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