Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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\frac { 1 } { \frac { 1 } { 2 } ( \frac { 1 } { a } + \frac { 1 } { b } ) } = \frac { 2 a b } { a + b }
train
x = r \cos \theta
train
x ^ { 2 } = x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 }
2016
( f _ { p } )
train
\frac { 1 } { 2 } ( l + 1 ) ( l + 2 )
2016
n
train
\pi r l
train
X _ { 0 } ( p )
train
( 1 4 8 - 4 7 ) \times 6 2 \leq 6 2 6 2
train
\phi > 0
2014
u _ { 1 } = a u _ { 0 } + b
train
[ A _ { g } ]
train
a x ^ { 4 } + b x + c = 0
train
\frac { 9 + 4 \sqrt { 3 } } { 3 3 }
2016
A = \sqrt { a + \frac { 1 } { \sqrt { a + \frac { 1 } { \sqrt { a } } } } } + \sqrt { b }
train
v ^ { \frac { p } { m } }
train
y ^ { 2 } \pm \sqrt { u - p } ( y - \frac { q } { 2 ( u - p ) } ) + \frac { u } { 2 } = 0
train
\exists g \in G
2016
\frac { 8 \times 5 } { 5 + 3 } = \frac { 3 5 \times 1 } { 6 + 1 }
2019
a ^ { m } \times a ^ { n } = a ^ { m + n }
train
\sin ^ { A } j
train
\int \limits _ { 0 } ^ { \infty } f ( x ) d x = \lim _ { b \rightarrow \infty } \int \limits _ { 0 } ^ { b } f ( x ) d x
train
\int _ { 0 } ^ { \infty } \frac { z } { \sqrt { z ^ { 3 } + 1 4 } } d z
train
a d - b c \neq 0
train
\lim _ { y \rightarrow x f ( y ) = f ( x ) }
2014
\lim _ { n \rightarrow \infty } \frac { n ^ { 2 } + 3 n } { 2 n ^ { 2 } + 1 } = \frac { 1 } { 2 }
train
1 4 + 5 4 - 1 1 6 \neq - 1 2
train
q \times p
train
z _ { 1 } ^ { 2 } + 1 ^ { z } - z _ { 2 } ^ { 2 } + 2 ^ { z }
train
1 - n + 2 \sqrt { ( n + 2 ) ( n - 1 ) } > 0
2016
n ! - 1
train
a _ { n + 1 } = a _ { n } - \frac { f ( a _ { n } ) } { f ^ { ' } ( a _ { n } ) }
train
\frac { x _ { 1 } } { \frac { x _ { 2 } } { \frac { x _ { 3 } } { x _ { 4 } } } }
train
\frac { - b - \sqrt { b ^ { 2 } - 4 a c } } { 2 a }
train
e _ { 5 } - 5 e _ { 4 }
2014
\int \sqrt { L } d v _ { p }
train
\sum _ { m } f ( m + 3 )
train
\sqrt { V } ^ { m - P }
train
u ( x _ { b } ) = u _ { b } ( x _ { b } )
2014
[ b ^ { x } \{ ( \frac { a } { b } ) ^ { x } + 1 \} ] ^ { \frac { 1 } { x } }
train
\lim _ { z \rightarrow + \infty } h ( z ) = 0
2019
F ( X ) = \sqrt [ 3 ] { 1 + X }
2019
z ^ { \frac { 1 } { 6 } } \log z
2016
\frac { n _ { 2 } } { n _ { 1 } } = 1
train
\int e ^ { - z ^ { 2 } } d z = e r f ( z )
train
\sum y + l
train
y ^ { 2 } = x ^ { 3 } - 3 x + 2
train
a ^ { n - 1 }
train
\frac { 1 0 0 ! } { 9 7 ! - 6 ! }
train
\cos ^ { 3 } y = \frac { 1 } { 4 } ( \cos 3 y + 3 \cos y )
train
1 2 7 + 8 5 - 1 9 8 \geq 1 3
train
( 1 7 5 \times 1 3 2 ) - 1 8 4 \leq 2 2 9 1 6
train
x ^ { 7 } - x ^ { 6 } - x ^ { 4 } - x ^ { 2 } - 1
train
n ! - 1
train
- \sigma
train
a - b + c - d
2019
( p , l )
train
P
train
\theta _ { x } , \theta _ { y } , \theta _ { z }
train
\cos I
train
\frac { 1 } { 2 } a p
train
a _ { i 3 } - \frac { 1 } { 2 } ( \frac { m ^ { i } m ^ { 3 } } { 4 } + m ^ { i } + \frac { m ^ { 3 } } { 2 } )
2016
a _ { n } = a _ { 1 } \cdot q ^ { n - 1 }
train
h ( f , \alpha )
train
f ( x ) = \sqrt { x } - 1
train
x ^ { 2 } + y ^ { 2 } < 1
train
a = 1 + 2
train
p ^ { - v _ { p } ( r ) }
train
( x ^ { 1 } ) ^ { 2 } + ( x ^ { 2 } ) ^ { 2 } + ( x ^ { 3 } ) ^ { 2 } + ( x ^ { 4 } )
2019
x B
train
( G - V )
train
2 ^ { - \frac { 1 } { 9 } } 3 ^ { - \frac { 1 } { 3 } }
2016
x = \sqrt { x _ { i } x ^ { i } }
2016
\frac { B } { S } + v
train
s _ { 1 } , \ldots , s _ { k }
train
\frac { d u } { d s } = 0
train
w = x y z
train
\frac { 3 5 } { 5 2 8 }
2019
6 . 3 \int m d r
train
l
train
\pi
train
R = \sqrt { ( x ^ { 1 } ) ^ { 2 } + ( x ^ { 2 } ) ^ { 2 } + ( x ^ { 3 } ) ^ { 2 } + ( x ^ { 4 } ) ^ { 2 } }
2019
t + \pi
2019
y = x ^ { 2 }
train
z B _ { B }
train
\sqrt { 1 + \sqrt { 1 + \sqrt { 1 + \sqrt { x } } } }
train
3 x - 5 < - 2
train
[ \frac { 2 } { 3 } x ^ { \frac { 3 } { 2 } } ] _ { 0 } ^ { 1 }
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
\frac { \sqrt { 0 } } { 2 }
train
\cos x m
2016
\sum _ { m } f ( m + 3 )
train
r ( r _ { 0 } \sin ( \theta - \theta _ { 0 } ) - r _ { 1 } \sin ( \theta - \theta _ { 1 } ) ) = r _ { 0 } r _ { 1 } \sin ( \theta _ { 1 } - \theta _ { 0 } )
train
\frac { 2 \tan \alpha } { 1 - \tan ^ { 2 } \alpha }
train
- 0 . 5 \leq \log r \leq 0 . 5
2016
1 8 4 + 1 7 6 + 1 3 - 9 8 \leq 2 7 5
train
( V ^ { E } ( k ) )
train
\alpha = 1
train
B ( a , b ) = ( \frac { a + b } { b } ) ( \frac { a + b + 1 } { a } ) B ( a + 1 , b + 1 )
2016
3 + 1 = 4
train