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\frac { \partial \sigma } { \partial v } = \cos \lambda
2d671acf-ed86-4edd-9509-9bcffc749c80__mathematical-expression-and-equation_3.jpg
\mu = \sqrt { \frac { \pi } { 2 } }
2e3bee70-ee52-11ea-9a6f-5ef3fc9ae867__mathematical-expression-and-equation_16.jpg
1 0 ^ { \frac { 1 } { 1 6 } } = \sqrt { 1 . 3 3 3 5 2 1 } = 1 . 1 5 4 7 8 2
2e44c0a0-2eee-11e5-b57a-005056825209__mathematical-expression-and-equation_0.jpg
d : \alpha = 0 . 9 2 s c m ^ { - 1 } ( r _ { m } = 1 . 5 s c m ^ { - 1 } )
2e54f660-4ce4-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
\Delta _ { m } = \sum _ { \alpha \ge \beta \ge 0 } z ( m - \alpha n - \beta , n ) - \frac { 1 } { 2 } E ( \frac { m - 1 } { n + 1 } ) E ( \frac { m - 1 } { n + 1 } + 1 )
2eadb511-df3d-11e1-1872-001143e3f55c__mathematical-expression-and-equation_6.jpg
D _ { m } ^ { p + q } = \frac { R r } { d _ { m } }
2ec83581-48e8-440b-a8a2-d849ff9530bf__mathematical-expression-and-equation_2.jpg
x ^ { 2 } = 2 5 .
2ecc5430-14e4-11e5-9192-001018b5eb5c__mathematical-expression-and-equation_33.jpg
\int \frac { d x } { 1 - \cos x } = - \cot \frac { x } { 2 } + C
2ee7ef00-63b1-11e3-bc9f-5ef3fc9bb22f__mathematical-expression-and-equation_8.jpg
a ^ { 2 } = b ^ { 2 } + c ^ { 2 } - 2 b c \cos \alpha \dots
2f308d32-af44-4564-958a-8303616d1203__mathematical-expression-and-equation_11.jpg
A : ( A - E ) \dots b
2f8d1f20-2eee-11e5-b57a-005056825209__mathematical-expression-and-equation_14.jpg
\iint _ { \Omega } f ( x , y ) d x d y = \lim _ { \omega } \iint _ { \Omega - \omega } f ( x , y ) d x d y
304edeb0-5d32-11e3-9ea2-5ef3fc9ae867__mathematical-expression-and-equation_1.jpg
\frac { 2 } { 3 } , \frac { 4 } { 5 } , \frac { 6 } { 7 } , \frac { 5 } { 1 4 } , \frac { 1 1 } { 1 5 }
3061abe3-91a3-4a3b-8472-0367a6622fd5__mathematical-expression-and-equation_5.jpg
l _ { F } F = ( b _ { A } - \frac { 1 } { 3 } l _ { A } ) F _ { A } + ( b _ { B } - \frac { 1 } { 3 } l _ { B } ) F _ { B }
30da51a1-7580-4af1-a594-cead5bb5993b__mathematical-expression-and-equation_2.jpg
\rho _ { 3 } = 0 , 5 7 7 1 9 \sqrt { \frac { [ | \epsilon | ] ^ { 3 } } { n } } ( 1 \pm \frac { 0 , 4 9 7 2 0 } { \sqrt { n } } )
3143d740-ee52-11ea-9a6f-5ef3fc9ae867__mathematical-expression-and-equation_2.jpg
( a _ { k } - u _ { p } ) ( u _ { k } - k u _ { p } )
3161fd26-df3d-11e1-1872-001143e3f55c__mathematical-expression-and-equation_3.jpg
b ^ { 2 } = \frac { 1 - \cos \omega _ { 1 } - \cos \omega _ { 2 } + \cos \omega _ { 3 } } { 3 - \cos \omega _ { 1 } - \cos \omega _ { 2 } - \cos \omega _ { 3 } } ,
31b73743-dc04-11e7-bc7e-00155d012102__mathematical-expression-and-equation_8.jpg
( \alpha _ { 2 2 } - \omega ^ { 2 } ) b \equiv - e \cdot c \omega
324ab146-df3d-11e1-1027-001143e3f55c__mathematical-expression-and-equation_6.jpg
