAaDipVTEeBNAAAAABJRU5ErkJggg=="
|
n
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAo0lEQVR4nN2TQRUDIQxEhzqIBWoFC7UQC6wVLGBhtWCBSpgeyhYWWHrta05J5j8SEjDE2m5f9B8GntvdbMXnaNkLNJVgBJKK+PQJeyApxOcmcQZ2hQ35lGqB3cGGvmIFooMb5AoEC7eP8gEEi8dUPgAgzuXmhHmB2kN0yx7Ii0t2c9DlHMjJoGe7kNUuSDJ7Eb3eZkFW74EkGSz82zN//HEaewEHMQl3rIfuPQAAAABJRU5ErkJggg=="
|
<
|
"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"
|
\begin{array} { r l r } { S _ { a a } ( \omega ) } & { = } & { \frac { \hbar \Omega } { N ^ { 2 } m } \Bigg \{ \frac { S _ { X X } ^ { \mathrm { o u t } } ( \omega ) } { | \sqrt { \kappa } H _ { X F } ( \omega ) | ^ { 2 } } - S _ { \xi \xi } ( \omega ) - \left | \frac { H _ { X Y } ( \omega ) } { H _ { X F } ( \omega ) } \right | ^ { 2 } S _ { Y Y } ^ { \mathrm { i n } } ( \omega ) - \left | \frac { 1 - \sqrt { \kappa } H _ { X X } ( \omega ) } { \sqrt { \kappa } H _ { X F } ( \omega ) } \right | ^ { 2 } S _ { X X } ^ { \mathrm { i n } } ( \omega ) \Bigg \} } \\ & { = } & { \frac { \hbar \Omega } { N ^ { 2 } m } \Bigg \{ \frac { S _ { Y Y } ^ { \mathrm { o u t } } ( \omega ) } { | \sqrt { \kappa } H _ { Y F } ( \omega ) | ^ { 2 } } - S _ { \xi \xi } ( \omega ) - \left | \frac { H _ { Y X } ( \omega ) } { H _ { Y F } ( \omega ) } \right | ^ { 2 } S _ { X X } ^ { \mathrm { i n } } ( \omega ) - \left | \frac { 1 - \sqrt { \kappa } H _ { Y Y } ( \omega ) } { \sqrt { \kappa } H _ { Y F } ( \omega ) } \right | ^ { 2 } S _ { Y Y } ^ { \mathrm { i n } } ( \omega ) \Bigg \} . } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6ElEQVR4nNWTTXEEIRSEv0nFABaw8CxggVhYCRMJa2EtYIGVMCOBSCASOof5ZWpmc0tV+sKBj9dNF3Titd5+2f9DYOxWfbbA+7RY+iA54PZlhxGalPCSpJ6iRkuGkemkRX8+IXLXqRbAM0i6lyugwFmADUgAfg56FnKkl5I7XnFXFAZmJ8BsAVXSUCVJGUIIjn7LkBv33hUpYbsMIwGAZ/cNkDzjzeWdxVKT2Tykmht21yyQJZU42UqKPPY9bOHTnGIl16obPYjHJhsNzuoroDo3SNlfAkaWqsUroMeFENzyPrp/9LOu9QNVOaTo9L7ZsAAAAABJRU5ErkJggg=="
|
E _ { Z }
|
"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"
|
v _ { \sigma } ^ { \prime } ( \phi ) = d v _ { \sigma } ( \phi ) / d \phi
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABLklEQVR4nO2VTXHEMAyFXzol4ELwQnAhmEIohIIp7EIIhSyEBEICoYbgQFAP/pOcdPfcmejkSJ/lJ8medITX9vEmfgH/Gnjcuu+FO0hYsADwwzwyw3bTITij/8qwKktEFLhPABojtcaBCQgHgGvYoNXLMjfoQ7wBzBH4rMtlBxZsriGymDHtHhqRJYO3aoEDbHtGZR3soUhR5qlGvAW68rr3L4TYJ//cvTZ9q2GGzloAAGZtZnFHnybST/M0ADpIYMA9JugTH0dbRfqsMR7uFLzUkJdr+rZwIsOWe2hkRgbILiw+FloA30zhoUbZBysfgFNJS3GnLiQbc7wAs7jQNV4Ap8JpvADGncczMLMEIk4gGu406+ob6+V3EdAA27OyXiQAauDvvbHu+l9cALNf1xYeFULc2yYAAAAASUVORK5CYII="
|
f _ { 2 }
|
"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"
|
( z _ { 1 } , \rho _ { 1 } ) \neq ( z _ { 0 } , \rho _ { 0 } )
|
"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"
|
\operatorname { T r } ( \widehat \mathcal { D } \widehat { H } ) = \langle \widehat { H } \rangle
|
"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"
|
3 a + v = 8
|
"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"
|
