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