qrels/test.jsonl

{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Active_contour_model:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Binomial_coefficient:197", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Dedekind_eta_function:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "De_Rham_curve:60", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Duckworth\u2013Lewis_method:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Edge-graceful_labeling:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Elementary_algebra:196", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Fibonacci_number:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Field_electron_emission:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Fractional_vortices:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Geometry_index:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Giant_component:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Golden_ratio:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Heegner_number:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Joint_entropy:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Madelung_constant:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Magnetization_dynamics:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Mathematical_coincidence:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Mathematical_constants_and_functions:355", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Misiurewicz_point:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Nth_root:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Particular_values_of_Riemann_zeta_function:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Pell_number:45", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Pell_number:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Pell_number:61", "score": 2}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Point_set_triangulation:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Power_series_solution_of_differential_equations:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Prime_zeta_function:28", "score": 2}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Pseudoholomorphic_curve:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Quintic_function:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Random_Fibonacci_sequence:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Riemann\u2013Siegel_theta_function:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Riemann\u2013Siegel_theta_function:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Ruin_theory:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Specific_orbital_energy:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Spiral_of_Theodorus:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Srinivasa_Ramanujan:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Stieltjes_constants:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Symmetry_of_diatomic_molecules:126", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Transmission_line:53", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Trigamma_function:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Trigamma_function:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "True_anomaly:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Vienna_rectifier:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-1", "corpus-id": "Wrapped_exponential_distribution:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "1_\u2212_2_+_3_\u2212_4_+_\u22ef:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Abel\u2013Plana_formula:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Analyticity_of_holomorphic_functions:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Bernoulli_polynomials:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Blancmange_curve:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Carl_Johan_Malmsten:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Catalan's_constant:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Confluent_hypergeometric_function:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Conway\u2013Maxwell\u2013Poisson_distribution:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Digamma_function:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Dirichlet_beta_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Dirichlet_character:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Dirichlet_L-function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Liouville_function:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Dirichlet_series:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Divided_differences:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Draft:List_of_shape_topics_in_various_fields:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Engel_expansion:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Functional_determinant:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Generalized_hypergeometric_function:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Generalized_Riemann_hypothesis:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Help:Displaying_a_formula:381", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Hermite's_problem:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Hurwitz_zeta_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Hurwitz_zeta_function:60", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Hyperbolic_angle:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Hypergeometric_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Lerch_zeta_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "List_of_fractals_by_Hausdorff_dimension:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Minakshisundaram\u2013Pleijel_zeta_function:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Modularity_theorem:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Modular_elliptic_curve:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Multiple_zeta_function:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "P-adic_exponential_function:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Padovan_sequence:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Perron's_formula:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Polygamma_function:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Prime_number:52", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Q-analog:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Q-difference_polynomial:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Ramanujan's_master_theorem:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Riemann_zeta_function:119", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Selberg_class:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "List_of_zeta_functions:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Sine-Gordon_equation:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Spectral_theory:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Theta_function:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-10", "corpus-id": "Trigamma_function:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Abel\u2013Ruffini_theorem:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Elementary_algebra:116", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Algebra:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Algebraic_solution:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Diophantus:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Closed-form_expression:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Field_trace:19", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Gerolamo_Cardano:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Huzita\u2013Hatori_axioms:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Line\u2013sphere_intersection:14", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Monic_polynomial:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Numeric_precision_in_Microsoft_Excel:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Parabola:43", "score": 1}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Periodic_points_of_complex_quadratic_mappings:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Quadratic_equation:76", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Quadratic_Gauss_sum:20", "score": 2}
{"query-id": "NTCIR12-MathWiki-11", "corpus-id": "Reduction_of_order:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Binary_heap:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Cache-oblivious_algorithm:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Cache-oblivious_matrix_multiplication:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Cover_tree:12", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Dinic's_algorithm:48", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Dynamic_connectivity:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Dynamic_programming:122", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Dynamic_programming:75", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Dynamization:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Edmonds'_algorithm:71", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Expander_code:157", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "FEE_method:36", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "FEE_method:78", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Geometric_spanner:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Gift_wrapping_algorithm:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Goertzel_algorithm:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Goertzel_algorithm:70", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Graver_basis:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Group_testing:104", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Hierarchical_matrix:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Hunt\u2013McIlroy_algorithm:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Ideal_lattice_cryptography:164", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Ideal_lattice_cryptography:92", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Josephus_problem:83", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Karger's_algorithm:86", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Kinetic_priority_queue:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Kinetic_priority_queue:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Kinetic_sorted_list:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "LCP_array:42", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "LCP_array:43", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Lenstra\u2013Lenstra\u2013Lova\u0301sz_lattice_basis_reduction_algorithm:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Matrix_multiplication:144", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Metrical_task_system:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Network_simplex_algorithm:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Binary_heap:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Quantum_algorithm_for_linear_systems_of_equations:74", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Randomized_algorithm:35", "score": 2}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Random_projection:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Robust_principal_component_analysis:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Routing_and_wavelength_assignment:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Scapegoat_tree:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Splay_tree:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "String_searching_algorithm:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-12", "corpus-id": "Vizing's_theorem:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Adaptive-additive_algorithm:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "AN_codes:92", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Attribute_Hierarchy_Method:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Blossom_algorithm:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Boolean_algebra:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Boomerang_attack:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Carry-lookahead_adder:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Cartesian_product:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Closing_(morphology):0", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Coding_theory_approaches_to_nucleic_acid_design:71", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Commutative_non-associative_magmas:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Complement_(set_theory):10", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Complexification_(Lie_group):300", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Computationally_bounded_adversary:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Context-free_language:29", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Dedekind_domain:71", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "De_Morgan's_laws:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "De_Morgan's_laws:60", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Dilation_(morphology):2", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Dilution_of_precision_(GPS):15", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Duality_(mathematics):4", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "E7_(mathematics):10", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Equilibrium_constant:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Mathematical_morphology:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Exclusive_or:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Functional_completeness:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Grothendieck_spectral_sequence:47", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Gyrovector_space:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Hit-or-miss_transform:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Inverse_element:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Jaccard_index:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Kabsch_algorithm:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Kelvin\u2013Stokes_theorem:95", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Lattice_problem:44", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Linear_logic:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Line\u2013line_intersection:40", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "List_of_logic_systems:82", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Logic_gate:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Lorentz_transformation:52", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Lucas\u2013Kanade_method:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Mathematical_morphology:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Minimum_mean_square_error:144", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Mathematical_morphology:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Quotient_space_(linear_algebra):0", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Real_line:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Ring_of_sets:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Ring_of_sets:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Satake_diagram:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Schnirelmann_density:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Set_(mathematics):0", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Skew_and_direct_sums_of_permutations:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Subtractor:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Symmetric_difference:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Symmetric_difference:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Test_Template_Framework:36", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Tseitin_transformation:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Two-element_Boolean_algebra:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "Union_(set_theory):14", "score": 1}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "XOR_swap_algorithm:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-13", "corpus-id": "XOR_swap_algorithm:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Angular_velocity:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Assured_Clear_Distance_Ahead:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Brahmagupta's_formula:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Bravais_lattice:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Catenoid:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Celestial_coordinate_system:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Celestial_coordinate_system:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Celestial_coordinate_system:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Chemical_thermodynamics:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Clausen_function:112", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Clausen_function:59", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Conversion_between_quaternions_and_Euler_angles:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Differential_geometry_of_surfaces:60", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Fractional_coordinates:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Gravitational_instanton:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Green's_function_for_the_three-variable_Laplace_equation:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Haversine_formula:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "History_of_trigonometry:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Hyperbolic_law_of_cosines:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Hyperbolic_triangle:25", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Wetting:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Law_of_cosines:71", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Machin-like_formula:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Machin-like_formula:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Orthogonal_matrix:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Orthonormality:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Perifocal_coordinate_system:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Plus-minus_sign:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Polar_coordinate_system:39", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Proofs_of_trigonometric_identities:142", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Proofs_of_trigonometric_identities:143", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Proofs_of_trigonometric_identities:64", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Proofs_of_trigonometric_identities:76", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Prosthaphaeresis:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Ptolemy's_theorem:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Ptolemy's_theorem:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Ptolemy's_theorem:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Range_of_a_projectile:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Rifleman's_rule:65", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Rigid_rotor:75", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Solar_zenith_angle:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Solution_of_triangles:105", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Solution_of_triangles:71", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Solution_of_triangles:91", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Spherical_harmonics:111", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Spherical_law_of_cosines:18", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Spherical_trigonometry:16", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Spherical_trigonometry:17", "score": 