tangent
Not Supported
*1*
x
2
+
*2*
x
+
*3*
=
0
Search
Returned 60 matches (100 formulae, 87 docs)
Lookup 177.891 ms, Re-ranking 404.718 ms
Found 796441 tuple postings, 125360 formulae, 20414 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
1.0000
7.6143
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Quadratic_equation.html
a
x
2
+
b
x
+
c
=
0
a
x
2
+
b
x
+
c
=
0
4.16130
x
2
+
9.15933
x
-
11.4207
=
0
a
x
2
+
b
x
+
c
=
0.
x
2
+
p
x
+
q
=
0
,
a
x
2
+
b
x
+
c
a
x
2
+
b
x
±
c
=
0
,
x
2
+
b
x
+
c
p
x
+
q
=
0
r
x
+
s
=
0
Doc 2
1.0000
6.3064
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Monic_polynomial.html
2
x
2
+
3
x
+
1
=
0
2
x
2
+
3
x
+
1
=
0
a
x
2
+
b
x
+
c
=
0
x
2
+
5
x
+
6
=
0
x
2
+
7
x
+
8
=
0
x
2
+
p
x
+
q
=
0
x
2
+
3
2
x
+
1
2
=
0.
Doc 3
1.0000
5.0142
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bring_radical.html
x
5
+
c
2
x
2
+
c
1
x
+
c
0
=
0
x
5
+
d
1
x
+
d
0
=
0
x
5
+
d
1
x
+
d
0
=
0
x
5
+
x
+
a
=
0
x
5
-
x
+
a
=
0
x
5
-
x
+
a
=
0
x
N
-
x
+
t
=
0
Doc 4
1.0000
4.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Cubic_function.html
a
x
3
+
b
x
2
+
c
x
+
d
=
0
a
x
3
+
b
x
2
+
c
x
+
d
=
0
x
3
+
b
x
2
+
c
x
+
d
=
0
x
3
+
b
x
2
+
c
x
+
d
=
0
Doc 5
1.0000
3.0488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Elementary_algebra.html
a
x
2
+
b
x
+
c
=
0
x
2
+
p
x
+
q
=
0
x
2
+
3
x
-
10
=
0
,
x
2
+
x
+
1
=
0
Doc 6
1.0000
2.5238
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Quadratic_function.html
a
x
2
+
b
x
+
c
=
0
a
x
2
+
b
x
+
c
,
a
x
2
+
b
x
+
c
Doc 7
1.0000
2.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Sridhara.html
a
x
2
+
b
x
+
c
=
0
a
x
2
+
b
x
+
c
=
0
Doc 8
1.0000
1.8966
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Algebra.html
a
x
2
+
b
x
+
c
=
0
a
x
2
+
b
x
+
c
=
0
,
Doc 9
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Help:Displaying_a_formula.html
a
x
2
+
b
x
+
c
=
0
Doc 10
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Periodic_points_of_complex_quadratic_mappings.html
A
x
2
+
B
x
+
C
=
0
Doc 11
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Loss_of_significance.html
a
x
2
+
b
x
+
c
=
0
Doc 12
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Quartic_function.html
x
4
+
p
x
2
+
q
x
+
r
=
0
Doc 13
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Algebraic_solution.html
a
x
2
+
b
x
+
c
=
0
Doc 14
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Casus_irreducibilis.html
a
x
3
+
b
x
2
+
c
x
+
d
=
0
Doc 15
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Periodic_continued_fraction.html
a
x
2
+
b
x
+
c
=
0
Doc 16
0.9487
0.9487
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Gerolamo_Cardano.html
a
x
3
+
b
x
+
c
=
0
Doc 17
0.9250
1.6869
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Variable_(mathematics).html
a
x
3
+
b
x
2
+
c
x
+
d
=
0
,
a
x
2
+
b
x
+
c
,
Doc 18
0.8966
3.1964
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Solving_quadratic_equations_with_continued_fractions.html
a
x
2
+
b
x
+
c
=
0
,
x
2
+
b
x
+
c
=
0
x
2
+
b
x
+
c
=
0
x
2
+
b
x
+
c
=
0
(
b
≠
0
)
Doc 19
0.8966
0.8966
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Portal:Algebra::Selected_article::4.html
a
x
2
+
b
x
+
c
=
0
,
Doc 20
0.8966
0.8966
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Closed-form_expression.html
a
x
2
+
b
x
+
c
=
0
,
Doc 21
0.8890
0.8890
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Quadric.html
x
Q
x
T
+
P
x
T
+
R
=
0
Doc 22
0.8696
1.7391
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/History_of_algebra.html
x
2
+
p
x
+
q
=
0
x
2
+
p
x
+
q
=
0
Doc 23
0.8696
1.4514
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Extraneous_and_missing_solutions.html
x
2
+
4
x
+
4
=
0
2
x
+
4
=
0
Doc 24
0.8696
0.8696
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Leaving_Certificate_Mathematics_Ordinary_Level.html
x
2
+
2
x
+
5
=
0
Doc 25
0.8406
