image imagewidth (px) 26 336 | latex stringlengths 2 482 | split stringclasses 4 values |
|---|---|---|
a _ { n } s _ { 2 } + a _ { n - 1 } s _ { 1 } + 2 a _ { n - 2 } = 0
| train | |
V = a \cdot b \cdot c
| train | |
x _ { 1 } - x _ { 2 } + y _ { 1 } - y _ { 2 } + z _ { 1 } - z _ { 2 }
| train | |
\sqrt { B }
| train | |
s = s _ { 0 } t + \frac { 1 } { 2 } a t ^ { 2 }
| train | |
3 \ldots 9
| 2019 | |
\sqrt { \frac { \sum _ { i = 1 } ^ { n } x _ { i } ^ { 2 } } { n } } \geq \frac { \sum _ { i = 1 } ^ { n } x _ { i } } { n }
| train | |
f ( a ) f ( b ) = f ( a + b )
| 2014 | |
\frac { 1 } { a } F ( a x + b ) + C
| train | |
\sqrt { x - y - z + x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }
| train | |
0 . 1 \neq [ A ]
| train | |
X ^ { 4 } - 1 = ( X + i ) ( X - i ) ( X - 1 ) ( X + 1 )
| train | |
\cdots + l ^ { \beta }
| train | |
b ( 1 )
| train | |
( x + y ) ^ { 2 } + 2 ( x y - 1 ) ^ { 2 } = 0
| 2016 | |
( I - T ) ^ { - 1 } = I + T + T ^ { 2 } + T ^ { 3 }
| 2014 | |
R _ { 1 }
| 2014 | |
g + B
| 2019 | |
A ( x ) = \frac { 1 } { x } + \frac { 1 } { x ^ { 2 } } + B ( x )
| train | |
\sqrt [ n ] { \frac { n + 1 } { ( n - 1 ) ^ { 2 } } }
| train | |
x ^ { \frac { 1 } { 2 } ( 1 + \frac { 1 } { 2 ^ { 2 } } ) }
| train | |
x + a = y + a
| train | |
1 0 ^ { 3 2 }
| train | |
t ^ { \prime } = \frac { t - \frac { v x } { c ^ { 2 } } } { \sqrt { 1 - \frac { v ^ { 2 } } { c ^ { 2 } } } }
| 2019 | |
- \sin ^ { 2 } \theta
| 2016 | |
u
| train | |
x ^ { 1 } y ^ { 1 } x ^ { 3 }
| 2019 | |
\frac { a _ { 1 } + a _ { 2 } + a ^ { 3 } } { 1 - x }
| train | |
\frac { n ( n - 1 ) ( 4 n - 5 ) } { 3 }
| 2019 | |
9 \pm 9 8 - ( 2 8 \times 1 5 9 )
| train | |
4 ( n + 1 ) - 3 n - n = 4
| 2019 | |
m _ { n } ( g _ { \alpha } ) = m _ { n } ( f )
| train | |
1 4 9 / ( 1 2 3 / ( 3 7 + 1 5 5 ) ) \neq - 2 5 8
| train | |
\sqrt { s }
| train | |
n + n
| 2019 | |
\sin \theta = \frac { y } { \sqrt { x ^ { 2 } + y ^ { 2 } } }
| train | |
a _ { t a n } = r \alpha
| train | |
x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }
| train | |
y _ { i j k }
| train | |
3 . 8
| 2016 | |
x _ { k - 1 }
| train | |
\lim _ { n \rightarrow \infty } n ^ { \frac { 1 } { n } } = 1
| train | |
u ^ { 3 } = 2 + \sqrt { - 1 2 1 } = 2 + 1 1 \sqrt { - 1 }
| train | |
\sqrt { 1 + \sqrt { 2 + \sqrt { 3 + \sqrt { 4 } } } }
| train | |
n = 1 5 0 0
| train | |
( - 1 ) ^ { w _ { 6 } + w _ { 7 } + w _ { 8 } + w _ { 9 } }
| 2016 | |
- 7 . 9
| train | |
y
| train | |