2}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Steady_flight:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Sundial:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Trigonometric_functions:102", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Trigonometric_functions:70", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Trigonometry:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Unit_vector:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Universal_joint:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Vincenty's_formulae:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-14", "corpus-id": "Wigner_D-matrix:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "ACE_Encrypt:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Ackermann_set_theory:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Alternatization:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Analytic_set:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Arf_invariant:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Axiom_of_adjunction:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Axiom_schema_of_predicative_separation:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Axiom_schema_of_replacement:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Axiom_schema_of_replacement:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Banach_algebra:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Bijection,_injection_and_surjection:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Bijection,_injection_and_surjection:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "C-minimal_theory:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Clebsch\u2013Gordan_coefficients_for_SU(3):36", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Constructive_set_theory:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Constructive_set_theory:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Cyclotomic_fast_Fourier_transform:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Differential_algebra:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Epsilon-induction:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Euclidean_relation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Finite_model_theory:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "First-order_logic:124", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Functional_predicate:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "General_frame:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "General_set_theory:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "General_set_theory:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Glossary_of_Lie_algebras:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Implementation_of_mathematics_in_set_theory:116", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Implementation_of_mathematics_in_set_theory:91", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Infinity_(philosophy):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Internal_set_theory:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Invariant_theory:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Karp\u2013Lipton_theorem:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Lambda_calculus_definition:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Lambda_calculus_definition:69", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Let_expression:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Lie_algebra_representation:81", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Lyapunov_stability:44", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Mass_noun:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Mereology:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Mereotopology:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Method_of_analytic_tableaux:158", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Monic_polynomial:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Morse\u2013Kelley_set_theory:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Morse\u2013Kelley_set_theory:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Normed_algebra:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Original_proof_of_Go\u0308del's_completeness_theorem:100", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Peano_axioms:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Peano_axioms:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Pseudo-order:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Riemannian_manifold:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Russell's_paradox:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Sahlqvist_formula:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Strong_antichain:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "ST_type_theory:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Subadditivity:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Syntactic_monoid:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "S_(set_theory):3", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "S_(set_theory):4", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Tarski\u2013Grothendieck_set_theory:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Total_order:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Transfer_principle:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Unbounded_operator:55", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Universal_hashing:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Von_Neumann\u2013Bernays\u2013Go\u0308del_set_theory:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Well-quasi-ordering:98", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Whitehead's_point-free_geometry:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Whitehead's_point-free_geometry:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Zermelo\u2013Fraenkel_set_theory:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-15", "corpus-id": "Zermelo\u2013Fraenkel_set_theory:46", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "AB_magnitude:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Accumulation_function:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Allan_variance:130", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Almost_periodic_function:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Beer\u2013Lambert_law:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Avalanche_photodiode:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Beam_diameter:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Bessel_function:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Biot\u2013Tolstoy\u2013Medwin_diffraction_model:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "BKL_singularity:119", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Calibration_curve:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Causal_filter:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Centroid:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Centroid:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Cesa\u0300ro_summation:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Checking_whether_a_coin_is_fair:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Compound_interest:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Convolution:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Convolution:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Delay_spread:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Dirac_delta_function:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Duality_(electrical_circuits):2", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Duhamel's_principle:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Duhamel's_principle:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Eigenstate_thermalization_hypothesis:46", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Euler_spiral:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Faraday's_laws_of_electrolysis:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Feynman_diagram:223", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Feynman\u2013Kac_formula:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Fourier_transform:202", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Fractional_calculus:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Frequency_modulation:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Frequency_modulation:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Gabor_wavelet:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Gabor_wavelet:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "GEH_statistic:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Generation_time:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Global-warming_potential:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Gravitational_lensing_formalism:95", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Hysteresis:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Information_geometry:315", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Invariant_estimator:106", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Jiles-Atherton_model:34", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Karhunen\u2013Loe\u0300ve_theorem:186", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Kinetic_scheme:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Kirchhoff's_law_of_thermal_radiation:12", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Langmuir_probe:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Linear_filter:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Logan_plot:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Logan_plot:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Luminous_efficacy:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Magnus_expansion:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Meijer_G-function:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Meridian_arc:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Moment_(mathematics):3", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Multimodal_distribution:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Nonimaging_optics:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Numeric_precision_in_Microsoft_Excel:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Omega_ratio:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Opacity_(optics):12", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Opacity_(optics):17", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Particle_in_a_box:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Path_integrals_in_polymer_science:104", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Patlak_plot:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Pitot_tube:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Post-modern_portfolio_theory:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Posterior_probability:22", "score": 2}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Power_factor:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Proof_that_\u03c0_is_irrational:57", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Proof_that_\u03c0_is_irrational:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Quantization_(signal_processing):76", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Redfield_equation:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Residence_time_distribution:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Residence_time_distribution:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Root-mean-square_deviation:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Short-time_Fourier_transform:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Sommerfeld_expansion:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Sortino_ratio:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Stretched_exponential_function:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Struve_function:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Surface_of_revolution:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Beer\u2013Lambert_law:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Twin_paradox:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Watson's_lemma:47", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Xbar_and_s_chart:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-16", "corpus-id": "Zero_state_response:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "1::2_\u2212_1::4_+_1::8_\u2212_1::16_+_\u22ef:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "1_+_2_+_3_+_4_+_\u22ef:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "1_\u2212_2_+_3_\u2212_4_+_\u22ef:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "1_\u2212_2_+_4_\u2212_8_+_\u22ef:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Alternating_series:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Analytic_continuation:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Approximations_of_\u03c0:212", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Approximations_of_\u03c0:219", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Arithmetic_progression:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Battle_of_the_sexes_(game_theory):9", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Bernoulli_number:112", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Biexciton:40", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Binomial_series:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Cahen's_constant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Conditional_convergence:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Convergent_series:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Convergent_series:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Digamma_function:47", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Divergent_series:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Draft:Leaving_Certificate_Mathematics_Ordinary_Level:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Euler\u2013Mascheroni_constant:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Exchange_interaction:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Faulhaber's_formula:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "File:GeometricSegment.png:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Fraction_(mathematics):97", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Generalized_continued_fraction:71", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "1::2_\u2212_1::4_+_1::8_\u2212_1::16_+_\u22ef:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Goldbach\u2013Euler_theorem:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Harmonic_number:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Harmonic_series_(mathematics):16", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Harmonic_series_(mathematics):3", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Hilbert_matrix:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Indian_mathematics:56", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Indian_mathematics:61", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Indifference_price:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Inductance:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Interval_arithmetic:157", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Kepler's_laws_of_planetary_motion:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Kerala_school_of_astronomy_and_mathematics:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Lagrange_inversion_theorem:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Leibniz_formula_for_\u03c0:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Lenstra\u2013Lenstra\u2013Lova\u0301sz_lattice_basis_reduction_algorithm:75", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "List_of_formulae_involving_\u03c0:37", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "List_of_formulae_involving_\u03c0:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "List_of_formulae_involving_\u03c0:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Mathematical_constants_and_functions:70", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Mathematical_constants_and_functions:98", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Natural_logarithm_of_2:38", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Newton_polynomial:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Periodic_points_of_complex_quadratic_mappings:46", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Pi:115", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Probability:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Proof_that_22::7_exceeds_\u03c0:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Random_permutation_statistics:79", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Riemann_series_theorem:24", "score": 2}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Series_(mathematics):48", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Series_(mathematics):57", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Special_values_of_L-functions:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Spence's_function:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Sylvester's_sequence:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Tukey_lambda_distribution:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Van_'t_Hoff_factor:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-17", "corpus-id": "Van_Wijngaarden_transformation:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "(a,b,0)_class_of_distributions:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "An_Essay_towards_solving_a_Problem_in_the_Doctrine_of_Chances:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Spherical_harmonics:67", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Bell_polynomials:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Bessel_polynomials:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Be\u0301zier_curve:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Binomial_distribution:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Binomial_distribution:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Binomial_theorem:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Per_Enflo:34", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Bose\u2013Einstein_statistics:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Bose\u2013Hubbard_model:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Brownian_motion:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Brownian_motion:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Cake_number:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Chebyshev_nodes:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Checking_whether_a_coin_is_fair:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Combination:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Einstein_solid:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Error_function:71", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Exponential_family:209", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Fermi\u2013Dirac_statistics:101", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Freshman's_dream:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Gamma_function:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Gaussian_integral:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "General_Leibniz_rule:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Gibbs_paradox:71", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Hook_length_formula:126", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Hypercube:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Identical_particles:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Importance_sampling:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Incidence_algebra:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Inclusion\u2013exclusion_principle:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Jordan_normal_form:50", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Kelly_criterion:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Langmuir_adsorption_model:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Logistic_regression:99", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Ludwig_Boltzmann:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Maximum_entropy_probability_distribution:99", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Maxwell\u2013Boltzmann_statistics:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Mode_choice:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Multi-index_notation:43", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Multinomial_theorem:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Multinomial_theorem:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Multiplicity_function_for_N_noninteracting_spins:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Newton's_method:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Order_statistic:26", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Order_statistic:46", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Partial_fraction_decomposition:89", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Partition_function_(statistical_mechanics):24", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Pascal's_triangle:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Poisson_limit_theorem:8", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Poker_probability:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Polar_curve:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Principle_of_maximum_entropy:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Qualitative_variation:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Quantile_function:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Quantum_finance:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Ramsey's_theorem:78", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Return_period:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Rule_of_succession:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Schuette\u2013Nesbitt_formula:143", "score": 1}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Score_(statistics):29", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Statistical_coupling_analysis:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Sufficient_statistic:100", "score": 0}
