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7 z ^ { 3 } ) ] = ?
43d27156-2259-11ea-8d84-001b63bd97ba__mathematical-expression-and-equation_1.jpg
\phi _ { 4 } ^ { k 2 } = \kappa _ { 4 } ^ { 1 2 } \phi _ { 1 } ^ { k 1 } + \kappa _ { 4 } ^ { 3 2 } \phi _ { 3 } ^ { k 3 } + \kappa _ { 4 } ^ { 4 2 } \phi _ { 4 } ^ { k 4 }
4419c736-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_5.jpg
| a _ { 2 } ^ { ( 6 ) } | + \frac { k + 1 } { 2 } | a _ { 1 } ^ { ( 6 ) } | \le 3 k ^ { 2 }
4419c777-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_5.jpg
A _ { 2 } = \{ x \in \ell _ { 2 } : x _ { 1 } < 0 \}
4419c7ea-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_4.jpg
- n _ { 1 } \xi _ { 1 j } ( \lambda _ { 1 } ) \xi _ { 1 k } ( \lambda _ { 2 } ) - \dots ]
44282a8c-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
x \prime \prime \prime = \frac { 1 - \sqrt { - 8 } } { 3 }
44560197-e4c8-4637-b6f2-60779bfdf255__mathematical-expression-and-equation_9.jpg
V = \frac { k _ { 2 1 } } { k _ { 1 2 } }
448d94d4-a681-11e6-adc0-d485646517a0__mathematical-expression-and-equation_8.jpg
N _ { v } = ( 4 0 0 0 0 + 1 0 0 0 0 ) \times 0 . 0 8 + 3 4 0 0 0 \times 0 . 0 2 1 8 5 + 8 0 0 + ( 5 2 5 6 0 +
44c46e84-8bcd-11e7-b19b-005056a54372__mathematical-expression-and-equation_3.jpg
I I ( c _ { 1 } + d _ { 2 } + e _ { 3 } ) = a ^ { 2 } + b ^ { 2 } + c ^ { 3 } + d ^ { 2 } \dots
44e3f94e-722e-43bc-a1b3-48542b571dd9__mathematical-expression-and-equation_4.jpg
\bar { \Lambda } _ { m n } ( x , y ) = \int _ { x } ^ { \pi } \int _ { y } ^ { \pi } D _ { m } ( s ) D _ { n } ( t ) d s d t
458711ec-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_4.jpg
G _ { k } ^ { l } x ( z ) = z ^ { l } \sum _ { s = 0 } ^ { \infty } a _ { l + s k } z ^ { s } \text { a n d } \Theta _ { z E _ { k } } x _ { l } = \sum _ { s = 0 } ^ { \infty } a _ { l + s k } z ^ { s }
458711fa-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_3.jpg
D = B ^ { 1 - p } \{ \frac { p ( B - 1 ) ^ { p - 1 } } { B ^ { p } - ( B - 1 ) ^ { p } } - 1 \}
458712b0-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_4.jpg
P _ { 3 } ( 1 0 , 4 , 2 ) = \{ 1 2 3 4 , 5 6 7 8 , 1 5 9 1 0 \} ,
45871363-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_5.jpg
p + 2 q \le 8
45935389-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_7.jpg
+ ( B - A ) [ ( - 1 ) ^ { k } \frac { 1 } { 2 } ( - \frac { 1 } { k + 1 } - 1 ) \delta ^ { k + 1 } + ( - 1 ) ^ { k } \frac { 1 } { 2 } \delta ^ { k + 3 } -
45c96850-78dc-4b05-bcd6-fefb26adaa68__mathematical-expression-and-equation_5.jpg
f ( \mathbf { V } ) = \mathbf { W }
463fdb31-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_2.jpg
