Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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