{"query-id": "NTCIR12-MathWiki-18", "corpus-id": "Taylor's_law:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Acoustic_theory:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Aeroacoustics:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Aeroacoustics:36", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Airy_wave_theory:103", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Anisotropic_Network_Model:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Boundary_layer:63", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Capelli's_identity:130", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Capillary_surface:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Cartesian_tensor:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Cauchy\u2013Riemann_equations:45", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Cayley's_\u03a9_process:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Chain_rule:81", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Constraint_algorithm:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Curvilinear_coordinates:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Discretization_of_Navier\u2013Stokes_equations:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Elasticity_coefficient:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Electric_field_gradient:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Fisher_information:32", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Fluid_mechanics:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Fourier_series:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Fo\u0308ppl\u2013von_Ka\u0301rma\u0301n_equations:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Gauss\u2013Newton_algorithm:73", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Gravitational_lensing_formalism:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Hessian_matrix:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Hessian_matrix:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Hopf_lemma:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Hyperfine_structure:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Infinitesimal_strain_theory:111", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Infinitesimal_strain_theory:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Invariant_of_a_binary_form:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Ito\u0304_calculus:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Jacobian_conjecture:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Jacobian_matrix_and_determinant:81", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Jacobian_matrix_and_determinant:83", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "John's_equation:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "J_integral:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Kronecker_delta:63", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Large_eddy_simulation:119", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Linear_seismic_inversion:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Matrix_calculus:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Matrix_calculus:85", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Maxwell_relations:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Mean_curvature:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Method_of_steepest_descent:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Metric_tensor:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Metric_tensor:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Observed_information:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Partial_derivative:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Pitchfork_bifurcation:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Plurisubharmonic_function:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Polar_curve:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Power-flow_study:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Reynolds_stress:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Saint-Venant's_compatibility_condition:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Special_relativity:34", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Stochastic_processes_and_boundary_value_problems:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Strategic_complements:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Strategic_complements:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Stress_functions:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Tribimaximal_mixing:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-19", "corpus-id": "Trimaximal_mixing:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Algorithmic_inference:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Algorithms_for_calculating_variance:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Algorithms_for_calculating_variance:94", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Assortativity:27", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Bessel's_correction:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Bias_of_an_estimator:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Calibration_curve:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Chi-squared_distribution:74", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Collaborative_filtering:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Concordance_correlation_coefficient:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Conjugate_prior:157", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Correlation_and_dependence:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Cosine_similarity:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "D'Agostino's_K-squared_test:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Degrees_of_freedom_(statistics):19", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Degrees_of_freedom_(statistics):32", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Dimensionless_quantity:30", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Errors-in-variables_models:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Estimation_of_covariance_matrices:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Estimation_of_covariance_matrices:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Estimation_of_covariance_matrices:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Explained_sum_of_squares:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Explained_sum_of_squares:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "F-test_of_equality_of_variances:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Fisher_transformation:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Fraction_of_variance_unexplained:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Generalized_normal_distribution:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Gravitational_lensing_formalism:108", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Gravitational_lensing_formalism:97", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Histogram:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Hotelling's_T-squared_distribution:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Hotelling's_T-squared_distribution:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Jarque\u2013Bera_test:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Kendall's_W:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Kuder\u2013Richardson_Formula_20:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Kurtosis:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Kurtosis:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "List_of_convolutions_of_probability_distributions:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Mean_absolute_difference:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Mean_square_weighted_deviation:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Moran's_I:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Multivariate_normal_distribution:111", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Omnibus_test:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Partition_of_sums_of_squares:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Pearson_product-moment_correlation_coefficient:17", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Pivotal_quantity:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Point-biserial_correlation_coefficient:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Proofs_involving_ordinary_least_squares:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Ratio_estimator:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Regression_analysis:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Regression_toward_the_mean:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Sample_mean_and_sample_covariance:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Sample_mean_and_sample_covariance:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Sharpe_ratio:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Simple_linear_regression:107", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Simple_linear_regression:109", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Skewness:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Standardized_mean_of_a_contrast_variable:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Standard_deviation:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Student's_t-test:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Studentized_residual:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Sufficient_statistic:105", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Unbiased_estimation_of_standard_deviation:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "Vector_space_model:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-20", "corpus-id": "YaDICs:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "10_(number):10", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "11_(number):18", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "10_(number):6", "score": 2}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "12_(number):5", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "142857_(number):0", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "4_(number):7", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "5_(number):9", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Acoustic_wave_equation:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Active_contour_model:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Adequality:29", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Adjoint_functors:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Airy_function:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Algebraic_function:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Alternatives_to_general_relativity:238", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Alternatives_to_general_relativity:239", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Balance_puzzle:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Casus_irreducibilis:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Cayley's_ruled_cubic_surface:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Charge_number:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Classical_orthogonal_polynomials:194", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Completing_the_square:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Complex_base_systems:86", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Derivation_of_the_Routh_array:92", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "De_Rham_curve:60", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Disjunctive_sequence:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Karplus\u2013Strong_string_synthesis:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Dot_(diacritic):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Double_auction:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Draft:Leaving_Certificate_Mathematics_Ordinary_Level:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Edge-graceful_labeling:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Eigenvalue_algorithm:157", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Ellipse:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Elliptic_partial_differential_equation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Envelope_(mathematics):73", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Essential_matrix:50", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Exponential_family:93", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Galois_theory:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Gauss\u2013Legendre_algorithm:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Gauss\u2013Legendre_algorithm:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Jordan_normal_form:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Simplex:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Lieb\u2013Thirring_inequality:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Linear_least_squares_(mathematics):22", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Loss_of_significance:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Square_matrix:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Matsubara_frequency:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Normalization_property_(abstract_rewriting):8", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Normal_number:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Nth_root:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Numerical_methods_for_ordinary_differential_equations:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Nyquist_stability_criterion:98", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Parabolic_partial_differential_equation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Particular_values_of_Riemann_zeta_function:29", "score": 2}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pell_number:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pell_number:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pell_number:63", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pell_number:67", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pisot\u2013Vijayaraghavan_number:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Polylogarithm:101", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Polynomial:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Preconditioner:44", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Prime_zeta_function:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Prime_zeta_function:28", "score": 2}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Prime_zeta_function:36", "score": 2}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Primitive_equations:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Pulley:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Quadratic_formula:100", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Quantum_Fourier_transform:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Quintic_function:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Quintic_function:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Q_factor:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Raychaudhuri_equation:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Reduction_potential:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Repeating_decimal:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Repeating_decimal:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Riemann\u2013Siegel_theta_function:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "S-duality:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Self-adjoint_operator:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Size_effect_on_structural_strength:36", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Slow_manifold:34", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Stufe_(algebra):39", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Symmetry_of_diatomic_molecules:368", "score": 0}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Trigamma_function:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Trigonometric_functions:84", "score": 1}
{"query-id": "NTCIR12-MathWiki-21", "corpus-id": "Trilinear_coordinates:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "3-sphere:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Analytic_combinatorics:167", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Big_O_notation:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Cardinal_characteristic_of_the_continuum:91", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Aberration_of_light:47", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Conditional_mutual_information:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Variance:134", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Mathematical_morphology:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Aqua_regia:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Dipole:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Distributed_constraint_optimization:47", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Whistle:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Eisenstein_reciprocity:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Glassy_carbon:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Gospel_of_John:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Gospel_of_John:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Gospel_of_John:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Harmony_search:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Help:Displaying_a_formula:128", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Henry's_law:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Abductive_reasoning:62", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Apollos:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:151", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:50", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:66", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:72", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:85", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Upper-convected_Maxwell_model:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Linear_combination:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:70", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Poisson_manifold:95", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Arithmetic\u2013geometric_mean:36", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Prime_integer_topology:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Principalization_(algebra):67", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Principalization_(algebra):161", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Principalization_(algebra):79", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Pushdown_automaton:135", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Quadratic_set:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Quadric_(projective_geometry):100", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Random_permutation_statistics:260", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Random_permutation_statistics:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Random_permutation_statistics:96", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Random_structure_function:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Real_closed_field:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Semilinear_transformation:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Standard_part_function:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Stirling_numbers_and_exponential_generating_functions_in_symbolic_combinatorics:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "List_of_New_Testament_papyri:97", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Gospel_of_John:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Tonelli\u2013Shanks_algorithm:59", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Upper-convected_time_derivative:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-22", "corpus-id": "Wilson_loop:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Balls_into_bins:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Bessel's_correction:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Binomial_proportion_confidence_interval:42", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Boltzmann_machine:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Boundary_current:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Buffering_agent:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Cassini_projection:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Central_differencing_scheme:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Chain_rule:42", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Clairaut's_equation:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Classical_Hamiltonian_quaternions:55", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Clausen_function:107", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Compressibility_equation:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Continuous_foam_separation:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Coshc_function:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Counting_single_transferable_votes:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Cox's_theorem:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Curvelet:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Deal\u2013Grove_model:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Derivative:230", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Determination_of_equilibrium_constants:57", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "DLVO_theory:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Draft:The_study_of_the_momentum_transfer_due_to_fluid_friction_and_heat_transfer_between_a_stream_and_a_solid_object_in_internal_flow,:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Einstein_field_equations:57", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Einstein_relation_(kinetic_theory):20", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Equivalent_isotropically_radiated_power:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Euler's_equations_(rigid_body_dynamics):12", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Fat_object:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Financial_ratio:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Fitts's_law:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Fluid_flow_through_porous_media:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Hann_function:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Largest_remainder_method:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Hayashi_track:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Heat_capacity:46", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Hilbert_transform:