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\mathfrak { A } ) _ { v } = 8 E J _ { o } \delta \epsilon \frac { h } { l ^ { 2 } + 8 h ^ { 2 } }
1f382a37-9c7a-4355-af65-c71a6907cdfa__mathematical-expression-and-equation_5.jpg
W = 5 . 3 0 8 \times 0 . 0 1 5 = 8 0 \text { O h m } ;
5f9431f0-00cf-11eb-916b-5ef3fc9bb22f__mathematical-expression-and-equation_9.jpg
w = \frac { N p } { t g \alpha }
329ff308-87f8-4a23-b9cf-22021f5abd13__mathematical-expression-and-equation_7.jpg
R _ { 1 } = - x _ { 4 } x _ { 5 } ( 1 + \lambda _ { 1 } ) ,
079fa6ba-40e4-11e1-8339-001143e3f55c__mathematical-expression-and-equation_5.jpg
\sum _ { i = 1 } ^ { n } 1 / x _ { j } = a / b
49b13f44-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_7.jpg
\bar { b } c = \omega _ { 1 } L _ { 1 } J _ { 1 } ( 1 - \sigma ) \frac { x } { \sqrt { 1 + x ^ { 2 } } }
08084bbd-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_15.jpg
+ \Delta _ { 3 } ( e ^ { N } ) . \int _ { \{ | 2 ( \sqrt { \lambda _ { n , h } } - 1 ) | > \epsilon \} \cap B _ { n , N } }
0024ba86-ac0b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_16.jpg
\int _ { x \prime \prime \prime } ^ { x \prime \prime \prime \prime } y \partial x + \int _ { x \prime \prime \prime } ^ { x \prime \prime \prime \prime } u \partial x = \int _ { x \prime \prime \prime } ^ { x \prime \prime \prime \prime } y _ { 1 } \partial x + \int _ { x \prime \prime \prime } ^ { x \prime \prime \pr...
53784c9d-30fa-4688-8585-30b9b60edc48__mathematical-expression-and-equation_4.jpg
+ \frac { \alpha _ { 1 } \gamma _ { 1 } } { p _ { 1 } } f _ { 1 } f _ { 3 } + \frac { \beta _ { 1 } \gamma _ { 1 } } { p _ { 1 } } f _ { 2 } f _ { 3 } + \frac { \gamma _ { 1 } \gamma _ { 1 } } { p _ { 1 } } f _ { 3 } f _ { 3 } + \dots
8e3eb976-f46c-11e7-ae40-001b63bd97ba__mathematical-expression-and-equation_2.jpg
\begin{array} { c c c c c c c } & \text { F e } & \text { A g } & \text { C u } & \text { P b } & \text { P t } & \text { N i } \\ \alpha . 1 0 ^ { 6 } & + 1 7 , 1 5 & + 2 , 1 2 & + 1 , 3 4 & 0 , 0 & - 0 , 6 0 & - 2 1 , 8 \\ \beta . 1 0 ^ { 6 } & - 0 , 0 4 8 & + 0 , 0 1 5 & + 0 , 0 0 9 & 0 , 0 & - 0 , 0 1 1 & - 0 , 0 5...
