formula stringlengths 5 635 | image stringlengths 80 86 |
|---|---|
< \sqrt { ( n ) } d ( 2 \sqrt { ( } d ) ( \omega ^ \alpha [ a ] ) ^ { 1 / 2 } + \bar { K } \prime ( \omega ^ \alpha [ a ] ) ^ { 1 / 4 } | f4affccc-ac0a-11e1-1154-001143e3f55c__mathematical-expression-and-equation_13.jpg |
h ( n + 1 ) - h ( n ) > \delta | f4affce7-ac0a-11e1-1154-001143e3f55c__mathematical-expression-and-equation_6.jpg |
l a l + \Delta l | f4ea6250-40bf-11e4-bdb5-005056825209__mathematical-expression-and-equation_4.jpg |
\int _ 0 ^ 1 ( 1 - \xi ) [ \xi ^ \alpha ( 1 - \xi ) ^ \beta ] d \xi = \frac { 1 } { 4 } \int _ { - 1 } ^ 1 ( 1 + u ) [ ( \frac { 1 - u } { 2 } ) ^ \alpha ( \frac { 1 + u } { 2 } ) ^ \beta ] d u = | f4f44fcc-bc37-11e1-1119-001143e3f55c__mathematical-expression-and-equation_4.jpg |
c = \frac { ( 1 5 5 + \sqrt { 1 5 } ) } { 2 4 0 0 } | f4f44fce-bc37-11e1-1119-001143e3f55c__mathematical-expression-and-equation_3.jpg |
E . \beta = \frac { 1 } { L } \sum _ { O } ^ { L } x \frac { d s } { E J } - C = A | f507c8a0-73f4-11e4-9605-005056825209__mathematical-expression-and-equation_0.jpg |
^ 0 H [ 2 3 ] = [ 2 \prime 3 \prime ] - \frac { 1 } { 2 } ( \gamma \prime _ 1 - \gamma _ 1 ) [ 1 \prime 2 \prime ] | f50e74fe-570a-11e1-1211-001143e3f55c__mathematical-expression-and-equation_9.jpg |
\Delta = | \begin{array} { c c c c } a & b & c & d \\ c & d & a & b \\ d & c & b & a \\ b & a & d & c \end{array} | | f5448f68-40e3-11e1-1586-001143e3f55c__mathematical-expression-and-equation_0.jpg |
V = [ \frac { \pi \alpha ^ 2 } { 2 } + \frac { \pi \beta ^ 2 } { 2 } + \frac { \pi v ^ 2 } { 6 } ] v , | f5748f5f-3336-11ec-af5b-001b63bd97ba__mathematical-expression-and-equation_4.jpg |
S = \sum _ { i = 1 } ^ { N } a _ i Z _ i | f57966dc-ac0a-11e1-1027-001143e3f55c__mathematical-expression-and-equation_0.jpg |
s ( t ) = e ^ { j ( \omega t + \phi _ k + \phi _ l ) } | f57967b3-ac0a-11e1-1027-001143e3f55c__mathematical-expression-and-equation_0.jpg |
\dot { x } ( t ) = A x ( t ) + B u ( t ) | f5796895-ac0a-11e1-1027-001143e3f55c__mathematical-expression-and-equation_3.jpg |
A [ \begin{array} { c } y ( t ) \\ s ( t ) \end{array} ] = H s ( t - 1 ) + b u ( t - T _ u ) + k _ x + c e ( t ) | f57968e3-ac0a-11e1-1027-001143e3f55c__mathematical-expression-and-equation_2.jpg |
A = D _ 1 ( 0 , 0 ) = 0 | f5e12dd6-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_7.jpg |
H A _ 2 = \pi _ { 2 2 } A \prime _ 2 | f5e12eb6-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\delta ( \{ n ; \frac { \epsilon _ n ( t _ 0 ) } { q _ n } < \alpha \} ) = \alpha | f5e12ec8-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_1.jpg |
+ K \int _ 0 ^ t \parallel x ^ { ( 1 ) } ( \tau ) - x ^ { ( 2 ) } ( \tau ) - y ^ { ( 1 ) } ( \tau ) + y ^ { ( 2 ) } ( \tau ) \parallel _ q d \tau + | f5e12fcd-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_11.jpg |
