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