{ "version": "1.0", "truncation": null, "padding": null, "added_tokens": [ { "id": 0, "content": "", "single_word": false, "lstrip": false, "rstrip": false, "normalized": false, "special": true }, { "id": 1, "content": "", "single_word": false, "lstrip": false, "rstrip": false, "normalized": false, "special": true }, { "id": 2, "content": "", "single_word": false, "lstrip": false, "rstrip": false, "normalized": false, "special": true }, { "id": 3, "content": "", "single_word": false, "lstrip": false, "rstrip": false, "normalized": false, "special": true }, { "id": 4, "content": "", "single_word": false, "lstrip": true, "rstrip": false, "normalized": false, "special": true } ], "normalizer": null, "pre_tokenizer": { "type": "ByteLevel", "add_prefix_space": false, "trim_offsets": true, "use_regex": true }, "post_processor": null, "decoder": { "type": "ByteLevel", "add_prefix_space": true, "trim_offsets": true, "use_regex": true }, "model": { "type": "BPE", "dropout": null, "unk_token": null, "continuing_subword_prefix": null, "end_of_word_suffix": null, "fuse_unk": false, "byte_fallback": false, "vocab": { "": 0, "": 1, "": 2, "": 3, "": 4, "!": 5, "\"": 6, "#": 7, "$": 8, "%": 9, "&": 10, "'": 11, "(": 12, ")": 13, "*": 14, "+": 15, ",": 16, "-": 17, ".": 18, "/": 19, "0": 20, "1": 21, "2": 22, "3": 23, "4": 24, "5": 25, "6": 26, "7": 27, "8": 28, "9": 29, ":": 30, ";": 31, "<": 32, "=": 33, ">": 34, "?": 35, "@": 36, "A": 37, "B": 38, "C": 39, "D": 40, "E": 41, "F": 42, "G": 43, "H": 44, "I": 45, "J": 46, "K": 47, "L": 48, "M": 49, "N": 50, "O": 51, "P": 52, "Q": 53, "R": 54, "S": 55, "T": 56, "U": 57, "V": 58, "W": 59, "X": 60, "Y": 61, "Z": 62, "[": 63, "\\": 64, "]": 65, "^": 66, "_": 67, "`": 68, "a": 69, "b": 70, "c": 71, "d": 72, "e": 73, "f": 74, "g": 75, "h": 76, "i": 77, "j": 78, "k": 79, "l": 80, "m": 81, "n": 82, "o": 83, "p": 84, "q": 85, "r": 86, "s": 87, "t": 88, "u": 89, "v": 90, "w": 91, "x": 92, "y": 93, "z": 94, "{": 95, "|": 96, "}": 97, "~": 98, "¡": 99, "¢": 100, "£": 101, "¤": 102, "¥": 103, "¦": 104, "§": 105, "¨": 106, "©": 107, "ª": 108, "«": 109, "¬": 110, "®": 111, "¯": 112, "°": 113, "±": 114, "²": 115, "³": 116, "´": 117, "µ": 118, "¶": 119, "·": 120, "¸": 121, "¹": 122, "º": 123, "»": 124, "¼": 125, "½": 126, "¾": 127, "¿": 128, "À": 129, "Á": 130, "Â": 131, "Ã": 132, "Ä": 133, "Å": 134, "Æ": 135, "Ç": 136, "È": 137, "É": 138, "Ê": 139, "Ë": 140, "Ì": 141, "Í": 142, "Î": 143, "Ï": 144, "Ð": 145, "Ñ": 146, "Ò": 147, "Ó": 148, "Ô": 149, "Õ": 150, "Ö": 151, "×": 152, "Ø": 153, "Ù": 154, "Ú": 155, "Û": 156, "Ü": 157, "Ý": 158, "Þ": 159, "ß": 160, "à": 161, "á": 162, "â": 163, "ã": 164, "ä": 165, "å": 166, "æ": 167, "ç": 168, "è": 169, "é": 170, "ê": 171, "ë": 172, "ì": 173, "í": 174, "î": 175, "ï": 176, "ð": 177, "ñ": 178, "ò": 179, "ó": 180, "ô": 181, "õ": 182, "ö": 183, "÷": 184, "ø": 185, "ù": 186, "ú": 187, "û": 188, "ü": 189, "ý": 190, "þ": 191, "ÿ": 192, "Ā": 193, "ā": 194, "Ă": 195, "ă": 196, "Ą": 197, "ą": 198, "Ć": 199, "ć": 200, "Ĉ": 201, "ĉ": 202, "Ċ": 203, "ċ": 204, "Č": 205, "č": 206, "Ď": 207, "ď": 208, "Đ": 209, "đ": 210, "Ē": 211, "ē": 212, "Ĕ": 213, "ĕ": 214, "Ė": 215, "ė": 216, "Ę": 217, "ę": 