Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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