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4, 79, m []: m.454 m ]:, : B ' ' m M m M ().585 (. 4.), :, : m, : m R, []:

5 R - []: K R.55 []: K.76 K Rk.894. 4.5., 4.. P j []: j j -. MathCad) P ji P jii P j P j m j 6 F m j 6 F P j P j P j

6. 4.6. - P j. P ji P jii. 4..,, []. P -,, -, - (. MathCad). : : Q READPRN ("C:\dinamica-mathcadres\indicatornaya-diagramma.txt" ).7.7 Q Q 4.7.7 4.7 5 5.7 6 6.7 7 7... P, -.

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8 - :.59597.7584.75 4. 5.65875 6.598 7... 4.4., - - []: -, - - []: N - [] : P S -, []:. 4.9. :

9 augment b P K P T P N P S augment ) P K P T P N P S 4 -.645 -.645 -.4 -.6 -.676 -.5 -.965 -.478 -. -.486 -.6986 -.586 -.56 -.9 4 4 -.444 -.58 -.67 -.79 5 5 -.65 -.469 -.58 -.569 6 6 -.65 -.84 -.857 -.885 7 7 -. -.6 -.94..... 4.. - P K, P T [.].. 4.. - P N, P S [.]

4 5. 5... 5..,, --4-.,. -.645 -.4 -.6 P K -.965 -.6986 P T -.478 -.586 4 5 6 7 4 5 6... 4 5 6 7 -.444 -.65 -.65... 4 5 6 7 -.58 -.469 -.84... = ], = ] Mathcad : P T P T P K P K

4 P T 4 5 6 7 8 9. -.58 - -4.58 - -5.747 - -5.855 - -4.95 - -.86 - -. - 8.85-4... P K 4 5 6 7 8 9 -.546 -.9 -.9564 -.76 -.487 -.565 -.94 -.96 -.89... (),, - 8 7,, - 8, -. thcad. : submatrix(, 8, 7,, ) submatrix(, 8, 7,, ), 8 7. MA submatrix P T 8 7 MB submatrix P K 8 7 submatrix(,, 8,, ) submatrix(,, 8,, ),, - 8. MA submatrix P T 8 MB submatrix P K 8 - stack: P T stack MA MA P K stackmb MB, :

4 P T 4 -.8 -.64 -.4 -.7 P K 4 -.64 -.676 -.685 -.676 -.568 5 -.855 5 -.544 6 7 -.44... 6 7 -.49.... : submatrix(, 54, 7,, ) submatrix(, 54, 7,, ), - 54 7. MA submatrix P T 54 7 MB submatrix P K 54 7 submatrix(,, 54,, ) submatrix(,, 54,, ) -, 54. MA submatrix P T 54 MB submatrix P K 54 P T stack MA MA P K stackmb MB P T 4 -.864 -.68 -.5 -.86 P K 4 -.789 -.6875 -.654 -.655 -.58 5 -.95 5 -.57 6 7 -.46... 6 7 -.45...

4 : submatrix(, 6, 7,, ) submatrix(, 6, 7,, ), 6 7. MA4 submatrix P T 6 7 MB4 submatrix P K 6 7 submatrix(,, 6,, ) submatrix(,, 6,, ), 6. MA4 submatrix P T 6 MB4 submatrix P K 6 P T4 stack MA4 MA4 P K4 stackmb4 MB4 P T4 4..58.456.459 P K4 4 -.44.4.5.577. 5.7 5.7 6 7.9... 6 7.898..., : M P T R M P T R M P T R M 4 P T4 R M augment P T M M M M 4

44 P T M M M M 4 4 5....... -.6 - -7.95-7.9-8.44 86.46 M. -4.78 - -9.48-57.48-57.65 574.5. -5.86 - -9.76-89.4-89.98 49.69 4 5 4. -5.8 - -7.88 -.86 -.98 89.87 5. -4.69 - -9.4-54.775-5.766.5 6 7 6. -.84 - -5.74-8. -75.88 9.74 7. -6. -4-4.7-9.798-8.967... 5... 5..,.,, -. -. M i -,. ( i ) i i -, - - (. 5.). : M M M M M M