\begin{array} { r l } { t _ { e } } & { { } \equiv \frac { 1 } { \beta } \ln { \bigg ( \frac { \beta } { b } + e ^ { \beta t _ { r } } \bigg ) } } \end{array}
|
"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"
|
\mathcal { Q } _ { 5 } = \big [ z = 2 , s = - \frac { 2 m ( n - 2 ) } { ( 2 m - 1 ) n } , u = - \frac { 2 - n } { n - 2 m n } \big ] ,
|
"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"
|
n _ { c } / n _ { 0 } = 0 . 8 5
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAgElEQVR4nO2SwQ2AIAxF1Q1cgRVYwRVcAUdgFlZwBWZgBB2hKzwPhFgPSGK86T+0CX2h/xN6unsNjfkngbSUosQpsQLgV3WGBrwDYDM1wITcR32F9rCb3G1qpdgfxywyFaDsTlbTynCYGzGZNgAXq4A4gRCoAognXh4a+v9XvwQcVHPbxAsGTosAAAAASUVORK5CYII="
|
( )
|
"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"
|
\lambda \Delta + b \cdot \nabla + \frac { \partial } { \partial t }
|
"iVBORw0KGgoAAAANSUhEUgAAAWAAAAAgCAAAAAAJJf1IAAAFr0lEQVR4nO1a27WrKhSd547TALcEUsLaJWAJpAQtQUrQErSEUIKUEEoIJYQSuB9qIgbJY+fsfcceZ37EB2vKcsl6APkVcIOKSgA9ytumv3gW/yTuWQEAhn2xKj8TKQM7DgCWvliVn4mVgX31704JAH3hlP0WjX4YfseXhTz7QgAVSjTF6Xt0+lGIR3BPNRgErOsccW6+SamfhNjARgLKEjTBEZx48CF9UezU+3X706jeoLP+GI9qVxR9SiAOEd6jdZyBedi6fdS+cFyCf0LL74EzbwiBsu9LACgFtEsJxCO4rHZeElCayirbQPWASvJiMCEeMLDR/gGV30S7z2rrV7RZo24BAFyIdFkbG1ieT408AOzIqTkwNAbOvmtsKov9C6Z6jXaf5bV8XplbCJbPVKk6eCROdm27d6gBAKglvVL5vUa7y+rle2ZSUmebtww8jVvq3xdcG8C/8LDXaPdZ5uEUk8eLBq5H/yH1ZKCyDjAJ3zQegGXpd3bGGIsUMUuDNeYF1iw0Rwj7qH+kBTnP8rcMTKP/sPK5weOKHkhNAZUF7NbXarUx7UeKmKPpXWvanX+SNWMewL7Q/cf4ifpknTVjU1Bkg/DvXKNB/2QErkoHpGIbA6w6LFpMdS2SXMeBD5PIw2vagqWrgYCKJbq76SyBeamllSVUXwOLMZ3EpiDLJtPNJAfAW9s9lwgMq7eLusLvPxal/cI1LAf8VsiMaRchXx0IwNYAWLB603sAvdEe0EaPw2+2CpcAjRf55a1NwTvJNLyMjkg2XQgh1PV0i04BIYghBBFCV4dQnqYWMazp4nJ2pGHoqAtBDGveDe3C6i5nd1hlF448hPIYzvLUHUKQ4+1DJBJCJyCPd145KThMmlysECEOEUXyG8gSAEzBCACMGAAAyg/MFMNSUAkOsgTAArAcXj8SYiwzcFziKd5yFOVYxnSAhHYEJhRZ4uM+grv6prVdanlLTxKeeFYwv6wbGzgtO1VsAxgBpp767U8MImK43reAI4wOaEts1PJWAbAFgAEAbCmBfV/f4cUst+g5xzIcIIIFAK67asfXyc/vD4B1Q0ucL2u3S9HQ3BHMIjZwsyEFAK6dTogAwBIDHC1jtOokoOz0mt7S1iyF1wCuWd42APgcFDd5MWs1FjZZURLh7gDdEi3v+/2BAE1wIl7eWhtjSzAfgrNVRKypnDxltARZS14tX1N7CQAOALj1VqAiAcVLqFWxx8T8AwDeM8D2x4jX+1r7MsMSe0mw1YHfYcnWM/RlWQAwUjMurQeAeQz6oiH05WV5K6VvQjDRUxqbBh53Phfgq+tmzz1fKOLVAQBEBQC82TF8iAZo9mVyOeNabWhfwOPAI16ptE3405UlmoL8VKbnWHyoSs/Am0paNKoXQOTdhWtbz8qyqKxCt63vSpBde3KR9J5WIWgrYdIphOZOUg3imMqfYxKnbrySoTwlyoFBhBuI4co78nO4pUWs4/kx1vF6OIfTaaP/hk4LfTMYBceeQri+/Xg8r6Q362DH4XKzbOcB6zIZdA5TG8sZfIs68nyfbI9YywSQY9H1wDA73W31Kh5dfhE86slGHrGeOKRChFeaSQFbubgKi2AVwR6STR4A7Kwm7Y+41vUX8EQA8Bee33eoGn5De42VAuOrecVsp1HfDKy49gTA23xBkfABasKZ6hDqLusqx4snrULEcA4hnOda/Fhf7t3DcF7wro/6I6ybecEUcCZ9MzjGT+/kxgNHJAzclSEEGsYw/BDSjw4hhDAM8pG3/QaceOru8/rKeUqYtkIiBs87n5urA0/g+eWMLwPniRTzvL4uv0SUisHzzqcV/tO2YW/Z9/ozqNtb0zyvb3unGE6M4Hnn0+iHd2qsUvl1/f8jBN6gs9PjJ9Fq449QvxL/rpzw+Pg1BqC3bCF+KZz//N/v3FQsaQuIVDmRMfBfvAP/AaZDZqUu3c9YAAAAAElFTkSuQmCC"
|
\frac { d \phi _ { y } } { d t } = g \left [ A | \psi _ { y } | ^ { 2 } + B | \psi _ { x } | ^ { 2 } + C | \psi _ { x } | ^ { 2 } \cos \left ( 2 \phi _ { y } - 2 \phi _ { x } \right ) \right ] .
