00, + lim l[ ] =. ( + lim[ ] = lim[ ] ( + i e ( = ( + lim l[ ] = l e = ( 4 (, (, (, 0 d f d D= D + D, d f d + d f d =. 0 D = (, 0,, 4 D = (,, 4 D ( D =, 0,. 4 0 0 4 ( + ( = ( d f, d d f, d d f, d. - = 0 4 A, α = ( k Αα = kα 4,,. Αα α
k = 0 4 + = k, + + = k, =, k =. + 4 = k,. 4 X Y P Y X 0 0 0.07 0.8 0.5 0.08 0. 0.0 X Y cos (, X Y = 0.0 X 0 P 0.4 0.6 X 0 P 0.5 0.5 0.5 X 0
P 0.4 0.6 Y 0 P 0.5 0.5 X Y 0 P 0.7 0.8 E( X Y E( X E( Y = 0.8, = 0.69, = 0.5, ( X Y E( X Y E( X ( Y cos,, = 0.8 0. = 0.0. 5 X f ( ; θ ( θ e, θ, = 0, < θ θ X, X,, X X i = X i ( ( 0 + ( θ E X = e d= θ +, E X X X X, = = i, θ + = i = i= θ θ = X i. i= i f ( [,, ] (,, (A f( f( < 0, ξ (,, f( ξ = 0. (B ξ (,, lim[ f( f( ξ ] = 0. ξ
(C f ( = f(, ξ (,, f '( ξ = 0 (D. ξ (,, f ( f( = f '( ξ (. [ B], f ( ξ ( ξ (,,, lim[ f( f( ξ ] = 0. (B. ξ 5 = = 5 5 ( A 5. ( B. ( C. ( D [ A] + + lim =, lim =, 5 = + + 9 5 = = = + lim lim, 9 5 + = [ A]. A m B m( AB = 0 A C m [ D] > m. B > m. > D m> AB m m m [ D] r AB r A < m( AB = 0 > ( (.4 A P. α A λ ( P AP λ ( A P ( B P ( C P ( D( P [ B] α α α α α λα, A = ( P Aα = λp α, P A P α = λp α,
= A A, ( P AP P α = λp α, ( P α. 5 X Y P AP λ AX+Y B X + Y χ. C X Y χ. X D Y F. [ C] XY,AB(DC. 8 lim 0 0 0 lim u [ rct( + tdtdu ] ( cos u [ rct( + tdtdu ] rct( + tdt = lim ( cos cos + si 0 0 0 0 0 rct( + lim lim rct( lim 0 0 0 si = = + si + si + cos π π = i i = 4 6 lim u u [ rct( + t dt] du [ rct( + t dt] du = lim ( cos 0 0 0 0 0 0 rct( + tdt 0 rct( + = lim = lim 0 0 π π = i =. 4 6 6 + cos 8 u = f(,, z, z = z(, e e = ze z, du z F(,, z = e e ze,
F = ( + e, F = ( + e, F = ( z+ e. ' ' ' z z z F ' ' + F z z + = = e, = = e F' z+ F' z+ z u ' ' z ' ' + = f + fz = f + fz e z+ z z, z u ' ' z ' ' + = f + fz = f + fz e z+ u u + + du = d + d = f + f e d + f + f e d z+ z+ z, ' ' z ' ' z ( z ( z. e e = ze z, z z ed+ ed ed ed= edz+ zedz, ( + ed ( + ed dz =. z ( + ze u = f(,, z, du = f d + f d + f dz, ' ' ' z + + du = f + f e d f + f e d z+ z+ ' ' z ' ' z ( z ( z. 8 f = ( si f d (si, u = si, rcsi si = u, = rcsi u, f( =,. rcsi f ( d = d
rcsi = d ( = rcsi d = rcsi + d = rcsi + + C. D =, = = = 0 D = 0, = = 0< <. D V ; D V ; V + V. 4π 5 V = π ( d= ( ; π 5 4 4 4 V = π π d = π π = π. 0 4π V V V 5 5 4 = + = + π. V π ( ( =. = 4 = 0. ( 0, 0< < V > 0; < V < 0 =. V + V 9 5 π. ( 6 9 = + + + + + ( < < +! 6! 9!! (
+ + = e ; = ( ( 6 9 = + + + + +,! 6! 9!! ( 6 9 ( = + + + +,! 5! 8!! ( 4 7 ( = + + + + 4! 7!! + + = e. (. 0! e + + = 0, + + = λ + λ+ = 0, λ, = ±. i cos si. π Y = e C + C = e = Ae e cos si. π = Y + = e C + C + e = 0 ( 0 = = C + ( 0 = 0 = C + C + C =, C = 0. = ( 0! + + = A =
e e ( = cos +,( < <+. 8 f (, g( [, ], g> ( 0,, ξ [, ], f ( gd ( = f( ξ gd (. f (, g( [, ], g> ( 0,,, f ( [, ] M m, m f( M, mg( f ( g( Mg(. mgd ( f( gd ( Mgd (, m f( g( d M gd (., ξ [, ], f ( ξ = f ( gd (, gd ( f ( gd ( = f( ξ gd (. + + + = 0, + + + = 0, + + + = 0, 0, 0,.,.
( ( A = = +., (. = A 0 0 0 0 A =. 0 0 0 0 + + + = 0, ( ( ( α =,,0,,, α =,0,,,,, α =,0,0,,. (,,, = cα + c α + + c α c c c ( ( = A ( A= ( ( 0 0 0 ( 0 0 0 ( 0 0 0 0 0 0 (
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 =, =, =, β = (,,, = cβ c. A + A A=O A r ( A =. A k A+ ke E. λ A α Aα = λα( α 0 A α = λ α. ( + = ( λ + λ A A α α A + A=O( λ + λ α = 0 α 0 λ + λ = 0 A, r ( A =. A ~ = A 0 A λ = λ =, λ = 0. + k, + k, k. A+ ke A+ ke
k > A+ ke A+ ke.. P, - P AP = A,A= PΛP ( A+ ke = PΛ P + kp P = P Λ+ ke P A+ ke ~ A+ ke - - -, k Λ + ke = k, k Λ + ke k ( ( k > 0, k > 0, k k > 0. k > A+ ke. U [, ] X, U,, U, = Y =, U >,, U >. X Y D( X + Y. ( (, P{ X =, Y = } = P{ U, U } =, 4 P X =, Y = = P U, U > = 0, { } { } P{ X =, Y = } = P{ U >, U } =, P{ X =, Y = } = P{ U, U } = 4 X Y ( XY X Y (,, (,,, (,, ( (, (, (, (,, ~. 0 4 4 X + Y ( X + Y.
0 0 0 4 X + Y ~, ( X + Y ~ 4 4 E( X + Y = + = 0; 4 4 D( X + Y = E( X + Y =. X, ( EX 5.,,. Y F(. X λ. EX ( = = 5, λ =. λ 5 Y = mi X,. { } < 0, F( = 0;, F( =. 0 <, { } { } { } { } 5 F( P Y P mi X, P X e = = = =,Y 0, < 0, 5 F( = e,0 <,,.