2.1272
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Quintic_function.html
x
5
+
a
x
+
b
=
0
x
5
+
a
x
+
b
=
0
,
x
5
+
a
x
2
+
b
Doc 26
0.8406
0.8406
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Erland_Samuel_Bring.html
x
5
+
p
x
+
q
=
0
Doc 27
0.8221
1.5840
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Algebraic_number.html
8
x
3
-
4
x
2
-
4
x
+
1
=
0
a
x
2
+
b
x
+
c
Doc 28
0.8221
0.8221
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Abū_al-Ḥasan_ibn_ʿAlī_al-Qalaṣādī.html
2
x
3
+
3
x
2
-
4
x
+
5
=
0
Doc 29
0.8221
0.8221
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Rational_root_theorem.html
3
x
3
-
5
x
2
+
5
x
-
2
=
0
Doc 30
0.8221
0.8221
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Calabi_triangle.html
2
x
3
-
2
x
2
-
3
x
+
2
=
0
Doc 31
0.8076
0.8076
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cyclonic_separation.html
x
′′
+
c
1
x
′
+
c
2
=
0
Doc 32
0.7949
2.2545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Quadratic_formula.html
a
x
2
+
b
x
+
c
=
0.
a
x
2
+
b
x
+
c
x
2
+
b
a
x
+
c
a
=
0.
Doc 33
0.7949
1.4937
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Rod_calculus.html
-
x
2
-
680
x
+
96000
=
0
-
x
4
+
15245
x
2
-
6262506.25
=
0
Doc 34
0.7949
0.7949
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Ceyuan_haijing.html
-
x
2
-
680
x
+
96000
=
0
Doc 35
0.7949
0.7949
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Numeric_precision_in_Microsoft_Excel.html
a
x
2
+
b
x
+
c
=
0 .
Doc 36
0.7949
0.7949
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Polynomial.html
3
x
2
+
4
x
-
5
=
0
Doc 37
0.7945
0.7945
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Jigu_Suanjing.html
x
4
+
p
x
2
+
q
=
0
Doc 38
0.7792
5.0411
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Completing_the_square.html
x
2
+
6
x
+
5
=
0
,
3
x
2
+
12
x
+
27
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
x
2
+
10
x
+
28.
x
2
+
6
x
+
11
Doc 39
0.7752
0.7752
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Line_coordinates.html
l
1
x
+
m
1
y
+
1
=
0
Doc 40
0.7686
1.4682
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Distance_between_two_straight_lines.html
a
x
+
b
y
+
c
1
=
0
a
x
+
b
y
+
c
2
=
0
,
Doc 41
0.7686
1.4682
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Parallel_(geometry).html
a
x
+
b
y
+
c
1
=
0
a
x
+
b
y
+
c
2
=
0
,
Doc 42
0.7632
1.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Pole_and_polar.html
D
x
+
E
y
+
F
=
0
D
x
+
E
y
+
F
=
0
Doc 43
0.7632
1.4455
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Rational_trigonometry.html
a
x
+
b
y
+
c
=
0
a
x
+
b
y
+
c
=
0
,
Doc 44
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Hyperbola.html
E
x
+
F
y
+
G
=
0
Doc 45
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Parabola.html
a
x
+
b
y
+
c
=
0
Doc 46
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Slope.html
a
x
+
b
y
+
c
=
0
Doc 47
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Five_points_determine_a_conic.html
D
x
+
E
y
+
F
=
0
Doc 48
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Asymptote.html
a
x
+
b
y
+
c
=
0
Doc 49
0.7632
0.7632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Möbius_plane.html
a
x
+
b
y
+
c
=
0
Doc 50
0.7619
3.8551
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Palindromic_polynomial.html
(
x
+
1
)
2
=
x
2
+
2
x
+
1
4
x
2
+
4
x
+
1
x
2
+
3
x
+
1
x
2
+
x
+
1
=
0
x
2
-
x
+
1
=
0
x
4
+
x
2
+
1
=
0
Doc 51
0.7619
3.0476
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Discriminant.html
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Doc 52
0.7619
2.7381
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Yigu_yanduan.html
-
0.96
x
2
+
56.4
x
+
1444
-
0.96
x
2
+
56.4
x
+
1444
x
2
+
76
x
+
1444
x
2
+
76
x
+
1444
Doc 53
0.7619
2.2857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Factorization.html
6
x
2
+
13
x
+
6.
