Datasets:
deepcopy
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Azu-Handwritten-Mathematical-Expression

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