218, "Ě": 219, "ě": 220, "Ĝ": 221, "ĝ": 222, "Ğ": 223, "ğ": 224, "Ġ": 225, "ġ": 226, "Ģ": 227, "ģ": 228, "Ĥ": 229, "ĥ": 230, "Ħ": 231, "ħ": 232, "Ĩ": 233, "ĩ": 234, "Ī": 235, "ī": 236, "Ĭ": 237, "ĭ": 238, "Į": 239, "į": 240, "İ": 241, "ı": 242, "IJ": 243, "ij": 244, "Ĵ": 245, "ĵ": 246, "Ķ": 247, "ķ": 248, "ĸ": 249, "Ĺ": 250, "ĺ": 251, "Ļ": 252, "ļ": 253, "Ľ": 254, "ľ": 255, "Ŀ": 256, "ŀ": 257, "Ł": 258, "ł": 259, "Ń": 260, "Ġ}": 261, "Ġ{": 262, "Ġ\\": 263, "Ġ_": 264, "Ġ^": 265, "Ġ)": 266, "Ġ(": 267, "Ġ1": 268, "Ġ2": 269, "Ġ=": 270, "Ġ,": 271, "Ġ-": 272, "ra": 273, "Ġ+": 274, "ma": 275, "rac": 276, "frac": 277, "ta": 278, "Ġ0": 279, "ig": 280, "Ġi": 281, "Ġx": 282, "al": 283, "Ġn": 284, "le": 285, "ar": 286, "me": 287, "th": 288, "in": 289, "Ġ.": 290, "ft": 291, "ph": 292, "Ġt": 293, "Ġk": 294, "math": 295, "Ġd": 296, "igh": 297, "righ": 298, "am": 299, "Ġa": 300, "ti": 301, "eta": 302, "left": 303, "right": 304, "Ġm": 305, "Ġj": 306, "Ġ\\,": 307, "Ġp": 308, "de": 309, "Ġs": 310, "Ġr": 311, "Ġ3": 312, "Ġe": 313, "si": 314, "Ġ|": 315, "ri": 316, "mu": 317, "Ġc": 318, "Ġ&": 319, "pha": 320, "alpha": 321, "da": 322, "Ġl": 323, "ot": 324, "dot": 325, "bda": 326, "ambda": 327, "Ġu": 328, "Ġf": 329, "Ġg": 330, "ĠA": 331, "Ġz": 332, "Ġ4": 333, "psi": 334, "pri": 335, "prime": 336, "Ġ\\\\": 337, "Ġy": 338, "par": 339, "tial": 340, "partial": 341, "to": 342, "phi": 343, "rm": 344, "Ġb": 345, "mathrm": 346, "na": 347, "lta": 348, "Ġq": 349, "su": 350, "amma": 351, "lambda": 352, "cal": 353, "ĠN": 354, "Ġ~": 355, "pi": 356, "sum": 357, "op": 358, "ĠT": 359, "nu": 360, "Ġ]": 361, "lo": 362, "var": 363, "ope": 364, "tor": 365, "rator": 366, "operator": 367, "name": 368, "operatorname": 369, "int": 370, "igma": 371, "Ġv": 372, "ga": 373, "mega": 374, "ĠB": 375, "ĠR": 376, "beta": 377, "rt": 378, "Ġh": 379, "ĠL": 380, "ve": 381, "Ġ[": 382, "Ġ/": 383, "lon": 384, "bf": 385, "ĠM": 386, "theta": 387, "delta": 388, "ĠD": 389, "ĠX": 390, "ng": 391, "Ġ\\;": 392, "psilon": 393, "bar": 394, "sigma": 395, "gamma": 396, "ngle": 397, "ĠC": 398, "ĠF": 399, "ĠS": 400, "lde": 401, "tilde": 402, "cdot": 403, "epsilon": 404, "ĠH": 405, "sq": 406, "ĠP": 407, "hi": 408, "ho": 409, "rho": 410, "ray": 411, "array": 412, "la": 413, "ha": 414, "hat": 415, "be": 416, "nd": 417, "sqrt": 418, "Ġo": 419, "end": 420, "gin": 421, "begin": 422, "qu": 423, "tau": 424, "inft": 425, "infty": 426, "ĠE": 427, "xi": 428, "ĠV": 429, "ĠI": 430, "Ġ5": 431, "omega": 432, "ĠG": 433, "Ġ*": 434, "Ġw": 435, "mathcal": 436, "big": 437, "ro": 438, "ge": 439, "Ġ:": 440, "mes": 441, "times": 442, "leq": 443, "ad": 444, "ĠQ": 445, "quad": 446, "ĠK": 447, "mathbf": 448, "dots": 449, "Ġ6": 450, "De": 451, "Delta": 452, "ap": 453, "varphi": 454, "Ġ\\}": 455, "ll": 456, "ĠJ": 457, "ĠU": 458, "Gamma": 459, "rangle": 460, "Phi": 461, "lin": 462, "line": 463, "tri": 464, "rline": 465, "Ġ\\{": 466, "Ġ;": 467, "ĠW": 468, "Omega": 469, "ĠZ": 470, "matri": 471, "matrix": 472, "ove": 473, "Ġ8": 474, "Ġ\\|": 475, "app": 476, "\\{": 477, "se": 478, "ell": 479, "vec": 480, "Big": 481, "Lambda": 482, "pm": 483, "bb": 484, "mathbb": 485, "chi": 486, "Ġ<": 487, "ĠY": 488, "bla": 489, "nabla": 490, "langle": 