|
{ |
|
"\n": 57525, |
|
"!}": 58155, |
|
"##": 57681, |
|
"###": 57880, |
|
"####": 58227, |
|
"$$": 57531, |
|
"&-": 58121, |
|
"&0&": 58122, |
|
"&0\\\\": 58307, |
|
"&1": 57989, |
|
"&=&": 58476, |
|
"'s": 57959, |
|
"($": 58254, |
|
"(-": 57821, |
|
"(0)": 58157, |
|
"(0,": 58408, |
|
"(1+": 58036, |
|
"(1-": 57892, |
|
"(4": 58052, |
|
"(5": 58201, |
|
"(A": 57960, |
|
"(B": 58334, |
|
"(C": 58421, |
|
"(E": 58358, |
|
"(N": 58510, |
|
"(R": 58505, |
|
"(S": 58482, |
|
"(T": 58242, |
|
"(X": 58111, |
|
"(\\alpha": 58295, |
|
"(\\frac{": 57704, |
|
"(\\lambda": 58470, |
|
"(\\omega": 58218, |
|
"(\\theta": 58118, |
|
"(\\theta)": 58404, |
|
"(a": 57765, |
|
"(a)": 58193, |
|
"(b": 58062, |
|
"(b)": 58406, |
|
"(c": 58101, |
|
"(d": 58222, |
|
"(f": 58146, |
|
"(g": 58296, |
|
"(i": 57927, |
|
"(k": 57967, |
|
"(k)": 58412, |
|
"(m": 58180, |
|
"(n": 57843, |
|
"(n)": 58367, |
|
"(p": 58082, |
|
"(q": 58491, |
|
"(r": 58050, |
|
"(s": 57872, |
|
"(s)": 58171, |
|
"(t": 57659, |
|
"(t)": 57723, |
|
"(t)=": 58200, |
|
"(u": 58156, |
|
"(v": 58380, |
|
"(w": 58480, |
|
"(x": 57580, |
|
"(x)": 57670, |
|
"(x)=": 58017, |
|
"(x+": 58210, |
|
"(x,": 57955, |
|
"(x,y)": 58460, |
|
"(x-": 58127, |
|
"(y": 57996, |
|
"(y)": 58447, |
|
"(z": 57978, |
|
"(z)": 58239, |
|
"({\\bf": 58297, |
|
"))": 57835, |
|
")+": 57698, |
|
")-": 57786, |
|
")=": 57574, |
|
")=0": 58172, |
|
")=\\frac{": 57903, |
|
")\\": 57558, |
|
")\\,": 57945, |
|
")\\cdot": 58274, |
|
")]": 58141, |
|
")^2": 57972, |
|
")^2}": 58448, |
|
")^{": 57666, |
|
")^{2}": 57874, |
|
")^{2}}": 58346, |
|
")}": 57566, |
|
")}{": 57719, |
|
"+1)": 57962, |
|
"+1}": 57823, |
|
"+4": 58152, |
|
"+5": 58468, |
|
"+C": 58387, |
|
"+\\beta": 58497, |
|
"+\\frac{": 57699, |
|
"+\\frac{1}{": 58001, |
|
"+\\left(": 58504, |
|
"+\\sqrt{": 58492, |
|
"+a": 58205, |
|
"+b": 58091, |
|
"+c": 58221, |
|
"+i": 58350, |
|
"+x": 58102, |
|
"+{": 58012, |
|
",\\": 57551, |
|
",\\,": 57752, |
|
",\\ldots,": 58235, |
|
",\\quad": 58130, |
|
",t)": 58220, |
|
"-1)": 57884, |
|
"-1}": 57664, |
|
"-1}{": 58442, |
|
"-2}": 58213, |
|
"-\\frac{": 57687, |
|
"-\\frac{1}{": 57997, |
|
"-\\infty": 58370, |
|
"-a": 58051, |
|
"-b": 58249, |
|
"-c": 58206, |
|
"-d": 58354, |
|
"-f": 58310, |
|
"-i": 58073, |
|
"-k": 58294, |
|
"-m": 58317, |
|
"-n": 58383, |
|
"-p": 58232, |
|
"-r": 58386, |
|
"-t": 58136, |
|
"-x": 57883, |
|
"-y": 58219, |
|
"-{": 58014, |
|
"/2}": 58110, |
|
"0&": 57816, |
|
"0&0&": 58418, |
|
"0,": 57716, |
|
