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