491, "tar": 492, "overline": 493, "varepsilon": 494, "ĠO": 495, "row": 496, "Ġ>": 497, "wi": 498, "wide": 499, "ed": 500, "appa": 501, "kappa": 502, "cdots": 503, "tarrow": 504, "ldots": 505, "Psi": 506, "zeta": 507, "Ġ\\!": 508, "geq": 509, "Ġ7": 510, "ex": 511, "rightarrow": 512, "iv": 513, "otimes": 514, "bo": 515, "Ġ9": 516, "bol": 517, "st": 518, "qquad": 519, "pro": 520, "rc": 521, "prod": 522, "equ": 523, "equiv": 524, "set": 525, "ci": 526, "circ": 527, "vert": 528, "widetilde": 529, "ca": 530, "ses": 531, "cases": 532, "Sigma": 533, "Ġ!": 534, "dag": 535, "co": 536, "tex": 537, "wed": 538, "wedge": 539, "\\}": 540, "bigg": 541, "text": 542, "un": 543, "sin": 544, "unde": 545, "sim": 546, "ger": 547, "dagger": 548, "eq": 549, "ign": 550, "align": 551, "aligned": 552, "us": 553, "Pi": 554, "cos": 555, "up": 556, "widehat": 557, "cap": 558, "mi": 559, "ast": 560, "Th": 561, "Theta": 562, "Ġ\\:": 563, "bold": 564, "ck": 565, "neq": 566, "mid": 567, "sub": 568, "cup": 569, "om": 570, "brac": 571, "bin": 572, "binom": 573, "fra": 574, "mathfra": 575, "mathfrak": 576, "ln": 577, "lus": 578, "sy": 579, "sym": 580, "hbar": 581, "symbol": 582, "boldsymbol": 583, "oplus": 584, "sp": 585, "angle": 586, "underline": 587, "exp": 588, "fo": 589, "rox": 590, "approx": 591, "re": 592, "rall": 593, "forall": 594, "subset": 595, "\\|": 596, "er": 597, "yle": 598, "style": 599, "brace": 600, "Ve": 601, "sta": 602, "stack": 603, "Vert": 604, "star": 605, "per": 606, "perp": 607, "io": 608, "iota": 609, "under": 610, "over": 611, "vartheta": 612, "or": 613, "bigl": 614, "bigr": 615, "textrm": 616, "di": 617, "not": 618, "sf": 619, "mp": 620, "ac": 621, "Xi": 622, "log": 623, "Bigr": 624, "rel": 625, "meq": 626, "simeq": 627, "Bigl": 628, "stackrel": 629, "flo": 630, "floor": 631, "lay": 632, "splay": 633, "display": 634, "displaystyle": 635, "spac": 636, "space": 637, "Bigg": 638, "inus": 639, "varrho": 640, "vdots": 641, "long": 642, "Ġ'": 643, "minus": 644, "textbf": 645, "setminus": 646, "biggr": 647, "biggl": 648, "div": 649, "mathsf": 650, "Upsilon": 651, "sc": 652, "sla": 653, "hspace": 654, "lle": 655, "sh": 656, "tan": 657, "longrightarrow": 658, "triangle": 659, "pt": 660, "ript": 661, "script": 662, "ddot": 663, "underbrace": 664, "sinh": 665, "brack": 666, "sto": 667, "psto": 668, "mapsto": 669, "ch": 670, "top": 671, "substack": 672, "leftrightarrow": 673, "eck": 674, "check": 675, "cosh": 676, "bigcup": 677, "lor": 678, "sup": 679, "supset": 680, "oint": 681, "bu": 682, "varpi": 683, "rfloor": 684, "li": 685, "notin": 686, "upsilon": 687, "lfloor": 688, "sqcup": 689, "Ġ\\#": 690, "vee": 691, "subseteq": 692, "boldmath": 693, "od": 694, "parrow": 695, "textstyle": 696, "pr": 697, "arrow": 698, "ddots": 699, "colon": 700, "uparrow": 701, "bigoplus": 702, "llet": 703, "bullet": 704, "lim": 705, "nt": 706, "opto": 707, "propto": 708, "overrightarrow": 709, "slant": 710, "overbrace": 711, "it": 712, "Righ": 713, "Rightarrow": 714, "ow": 715, "own": 716, "il": 717, "bot": 718, "slash": 719, "underset": 720, "down": 721, "imath": 722, "sqcap": 723, "Re": 724, "varsigma": 725, "arp": 726, "cong": 727, "eil": 728, "downarrow": 729, "lef": 