45885af0-f0e4-11e2-9439-005056825209__mathematical-expression-and-equation_4.jpg
- \frac { r } { R a } - \frac { 2 } { a } ) + \frac { 1 6 v - 1 7 } { 4 R r } s ^ { 2 } + b ( \frac { 3 } { 2 R } + \frac { 2 r } { a } ( \frac { b } { s } ) ^ { 2 } + ( 2 v - 1 ) ( 4 - \frac { r } { R } ) ] n _ { r } +
9f78db5d-ae15-4865-be6f-0dc2fb2f4ea7__mathematical-expression-and-equation_6.jpg
\frac { Q V _ { 2 } ^ { 2 } } { 2 g } \alpha _ { 2 } = W r ( \frac { \pi - 2 } { 2 \pi } ) \dots 7 )
04a6f5cd-dbf5-11e6-a7df-001b63bd97ba__mathematical-expression-and-equation_6.jpg
w _ { i } = H _ { i } x _ { i }
039047c6-ac0b-11e1-7963-001143e3f55c__mathematical-expression-and-equation_3.jpg
B ( Z ) = \frac { \int _ { 0 } ^ { E _ { m a x } } \sigma ^ { \pi } ( E ) N ( E ) d E } { \int _ { 0 } ^ { E _ { m a x } } E N ( E ) d E }
9d8e639f-4334-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
Q _ { s i } = 1 + \frac { u _ { 2 } } { U }
9a4ea091-4334-11e1-1589-001143e3f55c__mathematical-expression-and-equation_5.jpg
- ( X d x + Y d y + Z d z ) = d U
51d36ba0-0c73-11e4-8413-5ef3fc9ae867__mathematical-expression-and-equation_5.jpg
y \prime = \frac { f _ { 1 } f _ { 2 } } { \Delta } \frac { y } { x }
2438f5e0-1b94-11e4-8e0d-005056827e51__mathematical-expression-and-equation_6.jpg
\mathbf { a } _ { k } \alpha + \mathbf { a } _ { 1 } ( x _ { 1 } - \alpha a _ { 1 k } ) + \mathbf { a } _ { 2 } ( x _ { 2 } - \alpha a _ { 2 k } ) + \dots + \mathbf { a } _ { r } ( x _ { r } - \alpha a _ { r k } ) + \dots
17ebdd42-3c62-11e1-8486-001143e3f55c__mathematical-expression-and-equation_4.jpg
\{ P _ { n ( \Lambda _ { \theta _ { 0 } } + \frac { 1 } { \sqrt { n } } h ) } \}
0024ba88-ac0b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_9.jpg
\frac { 1 } { p Z ( p ) } = \int _ { 0 } ^ { \infty } A ( t ) e ^ { - p t } d t .
08ebfcc4-40e4-11e1-1418-001143e3f55c__mathematical-expression-and-equation_2.jpg
0 = a t j t + b j t + d t
01d92630-570b-11e1-7459-001143e3f55c__mathematical-expression-and-equation_10.jpg
x - x _ { 0 } = \theta
039b5170-9944-11de-9613-0030487be43a__mathematical-expression-and-equation_5.jpg
\mathrm { p } \cap \mathrm { p } \prime < \mathrm { p } ,
4c97a13c-ab88-4e31-b611-8544a3052e6e__mathematical-expression-and-equation_4.jpg
\frac { e ^ { 2 } } { 4 } = D ^ { 1 } _ { 2 }
5c30c26f-6bff-11e5-aeea-001b21d0d3a4__mathematical-expression-and-equation_22.jpg
i _ { 1 } = 2 I _ { 1 } + 3
71d128dd-4abf-42d2-adf2-36f7c75c3efe__mathematical-expression-and-equation_7.jpg
= \int _ { B } \int _ { B } \frac { 1 } { A } f ( z ) d \kappa _ { m - 1 } ( z ) d v ( x ) = 0
3bb9a7d3-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_1.jpg
m _ { T } \cdot C ^ { 2 } | v _ { T } ( z , t ) | e ^ { i \omega _ { c } t } - G I _ { T } \cdot D ^ { 2 } | v _ { T } ( z , t ) | e ^ { i \omega _ { c } t } ( 1 + i \delta _ { T } / \pi ) =
1f7999cd-3c62-11e1-7459-001143e3f55c__mathematical-expression-and-equation_7.jpg
L P ( 0 ) = L P _ { m i n } - \frac { F P _ { m i n } } { k ^ { * } }
227c99f0-ed5f-11ec-95f3-005056827e51__mathematical-expression-and-equation_1.jpg
\rcases t _ { 0 } = \alpha _ { 1 } x _ { 0 } + x _ { 1 } \\ t _ { 1 } = x _ { 0 } + \alpha _ { 1 } x _ { 1 } \rcases
6e081ab0-148e-11de-b5d5-0030487be43a__mathematical-expression-and-equation_0.jpg
[ A _ { 1 1 } + n ( n + 1 ) p ^ { 2 } ] u ^ { 2 } + 2 n ( n + 1 ) p q u v + [ A _ { 2 2 } + n ( n + 1 ) q ^ { 2 } ] v ^ { 2 } +
3f3ca384-df28-11e1-1154-001143e3f55c__mathematical-expression-and-equation_5.jpg
w = a _ { 0 } + a _ { 1 } z + a _ { 2 } z ^ { 2 } + \dots + a _ { n } z _ { n } + \dots ,
9acc1850-7d97-11e7-921c-5ef3fc9ae867__mathematical-expression-and-equation_1.jpg
[ p v ] = 0 ,
0561c666-a56b-f851-ec31-04d636e3359c__mathematical-expression-and-equation_9.jpg
T = | \begin{array} { c c c c } A _ { r , \alpha - r } & A _ { r , \beta - r } & A _ { r , \gamma - r } & . \\ A _ { r + \alpha \prime - \alpha , \alpha - r } & A _ { r + \alpha \prime - \alpha , \beta - r } & \dots & . \\ A _ { r + \alpha \prime \prime - \alpha , \alpha - r } & A _ { r + \alpha \prime \prime - \alpha ...