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Ideal_gas:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Ideal_gas:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Internal_energy:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "K-factor_(fire_protection):1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Lagrange's_identity_(boundary_value_problem):22", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Lane\u2013Emden_equation:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Leibniz's_notation:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Leibniz's_notation:62", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Leibniz's_notation:63", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Macroemulsion:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Matrix_calculus:180", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Mean_of_a_function:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Monotone_likelihood_ratio:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Net_tonnage:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Notation_for_differentiation:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Notation_for_differentiation:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Notation_for_differentiation:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Orthogonal_group:200", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Otto_cycle:37", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Parametric_derivative:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Patent_Box:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Phase-comparison_monopulse:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Prothrombin_time:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Pulse-Doppler_radar:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Pulse-Doppler_signal_processing:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Quasi-geostrophic_equations:57", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Range_query_(data_structures):55", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Reciprocal_rule:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Relations_between_heat_capacities:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Separation_of_variables:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Single_transferable_vote:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Sinhc_function:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Slope:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Standard_part_function:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Stefan\u2013Boltzmann_law:36", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Supply_(economics):10", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Tanc_function:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Tanc_function:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Tanhc_function:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Tanhc_function:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Thermal_fluctuations:63", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Tom_Sanders_(mathematician):0", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Transition_state_theory:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "TRIAC:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Vertical_axis_wind_turbine:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Vickrey_auction:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Window_function:72", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Z-transform:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-23", "corpus-id": "Zimm\u2013Bragg_model:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "A._H._Lightstone:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Triangle:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Backstepping:124", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Baum\u2013Connes_conjecture:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Bell_polynomials:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Binomial_type:16", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Bochner's_theorem:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Casting_out_nines:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Characteristic_(algebra):1", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Coherent_states:91", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Compound_Poisson_process:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Convolution_power:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Craig's_theorem:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Cutler's_bar_notation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Divergence:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Diversification_(finance):35", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Draft:Portfolio_performance_contributions:48", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Effective_nuclear_charge:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Electromagnetic_reverberation_chamber:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Exponentiation:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Equioscillation_theorem:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Expectation_value_(quantum_mechanics):4", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Faithful_representation:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Fluctuation-dissipation_theorem:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Fock_space:49", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "FOIL_method:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Fundamental_plane_(elliptical_galaxies):2", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Helmholtz_theorem_(classical_mechanics):4", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Geometric_algebra:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Golomb_coding:32", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Graham's_number:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Graphoid:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Group_(mathematics):2", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Helmholtz_free_energy:74", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Help:Displaying_a_formula:138", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Hodge_dual:43", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Hodge_theory:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Hundred-dollar,_Hundred-digit_Challenge_problems:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Hyperfine_structure:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Hyperfine_structure:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Kernel_method:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Knuth's_up-arrow_notation:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Kubo_formula:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Lag_operator:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Lieb-Robinson_bounds:109", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Liouville's_formula:17", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "List_of_rules_of_inference:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "List_of_rules_of_inference:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "List_of_rules_of_inference:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "List_of_rules_of_inference:40", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "List_of_rules_of_inference:43", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Mathematical_constant:56", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Matrix_(mathematics):6", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Multiple_time_dimensions:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Multiplication:57", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Orthotropic_material:57", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Orthotropic_material:89", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Polymer_electrolyte_membrane_electrolysis:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Preclosure_operator:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Preclosure_operator:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Thematic_vowel:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "No-cloning_theorem:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Quantum_complex_network:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Quantum_complex_network:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Quantum_entanglement:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Quantum_nonlocality:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Quotition_and_partition:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Rule_of_inference:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Rule_of_product:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Sliding_mode_control:101", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Sliding_mode_control:84", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Stein's_method:87", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Structure_(mathematical_logic):42", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Stufe_(algebra):9", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Super-resolution_optical_fluctuation_imaging:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Symmetric_tensor:24", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Tensor_product:118", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Tetration:19", "score": 2}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "True_arithmetic:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Vinculum_(symbol):13", "score": 0}
{"query-id": "NTCIR12-MathWiki-24", "corpus-id": "Young's_lattice:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Ape\u0301ry's_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Approximations_of_\u03c0:185", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Average:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Backhouse's_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Bernstein's_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Binomial_proportion_confidence_interval:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Borel_set:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Bram_van_Leer:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Budan's_theorem:144", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Continued_fraction:313", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Continued_fraction:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Continued_fraction:56", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Continued_fraction:57", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Dual_impedance:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Euclidean_algorithm:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "E_(mathematical_constant):154", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "E_(mathematical_constant):157", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Fibonacci_number:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Fraction_(mathematics):136", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Gauss's_continued_fraction:67", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Generalized_continued_fraction:41", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Golden_ratio:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Half-integer:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Hilbert_transform:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Hypoexponential_distribution:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Khinchin's_constant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Lieb's_square_ice_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "List_of_derivatives_and_integrals_in_alternative_calculi:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "List_of_representations_of_e:8", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Local_case-control_sampling:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Natural_logarithm_of_2:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Non-standard_calculus:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Pade\u0301_table:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Pell_number:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Pell_number:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Scalability:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Rational_number:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Risk_aversion:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Silver_ratio:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Singly_and_doubly_even:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Singular_integral_operators_of_convolution_type:110", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Square_root:116", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Square_root_of_2:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Square_root_of_3:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Square_root_of_5:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Stern\u2013Brocot_tree:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Struve_function:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Transcendental_number:9", "score": 2}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Unscrupulous_diner's_dilemma:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "Vincent's_theorem:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-25", "corpus-id": "William_Brouncker,_2nd_Viscount_Brouncker:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Actinide:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Alpha_decay:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Alpha_helix:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Americium:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Arbitrarily_varying_channel:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Autocatalytic_reaction:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Beck's_monadicity_theorem:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Binding_constant:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Born\u2013Haber_cycle:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Radiocarbon_dating:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Neptunium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Einsteinium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Extended_periodic_table:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Extended_periodic_table:8", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Fermium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Feshbach_resonance:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Free_object:37", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Ion_source:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Gasification:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Geoneutrino:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Geoneutrino:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Greisen\u2013Zatsepin\u2013Kuzmin_limit:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Hollow-cathode_lamp:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Hom_functor:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Indexed_grammar:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Isotopes_of_rutherfordium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Light-front_quantization_applications:47", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Lindhard_theory:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "List_of_New_Testament_papyri:117", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Mandelbrot_set:100", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Molecularity:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Nernst_equation:56", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Neutral_particle_oscillation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Nuclear_forensics:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Oxidative_phosphorylation:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Petersen_matrix:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Plutonium-239:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Product_(chemistry):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Product_(chemistry):2", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Radioactive_displacement_law_of_Fajans_and_Soddy:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Rate_equation:118", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Revitalizant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Ring_(mathematics):243", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Rydberg_atom:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Serial_module:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Solar_neutrino:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Stern\u2013Volmer_relationship:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Thermal_oxidation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Thorium:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Thorium_fuel_cycle:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Thorium_fuel_cycle:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Traveling_wave_reactor:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Universal_Century_technology:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Extended_periodic_table:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Uranium:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Variety_(universal_algebra):6", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Linear_subspace:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-26", "corpus-id": "Zinc_smelting:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Rewriting:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Rewriting:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Algebraic_variety:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Asymptotic_theory_(statistics):5", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Bloch_group:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Categorification:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Continuous_mapping_theorem:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Convergence_of_random_variables:54", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Convergence_of_random_variables:74", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Convergence_of_random_variables:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Convergence_of_random_variables:84", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Converse_nonimplication:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Courant_algebroid:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Delta_method:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Delta_method:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Derived_category:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Diagram_(category_theory):5", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Differential_form:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Discrete_Morse_theory:63", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Equivariant_sheaf:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Extended_Boolean_model:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Extension_of_a_topological_group:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Final_functor:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Generalized_Gauss\u2013Bonnet_theorem:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Generalized_method_of_moments:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Grassmannian:123", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Group_extension:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Heavy_traffic_approximation:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Heavy_traffic_approximation:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Hitchin_functional:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Hodge_dual:59", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Hopf_invariant:61", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Horrocks\u2013Mumford_bundle:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Koszul_cohomology:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Kullback\u2013Leibler_divergence:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Lie_coalgebra:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "McKay_graph:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Measurable_function:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Nijenhuis\u2013Richardson_bracket:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Pascal's_simplex:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Plu\u0308cker_embedding:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Probabilistic_automaton:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Ricci_curvature:54", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Ring_(mathematics):251", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Ring_(mathematics):252", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Semi-invariant_of_a_quiver:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Sheaf_of_modules:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Simplicial_commutative_ring:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Skorokhod's_representation_theorem:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Skorokhod's_representation_theorem:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Spin_representation:103", "score": 