Returned 88 matches (100 formulae, 59 docs)
    Lookup 1.774 ms, Re-ranking 446.037 ms
    Found 6405 tuple postings, 3764 formulae, 1739 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
0.0000
20.0000
11.3178
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Two-port_network.html
[ V 1 I 2 ] = [ h 11 h 12 h 21 h 22 ] [ I 1 V 2 ]
[ I 1 V 2 ] = [ g 11 g 12 g 21 g 22 ] [ V 1 I 2 ]
[ a 1 b 1 ] = [ T 11 T 12 T 21 T 22 ] [ b 2 a 2 ]
[ V 1 V 2 ] = [ z 11 z 12 z 21 z 22 ] [ I 1 I 2 ]
[ V 1 V 2 ] = [ z 11 z 12 z 21 z 22 ] [ I 1 I 2 ]
[ b 1 b 2 ] = [ S 11 S 12 S 21 S 22 ] [ a 1 a 2 ]
[ V 1 V 2 V 3 ] = [ Z 11 Z 12 Z 13 Z 21 Z 22 Z 23 Z 31 Z 32 Z 33 ] [ I 1 I 2 I 3 ]
[ I 1 I 2 ] = [ y 11 y 12 y 21 y 22 ] [ V 1 V 2 ]
[ V 2 I 2 ] = [ A B C D ] [ V 1 I 1 ]
[ h 11 h 12 h 21 h 22 ]
[ a 11 a 12 a 21 a 22 ]
[ b 11 b 12 b 21 b 22 ]
[ g 11 g 12 g 21 g 22 ]
[ y 11 y 12 y 21 y 22 ]
[ z 11 z 12 z 21 z 22 ]
[ V 1 I 1 ] = [ A B C D ] [ V 2 - I 2 ]
[ V 2 I 2 ] = [ 1 - R - s C 1 + s C R ] [ V 1 I 1 ]
h 21 = I 2 I 1 | V 2 = 0
h 11 = V 1 I 1 | V 2 = 0
h 22 = I 2 V 2 | I 1 = 0
h 12 = V 1 V 2 | I 1 = 0
Doc 2
1.0000
0.0000
20.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Generator_(circuit_theory).html
[ V 1 I 2 ] = [ h 11 h 12 h 21 h 22 ] [ I 1 V 2 ]

Doc 3
1.0000
0.0000
7.0000
2.8411
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Scattering_parameters.html
( b 1 a 1 ) = ( T 11 T 12 T 21 T 22 ) ( a 2 b 2 )
( a 1 b 1 ) = ( T 11 T 12 T 21 T 22 ) ( b 2 a 2 )
( b 1 b 2 ) = ( S 11 S 12 S 21 S 22 ) ( a 1 a 2 )
Doc 4
0.8411
-2.0000
14.0000
0.8411
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Port_(circuit_theory).html
[ V 1 V 2 ] = [ z 11 z 12 z 21 z 22 ] [ I 1 I 2 ]

Doc 5
0.8411
-2.0000
11.0000
0.8411
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Impedance_parameters.html
( V 1 V 2 ) = ( Z 11 Z 12 Z 21 Z 22 ) ( I 1 I 2 )

Doc 6
0.8103
-23.0000
6.0000
1.9736
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Mason's_invariant.html
[ Z 11 Z 12 Z 21 Z 22 ] = [ n 11 n 12 n 21 n 22 ] [ Z 11 Z 12 Z 21 Z 22 ] [ n 11 n 12 n 21 n 22 ]
[ Z 11 Z 12 Z 21 Z 22 ] = [ Z 11 Z 12 Z 21 Z 22 ] - 1
[ Z 11 Z 12 Z 21 Z 22 ] = [ Z 11 + j x 11 Z 12 + j x 12 Z 21 + j x 21 Z 22 + j x 22 ]
Doc 7
0.7774
-2.0000
11.0000
0.7774
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Admittance_parameters.html
( I 1 I 2 ) = ( Y 11 Y 12 Y 21 Y 22 ) ( V 1 V 2 )

Doc 8
0.7059
-16.0000
11.0000
1.3408
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Space-time_block_coding_based_transmit_diversity.html
[ x 1 x 2 * ] = [ h 1 - h 2 h 2 * h 1 * ] [ S 1 S 2 * ] + [ n 1 n 2 * ]
[ S ^ 1 S ^ 2 * ] = [ h 1 - h 2 h 2 * h 1 * ] - 1 [ x 1 x 2 * ] = 1 h 1 h 1 * + h 2 h 2 * [ h 1 * h 2 - h 2 * h 1 ] [ x 1 x 2 * ]

Doc 9
0.6920
-2.0000
10.0000
0.6920
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 10
0.6920
-2.0000
8.0000
0.6920
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 11
0.6920
-2.0000
8.0000
0.6920
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 12
0.6920
-10.0000
8.0000
0.6920
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Axiomatic_design.html
[ F R 1 F R 2 ] = [ A 11 A 12 A 21 A 22 ] [ D P 1 D P 2 ]