\mathbf { R } \prime = \varkappa _ { 1 } \mathbf { T }
46490e17-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_6.jpg
\overline { \lim } _ { n \rightarrow \infty } B _ { n } ^ { - 2 } \sum _ { k = 1 } ^ { n } | \xi _ { k } - \mathbf { E } \xi _ { k } | ^ { 3 } < \infty , g _ { k } ( x ) \le C _ { k } < \infty , \sum _ { k = 1 } ^ { \infty } a _ { k } C _ { k } ^ { - 2 } = \infty , \text { t h e n }
46490e3d-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
2 - 3 - 0
46fe53c1-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_17.jpg
( x , \alpha ) \in E , g ( x , \alpha ) \le x _ { 1 } \implies V ( x , \alpha ) \le \varkappa _ { 0 } ,
46fe5460-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_6.jpg
\{ n - 2 , 1 ^ { 2 } \} \otimes \{ n - 5 , 5 \} = \{ n - 4 , 4 \} + \{ n - 4 , 3 , 1 \} + \{ n - 5 , 5 \} +
46fe5508-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_17.jpg
B _ { R } ( a + i b ) : = \{ z \in \mathbb { C } | | z - ( a + i b ) | < R \}
4702b6af-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_2.jpg
S _ { 2 } \dots ( d _ { 1 2 } , 0 , 0 )
47595c6e-4789-498c-92ef-93f23e9434a1__mathematical-expression-and-equation_12.jpg
t ^ { l k } _ { ; l } + \rho ( f ^ { k } - a ^ { k } ) = 0
477424c1-8934-4625-8740-13b7e778cd82__mathematical-expression-and-equation_3.jpg
v ( t ) ( \xi ) = \int _ { 0 } ^ { t } I _ { 0 } ( c \sqrt { ( t ^ { 2 } - \tau ^ { 2 } ) } ) w ( \tau ) ( \xi ) d \tau ,
47ac2174-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
L ( y ) \equiv 0
47babaf6-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_3.jpg
s \in [ 0 , 1 )
47babb92-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_12.jpg
\parallel D _ { r } ( x ( \phi _ { \epsilon } , t ) - R _ { y } ( \phi _ { \epsilon } , t ) \parallel _ { K } \le C _ { r } \epsilon ^ { \alpha ( q ) - N _ { r } \prime }
47babc03-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_7.jpg
p = p ( u , v )
48592940-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_8.jpg
x ( t + ) = [ I + \Delta ^ { + } A ( t ) ] x ( t ) + \Delta ^ { + } f ( t )
49056f09-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_2.jpg
\phi ( f , a , x ) = \hat { \phi } ( f , \langle a , x \rangle )
49b13eb5-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_0.jpg
\frac { G v ^ { 2 } } { 2 g } = G \omega l + T f l
4b1821b0-6022-48c6-8dbc-76a5d2dac712__mathematical-expression-and-equation_0.jpg
t = \frac { x - M } { \sigma }
4b897eae-420f-11e1-1586-001143e3f55c__mathematical-expression-and-equation_3.jpg
- 1 2 7 -
4ceca400-50ad-11e6-8746-005056825209__mathematical-expression-and-equation_0.jpg
