image unknown | text string |
|---|---|
"iVBORw0KGgoAAAANSUhEUgAAAVcAAAAzCAIAAACsQdy3AABe9klEQVR4nN39V7MkSZImiikxMyfB47AkRbt7enYwS+7K4v5zvEEET4BcuRBAsHdnZmeaVBfNzHPysGDOjKjiwSLiRLLq6p3G7gpMSlJORXi4mxtR8umnavh/+7/+X/DQAEhEQFFVETGlxGyJKMYIAIgYo7fWAioAqCocWr4ePt7kE59DvucHnxEi5j4cPzleicjv3RyjAH7kEYfr8d2rFQD06Xo6fQUA0A/uRETvf/QzDVVEfv6V378/2o9+nvvz4fiIpr+gO/tp/WQ... | + 3 C u S O _ { 4 } = A L ( S O _ { 4 } ) _ { 3 } + 3 C u |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA20lEQVR4nLWSXRGDMBCEl04NnIVYwAKVQCXEApWAhVhoJIAEkAASgoTtQyfkmLm2L/Sedva+yf2lIr7H5Uf+dCA+VgDx4FHFE5CedEF5B6D2qUPTSvoEhIkcnBu0V526h0f1jrse46r0Bi8Axhh9MMdsMJEkB0FnTgHJ0+zqAExospRiqyZH1FnWxVXAqn0LmE2gFEtwu3ZWD+qBdbVKjHBZRrRGiRb5ismhHLQAgvwNfFmIAhbUe14WAwjwJJmCg0wlz/2aM8YbsM2... | \tilde \mathcal { D } |
"iVBORw0KGgoAAAANSUhEUgAAAyAAAABgCAAAAADAq0lFAAATCUlEQVR4nO2d0bmrLLeFR/7na4CU4CqBlIAlmBJMCVqClqAlxBK0hFiClqAlcC7UxCSAgJqVtQ/vzc7OCgjKlAlMGAcOh8Mh43+/XQCH45txBuJwKHAG4nAocAbicChwBuJwKHAG4nAocAbicChwBuJwKHAG4nAocAbicChwBuJwKHAG4nAocAbicCjY3EDqql+Ruq0BoK3ajUrjcKxj2UD6w1G7yfeXY5weT7llYS6HnxwAcr/QTnM8jPjzchiU2Yg6jv3jdtntU0j... | \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 } {... |
"iVBORw0KGgoAAAANSUhEUgAAAvUAAACQCAIAAAAHhgMaAAEAAElEQVR4nKz9Z3ccO5IoikYAmVmO3omkKK+9t6Ttenf3zJx35r5/fr7duXOmT/d28iIpkRRF78pXpQHwPkQmKhLIYu+56+XS0ipWIWHCIyIQwNOLvjEGERGRPgAAfdBaG2MAgH6iD/RQG/qSHq01/2z7tO8aY2yH9AghpJTUGwAYo/iv9nt6F9hDXSmltNZaa0TkXdGf+RAGAACLtwwACtNotU5PT/f29sbj8erq6vLyarPZVEplWUb90DyNMUqpLEuEEPSnEIJWRN8... | \frac { 9 8 0 } { 3 9 . 5 } \approx 2 4 . 8 1 \approx 2 5 k m / h |
"iVBORw0KGgoAAAANSUhEUgAAA2AAAADgCAAAAABAoVo9AAAmp0lEQVR4nO193bWjPLDl7rsmAb4QOCGoQ8AhuEPghIBDsEOAEOwQIAQTwV3mbV4hgVlL84ANQpSEBMgGzH7q47ZVVbtU+lfpD8eOHTtc4X8+rcCOHVvGHmA7djjEHmA7djjEHmA7djjEHmA7djjEHmA7djjEHmA7djjEHmA7djjEHmA7djjE//m0AjtGoboAOLLnX/mNHT+pzQ4l/uxHpQAUBeCx4e8tB7d/APxH/Ud+8FPvo+oYYn08T8YeYEiyrAIAHMPgw6rYoPq... | \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 } ) )... |
"iVBORw0KGgoAAAANSUhEUgAAA4AAAACACAAAAAB/t1gWAAAWEklEQVR4nO2d25mjMBJG/95vE9CGoAlBE4IcAg4BhwAhQAgQggkBQrBCMCFYIWgfuAmMMAiw6bHOy0y3aajCKl3r8qPgcDg+xX8+LYDD8c04A3Q4PogzQIfjgzgDdDg+iDNAh+ODOAN0OD6IM0CH44P89zOPLUpQ/plHOxwH4iMGGKYMUsCPyCee7nAch58PeMKcSESB8ixIzt7/dIfjQHzAAEORAwDk35Lc3Rjo+Go+sAmTUgEAIAFk+v7HOxwH4v0GKGR6rv7HAPH... | \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/Q0QMBsmwEEaiBiV87gdQFYDXjqJWTaohJSKwNORM7UJcuEzs7pe8SMMlg7Fuh... | p = 1 |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAADwElEQVR4nO1Y7XHkIAx9yaQBWiAlcCXgEnwlcCWwJeyWsC7BLgGXYJdgl4BL0P3AH2DA651M5i6ZvD/JsNJ7Ehay8Avhe+P1Xwfw2fhJ8KvjUxNs2pOG/VnDDdOt+FVUWaWV8bkEL0VRFKP/zwGa98t0knf6U/RPBYL+fbyKlmeVNkZ6BpYDAxERlWDdsa2GfoJZ4f5UIEwSWX2kNDMeJdjpUkoppdyWNOTyz4OANK7n46VnM9SoHyo5xoME9fq8t7XrnKDl4jiCAfL... | v \in V , a ( u , v ) = f ( v ) |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABgCAAAAAAGffckAAAKLUlEQVR4nO1cy7GruhJd+9VNQCcEnQheaYcgT96cEwIev5EIAYcAdSOAECAECAFCQCH0HfDHEj+D9y0Xa7BrG2SrvZBa3UstfxEunIn//LQBn46L4JNxEXwyLoJPxkXwybgIPhkXwSfjIvhkXASfjIvgk3ERfDIugk/GRfDJ+DyC72/vMc9nbn4cwffy7V2yW2i/+df77HgL7nny9j55dINru/lhI9iLI/aWjvLfX1833byQvmf3EvRJCBC9qScnKXy4/UtWWRp+FME... | 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 ) . |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABV0lEQVR4nO2V0XHDIBBEnzNpgBZwCWpBKYGUQAukBKcEqQSrBFSCXYJUAirh8mFrZOAce8Z/mfB1WtCyu3DDTnhtvL34/58lOI9jgYxf+91eZxBlGJgyoAXgpK3VFAwL9BlyiLGD4VkFzoCtUKtgIqIQTAQHxxIOCqZb6HFO0eugjPaOBduI2DJGEbGYpxQMswddwtJXqxUFjiQyKTEewdUKKoIJLyLSQixmWiA9tjDgrpEVHuZR81VbsFfpptzONwmahxYi4VIEOOT... | \Delta \lambda |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAABACAAAAABOjPHCAAAJ0klEQVR4nO1cwbGrOhI9d+onoBcCLwQ5BDkEbgg4BBECDgFv/86EgBaznAUKwYQAIfRfYEAISQjMfzPz652qW4V91aK7kbql1sFfhN/4BP/aavD4FVqci/7jHgyjtzr7Co3ARwu0rPxYn18K/V2KT+Qto3+UabD55gj8f0N1LT7yn436tjEHyUYtpfmxXDWIxLM7r1U8Xqw4cAfL5oXRNeqQ6NqBTZYQEUkOPurERLOthI2XiPFNXKt4CHHkDm+b3Ua//+fB2oGUpkR... | \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 } \... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAaUlEQVR4nGP8z4AfMBGQH1VArAIWVG7FHuM9DHdxK6h4f4bhrAmqnv/IQOn///+7jVGEUN0QysDwPt0YryPvuTIo4bPC2HiVy24UIUbUBPNekAFNBM0KQYY9qE7ADKizaAoYR9PkoFEAAKDoSpzPBok8AAAAAElFTkSuQmCC" | q |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAAFJklEQVR4nO1a0ZXjKBCsubcJkAIXAhcCDkEOQRMChGCHYIVgQhAhiBDcIZgQuA8hhCwky+PRvNt9Vz82El1dapqm5ZmPgP/xDv7ald1qvyv/RuwpY98ASt/syr8Re8rYN4CozL78G7GjjJ0DKL3b18E27Chj5wD++Sm4dwDFTPkb9fzrpnMZ34WdA+iIGcDa8/DsdDjoL3K9YdrLABr6IsEy9g2gM6qyIJLi2F/wzaWTDSYx3YhkuoRlyl4GQOd5AJ8KySeUJofvQ6v... | \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 } ] , |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADZklEQVR4nO2Z3XXjIBCFb/ZsA2wJbAmkBFKCtgRcAi5BLgGXIJeglGCVIJWASph9wHYMSGCC96wfdF+SY/DVx/Azg/xGeG39+N8AOW2AtdoAa7UB1moDrNUGWKuXB/xZ1n0+ThPQqOc8/CE3KpECGt0AsuhbVW5lgIAhog5oa8CK3MoApSIiIo7m+1iFbmVrsHd/+MS/u+yK3ZZ28bz/PSSdBzwF0Hc7vR/mpeY4qJpBnlNToyFqZnbF7dyAdXFzBGgFRJ90PDOW5C/... | ( x ^ { 2 } + y ^ { 2 } ) |