0551bf31-40e4-11e1-1726-001143e3f55c__mathematical-expression-and-equation_5.jpg
= W ( x _ { 1 } , x _ { 2 } , \dots , x _ { k } , x _ { k + 1 } ) ( a _ { j } + \epsilon )
46fe54a9-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_9.jpg
= e ^ { 2 \pi ( f _ { * } ( x ) + n + j + 1 ) i } = e ^ { 2 \pi f _ { * } ( x ) i } = f ( e ^ { 2 \pi x i } )
07df0b68-570b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_1.jpg
Q = 2 4 . 3 6 0 0 \frac { 1 0 2 N } { 1 0 0 0 H \eta }
2bbdfa50-fc9a-11e2-9439-005056825209__mathematical-expression-and-equation_0.jpg
\le c ^ { * } \cdot \parallel ( u _ { \delta } ) ^ { 0 } ( \cdot , t ) \parallel _ { W _ { p } ^ { 2 } ( \mathbb { R } ^ { n - 1 } \times ( - \delta / 2 , \infty ) ) } \le c ^ { * } \cdot \parallel u ( \cdot , t ) \parallel _ { W _ { p } ^ { 2 } ( Q _ { + } ^ { n } ( \alpha , \beta }
0c39d915-570b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_8.jpg
1 1 0 \times 1 . 1 8 6 = 1 3 0 . 5
94db40e5-2b65-4b8a-9d30-2943ed982e0d__mathematical-expression-and-equation_1.jpg
[ p ] x - [ p b ] y - [ p c ] z - [ p l ] = 0
9b195470-c4a3-a7cc-1cc9-3fa25cf1d5e6__mathematical-expression-and-equation_6.jpg
A _ { n _ { 1 } \dots n _ { p } } = \frac { 1 } { \Gamma ( s ) } \sum _ { \alpha = 1 } ^ { p } C _ { \alpha } \frac { \pi } { \sin s \pi } [ \frac { 2 \pi i } { c _ { \alpha } } ( n _ { \alpha } - v _ { \alpha } ) ] ^ { s - 1 } ,
89e0ffb6-0634-4e2a-9db7-cc211142cc98__mathematical-expression-and-equation_1.jpg
x \cdot \frac { \partial F } { \partial x } + y \cdot \frac { \partial F } { \partial y } + z \cdot \frac { \partial F } { \partial z } = 0
2fd77d12-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_0.jpg
Q _ { 1 } = Q _ { 2 } = Q _ { 3 }
2168a3b5-c5fa-4012-a710-43918d3ab685__mathematical-expression-and-equation_2.jpg
3 r \prime + l \prime = 3 ( r \prime + 1 ) - 2 l \prime = 3 ( r + 1 ) - 2 l \prime
5d3bd029-972d-4471-b711-26afadf395c2__mathematical-expression-and-equation_14.jpg
\Delta \phi = \frac { v \Delta t } { r } , \Delta v _ { n } = v \prime \Delta \phi = \frac { v \prime v } { r } \Delta t ,
1da46920-f0e4-11e2-9439-005056825209__mathematical-expression-and-equation_2.jpg
M S f g
5ef7f9d8-c417-4682-9905-8c0a5beef123__mathematical-expression-and-equation_0.jpg
\xi = \alpha _ { 1 } t
53d28b90-d7ae-11ea-b03f-5ef3fc9bb22f__mathematical-expression-and-equation_4.jpg
- 2 x + 4 T ( x , y ) - T ( x , x ) + T ( y , y ) \le 0
0469dd78-ac0b-11e1-1090-001143e3f55c__mathematical-expression-and-equation_2.jpg
| \tau _ { 2 } - \tau _ { 1 } | \le \sigma
4094a2c7-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_5.jpg
T = \frac { Q } { 2 }
4e80e19c-c073-11e6-ae7e-001b63bd97ba__mathematical-expression-and-equation_8.jpg
\prime \delta u ^ { h } = d u ^ { h } + \Lambda ^ { k } _ { J i } u ^ { i } ( d \xi ) ^ { J }
0efce001-40e4-11e1-2755-001143e3f55c__mathematical-expression-and-equation_3.jpg
Z ^ { ( k - 1 ) } ( t _ { 0 } ^ { k } ) \neq 0
0c39d9e9-570b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_1.jpg
\frac { d ^ { 2 } u } { d x ^ { 2 } } + ( q _ { 2 } - \frac { 1 } { 4 } q _ { 1 } ^ { 2 } - \frac { 1 } { 2 } q _ { 1 } \prime ) u = 0 .