0}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Tachyphylaxis:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Toda_bracket:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Well-structured_transition_system:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-27", "corpus-id": "Zero_divisor:82", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Absolute_value:96", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Analytic_signal:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Artificial_neuron:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Asymptote:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Binary_moment_diagram:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Binomial_coefficient:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Binomial_regression:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Bochner\u2013Riesz_mean:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Bootstrapping_(statistics):23", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Cebeci\u2013Smith_model:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Chebyshev_polynomials:111", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Coalgebra:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Crystal_base:114", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Davenport\u2013Schmidt_theorem:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Degree_diameter_problem:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Discriminant_of_an_algebraic_number_field:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Electromagnetic_reverberation_chamber:77", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Errors-in-variables_models:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Gauss's_lemma_(number_theory):5", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Guard_(computer_science):0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Hinge_loss:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Homogeneous_distribution:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Hydrogen-like_atom:28", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Hydrogen-like_atom:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Integer:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Juggler_sequence:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Lab_color_space:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "LTI_system_theory:109", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "M::M::c_queue:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Marchenko\u2013Pastur_distribution:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "McCarthy_91_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Mean_shift:34", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Necklace_(combinatorics):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Neural_cryptography:12", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Non-analytic_smooth_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Non-analytic_smooth_function:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Noncentral_t-distribution:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Normally_distributed_and_uncorrelated_does_not_imply_independent:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Nowcast_(Air_Quality_Index):1", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Ordered_logit:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Ordered_probit:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Ordinal_regression:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Padua_points:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Perceptron:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Positive_and_negative_parts:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Preference_ranking_organization_method_for_enrichment_evaluation:40", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Preference_ranking_organization_method_for_enrichment_evaluation:43", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Random_variable:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Rate\u2013distortion_theory:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "RA_plot:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Rectangular_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Rectangular_function:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Rectifier_(neural_networks):4", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Reflections_of_signals_on_conducting_lines:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Semi-continuity:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Shannon_wavelet:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Sparse_distributed_memory:11", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Test_functions_for_optimization:90", "score": 1}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Tobit_model:28", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Tobit_model:29", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Tobit_model:33", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Tobit_model:9", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "TSL_color_space:11", "score": 2}
{"query-id": "NTCIR12-MathWiki-28", "corpus-id": "Uniformly_most_powerful_test:43", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "2D_computer_graphics:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Affine_transformation:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Automorphic_factor:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Axiomatic_design:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Barnsley_fern:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Bayesian_programming:107", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Berezinian:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Bidirectional_associative_memory:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Centering_matrix:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Classical_dichotomy:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Common_integrals_in_quantum_field_theory:32", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Commutation_matrix:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Composite_laminates:14", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Corner_transfer_matrix:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Covariance_and_contravariance_of_vectors:49", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Derivations_of_the_Lorentz_transformations:86", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Derivations_of_the_Lorentz_transformations:87", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Derivations_of_the_Lorentz_transformations:89", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Schur_complement:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Dirac_spinor:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Divide-and-conquer_eigenvalue_algorithm:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Eigendecomposition_of_a_matrix:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Eigenvalues_and_eigenvectors:294", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Electrical_element:22", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Electrical_element:23", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Equivalent_impedance_transforms:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Formulas_for_generating_Pythagorean_triples:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Freivalds'_algorithm:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Two-port_network:27", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Impedance_analogy:11", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Interior_reconstruction:36", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Interior_reconstruction:90", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Levinson_recursion:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Linear_belief_function:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Local_inverse:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "LU_decomposition:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Markov_chain:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Mechanical_filter:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Metric_tensor:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Metric_tensor:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Mobility_analogy:11", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Network_analysis_(electrical_circuits):48", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Two-port_network:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Positive-definite_matrix:50", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Projection_(linear_algebra):4", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Pythagorean_triple:45", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Quantum_finite_automata:59", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Quantum_gate:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Rate_equation:104", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Representation_theory_of_finite_groups:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Rotation_(mathematics):11", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Separation_principle:9", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Sliding_mode_control:204", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Symmetrical_components:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "System_of_imprimitivity:29", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Transformation_matrix:30", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Transformation_matrix:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Transmission_Loss_(duct_acoustics):13", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Triangle_center:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Two-port_network:55", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Two-port_network:58", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Unscented_transform:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Weighted_arithmetic_mean:80", "score": 2}
{"query-id": "NTCIR12-MathWiki-29", "corpus-id": "Zero_object_(algebra):10", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Absolute_magnitude:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "AB_magnitude:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Airfoil:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Albertson_conjecture:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Atom_probe:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Attenuation:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Binary_logarithm:80", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Binary_search_algorithm:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Birnbaum\u2013Saunders_distribution:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Bitwise_operation:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Cissoid:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Conformal_geometric_algebra:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Contrast_transfer_function:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Convergence_in_measure:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Convex_conjugate:95", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Copula_(probability_theory):99", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Elias_delta_coding:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Elias_gamma_coding:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Euclidean_division:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Euler\u2013Mascheroni_constant:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Exponentiation_by_squaring:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Flesch\u2013Kincaid_readability_tests:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Floor_and_ceiling_functions:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Force_field_(physics):11", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Gaussian_function:73", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Gauss\u2013Kuzmin_distribution:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Golden_ratio:63", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Golomb_coding:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Hemorheology:49", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Henderson\u2013Hasselbalch_equation:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Identity_(mathematics):11", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Josephus_problem:57", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Least_mean_squares_filter:97", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Legendre_transformation:203", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Lenstra\u2013Lenstra\u2013Lova\u0301sz_lattice_basis_reduction_algorithm:91", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Level_ancestor_problem:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Linear_interpolation:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "List_of_fractals_by_Hausdorff_dimension:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "List_of_fractals_by_Hausdorff_dimension:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "List_of_logarithmic_identities:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Logarithm:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Logarithm:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Luminosity:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Magnetic_circular_dichroism:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "MA_plot:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Metallicity:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "MIDI_Tuning_Standard:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Mirsky's_theorem:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "MQV:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Navier\u2013Stokes_equations:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Nose_cone_design:29", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Pigeonhole_principle:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Polite_number:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Power_(physics):4", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Qualitative_variation:178", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Quantization_(signal_processing):85", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Rodion_Kuzmin:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Rounding:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Self-balancing_binary_search_tree:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Sinc_filter:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Slide_rule:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Sone:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Sound_power:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Sound_pressure:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "State_observer:84", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "State_observer:95", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Steering_law:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Stieltjes_constants:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Superelliptic_curve:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Tournament_(graph_theory):24", "score": 1}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Wilson\u2013Cowan_model:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Word_lists_by_frequency:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-3", "corpus-id": "Z_function:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Bernoulli_polynomials:61", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Blancmange_curve:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Carl_Johan_Malmsten:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Catalan's_constant:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Clausen_function:155", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Closed-form_expression:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Completely_multiplicative_function:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Compound_interest:31", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Compound_Poisson_process:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Converse_nonimplication:157", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Conway's_LUX_method_for_magic_squares:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Conway\u2013Maxwell\u2013Poisson_distribution:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Dirichlet_beta_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Dirichlet_character:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Dirichlet_L-function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Distributed_lag:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Divided_differences:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Draft:List_of_shape_topics_in_various_fields:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Elementary_matrix:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Engel_expansion:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Exponentiation:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Flux_limiter:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Frobenius_method:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Gauss\u2013Kuzmin\u2013Wirsing_operator:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Gauss\u2013Legendre_algorithm:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Generalized_Riemann_hypothesis:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Gru\u0308nwald\u2013Letnikov_derivative:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Hurwitz_zeta_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Hurwitz_zeta_function:60", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Hyperbolic_angle:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Internal_rate_of_return:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Legendre_chi_function:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Lerch_zeta_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "List_of_representations_of_e:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Luby_transform_code:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "LU_decomposition:40", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Minakshisundaram\u2013Pleijel_zeta_function:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Mortgage_yield:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Multiple_zeta_function:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Net_present_value:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Net_present_value:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Ogden_(hyperelastic_model):2", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Power_series:24", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Proof_that_22::7_exceeds_\u03c0:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Ramanujan's_master_theorem:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Rate_of_return:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Rational_motion:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Rational_pricing:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Riemann_zeta_function:117", "score": 2}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Riemann_zeta_function:119", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Selberg_class:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Shimizu_L-function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Sliding_mode_control:254", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Trigamma_function:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Wright_Omega_function:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-30", "corpus-id": "Zipf\u2013Mandelbrot_law:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Abel\u2013Ruffini_theorem:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Elementary_algebra:116", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Algebraic_solution:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Diophantus:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Quintic_function:104", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Bring_radical:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Casus_irreducibilis:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Closed-form_expression:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Completing_the_square:37", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Cubic_function:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Cubic_function:212", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Draft:Leaving_Certificate_Mathematics_Ordinary_Level:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Equation_solving:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Extraneous_and_missing_solutions:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Field_trace:19", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Five_points_determine_a_conic:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Hilbert's_thirteenth_problem:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "History_of_algebra:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Indian_mathematics:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Mathematical_constants_and_functions:94", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Monic_polynomial:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Monic_polynomial:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Monic_polynomial:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Numeric_precision_in_Microsoft_Excel:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Periodic_points_of_complex_quadratic_mappings:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Quartic_function:143", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:11", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Sridhara:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Theorems_and_definitions_in_linear_algebra:144", "score": 1}