"iVBORw0KGgoAAAANSUhEUgAAA0AAAACACAAAAAAHCFa3AAAVJ0lEQVR4nO2d7Z2qvtOHv+f+/BvgVwJbAqcELAFLwBJCCViClCAlkBKkBFOCKWHuF6gkkJCAwu5Zc73alSQzoxnynPlDGNBKAEASDR/MSOGFq5g3iQkELAjx/DOOFyb7P+2/AgDkruBt/V9hL9GQom5d2s4XZHo+U04gYKYAUBWc8/2Bc34QE0m1ZKMKSArsRER0RUlEJ5Rkw5Dill6tycf4CTI9nycnEDDDTkSU3YgIjIjYVK3Skg0roNoC1SIHAIEEQA67UxpSROX... | \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... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAhElEQVR4nGP8z4AfMBGQHykKWFB4q/fce6+klKaELPYfAc4YQ8VmIgkiKTgjCNfVgVWBC5K5d7Eo2I1scTlcGOGLPcgKzmLx5llCCgSRFRhjUYDieSUsCpA9gWQCdm8KviMQUKuwBtT/M1AzlHYjCTKipOo9e84yGBuHIgsxjiZ74hQAACmgo8xfZbONAAAAAElFTkSuQmCC" | \bullet |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAAB6ElEQVR4nO2XwZGjMBAAe682AaWgFJSCCIELgQuBC8EbAg7BGwIOwQrBDgGFoHsYgyQzCFx15c/OS6NCPW1AaPwReG/8enP9HwE+k8w7rZMJ933zRtfqBfITS4CFMS6H1mpoQxRXC2hQyWw5llgSbBJorYZ00UWhTiEMB2h2CSywRBjxNemiq0JdQgghdHsNnlgyLBYINllkoRuHNZx2GqQsGSYL9KCXxi8JyDB5Gx6hfoyt4naO3/C/UrIbJgr4bzBTZiAS8NXXn+V... | 1 0 \times 1 0 |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABlUlEQVR4nO1V3ZGeMAzcL5MG1IJbcEpQC1wJvhLcApQAJXwuwZQAJeAScAmbB35sf5Pc3MzlKXN6AMsSq11LjB/E1+zHF7//BvgXAD8/mZcHyV6O9QRXRXjZxo9MI3ddSJK91Kk3g/Trgu2Rhyyr8aaUCUkhGgIAhDpQGMRrw3N3G0lbF3JKchlJctSG2s1g9QoAefIIk/SADlN/l0kAYAOANETUdgPkI/utlyv/fAIAJANIAuC9FVAA7HHA1gLOHjla0mwAMCswiEN... | 7 3 ~ \% |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABRElEQVR4nO2XwXGDMBBFvzNpgBbUAi2oBaUEpwRcAikhlIBLMCWgEnAJpoTNIWaQdjdjbXxIDtoTEuyf/58EGg6E5+rlyf4qUAWqwL1e8+G0XzZtmQKlNTf7DU9FBTHTAm4uayYiUhkcC93LCER0A2AwIB1M5fgAKMsYAW/olwITYDEgGFgRCAZWBCKCFYEQMCNgDMwIOAMzAh7BjIAL2BHkDAoRLMkzucAINOl4Dkr76ELYX/g8AkcwKHmGt25sric9Qgv0aaLmJu2... | L _ { \mathrm { ~ f ~ } } |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAABgCAAAAADwESWVAAAFMklEQVR4nO1a0ZWrKhTd963bAC3QArcEU4IpwZSAJWgJWEIsQUqQEuL3+5ISzv2QqCASMzPvzXx4PmYieHCLhL1z3L8I3xv/fPP13wBgbwPKdrcXgCn/UwA3wfc7rQEgbP0BBHQwujzVW3VERKMYjw43x3oGrDZbgNr9bySgr0ZfddvWgL42bVNCXxuUF7RNWw4Ay5vYPRoAxr6eAZXJrN8g5A/3n4hIdiTl9FkqoqIiKYkEkeyIiOiRrVOFG00WNPK9ufm94KyVNaz... | \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 } } & {... |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABi0lEQVR4nO2Wa5GDMBSFT+sgFmIhFlIJWQmphFRCLbASioQgASSABCLh7A9IgG0oHTqd2dnp+QXk8p37CI8D8V4d38z/GPwhg+5cAuXpJVaeQZKkAxwLCL6gPOMIAOFLGajmArU//VUGSfY9LVrteduf/xrjMD7Jp85ovT//dUYcciOQ1kK5z2DOmDQU0kL0Y02tE3pXk2aMmcYKGlgxHJ1PUu4sIDHmSgaxONvmwp4zyA1xNKjS4q9d1m2DY8jECCWAUAUA4wx6zNu... | \boldsymbol { r } _ { 1 } , \dots , \boldsymbol { r } _ { n } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABMElEQVR4nIVTW5XEIBTL4YwBLLASsMBKwEJHAisBC1MLlUAlFAlUApWQ/eiDR2d2+WkvSdNwSECS5MuxW9lmkiR2fOhxcjH5IgTbgansgmRWucUNHEk6fxCGzkAABpLMKpEgg+wE6IZ8PEmQ5naCywoSwYTlE4F2IOjUR5weWWAyaFcsrwaTiKtu4J/v6Ws8By3jY4aq8acKwFOdqnoWG2qFUToAmM9ZrY8IWfBtXACsZUNCNAZGu39f+X40BAcAcasJrQJuAu8IsbH... | ( j ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAAA6ElEQVR4nO2T23GDMBBFDxk3oBbUwrYgl+CUQC20QAukhZSASrBKgBI2HxnsJegxGX/Z4/2BZc/cq72DOqVeH435G3h+YP3sztu75ircB132h+kArVkE6KsWyzhr1aK5halT7mOK0ZfPMHiAsLVHC7k4QCgqqE7AVFYAB/jaFqu1yAERAg3AV4HUANZkt8wAkTbgXQ3YHaEAiGmPSWOCzkUdaVjsl8gAyQZdUJD/AIctZnC2vyl8p9/nl7kzVkFgVFVdHH7ZpXJPx11... | j |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAAE7ElEQVR4nO1Z223sNhA9G6QB3gYC0BUE8kcK4JagFpQS6BLkNBBIJWhL4JagBW4DUglUCZMPPsSXHr4xskng+bDk0XDOnOHwuRfCl+zJT88O4N8uXwk6kJ+fHcCny59//PbLpzhqAQCXp85Bd4hzhsuDVSd9/vr9R6NJxGTmqUPs7TqftGS318c5y/m7pM8R6/CTvP2IKHyAS8V0omm5Ktg1md3fk2KCRtZ4vCKc1eqqOopGq9G8TO6pXBPNRMFnEYiINKvTb7yEB0l... | \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+zdyrbc... | 2 . 6 \times 1 0 ^ { - 1 0 } |
