tangent
Not Supported
μ
(
A
)
=
{
1
if
0
∈
A
0
if
0
∉
A
.
Search
Returned 94 matches (100 formulae, 92 docs)
Lookup 10.902 ms, Re-ranking 255.441 ms
Found 218437 tuple postings, 141602 formulae, 18814 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
μ
(
A
)
=
{
1
if
0
∈
A
0
if
0
∉
A
.
Doc 1
1.0000, 0.0000, 17.0000, 1.0000
testing/wikipedia/v3/07473.html
χ
A
(
x
)
=
{
1
if
x
∈
A
,
0
if
x
∉
A
.
Doc 2
0.7494, -5.0000, 13.0000, 0.7494
testing/wikipedia/v3/02601.html
δ
s
i
(
X
)
=
{
1
if
s
i
∈
X
0
if
s
i
∉
X
Doc 3
0.7494, -6.0000, 10.0000, 0.7494
testing/wikipedia/v3/16046.html
g
(
x
)
=
{
0
if
0
≤
x
<
1
-
α
1
if
1
-
α
≤
x
≤
1
.
Doc 4
0.7241, -12.0000, 7.0000, 0.7241
testing/wikipedia/v3/27591.html
Doc 5
0.7241, -12.0000, 7.0000, 0.7241
testing/wikipedia/v3/02359.html
F
(
x
)
=
{
1
,
if
x
∈
S
0
,
if
x
∉
S
Doc 6
0.6878, -5.0000, 10.0000, 0.6878
testing/wikipedia/v3/02892.html
𝟏
A
(
x
)
=
{
1
if
x
∈
A
,
0
if
x
∉
A
.
Doc 7
0.6878, -6.0000, 13.0000, 0.6878
testing/wikipedia/v3/03830.html
{
x
}
+
{
-
x
}
=
{
0
if
x
∈
ℤ
1
if
x
∉
ℤ
.
Doc 8
0.6878, -7.0000, 8.0000, 1.3360
testing/wikipedia/v3/01714.html
I
(
y
j
)
=
{
0
if
y
j
=
y
L
1
if
y
j
≠
y
L
.
Doc 9
0.6878, -9.0000, 7.0000, 0.6878
testing/wikipedia/v3/12488.html
⌈
x
⌉
+
⌈
-
x
⌉
=
{
0
if
x
∈
ℤ
1
if
x
∉
ℤ
.
Doc 8
0.6878, -7.0000, 8.0000, 1.3360
testing/wikipedia/v3/01714.html
ϕ
(
x
)
=
{
1
if
x
>
x
0
0
if
x
<
x
0
Doc 10
0.6261, -6.0000, 8.0000, 1.7543
testing/wikipedia/v3/21589.html
𝟏
A
(
ω
)
=
{
1
if
ω
∈
A
,
0
if
ω
∉
A
,
Doc 11
0.6261, -7.0000, 12.0000, 0.6261
testing/wikipedia/v3/04814.html
δ
(
a
,
b
)
=
{
1
if
a
=
b
0
if
a
<
b
.
Doc 12
0.6261, -7.0000, 8.0000, 0.6261
testing/wikipedia/v3/02560.html
m
(
A
)
=
{
1
if
A
∈
F
0
if
S
∖
A
∈
F
undefined
otherwise
Doc 13
0.6261, -8.0000, 10.0000, 0.6261
testing/wikipedia/v3/00650.html
F
(
k
;
k
0
)
=
{
1
,
if
k
≥
k
0
0
,
if
k
<
k
0
Doc 14
0.6261, -11.0000, 8.0000, 1.2522
testing/wikipedia/v3/02200.html
f
(
k
;
k
0
)
=
{
1
,
if
k
=
k
0
0
,
if
k
≠
k
0
Doc 14
0.6261, -11.0000, 8.0000, 1.2522
testing/wikipedia/v3/02200.html
e
b
(
b
′
)
=
{
1
if
b
=
b
′
0
otherwise.
Doc 15
0.6018, -5.0000, 7.0000, 0.8105
testing/wikipedia/v3/23409.html
f
(
x
)
=
{
1
if
w
⋅
x
+
b
>
0
0
otherwise
Doc 16
0.6018, -6.0000, 7.0000, 0.6018
testing/wikipedia/v3/02625.html
Π
(
t
)
=
def
{
1
if
|
t
|
<
1
2
,
0
if
|
t
|
>
1
2
.