x ^ { 2 } + y ^ { 2 } + ( z - z _ { 1 } ( t ) ) ( z - z _ { 2 } ( t ) ) ( z - z _ { 3 } ( t ) ) = 0
| 2016 | |
\frac { 2 } { \frac { 3 m - 2 n \times 9 ^ { n } - 9 ^ { m } } { 2 n - 1 } }
| train | |
\sum T
| train | |
7 9 \pm ( 1 5 1 \times ( 1 5 3 + 1 2 9 ) ) - ( 4 6 + 3 0 )
| train | |
\lim _ { x \rightarrow \infty } p _ { k } ( x ) = \infty
| 2014 | |
5 . 5
| train | |
A _ { 2 k } = \frac { 2 R A _ { k } } { 2 R + \sqrt { 4 R ^ { 2 } + A ^ { 2 } _ { k } } }
| train | |
\int \sum p d b
| train | |
a + \sqrt { \frac { b + c } { d + f } }
| train | |
1 2 3 4 + 5 6 7 8 > 9 0
| train | |
6 + 2 b = 1 2 + 6
| train | |
V j
| train | |
\sigma
| train | |
\tan z = \frac { \sin z } { \cos z }
| train | |
x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }
| train | |
a _ { n } = a _ { 1 } \cdot q ^ { n - 1 }
| train | |
3 + 4
| train | |
\int ( 2 ^ { x } - 3 e ^ { x } ) d x
| train | |
\int d ^ { 6 } y \sqrt { d e t g _ { m n } }
| 2019 | |
0
| train | |
h = \frac { 1 } { 2 } \times 9 , 8 1 \times 0 , 5 ^ { 2 }
| train | |
( N ^ { L } )
| train | |
z _ { h }
| train | |
2 ^ { s + 1 3 }
| train | |
1 + 2 + \cdots + n = \frac { n ( n + 1 ) } { 2 }
| train | |
- c L
| train | |
\frac { a + b } { 2 }
| 2014 | |
( f _ { 1 } , \ldots , f _ { p } )
| train | |
f ^ { - 1 }
| train | |
\sqrt { 1 + \sqrt { 2 + \sqrt { 3 + \sqrt { 4 } } } }
| train | |
[ x ^ { ( 4 ) } ] ^ { - 1 } d [ x ^ { ( 4 ) } ]
| 2016 | |
\lim _ { n \rightarrow \infty } n ^ { \frac { 1 } { n } } = 1
| train | |
x _ { x } ^ { x } + y _ { y } ^ { y } + z _ { z } ^ { z } - x - y - z
| train | |
\frac { d } { d t }
| train | |
\{ I _ { k } \}
| train | |
\lim _ { n \rightarrow \infty } f ( x _ { n } ) = f ( \lim _ { n \rightarrow \infty } x _ { n } )
| train | |
I _ { S }
| 2014 | |
\alpha = ( \alpha _ { 1 } , \alpha _ { 2 } , \ldots , \alpha _ { n } )
| train | |
\beta = 1
| 2014 | |
- \sum I + H ^ { u }
| train | |
0 , 2 5 \times 3 6 0
| train | |
\sqrt { - g } = \sin \theta
| 2016 | |
f ( z ) = \sum _ { n = - \infty } ^ { \infty } a _ { n } ( f ) z ^ { n }
| train | |
z _ { 3 } - \frac { 1 } { 2 } \leq z _ { 8 } \leq z _ { 3 } + \frac { 1 } { 2 }
| 2016 | |
\int f ( x ) d x
| 2016 | |
\cos ( 0 ) = 1
| train | |
g ^ { a b } = h ^ { a b } - n ^ { a } n ^ { b }
| 2019 | |
\exists f ( z )
| 2019 | |
\int d ^ { n } x a _ { 2 }
| 2016 | |
X t
| train | |
V _ { 1 } = - \log | \sin x |
| 2019 | |
\lim _ { x \rightarrow - 1 } \frac { x ^ { 3 } + 1 } { x + 1 }
| train |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.