Datasets:
deepcopy
/
Azu-Handwritten-Mathematical-Expression

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imagewidth (px)
26
336
latex
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2
482
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4 values
w = \tan \beta
2016
\int T c d P
train
\{ a \}
2014
t \int z ( P ) d l
train
t
train
x _ { 1 } ( y )
train
\frac { d + i n } { \gamma - u }
train
t g 2 x = \frac { 2 \cdot t g x } { 1 - t g ^ { 2 } x }
train
e ^ { x } = e ( 1 + ( x - 1 ) + \frac { ( x - 1 ) ^ { 2 } } { 2 } + o ( ( x - 1 ) ^ { 2 } ) )
train
H z
2014
\sqrt { \frac { 5 } { 4 } } = \frac { \sqrt { 5 } } { \sqrt { 4 } } = \frac { \sqrt { 5 } } { 2 }
2014
[ \int b d I ]
train
i z a
train
\sqrt { \frac { 1 } { n } \sum _ { k = 1 } ^ { n } ( a _ { k } ) ^ { 2 } } \geq \frac { 1 } { n } \sum _ { k = 1 } ^ { n } a _ { k }
train
1 9 \pm 1 2 8 / 1 3 2
train
( 3 1 - x ) \sqrt { x }
train
x ^ { \prime } ( j ) = g ( j ) x ( j )
2016
\lim _ { n \rightarrow \infty } n ^ { \frac { 1 } { n } } = 1
train
\lim _ { x \rightarrow c } f ( x ) = f ( c )
train
a ^ { 2 } + b ^ { 2 } = ( a + b i ) ( a - b i )
train
u _ { n + p } = a _ { 0 } u _ { n } + a _ { 1 } u _ { n + 1 } + \ldots + a _ { p - 1 } u _ { n + p - 1 }
train
\log | \sin q |
2016
\frac { n + 1 } { 2 }
train
H _ { c l }
2014
n ! - 1
train
a F
train
f ^ { ' } ( x ) = \frac { 1 } { 2 \sqrt { x } }
train
\log _ { 2 } 8 + \log _ { 3 } 9 + \log _ { 4 } 1 6
train
\lim _ { n \rightarrow \infty } \frac { 1 } { n ^ { p } } = 0
train
y _ { i } ^ { 2 } = x _ { i } ( x _ { i } - 1 ) ( x _ { i } - a _ { i } )
2016
\cos m
train
a + \sqrt { \frac { b + c } { d + f } }
train
y z = z y
train
x _ { 2 } = \sin \theta \sin \phi
2019
\frac { b } { a ^ { 2 } - a } - \frac { b } { a - 1 }
train
z = a + b j
2014
\cdots + 6
train
( x \times x \times x ) \times ( x \times x )
2014
E
train
q - ( q - \sqrt { 2 } ) = \sqrt { 2 }
2014
\tan \theta < 0
2016
\lim _ { n \rightarrow \infty } \frac { n ^ { 2 } + 3 n } { 2 n ^ { 2 } + 1 } = \frac { 1 } { 2 }
train
\sqrt { \frac { 1 } { n } \sum _ { k = 1 } ^ { n } ( a _ { k } ) ^ { 2 } } \geq \frac { 1 } { n } \sum _ { k = 1 } ^ { n } a _ { k }
train
( 1 4 3 - 1 3 5 - 1 9 1 ) / 5 3 \neq 1
train
\sqrt { a } = 2 ^ { - n } \sqrt { 4 ^ { n } a }
train
y _ { 1 } + u
train
\int e ^ { x ^ { 2 } } x ^ { 3 } d x
train
| x - \frac { p _ { n } } { q _ { n } } | \leq \frac { 1 } { q _ { n } q _ { n + 1 } } < \frac { 1 } { q _ { n } ^ { 2 } }