|
"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"
|
F _ { \pm } = d \omega _ { \pm } - \omega _ { \pm } \wedge \omega _ { \pm } .
|
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAADrUlEQVR4nO1Y0ZWDKhC9eec1wJZASiAlkBLcEkwJUIKWoCXEEqQEKUFKCCXM+1ATBUzct3vix+792QVmLuMdGObkQPjd+GfvAPbGnwB7B7A3/gTYO4C9sSZA7WG0hfFvjWYHrAhgHSsbnBt5eW8478e/6emyAqvAm0zW+XsDejfSJ8B5hhxwArL5ub2MA4DaG21/jvS7WBFAAIC1Ctz81E5OXxwA2LrB+Qdl/SaevAJWX7cwWAfgea00HgAvOAA4xqqiiAV40GwvvH5Fx69U7rUiCFh9ZYAXLwic5gC0Lku3aiMuj5BMlk8nbIVmbv0cZZ2Y9OWxvA/04XB8GOmPw0fkQkkIokxIBrqqtMHDsiciUu1TozYjIpItESki6uRTmsF6A263xGR2lfeY2/zW5+gn8/xGigXmKwLcP0j1aYMJVUaU/KIleEuDADdF1Mko8CUNfy7nKzwEqHqiGya2rie6hR8cXAH72ZSfZ4/pklrOn59CIwCAueSp1efj2Edk021tsuluXc4oTzpJk22rkc3HqwqdcwBg40hwwKjQZiFHf4UaEjCermX+R5d5ukd5O6ni46g6KsZkVJyo4HlH+XS3uiIvbq1M0lR8S6K7KZthWHJxbatZuJXiXcCybIQ4hwLA76ot87/640nJr4ODG2tMAcA5AZsBvizAHaDUkI3hbRGNLRjga6iIhq/X0xmEkS/CAgDfzN4yLtnpmi3WwyuQMcBzeI0v4CQzFs82Aq6RAGYl38rHvzmDkcw/NE7TrMO8eqEA+M9ixim5ksEzELTCjo9BJrnPwx9RLKcbdrfmsyWjUAsGQAJ+jGJG6yTQtHAKVgQ0fpsOpnoaFgBAF48tHUd4piMBrBiFlUigjaeEw9A5x7C85NIKp7NsnvkJnqNUHIDmIqCJrU1TRFt4yx1fCWvyuHBvwMQwqhUDbLW0C68AA6yAu2ztgDMLSHk8nw6f4RLTuTMAhxzSHQQIrXkOoCzykCZh7WKJLerUE2W0sXr00LU+n8/TSJzqRlfh2V7WxBsRcSLKUi1GCrepYHfXaGkqyjOreUHuiYjaXEY0CWvxoh2JsfQYRn0bvgFRH8DGRnrjLQSYKgfZfRYtjYkSQFmFi3CMA4DJuA1pYusyf9GORFh6jCMuE6UtkqSVRN2rBngG1RE90p1Yz/u2iqfl8PJL6mW3pElYfzn/gccT/0P0iJr6Cu3Vdsk3n5YFjm2ww/+j+TZiAX4Z/n4V3juAvfEnwN4B7I1fL8B/ANCXM7YW1B4AAAAASUVORK5CYII="
|
\eta _ { i } ^ { ( 2 ) } ~ = ~ ( \xi - a _ { i } ) ^ { 1 / 2 } p _ { k } ( \xi ) \quad , \quad i = 1 , 2 , 3
|
"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"
|
\mathbf { G } _ { \mathrm { h } } ^ { \mu }
|
"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"
|
\Gamma = ( I \otimes \pi _ { \Lambda } ) R ^ { T } R ~ .