6d40e55e-39b9-4212-85ed-b190817cc1dc__mathematical-expression-and-equation_0.jpg
\mathcal { L } ^ { i } = \frac { 1 } { 2 } \int _ { V } \sigma _ { i j } e _ { i j } d V
5fbe9849-e504-4a7d-a78b-28e44a4421c0__mathematical-expression-and-equation_0.jpg
\align* 1 7 & - 7 & & = & 1 0 \\ 1 7 & - 8 & ( - 7 - 1 ) & = & 9 \\ 1 7 & - 9 & ( - 7 - 2 ) & = & 8 \\ 1 7 & - 1 0 & ( - 7 - 3 ) & = & 7 \align*
3378af50-1030-11e5-ae7e-001018b5eb5c__mathematical-expression-and-equation_11.jpg
\sqrt { x } ;
084a3f02-40e4-11e1-1418-001143e3f55c__mathematical-expression-and-equation_5.jpg
R _ { x \prime } ( \phi , t ) = ( R _ { x \prime _ { 1 } } ( \phi , t ) , \dots , R _ { x \prime _ { n } } ( \phi , t ) ) ^ { T }
47babbfc-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_8.jpg
t > 0
08bd5ccd-570b-11e1-7459-001143e3f55c__mathematical-expression-and-equation_8.jpg
v = 1 . 2 0 m
28baa56d-6761-11e9-bca3-001999480be2__mathematical-expression-and-equation_12.jpg
n Z _ { 0 } z ^ { n - 1 } + ( n - 1 ) Z _ { 1 } z ^ { n - 2 } + \dots + Z _ { n - 1 } = 0
9c7b00d0-7d97-11e7-921c-5ef3fc9ae867__mathematical-expression-and-equation_2.jpg
( \frac { F _ { o } } { F _ { \iota 0 } } ) ^ { 2 } = 0 , 3 6 8 1 6
0011ea20-bc38-11e1-1211-001143e3f55c__mathematical-expression-and-equation_4.jpg
T = \epsilon \log \Delta ^ { \circ } + 1 ^ { \circ }
3d1f72ce-ec08-49a7-a9ec-45180104d497__mathematical-expression-and-equation_0.jpg
N = 0 ; \gamma ^ { * } = 1 / 3 0 ; \theta ^ { * } = 1 . 4 ; \mu = 0 . 3 ; \kappa = 1 0 ^ { - 2 } ; \lambda = 0 . 0 3 ; \rho = 1 / 6 0
153e6ec1-3c62-11e1-1589-001143e3f55c__mathematical-expression-and-equation_4.jpg
r x _ { 0 } + - p _ { 1 } \sigma = 0 .
27e827a1-df3d-11e1-1027-001143e3f55c__mathematical-expression-and-equation_5.jpg
A = \frac { P . x b } { a b }
7b144b10-04d9-11e5-91f2-005056825209__mathematical-expression-and-equation_2.jpg
6 m - 2 m = 4 m
1c278840-14e4-11e5-9192-001018b5eb5c__mathematical-expression-and-equation_3.jpg
\sin ( a x + \alpha ) \sin ( b x + \beta )
14fefca0-0a0b-11e3-9439-005056825209__mathematical-expression-and-equation_10.jpg
\frac { c } { b } \sqrt { b b - x x } ^ { 9 } )
3dd2f884-e41f-4c6a-aacf-062a1f31be33__mathematical-expression-and-equation_3.jpg
\sum _ { i = 1 } ^ { \infty } \psi _ { a } ( \alpha _ { i } )
0024baab-ac0b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_1.jpg
\int _ { a } ^ { b } w ( x ) ( \int _ { a } ^ { x } p ^ { - 1 } ( t ) d t ) ^ { \eta } d x = \infty
01d92655-570b-11e1-7459-001143e3f55c__mathematical-expression-and-equation_0.jpg
\mu = \mu _ { 0 } = - \frac { 1 } { 2 } ( 2 + \gamma ) + \frac { 1 } { 2 } \sqrt { ( 4 + \gamma ^ { 2 } ) }
3b0c5023-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_3.jpg
+ \frac { 9 } { 4 } ( 1 - \frac { | \Delta l | } { l } ) ^ { 2 } ] ^ { 1 / 2 }
19c168f7-7c23-4cd3-99dd-07ef5510ffe8__mathematical-expression-and-equation_2.jpg
\sin ^ { 2 } \phi = \frac { z ^ { 2 } } { a ^ { 2 } }
5fac6741-9c00-44ba-aebf-f1bc7045e74b__mathematical-expression-and-equation_8.jpg
2 . \genfrac { ( } { ) } { 0 p t } { } { 4 } { 3 } = 1 2 0 .