"iVBORw0KGgoAAAANSUhEUgAAALYAAAAYCAIAAADYhJDNAAAagklEQVR4nGV72XtU2ZFnRJxz7s1FS6IdIQRCUAaqKKiNMl3+Zj53e/w0nnmY/jP9Pv7G3dUet7vHY7tchmYrdhASSAitudx7z4mIeYjMq6QmPx5SmTfPEssvIn4R4Mb9fxMRVSUiAFBVVUVE772IMDMRee+ZOaWEiEiBORIRoKZUee9DCCklEAQAAGTmLAspJUQNIQgoEalqSklEEJHIq6oKOOcQEQCKcoCIIkkVWQEAWnkjccyyrCpjSuCcE6mcB1VlZoQsz/N+dRy... | 1 3 0 \div m = \cdots a |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAATUlEQVR4nGP8z4AfMBGQHxoKWJA5e96fvXc2tAOPgrP37uE1oYPhvRABNwiS7shRBTRSMIuB4Syaiv9IwEWJgYGBgcEFWYxxZOQLggoAwpUmGUE8WfYAAAAASUVORK5CYII=" | 1 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAfklEQVR4nOWSSxHAIAxEN3WAhVqgErBQLcUTEkACsYCV9BrKp51e2WOys/sYQoK5tpf9mgbi1iFK0UgjnZDCnsq0gl0HQseZ3FZoQw+hZjgBgMMxYmCLUgBbv1UjRLmetULqoryBswBIBgmSW3Chzk1Wsx+/mTz8KO5bwpqGGykjrEagijCYAAAAAElFTkSuQmCC" | t _ { 1 } |
"iVBORw0KGgoAAAANSUhEUgAAAT4AAAAzCAIAAACBs/MNAABDKklEQVR4nK2953McyZU4mKZMe28ANIAGAcKQQzM0EoczXK1G2v1Je/p0t3/khuJ3iv2g08bsymxoRjt0M0OCBAkQ3gNt0I32pqoy78Orys6u6sZw966CwUBXZWW+fPn8e5mFm51LhBDGmHOOOeKcY4yRdLl+cow45/YjPmgjbrouy7IopfAUusIYm6ZJCBFvyYMShfb7fU3TMMb9fp9SSim1LAshRAgRf0B7xhhBeOS4jDEJeCz+5pyNbO+CUEyHMSZuyi0RGbQcIAR... | 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 } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAACC0lEQVR4nO2W7W2kMBCGn5yuAV8JTgluwVsCLWxK8JbAlsCWwJYAJeAScAlQwuSHbYK9H9EpinQnZf6A5+v1OzM2vAjfK7++Of8PwD8A8LtahzGAtU8i/qzwaPQuo3aqVJUMwuH1DOHw6h8D9C2m2tQpxJe3kx4Ptb/sZaAREelQszyUjmOpaMmGQXr60lj3oAU42vXymEJAlwqfKnrWFkVFvgTQLsaa2q3IV5foGtfXcK91ZZN1W5nX834VrSMWLmEbhZEmASsIPG1... | 2 \pi k / \ell |
"iVBORw0KGgoAAAANSUhEUgAABEAAAABACAAAAAA/212AAAANMklEQVR4nO2d63mruhKGv3We0wApgZSglCCXQEogJeAS7BJwCXYJpgRTgikBlTD7BzchBOIiME70/tnZXppBM2IGoRv/CA6HwzGP/726Ag6H431xCcThcMzGJRCHwzEbl0AcDsdsXAJxOByzcQnE4XDMxiWQ30CWvboGjj+KSyDvjbgAEN8ugTheg0sg7413AyDYq6vh+Ku4BPKeHG+Hb1H9j++9siovp+ULx7a4BPKWJEly99Mqav529BS+eHUt/ir/f3UFfilpEq2... | \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 ... |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAACd0lEQVR4nO1W223cMBAcB2mALbAFtrAuQS6BKWGvBF0JvBKkEqgSpBLEEqQSJh8k9bjE8V0AAwng/RFJLTX7mB3ohfhc+/bJ3/8C+AcAvj/hu16tafIy3VoAFwDw5mqMf/fSMxm8qV+vAIDbdAWABGAyr6rpVlzSHk1d8GEbhZxd2YDkPJLtEoWMkk/bZfMOZVlKdDFY1VTQoQ+5JAa2wQ8YAGgTADsdMrLA4PKlAQBwbfLuNQL+0h4yUCVjU7CjNkKSi4zsLNmIiNi... | 0 . 1 6 7 _ { 0 . 1 5 7 } ^ { 0 . 1 7 9 } ( 4 ) |
"iVBORw0KGgoAAAANSUhEUgAAA6AAAADACAAAAAA/slGqAAAnEElEQVR4nO2dy7WrMLPn/+71JaAz6AA4AdwBe94TEQI7BBwCDsEOwURwlwkBIuhlrRuByaAhBPWAh0HoCdhm76Pf5OxjW0VJUOhVqjpweDyevfK/Pq2Ax+NR4w3U49kx3kA9nh3jDdTj2THeQD2eHeMN1OPZMd5APZ4d4w3U49kx3kA9nh3jDdTj2THeQP8NTofD4XD6tBY/mMPhcDiU77+uN9B/hYLzs/ybhr3yum7CX6nLKtGcc7qVIi54AzXRHKOXPsAfp/z70vp... | \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 ... |
"iVBORw0KGgoAAAANSUhEUgAAAeAAAACACAAAAAD2POWnAAAM4ElEQVR4nO2d7b2jLBPGr31+TwNsCWwJbAmkBE8JpgROCUkJWkIsQUoIJWgJUgL3B99AIUezeSX+P+3JGkO8YJgZBvLLYCNm/vfsBmzcl03gyNkEjpxN4MjZBI6cTeDI2QSOnE3gyIlRYH3Mn92E1yFCgYu/3/Wz2/A6/P/ZDbg19V4+uwkvRWQjWH//2fR1iGsEF5txnhKTwPVegpBNYod4TLT+/iNJ1lTs2Q15LeIRmEiIKgX4sxvyWkRkojNsg3dORAJv8vqIx0R... | \xi _ { k , 1 / 2 } \equiv \frac { 1 } { \sqrt { 2 } } ( 1 , \pm e ^ { i \varphi _ { k } } ) ^ { T } |
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAABzElEQVR4nO2V3Y3bMBCEvwvSAFMCrwS6BLoEpQS5BLoEuwS7hFMJYglmCWIJYgmTB58tSg4OgoNDEOTmgaIGyx0uhz8v4nPx7ZPzfwn8DwLfV8TESDq4JwXWVGBtF82T+XlZddBeGZ4VWOVBzv7Z/OsEIs86sFIg8XwFDx6kUiWL1/4rAxE3GZ0zHijJGYh3+Xd6hmUF+xS3AN2PDPvt8TrOH/clb8432e2x5E0h78prSrsSNzN6Ac1w6HXiIskj6UArSSdsL6m115h... | w h e r e |
"iVBORw0KGgoAAAANSUhEUgAAA0AAAABgCAAAAAARTE01AAATM0lEQVR4nO1d67mrOg5dd75pwFOCdwmcEpwSOCWQEkgJoQQoIZQAJYQSoARcgudHeNjGEEMcHvuy/uydhIdkJGRLsvSPwIkTJ5biP1sTcOKEAxTVRjc+FejEb0D6c9vmxqcCnTgkeK58zBFIn1Y0R6cCnTgk0ov8qSoC2n+6rWiO/rvanU6ccAeuqkgC1v/0N/fD1Qj55/TCnTge8msFWXJ/ULb/8ksRB4ZTvoRzCnfigIgokT8Wld/+yy/Vc0X9ORXoxBGRZZ78MUG... | ~ \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 } \ha... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAASklEQVR4nGP8z4AfMBGQH64KZjGiCfxHBe8E0UTQuGeM0bUwoga1K8PZ9//xWvHfBU1kUAbUkFDwHo3PiJ7sGRn+41dAuRuGpAIA/KhiqKLGlAYAAAAASUVORK5CYII=" | ^ 1 |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABgCAAAAAAGffckAAAKbUlEQVR4nO1d7ZmrKhdd931uA0wJnBK4JZASnBJMCaQEU4KWoCVgCVqCliAl8P4QFFDyNcmM48n6cZ5REHG52Ww2y5x/NN54Jf730x3YO94Evxhvgl+MN8EvxpvgF+NN8IvxJvjFeBPsovhTP7vJf5/d4C9Gce6f3+ibYIu66F/A755chFJfubpXZUOf0g3/cD8Eq8OXDJAmwFMIPvgM74ZgdUjYT/cBAMBO3uFeCFYHJn66DyOy9uge7oXgk8p+ugsGJC8K53AnBJ+... | f ^ { ( n ) } ( r ; t ) = O \bigg ( \frac { 1 } { ( k _ { 0 } ( t ) r ) ^ { 2 } } \bigg ) |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAGyElEQVR4nO2dv5WrOBTGP7+zDeglm8sV7MElMCXw4o1wCbgEuwRTwrgEq4Qh3mCPSTbYDJUwG3hmjP4AAutKzFl90RvbwA8+JF2uLnqbdyTF1I/YAP93JQMiKxkQWcmAyEoGRFYyILKSAZGVDIisZEBkJQMiKxkQWcmAyEoGRFYyILJ+i3nw5q9//5i1QcaISOar+efveeyc2z9/j6hs7llfY9Kqms1e2fdj7YL27dy9L1LbzN5Evjj8KAS+N3ZbF3Soi4Hm4lcC+PP... | \left ( 1 + { \sqrt { - 5 } } \right ) \left ( 1 - { \sqrt { - 5 } } \right ) |