|
"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"
|
F = 0
|
"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"
|
\begin{array} { r } { n _ { + } = \frac { 1 } { \sqrt { 1 + ( h ^ { \prime } ) ^ { 2 } } } \left ( \begin{array} { l } { - h ^ { \prime } } \\ { 1 } \end{array} \right ) \qquad \textnormal { a n d } \qquad | \kappa | = \frac { | h ^ { \prime \prime } | } { ( 1 + ( h ^ { \prime } ) ^ { 2 } ) ^ { \frac { 3 } { 2 } } } , } \end{array}
|
"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"
|
H ( t )
|
"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"
|
\hbar c / a
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA+klEQVR4nN2TUXHEIBRFT3bWAJWQSsACFlIJVAKVkEpIJcQCkZBIyEpIJdx+hADZdrq/nfIF713ePdwZGvH7ujzo/wnBFYDpvVTazqXdiw2A0rIESVL0dJukdVMYtSkLIKbdgJPU2TnE0WRBLLPkGCRF75xfdUBOuEzR8QFYw6dt8ysWbMFkgbfn1va3pzy4IEgRosZZISrqejhUFsmHBefIgqo/sfsNJgd1QuCGMTsLOagaQQZfDnxLQeNJffkJwdXAKbuQr6wwlwHJoh7q6HUvqBF8TXgIAi4dN1+ZFUGbqmvf2njuq9HrsrAHPbWuuwscmn/xcR4KvgD9tj3lAsEkfAAAAABJRU5ErkJggg=="
|
D ^ { * }
|
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAAF60lEQVR4nO2a25WjOBRFt2dNAuoQVCHQIeAQqBCoEHAIEAIOwYQgQoAQUAgQAvMB2JKQ8LOqp3rV+fFCCKGj+75mN/J3458/vYHPxg/B744fgt8dPwS/O/56gv/al0M7/Ur59Vv5HDgEi2L6zTNA12noMa2p4//dMRw1cewOjhaSeVSN45iJfPTilC7ERHryT/kT6GIgc0cdgo1SaqKt5ERzhdIWmyxDL+yVap7d9B3IBTcQHMexAaI+9U0e52MiLptxHJsyBoi6wBv9K3wOmmg67xsIloAQEPuOvxGAvEhWSUD4BRUHVOAzkAHxjQSzybq8mtcARL0x0scAXoYgHt3vnWgiEPl4I8EYIO1X4+Msv8i5FQVkqCB5cMNBdH6DzyDuxhsJnhYn6kEECNfiegFE3rcGvPCDaLLIdfrLqyZ/fwvBLgGQ/jdk4Nt07l14jAKa+xD6MhWeqDZDTUp1A8FsWsWvWr0AhEd3pW+8D57T3WiyKBC2bXgJmrlo/bsYZAxI4Pj+ttvtD/pyuxqA+SAtJMBQOYP17NY80MX7frfb7Xa/98fAlDOG6uPtdzEnkCIpr81fwyArIOtjQE3uHyxvGoPfOhuA2BlMwe8RlMnbfcpZODfmRtm1oAPbKtoRN+MogN44qItTcc/DXtm9I8GXADQxINNcqVL69nPBKbukTCIpA9mEu40tgqocx7EDZIksu+WsF6+iwOstR69sO//cnEtyFwOBVLbLkzM55FXRLVyuEBzHcYoSknS+klw8jgqrVMxqr6VXOilGiBUEhGyIjiS/QXQzvASdcokW0GdbTgoYjDsBSIA2MYdqiFbzPo6QLmvrAYSv3qqKZdkkSjz374OPoPD6qsE3OMHjWevJuVoojnDxgxrfGVwgy5AXvgtuy6LFDQXLxbXXWcJoh/X89mCdXc02Qb1/O7ix5wE4EtQDYNfxN1Tt7Wpe5dn8AcgvZxeUYEI1RV9dQBIlT7YNbJM8YXm/KSgaNrzhRd0RN09T2LmNJJzLfZ4Xzew5AjjnYGsa5sqRM7IqlWKs0N8HV5txaYy8Kg6O49STufj7DnOjJYEzb8BJwk/rfLbBTlgV1/KY12QyjpNpMQ3DvkoE4DP7GhCW4bZr86qA2PBe13zMzKk/LS6vLfa/3q/mrmtYdHss3XIUNsNfIaxzrmgdwiPs5DQhlKyu8FQ1YT/h6I2bTLmbnFDiWqCnVOrB1u8tH7PGdj044waCHh9jSqIRIFeFn1y1LErOyd4C5eyuubbbNVSwop/hJWjboMaMZ6tkKlICfXB0/KChtK3JY4K2Oc8m6bGYDcR50z1XD7p6c8JU2C7LurERrnBSEGrsMtPHSSO4zMistabuwKu7pvjWtAg6sclWWAVqavzGF7Xtk6nxq8yZjSchKFm5rys+plPezt4GvAQtFW1tvfElU1KVov59mDLv4fBWibJxcylftyIChnP/oy1gMwms33dv+1+/3o9Oiv8RfiQAKxd1YpNrN1Q1QFrpghygKJCJPuCUGq2PoNRwOC3bj5yztDG819NvVX2kRnU4fFR3G6FF0PYxgwa0Nv4k84RZXazHvP2m7AOq91xCezyKxOOHzmj3xnkdj0k6r3Y8hEo2fdaNoQaIjIzC1NcI08eoeUZpX07bvViSPTRN9OVgRqoTNTnrSHI2PgGIJMuyJeOWWamyJNBgXm0Eq31iSdDWyXrZTuDYQgg0DEsxG5RIM3EkbIJ6QGbTcQxFpTHUJFKBZzYQOMYn4CmVJvRlls3hZCuPUZYrNP+OfCSuvJ5gf8O/Sh0bfW/lhA81103JQ3/GuT2Z57HR0j7jiKdls8B9Oo7R+u68Z8HrCfqCBHUtzXqqwm2MbOOZrx0eEfsmvC3txHKsTk7/qXg5wc5rXdKs5qevAF794gBer6KZJ64MmuGwJCFFMdUlX4Pdl3zSXO8BmcRAXWlIyq/i9xlx0IPOcpnyK78e+hoJwlDpVmuQMkruTY2ewlcR/GP46z+n/CH43fFD8Lvjh+B3xw/B747/ALTkhz1uDsiVAAAAAElFTkSuQmCC"
|
\hbar \Omega / g \lesssim 1
|
"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"
|
\left ( \cos { \frac { a } { 2 } } \cos { \frac { b } { 2 } } - \mathbf { A } \cdot \mathbf { B } \sin { \frac { a } { 2 } } \sin { \frac { b } { 2 } } \right ) - \left ( \mathbf { A } \sin { \frac { a } { 2 } } \cos { \frac { b } { 2 } } + \mathbf { B } \cos { \frac { a } { 2 } } \sin { \frac { b } { 2 } } - \mathbf { A } \times \mathbf { B } \sin { \frac { a } { 2 } } \sin { \frac { b } { 2 } } \right ) .
