Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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26
336
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2
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4 values
8 x ^ { 4 } - 8 x ^ { 2 } + 1
2019
h _ { x x } = - h _ { y y } \neq 0
2019
d _ { 0 } = x _ { 0 } a + y _ { 0 } b
train
q ( t )
train
x = \frac { 4 \pi i } { 3 } + 2 \pi i n
2019
9 . 5
train
x ^ { 2 }
train
\int \frac { 3 x + 1 } { x ^ { 2 } + x } d x
2014
a ^ { x } a ^ { y } = a ^ { x + y }
train
a = \frac { \pm 1 } { \sqrt { 1 - \beta ^ { 2 } } }
train
\sqrt { 1 + \sqrt { 1 + z ^ { 2 } } }
train
( ( 1 7 7 - 7 2 ) \times ( 1 0 4 \times 1 6 4 ) ) \div ( 7 9 \times ( 1 1 3 \times 1 8 ) ) = 1 1 . 1 5
train
3 + 3 = 6
train
\sin \theta = \frac { y } { \sqrt { x ^ { 2 } + y ^ { 2 } } }
train
- 8 x ^ { 5 } - 8 x y ^ { 4 } - 6 x ^ { 3 } y ^ { 2 } - 4 8 x ^ { 3 } z ^ { 2 } - 5 2 x y ^ { 2 } z ^ { 2 } - 8 x z ^ { 4 }
train
\int \limits _ { 3 } ^ { 6 } \int \limits _ { 2 } ^ { 4 } 2 d x d y = 2 \cdot ( 6 - 3 ) \cdot ( 4 - 2 ) = 1 2
train
\int _ { 0 } ^ { \infty } \frac { z } { \sqrt { z ^ { 3 } + 1 4 } } d z
train
- x _ { 0 } ^ { 2 } - x _ { 1 } ^ { 2 } + \sum _ { i = 2 } ^ { n } x _ { i } ^ { 2 } = - \alpha ^ { 2 }
train
a = \frac { A - \sin ^ { 2 } \theta _ { 1 } } { \cos ^ { 2 } \theta _ { 1 } }
2016
E = E _ { k } + E _ { p }
train
\int \limits _ { a } ^ { a } f ( x ) d x = 0
train
\sqrt { o }
train
- \sqrt { 2 ( 2 + \sqrt { 2 } ) }
2016
\log _ { 2 } ( 2 ^ { 5 } ) = 5
train
B c
train
\frac { 1 } { a } F ( a x + b ) + C
train
\Delta
train
P
train
y ^ { 2 } = \frac { x ^ { 3 } } { 2 a - x }
train
\frac { ( 3 ) ( 3 + 1 ) } { 2 } = 6 = 1 + 2 + 3
2014
- \frac { 1 } { 2 \sqrt { 3 } }
2016
( 1 4 1 - 1 9 + 9 6 - 7 1 ) \times ( 1 0 0 \times ( 1 5 \times 9 ) ) = 1 9 8 4 5 0 0
train
c ^ { 2 } = a ^ { 2 } + b ^ { 2 } - 2 a b \cos C
train
x _ { i } = x _ { j }
train
b ^ { 3 } - 3 / 2 b
2014
8 6 \pm 1 7 9 + 1 7 3
train
e
train
3 a ^ { 2 } b ^ { 3 } + 5 a ^ { 3 } b ^ { 2 } - \frac { a ^ { 5 } b ^ { 8 } } { 2 }
train
y = p g c d ( x _ { a } - x _ { b } , n )
train
( 0 0 0 0 0 ) ( - 1 - 1 0 0 0 )
2019
x = x _ { a } - x _ { b }
2019
\frac { 5 \times 4 } { 2 } - 5 + 1 = \frac { 4 \times 3 } { 2 } = 6
2016
\sqrt { i } ^ { T }
train
\sqrt { \cdots + u }
train
\frac { p _ { 2 } } { q _ { 2 } } = \frac { p _ { 1 } + p _ { 3 } } { q _ { 1 } + q _ { 3 } }
