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