Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

Dataset card Data Studio Files
xet
 Community
image
imagewidth (px)
26
336
latex
stringlengths
2
482
split
stringclasses
4 values
\lim _ { n \rightarrow \infty } \frac { n ! } { \sqrt { 2 \pi n } ( \frac { n } { e } ) } = 1
train
C + q y
2019
\sum _ { i = 0 } ^ { \infty } c \cdot a _ { i } = c \cdot \sum _ { i = 0 } ^ { \infty } a _ { i }
train
0 = ( 0 , 0 , \ldots , 0 )
train
( \sin ( x ) ) ^ { 2 } + ( \cos ( x ) ) ^ { 2 }
2014
\sin ( \frac { 2 \pi k } { p } )
2016
\lim _ { x \rightarrow c } f ( x ) = f ( c )
train
- 0 . 4 \gamma
train
\log _ { u } g
2014
- \int S d w
train
- a ^ { n } = - a \times a \times a \times \ldots \times a
train
- \int A d V
train
\frac { 8 9 9 } { 5 2 8 }
2019
0 \leq m \leq \frac { p + 1 } { 2 }
2016
A A ^ { T } = A ^ { T } A
2014
- v
train
\log _ { b } ( b ) = 1
train
\sin x + \sin y = 2 \sin ( \frac { x + y } { 2 } ) \cos ( \frac { x - y } { 2 } )
train
( z ^ { \frac { n } { 2 } } + y ^ { \frac { n } { 2 } } ) ( z ^ { \frac { n } { 2 } } - y ^ { \frac { n } { 2 } } ) = x
train
\sum _ { n = 0 } ^ { \infty } f _ { n } ( x )
train
( 6 0 6 )
train
- \sqrt { 2 + \sqrt { 2 } }
2016
9 \times 9
2019
\sum _ { E \geq B } p
train
z = \cos { 2 x }
2016
1 + 1 2 + 1 2 + 2 + 1 8 + 1 2 + 6 = 6 3
2019
\frac { p } { \sqrt { o - d + 4 } }
train
\cos 2
train
\int T r
2019
- A c
train
a x + b < c
train
\sqrt { \frac { 1 } { n } \sum _ { k = 1 } ^ { n } ( a _ { k } ) ^ { 2 } } \geq \frac { 1 } { n } \sum _ { k = 1 } ^ { n } a _ { k }
train
\sqrt { C _ { n } }
2014
( 1 9 3 - ( 1 9 7 \times 1 5 3 ) ) \times 7 7 \neq - 6 7 5 3 4
train
v _ { c } = v _ { c - 1 } ( \frac { r - c } { c } )
train
\cdots + p g
train
\theta = \theta _ { 1 } \pm \theta _ { 2 }
train
k ^ { 3 } + 1 4 k ^ { 2 } - 1 3 2 k + 1 7 8 9
train
\lim _ { z \rightarrow z _ { 0 } } x ( z ) = x _ { 1 } + \ldots + x _ { n }
2016
\lim \sqrt { x }
2019
x ^ { \frac { a } { b } } = \sqrt [ b ] { x ^ { a } } = \sqrt [ b ] { x } ^ { a }
2014
\lim _ { x \rightarrow - 1 } \frac { x ^ { 3 } + 1 } { x + 1 }
train
( x ^ { 3 } - x ^ { 2 } - x ) ( 2 x - 7 )
train
k < z
train
\sum v + f
train
u ^ { n + 1 } = \cos { r }
2019
\sin ( \theta )
2019
i = 0
train
\frac { \sin \theta + \cos \theta + \tan \theta } { x + y + z }
train
\frac { 1 } { n ^ { 2 } } \leq \frac { 1 } { n - 1 } - \frac { 1 } { n }
train
\frac { x - 1 0 } { 1 1 - 1 0 } = \frac { 2 2 - 2 0 , 6 } { 2 2 , 6 - 2 0 , 6 }
train
x ^ { 2 M } + x ^ { M - 1 }
2016
2
train
a + ( - b ) = ( - b ) + a
2014
\sqrt [ 3 ] { ( 2 ) ( 9 ) ( 1 2 ) } = \sqrt [ 3 ] { 2 1 6 } = 6
2014
k ^ { 3 } + 1 4 k ^ { 2 } - 1 3 2 k + 1 7 8 9
train
\cos \theta = \frac { x } { \sqrt { x ^ { 2 } + y ^ { 2 } } }
train
1 7 0 \pm 8 \times 1 0 9
train
\frac { b ^ { 2 } c ^ { 2 } - 4 b ^ { 3 } d - 4 a c ^ { 3 } + 1 8 a b c d - 2 7 a ^ { 2 } d ^ { 2 } } { a ^ { 4 } }
train
8 \times 8 \times 2 8
2016
f ( x _ { 1 } ) \leq f ( x _ { 2 } )
train
\sigma
train
8 9 + 2 7 \leq 1 1 6
train
H
train
[ \sum T ]
train
\lim _ { n \rightarrow + \infty } B _ { n } = I
2016
x _ { 1 } \times x _ { 2 } \times x _ { 3 } \times x _ { 4 } = X
train
F ( x ) = x ( 1 + \frac { x } { a } )
2019
\int d _ { X } = \int g t d t
2014
2 ^ { m ^ { p } }
train
1 + t g ^ { 2 } y = \frac { 1 } { \cos ^ { 2 } y }
train
\sum ( n + a ) ^ { - s }
2016
u t
train
3 7
train
t
train
\int \limits _ { a } ^ { b } f ( x ) d x = F ( b ) - F ( a )
train
\gamma = \pi - \alpha - \beta
train
\lim _ { n \rightarrow \infty } \frac { n ! } { \sqrt { 2 \pi n } ( \frac { n } { e } ) } = 1
train
7 0 ^ { o }
2014
\frac { 5 } { 4 }
2019
( 1 + x ) ^ { r } \geq 1 + r x
train
\cdots - [ d ]
train
- v - \sqrt { z B } ^ { t } i _ { n q k }
train
j
train
[ b _ { 1 } ] \times [ b _ { 2 } ] \times [ b _ { 3 } ]
2019
\frac { 1 } { r ^ { 2 } } = \frac { 1 } { ( R - m ) ^ { 2 } } + \frac { 1 } { ( R + m ) ^ { 2 } }
train
- 9 . 9 5 9 9
2019
t _ { \theta } ^ { - 1 } = t _ { - \theta }
2014
g ( u ) = y ( e ^ { u } )
train
\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a }
train
\lim _ { x \rightarrow - 1 } \frac { x ^ { 3 } + 1 } { x + 1 }
train
\frac { p } { 2 }
train
x ^ { 4 } + 6 x ^ { 3 } \sqrt { 3 } + 8 x ^ { 2 } - 2 x \sqrt { 3 } - 1
train
E = E _ { k } + E _ { p }
train
\frac { 1 } { 3 } \frac { 1 } { 3 } \gamma
train
a - 1 = n
train
\int _ { \log 3 } ^ { 0 } \frac { 1 } { e ^ { t } + 1 } d t
train
\sqrt { 1 + \sqrt { 2 + \sqrt { 3 + \sqrt { 4 } } } }
train
y \leq x
2019
1 2 \pm ( ( 2 9 \times 6 ) + 2 2 ) + ( ( 4 7 \times 1 3 3 ) - ( 8 6 - 1 8 7 ) )
train