|
"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"
|
\begin{array} { r } { \omega = - i \frac { \nu } { h ^ { 2 } } \left ( K ^ { 2 } - Q ^ { 2 } \right ) ~ . } \end{array}
|
"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"
|
\Delta \nu _ { c }
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA00lEQVR4nIWTXRXCMAyFLziohSChFoYEkICFWRgSagELIKFI6CSsEi5PcJKlLXlL8jU/96QHYmxHFzn9A6p1D67FGQAk9SrUK4KtQmM5LjZAC+SQOAI22b8nzZDn8PBCKHgOmyugWxQ/gAVu0sgroMBPaIAZjQn0FqeQ/QpK6nWdWnkFNNMKeP0DevYDpNfku04G8lgHQXgOgRyAuJQ+wCwAcEldgEwRAKR0AbIsEZgGAMlkD9kDjEF7DSXrpSkUSXJKZLKXab9evb8hs+iQ/5s7+wBefQZAOm/zBAAAAABJRU5ErkJggg=="
|
\zeta
|
"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"
|
d s _ { 6 } ^ { 2 } = e ^ { - A ( x ) } \hat { g } _ { \mu \nu } ( x ) d x ^ { \mu } d x ^ { \nu } + \frac { e ^ { A ( x ) } } { U _ { 2 } } \left ( d y + U d z \right ) \left ( d y + \bar { U } d z \right ) ,
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAeElEQVR4nGP8z4AfMBGQH1VAloJ7Qib30BWwIHOUXFyU8FtxzxjDCkbk2HwvhBm3KFacdWHYs4eBgaEDlxV7jBn2lN9LQzXiPxJwWfX//3/j/ygAxYSzggwMZ9HciaJglSADw1k0j6I40oWB4f1qNBMYRxMtvRQAADzkMzKLknMjAAAAAElFTkSuQmCC"
|
I _ { T }
|
"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"
|
\begin{array} { r l r } { \| Q ^ { K } - Q ^ { \pi } \| _ { \mu } } & { \leq } & { \| Q ^ { K } - Q ^ { * } \| _ { \mu } + \| Q ^ { * } - Q ^ { \pi } \| _ { \mu } } \\ & { \leq } & { \left ( 1 - \frac { ( 1 - \gamma ) ^ { 2 } \lambda _ { 0 } } { 4 } \right ) ^ { \frac { K } { 2 } } \| Q ^ { 0 } - Q ^ { * } \| _ { \mu } + \frac { 1 } { 1 - \gamma } \| \Pi _ { \mu } Q ^ { \pi } - Q ^ { \pi } \| _ { \mu } } \\ & { \leq } & { \left ( 1 - \frac { ( 1 - \gamma ) ^ { 2 } \lambda _ { 0 } } { 8 } \right ) ^ { K } \| Q ^ { 0 } - Q ^ { * } \| _ { \mu } + \frac { 1 } { 1 - \gamma } \| \Pi _ { \mu } Q ^ { \pi } - Q ^ { \pi } \| _ { \mu } . } \end{array}
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAbUlEQVR4nGP8z4AfMBGQH1VAEwVXGRkYGPGaoMVwVQufgmmhDKsdMOz4jwBaV/7b71/1HxUgmxA6berrqwwMDQ5TcZjw/8r//y///3/5cgqSGMN/DHAFxRZGjCR34MA1hlUILqYCfOEwqoCWCgBHHGqTweGg2AAAAABJRU5ErkJggg=="
|
u _ { z }
|
"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"
|
{ \alpha _ { 0 } } = 0 , ~ ~ { \xi _ { 0 } } = 1 .