45 M 4 M M M 5 M 4 M 4 M MK augment M M M M M M M M M M M 4 M 4 M 5 (. ) (), -.. 5..,, ]

46 M max 54.9 M max, []: M min 499.954 M max.4 M max M max M min -. 5.., i,,,5,5 R i i i i i, []. 5.4.. :

47 M.5M kp M M.5M kp M M.5M kp M 4 M 4.5M kp4 M kpm.5m kp M kpm.5m kp M kp4m.5m kp4 b M augment b M.5M kp M M.5M kp b M M kpm M M M kpm 4 5 M 4 5....... -5.6 -.74 -.6 -.65 -.8. -.5 -.75 -.47-5. -.766. -6.8-4.4 -.67-7.74-4.55 4. -.6-5.5-44.65-5.7-5.548 5. -7.795-6.9-55.589-6.5... M augment b M M.5M kp4 M 4 M 4 b M M M kp4m M 4 M 4 4 5...... M. -4. -5.9 4.77-6.77 -.46. -7.974 -.74.48 -.56 -.6. -4.874-46.9.94-5.8-7.6 4 4. -55.69-6.4 5.7-66.788 -.65 5 5. -69.4-76.57 5.54-8....

48. 5.5.,, [] M max 555.57 M max, [] M min 94.79 M max 949.95 M max M max M min -.

49 6. i,,.. 6.. - - - - (i = 4) - = 7 / i = 7 / 4 = 8.

5 - - 7/i - - 6/i (. 6., ). -, 5: 4 M...... -7.95-7.9-8.44 86.46. -9.48-57.48-57.65 574.5. -9.76-89.4-89.98 49.69 4 4. -7.88 -.86 -.98 89.87 5 5. -9.4-54.775-5.766... 6.., : M KP M kp M kp M kp M kp4. 6..

5 6.., : Mkpcp mean M KP Mkpcp 54.74 l 7 l l. 6.. 6...,. N e 58 M.8 n 45 n, - ; Ne, ; M. 955 N e M it M it 5.84 n M - :

5 MKP 67.864 MKP 96.549 6... ): MKP MKP Mkpcp 6.9 6...,,, : M ip Mkpcp M ip 5.777 () 5%: M M it M ip M ip M.549 6..,. - - (. 6., 6.4) M.. 6.4. -

5 - - >, -. ( )., 4, 6 8. 6.4) max. <,,, 5 7 min,.. -., (.. 6.):

54 7.. 7.. : ; - ; - ; 4 - ; 5 - ; 6 ; 7 -, J : = = + J d/dt J -, (. 7.). - J J J J J J J, J - ; J, J, J, J a, J -,,,,,,.

55. 7.. - : ; - ; ; 4 - (); 5 - ; 6 ; 7- ; 8 (- ) ; 9,, ; - () ; - (); ; 4 - ; 5 ; 6 ; 7 - ; 8 ; 9 - ; ; - ; ; -. cp max d cp co ; dt M M d J d min co M M d (F ).. 6., 6.4 -. J, : 7.,,,5,

56 : J [ ]: J,, J ( J J J J ) J.795 7. J ) (,75,9) (,4,) (,5,75) (,5,5) (,5,7) 7., J 75-9% - J -. J.85 J J.58 m M, [] m M 4 J d cp m M 9.54698

57 d = (...)S -,[] S-, d cp.5 S d cp.5, = 785 ; = 75. : M 75 (. 7.). h = b / a ; a =(,5-) a M. b.495 h M b a M h M.469 d -, : d d cp h M d.4669 d,5-,5,. d, : d d cp h M d.67

58 J M =J M : V MO, : J.58 n max.5 n n max 475 n -, - ; n (,4,7) n - ; n (,,5) n - ; n -. V MO 6.9758 : [V ] 7 ; [V ] ; [V ]., -, /; : [ ] 4 ; [ ].

59,,. d c.95 d d c.55544 d -, (,5-,7)d ; - -, =,-7 - =,8-,. - : [ ] ; [ ].

6 8. P S - (. 8.): P T, -, P K,., m,. ). 8.., : ;

6 8..., -,,, -, (. 8., )., -,.,,, -. () - P T,. ) ). - R ). 8., ). R -,,.,,,.. 8.., :, ;,, - R,, -

6., (, 7), ( R 7 ) (. 8., ). (. 8., )., - 8 (. 8., ).. 8.,,, R,,. :, :, -, ; mr -,, ;,, (. ). 8.. - Rmax R(hmin), []. R, R max, R (hmin) - (),. R = f).. 8.). R - F, R (- :.8., -,.8., - ). R (hmin),, R = R,. - F.max, R - (.8., '- ) R EF (. 8., ').

6. 8.. : R max, - ; R,,., a - ;, -

64 8... (.8., ).. R, R max, R (hmin). R (hmin) (.8., ) -.,., - R R.8.4). j,.. - index. lim, lim -, -, R R. ( ). lim 9. Mathcad -. R mean R - R R.4 R - R, - R. R submatrix R lim, R - R lim. R. 8.4. R min minr R min.4 R min R,. 8.4. 8., ').