"iVBORw0KGgoAAAANSUhEUgAAAZwAAABHCAIAAAC8rWY2AACZTUlEQVR4nIz9548lyY4nCpI0MxdHhhYpS9cV/R62H7CYL/P/Y2ax6HnT6t66VZVahT7ahZmR+4HuFh6R1bvrSCQiTvhxN0Gj/JHEV69/kf4CAABARESE/+Ji5uE9zMzMIkJERISI+on+KcZYFAURiUgIIcaYvmiMQUT9UO83xhARooQQjHE6IiIKITjnAISZAZiIEA0zAwsi6nMAIMYoCOldIpLeNfyZmYlIP0wjd84ZY0QkxqjfJSJjjDFGn+y9Z2ZEtNbqHEMI+hU... | ( 1 ) a = 2 ; 0 x = 0 |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABNElEQVR4nO2U0XHDIBBE15k0cC2QEnAJpASlBFpQSrBKQCWEEqQSTAl2CaiEzQeSLJMJksaZyY/vB8Etj5tjxYF4LF4e3P8E/AXgtZy+tkClx0nwECu5hKWoAQAmkmQ01ZfT0mWSIsChPkcnsCRpKpJRJO4AWJcwIOlwTjXVOwBm1IBklZQd9A7ApKlIStoY865tADi5kBcsy1nEug/6tlPA9bf0CqA/vr2Hpl+s6Exxb6QwLJQCAE4P7ad3dl4uG8ksEjfH1BB2Uw9... | - 3 0 |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA5UlEQVR4nOWTS3HEQAxEn1MmMBQmEExBgTCBYApDIQvBgWBDGEOwIdgQPBA6h/34s+XNORVddNCTuloqFeJ1vP1S/xtAeV7K/Rz8qwmf4/zegc4iNVI0nUv4CqgoIV98DZAvowthBRhnviDVnihJix80uLgRqaOPIra6AnWUFN0ymJmZNZI0kZCuwEKSlGjv/ZMkkR42RwDsloHvDL1ZuQK2d+E+jNyum8xHmzHM3u9Wnd1hER42x3Kr+i4eQHXLdg70QO9OAVd3QFc... | 1 0 ^ { - 3 } |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAAEAklEQVR4nO1Y7XGkOBTsudoEdCHIIWhD0ISgCYEJQYQAIUAIEIIUAgoBhYBC6PvB2AMMGLxz9nmvtqtc5RHqp/etByfi/42//msFPht/DPzd8eUGhksJ5B5Aul7T9RI/+0B+MZpGk+hJuh6Wqvjk874igucw+WGChJcSgI7SQqZ/S3jtV58vDCxPp9PPS/vEgeHv0+l8rqd6+5kRUcPr8T8jENUTZ02Fx6tcfb4w0IqMTjxTGCoDnckv2xqJ4GVECghADfPrR83Q6kM... | R e _ { p } = \rho _ { g } D _ { p } | u _ { i , @ { \mathbf x } _ { p } } ^ { u , p } - u _ { i , p } | / \mu |
"iVBORw0KGgoAAAANSUhEUgAAAiAAAABACAAAAAAGiZOzAAAJwklEQVR4nO2d63mjOhCGP59nG9CWoJQglyBKwCVACXIJUAKUYEpAJaASUAlWCTo/uIO4BOPdJMv7J8bozmg0Gg3OxeLkZJ7//nYDTr42p4CcLHIKyMkip4CcLHIKyMkiLgFRf7wVJ18Wl4CEf7wVJ1+WX80HnYJwBgDS/L3mnHw1GgFRngHA/QBZ6P/NBp18LS61J9WTAdNppTty/hcbdPK1qAXE/E4CAGkmQaNTg5y01AIi08dfbsjJ16TZxZxa48TJ5TzNPVlilyd... | \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+qFO1BVQIF4P0idQUAqTYYAMyszKE... | \sigma ^ { 2 } \left ( E \right ) |
"iVBORw0KGgoAAAANSUhEUgAAANoAAAAiCAIAAAC2vlD4AAAiPklEQVR4nJ1c2XMU19W/t/eefdWMdoEQAryBHISN7aICiZ0ilaq8+TUv+eeSKj+kklTKCYmpOK44jhGLEUgCJCSQhAZJs/f0er+Hn/rozozw99XXD6rWTPfte8/yO79zzu3hW09+YNIhhMBJFEW6rvu+H0WRZVmKonQ6HdM0gyAwDCMIAsZYFDHDMIQQuq57nheGoaqqnHOMoyhKGIaccyEE51xRFAzLGOOcc86jKJL/xcnwZBRFoUHwIQ5cQ/fKQ+HiKIpwGV2D24e... | \frac { 7 } { 2 } n + \frac { 1 } { 2 } = 5 n - \frac { 5 } { 2 } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA4ElEQVR4nM2TURHDIAyG/85BLGCBScACFjoJVEIt1AKT0EmgEloJrYTsoddBRtY97W55guS7JPwJDePcLl/ivwC6ppMOFpas6cmmwiOBnvzKs0WfXbIEhUgwKVB2NVKH6bEsZL350ENygHEGNOg9DECYmXkkJA0YcLQf0SpAAq3H2ZACOIzFuQYSHGvAS4c7fH7apjzTYc0ZYOoSpSIR4Rxwmg4mAxGea6DFoW8imhVgBO15ByJ9HwLQ9jFYiHg5i7gPuV3LOIt9mDb... | \hat { Q } |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZElEQVR4nGP8z4AfMBGQH1WATcGedMb0Pegq/iOD3ajc/////0e1Yo8SATe8J6TgnjEBBYSsuMeAqYCBgCdQfQGx4SweNygxMDAwoAYVI3KaVGZQYmBgOPsOpwJsYNClhyGrAABCPkwf9sNT2QAAAABJRU5ErkJggg==" | L |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAF4klEQVR4nO2b3ZmrKhSGv32e0wCnBFpgSiAlmBKYEkwJWkIsIZYgJYQShhJCCZwL/xBBjc/sGS54b8bEJQv4YC3AzB+LTMr889sVyGyTBUqcLFDiZIESJwuUOFmgxMkCJU4WKHGyQImTBUqcLFDiZIFSwNTRW3/yYenv09Q6KkOeQb+PKkj85r8/V49MBIYNgfIMSpwsUOJkgRInC5Q4WaDEOS6QUX+xGpkYxwVSt79YjUyMHOISZ7VR1Q2q+YNShHFjaLyAsImpidj... | \{ 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 } |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAEOklEQVR4nNVYwZWjOhCs2TcJKAWloB+CJgQ2BByCCAFCgBBMCFIIKAQUghRC/QPY2EYaw+zbw9bNLVx0S62ubj6Ifxu/zv4hhL/hxs9pP08+PwSv2h++66/Qng1AtPjK2VNQ2edL9oO073E2hSr4rEfdeEmhcwPgADd27+wHaQ+AJzHrmF+49rxqMiqSJr63H6R9h7MnkLqryK+IAAGgSx6AeG8/SPsOJ+5AcAlqCL/RZk/bL56gcsrLA/aDtG9x+KxiTaItrFW10RM... | 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+ohIMiIiMuDhjKqDxcMEqsAn0944jiAUERHVcU5M4EC... | i ( t ) = C \frac { d V ( t ) } { d t } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABdElEQVR4nO2X3ZWDIBCFb/ZsA9MCLdACKSEpwZSAJawlmBJMCVoClqAlQAmzD65R8Qc15+wT8wbox507gxwvjM/i68P3IyACIuB/AO5+DRJ4K3RgnZk3HzAAygBgM4UHAPeBB1mtgfq8Bw0pBpLzHigYFlCnAQU0s4I4C7Ak7J46rpqYuZwAhF1cAZe4dXmEGmFNQUo5ABBQbQtYAaS1JgCQAf1rKTSQvcmhOi4D1GiHQB2/l1Q9K90j0ro9noKlYVcNmMMKUpePh4H... | A _ { e } |