q = \frac { \mu } { 2 } ( v - k ) ^ { 2 } \sqrt { 2 g c } \int \frac { z ^ { 2 } d z } { \sqrt { z ^ { 2 } + 1 } }
3274e3aa-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_18.jpg
+ \frac { 1 } { 2 } \sum m [ ( \frac { d \xi _ { k } } { d t } ) ^ { 2 } + ( \frac { d \eta _ { k } } { d t } ) ^ { 2 } + ( \frac { d \zeta _ { k } } { d t } ) ^ { 2 } ]
3274e3ab-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_6.jpg
b \doteq b _ { 1 } \doteq b _ { 2 } \doteq b _ { 3 }
3274e3ad-dbba-11e6-8be1-001b63bd97ba__mathematical-expression-and-equation_12.jpg
v = m 4 K + v 2 i K \prime - u
32792ea9-bc81-43fb-a786-e7f6ea1dc1e4__mathematical-expression-and-equation_4.jpg
N - M - 2 m _ { s } \le m _ { s } \le \frac { 1 } { 2 } ( N - 3 m _ { s } )
33204f77-df3d-11e1-1431-001143e3f55c__mathematical-expression-and-equation_6.jpg
p ^ { 2 } : q ^ { 2 } = a ^ { 2 } : x ^ { 2 } = b ^ { 2 } : y ^ { 2 } = c ^ { 2 } : z ^ { 2 } \text { o d }
33badfe0-c575-11e7-80e7-5ef3fc9bb22f__mathematical-expression-and-equation_5.jpg
c _ { 2 1 } b _ { 1 1 } + c _ { 2 2 } b _ { 2 1 } = a _ { 2 1 }
3450870a-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
- \phi ^ { \prime 2 } [ ( q ( \phi ) - \bar { q } ( \phi ) ) + ( \bar { q } ( \phi ) - \bar { q } ( \bar { \phi } ) ) ] \le | q ( t ) - \bar { q } ( t ) | +
345087fe-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_10.jpg
\partial M = \partial ( R ^ { m } - \overline { M } )
34508879-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
( f \in \mathcal { A } , \parallel f _ { 0 } - f \parallel _ { \mathcal { } } { B } < \epsilon ) \implies f \in M _ { k }
34fd1ace-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1
3569ab40-bb47-41e5-a81d-ec4e96e049ad__mathematical-expression-and-equation_4.jpg
0 \le x \le 1
35a8c55b-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_2.jpg
+ \frac { 2 c f x } { e } - \frac { f f x x } { e e }
35a8eda7-fcdb-43cc-b828-1bd03d3164b0__mathematical-expression-and-equation_0.jpg
S = \frac { 1 } { 2 } b \cdot \gamma \cdot h ^ { 2 } \cdot \text { t g } ^ { 2 } ( 4 5 - \frac { \phi } { 2 } )
363baca0-e718-11e5-8d5f-005056827e51__mathematical-expression-and-equation_0.jpg
B ) \sum \phi _ { i } ^ { i } B ^ { i } = S ( B ) = 1 - s _ { 1 } B - \dots - s _ { q + T - 1 } B ^ { q + T - 1 }
36546d61-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_14.jpg
l = [ \frac { n } { 2 } ] - 2
36546df2-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
d \omega _ { 1 } ^ { 2 } = - \omega _ { 1 } ^ { 3 } \wedge \omega _ { 2 } ^ { 3 }
36546df9-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_19.jpg
x \le \bar { c } \le \bar { d } \le y , x \le \bar { \bar { c } } \le \bar { \bar { d } } \le y , x \le \bar { z } \le y , x \le \bar { \bar { z } } \le y .