Doc 17
0.6018, -14.0000, 9.0000, 0.6018
testing/wikipedia/v3/08338.html
𝟏
A
(
x
)
:=
{
1
if
x
∈
A
,
0
if
x
∉
A
.
Doc 18
0.5854, -7.0000, 12.0000, 0.5854
testing/wikipedia/v3/03301.html
δ
x
0
(
A
)
=
{
1
if
x
0
∈
A
0
if
x
0
∉
A
Doc 19
0.5854, -8.0000, 11.0000, 1.1604
testing/wikipedia/v3/01122.html
f
(
x
)
=
{
0
if Goldbach’s conjecture is false
1
if Goldbach’s conjecture is true
Doc 20
0.5751, 0.0000, 4.0000, 0.5751
testing/wikipedia/v3/04263.html
f
(
x
)
=
{
1
if
x
>
0
0
otherwise
Doc 21
0.5751, -3.0000, 7.0000, 0.5751
testing/wikipedia/v3/07817.html
f
(
x
)
=
{
1
,
if
x
is rational
0
,
if
x
is irrational
Doc 22
0.5751, -6.0000, 8.0000, 0.5751
testing/wikipedia/v3/11871.html
H
(
x
)
=
{
1
if
x
≥
0
0
if
x
<
0.
Doc 19
0.5854, -8.0000, 11.0000, 1.1604
testing/wikipedia/v3/01122.html
D
(
t
)
=
{
1
/
m
if
|
t
|
≤
1
0
otherwise
Doc 24
0.5751, -6.0000, 7.0000, 0.5751
testing/wikipedia/v3/21863.html
∑
d
|
n
λ
(
d
)
=
{
1
if
n
is a perfect square,
0
otherwise.
Doc 23
0.5751, -6.0000, 7.0000, 0.5751
testing/wikipedia/v3/02218.html
ϵ
(
X
n
)
=
{
1
if
n
=
0
0
if
n
>
0
Doc 25
0.5751, -7.0000, 8.0000, 0.5751
testing/wikipedia/v3/03879.html
h
(
i
,
x
)
=
{
1
if
program
i
halts on input
x
,
0
otherwise.
Doc 26
0.5751, -7.0000, 6.0000, 0.5751
testing/wikipedia/v3/23653.html
h
(
k
)
=
{
1
,
if
k
≥
0
0
,
if
k
<
0
Doc 27
0.5751, -8.0000, 8.0000, 0.5751
testing/wikipedia/v3/13678.html
ε
(
n
)
=
{
1
,
if
n
=
1
0
,
if
n
>
1
Doc 29
0.5751, -8.0000, 8.0000, 0.5751
testing/wikipedia/v3/00690.html
ε
(
n
)
=
{
1
,
if
n
=
1
0
,
if
n
≠
1
Doc 28
0.5751, -8.0000, 8.0000, 0.5751
testing/wikipedia/v3/10419.html
g
k
(
x
)
=
{
1
if
x
=
a
j
,
j
≤
k
0
otherwise
Doc 30
0.5751, -9.0000, 7.0000, 0.5751
testing/wikipedia/v3/25221.html
∑
d
|
n
μ
(
d
)
=
{
1
if
n
=
1
0
if
n
>
1.
Doc 31
0.5751, -10.0000, 9.0000, 0.5751
testing/wikipedia/v3/00689.html
f
(
x
)
=
g
(
x
)
=
{
0
if
x
≠
0
1
if
x
=
0
Doc 32
0.5751, -10.0000, 6.0000, 1.0894
testing/wikipedia/v3/03635.html
f
(
x
)
=
{
1
-
x
2
if
|
x
|
<
1
0
if
|
x
|
≥
1
Doc 33
0.5751, -11.0000, 8.0000, 0.5751
testing/wikipedia/v3/04437.html
χ
0
(
a
)
=
{
1
if
gcd
(
a
,
n
)
=
1
,
0
if
gcd
(
a
,
n
)
≠
1.
Doc 34
0.5751, -16.0000, 8.0000, 0.5751
testing/wikipedia/v3/00086.html
ϕ
(
x
)
=
{
1
if
x
∈
R
0
if
x
∈
A
Doc 10
0.6261, -6.0000, 8.0000, 1.7543
testing/wikipedia/v3/21589.html
F
(
x
)
=
{
0
if
x
<
μ
1
if
x
≥
μ
Doc 35
0.5641, -5.0000, 6.0000, 0.5641
testing/wikipedia/v3/00697.html
ϕ
(
T
)
=
{
1
if
T
>
t
0
0
if
T
<
t
0
Doc 10
0.6261, -6.0000, 8.0000, 1.7543
testing/wikipedia/v3/21589.html
(
x
2
p
)
=
{
1
if
p
∤
x
0
if
p
∣
x
.