"iVBORw0KGgoAAAANSUhEUgAAAUAAAAAgCAAAAABGeP6YAAADG0lEQVR4nO2Z65GbMACE927cgFKCWtCVoCuBK0EuQS4Bl4BLCCVACVCCVQKUsPlhnrKFhbkkkwz759gx0scuL539Ruzaove/fQD/uvYCN2ovcKP2AjdqL3Cj9gI3ai9wow63P+1JOJnGDmovtbTCN+7ipNbRc6wihuBT546J+U10d7Jq2PZikiQblZEqY5waZZmKxjMVUhbiZ/Qca4gh+Mxp2PhJVtGtQNFv+zFvBVpNUieR86WSZGI8YxRJo2OPaRUxBJ+6zMQXuI5... | \theta _ { 1 3 } = 0 . 0 8 , \qquad \theta _ { 1 2 } = - 0 . 0 4 , \qquad \theta _ { 2 3 } = 1 . 8 , |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAAFO0lEQVR4nO1Z7XWkOBCsvXcJKAVtCNoQ5BDYEOQQekLAIWhCgBBECCIECEGEUPdDwoDH4LFn1ut7z/VjQF+tQlK3unt+EF8b//xtAm/hm+Ct+CZ4K74J3or/OcHp6QxgenqclseC7gQAGE/9poz2fE+GPECtUJGNAiJZK2BYNUYLJJK0iCSZHBBIMkGOhL4TRwRdqFFTakIxuSZArxq9DKWsNEk2EnUW1my+408SJAXRRQ6oYpUYXqxMgMt8XKkoBKt7LiD/PT6DqnU... | n _ { \mathrm { f r o z e n , ~ c h i } } ^ { m , \mu \nu _ { \mathrm { m a x } } } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABiUlEQVR4nO2WzXGDMBBGnzNpQC04JagFWiAlkBJwCXYJuARcgikhKiEuAZWgHPDEeFeLYTyeyYG9SSxPq29/YJN4zt6efH8FrIAV8GLAcSPt4+uU9dzk50EMhHgA6gIgxEsX2dZVxjWZ1gP+ttwDlfaaALRAPVo3Yv0QUAPteMMD39JrIgsdUIw3PKCUtAExgHdyN8wHqAC45NxsQGAI+h7plZ+poQd6mRV+ZmdBVEFKqWBRGmUVpDPge+VnaiAlCJ9QnFVWbA2EBK3... | R |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAMklEQVR4nGP8z4AfMBGQH1UweBVcDcNQ8R8FhDLYowr8J2gFmglXQtEM+M84mqKGkQIAv5c/5k65MgUAAAAASUVORK5CYII=" | ^ { \ast } |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAACACAAAAADGhol3AAAN0UlEQVR4nO2dzXmrPNeFl8+V4TfRUwKnBLkEuQRcApQAJZgScAlh8BUAJVglWCVEJegdgPkxAmMjBJzonjgJjoXFQtr6Ye2DgsPxOX/WPgHHvnECcszCCcgxCycgxyycgByzcAJyzMIJyDELJyDHLJyAHLNwAnLMwgnIMQsnIMcsnIAcAP47yA//0wloO4j1iqYgo8eH5fVl+lQc73MCAMmx3a01/4EBAPLeESegDVCsfQITGDpHJ6BNEBAAfJ2yYwZIFIBg3tB7GAX... | \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 ] , |
"iVBORw0KGgoAAAANSUhEUgAAAWAAAABACAAAAAAB0fISAAAG70lEQVR4nO1bz3nDLhJ92W8b4Lw3UgIpAd/2SkogJeASpBKkEqTznlAJogSpBFHC/A76Y+wgWY4lJ97P7wKGQRo/wzAM4zfCC3viX7+twP87XgTvjBfBO+NF8M54EbwzXgTvjBfBO+NF8M54Ebwz/v3bCtyE//7vtzW4AmkvW56K4Oo/z3ewf3smlQ8Z3+5hqTo9rE1bANBq7eDvA46GRSWfaQZXnAOoKikXpa70Dwj59akqVSUh1moSGZAck6joM21ypQH8l5flu5u... | \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 } } ; |
"iVBORw0KGgoAAAANSUhEUgAAAcAAAABACAAAAACoifjDAAAGfUlEQVR4nO2c3ZWjOBSEa/ZsAtoQ2BDUIcgh0CHQIYgQIAQTggkBhYBCgBAghLsPgEH8Y2h366y+Bx9bg91VXKkkhD1/CA6b+eunBTjO4QpoOa6AluMKaDmugJbjCmg5roCW4wpoOa6AluMKaDmugJbjCmg5roCW4wpoOX+/8B4Fzi4XYiO/4UTsKmCqUYrg+VLFmRgfUsdeMG6zjJHLWUybcyfi3ewpYIII+lZG3esoHh9RJrX+cSsnGbucYWxzeiLez545MAHAg7h... | \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} |
"iVBORw0KGgoAAAANSUhEUgAAAmAAAABACAAAAACYM5QTAAAJl0lEQVR4nO1c3ZWrOg/d566vAd8SPCV4SnBKYEogJZASSAlQApSAS4hLiEuAEvw98A82v2Zm7lneL5NJgiSbbUmWRf5oeHhch39+2gCPvxueYB6XwhPM41J4gnlcCk8wj0vhCeZxKTzBPC6FJ5jHpfAE87gUnmAel+J/P23A3wmlAEoBWQGM/LQ1V0GBrn7He7BLkD+/bimA/Hm7yZ825hKox+efj48/n+nK9/74w+5r8KEKDkB94O+c4T8IIwrxkLxY/J73YNegUmA... | \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} |
"iVBORw0KGgoAAAANSUhEUgAABcAAAAGACAAAAACvz55BAABiAklEQVR4nO2d23mrPLeFR/azG9BXAqsEUgIuAZcAJUAJUIIpwZSASohKsEqwSuC/AIwkBAjsJHY835u1knAQp8Fkah4+WhAEQRCvyP/99gAIgiCIfZCAEwRBvCgk4ARBEC8KCThBEMSLQgJOEATxopCAEwRBvCgk4ARBEC8KCThBEMSLQgJOEATxopCAEwRBvCj//9sDIAjiJeAlAKD55WEQOmSBEwSxRNn/KwHJufJdrfrvIwcA1Pw7RkUAIAEnCGIJ8Zn3/0uaJgQ... | \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 _ { + } ... |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABGElEQVR4nM2TQXnDMAxGX/ONgCmEgiiYQgfBFFIIpdBB6CAkEBIIKwQHwr+D7VrpYbvsMJ2k6FmWfsUn8bMNv+T/AHg7hsu2FydCLJ663c8HeJIk9QrLZQOCAfsGYMcKE0C81+gGZElSAxLAVQ43eWACuPV2IiQPrL0pSVLuOO1AK1nmAVYHzACzAxIEOSAB0eVz6PEAsABepM/9qQJI+uI5dTFzN1Jb8C3O/sAAPIDgbrgA1j40wHr+Y/Px8HIa9guvgNUqxd738VC... | \alpha |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAAC9ElEQVR4nLVX7ZWrIBC9eec1MFsCWwJbAinBlGBKICW4JWAJbglSgpQQS5AS5v3wC5AYn+fs/ZHogDPXYRiuF8avoBfHbPjzwkF9u1wuH2ejPz4eGfPXZ52xcg6dINNpyOzgW1REesjYnwVElxqzBAZCw8yqOhW/hMyFZ2Y2BHOEQHn23d/EZ26RMsgReAL6dPwG2KQ5QAV6viVggPZs/EGg3J2QjucIqBeleQQaeO5OMMmETahWF+P2UKcICBTzZVdQ0TGzUaJcV2V... | f _ { \mathrm { t e m } } ( n ) |
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnUlEQVR4nO2T3RHCIBCEFzvAEmghLZASaEFLoJZYQlqAEkIJWgKUsD6g+UGEd8d9uWHvG25h5gTR1qnT/z0gjUKcbwCQrjuCb0WpzEXBkbRudbkB2pKk1WQ0rAH2xd05uSoQc5kn7i/gFlLmYoLXnWd60wZkkoczS+mF9Qyrhm8/mfU4DvgEvOoBQ2GUGWVkM2RQnQxBF4b47wUA4AmDp79AlRBD2AAAAABJRU5ErkJggg==" | \gamma |
