{
"NTCIR11-Math-1": ["math:(", "math:(", "math:?", "math:U!times", "math:?", "math:)", "math:U!eq", "math:(", "math:V!i", "math:U!times", "math:V!d", "math:)", "math:)", "math:(", "math:?", "math:U!neq", "math:(", "math:V!i", "math:U!times", "math:V!d", "math:)", "math:)", "text:hyperelliptic", "text:surface", "text:riemann"],
"NTCIR11-Math-2": ["text:lisboa", "text:cauchy"],
"NTCIR11-Math-3": ["text:geodesic", "text:interval", "text:symmetric"],
"NTCIR11-Math-4": ["text:invariance", "text:point", "text:interaction"],
"NTCIR11-Math-5": ["text:entropy", "text:bound", "text:bekenstein", "text:hawking"],
"NTCIR11-Math-6": ["text:brane", "text:action", "text:cosmological"],
"NTCIR11-Math-7": ["math:(", "math:(", "math:?", "math:U!times", "math:(", "math:?", "math:O!divide", "math:?", "math:)", "math:)", "math:O!minus", "math:(", "math:?", "math:U!times", "math:(", "math:?", "math:O!divide", "math:?", "math:)", "math:)", "math:)", "text:non", "text:gaussianity", "text:curvatons", "text:density", "text:perturbations", "text:energy", "text:potential"],
"NTCIR11-Math-8": ["text:invariant", "text:subspace", "text:property", "text:banach", "text:spaces"],
"NTCIR11-Math-9": ["text:ecosystems", "text:power", "text:law", "text:distributions"],
"NTCIR11-Math-10": ["math:(", "math:(", "math:V!f", "math:U!times", "math:?", "math:)", "math:U!eq", "math:(", "math:(", "math:N!1", "math:O!divide", "math:(", "math:V!\u03c3", "math:U!times", "math:O!root", "math:(", "math:(", "math:N!2", "math:U!times", "math:V!\u03c0", "math:)", "math:,", "math:N!2", "math:)", "math:)", "math:)", "math:U!times", "math:?", "math:)", "math:)", "text:gaussian", "text:distribution", "text:random", "text:sequence", "text:algorithm", "text:code"],
"NTCIR11-Math-11": ["text:eigenvalue"],
"NTCIR11-Math-12": ["text:construct", "text:differential", "text:graded", "text:algebra"],
"NTCIR11-Math-13": ["math:V!D", "text:type", "text:maximal", "text:monotone"],
"NTCIR11-Math-14": ["math:(", "math:V!t", "math:U!times", "math:V!r", "math:U!times", "math:(", "math:?", "math:U!times", "math:V!l", "math:U!times", "math:V!n", "math:U!times", "math:?", "math:)", "math:)", "text:neumann", "text:entropy"],
"NTCIR11-Math-15": ["text:riemann", "text:zeta"],
"NTCIR11-Math-16": ["math:(", "math:(", "math:?", "math:U!times", "math:?", "math:)", "math:U!eq", "math:?", "math:)", "text:fixed", "text:point"],
"NTCIR11-Math-17": ["text:mandelbrot", "text:dynamical", "text:plane"],
"NTCIR11-Math-18": ["math:(", "math:(", "math:(", "math:V!a", "math:U!times", "math:?", "math:)", "math:U!plus", "math:V!b", "math:)", "math:O!divide", "math:(", "math:(", "math:V!c", "math:U!times", "math:?", "math:)", "math:U!plus", "math:V!d", "math:)", "math:)", "text:mobius", "text:mo", "text:bius", "text:automorphism"],
"NTCIR11-Math-19": ["text:homology", "text:duality"],
"NTCIR11-Math-20": ["text:golden", "text:ratio", "text:fibonacci"],
