Datasets:
deepcopy
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Azu-Handwritten-Mathematical-Expression

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