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA2ElEQVR4nM3TTZHEIBCG4XfWQSxgAQtYwAIWsDArAQuxMCMhIyGRwEj49sAksPm97GH71MX3VNNVJDdxXl8X+R8AJEVnAazrVWp0ANZLEuXIg1NTET+W7gN6INc8m/vcfoAMpApc7WcQwS6HIWgDRmCcsdcWyEIsXbJ5DyQwkqTBtHkFGXhIGsygXaAAQcqrvAE9dDnbpCMgA8lHHYMIXVjnLXis3qNU89wTuNPv4bULfi3ZbW9orpim3QEVPMGegoMVuFhh2eH9PWFehxOW2dsht3/w612CHyQw0lGzJeXNAAAAAElFTkSuQmCC"
|
Y
|
"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"
|
\Gamma = \Gamma \left ( \zeta / ( \sqrt { 2 } \sigma ) \right )
|
"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"
|
\left ( n + \frac { 1 } { 2 } \right ) \pi = \int _ { - \infin } ^ { z _ { 0 } } d z \sqrt { V ( z ) } .
|
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAIAklEQVR4nO1c65mjOBCsue8S0IagDUEbghwCDgGHIEKAECAEEwIKwQrBCsGE0PeDl8Qbe2w8t65/BgZXuaWWuiTNF+GDPfHP3gT+dnwCsDM+AdgZnwDsjE8AdsYnADvj370JjKI0AOfQkHszeTretQccDGCivVk8ilJrbQGtpx95zwAwDsVNUvz8DrDYkN4zBcEI5Oa8N4uHwTgUTFKw6UdeHQBbijWPGZ6w+NlcHoLWglkLIOTu5TLTwiG+3JBem4L06Xe+6kFrkuDJXB4El6cDpIDJAABRCQDIEyETA53VTxmelAsNiV6IQF2gVj3Ji1DcnszmUUgQERUxEVGYEhHRWRCRKIjkpXom4GxBxksDQEQrA4ArheLJVB5FFYDbjYjOQXVJxEQ3QUS3uvksN6T3nAVpxpHitDeNNWAMQFSlmdJIIEsBMJkAACxPxWH2798yACZjOVDoo92byTpkshqINQQSJgBAZcCqhvSWARDnawCw65lPPmKSsnel//mF0PXMzsjokFdVFxN6XUN6ywAswiSlX93Y5HeyFxmgrBuKkXFxEYcqAnpVQ3q7QkxrAKyrFTTQn2oD9nSp7zTIwplq/2UwMQAVaQlg5jf38G4B4DIyLOjSidFQsl9I5hLQyr3yFkWbQdVwGADYlRF4uwBwaUL35/wa+XGN1FrNlPevBqtyvBEAkCEAgHKlj/XiMeB7RkrNSnYw3/Kqb4GsuFgLoExSjnpGugYv7QE2M8ghH/U4jQiAMiqaCXbxKK97oLVGxEMAQPgrZgAMDgI2DgAgCVe+Z3MAem7TJvDvSdXVrI9t/uHLutOIuey1Vp+UzlNplALQZC2vUn+p15KbS0GRmzB0lef6btMesAIo87VNzEVyKIHyeBzJhL6btlFggAwwHLyuyHBMVw9R0y5FbTDVUAXRiNv0/VC+XTTCUMj0HBbepatiMl5271Rl3/ChzdR307YKDIlS2X4q0plHfUwHoDGYalQBGLhN34/FANwk3Rv9KgCk0H/BwE27Q2AY3kOpl4LKJEeZREBrMAFlcmyqzKHb9FJUTLTAqkWdmfcMyqSBm3aHwHVLTX34g7DJk9TkSKRsDSaYXJWHelXBdZt+v7z4qZk8PP80WT9Dj7hp2wXet4Lq9wAWAzaOgc5gskfFeFAX+n23qUL01eKZhkDDhD2yVqa1jo5FfwAfcdMcgU/V5/cArlHW5BqD6RQw1NU1YKQCkkMhATDdzOfjYVOxm41kvli6N0zU0oNzkIAMjkHs7z3q3LROXydwRB+2RoJN5adeHWARApp1pZLRIRyCa92mbPMIoZY6vM/kEQh1EgGAQ8xhIvd7XX3zAudXWYaQU3VBbxC2AQO008czSLRd1Heb5r4v3jwbWEy4HpPHwJGP7j3y9M0L3Cpvsi7rBcBwoMwUWoNJgwEaVV6acJteMwY4TMxS+1uwnKpZkBHI8zMDxt20TuA36/PJ9XuAAKKYozGYrIUBsnqAn3CbnOb+vK1sHpP5Ydj+Ps7eLxOm4G0ZGXHTHIHfqq9Prj8GRJkIBdAYTFbgGEA1k4T1btMa32WTreQxmQ+Asen4K7IcEQAtzgyANfpa3xlx0xYEzu/LSiAMC2ENRH8kGZDrZapbWyOeQyJSAV2uRFRVwqBrUX1aLBRvhcS5KM4yGHlO3YiIzqqIcRnU7ROVcMfkFg8KWR9hMHu7gbtl5BwSefqWBF4LhrQ4K1mRrRS1kijE+UYUi+tAXp+cH4DYNUnClChsfwxV0IV3N5etkiXfZcp2mQhA6Fxls198XdoL1bzZ3XsUpuTpWxY4ty+LFCOitIqh96YBOX8M8NbRUuPOBDiD6e7qYOVshAWmX7nmVamRBEAJCeB8WrFO48xJ8vlMrOf2wjqPeVtGUgNX32qBIkSryJFkBJBlFRFP3pCcFw7R37fG3Avb3Kba+ArRb4/8SkR0w4UorhqHUt7fjfYAh0m43mucxiXgZ6IbD67tpW36ZPfT8To3dpK4ojRshKu53YC9QbjftpjbJdYuc7qY9F222i4Ok1ytXfGegTgDALs6l+7RB4w6SZZnph1sZ+X5Abj0b7v8NrtNGtD54JBFXeAbGZmS86roF3pRu8PkvsWYZdx7HqEh30nSyMqO8Ky8Z64Jt76Ld+SrNhPGbZdVeLf/rjB0kizCk+NxzMl79q4IoZIcYyd1jASgalOryyhWa2jdjrg6BxK9467DLegkWR7GSbeoOZcwn74rgiMPRk7q9GyXlqLVUkI3axHQUCg1f6M9QNNwJBkOZU+imUjNDVlPD0AJ7p/UqXyXCdulv2flLXa8LWHoJNkASM3hWjecudH92Smo8l3ckzqtyTRmu4y94ckMH8fASSotB1A0nvWsvK8njWg2y60CoIXiwNGU1zaN/Loy4GC5gA2qDhA5Ld1ErnNr8yx4y16gdQJV78uqFHWSMp0HMgT0QSoJX94QW2qPu+Gd1DmHNGO7XPzNMFe57kzTrhg6SS7mXaXXBMA/8hWmM7bLpcf2JwRg6CS5mHeVXrI3VDOO9M+pKQ3T06TtUmbRRbQLrj/moHx68p0kFwuu0rPGABcmMXGA8o+IW44njFv2wK8b0BQMMYDD3TtRX4xpSbN4RQ/YYrvkEj9k8tnHnU7STgc0Jm0XLYGfl4KAu52kdzshkyvLf2YA7sQrxoAt+IpD13ewWSZk+COciDvxbgH46/Azzwn/j/AJwM74BGBnfAKwMz4B2BmfAOyM/wCBWtgKJD8EcQAAAABJRU5ErkJggg=="
|
{ p } ( \boldsymbol { \rho } | \beta ) = \frac { 1 } { \mathrm { B } _ { K } ( \beta ) } \prod _ { i = 1 } ^ { K } \rho _ { i } ^ { \beta - 1 } ~ , \quad \mathrm { B } _ { K } ( \beta ) = \frac { \Gamma ( \beta ) ^ { K } } { \Gamma ( \beta K ) } ~ ,
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZUlEQVR4nGP8z4AfMBGQH1VAroL3QhX4FVQo4Tdhj5IgfgWzyvG7oSINvyPvMbhgKGBETjCu7wUZzgoq7cap4Ox7BoYK41AUY1iQOcYMDAyCgmjW/EcBu9MYBMtRRBhHEy29FAAAEvotc+3iyMgAAAAASUVORK5CYII="
|
^ { 4 }
|
"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"
|
= - 9 + 8 + 1
|
"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"
|
\Omega _ { \mathrm { ~ d ~ e ~ t ~ . ~ } } ^ { ( - ) * } ( \textbf { r } , \tau )
|
"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"
|
\begin{array} { r l r } { \chi ( S D ) } & { { } = } & { \frac { \sqrt { \langle S D ^ { 2 } \rangle - \langle S D \rangle ^ { 2 } } } { \langle S D \rangle } , } \end{array}
|
"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"
|
p \ge p _ { o } \Rarr x _ { p k } \ne x _ { k } ~ .