f ( r , \theta , \phi , t ) = \sum _ { n = 0 } ^ { \infty } V _ { n } ( r ) S _ { n } ( \theta , \phi ) e ^ { i \omega _ { n } t }
4d87ad9c-2c1e-443e-a6e2-4a5785b76c83__mathematical-expression-and-equation_2.jpg
h V _ { 0 } - h V _ { 1 } = h V
4dc8d6a1-e492-4ba2-8b05-9bfb5b3b4327__mathematical-expression-and-equation_0.jpg
\frac { d y } { d x } = \cos x
4dd36bda-1aa7-4b1d-a641-fdaf08fe58bf__mathematical-expression-and-equation_3.jpg
1 2 . \dot { 6 } = 1 2 + \frac { 6 } { 9 } = \frac { 1 1 4 } { 9 }
4dd3ab0e-5030-48e6-a567-56b9c7accdb7__mathematical-expression-and-equation_2.jpg
N = ( a + c + e \& c . ) - ( b + d + \& c . ) + 1 1 ( b + 9 c
4df1699c-22be-11ec-b1c8-001b63bd97ba__mathematical-expression-and-equation_3.jpg
v _ { 1 } = a i , v _ { 2 } = b i , v _ { 3 } = c i
4e6ce4c6-c3dd-4c73-9895-651fb01b9e71__mathematical-expression-and-equation_6.jpg
\pi ^ { 2 } = 0 . 1 0 1 3 2 1
4e7ff729-c073-11e6-ae7e-001b63bd97ba__mathematical-expression-and-equation_35.jpg
\frac { P _ { 1 } } { P _ { 2 } } = t g ( \alpha _ { 1 } + 2 \phi )
4e8045c1-c073-11e6-ae7e-001b63bd97ba__mathematical-expression-and-equation_0.jpg
D _ { v 4 } = \frac { 2 , 6 \times 1 7 , 8 \times 4 } { 1 0 + 5 , 5 + 1 4 , 1 + 1 7 , 8 } = 3 , 9 \%
4ec741d0-cfd0-11ea-9a89-005056825209__mathematical-expression-and-equation_4.jpg
k ^ { V } _ { m } = \frac { M _ { m } } { W _ { m } } = \frac { 5 , 8 0 4 . 9 3 5 } { 6 7 7 7 } = 8 5 6 k g
5003e0b7-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_1.jpg
G _ { 1 } \cos \epsilon = Q . [ \pm \sqrt { r ^ { 2 } \cos ^ { 2 } ( \lambda - \epsilon ) + ( r ^ { 2 } + \Delta ^ { 2 } ) - 2 \Delta r \cos ( \lambda - \epsilon ) } -
516e9310-ef98-11ea-b427-005056825209__mathematical-expression-and-equation_1.jpg
\sigma = \frac { 2 ^ { \frac { 5 } { 3 } } } { 3 ^ { \frac { 3 } { 2 } } } \frac { \Delta ^ { \frac { 1 } { 4 } } } { A ^ { \frac { 1 } { 2 } } }
51e63f8a-9bf0-4173-8d97-c536ec4d8589__mathematical-expression-and-equation_11.jpg
e _ { a } = \phi _ { 1 } ( \nu _ { a } , \nu _ { b } )
527af49a-e425-4234-b4f9-ed8bd03fca36__mathematical-expression-and-equation_5.jpg
\phi = 0 , p x = x y , p y = 0 , m y = l x = p m = 0
52c4dde6-46da-4f69-8de3-d7f87c68c462__mathematical-expression-and-equation_8.jpg
| \begin{array} { c c c } 1 & 1 & 1 \\ a & 1 & c \\ 1 & 0 & 0 \end{array} | = o
53809e72-21ae-410a-9d5a-bd420a7fc312__mathematical-expression-and-equation_7.jpg
( 0 , 9 - ) 1 , 0 - 1 , 1 ( - 1 , 3 )
53c08570-66fa-11e3-99ab-005056825209__mathematical-expression-and-equation_1.jpg
v _ 2 = \frac { 2 \Delta _ 2 } { \overline { P _ 3 P _ 6 } }
555c3120-5d9e-11e6-95c7-005056825209__mathematical-expression-and-equation_10.jpg
