Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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