05f7ea40-40e4-11e1-1418-001143e3f55c__mathematical-expression-and-equation_8.jpg
+ | | V _ { 1 } | - | V _ { 2 } | | + | | V _ { 2 } | - | V _ { 3 } | | - | | V _ { 1 } | - | V _ { 3 } | | ,
3b0c51c3-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_4.jpg
t = \frac { t _ { 1 } - t _ { 2 } } { \ln r _ { 1 } - \ln r _ { 2 } } \cdot \ln r + \frac { t _ { 2 } \ln r _ { 1 } - t _ { 1 } \ln r _ { 2 } } { \ln r _ { 1 } - \ln r _ { 2 } }
0f6d5b4a-5308-11ea-8ddc-00155d012102__mathematical-expression-and-equation_6.jpg
A _ { 2 3 } = A _ { 2 1 }
249e4a60-3c62-11e1-1211-001143e3f55c__mathematical-expression-and-equation_7.jpg
\Delta Q = \frac { F _ { m } + F _ { m + 1 } } { 2 } \Delta u
79bf0e00-e3eb-11e2-b28b-001018b5eb5c__mathematical-expression-and-equation_0.jpg
a _ { 2 0 } + a _ { 2 1 } x _ { 0 } + a _ { 2 2 } y _ { 0 } + a _ { 2 3 } z _ { 0 } = 0
0a6a7c00-3e68-4146-a8c5-66b7dfef6b35__mathematical-expression-and-equation_9.jpg
A _ { 1 } B _ { 2 } - A _ { 2 } B _ { 1 } = 0
11f9f18c-3c62-11e1-8339-001143e3f55c__mathematical-expression-and-equation_3.jpg
[ p c c . 2 ] = [ p c c . 1 ] - \frac { [ p b c . 1 ] } { [ p b b . 1 ] } . [ p b c . 1 ] ,
4a88cd72-c406-4784-a346-12a713d0c33c__mathematical-expression-and-equation_3.jpg
\vec { p } ( n ) = ( p _ { 1 } ( n ) , p _ { 2 } ( n ) , \dots , p _ { 5 } ( n ) )
53c77add-420f-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
t \in \mathbb { G } _ { 3 } ( x ) \cup \mathbb { G } _ { 4 } ( x )
0c39d9ee-570b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_4.jpg
+ K e ^ { j \alpha } e ^ { \mathbf { p } _ { 2 } t } [ \frac { \mathbf { C } _ { R 2 } } { \mathbf { p } _ { 2 } } e ^ { j \beta } ( 1 - e ^ { - \mathbf { p } _ { 2 } t } ) - ( \frac { \mathbf { C } _ { S 1 } } { \mathbf { p } _ { 1 } } + \frac { \mathbf { C } _ { S 2 } } { \mathbf { p } _ { 2 } } )
1f799c43-3c62-11e1-7459-001143e3f55c__mathematical-expression-and-equation_2.jpg
d _ { 0 } = \sqrt { \frac { 1 6 P l _ { 2 } } { 3 \pi k _ { 3 } l } }
4e80e1af-c073-11e6-ae7e-001b63bd97ba__mathematical-expression-and-equation_1.jpg
q = \frac { 2 \cdot 1 1 0 \cdot 6 \cdot 7 } { 6 0 \cdot 4 } = 2 4 \cdot 4 m m ^ { 2 }
3a238330-d411-4242-89cd-bc02279b37a2__mathematical-expression-and-equation_0.jpg
t \ge t _ { 1 }
0c39d9ab-570b-11e1-5298-001143e3f55c__mathematical-expression-and-equation_11.jpg
T _ { 0 } = 4 ^ { s } , V _ { 0 } = 6 0 , \epsilon : 1 = 4 , r / T _ { 0 } ^ { 2 } = 0 . 0 4 \text { m m } / \text { s } ^ { 2 } .