- \frac { x } { \sqrt { \frac { r _ m } { r _ i } } }
55eb9718-4d9e-11e1-2028-001143e3f55c__mathematical-expression-and-equation_6.jpg
l o g \overline { A C } ^ 2 = 9 . 4 5 9 0 3 1 4
56387d15-8141-4335-8ffa-eb36d657a788__mathematical-expression-and-equation_0.jpg
+ ( \partial _ j f _ i ( \xi _ i ) - q _ { i j } ) ( \partial _ l f _ i ( \xi _ i ) - q _ { i l } ) \} ( u _ j - v _ j ) ( u _ l - v _ l )
572a5f83-8937-4f48-a97a-53dfeb78a409__mathematical-expression-and-equation_7.jpg
( y ^ 2 - 2 p x ) - ( y y _ 1 - p x - p x _ 1 ) ( p x + y y _ 1 - 3 p x _ 1 ) = 0
5793b3d8-4516-4638-847f-497036d9c972__mathematical-expression-and-equation_9.jpg
p = 1 1 . 5
58e1b3ac-c4d7-11e9-b0b4-001999480be2__mathematical-expression-and-equation_11.jpg
R M S = \sqrt { \frac { 1 } { N } } \sum _ { i = 1 } ^ { N } ( y _ i ) ^ 2
5942e576-5012-46a2-b311-5215ae5e34c2__mathematical-expression-and-equation_0.jpg
\int _ 0 ^ \pi \sin x d x = 2 \int _ 0 ^ { \frac { \pi } { 2 } } \sin x d x = 2
594daf58-7d00-4997-a803-30229e56b062__mathematical-expression-and-equation_3.jpg
( m _ 1 ^ 2 - p ^ 2 ) A _ 1 x ^ { m _ 1 } + ( m _ 2 ^ 2 - p ^ 2 ) A _ 2 x ^ { m _ 2 } + ( m _ 3 ^ 2 - p ^ 2 ) A _ 3 x ^ { m }
594e5e40-39db-11e9-9656-5ef3fc9bb22f__mathematical-expression-and-equation_7.jpg
P : P _ { \prime } = \frac { \mu J l } { r ^ 2 } : \frac { \mu _ { \prime } J _ { \prime } l _ { \prime } } { r _ { \prime } ^ 2 }
597e1ae0-ff1a-11e9-8c48-5ef3fc9bb22f__mathematical-expression-and-equation_0.jpg
\frac { 1 } { s ^ 2 } + 2 \frac { ( x _ 1 - a ) \cos \alpha + ( y _ 1 - b ) \sin \alpha } { t ^ 2 } \cdot \frac { 1 } { s } + 1 = 0
5ada3860-10f9-11e5-b269-5ef3fc9bb22f__mathematical-expression-and-equation_10.jpg
a _ { n , 0 } + a _ { n - 1 , 1 } y \prime _ { \infty } + a _ { n - 2 , 2 } ( y \prime _ { \infty } ) ^ 2 + \dots + a _ { 1 , n - 1 } y \prime _ { \infty } + a _ { 0 , n } y \prime ^ n _ { \infty } = 0
5b2383fb-ae6a-11e7-884e-00155d012102__mathematical-expression-and-equation_10.jpg
k = 2 , 3
5b733212-6769-462d-9a22-f32ca5f4ff75__mathematical-expression-and-equation_5.jpg
K _ { d 1 } = D + \frac { V _ 1 q ^ { n - t _ 1 } + V _ 2 q ^ { n - t _ 2 } + \dots + D _ 1 } { q ^ n - 1 }
5cc40374-4f71-479e-9878-8038f24cc9b4__mathematical-expression-and-equation_2.jpg
2 6 \times 1 7
5ccb6fde-9e21-48ea-93bf-5b3af72d0fe8__mathematical-expression-and-equation_3.jpg
y = - x \sqrt { 2 } + \sqrt { 3 } , y = - x \sqrt { 2 } - \sqrt { 3 }
5d65fa2c-ae6a-11e7-884e-00155d012102__mathematical-expression-and-equation_5.jpg
\eta = \frac { 2 m n } { r }
5dbfadfd-435f-11dd-b505-00145e5790ea__mathematical-expression-and-equation_5.jpg