"0.0": 58006, |
|
"0.1": 57941, |
|
"0.2": 58247, |
|
"0\\\\": 58060, |
|
"0}": 57564, |
|
"1": 57526, |
|
"1&": 57933, |
|
"1+": 57718, |
|
"1,": 57726, |
|
"1,2": 58467, |
|
"1-\\frac{": 58450, |
|
"1/2": 58166, |
|
"10^{": 58007, |
|
"10^{-": 58244, |
|
"10}": 58015, |
|
"11}": 58196, |
|
"12}": 58043, |
|
"13}": 58458, |
|
"15}": 58446, |
|
"16}": 58443, |
|
"1\\\\": 58237, |
|
"1}": 57540, |
|
"2&": 58289, |
|
"2,": 57894, |
|
"20}": 58414, |
|
"2\\pi": 57915, |
|
"2x": 57881, |
|
"2}": 57539, |
|
"2}}": 57595, |
|
"3,": 58149, |
|
"3x": 58191, |
|
"3}": 57578, |
|
"4\\pi": 58364, |
|
"4x": 58420, |
|
"4}": 57639, |
|
"5}": 57679, |
|
"6}": 57730, |
|
"7}": 57847, |
|
"8}": 57838, |
|
"9)": 58444, |
|
"9}": 57893, |
|
":=": 58276, |
|
"<s_iitcdip>": 57523, |
|
"<s_synthdog>": 57524, |
|
"<sep/>": 57522, |
|
"=(": 57867, |
|
"=-": 57709, |
|
"=-\\frac{": 58181, |
|
"=0": 57661, |
|
"=0,": 58279, |
|
"=0.": 58076, |
|
"=0}^": 58202, |
|
"=0}^{": 58298, |
|
"=1}^": 57831, |
|
"=1}^{": 57877, |
|
"=4": 58211, |
|
"=A": 58502, |
|
"=\\dfrac{": 58290, |
|
"=\\frac{": 57575, |
|
"=\\frac{1}{": 57797, |
|
"=\\frac{1}{2": 58147, |
|
"=\\frac{1}{2}": 58269, |
|
"=\\frac{2": 58215, |
|
"=\\int": 57990, |
|
"=\\int_{": 58348, |
|
"=\\left(": 58113, |
|
"=\\left[": 58501, |
|
"=\\sqrt{": 58085, |
|
"=\\sum": 57963, |
|
"=\\sum_{": 58025, |
|
"=a": 58245, |
|
"=x": 58173, |
|
"={": 57888, |
|
">0": 58381, |
|
"A_{": 57929, |
|
"A}": 57776, |
|
"B}": 57825, |
|
"C_{": 57954, |
|
"Cl": 58411, |
|
"C}": 57856, |
|
"D}": 58002, |
|
"E_{": 57973, |
|
"E}": 57896, |
|
"F_{": 58047, |
|
"F}": 57948, |
|
"Gamma": 58005, |
|
"G}": 58278, |
|
"H_{": 58107, |
|
"H}": 57895, |
|
"I_{": 58089, |
|
"I}": 58041, |
|
"J}": 58456, |
|
"K_{": 58208, |
|
"K}": 58179, |
|
"L}": 57866, |
|
"M_{": 58153, |
|
"M}": 57992, |
|
"Now": 58291, |
|
"N}": 57865, |
|
"O}": 58112, |
|
"P_{": 57928, |
|
"P}": 57912, |
|
"Q_{": 58344, |
|
"Q}": 58253, |
|
"R_{": 57969, |
|
"R}": 57783, |
|
"S_{": 58059, |
|
"S}": 57958, |
|
"T_{": 57922, |
|
"Then": 58270, |
|
"T}": 57762, |
|
"U}": 58449, |
|
"V_{": 57911, |
|
"V}": 57957, |
|
"W}": 58403, |
|
"X_{": 58075, |
|
"X}": 58055, |
|
"Y}": 58432, |
|
"Z}": 58248, |
|
"[1": 58243, |
|
"\\!": 57771, |
|
"\\,": 57549, |
|
"\\,,": 58252, |
|
"\\,.": 58302, |
|
"\\,\\,": 58013, |
|
"\\,\\,\\,": 58489, |
|
"\\,\\frac{": 58168, |
|
"\\,d": 57975, |
|
"\\:": 57932, |
|
"\\;": 57655, |
|
"\\;\\;": 58306, |
|
"\\Big": 57857, |
|
"\\Bigg": 58178, |
|
"\\Delta": 57732, |