Doc 13
0.6920
-17.0000
8.0000
0.6920
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/H-infinity_methods_in_control_theory.html
[ z v ] = 𝐏 ( s ) [ w u ] = [ P 11 ( s ) P 12 ( s ) P 21 ( s ) P 22 ( s ) ] [ w u ]

Doc 14
0.6337
-18.0000
8.0000
0.6337
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Network_analysis_(electrical_circuits).html
[ V 1 V 0 ] = [ z ( j ω ) 11 z ( j ω ) 12 z ( j ω ) 21 z ( j ω ) 22 ] [ I 1 I 0 ]

Doc 15
0.6124
-4.0000
12.0000
1.0537
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 16
0.5893
0.0000
4.0000
2.1515
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Antimetric_electrical_network.html
[ 𝐒 ] = [ S 11 S 12 S 12 S 11 ]
[ 𝐳 ] = [ z 11 z 12 z 12 z 11 ]
[ 𝐒 ] = [ S 11 S 12 S 12 - S 11 ]
[ 𝐳 ] = [ z 11 z 12 z 12 - z 11 ]

Doc 17
0.5893
-1.0000
6.0000
0.5893
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Belevitch's_theorem.html
𝐒 ( p ) = [ s 11 s 12 s 21 s 22 ]

Doc 18
0.5817
-7.0000
8.0000
0.5817
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Reduction_(mathematics).html
[ K 11 K 12 K 21 K 22 ] [ x 1 x 2 ] = [ F 1 F 2 ]

Doc 19
0.5817
-14.0000
9.0000
0.5817
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Equivalent_impedance_transforms.html
[ V 1 0 ] = [ R 1 + R 2 - R 2 - R 2 R 2 + R 3 ] [ I 1 I 2 ]

Doc 20
0.5607
-11.0000
5.0000
0.5607
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/LU_decomposition.html
[ 4 3 6 3 ] = [ l 11 0 l 21 l 22 ] [ u 11 u 12 0 u 22 ] .

Doc 21
0.4865
-1.0000
5.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Neutral_particle_oscillation.html
M = ( M 11 M 12 M 21 M 22 )

Doc 22
0.4865
-1.0000
5.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Surface_reconstruction.html
G = ( G 11 G 12 G 21 G 22 )

Doc 23
0.4865
-2.0000
6.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Block_matrix.html
𝐏 = [ 𝐏 11 𝐏 12 𝐏 21 𝐏 22 ] .

Doc 24
0.4865
-2.0000
5.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Haynsworth_inertia_additivity_formula.html
H = [ H 11 H 12 H 12 H 22 ]

Doc 25
0.4865
-12.0000
4.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Scale-invariant_feature_transform.html
[ u v ] = [ m 1 m 2 m 3 m 4 ] [ x y ] + [ t x t y ]

Doc 26
0.4865
-13.0000
6.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Inverse-Wishart_distribution.html
𝐀 = [ 𝐀 11 𝐀 12 𝐀 21 𝐀 22 ] , 𝚿 = [ 𝚿 11 𝚿 12 𝚿 21 𝚿 22 ]

Doc 27
0.4865
-13.0000
4.0000
0.8394
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cabibbo–Kobayashi–Maskawa_matrix.html
[ d s ] = [ V u d V u s V c d V c s ] [ d s ] ,
[ d s ] = [ cos θ c sin θ c - sin θ c cos θ c ] [ d s ] ,

Doc 28
0.4865
-14.0000
6.0000
0.8394
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Invariant_subspace.html
T = [ T 11 T 12 T 21 T 22 ] : W W W W ,
T = [ T 11 T 12 0 T 22 ]

Doc 29
0.4865
-15.0000
6.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Plane_stress.html
σ i j = [ σ 11 σ 12 σ 21 σ 22 ] [ σ x τ x y τ y x σ y ]

Doc 30
0.4865
-39.0000
9.0000
0.4865
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Homography_(computer_vision).html
p a = [ x a y a 1 ] , p b = [ w x b w y b w ] , 𝐇 a b = [ h 11 h 12 h 13 h 21 h 22 h 23 h 31 h 32 h 33 ]

Doc 31
0.4350
-24.0000
5.0000
0.4350
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Hückel_method.html
[ H 11 - E S 11 H 12 - E S 12 H 21 - E S 21 H 22 - E S 22 ] × [ c 1 c 2 ] = 0

Doc 32
0.4242
-12.0000
5.0000
2.4806
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Interior_reconstruction.html
[ x 1 y 1 ] = [ A B C D ] - 1 [ f g 1 + g 1 e x ]
[ x 0 y 0 ] = [ A B C D ] - 1 [ f g e x ]
[ x 1 y 1 ] = [ A B C D ] - 1 [ f - f 1 g e x ]
[ 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 y ] = [ A B C D ] - 1 [ f g ]