36546e49-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_16.jpg
\sum _ { n = 1 } ^ { \infty } a _ { n + 1 } . \ln \frac { k . ( a _ { n } - a _ { n + 1 } ) } { a _ { n + 1 } - a _ { n + 2 } } = \sum _ { n = 1 } ^ { \infty } a _ { n + 1 } . \ln \frac { k . b _ { n } } { b _ { n + 1 } } =
36546ec2-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_7.jpg
\omega _ { i } ^ { j } + \omega _ { j } ^ { i } = 0
36546ed9-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_0.jpg
V _ { k j i i } = ( V _ { k } V _ { j i i } ) ^ { N } ( i , j , k = 1 , 2 )
36ff537d-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_6.jpg
U ^ { \alpha } _ { i } = S _ { i } ( R ^ { \alpha } _ { i } - T ^ { \alpha } _ { i } ) - S ^ { \alpha } _ { i } ( R _ { i } - T _ { i } )
36ff5452-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_2.jpg
\lambda > \frac { p + 1 } { T } + \omega .
36ff548d-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_0.jpg
\bar { y } = e ^ { - \int \bar { p } d \bar { x } } . \bar { \eta }
3712df9a-cfbe-4d13-9907-53ded46ac495__mathematical-expression-and-equation_2.jpg
V ^ { ( o ) } ( t , S , n , x , \delta , p ) = \sup _ { \pi } E _ { t } [ U ( W ^ { \pi } _ { t , S , n , x } ( T ) + \frac { \delta } { p } C ( S ( T ) ) ) ]
375f43fc-ab9c-4b79-8c61-ca1fc55bc516__mathematical-expression-and-equation_1.jpg
s \equiv 0 ( \operatorname { m o d . } 4 )
3760bca4-3a5a-4e3c-8ba0-2f4657000d24__mathematical-expression-and-equation_1.jpg
u _ { 1 } + u _ { 2 } = \pm \frac { \omega _ { 3 } } { 2 } , u _ { 1 } + u _ { 2 } = \pm \frac { \omega _ { 3 } } { 2 } + \omega
3764000e-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_8.jpg
\frac { d ^ { n } _ { - } y } { d x ^ { n } } = f ^ { u } _ { - } ( x )
3792d828-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_8.jpg
\pi = w + \Omega
3792ff3f-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_11.jpg
\pm \Delta V _ { 1 } = \alpha + \beta
379fa8e0-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_5.jpg
= \frac { 1 } { i \lambda - i \omega _ { j } } \sum _ { k = 0 } ^ { r _ { j } - 1 } \frac { 1 } { 2 \pi i } \oint _ { K _ { j } } ( z - i \omega _ { j } ) ^ { - r _ { j } + k } \Gamma _ { j } ( z ) d z \frac { e ^ { i \lambda t } } { ( i \lambda - i \omega _ { j } ) ^ { k } } =
37a928d8-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_3.jpg
h ( 0 ) = 0 , h ( 1 ) = 1 .
37a9292f-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_1.jpg
( p _ { 1 } p _ { 1 } \prime m _ { 0 } m ^ { * } _ { 1 } ) = ( P P \prime S ^ { * } A _ { 1 } ^ { * } )
37df2316-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_1.jpg
+ 2 \pi a R \int _ { v _ { 1 } } ^ { v _ { 2 } } d v \dots
3801ed63-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_10.jpg
h ( x ) = 0 \text { l o r s q u e } x \in X - ( A _ { 1 } \cup \bigcup _ { n > n _ { 0 } } \bigcup _ { i = 1 } ^ { m _ { n } } K _ { i } ^ { n } ) ;
3855e3ef-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_2.jpg
