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