730, "overset": 731, "circle": 732, "det": 733, "leftarrow": 734, "ss": 735, "emp": 736, "ty": 737, "empty": 738, "emptyset": 739, "no": 740, "scriptstyle": 741, "circled": 742, "ara": 743, "para": 744, "llel": 745, "parallel": 746, "textcircled": 747, "bre": 748, "Ġ--": 749, "Im": 750, "leqslant": 751, "breve": 752, "ack": 753, "back": 754, "varPhi": 755, "backslash": 756, "gg": 757, "textup": 758, "less": 759, "box": 760, "ne": 761, "varDelta": 762, "sharp": 763, "varGamma": 764, "ze": 765, "lesssim": 766, "size": 767, "mal": 768, "nto": 769, "phanto": 770, "phantom": 771, "varTheta": 772, "ut": 773, "varPsi": 774, "nor": 775, "normal": 776, "varUpsilon": 777, "varOmega": 778, "mbe": 779, "numbe": 780, "number": 781, "nonumber": 782, "atop": 783, "bigcap": 784, "mod": 785, "wp": 786, "tt": 787, "varLambda": 788, "xist": 789, "xists": 790, "ct": 791, "exists": 792, "varXi": 793, "Lo": 794, "varSigma": 795, "textnormal": 796, "pmod": 797, "Long": 798, "varPi": 799, "ect": 800, "jmath": 801, "rvert": 802, "lvert": 803, "ing": 804, "rbrace": 805, "Biggr": 806, "sma": 807, "Biggl": 808, "ject": 809, "bject": 810, "acut": 811, "acute": 812, "scriptsize": 813, "rceil": 814, "small": 815, "lbrack": 816, "ceil": 817, "lceil": 818, "tin": 819, "tiny": 820, "scriptscriptstyle": 821, "odot": 822, "iint": 823, "Le": 824, "cot": 825, "Left": 826, "Leftrightarrow": 827, "arc": 828, "mathr": 829, "cfrac": 830, "ref": 831, "mathring": 832, "ker": 833, "pre": 834, "en": 835, "mathit": 836, "bmod": 837, "ond": 838, "overleftarrow": 839, "hline": 840, "Longrightarrow": 841, "pmb": 842, "amond": 843, "kern": 844, "sk": 845, "geqslant": 846, "diamond": 847, "ip": 848, "skip": 849, "arctan": 850, "xrightarrow": 851, "mathtt": 852, "lbrace": 853, "eqq": 854, "lar": 855, "prec": 856, "coloneqq": 857, "lVert": 858, "fla": 859, "flat": 860, "rVert": 861, "arpo": 862, "bigwedge": 863, "dotsc": 864, "gra": 865, "grave": 866, "object": 867, "land": 868, "ĠObject": 869, "eph": 870, "aleph": 871, "underrightarrow": 872, "overleftrightarrow": 873, "Longleftrightarrow": 874, "rbrack": 875, "arpoo": 876, "tanh": 877, "underleftarrow": 878, "tit": 879, "textit": 880, "enspace": 881, "Bo": 882, "underleftrightarrow": 883, "Box": 884, "ni": 885, "squ": 886, "triangleq": 887, "mathop": 888, "ff": 889, "iff": 890, "bigtriangle": 891, "mit": 892, "bigotimes": 893, "neg": 894, "eqref": 895, "are": 896, "square": 897, "coth": 898, "\\,": 899, "dash": 900, "boxtimes": 901, "hdots": 902, "tharpoo": 903, "underbar": 904, "dim": 905, "textsf": 906, "cc": 907, "varkappa": 908, "ere": 909, "there": 910, "fore": 911, "therefore": 912, "imp": 913, "impli": 914, "es": 915, "implies": 916, "Ġ\\%": 917, "sb": 918, "longleftrightarrow": 919, "succ": 920, "fbox": 921, "otnot": 922, "footnot": 923, "footnote": 924, "ominus": 925, "bigtriangleup": 926, "doteq": 927, "em": 928, "Ġ\\_": 929, "vphantom": 930, "jlim": 931, "ok": 932, "hook": 933, "hd": 934, "longmapsto": 935, "cro": 936, "omi": 937, "cron": 938, "omicron": 939, "bigsqcup": 940, "Ġ?": 941, "nup": 942, "tharpoonup": 943, "texttt": 944, "footnotesize": 945, "vdash": 946, "hookrightarrow": 947, "textsc": 948, "\\#": 949, "rightharpoonup": 