P _ { 1 3 } = - v _ 3 X _ 3 ,
5deb049e-435f-11dd-b505-00145e5790ea__mathematical-expression-and-equation_11.jpg
J . + 2 2 9 , 6 E
5e4d48cf-435f-11dd-b505-00145e5790ea__mathematical-expression-and-equation_1.jpg
F = \frac { 8 0 0 } { 3 6 0 0 \times 1 . 4 5 } = 0 . 1 6 5 m ^ 2
5ea2b4a7-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_1.jpg
\sphericalangle \alpha + \gamma = 2 R
5f12264b-2259-11ea-8d84-001b63bd97ba__mathematical-expression-and-equation_3.jpg
\delta ^ { 1 3 } C ( \permil ) = [ \frac { ( R _ { \text { s a m p l e } } - R _ { \text { s t a n d a r d } } ) } { R _ { \text { s t a n d a r d } } } ] \times 1 0 ^ 3
615568d0-2a24-11ed-bd55-0050568d9066__mathematical-expression-and-equation_0.jpg
k = \frac { P } { t . s } ( 1 \pm \frac { d } { z } ) = \frac { P } { t . s } ( \frac { z \pm d } { z } )
628dcb96-5e8e-11ed-9d94-00155d01210b__mathematical-expression-and-equation_1.jpg
N p = 1 4 , 7 2
629441bf-03bd-464a-854b-04a15d49b2ec__mathematical-expression-and-equation_7.jpg
4 6 7 - 4 6 9
63def930-6f41-11e1-a6d4-005056a60003__mathematical-expression-and-equation_2.jpg
\frac { \partial ^ 2 F } { \partial x ^ 2 } = F _ { 1 1 } , \frac { \partial ^ 2 F } { \partial y ^ 2 } = F _ { 2 2 } , \frac { \partial ^ 2 F } { \partial z ^ 2 } = F _ { 3 3 }
655f7563-e61c-436f-976f-3d743a4cdb27__mathematical-expression-and-equation_1.jpg
( 2 . ) x = - \frac { a v + b } { a u v - d }
65f60120-da08-4c04-b02b-c24a431f7854__mathematical-expression-and-equation_7.jpg
\gather* 1 2 . 3 5 \times \frac { 8 } { 1 3 } = 9 8 . 8 0 : 1 3 = \text { z l . } 7 . 6 0 \\ 7 8 \gather*
65fd0d9f-e3d9-11e6-9608-001b63bd97ba__mathematical-expression-and-equation_3.jpg
2 8 8 - 1 3 = 2 7 5 ; 2 7 5 : 5 = 5 5
6602b2bc-e3d9-11e6-9608-001b63bd97ba__mathematical-expression-and-equation_2.jpg
+ a q + b q + c q
66204b23-1218-11ec-aa85-00155d012102__mathematical-expression-and-equation_4.jpg
\rcases x = D M . + 1 9 ^ o . 2 7 6 4 ( 9 ^ m . 5 ) A R 1 4 ^ h 5 ^ m 7 ^ s . 8 D + 1 9 ^ o 4 7 \prime . 8 \\ y = D M . + 1 9 ^ o . 2 7 7 3 ( 9 ^ m . 5 ) A R 1 4 ^ h 7 ^ m 5 3 ^ s . 1 D + 1 9 ^ o 4 8 \prime . 8 \rcases \text { B }
6685504d-1001-4741-a1c1-6929aeafe7d2__mathematical-expression-and-equation_1.jpg
\mathcal { S } F _ 1 = \frac { 1 } { T - 1 } ( M A _ { 2 , 1 } + M A _ { 3 , 1 } + \dots + M A _ { T , 1 } )
6747ffe3-7fd6-4c47-9955-e290fd3f8e96__mathematical-expression-and-equation_2.jpg
N _ 1 = 2 \frac { D \cdot \check { S } \cdot L } { P d \cdot V } ( 1 + p ) ,
69a8ca3c-6bff-11e5-aeea-001b21d0d3a4__mathematical-expression-and-equation_0.jpg
m = \frac { 1 } { a } ( b + \sqrt { b ^ 2 - a c } )