Doc 36
0.5641, -8.0000, 9.0000, 0.5641
testing/wikipedia/v3/00617.html
χ
A
(
x
)
=
{
0
,
if
x
∉
A
1
,
if
x
∈
A
Doc 37
0.5641, -8.0000, 8.0000, 0.5641
testing/wikipedia/v3/04339.html
ρ
(
x
,
y
)
=
{
1
if
x
≠
y
,
0
if
x
=
y
Doc 38
0.5641, -8.0000, 7.0000, 0.5641
testing/wikipedia/v3/01745.html
1
A
(
x
)
=
{
1
if
x
∈
A
0
else
Doc 40
0.5405, -4.0000, 9.0000, 0.5405
testing/wikipedia/v3/15768.html
𝟏
A
(
x
)
=
{
1
if
x
∈
A
0
otherwise
Doc 39
0.5405, -4.0000, 9.0000, 0.5405
testing/wikipedia/v3/01404.html
(
𝕀
A
)
i
=
{
1
if
x
i
∈
A
0
otherwise
Doc 41
0.5405, -5.0000, 9.0000, 0.5405
testing/wikipedia/v3/09848.html
H
(
x
,
y
)
=
{
1
if
x
2
+
y
2
≤
1
0
else
Doc 42
0.5405, -9.0000, 6.0000, 0.5405
testing/wikipedia/v3/07596.html
⟨
e
m
,
e
n
⟩
=
{
1
if
m
=
n
0
if
m
≠
n
.
Doc 43
0.5220, -10.0000, 8.0000, 0.5220
testing/wikipedia/v3/04706.html
⟨
χ
i
,
χ
j
⟩
=
{
0
if
i
≠
j
,
1
if
i
=
j
.
Doc 44
0.5220, -11.0000, 6.0000, 0.5220
testing/wikipedia/v3/15557.html
Doc 45
0.5220, -11.0000, 6.0000, 0.5220
testing/wikipedia/v3/06218.html
Doc 46
0.5220, -11.0000, 6.0000, 0.5220
testing/wikipedia/v3/06960.html
[
P
]
=
{
1
if
P
is true;
0
otherwise.
Doc 47
0.5143, -2.0000, 6.0000, 0.5143
testing/wikipedia/v3/09174.html
f
(
f
(
x
)
)
=
{
1
if
x
≠
0
0
if
x
=
0
Doc 32
0.5751, -10.0000, 6.0000, 1.0894
testing/wikipedia/v3/03635.html
δ
b
a
=
{
1
if
a
=
b
,
0
if
a
≠
b
.
Doc 48
0.5018, -8.0000, 8.0000, 0.5018
testing/wikipedia/v3/05488.html
I
|
X
|
≥
K
=
{
1
if
|
X
|
≥
K
,
0
if
|
X
|
<
K
.
Doc 49
0.5018, -12.0000, 8.0000, 0.5018
testing/wikipedia/v3/16385.html
x
(
t
)
=
{
1
|
t
|
<
1
/
2
0
otherwise
Doc 50
0.4791, -6.0000, 6.0000, 0.4791
testing/wikipedia/v3/12912.html
ϕ
(
t
)
=
{
1
0
≤
t
<
1
,
0
otherwise.
Doc 52
0.4791, -6.0000, 6.0000, 0.4791
testing/wikipedia/v3/01601.html
f
X
(
x
)
=
{
1
0
≤
x
≤
1
0
otherwise
Doc 51
0.4791, -6.0000, 6.0000, 0.4791
testing/wikipedia/v3/21554.html
I
Q
(
x
)
:=
{
1
if
x
is rational
,
0
if
x
is irrational
.
Doc 53
0.4791, -8.0000, 7.0000, 0.4791
testing/wikipedia/v3/05953.html
(
a
0
)
=
{
1
if
a
=
±
1
,
0
otherwise.