950, "bigvee": 951, "large": 952, "tabu": 953, "tabular": 954, "lap": 955, "supseteq": 956, "emph": 957, "Ti": 958, "Tilde": 959, "Ġ\"": 960, "thing": 961, "varno": 962, "varnothing": 963, "sec": 964, "rtimes": 965, "Ġ`": 966, "ral": 967, "triangleright": 968, "\\;": 969, "min": 970, "dotsb": 971, "searrow": 972, "mkern": 973, "plus": 974, "med": 975, "boxplus": 976, "ãĢ": 977, "Lar": 978, "Large": 979, "tu": 980, "rai": 981, "natu": 982, "arcsin": 983, "natural": 984, "raise": 985, "nmid": 986, "rhd": 987, "\\:": 988, "triangleleft": 989, "medskip": 990, "csc": 991, "dle": 992, "middle": 993, "ãĢģ": 994, "hf": 995, "enskip": 996, "deg": 997, "cdotp": 998, "ts": 999, "gets": 1000, "boxed": 1001, "preceq": 1002, "asym": 1003, "asymp": 1004, "on": 1005, "arg": 1006, "AA": 1007, "ner": 1008, "Ġ\\&": 1009, "inter": 1010, "intercal": 1011, "cop": 1012, "projlim": 1013, "ou": 1014, "ĠãĢģ": 1015, "subsetneq": 1016, "rod": 1017, "coprod": 1018, "pou": 1019, "smi": 1020, "varprojlim": 1021, "nds": 1022, "pounds": 1023, "smile": 1024, "drel": 1025, "buil": 1026, "buildrel": 1027, "nearrow": 1028, "smallsetminus": 1029, "Ġ\\/": 1030, "injlim": 1031, "succeq": 1032, "low": 1033, "ill": 1034, "put": 1035, "otect": 1036, "protect": 1037, "varinjlim": 1038, "prescript": 1039, "rut": 1040, "strut": 1041, "lnot": 1042, "iiint": 1043, "nfrac": 1044, "rlap": 1045, "ver": 1046, "genfrac": 1047, "\\!": 1048, "intop": 1049, "suit": 1050, "gt": 1051, "sl": 1052, "hfill": 1053, "mathver": 1054, "sion": 1055, "dotsm": 1056, "mathversion": 1057, "ddagger": 1058, "gtr": 1059, "max": 1060, "ke": 1061, "make": 1062, "makebox": 1063, "pe": 1064, "use": 1065, "beca": 1066, "because": 1067, "Bar": 1068, "ak": 1069, "noalign": 1070, "break": 1071, "leng": 1072, "length": 1073, "tch": 1074, "ule": 1075, "bigtriangledown": 1076, "frow": 1077, "lhd": 1078, "frown": 1079, "ipsi": 1080, "vspace": 1081, "mathell": 1082, "rcor": 1083, "real": 1084, "ipsis": 1085, "mathellipsis": 1086, "rcorner": 1087, "mo": 1088, "Ġâ": 1089, "null": 1090, "mode": 1091, "ĠâĢ": 1092, "ls": 1093, "lrcorner": 1094, "mspace": 1095, "gtrsim": 1096, "models": 1097, "smallskip": 1098, "vline": 1099, "Ġ\\*": 1100, "col": 1101, "Bbb": 1102, "arpoon": 1103, "Bbbk": 1104, "allow": 1105, "rule": 1106, "uph": 1107, "upharpoon": 1108, "hslash": 1109, "llap": 1110, "ĠâĢIJ": 1111, "upharpoonright": 1112, "deset": 1113, "sideset": 1114, "allowbreak": 1115, "ltimes": 1116, "labe": 1117, "bigm": 1118, "raisebox": 1119, "label": 1120, "arrayst": 1121, "retch": 1122, "arraystretch": 1123, "bigstar": 1124, "sep": 1125, "smash": 1126, "diamondsuit": 1127, "sha": 1128, "shape": 1129, "colsep": 1130, "ns": 1131, "tharpoons": 1132, "Ġ\\-": 1133, "new": 1134, "ce": 1135, "normalsize": 1136, "arraycolsep": 1137, "thin": 1138, "rightlef": 1139, "rightleftharpoons": 1140, "SS": 1141, "he": 1142, "dast": 1143, "setlength": 1144, "circledast": 1145, "cent": 1146, "ure": 1147, "pict": 1148, "picture": 1149, "thinspace": 1150, "ddag": 1151, "hphantom": 1152, "mma": 1153, "rd": 1154, "surd": 1155, "comma": 1156, "command": 1157, "uplus": 1158, "newcommand": 1159, "renewcommand": 1160, "Vec": 1161, "limit": 1162, "Ġ---": 