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAAB20lEQVR4nO2WwZGjMBBF32xtAkqBCUEbghyCHIIcQhMCDsGEACGIEFAIKAQUQu8B8LCesbfmNBf61vot/adWU8Wb8rPx64f9D4AD4AA4APj9Wi4GyuDXLGdHDYRqk59Jqa+8ASh98RWUlmDW0jbf9/PfDlxLrut2szsPkCCX1fSplGr6E0C5+HDJ5EsIl3XX2YdTpi6bhb4KGXXW6NbsJqIqH+pzSWadTVTVKKoSNXSq0qiqaieqIjqHtXR9gtYUwucHwGLuWTYPHXw... | \mathbf { s } = ( 1 . 4 5 , 1 . 4 5 , 2 . 8 9 , 0 ) |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABWklEQVR4nO2UzW3bQBCFPxpqYFvYFraFdQnrElYlLEuQSrBKkEogSyBLEEsQS/hyoB35kCgBfAkCvcv8YObNPGAwnXwPL9/sfxL8PwSXvnv9jPfd2+VB+frWdd1+3fz+9QioGjejVxh8gFKGoVBVp3RQRXWKn225cn1IoJpQpzCp+gIw1jACMIZAfKSgAuQI61tNW041TyWpmq6N38z+gnjWxm0LdsA6p3RZA/Q5En6OG8f76MPdXU6twCmv/RJqZgeMhcxYWMeBOd0... | M = 3 6 |
"iVBORw0KGgoAAAANSUhEUgAAAL4AAAApCAIAAAAEdQQxAAAgDklEQVR4nL182XLcSJKte0RgzT2TpCiVarrG+qV/dB6u2f3AO/XQZV2lLpHikiv2iPD7cIAgmFxK08vAZLIkEgnEcuL48SXA/+f//hcRefqDg5lFREQMsYgwMxGJCBEppZjZ+9fvIdL//MV5McYopay1XdcppaIoYmYiIaKu66y1xpgoirz3zjml1Msmje8cWoXPaNv48EJC3hOxEmZ+uqGc33l4gBcR5c5b/tbBzC+7GRozbu1ZO8eDOb5D6MVwgRMRZs3DMb7y7Im... | 1 8 0 ^ { \circ } - a = 1 2 6 ^ { \circ } |
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAG2klEQVR4nO1c25WjOhAs79kEdENgQ2BDkEPAITAhQAh2CCYEKwQIAYVgQhiFwP2wjR7ohQZ7+aB+FgbcVFNSt7qBPYzYsWX8+tcEdvixC7Rx7AJtHLtAG8cu0MaxC7Rx7AJtHLtAG8cu0MaxC7Rx7AJtHLtAG8cv4Hg4HA78Dbb58Q1GI3DqFA6Hw+FwcJ3ZOI98GG4ihxHHrADo+hfl9Y2sbzUC4niW7nQAa1wt+6PoP0MpBDeR3wCIog6zTCWapN5w6h/6nARyAIN... | \left [ E - ( U _ { 0 } - U ) \right ] / h \rarr U _ { 0 } / h |
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABgCAAAAAAxn/pVAAAIfUlEQVR4nO1c242sOhZdZ3T/Zzwh+ITgDoGSJgE6BDqBK9HS/R6JkiYBKoQiBAgBhwDSJIBD8P3g5Vc1lBuOT9OsP6Bg7+W1/WBvFz8kToTEP0I78N1xChAYpwCBcQoQGKcAgXEKEBinAIFxChAYpwCBcQoQGKcAgXEKEBinAIFxChAYxxOA89AePIUfR6sHiJ+sDO3DMzhcD7iK0B48h6MJwK+hPXgSBxPg+hLag2fxR2gHNsX7V4v/o/WATMo0tA9P4lgCfEGcAgT... | = \langle \bar { \phi } _ { n z } ( \vec { r } ) | - \frac { 1 } { 2 } ~ \hat { \nabla } ^ { 2 } | \bar { \phi } _ { n z } ( \vec { r } ) \rangle |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABT0lEQVR4nO1VwXHDIBBcZ9IALZxLuBZwCWqBlCCXYJcglWCXgEoQJVgloBIuD0DOgGTj+JNH9rVzgp29PUA7wXv4eHP/HxD4XCv2wzyRNuqXDq77L3BDx8NcZUFydOBRRGSEKb6toBCwaHxgphSvESCK+6WFrRDIQ+ynLmXHVRHkIQ7KJOqqBPIWoBfaVGVQjHExPg9NIMf9/viCgzaxlOENXrxsIhdQHMmIJpCLlkfIWzCuD2EeuItZPplGJugZxtqLAUfbrSId2jI... | Q _ { f , n } |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABACAAAAACfa/WyAAAFLElEQVR4nO2a25WjOhBFt++aBJQCEwITAh2COwQcAg7BDgFCuISAQmiFYIVgQmA+MCCJh7DBPTNraX8ZkAvVoar0gENDYIn//nQH/naCQB6CQB6CQB6CQB6CQB6CQB6CQB6CQB6CQB6CQB6CQB6CQB5+rG9aKuLjvnevFVG0g5lCKQ1xmm635XKwtjs+ppokWduLnzW3zd5onQwH8qTJLltNUp5qRFwrSHMAiqeEWnIaaAzukwYu7cUcsmYrmRhs3DPYw2YFZPemyXt... | E ^ { \prime } = ( 1 - \beta ) \gamma E |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAG4klEQVR4nO1b4ZXiLBS9+52vAVpgS2BKwBJiCbEEUoKWICWYEqQEXwlSgpSQ/QEhhJBsnHXUc2buH5FBuHl5Cbn3ZX51+N7479UEXo07AuCy72ZuoKW+pe3dhJ6NmQDskvavzea3BrDToyHN6OBot4vf2a6PAL1RAOhj89EW+rsSLvXQvoquu/Ku67r6lAw5y/QHt6o77UPz1F1F6Fbn4vSvwI3fuhu/TfrLGUBiyHgSADgA7GMKENDu+xYAHGqw8ANtwUUp1K+FqRi... | \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 ... |
"iVBORw0KGgoAAAANSUhEUgAAAOoAAAAeCAIAAACt9RUWAAAkkUlEQVR4nH1cWXcbx9HtnhUDzGDfQYAiRVKbZdmx4+Q9ec1vTX5BTl6cE/tYXmLSksUdJEgQ+zp7T38Pl9MagsqHBx5wOEsvVbdu3aoh/cc//qEoCiGEMSbLsiRJQRAoiiLLMmOMcy5JkqIotm3ruk4pDcOQUoo/ybLMOQ/DUJIkQogkSZxzxhghhFKKI4SQKIoIIbihYRiD0fDvf//71dXVX//612+++QYny7JMCMFIwjDknFNKOefiVlEU4QsO4jilNIqPiNNwLc6... | \because M ( m , - \frac { 4 } { 3 } m + 4 ) , A ( 3 , 0 ) |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAABACAAAAAAmWiTTAAADw0lEQVR4nO2Z65mqOhSGP/djAzklZEqIJcQSsIRYQijBKQFKkBJICaYEKIGUsPaPLfc74hmZh/fPCKyE9SVZF50D4Xfz56cdeDe7wK2zC9w6u8CtswvcOrvArbML3DofKdBc3GpzHQE/1Hr+wDBq3Aj4Kg4BgI1ubK25jvYq4vB8nz0hM1DFIGuAaMEq9aCi9RYL94SIkphmw6HLiyxgfP4UPQjPE2qtybB4pAarXmZe8rIzmt2IiB6JfEyY7Gk9wh9n/jE7rBVcWLl... | \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 } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABZUlEQVR4nO2V0XXDIAxFX3q6gFZgBVZQR8gKXoGMkI5AR3BHICPgEewRyAjqh8FGlNP6JD/9qL4gti7S08M5CZ6Llyfz/wDgVW+n27LcyZozHSbIHskZgNgCIC8HowY4AFcRmQcA8THAdS3FAOeHAKaq5SCgFnHgIt1xCdUUjNlWxwF9H0wN437pLdfoNsZFzjWiQdiF0hPuAgJg0r71qJLmZsJdgMV+YpMvwrC/AZxqIACueVrRewAPDPsuUW4nOhc6wO+AoPLFAaN... | 2 \omega |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAADXklEQVR4nM2X3XXjIBCFb3LSAFsCKYGUQEpQSiAl4BLkEqQSpBJQCVCCKAGVcPcB/dmSvbaz58Tz4AOI+TwaZpjRCzFKXQg8i3RCTcPXaVDjeeyDbsM0fBk9WMfyt6zZla9SjiOSJHvN55LZoPGIv+2v+WpfpDqOI5KkU7/nqwvSi0Ry8uCx+D1fXRCpawBjFsfu+QzE2sBWyXk9BgAIYU/nPhm6H6nrbMkrAHTztRi+6/Y9DF9t+x5/hAfqQ/cnAEB8bx/RlzKrkST... | ( x _ { \mathrm { p i x e l } } , y _ { \mathrm { p i x e l } } ) |