{"query-id": "NTCIR12-MathWiki-31", "corpus-id": "Yigu_yanduan:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Binary_heap:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Order_dimension:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Big_O_notation:72", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Clenshaw\u2013Curtis_quadrature:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Compressed_suffix_array:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "David_Shmoys:51", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Discrete_Fourier_transform:44", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Distributed_minimum_spanning_tree:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Domatic_number:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Edmonds'_algorithm:71", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Egyptian_fraction:62", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Ewald_summation:66", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Gift_wrapping_algorithm:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Group_testing:104", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Fu\u0308rer's_algorithm:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Jacobi_symbol:40", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Josephus_problem:83", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "K-means_clustering:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Kendall_rank_correlation_coefficient:18", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Kinetic_sorted_list:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Klee's_measure_problem:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "LCP_array:42", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Longest_common_subsequence_problem:93", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Maximum_disjoint_set:26", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Planarity:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Dynamic_programming:122", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Regular_number:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Routing_and_wavelength_assignment:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Sieve_of_Eratosthenes:49", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Smale's_problems:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Reachability:31", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Tournament_(graph_theory):19", "score": 2}
{"query-id": "NTCIR12-MathWiki-32", "corpus-id": "Zemor's_decoding_algorithm:214", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "*-autonomous_category:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Abel's_summation_formula:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Ambisonics:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Annual_percentage_yield:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Beal's_conjecture:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Bernoulli_number:26", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Braess'_paradox:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Brenke\u2013Chihara_polynomials:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Brownian_model_of_financial_markets:37", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Cayley\u2013Dickson_construction:18", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Characteristic_polynomial:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Closing_(morphology):0", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Collectively_exhaustive_events:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Hermitian_matrix:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Conformastatic_spacetimes:25", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Context-free_language:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Cylinder_(geometry):41", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Deriving_the_Schwarzschild_solution:70", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "De_Morgan's_laws:26", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Difference_polynomials:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Dual_matroid:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Dual_matroid:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Dynamo_theory:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "E7_(mathematics):10", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Fanning_friction_factor:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Formal_concept_analysis:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Free_electron_model:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Affirmative_conclusion_from_a_negative_premise:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Generalized_hypergeometric_function:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Geometric_algebra:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Hurwitz's_theorem_(composition_algebras):66", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Image_derivatives:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Intersection_(set_theory):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Isodynamic_point:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Isodynamic_point:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Jaccard_index:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Jacobson_density_theorem:88", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Logarithm_of_a_matrix:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Logic_redundancy:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Mathematical_morphology:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Moore\u2013Penrose_pseudoinverse:184", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Morphological_skeleton:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Numerical_digit:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Mathematical_morphology:16", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Operator_product_expansion:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Path_integrals_in_polymer_science:68", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "PFD_allowance:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Ramification_group:118", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "RANSAC:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Rapid_shallow_breathing_index:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Rate_of_return:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Reaction_rate:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Ring_of_sets:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Risk_aversion:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Salinon:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Schur\u2013Horn_theorem:102", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Seminormal_subgroup:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Set_(mathematics):0", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Sintering:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Splitting_of_prime_ideals_in_Galois_extensions:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "State-space_representation:85", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Stein's_method:100", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Symbolic_method:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Hurwitz's_theorem_(composition_algebras):16", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Symmetric_difference:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Tangent_lines_to_circles:19", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Thomas_precession:87", "score": 0}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Two-element_Boolean_algebra:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "Union_(set_theory):14", "score": 2}
{"query-id": "NTCIR12-MathWiki-33", "corpus-id": "W_state:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Alcubierre_drive:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Apollonian_circles:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Baker's_theorem:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Baker\u2013Campbell\u2013Hausdorff_formula:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "BKL_singularity:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "BKL_singularity:76", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Braid_group:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Bravais_lattice:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Bresenham's_line_algorithm:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Breusch\u2013Pagan_test:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Brocard_points:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Celestial_coordinate_system:35", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Chemical_thermodynamics:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Chevalley_basis:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Circumconic_and_inconic:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Classical_central-force_problem:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Complex_number:97", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Conway's_LUX_method_for_magic_squares:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Coriolis_effect:45", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Cotton_tensor:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Crystal_system:64", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Cubic_function:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "De_Rham_cohomology:98", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Differential_geometry_of_surfaces:52", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Differential_geometry_of_surfaces:55", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Endogeneity_(econometrics):3", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Epidemic_model:44", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Extended_Kalman_filter:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Fokker\u2013Planck_equation:61", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Formulas_for_generating_Pythagorean_triples:60", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Gauss\u2013Legendre_algorithm:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Gluon_field_strength_tensor:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Gumbel_distribution:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Heat:46", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Smith_chart:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Heun_function:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Higher-dimensional_gamma_matrices:110", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Hyperbolic_law_of_cosines:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Hyperbolic_triangle:25", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Wetting:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Image_impedance:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Inverse_Galois_problem:58", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Jet_bundle:122", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "KPP-type_equation:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Lagrangian_mechanics:101", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Latitude:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Law_of_cosines:71", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Lie_point_symmetry:61", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "List_of_relativistic_equations:59", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "List_of_relativistic_equations:90", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "List_of_rules_of_inference:120", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Mathematical_proof:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Mathematics_of_radio_engineering:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Methods_of_contour_integration:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Propagation_constant:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Newman\u2013Penrose_formalism:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Ordinal_arithmetic:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Ordinal_arithmetic:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Parabola:137", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Parameterized_post-Newtonian_formalism:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Periodic_points_of_complex_quadratic_mappings:92", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Pisot\u2013Vijayaraghavan_number:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Primitive_element_theorem:23", "score": 2}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Principles_of_grid_generation:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Proofs_of_trigonometric_identities:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Pseudo-Zernike_polynomials:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Quantum-optical_spectroscopy:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Racah_W-coefficient:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Recursive_least_squares_filter:100", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Representation_theory_of_the_Lorentz_group:571", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Riemann's_differential_equation:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Riemannian_connection_on_a_surface:81", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Rotation_group_SO(3):169", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Rushbrooke_inequality:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Silhouette_edge:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Sliding_mode_control:254", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Solar_zenith_angle:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Solution_of_triangles:52", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Sophie_Germain:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Spherical_trigonometry:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Spherical_trigonometry:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Stokes_wave:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Tidal_tensor:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Triangle:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Triangle_inequality:46", "score": 0}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Two-port_network:84", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Universal_joint:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Universal_joint:44", "score": 1}
{"query-id": "NTCIR12-MathWiki-34", "corpus-id": "Weyl_scalar:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Abductive_reasoning:81", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Alternatization:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Alternatization:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Alternatization:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Analytic_set:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Argumentation_framework:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Axiom_of_regularity:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Axiom_of_regularity:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Axiom_schema_of_replacement:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Banach_algebra:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Banach_space:112", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Bijection,_injection_and_surjection:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Binary_lambda_calculus:38", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Bounded_quantifier:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "C-minimal_theory:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Clebsch\u2013Gordan_coefficients_for_SU(3):36", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Conditional_expectation:109", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Conditional_probability_distribution:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Conic_section:97", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Construction_of_the_real_numbers:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Constructive_set_theory:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Contour_set:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Decoherence-free_subspaces:80", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Differential_algebra:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Divided_power_structure:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Epsilon-induction:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Finite_model_theory:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "General_frame:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "General_set_theory:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Glossary_of_Lie_algebras:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Graph_algebra:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Heyting_algebra:42", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Ideal_(ring_theory):28", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Implementation_of_mathematics_in_set_theory:116", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Implementation_of_mathematics_in_set_theory:91", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Indefinite_inner_product_space:50", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Pairing_function:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Lambda_calculus_definition:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Lambda_calculus_definition:69", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Lambda_lifting:229", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Let_expression:22", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Mereology:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Morse\u2013Kelley_set_theory:15", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Normed_algebra:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Original_proof_of_Go\u0308del's_completeness_theorem:100", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Peano_axioms:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Pseudo-order:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Russell's_paradox:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Sahlqvist_formula:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Semi-supervised_learning:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Skew_gradient:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Strong_antichain:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "ST_type_theory:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Subadditivity:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Syntactic_monoid:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Talagrand's_concentration_inequality:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Uncertainty_coefficient:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Universal_hashing:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Universal_hashing:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Well-quasi-ordering:98", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Whitehead's_point-free_geometry:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Zermelo\u2013Fraenkel_set_theory:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-35", "corpus-id": "Zermelo\u2013Fraenkel_set_theory:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Abel_transform:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "AB_magnitude:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Accumulation_function:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Alternating_current:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Beer\u2013Lambert_law:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Beam_diameter:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Castigliano's_method:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Centroid:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Cevian:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Characteristic_admittance:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Characteristic_impedance:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Chromatographic_response_function:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Cloud_drop_effective_radius:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Common_integrals_in_quantum_field_theory:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Contraction_(operator_theory):43", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Cylinder_(geometry):16", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Delay_spread:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Dirichlet_eta_function:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Draft:Bock's_Parametrization:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Effective_mass_(spring\u2013mass_system):31", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Electric-field_screening:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Equations_for_a_falling_body:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Euler_spiral:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Feynman\u2013Kac_formula:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Forward_volatility:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Fractional_calculus:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Free_electron_model:