65 j 7; j j - R. 8.4.. 8.4. R 4 5 6 7 8 9.6666.6666.6655.665.666.6568.65.6466.64... R (): j lastr R (. 8.4). ): index j j R j R min R, R j R min R,, -

66 R j ): R R (- index 4 - (). area. 8., : area index R j area.7484 j ( index ) - j =. (,, j =...4 44 - (44 ), 4). R.hmin. ): ( area R.hmin. R index.hmin..66 8... (. 8., )., : R mean R R.4 R (hmin) EF, - R R,,,. - j,.. - index index. R R - index).

67 R, R :. 8.5 R. -,, - R R, -. alim blim, -. - : alim blim 8. 8.4). R submatrix R alim blim R - R alim blim. 8.5). R min minr R min.47 R min R, E. 8.5;. 8., ). : j 7 j j R R, - : j j alim, : j -, - alim.

68. 8.5.. (). j lastr j - (), R R (): index j R j R min index 4 j F R R index). blim lim, - F (. 8., '). : blim 8 clim 4,. 8.6). R submatrix R blim clim R - R () blim clim (. 8.6).

69 R min minr R min.75 R min R F (. 8.6). j j blim. R. 8.6: n lastr j lastr n n j -. (), R R ( R j ): - - - index j R j R min index j R : indexa index alim indexa 54 indexc index blim indexc 9. 8.6.. ( F).

7 area: area indexc R j area.7647 j indexa ( indexc ) - R.hmin.. 8., '): R.hmin. area indexc indexa R.hmin..454 8.. - R,,,.,. - Mathcad: i last R, i, R ;

7, R, ', R,. (. 8.7). II III II I I, III c III, III : III III IV. 8.7.. IV III PTi a cos, Ri III = III +. R (. 8,8, )., - (. 8.8, ) - (. 8.8, ), -, - R 8

7. 9 6 9 6 5.. 5.. RR 8 RR 8 4 7 4 7 ). 8.8., : R ;., -, (. 8.9). -,. -,., -, -. - 7,, : k ) a k k 6 b k if a k a k otherwise c k a k if a k otherwise

7, : k ; a k, b k - (. 8.9, ); c k - (. 8.9, ); q. q,. 4 b k 6 5 a k 7 8 9 ). 8.9. - : ) ; ). ) - r, : maxq ( ), : - ( 5); -, q. r (. 8.). :

74 i as i i 6 r rs, : as i ( ). r /+ = 4/, : / - - (. r - ); -. i as i 4.. 8.. -. 8... -, -, -. - (. 8.),, - ( ),.,, (. 8.).

75 8.4., - - - +.8.). -, -,. ++8 8. - ' ' ' - (. 8.),. 8.. -

76. 8.. - R,, '. : R P P'. R. 6 8 4 6 4 48 54 6 66 7 b. 8.4. R,, -,. R

77 9.. 9.., ). 9... P T P T P T P T4 4 M PT -.58 -.8 -.864. -.458 -.64 -.68.58 -.5747 -.4 -.5.456 4 4 -.5855 -.7 -.86.459 5 5 -.495 -.855 -.95... P K P K P K P K4 4 -.546 -.64 -.789 -.44 M PK -.9 -.676 -.6875.4 -.9564 -.685 -.654.5 -.76 -.676 -.655.577 4 4 -.487 -.568 -.58. 5 5 -.565 -.544 -.57... p - i (i+)- p 8 -

78 5 P T P T P T P T4 5 9 8 7 6 45 54 6 7. 9.. 9.., -. 9..,

79 9..., K.696 K Rk.897 Rk -, (. ) []:,, :,, - : M augment P T R k P T R k -.748.748 M -.58 -.774.79 -.458 -.5499.597 -.5747 -.4.94 4 4 -.5855 -.75.56 5 5 -.495 -.85...,, - : R.5 R k R 4 5 -.74 -.596 -.954 -.97 -.78, :...

8 P' T.5 P T K' Pk.5 -, -, -. -,,. -.74 R -.596 -.954 -.97 4 -.78 5..., P T PK, : P T P' T K Pk K' Pk 9..., :, :,, - : M a augment P T R k M a 4 5 P T R k -.5.5 -.8 -..6 -.64 -..78 -.4 -..45 4 -.7 -.67.854 5 -.855 -.978...

8, R P T PK, P T PK, :, P T PK, : P T P' T P' TT K' PkT K Pk K' Pk P' TK K' PkK, : M b augment P T K Pk R M b 4 5 P T K Pk R.57.57.868.8.55.48.69..658.65.768 4.4 -.4.9 5.548 -.9...