"iVBORw0KGgoAAAANSUhEUgAAAuAAAACACAAAAABv3oOmAAARiElEQVR4nO2d25niPLOFV+9nJ6AJwROCJwR3CO4QTAgmBAjBDgFCwCGgEHAIKAT9Fz7JJywZnehP780M3W5YwLJUKkmlL45A4Pfyf64FBAImCQYP/GqCwQO/mmDwwK8mGDzwq/n/l7/9AgAUmQ0lgU9GcMqx/VGSAACqqn18si4K2DL4jR4BJO2jr+6nifgwehgRFvgoBKfQxtFxZ5trDQDEVSvJX5MApPt/Y+z40j1MASC9bzxD4L/B4JQTAGT9L54RAOLKJhIxeNL... | { \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 , |
"iVBORw0KGgoAAAANSUhEUgAAAsAAAACACAAAAAAgg4B2AAAXa0lEQVR4nO1d7bmjoNZd8z5vA9wSuCUwJZgSPCWQErAELUFLiCVoCVJCLEFK4P7wIwqomJMPM3H9mTlGcatL3GzYe/3ROHDgc/F/7zbgwIHf4CDwgY/GQeADHw2bwKqUG9uQ5fivTP3GngMHNsEksIoSlZ/y7q+f02m9iboMxn/y5DGWHTjggT9GFOJvQQB14hwAoKJsPUrxc5n+XWfxo6w7cGAFRg+cywwAEVHrBxCy3kIWGBuoqh9i2r3Y7gPtC1OPDIdTtoj/n/5... | \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 ) } \\ & ... |
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAAC+klEQVR4nOVY23WjMBQc9qQBpQS5BKUEpQRcAilBlGCXACXgEqAEKAFKQCXMfkgQmYdNHMc53p0Pg4U0dy7iPiAinht/flvAd/HfOmDvquIbuMmB1yja31vIrbjJgb6+t4zbMTjw/qVV6v5CFrFB1b8SxKffVbGCLaq8A/mPCrkVW1S9AACOlQ7GGgsp/bm1Eo2Qs3EAqMSVWDgj6hRsE6yvACUu2tik6g+AfJeiiqLIhUz1doI9vncAqih6ze3HafcBoNmlnc333UC... | \operatorname { t o r c h \_ o p e r a t o r } |
"iVBORw0KGgoAAAANSUhEUgAAAVQAAAAhCAIAAAAJaMQkAAA85UlEQVR4nH19WXMcR3ZuZlZV7zsajcbSjR0gQXAZSpQoDbV4ZmxPzNgKL48OO8IR/l1+sJ8djvAmx9yRQjMiRQ3FBSJB7A2C2IEGet+rKvM+fF0HCXDu7WAggGZ3VS5n+c53Tp7i3z/+VgjR6/Xq9frW1tbXX389MjLyxRdfRKNR13VN01RKcc6llCYXjuMwg+NNwzCUUviMlFJ5LymllJJzLoQQQjiOK4RgjLmuq5QyTdMwDNd18Rlc3HVdv9/vfdd1HMfv97uuK4S... | \sin ( - \frac { \pi } { 4 } ) + a \cdot \cos ( - \frac { \pi } { 4 } ) = \pm \sqrt { 1 + a ^ { 2 } } |
"iVBORw0KGgoAAAANSUhEUgAAAOAAAAAgCAAAAAAuriuJAAAEMklEQVR4nN1Z7XHrKhTc++Y1QAu8EkgJuATdEnAJuASpBLsEqQRRgihBKgFK2PfDQl9GsWPHk5nsj0QT9iw6h/OBnT/E78Y/P/0C78avd/DfewTnyhfkLwOkHvQLCg/BN3pvjzsORn+Uz+8bD6IW7sO83UF12H3LOw4KXfjn9218K6DtCyF6EEPcjeFbazCiAaDefoBwcjeI3+VgzP3RyMsJ0AIAMLgHrbNSn5t5Dfe3yRquUnSoBidr9fAG806nEgCcdwAglLn6JOq... | \delta ^ { - 1 } = ( D ^ { S } / D _ { 0 } ) ( \sin \theta ) ^ { k } ~ . |
"iVBORw0KGgoAAAANSUhEUgAAA4AAAACACAAAAAB/t1gWAAAUvklEQVR4nO2d67mqPLeGn3dfu4GsEmIJzBJiCVgClhBLwBKwBCwBSiAlQAmkhHw/OAVECRJgOs39Z7pcGnDAIOOUkf8UHA7HXvzf3ifgcHwzTgEdjh1xCuhw7IhTQIdjR5wCOhw74hTQ4dgRp4AOx444BXQ4dsQpoMOxI04BHY4dcQrocOyIU0CHY0f+f5vDFEXhedscyuH4IDaZAdPj4XI/HQsUl2KL4zkcn8IGM6A8372EAdef7EeKZP0DOhwfw/ozYHGs9A+cHaW... | \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 } } |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAFRUlEQVR4nO1a25WjOBC9vWcTUIegCUEbgiYEJgQ6BHUIdAg4BBwChAAhQAgohNoPG/S2MdjDOXTfL4OhVLqql0q8Eb43/tlbgb3xQ8DeCuyNHwL2VmBvLCKge7UWO2IJAfq/X8elYAkBZ2jxckX2whICGuQv12M3vN2vBPU72m9tAWeI485/CQGH9oAlLvCGkf0FTXbCfQs4I3/Z/L/Or5K8GP/efaJB9qrBT5/YfTd+nwAm5asGZ3z/6LIgBhwbu26GumbP0S/Y1QL... | { f _ { i } } ^ { \prime } = { M _ { i } } ^ { j } ( \gamma ) ~ f _ { j } \quad , |
"iVBORw0KGgoAAAANSUhEUgAABCAAAABACAAAAADuPFnwAAAPZklEQVR4nO2d25WjPBaFd/9rEtCEQIVAhyCH4HqZdxwCDgFCgBDsENBak4AJwQrBhKB5wAZduV9UNeynbhvDRh91kI5ufwQOHTp0yK5/9jZw6NAhfzU2QOSnfBUfhyapwXE/pfs6ObSm9uP8R2tisDtHGAUAcM1fxuH8C7TYxNihAWpwVP9G+NjbzaG1tCPnf6n/zS8AWBrFAVgamYdzINjE16EhanCUB5ffrB05qzUI/kXCqgSAECV5WLxckJBtnB0aoAbHpcoOLr9... | \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+RLgCYlX243ycYLQAYKAsAJCRghJS5eXyJKtkTByD35XiSdAG7UttcAfj... | \tau = t _ { j } - t _ { i } |
"iVBORw0KGgoAAAANSUhEUgAAASAAAAAgCAAAAACXn/roAAADUklEQVR4nO2Zy5WjMBBFb8+ZBNQhaEKgQ5BDIAUmBDoEOgQcgh0ChGBCMCGgEJiFfyAkUYbjgxfzVoBU6LpcH1n+6NletjFbIwT1a2sAwP7Z7bZmCOodHPRtqbdmCOoNHNTu4X+KRfQDqtwaIiihg2wsB6KD86/eQ6nXvOGlkjkoWkZX1tgfyNIV9q9WL1EWmxgdnJci6VaYv1qij3YGzKLBeZWo83Lr1+u3JMqiZVRcY+trqdLZ8Omew8YFyM91k8RB0TIqr7Ft01j... | n ^ { \prime } \boldsymbol r ^ { \prime } \boldsymbol \cdot \boldsymbol \Phi ^ { \prime } = n ~ \boldsymbol r \boldsymbol \cdot \boldsymbol \Phi |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAADa0lEQVR4nO2Z35mzKBjFz+yzDbAlsCWwJbAlmBL8SiAlkBJMCVIClBBL0BKkhPe7ABX8G+fGeXZzbsaBn3jOKwEy80X4f+uPqw1crU8BrjZwtT4FuNrA1foU4JBovtX1k9SsXI36M7l2DgAgZQo8y+2RO4gzRnwDGZ+jz9x3lgfQGQ+UHECWYM0wJaqhiV6Kt1NT1dKOVL/XO1Otaq2JiHqNIzbTWZ5IqZ6o5S+iWYKl4VkBeiIiqOnZivbU7ncTEfU2qKX6ZWObPRn... | B _ { 1 } ( \varepsilon , y ) = y ^ { - \varepsilon } \ln y = \ln y + O ( \varepsilon ) , |