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Doc 54
0.7619
2.1140
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Euler_substitution.html
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Doc 55
0.7619
1.5238
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/MathML.html
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Doc 56
0.7619
1.4380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Integration_by_reduction_formulae.html
a
x
2
+
b
x
+
c
a
x
2
+
b
x
+
c
Doc 57
0.7619
1.3437
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Seki_Takakazu.html
a
x
2
+
b
x
+
c
.
a
x
+
b
=
0
Doc 58
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Constant_(mathematics).html
a
x
2
+
b
x
+
c
,
Doc 59
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Coefficient.html
a
x
2
+
b
x
+
c
Doc 60
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/GEORGE_(programming_language).html
a
x
2
+
b
x
+
c
Doc 61
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Irreducible_polynomial.html
a
x
2
+
b
x
+
c
Doc 62
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Constant_term.html
a
x
2
+
b
x
+
c
,
Doc 63
0.7619
0.7619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bode_plot.html
a
x
2
+
b
x
+
c
Doc 64
0.7532
1.3247
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Nested_radical.html
x
3
+
p
x
+
q
=
0
,
x
3
-
7
x
+
6
=
0
,
Doc 65
0.7470
0.7470
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Elliptic_partial_differential_equation.html
A
x
2
+
C
y
2
+
⋯
=
0
Doc 66
0.7405
0.7405
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Number_theory.html
x
5
+
(
11
/
2
)
x
3
-
7
x
2
+
9
=
0
Doc 67
0.7213
0.7213
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Digital_filter.html
a
x
+
b
x
+
c
Doc 68
0.6988
0.6988
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Mathematical_constants_and_functions.html
:
x
4
-
4
x
2
+
2
=
0
Doc 69
0.6824
0.6824
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Tangent_lines_to_circles.html
a
x
+
b
y
+
c
=
0
,
Doc 70
0.6824
0.6824
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Linear_equation.html
a
x
+
b
y
+
c
=
0
,
Doc 71
0.6667
1.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Distinct.html
x
2
-
2
x
+
1
=
0
x
2
-
3
x
+
2
=
0
Doc 72
0.6667
0.6667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Lucas_sequence.html
x
2
-
P
x
+
Q
=
0
Doc 73
0.6632
0.6632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Wiener's_attack.html
x
2
-
(
618
)
x
+
90581
=
0
Doc 74
0.6500
2.4598
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Abel–Ruffini_theorem.html
a
x
2
+
b
x
+
c
=
0
,
a
≠
0
x
5
-
x
4
-
x
+
1
=
0
x
5
-
x
+
1
=
0
x
5
-
x
+
1
=
0
Doc 75
0.6377
0.6377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Equation.html
x
5
-
3
x
+
1
=
0
Doc 76
0.6377
0.6377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Algebraic_equation.html
x
5
-
3
x
+
1
=
0
Doc 77
0.6154
2.3444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Jade_Mirror_of_the_Four_Unknowns.html
4
x
2
-
7
x
-
686
=
0
8
x
+
4
x
2
=
0
-
2
y
+
x
+
z
=
0
2
x
2
+
x
3
=
0
Doc 78
0.6154
0.6154
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/List_of_NP-complete_problems.html
A
x
2
+
B
y
-
C
=
0
Doc 79
0.6071
1.8214
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bairstow's_method.html
x
2
+
u
x
+
v
x
2
+
u
x
+
v
x
2
+
u
x
+
v
Doc 80
0.6071
0.6071
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Hurwitz_polynomial.html
x
2
+
2
x
+
1.
Doc 81
0.6071
0.6071
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Factor_theorem.html
x
2
+
6
x
+
2
Doc 82
0.5818
0.5818
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Poincaré–Lindstedt_method.html
x
¨
+
x
+
ε
x
3
=
0
Doc 83
0.5818
0.5818
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Eigenvalues_and_eigenvectors.html
3
x
+
y
=
0
Doc 84
0.5457
0.5457
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Zero-product_property.html
x
3
+
3
x
2
+
2
x
Doc 85
0.4400
0.8800
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Quasiregular_element.html
x
+
y
+
x
y
=
0
x
+
y
-
x
y
=
0
Doc 86
0.4332
0.8664
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Degenerate_conic.html
x
2
+
y
2
=
0
x
2
+
y
2
=
0
Doc 87
0.4332
0.4332
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Absolutely_irreducible.html
x
2
+
y
2
=
0