|
"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"
|
\begin{array} { r l } { \mathrm { H G _ { n , n } } ( x ^ { \prime } , y ^ { \prime } ) } & { \overset { \theta } { \Longrightarrow } \mathrm { H G _ { n , n } } ( \cos \theta x ^ { \prime } + \sin \theta y ^ { \prime } , - \sin \theta x ^ { \prime } + \cos \theta y ^ { \prime } ) } \\ & { \approx \mathrm { H G _ { n , n } } ( x ^ { \prime } + \theta y ^ { \prime } , - \theta x ^ { \prime } + y ^ { \prime } ) } \end{array}
|
"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"
|
\theta \approx \frac { d z } { d r } = \left [ \int _ { 0 } ^ { r } \frac { \chi B ^ { 2 } \left ( r ^ { \prime } , h \right ) } { 2 \mu _ { 0 } \gamma } I _ { 0 } \left ( \lambda _ { c } ^ { - 1 } r ^ { \prime } \right ) r ^ { \prime } d r ^ { \prime } \right ] \lambda _ { c } ^ { - 1 } K _ { 1 } \left ( \lambda _ { c } ^ { - 1 } r \right ) - \left [ \int _ { r } ^ { \infin } \frac { \chi B ^ { 2 } \left ( r ^ { \prime } , h \right ) } { 2 \mu _ { 0 } \gamma } K _ { 0 } \left ( \lambda _ { c } ^ { - 1 } r ^ { \prime } \right ) r ^ { \prime } d r ^ { \prime } \right ] \lambda _ { c } ^ { - 1 } I _ { 1 } \left ( \lambda _ { c } ^ { - 1 } r \right )
|
"iVBORw0KGgoAAAANSUhEUgAAAcAAAAAgCAAAAACgffeZAAAEU0lEQVR4nO1a67GkKBg9s7UJsCG4ITAh0CE4IXhDwBC8Idgh2CF0h6AhYAgYwjc/fCEi+KrZtcrz49ZV8Tz8FAH7B+HGlfHXf23gxjHcBbw47gJeHHcBL467gBfHnytg1fwxqTA+51Ma+Zpf9fn8CwgV8PlB9Xg8KufBCgCq7xUyr8e/P5nFCwDN59u6lstqG+T8SB//pKONUwTNfHXdvOpmKOHTfbOclpy8SDIiXQBv51FBRES50H4SIiIJbvMSkRSAnDZcVtsi54WWSEYb5wga+QQrI837zS7prP1Zyf1P4BeTAIsXjn7aey7hDy8JACBGZPMCyN7SbriotknOCxZ1Zvzx9ubLkxSpyDBKOHBacm8Bn0+3eos67TxnTepp1jU2C2jwiuCZu+RCZrhl47CgmY8xNN2mR+Ks5POHUkkh4pKIKIrbPa5HuxQAF+1DnbBgJyNRaClE22v0vET0tjsSt9pWuSUoKUSiBLRp4wxBI59gJVcsIlPCgZOSzwuYM0kkoAwJ4E0khRCl2VBA9acgX/Q5NC6iXGdILOtLMWZq2+QWkIMXVIj26gbi7c6nlMJbq4mEAyclnxWwgCQiiaL7MxDnLFOTloy5vEy6jPGGisA1EcVQBq8nxkxtQW4TcggiohJx69Qbzy24EG+Sj3Ss+tZjUhsnJf/b6lGb9q0bt29UY+Sfvt582rIxevFx+Dvp2of3QlMjYQAi1NGU142Z2pLcFjQpcsB4X/niLQi641n5WDEcCCa1sTW5XcBnkzAA3Cb59dKWlwpWmxbC+XKuECVOfSccaktyW/Bq4shNtV7QHS+ULzWncG/P8GV7cruA1WS4P+CLIc2nuz7ulm5UiH30YbVtcksmWorX7IocFgzkW3hu59huZNaFusst459PnlgtnbzPl7GR9WR1m+HViDVXxaG2JLcFnYlPzWyq9YLueKF8C8/tHNuT2/NA3vUCNQCGYT2IRwW+2gWdvpeozfsq1L21M68mhZzyGqjG7mdU88lVW9+EHDWA5rtz6493IN8Id1ILZo4dRqxBjWKsJFJxTkRqOs4G00QK6Ma4DJrK9v/MM9jqGXIiHbejYDUZtHarWiOxoeaTGw+txRtckxI5OOksFO9AvhHKM17ukxuSe4zMphGlgOBxO0AWvM0NQJIAIEix3pNEJJJ2XhlHgXwlCskFok5e9AuFUgDgCRENxBM1n9x4aDVyhkiUlCASOhTvSL4Rgruak5l8kNxnxLESo4fpTelaGUhKu50K3qAt2zC9cfKOxGvl3Cf4PWgiIqWXbYyk+/MZ+5aWp92SO4z4v0bkfLZ0k80XJcTmebWD10Xsl3OfcNCGi3R7Pq/EGsn1RgKfkwph31YzPzp2fzDZyDsnDskd/arktDEn3ZXPJzETWLnXbeRH4HehTR0egO0Z34d5T5U7YOOo4O6k64yECnjjf477R00Xx13Ai+Mu4MVxF/DiuAt4cdwFvDh+A6YhszWq1e3SAAAAAElFTkSuQmCC"
|
c ( \mathbf { k } , t ) = b ( 1 , \mathbf { k } , t ) , \qquad d ( \mathbf { k } , t ) = b ^ { \ast } ( - 1 , \mathbf { k } , t )
|
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABDUlEQVR4nKWT0W3DIBiEP1dZAI/ACqzgjkBHYIV0hGQEZ4R6BHsEM4I9Aozw98FgB4tGqnJPJ3Fwdz/QCK/xcdA4DCvAd6mQjEUDbpark2ccAmtHB6DmvwQiEm6dK9el+UfIdwXr4+sO+LadajUXC8wi0sO13sKiRUTE0RWC3cLTAdAbXThccoQVs7GuHnIAm6SmFlIsJjEdttihDKly+HG7qzlvSBZTzBHum5NSurC4ZjKWJXeLLrUPZkkLIZzmAED8dBrAP5q2bOFgFOlNn/fvpZIgGACXz5ef/UbSJNXs4/MMPaa0OMMQSosTjghSf1HTYVcXeIyPrwVMaqOXqgCmPpH6v1jj3vL9j/MLQd+GCzUsGBgAAAAASUVORK5CYII="
|
\tilde { v } _ { i }
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.