\sum _ { n = 1 } ^ { \infty } \frac { w ^ { n } \sigma } { \sin n \sigma \pi }
3882dd44-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_1.jpg
C _ { 2 2 } = ( a e - 4 b d + 3 c ^ { 2 } ) x ^ { 2 } + \dots
389a5c8a-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_2.jpg
D _ { 0 } P ( D _ { 0 } ) = s _ { 1 } ^ { 2 } \sum _ { m = 1 } ^ { \infty } ( \frac { D _ { 0 } } { m } ) \frac { 1 } { m } = s _ { 1 } ^ { 2 } P ( D _ { 0 } )
38b6497a-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_3.jpg
1 , | \begin{array} { c c } 1 , & n \\ x + a _ { 1 } , & ( n - 1 ) a _ { a } \end{array} |
38de91e4-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_15.jpg
Z = - \frac { \partial P } { \partial z }
38efa908-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_8.jpg
R b = 8 5
3995ad01-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_6.jpg
V _ { \lambda } ( s + \eta , \psi ( s + \eta ) ) - V _ { \lambda } ( s , \psi ( s ) ) \le ( e ^ { - \lambda \eta } - 1 ) V _ { \lambda } ( s , \psi ( s ) )
39b0e05d-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_11.jpg
\beta \prime - \beta = \rho \prime \prime \frac { w \prime } { \sqrt { 2 } } \sqrt { \mathrm { t g } \beta \prime }
39bbd20e-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_0.jpg
\overline { 1 1 0 0 } : 5 \cdot \overline { 1 0 } \cdot \overline { 5 } \cdot 8 = 6 2 ^ { \circ } 4 3 \prime 5 0 \prime \prime
39beb8a0-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_4.jpg
\lambda A = - x
39e525c0-df28-11e1-1331-001143e3f55c__mathematical-expression-and-equation_17.jpg
a = - 2 0
39f3d267-435e-11dd-b505-00145e5790ea__mathematical-expression-and-equation_0.jpg
E ( y , t ) \subset E ( 0 , \tilde { T } )
3a5e8568-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
u = \pm i
3a77f00f-df28-11e1-1418-001143e3f55c__mathematical-expression-and-equation_3.jpg
\frac { 1 } { 2 N } = \frac { 2 l } { c } ,
3b7256c0-d035-11e3-93a3-005056825209__mathematical-expression-and-equation_0.jpg
p x + q y = B
3bbd7a47-da8e-cb1e-9133-81df8bf7733e__mathematical-expression-and-equation_15.jpg
s _ { r } = \sum _ { o } ^ { 6 } s p _ { s } ^ { r }
3bcb78ec-947e-43a7-914e-8d63635924fd__mathematical-expression-and-equation_0.jpg
Y _ { P } = \frac { y _ { p } \cdot \hat { c } _ { 1 } + \hat { c } _ { 3 } } { y _ { p } \cdot \hat { c } _ { 2 } + 1 } , X _ { P } = \frac { x _ { p } \cdot D _ { h } / \cos ( \omega \cdot c ) } { y _ { p } \cdot \hat { c } _ { 2 } + 1 }
3c11aa60-cdca-11ea-b03f-5ef3fc9bb22f__mathematical-expression-and-equation_3.jpg
( 1 - \frac { 1 } { 4 } \Omega ^ { 2 } - \frac { 1 } { 2 } \Omega ^ { 2 } A ) R _ { 2 } = 0
3c14889a-a074-401e-b9c6-e00cce2b1461__mathematical-expression-and-equation_4.jpg
= \sqrt { 2 } U _ { n } \sin [ \omega ( k - \frac { 1 } { 2 } ) \Delta t + \alpha ] \cdot \frac { \sin \frac { \omega \Delta t } { 2 } } { \frac { \omega \Delta t } { 2 } }
3c52c16e-33c0-4df8-a290-182377244a1f__mathematical-expression-and-equation_5.jpg