|
"\\Gamma": 58020, |
|
"\\Lambda": 58192, |
|
"\\Omega": 58030, |
|
"\\Phi": 58120, |
|
"\\Psi": 58287, |
|
"\\Rightarrow": 58088, |
|
"\\Sigma": 58374, |
|
"\\\\": 57582, |
|
"\\alpha": 57631, |
|
"\\alpha}": 57905, |
|
"\\approx": 58263, |
|
"\\bar": 57839, |
|
"\\bar{": 57854, |
|
"\\begin{": 57665, |
|
"\\begin{array}{": 57755, |
|
"\\begin{array}{c": 57914, |
|
"\\begin{array}{cc": 58258, |
|
"\\begin{array}{c}": 58167, |
|
"\\begin{array}{l": 58109, |
|
"\\begin{array}{l}": 58303, |
|
"\\begin{bmatrix}": 58312, |
|
"\\beta": 57697, |
|
"\\beta}": 58105, |
|
"\\bf": 57736, |
|
"\\big": 57720, |
|
"\\bigg": 58103, |
|
"\\big{(}": 58373, |
|
"\\big{)}": 58369, |
|
"\\bold": 58115, |
|
"\\boldsymbol": 58162, |
|
"\\boldsymbol{": 58189, |
|
"\\cdot": 57599, |
|
"\\cdot\\": 57759, |
|
"\\cdots": 58064, |
|
"\\chi": 58163, |
|
"\\circ": 57942, |
|
"\\cos": 57680, |
|
"\\cos(": 58161, |
|
"\\cos\\theta": 58422, |
|
"\\delta": 57779, |
|
"\\delta_{": 58327, |
|
"\\dfrac": 57827, |
|
"\\dfrac{": 57837, |
|
"\\dot": 57819, |
|
"\\dot{": 57891, |
|
"\\ell": 58214, |
|
"\\end{array}": 57760, |
|
"\\end{bmatrix}": 58316, |
|
"\\epsilon": 57900, |
|
"\\equiv": 58216, |
|
"\\eta": 57988, |
|
"\\exp": 58198, |
|
"\\forall": 58437, |
|
"\\frac": 57536, |
|
"\\frac{": 57537, |
|
"\\frac{1}{": 57586, |
|
"\\frac{1}{2": 57725, |
|
"\\frac{1}{2}": 57781, |
|
"\\frac{1}{3}": 58429, |
|
"\\frac{1}{4}": 58486, |
|
"\\frac{1}{\\sqrt{": 58485, |
|
"\\frac{2": 57772, |
|
"\\frac{2}{": 58108, |
|
"\\frac{3}{": 58132, |
|
"\\frac{4}{": 58493, |
|
"\\frac{\\partial": 57789, |
|
"\\frac{\\pi": 58083, |
|
"\\frac{\\pi}{": 58175, |
|
"\\frac{\\sqrt{": 58452, |
|
"\\frac{d": 57794, |
|
"\\frac{n": 58336, |
|
"\\frac{x": 57995, |
|
"\\frac{x}{": 58477, |
|
"\\frac{{": 57986, |
|
"\\gamma": 57803, |
|
"\\gamma}": 58471, |
|
"\\geq": 58023, |
|
"\\hat": 57722, |
|
"\\hat{": 57739, |
|
"\\hbar": 58284, |
|
"\\hspace{": 58135, |
|
"\\hspace{0.17em}}": 58230, |
|
"\\in": 57569, |
|
"\\infty": 57702, |
|
"\\infty}": 57774, |
|
"\\int": 57648, |
|
"\\int\\limits": 58363, |
|
"\\int\\limits_{": 58426, |
|
"\\int_{": 57806, |
|
"\\int_{0}^{": 58195, |
|
"\\kappa": 58212, |
|
"\\lambda": 57689, |
|
"\\lambda}": 58160, |
|
"\\langle": 57965, |
|
"\\large": 58356, |
|
"\\ldots": 57956, |
|
"\\left": 57548, |
|
"\\left(": 57561, |
|
"\\left(\\begin{": 58288, |
|
"\\left(\\frac{": 57785, |
|
"\\left(x": 58016, |
|
"\\left(x\\right)": 58351, |
|
"\\left({": 57947, |
|
"\\left[": 57768, |
|
