Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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image
imagewidth (px)
26
336
latex
stringlengths
2
482
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4 values
1 9 \times 7 \leq 1 3 3
train
p _ { i j }
train
9
train
\lim _ { n \rightarrow \infty } \frac { n ^ { 2 } + 3 n } { 2 n ^ { 2 } + 1 } = \frac { 1 } { 2 }
train
\int _ { \log 3 } ^ { 0 } \frac { 1 } { e ^ { t } + 1 } d t
train
H _ { ( 2 ) } ^ { \frac { 2 } { 3 } - \frac { 1 } { 3 } - \frac { 1 } { 3 } } = 1
2019
N
train
m ^ { b }
train
\sqrt { 6 0 }
train
S = ( \sum _ { i = 1 } ^ { n } \theta _ { i } - ( n - 2 ) \pi ) r ^ { 2 }
train
a + 0 = 0 + a = a
train
k = \sum _ { i } k _ { i } = - \sum _ { y } k _ { y }
2016
\cos ( m X ) \cos ( Y / R )
2019
q \rightarrow 0
train
\sum _ { i = 2 n + 3 m } ^ { 1 0 } i x
train
2 + 4 + 4 + \ldots
2019
y < y \prime
2014
E
train
Y
train
| x - \frac { p _ { n } } { q _ { n } } | \leq \frac { 1 } { q _ { n } q _ { n + 1 } } < \frac { 1 } { q _ { n } ^ { 2 } }
train
2 x ( 9 x + 1 ) ( 3 x + 1 ) ^ { 3 }
2014
z = \frac 1 { \sqrt { 2 } } ( x ^ { 1 } + i x ^ { 2 } )
2019
a = b \cos C + c \cos B
train
R
train
\frac { \frac { \frac { x _ { 4 } } { x _ { 3 } } } { x _ { 2 } } } { x _ { 1 } }
train
( \frac { 1 + x ^ { 2 } } { 1 + y ^ { 2 } } ) ^ { t } \leq 2 ^ { | t | } ( 1 + ( x + y ) ^ { 2 } ) ^ { | t | }
train
x = ( x _ { 1 } , x _ { 2 } , \ldots , x _ { n } )
train
x \neq y
2016
m n t ^ { n } ( n - 1 + m n t ^ { n } )
2019
| \frac { a x _ { 0 } + b y _ { 0 } + c } { \sqrt { a ^ { 2 } + b ^ { 2 } } } |
train
x \leq z
2019
z _ { 1 } ^ { 2 } + 1 ^ { z } - z _ { 2 } ^ { 2 } + 2 ^ { z }
train
6 f t
2014
R _ { a b } R ^ { a b } - \frac { 1 } { 3 } R ^ { 2 }
2016
\int \limits _ { 0 } ^ { \infty } \sqrt { x } e ^ { - x } d x = \frac { 1 } { 2 } \sqrt { \pi }
train
6 . 7
train
x _ { 1 } = 1
train
\int _ { a } ^ { b } \frac { \sqrt { x } } { 2 } d x
train
X ( z )
train
\lim _ { x \rightarrow \frac { \pi } { 2 } + 0 } \tan x = - \infty
train
2 \sum _ { x = 1 } ^ { n } x - \sum _ { x = 1 } ^ { n } 1
2014
( - 1 ) ^ { 3 } - 1 = - 1 - 1 = - 2
2014
n ! - 1
train
1
train
\sqrt { x - y - z + x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }
train
\sqrt { X } ^ { 8 }
train
x _ { x } ^ { x } + y _ { y } ^ { y } + z _ { z } ^ { z } - x - y - z
train
a \geq - \frac { 1 } { 4 }
2016
\lim _ { n \rightarrow + \infty } ( u _ { n } ) = u _ { 0 }
train
0 \leq x \leq \frac { 1 } { 4 }
2019
a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i )
train
2 \alpha + 3 \sqrt { \beta }
train
V _ { n - 1 } = \int d ^ { n - 1 } x \sqrt { h }
2019
P - \frac { L } { z }
train
a _ { n } = a _ { 1 } + ( n - 1 ) d
train
( \sqrt { H } )
train
( ( 8 \times 9 6 ) \times ( 9 6 + 1 9 3 ) ) - 1 1 3 \geq 2 2 1 8 3 8
train
x _ { 1 } = \frac { ( 1 - \frac { 2 } { \sqrt { N - 1 } } ) N } { L }
train
2 0 \div 3 0
2019
( ( 1 2 4 \div 1 0 6 ) + 1 3 2 ) + ( ( 1 6 - 1 4 5 ) \times ( 1 0 0 \times 1 2 0 ) ) \geq - 1 5 4 7 8 6 7
train
\gamma _ { j k }
train
\lim _ { x \rightarrow - 1 } \frac { x ^ { 3 } + 1 } { x + 1 }
train
n _ { a b c } = n _ { a } + n _ { b } + n _ { c }
2016
\sin \frac { \pi } { 4 } = \cos \frac { \pi } { 4 } = \frac { \sqrt { 2 } } { 2 }
train
a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i )
train
a + b + c + d + e
train
n = - 1 + \sqrt { 1 5 }
2019