Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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