"\\left[\\begin{": 58293, |
|
"\\left\\{": 58067, |
|
"\\left|": 58072, |
|
"\\leq": 57770, |
|
"\\lim": 57812, |
|
"\\limits_{": 58096, |
|
"\\ln": 57936, |
|
"\\log": 57976, |
|
"\\mathbb": 57798, |
|
"\\mathbb{": 57807, |
|
"\\mathbb{R}": 58174, |
|
"\\mathbf": 57622, |
|
"\\mathbf{": 57623, |
|
"\\mathbf{x}": 58225, |
|
"\\mathcal": 57822, |
|
"\\mathfrak{": 58503, |
|
"\\mathrm": 57604, |
|
"\\mathrm{": 57605, |
|
"\\mathrm{d}": 58154, |
|
"\\mbox{": 57809, |
|
"\\mid": 58393, |
|
"\\mu": 57658, |
|
"\\mu_{": 58124, |
|
"\\mu}": 57926, |
|
"\\nabla": 57974, |
|
"\\neq": 58355, |
|
"\\nu": 57829, |
|
"\\nu}": 58065, |
|
"\\omega": 57694, |
|
"\\omega_{": 58081, |
|
"\\omega}": 58463, |
|
"\\operatorname{": 58271, |
|
"\\otimes": 58362, |
|
"\\over": 57758, |
|
"\\overline{": 57885, |
|
"\\overrightarrow": 58490, |
|
"\\partial": 57618, |
|
"\\phi": 57729, |
|
"\\phi}": 58391, |
|
"\\pi": 57620, |
|
"\\pi}": 57784, |
|
"\\pm": 58070, |
|
"\\prime": 57663, |
|
"\\psi": 57849, |
|
"\\qquad": 58024, |
|
"\\quad": 57749, |
|
"\\rangle": 57826, |
|
"\\rangle=": 58506, |
|
"\\rho": 57747, |
|
"\\rho_{": 58240, |
|
"\\rho}": 58343, |
|
"\\right": 57546, |
|
"\\right)": 57562, |
|
"\\right)+": 58255, |
|
"\\right)=": 57897, |
|
"\\right)\\left(": 58499, |
|
"\\right)^{2}": 58338, |
|
"\\right)}": 57845, |
|
"\\right.": 58228, |
|
"\\right\\}": 58209, |
|
"\\right]": 57775, |
|
"\\rightarrow": 58229, |
|
"\\right|": 58117, |
|
"\\rm": 57601, |
|
"\\rm{": 58277, |
|
"\\sigma": 57713, |
|
"\\sigma_{": 58084, |
|
"\\sigma}": 58322, |
|
"\\sim": 58337, |
|
"\\sin": 57677, |
|
"\\sin(": 58159, |
|
"\\sin\\theta": 58481, |
|
"\\sqrt": 57600, |
|
"\\sqrt{": 57613, |
|
"\\sqrt{2": 57980, |
|
"\\sqrt{2}": 58139, |
|
"\\sqrt{3}": 58264, |
|
"\\sqrt{\\frac{": 58321, |
|
"\\sum": 57660, |
|
"\\sum_{": 57690, |
|
"\\sum_{i": 58037, |
|
"\\sum_{i=1}^{": 58335, |
|
"\\sum_{j": 58464, |
|
"\\sum_{k": 58326, |
|
"\\sum_{n": 58280, |
|
"\\tag{": 57628, |
|
"\\tag{1": 57873, |
|
"\\tag{3": 58165, |
|
"\\tag{5": 58320, |
|
"\\tag{7": 58509, |
|
"\\tan": 58035, |
|
"\\tau": 57814, |
|
"\\tau}": 58410, |
|
"\\text": 57583, |
|
"\\text{": 57592, |
|
"\\theta": 57635, |
|
"\\theta)": 58100, |
|
"\\theta}": 57949, |
|
"\\tilde": 58028, |
|
"\\tilde{": 58040, |
|
"\\times": 57644, |
|
"\\times10": 58106, |
|
"\\times10^{": 58236, |
|
"\\to": 57734, |
|
"\\to0": 58435, |
|
"\\to\\infty": 58469, |
|
"\\varepsilon": 57913, |
|
"\\varphi": 57909, |
|
"\\vec": 57714, |
|
"\\vec{": 57763, |
|