1163, "Vdash": 1164, "eth": 1165, "longleftarrow": 1166, "cu": 1167, "leqq": 1168, "cur": 1169, "oslash": 1170, "sure": 1171, "mathc": 1172, "bigcirc": 1173, "ensure": 1174, "ensuremath": 1175, "xleftarrow": 1176, "varlim": 1177, "inte": 1178, "triangledown": 1179, "rner": 1180, "sho": 1181, "mathor": 1182, "corner": 1183, "short": 1184, "mathord": 1185, "Ġcm": 1186, "rtex": 1187, "intertex": 1188, "intertext": 1189, "hfil": 1190, "an": 1191, "bigskip": 1192, "wr": 1193, "vartriangle": 1194, "warrow": 1195, "updownarrow": 1196, "ae": 1197, "mathrel": 1198, "endaligned": 1199 }, "merges": [ "Ġ }", "Ġ {", "Ġ \\", "Ġ _", "Ġ ^", "Ġ )", "Ġ (", "Ġ 1", "Ġ 2", "Ġ =", "Ġ ,", "Ġ -", "r a", "Ġ +", "m a", "ra c", "f rac", "t a", "Ġ 0", "i g", "Ġ i", "Ġ x", "a l", "Ġ n", "l e", "a r", "m e", "t h", "i n", "Ġ .", "f t", "p h", "Ġ t", "Ġ k", "ma th", "Ġ d", "ig h", "r igh", "a m", "Ġ a", "t i", "e ta", "le ft", "righ t", "Ġ m", "Ġ j", "Ġ\\ ,", "Ġ p", "d e", "Ġ s", "Ġ r", "Ġ 3", "Ġ e", "s i", "Ġ |", "r i", "m u", "Ġ c", "Ġ &", "ph a", "al pha", "d a", "Ġ l", "o t", "d ot", "b da", "am bda", "Ġ u", "Ġ f", "Ġ g", "Ġ A", "Ġ z", "Ġ 4", "p si", "p ri", "pri me", "Ġ\\ \\", "Ġ y", "p ar", "ti al", "par tial", "t o", "ph i", "r m", "Ġ b", "math rm", "n a", "l ta", "Ġ q", "s u", "am ma", "l ambda", "c al", "Ġ N", "Ġ ~", "p i", "su m", "o p", "Ġ T", "n u", "Ġ ]", "l o", "v ar", "op e", "to r", "ra tor", "ope rator", "na me", "operator name", "in t", "ig ma", "Ġ v", "g a", "me ga", "Ġ B", "Ġ R", "b eta", "r t", "Ġ h", "Ġ L", "v e", "Ġ [", "Ġ /", "lo n", "b f", "Ġ M", "th eta", "de lta", "Ġ D", "Ġ X", "n g", "Ġ\\ ;", "psi lon", "b ar", "s igma", "g amma", "ng le", "Ġ C", "Ġ F", "Ġ S", "l de", "ti lde", "c dot", "e psilon", "Ġ H", "s q", "Ġ P", "h i", "h o", "r ho", "ra y", "ar ray", "l a", "h a", "ha t", "b e", "n d", "sq rt", "Ġ o", "e nd", "g in", "be gin", "q u", "ta u", "in ft", "inft y", "Ġ E", "x i", "Ġ V", "Ġ I", "Ġ 5", "o mega", "Ġ G", "Ġ *", "Ġ w", "math cal", "b ig", "r o", "g e", "Ġ :", "me s", "ti mes", "le q", "a d", "Ġ Q", "qu ad", "Ġ K", "math bf", "dot s", "Ġ 6", "D e", "De lta", "a p", "var phi", "Ġ\\ }", "l l", "Ġ J", "Ġ U", "G amma", "ra ngle", "P hi", "l in", "lin e", "t ri", "r line", "Ġ\\ {", "Ġ ;", "Ġ W", "O mega", "Ġ Z", "ma tri", "matri x", "o ve", "Ġ 8", "Ġ\\ |", "ap p", "\\ {", "s e", "e ll", "ve c", "B ig", "L ambda", "p m", "b b", "math bb", "c hi", "Ġ <", "Ġ Y", "b la", "na bla", "la ngle", "ta r", "ove rline", "var epsilon", "Ġ O", "ro w", "Ġ >", "w i", "wi de", "e d", "app a", "k appa", "cdot s", "tar row", "l dots", "P si", "z eta", "Ġ\\ !", "ge q", "Ġ 7", "e x", "righ tarrow", "i v", "o times", "b o", "Ġ 9", "bo l", "s t", "q quad", "p ro", "r c", "pro d", "e qu", "equ iv", "se t", "c i", "ci rc", "ve rt", "wide tilde", "c a", "se s", "ca ses", "S igma", "Ġ !", "da g", "c o", "t ex", "w ed", "wed ge", "\\ }", "big g", "tex t", "u n", "s in", "un de", "si m", "ge r", "dag ger", "e q", "ig n", "al ign", "align ed", "u s", "P i", "co s", "u p", "wide hat", "c ap", "m i", "a st", "T h", "Th eta", "Ġ\\ :", "bol d", "c k", "n eq", "mi d", "su b", "c up", "o m", "b rac", "b in", "bin om", "f ra", "math fra", "mathfra k", "l