Doc 54
0.4534, -8.0000, 7.0000, 0.4534
testing/wikipedia/v3/06302.html
y
=
{
1
if
u
≥
θ
0
if
u
<
θ
Doc 55
0.4390, -5.0000, 7.0000, 0.4390
testing/wikipedia/v3/04200.html
v
i
(
v
j
)
=
δ
j
i
=
{
1
if
i
=
j
0
if
i
≠
j
,
Doc 56
0.4390, -14.0000, 7.0000, 0.4390
testing/wikipedia/v3/07804.html
μ
(
A
)
=
{
(
1
-
1
λ
)
𝟏
0
∈
A
+
ν
(
A
)
,
if
λ
>
1
ν
(
A
)
,
if
0
≤
λ
≤
1
,
Doc 57
0.4390, -27.0000, 9.0000, 0.6477
testing/wikipedia/v3/24898.html
A
u
,
v
=
{
1
if
{u,v}
ϵ
E
0
otherwise
Doc 58
0.4174, -6.0000, 6.0000, 0.4174
testing/wikipedia/v3/21410.html
χ
U
(
x
)
=
{
1
x
∈
U
0
x
∉
U
Doc 59
0.4174, -7.0000, 6.0000, 0.4174
testing/wikipedia/v3/04474.html
G
i
,
j
=
{
1
if
S
i
↔
S
j
0
otherwise
Doc 60
0.4174, -8.0000, 6.0000, 0.4174
testing/wikipedia/v3/27339.html
pred
(
n
)
=
{
0
if
n
=
0
,
n
-
1
otherwise
Doc 61
0.4174, -8.0000, 5.0000, 0.4174
testing/wikipedia/v3/11435.html
1
{
X
≤
𝔼
[
X
]
}
=
{
1
if
X
≤
𝔼
[
X
]
0
else
Doc 62
0.4174, -11.0000, 6.0000, 0.4174
testing/wikipedia/v3/27166.html
∏
(
x
)
:=
{
1
,
if
|
x
|
≤
1
/
2
,
0
if
otherwise
.
Doc 63
0.4174, -12.0000, 7.0000, 0.4174
testing/wikipedia/v3/17367.html
δ
0
=
{
1
if
X
1
=
0
,
0
otherwise,
Doc 64
0.3925, -7.0000, 6.0000, 0.3925
testing/wikipedia/v3/04562.html
I
=
{
1
if
Y
≤
1
/
3
,
0
otherwise
,
Doc 65
0.3925, -8.0000, 6.0000, 0.3925
testing/wikipedia/v3/23305.html
γ
=
{
1
if
p
≠
0
1
/
2
if
p
=
0
Doc 67
0.3925, -9.0000, 6.0000, 0.3925
testing/wikipedia/v3/11862.html
Y
2
=
{
1
if
Y
2
*
>
0
,
0
otherwise
,
Doc 66
0.3925, -9.0000, 6.0000, 0.7850
testing/wikipedia/v3/16017.html
Y
1
=
{
1
if
Y
1
*
>
0
,
0
otherwise
,
Doc 66
0.3925, -9.0000, 6.0000, 0.7850
testing/wikipedia/v3/16017.html
𝐃
i
=
{
1
,
if
L
(
p
i
)
=
0
0
,
otherwise
Doc 68
0.3925, -10.0000, 6.0000, 0.3925
testing/wikipedia/v3/25313.html
t
n
=
{
1
if
m
=
1
mod
4
0
if
m
=
3
mod
4
Doc 69
0.3925, -12.0000, 7.0000, 0.3925
testing/wikipedia/v3/23320.html
a
n
=
{
1
if
n
=
2
k
-
1
,
0
if
n
=
2
k
Doc 70
0.3925, -13.0000, 7.0000, 0.3925
testing/wikipedia/v3/05796.html
Y
=
{
1
if
Y
∗
>
0
i.e.
-
ε
<
X
′
β
,
0
otherwise.
Doc 71
0.3925, -13.0000, 6.0000, 0.3925
testing/wikipedia/v3/08931.html
μ
(
A
)
=
{
|
A
|
if
A
is finite
+
∞
if
A
is infinite
Doc 72
0.3756, -8.0000, 8.0000, 0.3756
testing/wikipedia/v3/02805.html
δ
ξ
(
t
)
=
{
1
:
t
=
ξ
,
0
:
else
.
Doc 73
0.3756, -9.0000, 6.0000, 0.3756
testing/wikipedia/v3/07143.html
𝐈
O
:=
{
1
if
x
>
μ
,
0
else
Doc 74
0.3553, -6.0000, 5.0000, 0.3553
testing/wikipedia/v3/04153.html
δ
x
(
A
)
=
1
A
(
x
)
=
{
0
,
x
∉
A
;
1
,
x
∈
A
.