"iVBORw0KGgoAAAANSUhEUgAAAgAAAABACAAAAABJ1JBjAAAHEUlEQVR4nO2d0ZGrNhiFz2bSgJIGMtoKMmwJuAS2BFyCKQGngMyYEkwJpoRVBYlVgvWQvJMHBAiQsNCCcC6cmbvr5Rh9/r2/sYwOe99K7Nqyflr7AexaV3sDbFx7A2xcewNsXHsDbFx7A2xcdg2QsIXwowMvRh0d2XOt6zy1rewagInvPBTXgRejjo7sudZ1ntpW098COMDNY4uRvuOAc7uPU5fC+q11lRqnNgD/POL8+Wmys/P5l9zgJe/imE3E2VEXwvqtdZ0aJze... | \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 } ... |
"iVBORw0KGgoAAAANSUhEUgAAAkAAAABACAAAAADXbpfDAAAL0klEQVR4nO1c/7WrrBLd963bAF8J3BJ4JXBKyCnBlEBK0BK0BC1BS9AStAQpgfeHvwAxYkhO8t3nXuusleTgzIAbmBlGfymcOPE4/vNuA078u3ES6EQQTgKdCMJJoBNBOAn0DhTy3RY8DSeBfh7Zn+/m3TY8Db/fbcD/G7qs6N5twzNxEuhHkVUFOP4mBp1b2I8iKaK6pO+24pk4V6AfRcz+KvbgbyOQJO+2YAeXdxvwdPxVW5j8yt5twt+C5o9noPjOFahC1wE0epY... | \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 |
"iVBORw0KGgoAAAANSUhEUgAAASAAAABgCAAAAACYx/CEAAAHvElEQVR4nO2c7ZmqPBCGn3OubSCnhGwJOSXEEtgSYgmxBCgBS8ASkhJICVAClDDvD77Ch0bdVTjXy/1nV0EMTyaTmUzwF2HnFr/XbsDW2QUKsAsUYBcowC5QgF2gALtAAXaBAuwCBfhYuwE3KG2p+NqN2KhA57IuXQ3IXaBlLq5euwktG/VBpiKzuvEA2KxAAGS0dgsAbFmgjbBhgcTaDQCwaYHY2g0AsGmBtsEuUIBdoAC7QAF2gQLsAgXYBQqwCxRgFyjALlCAXaA... | G _ { \mathbb { R } ^ { 2 } } = \frac { 1 } { 2 \pi } \log | x | |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAAAgCAAAAADYwvk4AAAEQUlEQVR4nOVZzbWzNhC9fudrQC0oJSgl6CsgC6cEXglQgikBSjCb7KEEs8n+UYJVwmShX6TBhufkfMcnd2MQ0p1hNLoj4RPh/40fv9qBV7Es3x2pBACc3j0D/vjruyNHDbx/Bpi/7+Ilgo9/yZFfheH82vu//RL4fXwxAG+eAb1+8f1jAIwBYHZL6nzIyn7eQFyMYC221SE/HNNk4o0PgOkFgLbfS9IeisB+3kBshnV7z1H0Wh5xAwAwN/Pyswm3vgo0XdppmIwREhf... | ( | H V \rangle + r | V H \rangle ) / \sqrt { 1 + r ^ { 2 } } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABVUlEQVR4nO2U0XXjIBBFb3K2AbYEbQm0QEogJZASUAlyCVYJdglQQlSCKAFKePshJ5a09k+Srz2eH5AGLm8eIz2J78XzN/c/AP8ZoAGtfR3Q3hrn39ONFaWfII8A/csBYHztyzWvJUKS9PGwihoCSVI8SVI0syT5el1w2ZO8pGT/BaiKJKmaKimGIEl+lb+UMDqgOPJL3lVgLoM7Awznff4COFugdGOO9o5ZXQaKCT1M3er9r8UoLDDZMgC0xUuzZTUoHcOfMRRLy8Z... | ( k - 1 ) N _ { k } |
"iVBORw0KGgoAAAANSUhEUgAAAKQAAAAiCAIAAABePuXTAAAZ4UlEQVR4nH17W3PbOhJmNwDeqatlO8mZk2Sq5hfM/3/fp6192dqHqdpKZuI4J3YsyZbEO9D78JEQLGeHdSqHpkiw0Zevv26A/H//9/8kIhFhZmNM27ZRFDHz4HoRERGtNU6MMSJCRETEopxzeIoUKzX+iSuimIiInL+fiJhZCeFdRCTCSin/iL/OzCKC0YhIKUVEzjmciFjnHAYUxcysSeNmrbV/Fo/4K358UeycI/yNKyLj+EJaa2stfmTm3lmttXMOg0AYEbHWerG... | b = - 5 + 4 = - 1 |
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAEqklEQVR4nO1b7bWqOhDdvvUaSAs5JeSUACVgCZwSQgmcErAELAFKkBKgBFLCvB98qGFAAncR37ruX5ht9owDM8kYPRH+bvzj2wHf+ATAtwO+8QmAbwd84xMA3w74xicAvh3wjU8ADrJzDb9+qv66On+FzQw54fYILxodQIcgi1qKZXddixtFM+SE2yO8aHTAQQEgIipwIyKiWM+TLLdHeNEoEdGBNUDCAEBzEbMkz+0RXjQK4KgUaGMZaxRElEsAGU8y3B7hRaMD/t0... | \{ 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 } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABaElEQVR4nO2W0XWDIBiFP3u6ACu4AiuwQjOCGUFHqCO0I4QRZIQwQjJCGIE+oDmSQkNIzumL9w3Rj+v/e8HG85zennx+A2yADfAqwHs0an7NS4FsVfsHwa+Vu6ntLz6jJnrIAHYA4FMCYJ2xAKL7LHHgvfdTuD5dL5wUACptogDg/UxIAoq6ENybITVXBJACAF0NIBT0bKsBs9yzgJTKAPPSshbgwst3ohYwAiCS32IJQI8A7ZQyUADQ+x1Ad0xV4DbOKw1hPesARNd... | \mathbf { R } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAACFklEQVR4nO2W0bWrIBBFT956DcwtgVcCLZAS0oK3BG4JWoIpIZagJUgJWgKUMPdDjYCE6MrHy0fmJys4bIfjYeDEeC3+vDj/A/gA3gTw98H4aAwAeQEAuKZ4TOBE2FICQilFVDKzlZdU1hQJgNUEUQ7MzFxTwVygPAJoBWidYKUugP4AQAPSev97APR4/gZQAMVmJCNBDEhk35CTIAIUgLBRxpCVIATUANptSk6CADDQRgBm5qwE7Fu5coBOeE1mvewVgGQBnJWAvb1... | G _ { \theta } |
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABxklEQVR4nO2W0XWrMAyGP+65C7gjeAV3BDICK9AR6Ag3I5AR2hHMCPEI8QjxCOpDILENSUz70nsOekKAPktIv00l/Mz+/DB+A2yADbAI8MP7bgf4/a6qqpc3V0CQm2kAajm1oGsAdZRnFgM6DdB16H8nEWkBswow5qC6yFsJ6ABzmrx6PSANUVA/BWRdAHN1QgC9to1xiAPUOsBADBiAeh3AJSGBuKAiQCArQa0sweWA5wnMvkEdOyWAv9G1T0J8kg6DnpxkmQSQ9u2... | n _ { y } |
"iVBORw0KGgoAAAANSUhEUgAAAKAAAAAgCAAAAACwFCwpAAACNElEQVR4nO2X4XHjIBSENzfXAC3QAimBlCCXQAu4BLkEqQS5BFSCKEGUACXs/QDbkYxPuWgml8x4/wg/Pz6WtdDIL8T31q//bWBLT4N79TS4V0+De/XjDKYxIYzAGJZ1vwUKWw2fpKwM+iRfR/i3s3pdwM7jmpRWhXT828KnKuUOUqNwIUsazQjHxr4rzw1XwrpA292VFtwK5R5yT1kneIQABCRaJAA4BAA4aQDJ3/bs9d1O7akM+hLGfYx6E3KjPEhwEoPVJKbYRJK... | \mathfrak { M } : ( x , t , \omega ) \hookrightarrow \psi ( { x } , t ; \omega ) |
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