n", "l us", "s y", "sy m", "h bar", "sym bol", "bold symbol", "op lus", "s p", "a ngle", "unde rline", "ex p", "f o", "ro x", "app rox", "r e", "ra ll", "fo rall", "sub set", "\\ |", "e r", "y le", "st yle", "brac e", "V e", "s ta", "sta ck", "Ve rt", "s tar", "p er", "per p", "i o", "io ta", "unde r", "ove r", "var theta", "o r", "big l", "big r", "text rm", "d i", "n ot", "s f", "m p", "a c", "X i", "lo g", "Big r", "re l", "me q", "si meq", "Big l", "stack rel", "f lo", "flo or", "la y", "sp lay", "di splay", "display style", "sp ac", "spac e", "Big g", "in us", "var rho", "v dots", "lon g", "Ġ '", "m inus", "text bf", "set minus", "bigg r", "bigg l", "d iv", "math sf", "U psilon", "s c", "s la", "h space", "l le", "s h", "ta n", "long rightarrow", "tri angle", "p t", "ri pt", "sc ript", "d dot", "under brace", "sin h", "brac k", "s to", "p sto", "ma psto", "c h", "to p", "sub stack", "left rightarrow", "e ck", "ch eck", "cos h", "big cup", "lo r", "su p", "sup set", "o int", "b u", "var pi", "r floor", "l i", "not in", "u psilon", "l floor", "sq cup", "Ġ\\ #", "ve e", "subset eq", "bold math", "o d", "par row", "text style", "p r", "ar row", "d dots", "co lon", "u parrow", "big oplus", "lle t", "bu llet", "li m", "n t", "op to", "pr opto", "over rightarrow", "sla nt", "over brace", "i t", "R igh", "Righ tarrow", "o w", "ow n", "i l", "b ot", "sla sh", "under set", "d own", "i math", "sq cap", "R e", "var sigma", "ar p", "co ng", "e il", "down arrow", "le f", "over set", "circ le", "de t", "lef tarrow", "s s", "e mp", "t y", "emp ty", "empty set", "n o", "script style", "circle d", "a ra", "p ara", "lle l", "para llel", "text circled", "b re", "Ġ- -", "I m", "leq slant", "bre ve", "a ck", "b ack", "var Phi", "back slash", "g g", "text up", "le ss", "bo x", "n e", "var Delta", "sh arp", "var Gamma", "z e", "less sim", "si ze", "ma l", "n to", "pha nto", "phanto m", "var Theta", "u t", "var Psi", "n or", "nor mal", "var Upsilon", "var Omega", "m be", "nu mbe", "numbe r", "no number", "a top", "big cap", "m od", "w p", "t t", "var Lambda", "xi st", "xist s", "c t", "e xists", "var Xi", "L o", "var Sigma", "text normal", "pm od", "Lo ng", "var Pi", "e ct", "j math", "r vert", "l vert", "in g", "r brace", "Bigg r", "s ma", "Bigg l", "j ect", "b ject", "ac ut", "acut e", "script size", "rc eil", "sma ll", "l brack", "c eil", "l ceil", "t in", "tin y", "script scriptstyle", "o dot", "i int", "L e", "c ot", "Le ft", "Left rightarrow", "ar c", "math r", "c frac", "re f", "mathr ing", "k er", "p re", "e n", "math it", "b mod", "o nd", "over leftarrow", "h line", "Long rightarrow", "pm b", "am ond", "ker n", "s k", "geq slant", "di amond", "i p", "sk ip", "arc tan", "x rightarrow", "math tt", "l brace", "eq q", "l ar", "pre c", "colon eqq", "l Vert", "f la", "fla t", "r Vert", "arp o", "big wedge", "dots c", "g ra", "gra ve", "o bject", "la nd", "ĠO bject", "e ph", "al eph", "under rightarrow", "over leftrightarrow", "Long leftrightarrow", "r brack", "arpo o", "tan h", "under leftarrow", "ti t", "tex tit", "en space", "B o", "under leftrightarrow", "Bo x", "n i", "sq u", "triangle q", "math op", "f f", "i ff", "big triangle", "mi t", "big