Returned 46 matches (100 formulae, 70 docs)
    Lookup 51.508 ms, Re-ranking 617.406 ms
    Found 318576 tuple postings, 88356 formulae, 17669 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
4.8025
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Interior_reconstruction.html
[ f 1 g 1 ] = [ A B C D ] [ 0 y 0 ]
[ f g ] = [ A B C D ] [ x y ]
[ f g ] = [ A B C D ] [ x y ] .
[ x 0 y 0 ] = [ A B C D ] - 1 [ f g e x ]
[ x y ] = [ A B C D ] - 1 [ f g ]

Doc 2
1.0000
4.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Transformation_matrix.html
[ x y ] = [ 1 0 k 1 ] [ x y ]
[ x y ] = [ 1 k 0 1 ] [ x y ]
[ x y ] = [ cos θ sin θ - sin θ cos θ ] [ x y ]
[ x y ] = [ cos θ - sin θ sin θ cos θ ] [ x y ]

Doc 3
1.0000
3.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rotation_matrix.html
[ x y ] = [ cos θ - sin θ sin θ cos θ ] [ x y ]
Q = [ 0 1 - 1 0 ]
Q = [ a - b b a ]
M = [ 0.936 0.352 0.352 - 0.936 ]

Doc 4
1.0000
3.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Local_inverse.html
[ x 0 y 0 ] = [ E F G H ] [ f g ]
[ f g ] = [ A B C D ] [ x y ]
[ f g ] = [ A B C D ] [ x y ]
Doc 5
1.0000
2.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Electrical_element.html
[ V 1 I 2 ] = [ 0 n - n 0 ] [ I 1 V 2 ]
[ V 1 V 2 ] = [ 0 - r r 0 ] [ I 1 I 2 ]

Doc 6
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Impedance_analogy.html
[ v F ] = [ z 11 z 12 z 21 z 22 ] [ i u ]

Doc 7
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Mobility_analogy.html
[ i u ] = [ y 11 y 12 y 21 y 22 ] [ v F ]

Doc 8
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Two-port_network.html
[ V 1 I 1 ] = [ A B C D ] [ V 2 - I 2 ]

Doc 9
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Barnsley_fern.html
f ( x , y ) = [ 0.00 0.00 0.00 0.16 ] [ x y ]

Doc 10
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Mechanical_filter.html
[ V F ] = [ z 11 z 12 z 21 z 22 ] [ I v ]

Doc 11
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/2D_computer_graphics.html
[ x y ] = [ cos θ - sin θ sin θ cos θ ] [ x y ]

Doc 12
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Rotation_(mathematics).html
[ x y ] = [ cos θ - sin θ sin θ cos θ ] [ x y ]

Doc 13
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Composite_laminates.html
[ 𝐍 𝐌 ] = [ 𝐀 𝐁 𝐁 𝐃 ] [ ε 0 κ ]

Doc 14
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Transmission_Loss_(duct_acoustics).html
[ p ^ i q ^ i ] = [ A B C D ] [ p ^ o q ^ o ]

Doc 15
0.9649
3.8392
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Derivations_of_the_Lorentz_transformations.html
[ t x ] = [ γ δ - v γ γ ] [ t x ] .
[ t - v t ] = [ γ δ β α ] [ t 0 ] ,
[ t 0 ] = [ γ δ β α ] [ t v t ] ,
[ t x ] = [ γ δ β α ] [ t x ] ,

Doc 16
0.9618
1.7147
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Linear_independence.html
A Λ = [ 1 - 3 1 2 ] [ λ 1 λ 2 ] .
A = [ 1 - 3 1 2 ] .

Doc 17
0.7857
3.1429
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Unscented_transform.html
M U T = [ 1.823 0.043 0.043 0.012 ]
M U T = [ 2.00 0.0443 0.0443 0.0104 ]
M = [ 1.44 0 0 2.89 ]
M 1 / 2 = [ 1.2 0 0 1.7 ]

Doc 18
0.7857
2.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Quantum_finite_automata.html
P = [ 1 0 0 0 ]
U 0 = [ 0 1 1 0 ]
U 1 = [ 1 0 0 1 ]
Doc 19
0.7857
2.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Kalman_filter.html
𝐏 0 0 = [ 0 0 0 0 ]
𝐏 0 0 = [ L 0 0 L ]
𝐅 = [ 1 Δ t 0 1 ]
Doc 20
0.7857
2.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Positive-definite_matrix.html
I = [ 1 0 0 1 ]
M = [ A B C D ]
N = [ 1 2 2 1 ]
Doc 21
0.7857
2.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Quantum_gate.html
X = [ 0 1 1 0 ]
Y = [ 0 - i i 0 ]
Z = [ 1 0 0 - 1 ]
Doc 22
0.7857
2.3188
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Supermatrix.html
X = [ A B C D ]
X = [ A B C D ]
X π = [ D C B A ] .
Doc 23
0.7857
2.0213
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Common_integrals_in_quantum_field_theory.html
A = [ 2 1 1 1 ]
A = [ a c c b ]
[ a c c b ] [ u v ] = λ [ u v ] .
Doc 24
0.7857
1.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Loewner_order.html
A = [ 1 0 0 0 ]
B = [ 0 0 0 1 ]

Doc 25
0.7857
1.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Representation_theory_of_finite_groups.html
n = [ 0 1 1 0 ]
m = [ - 1 0 0 1 ]

Doc 26
0.7857
1.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Quantum_teleportation.html
σ 1 = [ 0 1 1 0 ]
σ 3 = [ 1 0 0 - 1 ]

Doc 27
0.7857
1.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Berezinian.html
X = [ A 0 0 D ]
X = [ A B C D ]

Doc 28
0.7857
1.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Superdense_coding.html
X = [ 0 1 1 0 ]
Z = [ 1 0 0 - 1 ]

Doc 29
0.7857
1.5315
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Positive_element.html
A = [ a b c d ]
A = [ 1 1 1 1 ] .