64bae653-18ca-4083-aa51-7c473bab2de7__mathematical-expression-and-equation_0.jpg
\int _ { 0 } ^ { \infty } | \mu | ( Q _ { \tau } ) d \tau \le 2 ^ { N } \int _ { 0 } ^ { ( s r ) ^ { - p _ { j } } } v ^ { m } ( \tau ^ { - 1 / \beta _ { j } } , \mu ) d \tau = 2 ^ { N } \beta _ { j } \int _ { s r } ^ { \infty } v ^ { m } ( t , \mu ) t ^ { - \beta _ { j } - 1 } d t
39b0dff2-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_1.jpg
- \frac { \pi \cdot d ^ { 3 } } { 6 } \cdot \rho _ { p } \cdot f \cdot \frac { ( C \cdot t - D ) } { [ 1 + \frac { B ^ { 2 } } { v _ { s } ^ { 2 } } ] ^ { \frac { 1 } { 2 } } } = 0
01b191b0-bc38-11e1-1586-001143e3f55c__mathematical-expression-and-equation_4.jpg
L _ { n } ^ { m } = q _ { 3 } P _ { n } ^ { m } ( \eta _ { 0 } ) Q _ { n } ^ { m } ( E _ { 2 } )
6f47237f-2895-479b-8f15-a7dec7c22569__mathematical-expression-and-equation_2.jpg
\le c [ \frac { 1 } { m } + \int _ { T } ^ { t } \frac { d s } { s \omega ( g ( s ) ) } + \int _ { T } ^ { t } \frac { | [ \omega ( g ( s ) ) ] \prime | } { \omega ^ { 2 } ( g ( s ) ) } d s ] < \infty
03921ff6-570b-11e1-1211-001143e3f55c__mathematical-expression-and-equation_1.jpg
\lim _ { x \rightarrow \infty } \epsilon f ( x ) = \infty
47babc60-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_6.jpg
\sqrt { v _ { 2 } } = \phi ^ { 2 } ( \epsilon ) + \theta ^ { 2 } \phi ^ { 2 } ( \alpha \epsilon ) + \dots + \theta ^ { 2 n - 2 } \phi ^ { 2 } ( \alpha ^ { n - 1 } \epsilon ) ,
4791abf5-1bc8-42b4-821a-f98f5c6e8465__mathematical-expression-and-equation_7.jpg
d _ { 6 X 5 } = 1
3f277f27-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_13.jpg
\langle ( \lambda _ { 1 } I - A ) z _ { n } , z _ { n } \rangle \ge ( \lambda _ { 1 } - M ) \parallel z _ { n } \parallel ^ { 2 }
37a928d0-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_8.jpg
[ r , \frac { a ^ { 2 } } { b } , \frac { m a } { b } ]
68c27795-2993-442a-95f7-bd48a2dad6e8__mathematical-expression-and-equation_4.jpg
V ^ { ( d ) N } _ { ( t ) } = \sum _ { 1 } ^ { t } K P ^ { ( d ) } ( 1 + i ) ^ { ( t + 1 - K ) } + \sum _ { 1 } ^ { t } K q _ { ( K - 1 ) } V ^ { ( d ) N } _ { ( K ) } ( 1 + i ) ^ { ( t - K ) }
9e9bd45c-0e5a-11eb-b87e-005056a54372__mathematical-expression-and-equation_1.jpg
\align* 1 & = \frac { 6 0 } { 6 0 } \\ \frac { 1 } { 3 } & = \frac { 2 0 } { 6 0 } , \\ \frac { 1 } { } & - \frac { 1 0 } { } \align*
7b478b67-3637-11ec-8869-001b63bd97ba__mathematical-expression-and-equation_6.jpg
= 1 4 + 1 \frac { 1 } { 4 } + 1 = 1 6 \frac { 1 } { 4 }
2bf5673d-435f-11dd-b505-00145e5790ea__mathematical-expression-and-equation_40.jpg
c = c ^ { * } , e = e ^ { * } ,
9686c344-4334-11e1-1331-001143e3f55c__mathematical-expression-and-equation_22.jpg