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Fresnel_integral:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Fresnel_zone:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Functional_(mathematics):17", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Gabor_wavelet:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Gaussian_integral:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "GEH_statistic:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Generalized_beta_distribution:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Generation_time:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Geodesics_on_an_ellipsoid:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Gini_coefficient:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Integration_using_parametric_derivatives:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Jaccard_index:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Kirchhoff's_law_of_thermal_radiation:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Lambert_W_function:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Lambert_W_function:61", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Landen's_transformation:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Langmuir_probe:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "List_of_electromagnetism_equations:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Littlewood\u2013Paley_theory:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Loewner_differential_equation:43", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Logan_plot:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Lorenz_curve:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Luminous_efficacy:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Material_failure_theory:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Maxwell\u2013Boltzmann_distribution:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Median_(geometry):16", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Meridian_arc:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Methods_of_contour_integration:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Method_of_steepest_descent:92", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Newton's_theorem_of_revolving_orbits:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Novikov's_condition:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Opacity_(optics):17", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Photosynthetically_active_radiation:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Plasma_fusion_preface:154", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Polarity_(international_relations):0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Proof_that_\u03c0_is_irrational:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Pulse_wave_velocity:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Qualitative_variation:110", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Quartic_interaction:58", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Self-focusing:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Small-angle_scattering:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Spectral_concentration_problem:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Spinodal_decomposition:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Surface_of_revolution:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Surface_plasmon_polariton:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Transmission_line:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Trapezoid:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Twin-lead:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Universal_parabolic_constant:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Vibration_of_plates:77", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Wallis_product:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Watson's_lemma:47", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Weight_function:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-36", "corpus-id": "Xbar_and_s_chart:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "1::2_\u2212_1::4_+_1::8_\u2212_1::16_+_\u22ef:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "1::2_\u2212_1::4_+_1::8_\u2212_1::16_+_\u22ef:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "1::4_+_1::16_+_1::64_+_1::256_+_\u22ef:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Algorithmic_inference:45", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Alternating_series:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Ape\u0301ry's_constant:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Approximations_of_\u03c0:203", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Approximations_of_\u03c0:212", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Approximations_of_\u03c0:219", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Bailey\u2013Borwein\u2013Plouffe_formula:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Bernoulli_trial:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Bicentric_quadrilateral:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Biexciton:40", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Binomial_proportion_confidence_interval:68", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Bloom_filter:29", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Cahen's_constant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Centimetre\u2013gram\u2013second_system_of_units:68", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Coiflet:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Color-coding:55", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Convergent_series:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Digamma_function:47", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Randomized_algorithm:33", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Draft:Leaving_Certificate_Mathematics_Ordinary_Level:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Edward_Victor_Appleton:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Egyptian_fraction:57", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Egyptian_Mathematical_Leather_Roll:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Fat_object:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Floor_and_ceiling_functions:84", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Fraction_(mathematics):97", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Fundamental_theorem_of_calculus:68", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Gauss's_continued_fraction:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Generalized_continued_fraction:71", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Genetic_drift:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Goldbach\u2013Euler_theorem:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Gru\u0308neisen_parameter:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Hadamard_code:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Harmonic_series_(mathematics):16", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Indian_mathematics:56", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Indian_mathematics:61", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Inverse_Galois_problem:70", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Karp\u2013Flatt_metric:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Kepler's_laws_of_planetary_motion:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Kerala_school_of_astronomy_and_mathematics:15", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Leibniz_formula_for_\u03c0:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Linkage_disequilibrium:150", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "List_of_formulae_involving_\u03c0:36", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "List_of_formulae_involving_\u03c0:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "List_of_formulae_involving_\u03c0:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Mathematical_constants_and_functions:307", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Mathematical_constants_and_functions:319", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Mathematical_constants_and_functions:388", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Maximum_coverage_problem:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Natural_logarithm_of_2:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Net_run_rate:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Optic_equation:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Overcompleteness:107", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Partial_fraction_decomposition:101", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Phonon_scattering:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Pi:122", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Proof_that_22::7_exceeds_\u03c0:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Random_permutation_statistics:79", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Ratio_estimator:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Riemann_series_theorem:24", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Riemann_series_theorem:32", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Scapegoat_tree:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Schur_test:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Series_(mathematics):57", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Special_values_of_L-functions:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Split-radix_FFT_algorithm:34", "score": 0}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Tukey_lambda_distribution:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Vertical_electrical_sounding:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-37", "corpus-id": "Weierstrass's_elliptic_functions:48", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "(a,b,0)_class_of_distributions:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "(a,b,0)_class_of_distributions:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Alignments_of_random_points:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "An_Essay_towards_solving_a_Problem_in_the_Doctrine_of_Chances:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Associated_Legendre_polynomials:58", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Bean_machine:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Be\u0301zier_curve:20", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Binomial_coefficient:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Binomial_distribution:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Binomial_theorem:62", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Bose\u2013Hubbard_model:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Brownian_motion:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Checking_whether_a_coin_is_fair:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Combination:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Complex_network_zeta_function:77", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Einstein_solid:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Erdo\u030bs\u2013Re\u0301nyi_model:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Esscher_transform:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Field_with_one_element:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Frobenius_endomorphism:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "General_Leibniz_rule:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Genetic_drift:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Hypercube:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Inclusion\u2013exclusion_principle:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Incomplete_information_network_game:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Kelly_criterion:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Kummer's_theorem:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Lady_tasting_tea:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Langmuir_adsorption_model:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Laplace_distribution:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "M::M::\u221e_queue:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Maxwell\u2013Boltzmann_statistics:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Negative_binomial_distribution:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Order_statistic:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Pascal's_triangle:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Pidduck_polynomials:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Poisson_limit_theorem:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Poisson_limit_theorem:8", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Proportional_approval_voting:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Quantum_finance:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Replica_trick:27", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Return_period:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Rodrigues'_formula:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Rule_of_succession:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Schuette\u2013Nesbitt_formula:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Score_(statistics):29", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Statistical_coupling_analysis:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Stirling_numbers_of_the_second_kind:41", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Taylor's_law:80", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Taylor's_theorem:60", "score": 0}
{"query-id": "NTCIR12-MathWiki-38", "corpus-id": "Variance:21", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Anisotropic_Network_Model:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Artin_transfer_(group_theory):1324", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Beam_propagation_method:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Beta_distribution:284", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Birch\u2013Murnaghan_equation_of_state:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Black\u2013Scholes_model:65", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Bridgman's_thermodynamic_equations:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Capital_structure_substitution_theory:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Centering_matrix:6", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Compressibility:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Contact_resistance:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Coomber's_relationship:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Curvilinear_coordinates:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Eigenvalues_and_eigenvectors:374", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Einstein_solid:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Elastic_energy:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Equilibrium_constant:39", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Excess_chemical_potential:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Extent_of_reaction:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Finite_volume_method_for_unsteady_flow:37", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Finite_water-content_vadose_zone_flow_method:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Fisher_information:32", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Frobenius_solution_to_the_hypergeometric_equation:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Gauss\u2013Newton_algorithm:73", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Greeks_(finance):29", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Group_velocity:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Haar_wavelet:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Haar_wavelet:32", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Hadamard_matrix:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Hamiltonian_vector_field:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Harmonic_number:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Heat_capacity:46", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Hermite_number:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Hessian_matrix:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Heterogeneous_random_walk_in_one_dimension:54", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "HSAB_theory:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Internal_energy:48", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Invariant_of_a_binary_form:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Kalman_filter:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Koszul_complex:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Legendre\u2013Clebsch_condition:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Lender_of_last_resort:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Line_element:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Loop_quantum_gravity:218", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Marginalism:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Matrix_(mathematics):44", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Matrix_calculus:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Matrix_calculus:298", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Mean_curvature:33", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Metric_tensor:13", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Multivariate_kernel_density_estimation:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Neutrino_decoupling:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Noncentral_F-distribution:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Orbit_modeling:65", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Hadamard_matrix:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Petri_net:47", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Polar_curve:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Potential_flow:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Pseudo-Hadamard_transform:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Rencontres_numbers:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Ridge_detection:95", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Rogers\u2013Ramanujan_continued_fraction:17", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Strategic_complements:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Strategic_complements:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Symmetry_in_quantum_mechanics:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Table_of_thermodynamic_equations:128", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Table_of_thermodynamic_equations:135", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Thermodynamic_potential:89", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Turbulence_modeling:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Vector_fields_in_cylindrical_and_spherical_coordinates:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Von_Staudt\u2013Clausen_theorem:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Wave_equation:89", "score": 1}