\psi ( \delta , \alpha ( d ) , \epsilon ) \le \psi _ 1 ( \delta , \epsilon ) \psi _ 2 ( d , \epsilon ) | f5e12fd0-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_3.jpg |
= \frac { 1 } { 2 c d } [ c ^ 2 + d ^ 2 - \frac { ( a c - b d ) ( b c - a d ) } { a b - c d } ] | f5f2f724-40e3-11e1-1586-001143e3f55c__mathematical-expression-and-equation_7.jpg |
v = \frac { d s ( t ) } { d t } = v ( t ) | f6462d16-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_1.jpg |
P _ { \eta | \xi } [ D ( \xi , \delta _ 1 , \delta _ 2 ) ] \ge p ( \delta _ 1 , \delta _ 2 ) | f6462e73-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_4.jpg |
c ( k ) = \sigma ^ 2 \delta _ { 0 , k } + \sigma _ V ^ 2 \sum _ { j = 0 } ^ { p } \phi _ j \phi _ { j + k } | f6462ec6-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_0.jpg |
x ^ { ( h + k ) } ( t _ 0 ) \in T _ h ( t _ 0 ) | f6c2b4a6-570a-11e1-5298-001143e3f55c__mathematical-expression-and-equation_0.jpg |
D _ b = \frac { 1 } { L } \sum _ { 0 } ^ { L } M ^ { \circ } x \frac { d s } { J } = \frac { 1 } { 1 2 } \cdot 2 2 7 4 1 . 5 5 = 1 8 9 5 . 1 3 | f6e89690-73f4-11e4-9605-005056825209__mathematical-expression-and-equation_3.jpg |
= \sum _ { u , v } \sum _ { x , y } T _ { h _ 1 } \delta ( u , v ) \overline { T _ { h _ 2 } \delta ( x , y ) } S ( u + x , v - y ) = | f7122f19-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_8.jpg |
E [ \hat { D } _ { M N } ( \omega ) ] = D _ { M N } ( \omega ) + c _ 1 | s _ 1 | ^ 2 + c _ 2 | s _ 2 | ^ 2 - \frac { 2 } { L } c + | f7122fd8-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_9.jpg |
| l _ { p + 1 } - 2 l _ p | \le 1 | f7123089-ac0a-11e1-1431-001143e3f55c__mathematical-expression-and-equation_20.jpg |
M _ { a , a \prime } + M _ { a \prime , a } + M _ { b , b \prime } + M _ { b \prime , b } = - V \cdot h = - 1 7 . 2 8 | f71aa310-73f4-11e4-9605-005056825209__mathematical-expression-and-equation_10.jpg |
n _ 2 = n _ 1 - \frac { s \cdot n _ 1 } { 1 0 0 } = n _ 1 ( 1 - \frac { s } { 1 0 0 } ) = \frac { 6 0 \cdot f _ 1 } { p } ( 1 - \frac { s } { 1 0 0 } ) . | f723be10-c41c-11e3-93a3-005056825209__mathematical-expression-and-equation_4.jpg |
\sqrt { 3 } = 3 [ 1 - \frac { 1 \cdot 3 } { 3 \cdot 2 4 } + \frac { 1 \cdot 4 \cdot 3 ^ 2 } { 3 \cdot 6 \cdot 2 4 ^ 2 } - \frac { 1 . 4 \cdot 7 \cdot 3 ^ 3 } { 3 \cdot 6 \cdot 9 \cdot 2 4 ^ 3 } + \dots ] | f72a2550-95d3-11e4-9a7e-5ef3fc9bb22f__mathematical-expression-and-equation_10.jpg |
2 G m = 2 A j v + 4 C w + 2 B t | f74b23ce-1510-4a73-894e-e49f37100738__mathematical-expression-and-equation_19.jpg |
S = \frac { C w ^ 2 L } { 2 g ( H + \frac { S } { 2 } ) } + C = \frac { N C w ^ 2 L } { 2 g ( H + \frac { S } { 2 } ) } | f78ab005-bc37-11e1-1211-001143e3f55c__mathematical-expression-and-equation_0.jpg |