Doc 30
0.7857
1.5315
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Subnormal_operator.html
N = [ A B 0 C ]
Q = [ P 0 0 P ] .

Doc 31
0.7857
1.5315
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Eigenvalues_and_eigenvectors.html
A = [ 4 1 6 3 ]
A = [ 2 1 1 2 ] .

Doc 32
0.7857
1.3263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pythagorean_triple.html
A = [ α β γ δ ]
[ m - v n u ] [ 1 0 ] = [ m n ]

Doc 33
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Six_Energies_-_Symmetry_and_Spaces.html
M = [ - 1 1 0 1 ]

Doc 34
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hamiltonian_matrix.html
A = [ a b c d ]

Doc 35
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Pseudo-Hadamard_transform.html
H 1 = [ 2 1 1 1 ]

Doc 36
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Examples_of_Markov_chains.html
P = [ 0.9 0.1 0.5 0.5 ]

Doc 37
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Dirac_spinor.html
γ 0 = [ 0 1 1 0 ]

Doc 38
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Filter_bank.html
D 1 = [ 2 0 0 1 ]

Doc 39
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Eigendecomposition_of_a_matrix.html
𝐀 = [ 1 0 1 3 ]

Doc 40
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Bid–ask_matrix.html
Π = [ 1 x y 1 ]

Doc 41
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Schur_complement.html
M = [ A B C D ]

Doc 42
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Automorphic_factor.html
γ = [ a b c d ]

Doc 43
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Commutation_matrix.html
𝐌 = [ a b c d ]

Doc 44
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Classical_dichotomy.html
𝐉 = [ A 0 B C ]

Doc 45
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/G-module.html
g = [ α β γ δ ]

Doc 46
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Hadamard's_maximal_determinant_problem.html
R = [ W X Y Z ]

Doc 47
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Vibration.html
[ M ] = [ 1 0 0 1 ]

Doc 48
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Lorentz_group.html
P 4 = [ 1 α 0 1 ]

Doc 49
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Nilpotent_matrix.html
M = [ 0 1 0 0 ]

Doc 50
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Matrix_(mathematics).html
𝐀 = [ a c b d ]

Doc 51
0.7857
0.7857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Gyrator.html
S = [ 0 - 1 1 0 ]

Doc 52
0.7529
0.7529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Discrete_phase-type_distribution.html
P = [ T 𝐓 0 𝟎 1 ] ,

Doc 53
0.7489
0.7489
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Multivariate_kernel_density_estimation.html
H ^ PI = [ 0.052 0.510 0.510 8.882 ] .

Doc 54
0.7474
1.4948
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Parametric_surface.html
F 1 = [ E F F G ] .
F 2 = [ L M M N ] .

Doc 55
0.7474
0.7474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Screw_theory.html
[ Π ] = [ 0 I I 0 ] ,

Doc 56
0.7458
1.4915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Diagonalizable_matrix.html
C = [ 0 1 0 0 ] .
Q = [ 1 i i 1 ] ,

Doc 57
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Indexed_family.html
A = [ 1 1 1 1 ] .

Doc 58
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Frobenius_covariant.html
A = [ 1 3 4 2 ] .

Doc 59
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Grassmann_integral.html
J = [ A B C D ] .

Doc 60
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Matrix_norm.html
A = [ 0 1 0 0 ] ,

Doc 61
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Projection_(linear_algebra).html
P = [ 0 0 α 1 ] .

Doc 62
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Metric_tensor.html
g = [ 1 0 0 1 ] .

Doc 63
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Jordan_normal_form.html
A = [ 1 1 ε 1 ] .

Doc 64
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Eigenvalue_algorithm.html
A = [ a b c d ] ,

Doc 65
0.7458
0.7458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Sylvester's_formula.html
A = [ 1 3 4 2 ] .

Doc 66
0.6494
0.6494
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Weighted_arithmetic_mean.html
= [ 0.9901 0 0 0.9901 ] [ 1 1 ] = [ 0.9901 0.9901 ]

Doc 67
0.6415
0.6415
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Time–frequency_analysis.html
[ a b c d ] [ x y ] .

Doc 68
0.5405
0.5405
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Polyharmonic_spline.html
[ 𝐀 𝐕 T 𝐕 𝟎 ] [ 𝐰 𝐯 ] = [ 𝐲 𝟎 ]

Doc 69
0.5128
0.5128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Givens_rotation.html
[ c - s s c ] [ a b ] = [ r 0 ] .

Doc 70
0.5063
0.5063
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Quadratic_programming.html
[ Q E T E 0 ] [ 𝐱 λ ] = [ - 𝐜 𝐝 ]