otimes", "ne g", "eq ref", "ar e", "squ are", "co th", "\\ ,", "da sh", "box times", "h dots", "th arpoo", "under bar", "di m", "text sf", "c c", "var kappa", "e re", "th ere", "fo re", "there fore", "i mp", "imp li", "e s", "impli es", "Ġ\\ %", "s b", "long leftrightarrow", "su cc", "f box", "ot not", "fo otnot", "footnot e", "om inus", "bigtriangle up", "dot eq", "e m", "Ġ\\ _", "v phantom", "j lim", "o k", "ho ok", "h d", "long mapsto", "c ro", "o mi", "cro n", "omi cron", "big sqcup", "Ġ ?", "nu p", "tharpoo nup", "text tt", "footnote size", "v dash", "hook rightarrow", "text sc", "\\ #", "righ tharpoonup", "big vee", "lar ge", "ta bu", "tabu lar", "la p", "supset eq", "em ph", "T i", "Ti lde", "Ġ \"", "th ing", "var no", "varno thing", "se c", "r times", "Ġ `", "ra l", "triangle right", "\\ ;", "m in", "dots b", "se arrow", "m kern", "p lus", "me d", "box plus", "ã Ģ", "L ar", "Lar ge", "t u", "ra i", "na tu", "arc sin", "natu ral", "rai se", "n mid", "r hd", "\\ :", "triangle left", "med skip", "c sc", "d le", "mid dle", "ãĢ ģ", "h f", "en skip", "de g", "cdot p", "t s", "ge ts", "box ed", "prec eq", "a sym", "asym p", "o n", "ar g", "A A", "n er", "Ġ\\ &", "int er", "inter cal", "c op", "pro jlim", "o u", "Ġ ãĢģ", "subset neq", "ro d", "cop rod", "p ou", "s mi", "var projlim", "nd s", "pou nds", "smi le", "d rel", "bu il", "buil drel", "ne arrow", "small setminus", "Ġ\\ /", "in jlim", "succ eq", "lo w", "i ll", "p ut", "ot ect", "pr otect", "var injlim", "pre script", "r ut", "st rut", "ln ot", "i iint", "n frac", "r lap", "ve r", "ge nfrac", "\\ !", "in top", "su it", "g t", "s l", "hf ill", "math ver", "si on", "dots m", "mathver sion", "d dagger", "gt r", "ma x", "k e", "ma ke", "make box", "p e", "u se", "be ca", "beca use", "B ar", "a k", "no align", "bre ak", "le ng", "leng th", "t ch", "u le", "bigtriangle down", "f row", "l hd", "frow n", "i psi", "v space", "math ell", "rc or", "re al", "ipsi s", "mathell ipsis", "rcor ner", "m o", "Ġ â", "nu ll", "mo de", "Ġâ Ģ", "l s", "l rcorner", "m space", "gtr sim", "mode ls", "small skip", "v line", "Ġ\\ *", "co l", "B bb", "arpoo n", "Bbb k", "al low", "r ule", "u ph", "uph arpoon", "h slash", "l lap", "ĠâĢ IJ", "upharpoon right", "de set", "si deset", "allow break", "l times", "la be", "big m", "raise box", "labe l", "array st", "re tch", "arrayst retch", "big star", "se p", "sma sh", "diamond suit", "s ha", "sha pe", "col sep", "n s", "tharpoo ns", "Ġ\\ -", "ne w", "c e", "normal size", "array colsep", "th in", "right lef", "rightlef tharpoons", "S S", "h e", "da st", "set length", "circle dast", "ce nt", "u re", "pi ct", "pict ure", "thin space", "d dag", "h phantom", "m ma", "r d", "su rd", "co mma", "comma nd", "up lus", "new command", "re newcommand", "Ve c", "li mit", "Ġ-- -", "V dash", "e th", "long leftarrow", "c u", "leq q", "cu r", "o slash", "su re", "math c", "big circ", "en sure", "ensure math", "x leftarrow", "var lim", "int e", "triangle down", "r ner", "s ho", "math or", "co rner", "sho rt", "mathor d", "Ġc m", "rt ex", "inte rtex", "intertex t", "hf il", "a n", "big skip", "w r", "var triangle", "w arrow", "up downarrow", "a e", "math rel", "end aligned" ] } }