"\\wedge": 58300, |
|
"\\xi": 57934, |
|
"\\zeta": 58431, |
|
"\\{": 57746, |
|
"\\|": 57917, |
|
"\\}": 57787, |
|
"],": 58438, |
|
"]=": 58140, |
|
"]{": 58398, |
|
"]}": 58056, |
|
"^2": 57585, |
|
"^2)": 58433, |
|
"^2+": 57938, |
|
"^2-": 58183, |
|
"^2=": 58465, |
|
"^2}": 57744, |
|
"^2}{": 58169, |
|
"^3": 57982, |
|
"^4": 58359, |
|
"^n": 58184, |
|
"^{": 57533, |
|
"^{*}": 57946, |
|
"^{+}": 58261, |
|
"^{-": 57641, |
|
"^{-1}": 57851, |
|
"^{-}": 58366, |
|
"^{0}": 58329, |
|
"^{1/": 58424, |
|
"^{1}": 58260, |
|
"^{2": 57552, |
|
"^{2}": 57554, |
|
"^{2})": 58197, |
|
"^{2}+": 57840, |
|
"^{2}-": 58045, |
|
"^{2}=": 58207, |
|
"^{2}}": 57676, |
|
"^{2}}{": 57924, |
|
"^{2}}}": 58388, |
|
"^{3}": 57887, |
|
"^{3}}": 58441, |
|
"^{4}": 58143, |
|
"^{T}": 58241, |
|
"^{\\circ}": 58177, |
|
"^{\\infty}": 57981, |
|
"^{\\prime": 57684, |
|
"^{\\prime}": 57693, |
|
"^{\\prime})": 58473, |
|
"^{\\prime}}": 58142, |
|
"^{\\rm": 58459, |
|
"^{i": 57998, |
|
"^{i}": 58397, |
|
"^{k}": 58379, |
|
"^{n}": 57916, |
|
"^{{}": 58498, |
|
"_0": 57899, |
|
"_1": 57790, |
|
"_1}": 58434, |
|
"_2": 57800, |
|
"_2}": 58415, |
|
"_3": 58301, |
|
"___": 58342, |
|
"_i": 57953, |
|
"_n": 58131, |
|
"_{": 57528, |
|
"_{0": 57626, |
|
"_{0}": 57637, |
|
"_{0})": 58347, |
|
"_{0}}": 58099, |
|
"_{1": 57577, |
|
"_{1}": 57591, |
|
"_{1})": 58259, |
|
"_{1}+": 58176, |
|
"_{1},": 58134, |
|
"_{1}=": 58275, |
|
"_{1}}": 57951, |
|
"_{2": 57596, |
|
"_{2}": 57612, |
|
"_{2})": 58257, |
|
"_{2}+": 58479, |
|
"_{2}=": 58372, |
|
"_{2}}": 57999, |
|
"_{3": 57805, |
|
"_{3}": 57842, |
|
"_{4}": 58203, |
|
"_{A": 58182, |
|
"_{A}": 58428, |
|
"_{B}": 58472, |
|
"_{\\alpha": 58137, |
|
"_{\\alpha}": 58405, |
|
"_{\\mathrm{": 58104, |
|
"_{\\mu}": 58313, |
|
"_{\\rm": 57701, |
|
"_{\\text{": 58265, |
|
"_{a}": 58151, |
|
"_{c": 58078, |
|
"_{c}": 58262, |
|
"_{f}": 58451, |
|
"_{i": 57597, |
|
"_{i=1}": 58133, |
|
"_{ij}": 58341, |
|
"_{i}": 57656, |
|
"_{i})": 58440, |
|
"_{i}^{": 58292, |
|
"_{i}}": 58223, |
|
"_{j": 57741, |
|
"_{j}": 57858, |
|
"_{k": 57721, |
|
"_{k}": 57864, |
|
"_{m": 57921, |
|
"_{m}": 58150, |
|
"_{n": 57662, |
|
"_{n}": 57750, |
|
"_{p": 58018, |
|
"_{p}": 58188, |
|
"_{r": 58074, |
|
"_{r}": 58286, |
|
"_{s}": 58186, |
|
"_{t": 57848, |
|
"_{t}": 58010, |
|
"_{x": 57834, |
|
"_{x}": 58086, |
|
"_{y}": 58400, |
|
"_{{": 57833, |
|
"_{{}_{": 57939, |
|
"a)": 57668, |
|
"a^2": 58199, |
|
"a^{2}": 57970, |
|
"a_{1}": 57985, |
|
"a_{2}": 58138, |
|
"a_{n}": 58478, |