Doc 33
0.4051
-5.0000
4.0000
1.4111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Local_inverse.html
[ x 0 y 0 ] = [ E F G H ] [ f g ]
[ x 1 y 1 ] = [ E F G H ] [ f - B y 0 g - D y 0 ]
[ f g ] = [ A B C D ] [ x y ]
[ f g ] = [ A B C D ] [ x y ]

Doc 34
0.3836
-7.0000
3.0000
0.3836
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Dehn–Sommerville_equations.html
h ( P ) = ( h 0 , h 1 , , h d )

Doc 35
0.3836
-7.0000
3.0000
0.3836
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/H-vector.html
h ( Δ ) = ( h 0 , h 1 , , h d )

Doc 36
0.3529
-5.0000
4.0000
0.3529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Composite_laminates.html
[ 𝐍 𝐌 ] = [ 𝐀 𝐁 𝐁 𝐃 ] [ ε 0 κ ]

Doc 37
0.3529
-9.0000
4.0000
1.2012
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 0 ] = [ γ δ β α ] [ t v t ] ,
[ t x ] = [ γ δ β α ] [ t x ] ,
[ t - v t ] = [ γ δ β α ] [ t 0 ] ,

Doc 38
0.3529
-11.0000
4.0000
1.3067
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Transformation_matrix.html
[ x y ] = [ cos θ - sin θ sin θ cos θ ] [ x y ]
[ x y ] = [ cos θ sin θ - sin θ cos θ ] [ x y ]
[ x y ] = [ 1 0 k 1 ] [ x y ]
[ x y ] = [ 1 k 0 1 ] [ x y ]

Doc 39
0.3529
-11.0000
4.0000
0.3529
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 40
0.3529
-11.0000
4.0000
0.3529
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 ]

Doc 41
0.3529
-11.0000
4.0000
0.3529
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 42
0.3529
-14.0000
4.0000
0.3529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Separation_principle.html
[ x ˙ e ˙ ] = [ A - B K B K 0 A - L C ] [ x e ] .

Doc 43
0.3529
-28.0000
4.0000
0.3529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Differential_geometry_of_curves.html
[ 𝐞 1 ( t ) 𝐞 2 ( t ) ] = γ ( t ) [ 0 κ ( t ) - κ ( t ) 0 ] [ 𝐞 1 ( t ) 𝐞 2 ( t ) ]

Doc 44
0.3321
-14.0000
6.0000
0.3321
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Stress_resultants.html
[ V 1 V 2 ] = - t / 2 t / 2 [ σ 13 σ 23 ] d x 3 .

Doc 45
0.3175
-3.0000
5.0000
0.3175
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Sliding_mode_control.html
A [ a 11 A 12 A 21 A 22 ]

Doc 46
0.3175
-17.0000
4.0000
0.3175
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Beam_splitter.html
[ E c E d ] = [ r a c t b c t a d r b d ] [ E a E b ] ,

Doc 47
0.3004
-13.0000
4.0000
0.3004
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 48
0.3004
-15.0000
4.0000
0.3004
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Spring_system.html
[ x 2 x 3 ] = [ 2 - 1 - 1 1 ] - 1 [ 1 2 ] = [ 3 5 ]

Doc 49
0.2804
-7.0000
3.0000
0.2804
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Herbert_Scarf.html
h = ( h 1 , h 2 , , h n )

Doc 50
0.2804
-16.0000
4.0000
0.2804
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Hyperbolic_equilibrium_point.html
[ x n + 1 y n + 1 ] = [ 1 1 1 2 ] [ x n y n ] modulo 1

Doc 51
0.2629
-8.0000
0.0000
0.2629
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Spinors_in_three_dimensions.html
X = 2 [ ξ 1 ξ 2 ] [ - ξ 2 ξ 1 ] .

Doc 52
0.2629
-11.0000
4.0000
0.9959
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Hyperelastic_material.html
W ( s y m b o l F ) = W ^ ( I 1 , I 2 )
W = W ( I 1 , I 2 )
W = W ( I ¯ 1 , I ¯ 2 )
W = W ( I 1 )
W = W ( I 1 )

Doc 53
0.2474
-3.0000
4.0000
0.2474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Dynkin_diagram.html
A = [ 2 a 12 a 21 2 ]

Doc 54
0.2474
-8.0000
2.0000
0.2474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Common_integrals_in_quantum_field_theory.html
[ a c c b ] [ u v ] = λ [ u v ] .

Doc 55
0.2286
-2.0000
0.0000
0.2286
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Wagner_model.html
h ( I 1 , I 2 )

Doc 56
0.2286
-12.0000
2.0000
0.2286
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Simplicial_complex.html
( h 0 , h 1 , h 2 , , h d + 1 ) .

Doc 57
0.2069
-9.0000
5.0000
0.2069
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Linear_independence.html
A Λ = [ 1 - 3 1 2 ] [ λ 1 λ 2 ] .

Doc 58
0.1237
-10.0000
3.0000
0.1237
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 59
0.0779
-5.0000
3.0000
0.0779
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Stretched_grid_method.html
I 2 = λ I 1