d \gamma = \frac { r _ { 1 } r _ { 2 } } { 2 \gamma } \frac { ( r _ { 2 } ^ { 2 } - r _ { 1 } ^ { 2 } ) ( N _ { 1 } - N _ { 2 } ) } { ( N _ { 1 } r _ { 2 } - N _ { 2 } r _ { 1 } ) ^ { 2 } } d N
3c550960-df3d-11e1-1431-001143e3f55c__mathematical-expression-and-equation_2.jpg
V = \sum _ { \lambda = 0 } ^ { \infty } \frac { ( \alpha _ { \lambda } ^ { 2 } + \beta _ { \lambda } ^ { 2 } ) \alpha ^ { 2 } } { [ R ^ { 2 } + ( S \lambda \omega ) ^ { 2 } ] [ r ^ { 2 } + ( \frac { 1 } { c \lambda \omega } - s \lambda \omega ) ^ { 2 } ] }
3c55096d-df3d-11e1-1431-001143e3f55c__mathematical-expression-and-equation_3.jpg
( u ^ { 4 } ) _ { 1 } = ( u ) _ { 1 } ^ { 4 } + 4 ( u ) _ { 1 } ( u ) _ { 3 }
3c5fc2a5-df28-11e1-1726-001143e3f55c__mathematical-expression-and-equation_8.jpg
s _ { 1 } ^ { ( n ) } = \sum _ { v = 0 } ^ { n - 1 } j _ { v }
3c6810da-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_4.jpg
B Y = \rho m
3c762225-3195-46f9-aa31-fb0e77a64c03__mathematical-expression-and-equation_13.jpg
y \prime \prime ( x ) = - y ( x )
3d165158-408b-11e1-1586-001143e3f55c__mathematical-expression-and-equation_5.jpg
\mp ( \phi _ { b } + \phi _ { b } ) , \pm \phi _ { b } , \pm \phi _ { b }
3d1f83b8-df3d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_5.jpg
+ I _ { l } ( t , T ; p _ { 1 } , p _ { 2 } , \dots , p _ { l } | y _ { l + 1 } | )
3dc3cf9a-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_6.jpg
\lim _ { y \rightarrow t ^ { + } } W ( t , [ t , y ] ) = \lim _ { y \rightarrow t ^ { + } } I + A ( y ) - A ( t ) = I + \Delta ^ { + } A ( t ) ,
3dc3d07d-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_8.jpg
\Delta = a _ { 1 } | \begin{array} { c c } 1 & b _ { 1 } \\ 1 & b _ { 2 } + b _ { 1 } ( 1 - \frac { a _ { 2 } } { a _ { 1 } } ) \\ 1 & b _ { 3 } + b _ { 1 } ( 1 - \frac { a _ { 3 } } { a _ { 1 } } ) \\ \dots \\ 1 & b _ { n } + b _ { 1 } ( 1 - \frac { a _ { n } } { a _ { 1 } } ) \end{array} |
3dc40f1e-df28-11e1-1154-001143e3f55c__mathematical-expression-and-equation_13.jpg
\psi ( a ) = a \prime , \psi ( b ) = b \prime
3e71e9e5-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_0.jpg
\dot { x } = v
3e71eafa-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_8.jpg
- \zeta ( 3 ) + P _ { \rho } ( 3 ) + Q _ { \chi } ( 3 ) - R _ { \tau } ( 3 ) - S _ { \psi } ( 3 ) = V _ { 3 0 } \prime \prime U
3ea4c57a-df3d-11e1-1586-001143e3f55c__mathematical-expression-and-equation_17.jpg
\overline { a \alpha } = r
3ef3c997-eb8b-40bd-b477-5077437bd9fa__mathematical-expression-and-equation_9.jpg
2 8 9 s _ { D } + 2 2 5 s _ { E } > 1 4 5 s _ { M D } + 8 1 s _ { M E }
3f0c0691-d3ba-4010-8990-71bc7458a1f0__mathematical-expression-and-equation_0.jpg
\sum y _ { k - 1 } \mu ( M _ { k } ) - H = \epsilon > 0
3f277db9-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_5.jpg
\sqrt { a b + 2 c ^ { 2 } + 2 c \sqrt { a b + c ^ { 2 } } }
3f3f5f76-c060-11e6-855e-001b63bd97ba__mathematical-expression-and-equation_9.jpg