train
n = k + 1
train
\int \frac { d x } { x } + \int \frac { 2 } { x + 1 } d x
2014
p ^ { 2 } + x ^ { n } + x ^ { m }
2019
x _ { 1 } = \frac { ( 1 - \frac { 2 } { \sqrt { N - 1 } } ) N } { L }
train
\int _ { 0 } ^ { \infty } d x x ^ { n }
train
1 2 9 \div 1 7 3 \leq 1
train
\lim _ { x \rightarrow a } \frac { f ( x ) } { g ( x ) } = \lim _ { x \rightarrow a } \frac { f ^ { ' } ( x ) } { g ^ { ' } ( x ) }
train
( x ^ { 3 } - x ^ { 2 } - x ) ( 2 x - 7 )
train
( 1 , i , j , k )
train
y = r \sin \theta
train
j i
train
7 \times 2
train
B = C
2019
h _ { 0 0 } ( t ) = 2 t ^ { 3 } - 3 t ^ { 2 } + 1
train
- \int C d V
train
\frac { x ^ { 2 } + y ^ { 2 } } { a ^ { 2 } } - \frac { z ^ { 2 } } { b ^ { 2 } } = 1
train
a _ { n } = a _ { 1 } \cdot q ^ { n - 1 }
train
a = b \cos C + c \cos B
train
1 0 ^ { 2 0 }
train
a _ { 1 } + a _ { 2 }
train
2 f - e _ { 1 } + 2 e _ { 4 } - e _ { 5 } + e _ { 7 } + 2 e _ { 9 }
2019
d x + 2 l \cos { y } d z
2019
o
train
\alpha ^ { 4 } + \alpha ^ { 6 } + \alpha ^ { 7 } + \alpha ^ { 9 }
2014
\gamma ^ { 0 } = \beta
train
1 2 3 4 + 5 6 7 8 > 9 0
train
\int \limits _ { 0 } ^ { R } \frac { 2 x } { 1 + x ^ { 2 } } d x = \log ( 1 + R ^ { 2 } )
train
o ^ { \beta + r }
train
r ( r _ { 0 } \sin ( \theta - \theta _ { 0 } ) - r _ { 1 } \sin ( \theta - \theta _ { 1 } ) ) = r _ { 0 } r _ { 1 } \sin ( \theta _ { 1 } - \theta _ { 0 } )
train
\frac { \sum l } { s }
train
\sin ( k r )
2019
\frac { 3 x + y } { z } = ( \frac { A - 1 } { x ^ { 2 } + y ^ { 2 } } )
train
\frac { a } { \sin A } = \frac { b } { \sin B } = \frac { c } { \sin C }
train
y = u _ { y } ( x )
train
| x - \frac { p _ { n } } { q _ { n } } | \leq \frac { 1 } { q _ { n } q _ { n + 1 } } < \frac { 1 } { q _ { n } ^ { 2 } }
train
8 + 8 + 8 + 8 + 6
2019
k ^ { 3 } + 1 4 k ^ { 2 } - 1 3 2 k + 1 7 8 9
train
\lim _ { y \rightarrow \infty } y \sin ( \frac { c } { y } ) = c
train
t
train
a + b + c = 0
train
\sum _ { g = z } ^ { \sqrt { j } } L
train
\frac { \tan \alpha - \tan \beta } { 1 + \tan \alpha \tan \beta }
train
\int \sum _ { a } A ^ { a } = 0
2016
\sum _ { n = 1 } ^ { N } ( - 1 ) ^ { n } \sin ( n x )
train
\frac { 1 0 0 ! } { 9 7 ! \cdot 6 ! }
train
x + C > C
train
b ( r ) = b _ { - 1 } r ^ { - 1 } + b _ { 1 } r + ( \frac { 1 } { 8 } b _ { 1 } - 2 f _ { 1 } k _ { 1 } ) r ^ { 3 } + \ldots
2016
\cos x
train
X _ { 0 } , \ldots , X _ { n }
train
r
train
x ^ { 3 } + p x + q = 0
train
p \geq 1
2014