[ \Theta ^ 0 ( z ) ] _ { z = 0 } | f78ab12c-bc37-11e1-1211-001143e3f55c__mathematical-expression-and-equation_13.jpg |
f ( x ) : F ( x ) | f79a2530-95d3-11e4-9a7e-5ef3fc9bb22f__mathematical-expression-and-equation_6.jpg |
\sum _ { 2 ^ { m _ j + n _ j } \le \sqrt { x } } | f7a46146-570a-11e1-1090-001143e3f55c__mathematical-expression-and-equation_13.jpg |
\frac { p } { \sigma } = \frac { p _ 0 } { \sigma _ 0 } ( 1 + \gamma t ) , | f80861f0-dade-11e2-9439-005056825209__mathematical-expression-and-equation_0.jpg |
z = \frac { 1 } { r } \cdot z \prime + p . | f815af95-40e3-11e1-1586-001143e3f55c__mathematical-expression-and-equation_2.jpg |
\sin ( \alpha + 2 \phi ) - 2 \cos \phi \sin ( \alpha + \phi ) = - \sin \phi . | f815afac-40e3-11e1-1586-001143e3f55c__mathematical-expression-and-equation_4.jpg |
0 < \zeta < \zeta _ 1 | f85fb3c5-bc37-11e1-1211-001143e3f55c__mathematical-expression-and-equation_6.jpg |
C H _ 4 + C l _ 2 = H C l + C H _ 3 C l | f8642c93-eef3-4a5b-8629-e0ce2f34f511__mathematical-expression-and-equation_7.jpg |
\nabla \tilde { \beta } _ { i s } = g _ { i } \nabla \beta _ { i s } | f87a010f-570a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_22.jpg |
W ^ V \in \Delta ( \rho _ { U V } ( a ) ; \tau _ V ) \} | f87a0287-570a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\text { V a l } _ x ( w _ { ( i ) } ) = \{ \begin{array} { c c } A _ { \text { L } } ( A _ { i } ) & \text { i f } P _ { i } = \text { L A } ( \text { i . e . } A _ { i } \text { i s a l o g i c a l a x i o m } ) \\ \text { X } ( A _ { i } ) & \text { i f } P _ { i } = \text { S A } ( \text { i . e . } A _ { i } \text ... | f8a68add-ac0a-11e1-1154-001143e3f55c__mathematical-expression-and-equation_6.jpg |
| Q _ x ( \tau ) | \le \sum _ { k = 1 } ^ { \tau } | x ^ { * k } ( \tau ) | \le \sum _ { k = 1 } ^ { \tau } \parallel x ^ { * k } \parallel \le \sum _ { k = 1 } ^ { \tau } \parallel x \parallel ^ k , h e n c e | f8a68aee-ac0a-11e1-1154-001143e3f55c__mathematical-expression-and-equation_2.jpg |
H _ y ^ 2 = 1 | f8a68b20-ac0a-11e1-1154-001143e3f55c__mathematical-expression-and-equation_1.jpg |
f \prime \prime \prime _ { x ^ 3 } ( x , y ) , f \prime \prime \prime _ { x ^ 2 y } ( x , y ) , f \prime \prime \prime _ { x y ^ 2 } ( x , y ) , f \prime \prime \prime _ { y ^ 3 } ( x , y ) | f8b0fbc0-5a87-11e3-9ea2-5ef3fc9ae867__mathematical-expression-and-equation_4.jpg |
\overline { P K } = \frac { 2 b _ 1 ^ 2 } { a } | f93938b6-b55a-4975-8c08-2402b73a6975__mathematical-expression-and-equation_7.jpg |
+ \Omega _ { v + 1 } ^ v ( \phi _ v ^ { s 1 } \phi _ 2 ^ { \beta ( v + 1 ) } - \phi _ v ^ { s ( v + 1 ) } \phi _ 2 ^ { \beta 1 } ) + \dots + \Omega _ m ^ v ( \phi _ v ^ { s 1 } \phi _ 2 ^ { \beta m } - \phi _ v ^ { s m } \phi _ 2 ^ { \beta 1 } ) | f956305e-570a-11e1-2028-001143e3f55c__mathematical-expression-and-equation_13.jpg |