\frac { 1 } { n } = a m ^ { 2 } + b ; \frac { 1 } { n } = a ( m - \frac { 1 } { 2 } ) ^ { 2 } + b ,
3f4b6311-559e-4701-b416-92488e969370__mathematical-expression-and-equation_1.jpg
x = u _ { e } ^ { T } \phi
3f86be27-5a1d-4327-a55c-b1713006f255__mathematical-expression-and-equation_7.jpg
x ^ { 3 } ( \frac { p + k } { 2 } ) l = \frac { l x ^ { 2 } } { 2 } ( p + k ) - \frac { x ^ { 3 } } { 4 } . h ( p + k ) + \frac { x ^ { 4 } } { 4 } . l ( p + k ) - \frac { h x } { 2 } ( p + k ) + \frac { h k } { \epsilon l } - \frac { h k } { 1 6 l } . x ^ { 2 }
4030f61e-dbdb-11e6-95e2-001b63bd97ba__mathematical-expression-and-equation_13.jpg
\frac { y ^ { \prime 2 } } { f } \le V ( x _ { 0 } ) + \int _ { x _ { 0 } } ^ { x } \frac { y ^ { \prime 2 } } { f } \cdot \frac { | f \prime | } { f } d t
4094a272-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_0.jpg
( \mathcal { F } [ A _ { 1 } f , A _ { 2 } g ] , \phi ) = \sum _ { m = - \infty } ^ { \infty } \sum _ { n = - \infty } ^ { \infty } c _ { m , n } \int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } e ^ { i m x } e ^ { i n y } \phi ( x , y ) d x d y
414afbaf-408b-11e1-2238-001143e3f55c__mathematical-expression-and-equation_4.jpg
x _ { 1 } = \frac { a - V } { 3 2 0 } = 2 , 0 0 9 . 1 2 5 : 3 2 0 = 6 2 7 8
414cddf0-86a4-11e0-b8c5-0013d398622b__mathematical-expression-and-equation_4.jpg
d _ { 0 } \le \min ( \frac { \lambda } { 2 ( v _ { 0 } + 1 ) } , \frac { \lambda } { 2 ( v _ { 0 } + 1 ) ( n ^ { 3 } K q + b n ^ { 2 } ( M _ { 1 } + M _ { 2 } + M _ { 3 } ) ) ^ { v _ { 0 } - 1 } }
41fe1d87-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_3.jpg
\frac { 1 } { 2 } \alpha \lambda ( \parallel y ( \eta ) \parallel ) ) ] . [ 1 - \sum _ { 1 } ^ { n } \psi ( t _ { k } ^ { 2 } , y ( t _ { k } ^ { 2 } ) ) \Delta _ { k } y ] ^ { + } \} < \eta
41fe1e97-408b-11e1-8339-001143e3f55c__mathematical-expression-and-equation_1.jpg
p \prime + p _ { 1 } = \frac { \partial V } { \partial x ^ { ( n - 1 ) } } , \\ p \prime _ { 1 } + p _ { 2 } = \frac { \partial V } { \partial x ^ { ( n - 2 ) } } , \\ \dots \\ p \prime _ { n - 2 } + p _ { n - 1 } = \frac { \partial V } { \partial x \prime } , \\ p \prime _ { n - 1 } = \frac { \partial V } { \partial x...
42a4c342-ea23-4ee4-aeda-3776177a0607__mathematical-expression-and-equation_12.jpg
\lim _ { n \rightarrow \infty } \sup [ f _ { n } ( t \prime \prime ) - f _ { n } ( t \prime ) ] = \lim _ { n \rightarrow \infty } \sup \frac { t \prime \prime - t \prime + h _ { n } ( t \prime \prime ) - h _ { n } ( t \prime ) } { 1 + h _ { n } ( 1 ) } \le
42a8f85e-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_0.jpg
g ( s ) = \frac { 1 } { \Delta ^ { - } v ( t ) } \exp [ \frac { s - v ( t - ) } { \Delta ^ { - } v ( t ) } C _ { t } ^ { - } ] \Delta ^ { - } f ( t ) \text { f o r } s \in [ v ( t - ) , v ( t ) ) v
42a8f9a4-f33d-11e1-1154-001143e3f55c__mathematical-expression-and-equation_1.jpg
c o s ( 1 8 0 ^ { \circ } - \alpha ) = - c o s \alpha
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