|
"about": 58508, |
|
"ack": 58022, |
|
"align": 58507, |
|
"alpha": 57629, |
|
"also": 58246, |
|
"arc": 58349, |
|
"array": 57642, |
|
"arrow": 57710, |
|
"ass": 57828, |
|
"ature": 58352, |
|
"a}": 57570, |
|
"because": 58484, |
|
"both": 58353, |
|
"b}": 57792, |
|
"cause": 58323, |
|
"change": 58360, |
|
"const": 58033, |
|
"cos(": 58026, |
|
"c}": 57654, |
|
"def": 57919, |
|
"defined": 58318, |
|
"diff": 58004, |
|
"dition": 58158, |
|
"does": 58474, |
|
"dx": 57743, |
|
"dx=": 58461, |
|
"d}": 57673, |
|
"e^{": 57705, |
|
"e^{-": 57920, |
|
"e^{i": 58457, |
|
"ecause": 58382, |
|
"ency": 58494, |
|
"energy": 58266, |
|
"eq": 57579, |
|
"ess": 57757, |
|
"ext": 57576, |
|
"e}": 57603, |
|
"f(": 57731, |
|
"f(x": 57930, |
|
"f(x)": 58058, |
|
"f_{": 57940, |
|
"ference": 58365, |
|
"frac": 57535, |
|
"from": 57841, |
|
"function": 57818, |
|
"f}": 57832, |
|
"g_{": 58063, |
|
"gamma": 57795, |
|
"g}": 57889, |
|
"hich": 57844, |
|
"h}": 57918, |
|
"ined": 57984, |
|
"i}": 57568, |
|
"j}": 57691, |
|
"k}": 57671, |
|
"lect": 58044, |
|
"left": 57547, |
|
"length": 58339, |
|
"linear": 58361, |
|
"llows": 58399, |
|
"ln": 57862, |
|
"ly,": 58256, |
|
"l}": 57686, |
|
"matrix": 57706, |
|
"metric": 58376, |
|
"m}": 57653, |
|
"n't": 58333, |
|
"n+1": 58061, |
|
"n+1}": 58314, |
|
"n-1": 58066, |
|
"n-1}": 58281, |
|
"number": 57882, |
|
"n}": 57584, |
|
"n}}": 57966, |
|
"ode": 57977, |
|
"ond": 57853, |
|
"only": 58231, |
|
"ook": 58304, |
|
"oot": 58427, |
|
"opt": 58454, |
|
"ould": 57925, |
|
"ound": 58029, |
|
"own": 58071, |
|
"p}": 57715, |
|
"q}": 57944, |
|
"r^{2}": 58496, |
|
"rightarrow": 57868, |
|
"r}": 57650, |
|
"s,": 57669, |
|
"s.": 57737, |
|
"s:": 57796, |
|
"should": 58419, |
|
"sin(": 58009, |
|
"spect": 58273, |
|
"sqrt": 57598, |
|
"square": 58390, |
|
"subset": 58495, |
|
"such": 58251, |
|
"sym": 57968, |
|
"s}": 57683, |
|
"s}}": 58170, |
|
"t)": 57550, |
|
"t+": 58190, |
|
"these": 58392, |
|
"total": 58416, |
|
"t}": 57616, |
|
"t}}": 58123, |
|
"unc": 57769, |
|
"using": 58119, |
|
"u}": 57667, |
|
"v_{": 57993, |
|
"value": 57861, |
|
"vector": 58049, |
|
"very": 58328, |
|
"v}": 57852, |
|
"which": 57860, |
|
"will": 58054, |
|
"w}": 58053, |
|
"x)": 57634, |
|
"x+": 57740, |
|
"x+1": 58371, |
|
"x,y": 58164, |
|
"x-": 57777, |
|
"x-1": 58430, |
|
"x^": 57645, |
|
"x^2": 57898, |
|
"x^2+": 58439, |
|
"x^2}": 58409, |
|
"x^{": 57735, |
|
"x^{2}": 58031, |
|
"x_{1}": 58145, |
|
"x_{2}": 58324, |
|
"x_{i}": 58423, |
|