[ x , y ] \in E ( X ) | f95631ae-570a-11e1-2028-001143e3f55c__mathematical-expression-and-equation_2.jpg |
\frac { d \zeta } { d z } = - \alpha _ 1 z ^ { - 2 } - 2 \alpha _ 2 z ^ { - 3 } - 3 \alpha _ 3 z ^ { - 4 } - \dots | f98cc0b2-40e3-11e1-1121-001143e3f55c__mathematical-expression-and-equation_12.jpg |
v _ 1 = \frac { 1 } { 2 } \sqrt { ( - B ) } | fa312749-570a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_21.jpg |
s u p _ { y \in \mathcal { R } } | g \prime ( y ) | < K _ 5 | fa42fd0c-ac0a-11e1-1211-001143e3f55c__mathematical-expression-and-equation_6.jpg |
\int _ { - \infty } ^ { T } e ^ { \lambda t } [ ( \dot { X } _ t - f X _ t - b ( \alpha ) - U _ t ) \prime \ell ( \dot { X } _ t - f X _ t - b ( \alpha ) - U _ t ) - \dot { X } _ t \prime \ell \dot { X } _ t ] d t , | fa42fd55-ac0a-11e1-1211-001143e3f55c__mathematical-expression-and-equation_2.jpg |
\frac { d ^ 2 y } { d x ^ 2 } = 0 | fa50d3bd-40e3-11e1-1431-001143e3f55c__mathematical-expression-and-equation_4.jpg |
a = \mathcal { R } ( T _ \alpha ) = P ( \xi > T _ \alpha ) | fa57bd3c-0b6f-4b78-a823-a252adc3d6ad__mathematical-expression-and-equation_4.jpg |
B D ( t ) = B A ( t - d ) | faca76b0-797a-4001-86ce-bf97c9f0fbc8__mathematical-expression-and-equation_0.jpg |
f _ \mu ( x + 1 ) = f _ \mu ( x ) + 1 | fb0eb512-570a-11e1-1278-001143e3f55c__mathematical-expression-and-equation_0.jpg |
v _ 1 \phi + \alpha \delta A _ 3 + \alpha \phi B _ 3 = \phi b _ 3 | fb0eb534-570a-11e1-1278-001143e3f55c__mathematical-expression-and-equation_8.jpg |
\tau = \Omega _ F ( \sigma ) | fb0eb54d-570a-11e1-1278-001143e3f55c__mathematical-expression-and-equation_12.jpg |
M _ r ( f ) = \{ x \in \mathcal { O } | f ( x ) = r \} | fb0eb762-570a-11e1-1278-001143e3f55c__mathematical-expression-and-equation_3.jpg |
s ^ 2 + \lambda s + K A _ 0 = 0 | fb0f9cd6-ac0a-11e1-1027-001143e3f55c__mathematical-expression-and-equation_10.jpg |
n _ 7 \prime = n _ 8 \prime = 2 m + 4 \mu + 2 \epsilon - 4 | fb4e6c6b-50bc-11e1-1457-001143e3f55c__mathematical-expression-and-equation_6.jpg |
\psi _ { 1 2 } = s _ { 3 4 } \cos \beta _ { 1 2 } , \psi _ { 2 1 } = s _ { 3 4 } \cos \beta _ { 2 1 } , \dots | fb4e6d4f-50bc-11e1-1457-001143e3f55c__mathematical-expression-and-equation_4.jpg |
K _ c = \frac { c } { a b } | fbdd185e-40e3-11e1-1027-001143e3f55c__mathematical-expression-and-equation_1.jpg |
p = u + 2 F \prime ( 2 v - \alpha ) , | fbdd18f4-40e3-11e1-1027-001143e3f55c__mathematical-expression-and-equation_24.jpg |
\sigma \prime _ a = \frac { c \sin \beta } { \sin \frac { \gamma - \beta } { 2 } } | fbdd19a2-40e3-11e1-1027-001143e3f55c__mathematical-expression-and-equation_0.jpg |
x _ 2 = - k v _ 2 \omega _ 0 \mathrm { s n } ( \omega _ 0 \lambda t ) | fbe38f33-ac0a-11e1-1589-001143e3f55c__mathematical-expression-and-equation_6.jpg |
j = 1 , 2 , \dots , \mu | fbe38f9a-ac0a-11e1-1589-001143e3f55c__mathematical-expression-and-equation_3.jpg |