2016
p + w
train
x ^ { 2 n + 1 }
train
f = \sum _ { n } f _ { n } z ^ { n + 1 }
2019
c ^ { 2 } = a ^ { 2 } + b ^ { 2 } - 2 a b \cos C
train
\frac { \sqrt { 9 9 x ^ { 7 } } } { 1 1 x ^ { 3 } }
train
\int g = \lim _ { n \rightarrow \infty } \int g _ { n }
2014
x _ { 1 } + x _ { 2 } = x _ { 3 }
train
\cdots - 6
train
l _ { d _ { A } }
train
y = x ^ { \frac { 1 } { 3 } }
train
6 \times 6 = 4 \times 9
train
( \frac { a } { e } )
train
\frac { \beta + \gamma } { \theta }
train
y _ { 2 } + y _ { 4 } = - \sqrt { z _ { 2 } }
train
m
train
z _ { 1 } z _ { 2 } z _ { 3 } + z _ { 1 } z _ { 2 } z _ { 4 } + z _ { 1 } z _ { 3 } z _ { 4 } + z _ { 2 } z _ { 3 } z _ { 4 }
2016
\frac { \tan \alpha - \tan \beta } { 1 + \tan \alpha \tan \beta }
train
S = ( \sum _ { i = 1 } ^ { n } \theta _ { i } - ( n - 2 ) \pi ) r ^ { 2 }
train
\frac { 1 } { \sin ( x ) + 1 }
train
i
train
p \rightarrow \sqrt { - p ^ { 2 } }
2016
\sigma
train
z ^ { \phi }
train
B = C _ { 1 } + C _ { 2 } + \ldots + C _ { n }
2014
a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i )
train
\frac { \sqrt { 9 9 x ^ { 7 } } } { 1 1 x ^ { 3 } }
train
\{ 7 , 7 \} = \{ 7 \}
2014
7 5 8 8
2014
f ^ { k } ( w )
train
\sum o
train
[ \alpha ]
train
\tan ( \frac { \pi } { 4 } ) = 1
train
\frac { i + i ^ { B } } { [ a ] }
train
\int _ { a } ^ { b } f ( x ) d x = \int _ { a } ^ { b } g ( x ) d x
2014
g \geq \frac { b } { \sum p }
train
( 1 2 2 \div ( 1 9 7 + 9 4 ) ) + ( ( 1 2 6 \div 0 ) \times ( 1 7 9 - 9 7 ) ) \neq 2 1 4 7 4 8 3 6 4 7
train
x _ { f } = x _ { i } + v _ { i } t + \frac { 1 } { 2 } a t ^ { 2 }
train
( v )
train
\int d ^ { 2 } x A ^ { 2 } ( x )
2016
1 + 1 = 2 [ \frac { 1 ( 1 + 1 ) } { 2 } ] ^ { 9 } = 2
2014
\frac { d A ^ { - 1 } } { d x } = - A ^ { - 1 } \frac { d A } { d x } A ^ { - 1 }
2016
\sin x - \sin y - \sin ( x - y )
train
q = \sqrt { ( \frac { B - A } { C } ) ^ { 2 } + 1 } + \frac { B - A } { C }
train
\sin x = \sin ( x - 2 \pi k )
train
5 . 7
train
X _ { i , j }
train
3 - 2 \cos \theta - \cos ^ { 2 } \theta
2019
- \frac { 1 } { 4 } + x
2019
( y + 1 ) ( c y ^ { 2 } + 1 ) ( c y ^ { 3 } + 3 c y ^ { 2 } - 2 y - 3 ) = 0
2019
4 2 - 8 5 - 1 8 \geq - 2 5
train
( u _ { 0 } , \ldots , u _ { n - 1 } )
train
b = c \sin B = c \cos A
train
- ( 2 b - 9 6 ) = 2 b - 9 6 - 1 9 2
2016
( e _ { 1 } , \ldots , e _ { n } )
train
p _ { i }
train