Doc 75
0.3553, -17.0000, 4.0000, 0.3553
testing/wikipedia/v3/07277.html
μ
(
A
)
=
ζ
(
1
A
)
Doc 76
0.2927, -2.0000, 5.0000, 0.2927
testing/wikipedia/v3/05892.html
𝟏
A
(
x
)
:=
{
1
,
x
∈
A
;
0
,
x
∉
A
.
Doc 77
0.2449, -13.0000, 5.0000, 0.2449
testing/wikipedia/v3/15209.html
μ
(
A
)
=
μ
0
(
A
)
Doc 78
0.2290, -3.0000, 4.0000, 0.2290
testing/wikipedia/v3/18124.html
μ
-
(
A
)
=
μ
(
A
-
1
)
Doc 80
0.2290, -5.0000, 4.0000, 0.2290
testing/wikipedia/v3/06036.html
μ
(
A
)
=
Pr
(
D
∈
A
)
.
Doc 79
0.2290, -5.0000, 4.0000, 0.2290
testing/wikipedia/v3/07500.html
μ
(
g
-
1
A
)
=
μ
(
A
)
Doc 81
0.2290, -5.0000, 3.0000, 0.4580
testing/wikipedia/v3/08345.html
μ
0
(
A
∪
B
)
=
μ
(
A
)
.
Doc 82
0.2290, -6.0000, 4.0000, 0.2290
testing/wikipedia/v3/01427.html
g
-
1
μ
(
A
)
=
μ
(
g
A
)
.
Doc 81
0.2290, -5.0000, 3.0000, 0.4580
testing/wikipedia/v3/08345.html
ℚ
(
A
)
=
g
(
ℙ
(
X
∈
A
)
)
.
Doc 83
0.2290, -7.0000, 3.0000, 0.2290
testing/wikipedia/v3/27586.html
Doc 85
0.2290, -7.0000, 3.0000, 0.2290
testing/wikipedia/v3/13931.html
μ
(
F
-
1
(
A
)
)
=
μ
(
A
)
.
Doc 86
0.2290, -7.0000, 3.0000, 0.2290
testing/wikipedia/v3/15356.html
μ
(
f
-
1
(
A
)
)
=
μ
(
A
)
.
Doc 84
0.2290, -7.0000, 3.0000, 0.2290
testing/wikipedia/v3/15355.html
c
n
=
{
0
s
n
∉
A
,
1
s
n
∈
A
.
Doc 87
0.2290, -12.0000, 3.0000, 0.2290
testing/wikipedia/v3/11562.html
μ
(
A
)
=
0
Doc 88
0.2087, -1.0000, 4.0000, 0.6261
testing/wikipedia/v3/03442.html
μ
(
A
)
=
χ
A
Doc 89
0.2087, -2.0000, 4.0000, 0.2087
testing/wikipedia/v3/16284.html
μ
0
(
A
)
=
+
∞
Doc 90
0.2087, -3.0000, 4.0000, 0.2087
testing/wikipedia/v3/11390.html
K
~
0
(
A
)
=
Pic
A
.
Doc 91
0.2087, -5.0000, 3.0000, 0.2087
testing/wikipedia/v3/05763.html
μ
(
A
)
=
∫
A
f
d
ν
.
Doc 88
0.2087, -1.0000, 4.0000, 0.6261
testing/wikipedia/v3/03442.html
μ
(
T
t
(
A
)
△
A
)
=
0
Doc 92
0.2087, -6.0000, 3.0000, 0.2087
testing/wikipedia/v3/14084.html
μ
(
A
)
=
∫
A
w
(
t
)
d
t
.
Doc 15
0.6018, -5.0000, 7.0000, 0.8105
testing/wikipedia/v3/23409.html
μ
≪
ν
⇔
(
ν
(
A
)
=
0
⇒
μ
(
A
)
=
0
)
.
Doc 88
0.2087, -1.0000, 4.0000, 0.6261
testing/wikipedia/v3/03442.html
μ
M
(
A
)
=
1
M
#
{
λ
j
∈
A
}
,
A
⊂
ℝ
.
Doc 57
0.4390, -27.0000, 9.0000, 0.6477
testing/wikipedia/v3/24898.html