\prime ( t ) = - \int _ { t + r } ^ { a + r } y \prime ( s ) B ( s ) d s + \int _ { a } ^ { b } y \prime ( s ) ( G ( s , t ) - G ( s , a ) ) d s + \Bmatrix \gamma \prime , & t < a \\ 0 , & t = a \Bmatrix - | fbe6ec81-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_11.jpg |
\int _ { - r } ^ 0 [ d _ \theta P ( t , \theta ) ] x ( t + \theta ) = \int _ { t - r } ^ t [ d _ s P ( t , s - t ) ] x ( s ) = | fbe6ec89-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_1.jpg |
T f ( x , t ) = \frac { 2 } { \sqrt { \pi } } k ( G ( \alpha _ { x , t } ( t ) ) - G ( \alpha _ { x , t } ( a ) ) ) + T f _ 1 ( x , t ) | fbe6ecbf-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_3.jpg |
G ( x , x ) = + \infty | fbe6ed9b-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_2.jpg |
d \omega _ 3 ^ 4 = - \omega _ 1 ^ 3 \wedge \omega _ 1 ^ 4 - \omega _ 2 ^ 3 \wedge \omega _ 2 ^ 4 | fbe6ee46-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_14.jpg |
H = - \frac { 1 } { 2 } E | fbe6ef09-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_13.jpg |
\pi _ 9 = \frac { g \eta } { \Delta p U } | fca96b41-bc37-11e1-1027-001143e3f55c__mathematical-expression-and-equation_2.jpg |
\pi _ i = p _ i \{ 1 - \frac { 1 } { 2 } ( 1 - p _ i ) [ ( 1 - 2 p _ i ) v _ i \prime D ^ { - 1 } v _ i | fcbefa58-ac0a-11e1-1211-001143e3f55c__mathematical-expression-and-equation_3.jpg |
\mathcal { A } ^ T = \{ f _ \alpha \circ T \} _ { \alpha \in I } | fcc40737-570a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_0.jpg |
x \cup y = g _ 2 ^ * ( x , y ) | fcc40740-570a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_1.jpg |
s = \frac { 3 P 3 } { 2 } | fce611ae-995b-11e8-a805-00155d012102__mathematical-expression-and-equation_0.jpg |
+ r + A \prime \log \rho \prime + A \prime \prime \log \rho \prime \prime + \dots + A ^ { ( k ) } \log \rho ^ { ( k ) } , | fd6681d4-ba24-4f22-b1a3-3f125a7dd4da__mathematical-expression-and-equation_3.jpg |
1 - \gamma ^ 2 = 0 | fd79b087-40e3-11e1-1431-001143e3f55c__mathematical-expression-and-equation_0.jpg |
( x ) = 8 x ^ 3 + 1 0 x | fd79b1a1-40e3-11e1-1431-001143e3f55c__mathematical-expression-and-equation_12.jpg |
+ d _ { \rho + 1 } b _ { \rho + 1 } ( x + 1 ) R _ { \rho } ( x ) + d ^ { 2 } _ { \rho + 1 } A _ { \rho + 1 } ( x ) , | fd79b21a-40e3-11e1-1431-001143e3f55c__mathematical-expression-and-equation_7.jpg |
\lim _ { i \rightarrow \infty } \frac { \parallel x _ { i + 1 } - x ^ * \parallel } { \parallel x _ i - x ^ * \parallel } = 0 | fd92ecd5-ac0a-11e1-1211-001143e3f55c__mathematical-expression-and-equation_0.jpg |
Q \sum _ { i = 1 } ^ { n } \frac { \partial ^ 2 u } { \partial x _ i ^ 2 } = \sum _ { i } \frac { \partial } { \partial y _ i } [ Q h _ i ^ 2 \frac { \partial v } { \partial y _ i } ] | fdacec60-5a87-11e3-9ea2-5ef3fc9ae867__mathematical-expression-and-equation_0.jpg |