6c30484c-a2fa-4cfc-86c5-f161e5e88f17__mathematical-expression-and-equation_2.jpg
C _ n . q = J _ n . p \text { č i l i } \frac { C _ n } { J _ n } = \frac { p } { q }
6c89b373-cb50-a6e8-fd93-5c7f79165568__mathematical-expression-and-equation_15.jpg
= m a x \{ \frac { 1 } { 2 } V , \frac { 3 } { 2 } V - \frac { 1 } { 2 } \} + m i n \{ V , 1 - V \} \mu _ 0 ,
6d095e7f-e0d0-4fb7-9ca3-0720c7141d84__mathematical-expression-and-equation_4.jpg
d ) \frac { 3 2 5 } { 9 7 5 } = \frac { 1 3 } { 3 9 }
6d1cc91f-e3d9-11e6-9608-001b63bd97ba__mathematical-expression-and-equation_3.jpg
D \delta \phi x = \log ( 1 + v ) . f v = f v ( v - \frac { 1 } { 2 } v ^ 2 + \frac { 1 } { 3 } v ^ 3 - \dots ) ;
6e869985-935a-4428-a037-4fa45182a958__mathematical-expression-and-equation_11.jpg
= \frac { 2 } { d } \frac { \partial u } { \partial \eta } + \frac { 2 } { q } \frac { \partial w } { \partial \xi }
70159dc3-4cb3-443c-9e83-00bfb8e76bc7__mathematical-expression-and-equation_3.jpg
p _ 1 = 1 ; p _ 1 v _ 1 ^ 2 = 7 2 9
7144bc56-68d7-42f9-b7b3-3bedb8ef0ed7__mathematical-expression-and-equation_17.jpg
\frac { 4 6 0 . 1 4 2 } { 2 2 8 . 6 8 0 } = 2 0 1 . 2 \%
714d4e0f-e23e-11e6-b2b2-001999480be2__mathematical-expression-and-equation_0.jpg
L = 4 2 7 c _ p ( T _ 2 - T _ 0 ) \cdot ( 1 - \frac { T _ 1 } { T _ 2 } )
71c2f2d9-c1f2-11eb-a5d1-001b63bd97ba__mathematical-expression-and-equation_1.jpg
\alpha _ { 0 t \prime } = \frac { 1 } { n }
7252c5cb-8ab0-46bb-b523-71f989545e95__mathematical-expression-and-equation_2.jpg
= l \cotg ( \frac { \pi } { 4 } - \frac { y } { 2 } ) + C = l \tg [ \frac { \pi } { 2 } - ( \frac { \pi } { 4 } - \frac { y } { 2 } ) ] + C =
72cdbaae-2d84-4623-93e6-96451b26f19e__mathematical-expression-and-equation_10.jpg
P e = \frac { 2 \alpha _ r a ^ 3 } { D _ 0 }
7327168c-8061-447e-b519-043aead03015__mathematical-expression-and-equation_2.jpg
\frac { c } { h } = 0 , 0 6 6
734c5eab-818e-4df1-963c-87c2dad20ce0__mathematical-expression-and-equation_2.jpg
y \prime = \overset { n } { \underset { i } { \mathcal { C O } } } \{ U _ \rho x \prime + V _ \rho \} = \phi ( x \prime )
73f552d1-b934-11e1-1457-001143e3f55c__mathematical-expression-and-equation_3.jpg
\omega ^ { 0 } = 1 8 0 ^ { 0 } - ( 2 \arcsin ( \cos \rho - \frac { a } { r } \sin \rho ) + \rho ^ { 0 } )
74df3cd6-b934-11e1-1027-001143e3f55c__mathematical-expression-and-equation_4.jpg
m _ c = \pm \sqrt { ( 1 , 5 \text { m m } ) ^ 2 + ( ( 2 , 5 \dots 7 , 5 ) \cdot 1 0 ^ { - 5 } . s ) ^ 2 } .
75284eba-2622-11e9-9a7b-801844f3cd1c__mathematical-expression-and-equation_0.jpg
C A : A B = P _ 2 : ( P _ 1 - P _ 2 )
774bd660-de9d-11e7-8cdd-5ef3fc9bb22f__mathematical-expression-and-equation_2.jpg