"NTCIR11-Math-21": ["math:(", "math:(", "math:?", "math:U!times", "math:(", "math:(", "math:?", "math:U!times", "math:V!x", "math:)", "math:U!plus", "math:(", "math:?", "math:U!times", "math:V!y", "math:)", "math:)", "math:)", "math:O!lt", "math:(", "math:(", "math:?", "math:U!times", "math:?", "math:U!times", "math:V!x", "math:)", "math:U!plus", "math:(", "math:?", "math:U!times", "math:?", "math:U!times", "math:V!y", "math:)", "math:)", "math:)", "text:convex", "text:convexity"],
"NTCIR11-Math-22": ["text:integral", "text:surface"],
"NTCIR11-Math-23": ["text:definition", "text:inner", "text:product"],
"NTCIR11-Math-24": ["text:arithmetic", "text:chow", "text:group"],
"NTCIR11-Math-25": ["text:theorem", "text:arithmetic", "text:chern", "text:number"],
"NTCIR11-Math-26": ["text:vessel"],
"NTCIR11-Math-27": ["text:electron", "text:energy", "text:quantum", "text:dynamics", "text:njl"],
"NTCIR11-Math-28": ["text:quantum", "text:field", "text:theory"],
"NTCIR11-Math-29": ["text:heat", "text:kernel", "text:asymptotic"],
"NTCIR11-Math-30": ["text:complex", "text:projective", "text:space"],
"NTCIR11-Math-31": ["math:(", "math:?", "math:U!plus", "math:(", "math:N!1", "math:O!divide", "math:(", "math:(", "math:N!3", "math:U!times", "math:?", "math:)", "math:U!plus", "math:?", "math:)", "math:)", "math:)", "text:graph", "text:covering", "text:fractional", "text:arboricity"],
"NTCIR11-Math-32": ["text:cauchy", "text:schwarz"],
"NTCIR11-Math-33": ["text:hoelder", "text:ho", "text:lder"],
"NTCIR11-Math-34": ["text:dominated", "text:convergence", "text:lebesgue"],
"NTCIR11-Math-35": ["text:invertible", "text:banach", "text:algebra"],
"NTCIR11-Math-36": ["text:spectral", "text:radius", "text:matrix"],
"NTCIR11-Math-37": ["text:singular", "text:value", "text:decomposition", "text:matrix"],
"NTCIR11-Math-38": ["text:minkowski", "text:inequality"],
"NTCIR11-Math-39": ["text:markov", "text:inequality"],
"NTCIR11-Math-40": ["text:weak", "text:law", "text:large", "text:number"],
"NTCIR11-Math-41": ["text:strong", "text:law", "text:large", "text:number"],
"NTCIR11-Math-42": ["text:eigenvalues"],
"NTCIR11-Math-43": ["text:ampere", "text:line", "text:integral"],
"NTCIR11-Math-44": ["math:(", "math:M!L-0", "math:(", "math:?", "math:,", "math:?", "math:,", "math:?", "math:,", "math:?", "math:)", "math:O!in", "math:V!N", "math:)", "text:diophantine", "text:equations"],
"NTCIR11-Math-45": ["text:fibonacci"],
"NTCIR11-Math-46": ["text:graph", "text:chromatic", "text:polynomials"],
"NTCIR11-Math-47": ["text:recurrence", "text:relation", "text:pell", "text:number"],
"NTCIR11-Math-48": ["math:(", "math:(", "math:F!normal- \u0307", "math:(", "math:V!x", "math:)", "math:U!times", "math:V!t", "math:)", "math:U!eq", "math:(", "math:(", "math:?", "math:U!times", "math:V!x", "math:U!times", "math:V!t", "math:)", "math:U!plus", "math:(", "math:?", "math:U!times", "math:V!u", "math:U!times", "math:V!t", "math:)", "math:)", "math:)", "math:(", "math:V!t", "math:O!in", "math:V!R", "math:)", "text:pole", "text:placement", "text:state", "text:feedback", "text:eigenstructure", "text:assigment"],
"NTCIR11-Math-49": ["text:gauss", "text:sums", "text:finite", "text:sums"],
"NTCIR11-Math-50": ["text:acyclic", "text:index", "text:acyclic", "text:edge", "text:coloring", "text:graph"],
}