+ \Delta c . \log g . \frac { c ^ { x - 1 } } { D _ x } . \sum _ { n = 1 } n . c ^ n . D _ { x + n } - \Delta c . \log g . x . c ^ { x - 1 } . a | fe4823de-40e3-11e1-1278-001143e3f55c__mathematical-expression-and-equation_14.jpg |
r ( 1 + \frac { \sqrt { 3 } } { 3 } ) | fe4824f5-40e3-11e1-1278-001143e3f55c__mathematical-expression-and-equation_1.jpg |
c _ { 0 } = 0 . 5 7 7 2 1 5 6 6 | fe4825c5-40e3-11e1-1278-001143e3f55c__mathematical-expression-and-equation_13.jpg |
\sigma ( z + \omega _ 1 ) = \frac { 2 \omega _ 1 } { \pi } e ^ 2 \eta _ 1 \omega _ 1 v ^ 2 + 2 \eta _ 1 z + \frac { \eta _ 1 \omega _ 1 } { 2 } | fe6878ac-de12-4723-9046-431aedd617e9__mathematical-expression-and-equation_6.jpg |
\delta ^ 0 = \operatorname { a r g m i n } J ( \delta ) , J ( \delta ) = \operatorname { t r } E [ ( \delta ( \xi - \bar { \xi } ) + \bar { x } - x ) ( \delta ( \xi - \bar { \xi } ) + \bar { x } - x ) ^ T ] | fe69c48f-ac0a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_8.jpg |
\Lambda = [ \begin{array} { c c } 0 . 0 1 & 0 . 0 \\ 0 . 0 & 0 . 0 1 \end{array} ] | fe69c4a5-ac0a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_0.jpg |
[ G \prime : G ] \le n | fe781f11-570a-11e1-2028-001143e3f55c__mathematical-expression-and-equation_1.jpg |
H _ \epsilon ( A ) = \frac { L ( b - a ) } { \epsilon } - \frac { 1 } { 2 } \sum _ { i = 1 } ^ { N - 1 } \mathrm { l d } ( 1 + \frac { x _ { i + 1 } - x _ i } { 2 \epsilon } ) + O ( N ) | fe781fb1-570a-11e1-2028-001143e3f55c__mathematical-expression-and-equation_6.jpg |
+ \rho ( A + 2 d ) f ( A + 2 d ) + \dots + \rho ( B ) f ( B ) | ff09781d-40e3-11e1-1418-001143e3f55c__mathematical-expression-and-equation_4.jpg |
\frac { \partial C _ 1 } { \partial x } ( \infty , T ) = 0 | ff35956f-bc37-11e1-1027-001143e3f55c__mathematical-expression-and-equation_4.jpg |
g _ n ( \theta ( t ) ) \le ( 1 - r t ) g _ n ( \theta _ 0 ) + r t g _ n ( \theta _ n ) = r t g _ n ( \theta _ n ) . | ff49c3a2-ac0a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_6.jpg |
R ( g \prime \theta , \widehat { g \prime \theta } ) = E [ ( \widehat { g \prime \theta } - g \prime \theta ) ^ 2 ] = g \prime L \Sigma _ 0 L \prime g + ( g \prime ( I - L Q _ 0 ) \theta - g \prime I ) ^ 2 | ff49c4c2-ac0a-11e1-7963-001143e3f55c__mathematical-expression-and-equation_1.jpg |
[ V _ 1 , V _ 2 ] = - \frac { 2 } { r } V _ 3 | ff505744-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_8.jpg |
g \prime ( c ) \in f ^ { - 1 } ( f ^ { l + 1 } ( a ) ) = f ^ { - 1 } ( g ^ { l + 1 } ( a ) ) | ff5057cf-570a-11e1-7459-001143e3f55c__mathematical-expression-and-equation_0.jpg |
y _ k = \frac { y _ 1 + y _ 2 } { 2 } = \frac { \epsilon N _ 2 \pm a } { p } | ff7a5240-1fac-11e4-a8ab-001018b5eb5c__mathematical-expression-and-equation_0.jpg |
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