"x}": 57560, |
|
"x}+": 58315, |
|
"x}{": 57901, |
|
"x}}": 57910, |
|
"your": 58396, |
|
"y}": 57572, |
|
"z}": 57863, |
|
"{0}": 57608, |
|
"{10}": 58125, |
|
"{1}": 57544, |
|
"{2}": 57541, |
|
"{3}": 57607, |
|
"{A}": 57878, |
|
"{\\": 57529, |
|
"{\\bf": 57753, |
|
"{\\cal": 58097, |
|
"{\\frac{": 57692, |
|
"{\\frac{1}{": 58116, |
|
"{\\left(": 57907, |
|
"{\\left({": 58331, |
|
"{\\mathrm{": 57761, |
|
"{\\rm": 57610, |
|
"{\\rm{": 58455, |
|
"{\\text{": 57846, |
|
"{\\theta}": 58224, |
|
"{a}": 57756, |
|
"{b}": 57904, |
|
"{d}": 57801, |
|
"{p}": 57871, |
|
"{t}": 57820, |
|
"{x}": 57640, |
|
"{y}": 57875, |
|
"{z}": 58038, |
|
"{{": 57588, |
|
"{{{": 57943, |
|
"{}": 57675, |
|
"|^{2}": 58395, |
|
"|}": 58094, |
|
"}&": 57724, |
|
"}&{": 57991, |
|
"}(": 57553, |
|
"})": 57557, |
|
"})=": 57870, |
|
"}+": 57556, |
|
"}+\\frac{": 57830, |
|
"}+\\frac{1}{": 58272, |
|
"}+{": 58144, |
|
"}-": 57590, |
|
"}-\\frac{": 58003, |
|
"}-{": 58330, |
|
"}=": 57543, |
|
"}=-": 57950, |
|
"}=0": 57937, |
|
"}=1": 58000, |
|
"}=2": 58238, |
|
"}=\\frac{": 57652, |
|
"}=\\frac{1}{": 58079, |
|
"}[": 58090, |
|
"}\\": 57530, |
|
"}\\,": 57651, |
|
"}\\;": 58114, |
|
"}\\\\": 57751, |
|
"}\\cdot": 57799, |
|
"}\\end{array}": 58046, |
|
"}\\frac{": 57700, |
|
"}\\int_{": 58378, |
|
"}\\left(": 57708, |
|
"}\\left[": 58234, |
|
"}\\quad": 58299, |
|
"}\\right)": 57611, |
|
"}\\right)=": 58217, |
|
"}\\right)^{": 58093, |
|
"}\\right)}": 58027, |
|
"}\\right]": 57906, |
|
"}\\right|": 58413, |
|
"}\\times": 57923, |
|
"}]": 58032, |
|
"}^{": 57545, |
|
"}^{-1}": 58377, |
|
"}^{2}": 57685, |
|
"}^{\\infty}": 58019, |
|
"}_{": 57555, |
|
"}_{2}": 57952, |
|
"}_{\\rm": 58187, |
|
"}dx": 58488, |
|
"}{": 57534, |
|
"}{1": 57711, |
|
"}{1+": 58375, |
|
"}{1-": 58462, |
|
"}{2": 57594, |
|
"}{2}": 57638, |
|
"}{3": 57791, |
|
"}{3}": 57879, |
|
"}{4": 57813, |
|
"}{4}": 57935, |
|
"}{5}": 58250, |
|
"}{6}": 58309, |
|
"}{R": 58345, |
|
"}{\\partial": 57778, |
|
"}{\\sqrt{": 57979, |
|
"}{c}": 58042, |
|
"}{d": 57808, |
|
"}{dt}": 58233, |
|
"}{dx}": 58417, |
|
"}{m": 58368, |
|
"}{n": 58039, |
|
"}{n}": 58384, |
|
"}{r": 58128, |
|
"}{x}": 58148, |
|
"}|": 57869, |
|
"}}&{{": 58226, |
|
"}}+": 57902, |
|
"}}=": 57703, |
|
"}}=\\frac{": 58080, |
|
"}}\\,": 58077, |
|
"}}\\\\": 58282, |
|
"}}\\right)": 57931, |
|
"}}{": 57573, |
|
"}}{{": 57971, |
|
"}}}": 57643, |
|
"}}}}": 58069, |
|
"▁##": 57682, |
|
"▁$$": 57532, |
|
"▁$,": 57646, |
|
"▁$.": 57630, |
|
"▁&=": 58095, |
|