{"query-id": "NTCIR12-MathWiki-39", "corpus-id": "Wirtinger_derivatives:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Acoustic_wave_equation:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Ampe\u0300re's_circuital_law:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Biot\u2013Savart_law:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Coherent_effects_in_semiconductor_optics:44", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Displacement_current:28", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Electromagnetic_field:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Electromagnetic_radiation:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Electromagnetic_radiation:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Electromagnetic_radiation:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Electromagnetic_tensor:9", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Force-free_magnetic_field:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Gauss's_law_for_magnetism:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Laws_of_science:44", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Gravitoelectromagnetism:7", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Heterodyne_detection:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Induction_equation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Inhomogeneous_electromagnetic_wave_equation:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Maxwell's_equations:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Loop_representation_in_gauge_theories_and_quantum_gravity:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Magnetic_field:209", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Magnetic_reconnection:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Maxwell_stress_tensor:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Magnetic_tension_force:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Magnetohydrodynamics:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Mathematical_descriptions_of_the_electromagnetic_field:13", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Maxwell's_equations:150", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Maxwell_stress_tensor:3", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "On_Physical_Lines_of_Force:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Pinch_(plasma_physics):0", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Planck_units:53", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Poynting's_theorem:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Poynting's_theorem:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Slowly_varying_envelope_approximation:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Sommerfeld_expansion:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Time_in_physics:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "TITAN2D:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Vector_Laplacian:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Vector_spherical_harmonics:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-4", "corpus-id": "Weibel_instability:30", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Algorithms_for_calculating_variance:12", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Algorithms_for_calculating_variance:17", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Assortativity:27", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Bessel's_correction:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Bias_of_an_estimator:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Cochran's_Q_test:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Collaborative_filtering:6", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Concordance_correlation_coefficient:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Conjugate_prior:157", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Correlation_and_dependence:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Correlogram:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Degrees_of_freedom_(statistics):15", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Degrees_of_freedom_(statistics):19", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Dimensionless_quantity:30", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Estimation_of_covariance_matrices:27", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Estimation_of_covariance_matrices:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Estimation_of_covariance_matrices:38", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Experimental_uncertainty_analysis:37", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Explained_sum_of_squares:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Fisher_transformation:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Fraction_of_variance_unexplained:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Hotelling's_T-squared_distribution:23", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Hotelling's_T-squared_distribution:33", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Index_of_coincidence:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Intraclass_correlation:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Jarque\u2013Bera_test:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Kuder\u2013Richardson_Formula_20:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Kurtosis:29", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Kurtosis:30", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Multivariate_normal_distribution:101", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Multivariate_normal_distribution:111", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Normal_distribution:122", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Omnibus_test:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Omnibus_test:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Partition_of_sums_of_squares:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Pearson_product-moment_correlation_coefficient:17", "score": 2}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Pivotal_quantity:38", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Point-biserial_correlation_coefficient:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Pooled_variance:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Reciprocity_(network_science):6", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Regression_analysis:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Regression_toward_the_mean:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Sample_mean_and_sample_covariance:11", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Simple_linear_regression:108", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Simple_linear_regression:109", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Standardized_mean_of_a_contrast_variable:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Standard_deviation:20", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Student's_t-test:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Student's_t-test:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Sufficient_statistic:106", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Sufficient_statistic:107", "score": 0}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "Xbar_and_s_chart:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-40", "corpus-id": "YaDICs:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Ape\u0301ry's_constant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Approximations_of_\u03c0:185", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Backhouse's_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Bernstein's_constant:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Continued_fraction:313", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Continued_fraction:317", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Euler's_continued_fraction_formula:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Exponential_function:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "E_(mathematical_constant):154", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "E_(mathematical_constant):157", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Fibonacci_number:51", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Gauss's_continued_fraction:67", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Generalized_continued_fraction:41", "score": 2}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Generalized_continued_fraction:64", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Golden_ratio:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Lieb's_square_ice_constant:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "List_of_formulae_involving_\u03c0:97", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "List_of_formulae_involving_\u03c0:98", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "List_of_formulae_involving_\u03c0:99", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "List_of_representations_of_e:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Mathematical_constants_and_functions:298", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Natural_logarithm_of_2:40", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Pell_number:13", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Pell_number:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Pi:63", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Rational_number:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Silver_ratio:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Singly_and_doubly_even:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Solving_quadratic_equations_with_continued_fractions:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Square_root:116", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Square_root_of_2:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Square_root_of_3:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Square_root_of_5:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "Transcendental_number:9", "score": 2}
{"query-id": "NTCIR12-MathWiki-5", "corpus-id": "William_Brouncker,_2nd_Viscount_Brouncker:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Actinide:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Actinium:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Alpha_decay:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Alpha_process:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Americium:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Autocatalytic_reaction:21", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Berkelium:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Blood_sugar:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Neptunium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Einsteinium:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Einsteinium:14", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Extended_periodic_table:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Exterior_algebra:115", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Fermium:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Geoneutrino:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Greisen\u2013Zatsepin\u2013Kuzmin_limit:3", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Greisen\u2013Zatsepin\u2013Kuzmin_limit:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Induction-recursion_(type_theory):6", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Inverse_beta_decay:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Isotopes_of_beryllium:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Isotopes_of_rutherfordium:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Kostant's_convexity_theorem:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Lawson_criterion:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Light-front_quantization_applications:75", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Neptunium:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Neptunium:2", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Neutral_particle_oscillation:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "NPDGamma_experiment:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Nuclear_forensics:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Oxidative_phosphorylation:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "P-nuclei:18", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Plutonium-239:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Plutonium:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Protactinium:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Regular_embedding:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Rydberg_atom:5", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Scintillator:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Thorium:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Thorium_fuel_cycle:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Thorium_fuel_cycle:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Thorium_fuel_cycle:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Tilting_theory:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Traveling_wave_reactor:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Extended_periodic_table:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Uranium:1", "score": 2}
{"query-id": "NTCIR12-MathWiki-6", "corpus-id": "Linear_subspace:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Abelian_category:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Algebraic_K-theory:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Atiyah_algebroid:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Chern_class:55", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Cohomology:5", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Complex_geometry:9", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Cousin_problems:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Delta-functor:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Derived_category:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Derived_category:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Vector_bundle:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Direct_sum_of_topological_groups:5", "score": 2}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Draft:Exact_couple:35", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Exact_category:26", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Extension_of_a_topological_group:38", "score": 2}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Exterior_algebra:115", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Ext_functor:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Ext_functor:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Ext_functor:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Glossary_of_module_theory:79", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Group_cohomology:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Group_extension:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Group_extension:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Group_extension:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Hilbert_series_and_Hilbert_polynomial:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Hilbert\u2013Poincare\u0301_series:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Homology_(mathematics):47", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "K-space_(functional_analysis):1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Koszul_complex:4", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Length_of_a_module:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Lie_algebra_cohomology:34", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Localizing_subcategory:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Plancherel_measure:4", "score": 0}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Plancherel_measure:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Projective_module:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Rank_of_an_abelian_group:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Regular_category:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Restricted_sumset:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Schanuel's_lemma:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Severi\u2013Brauer_variety:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Sheaf_cohomology:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Sheaf_of_modules:53", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Splitting_lemma:10", "score": 2}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Stable_module_category:16", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Tilting_theory:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-7", "corpus-id": "Toda_bracket:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Absolute_value:96", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Arithmetic_function:47", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Asymptote:10", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Baguenaudier:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Big_O_notation:78", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Binomial_coefficient:19", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Binomial_regression:21", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Binomial_regression:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Carmichael_function:7", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Chebyshev_polynomials:111", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Comparator_applications:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Conjectural_variation:15", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Convex_conjugate:101", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Convex_conjugate:14", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Eigenvalues_and_eigenvectors_of_the_second_derivative:18", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Electromagnetic_reverberation_chamber:77", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Fourier_series:8", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Haar_wavelet:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Heaviside_step_function:2", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Help:Displaying_a_formula:380", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Homogeneous_distribution:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Iterated_logarithm:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Kronecker_delta:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Lab_color_space:1", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Lab_color_space:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Legendre_transformation:75", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "List_of_United_States_presidential_elections_by_Electoral_College_margin:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Logistic_regression:73", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Lorentz_covariance:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "LTI_system_theory:109", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "McCarthy_91_function:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Microcanonical_ensemble:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Models_of_DNA_evolution:80", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Monopsony:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Multiset:32", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Multivariate_probit_model:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Multivariate_probit_model:7", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Non-analytic_smooth_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Nowcast_(Air_Quality_Index):1", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Operator_theory:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Ordered_logit:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Ordered_probit:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Ordinal_regression:21", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Quadratic_integer:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Quaternion:39", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Rectangular_function:0", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Saddlepoint_approximation_method:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Sparse_distributed_memory:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Static_forces_and_virtual-particle_exchange:147", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Step_function:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Superheterodyne_receiver:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Taylor's_theorem:31", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Tobit_model:23", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Tobit_model:28", "score": 2}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Trigonometry_in_Galois_fields:40", "score": 0}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "TSL_color_space:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-8", "corpus-id": "Uniform_integrability:12", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Admittance_parameters:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Antimetric_electrical_network:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Axiomatic_design:0", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Belevitch's_theorem:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Block_matrix:14", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Cramer's_rule:96", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Electrical_element:22", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Equivalent_impedance_transforms:41", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Euclidean_vector:47", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Flow_graph_(mathematics):1", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Two-port_network:27", "score": 2}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "H-infinity_methods_in_control_theory:0", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Haynsworth_inertia_additivity_formula:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Impedance_analogy:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Impedance_parameters:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Interior_reconstruction:90", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Invariant_subspace:28", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Plate_theory:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Linear_independence:19", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "LU_decomposition:9", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Mason's_invariant:1", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Mason's_invariant:2", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Matrix_multiplication:155", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Mechanical_filter:6", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Mobility_analogy:11", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Network_analysis_(electrical_circuits):48", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Neutral_particle_oscillation:74", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Transverse_isotropy:49", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Two-port_network:4", "score": 2}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Reduction_(mathematics):0", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "S-matrix:16", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Scattering_parameters:115", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Scattering_parameters:25", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Space-time_block_coding_based_transmit_diversity:3", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Stress_(mechanics):24", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Stress_resultants:10", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Surface_reconstruction:8", "score": 0}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Two-port_network:86", "score": 1}
{"query-id": "NTCIR12-MathWiki-9", "corpus-id": "Vector_autoregression:5", "score": 0}