"▁(A": 57961, |
|
"▁(a": 57766, |
|
"▁(a)": 58194, |
|
"▁(b)": 58407, |
|
"▁**": 57855, |
|
"▁+\\": 57563, |
|
"▁0&": 57817, |
|
"▁0,": 57717, |
|
"▁0.": 57625, |
|
"▁1,": 57727, |
|
"▁=\\": 57542, |
|
"▁B}": 57824, |
|
"▁P(": 58011, |
|
"▁Solution": 58305, |
|
"▁Therefore": 58500, |
|
"▁\\": 57527, |
|
"▁\\$": 58402, |
|
"▁\\Delta": 57733, |
|
"▁\\Gamma": 58021, |
|
"▁\\Rightarrow": 58087, |
|
"▁\\\\": 57581, |
|
"▁\\alpha": 57632, |
|
"▁\\begin{bmatrix}": 58311, |
|
"▁\\beta": 57696, |
|
"▁\\delta": 57780, |
|
"▁\\dfrac{": 57836, |
|
"▁\\dot{": 57890, |
|
"▁\\forall": 58436, |
|
"▁\\frac{": 57538, |
|
"▁\\frac{1}{": 57587, |
|
"▁\\frac{1}{2}": 57782, |
|
"▁\\frac{2": 57773, |
|
"▁\\frac{\\partial": 57788, |
|
"▁\\frac{d": 57793, |
|
"▁\\gamma": 57802, |
|
"▁\\hat{": 57738, |
|
"▁\\int": 57647, |
|
"▁\\lambda": 57688, |
|
"▁\\langle": 57964, |
|
"▁\\large": 58357, |
|
"▁\\left[": 57767, |
|
"▁\\left\\{": 58068, |
|
"▁\\lim_{": 58092, |
|
"▁\\mathbf{": 57624, |
|
"▁\\mathrm{": 57606, |
|
"▁\\mbox{": 57810, |
|
"▁\\mu": 57657, |
|
"▁\\omega": 57695, |
|
"▁\\overline{": 57886, |
|
"▁\\partial": 57619, |
|
"▁\\phi": 57728, |
|
"▁\\pi": 57621, |
|
"▁\\psi": 57850, |
|
"▁\\rho": 57748, |
|
"▁\\rm": 57602, |
|
"▁\\sigma": 57712, |
|
"▁\\sin": 57678, |
|
"▁\\sqrt{": 57614, |
|
"▁\\tau": 57815, |
|
"▁\\text{": 57593, |
|
"▁\\theta": 57636, |
|
"▁\\varphi": 57908, |
|
"▁\\vec{": 57764, |
|
"▁\\{": 57745, |
|
"▁assum": 58483, |
|
"▁b)": 57987, |
|
"▁calculat": 58126, |
|
"▁calculate": 58308, |
|
"▁compl": 58325, |
|
"▁deno": 58319, |
|
"▁deriv": 58268, |
|
"▁distribution": 58487, |
|
"▁dx": 57742, |
|
"▁d}": 57672, |
|
"▁eas": 57876, |
|
"▁edge": 58185, |
|
"▁entr": 58332, |
|
"▁equal": 58129, |
|
"▁equation": 57811, |
|
"▁equations": 58385, |
|
"▁expression": 58425, |
|
"▁f(x)": 58057, |
|
"▁finite": 58466, |
|
"▁follows": 58453, |
|
"▁fraction": 58475, |
|
"▁hav": 57804, |
|
"▁is:": 58394, |
|
"▁i}": 57567, |
|
"▁length": 58340, |
|
"▁matrix": 57707, |
|
"▁operat": 57994, |
|
"▁partial": 57615, |
|
"▁probab": 58283, |
|
"▁probability": 58401, |
|
"▁r}": 57649, |
|
"▁simpl": 58204, |
|
"▁sl": 58008, |
|
"▁square": 58389, |
|
"▁triangle": 58445, |
|
"▁t}": 57617, |
|
"▁u=": 58285, |
|
"▁values": 58267, |
|
"▁vector": 58048, |
|
"▁wh": 57627, |
|
"▁x)": 57633, |
|
"▁x=": 57859, |
|
"▁x}": 57559, |
|
"▁y=": 58034, |
|
"▁y}": 57571, |
|
"▁{\\bf": 57754, |
|
"▁{\\cal": 58098, |
|
"▁{\\rm": 57609, |
|
"▁{{": 57589, |
|
"▁{}": 57674, |
|
"▁{}^{": 57983, |
|
"▁|": 57565 |
|
} |
|
|