8 9..., :, :,, - : M a augment P T R k P T R k -.4.4 M a -.864 -.8.86 -.68 -.476.58 -.5 -.9. 4 4 -.86 -.757.4 5 5 -.95 -.7..., : p - ; p =, P' T.5 P T K' Pk.5 -, -, - ; -, -. P T PK, P T PK -, :

8, P T PK, : P T P' T P' TT K' PkT cos p 8 K Pk K' Pk P' TK K' PkK cos p 8, : R P T K Pk M b augment P T K Pk R M b 4 5 6 7 P T K Pk R -.7.7 -.8 -.56.576 -.647 -.48.48 -.467 -..8 4 -.47 -.687.99 5 -.94 -.4.4 6 -.4 -..585 7 -.454 -.944.956 (. ) (), -.

84. 9.4.. 9.5. - - -. 9.6. - - -

85 9.. -, : R cp mean R R cp mean R R cp. R cp.4 R cp mean R l 7 R cp.979 l l R R cp. 5 9 8 7 6 45 54 6 7 c l. 9.7.,.. R R cp 5 9 8 7 6 45 54 6 7 c l. 9.8.,.

86 R R cp..5 9 8 7 6 45 54 6 7 c l. 9.9.,. R, R, R,.. 9.4. -. R k,,,, P T, - (. ). - P K k : - R k, -, -. - :

87 i lastr - - (. 9.).. 9.. -.,. 9., 8, -,.

88 - -., : k - : a k, b k - ; c k - q - (, ) - k- q q - -, q r -,

89 i : r rs : as i ( ). - r /, -. ( ),.. 9..

9., -,., : P =; P j =; K R =; =; j =; R =, j j j, j, K. R -,, P j, P j, R. 4-4-- ( ), - (- ). -- 4-8,.... : ;.

9 : R, ; n, /; = R / L : - ; n 45.4 -, n 47.9 (.. 4.). m j -,, - []: m R -,, []:. - - 4 5 4... P j : P j = ji + jii, ji = - m R cos; jii = - m R cos. j j

9.. P ji - ji. -, - (.. ), -. ) ) )... -. (.., ) - -,. P ji : PjI = PjI() + PjI() + Pj I() + PjI(4) = c m j R 6 c 8.76 8.76 - -8.76 - P ji. 8.76-8.758 - P ji. -8.76 - -8.758-8.75 - -8.75-4 8.74-4 -8.74-5... 5...

9 P ji. 4 5-8.76 - -8.76 - -8.758 - -8.75 - -8.74 -... P ji.4 4 5 8.76-8.76-8.758-8.75-8.74 -...... P ji, P ji, P ji, P ji4, j I..., ( P - P j I = ),. -. -, (.., ), : M jipji,5 a; M jipji,5 a; M jipji,5 a; M ji4pji4,5 a., -., - (.., ),, - -. a -, M ji P ji. (.5a) P ji. (.5a) P ji. (.5a) P ji.4 (.5a)

94 M ji 4 5... : -. -. M ji P ji. (.5a) M ji P ji. (.5a) M ji P ji. (.5a) M ji4 P ji.4 (.5a) M ji M ji M ji M ji M ji4..4. ji, ji, ji, ji4, j I...4, M., : ji,... P jii jii. P jii = P jii() + P jii() + P jii() + P jii(4) = 4m R cos j, -, -

95 (..5, ). (..5, ) (..5, ),. ) ) )..5.. c 6 m j R P jii c cos c cos ( 8) c cos ( 8) 8 8 8 c cos 8 P jii 4 c cos 8. P jii.. :. 4 5.... -. P jii P jii. P jii. P jii. P jii.4

96..6. P jii, P jii, P jii, P jii4, P j II...6, P jii,.. M jii P jii..5a P jii. (.5a) P jii. (.5a) P jii.4 (.5a) M jii 4 5... : -. M jii P jii. (.5a) M jii P jii. (.5a) M jii P jii. (.5a) M jii4 P jii.4 (.5a) M jii M jii M jii M jii M jii4 M jii..7,..

97..7. jii, jii, jii, jii4, j II... R R. (.., ) -,. R = R ( ) - R () - R ( ) + R (4) = K R m R R m R R m R R m R R K R, -. R = R (),5 - R (),5 - R (),5 + R (4),5 = M R M R m R R.5 a m R R.5 a.5a m R R.5a m R R, - 8, -.

98 - -, 4 (..8)...8. -. jii - : jii 8 4m R cos = : R m jii m j 4 jii j 4 m ( ) cos jii jii m jii.88..,,-, -,.,5 R(),,,5 R() +,5 R(). - m R, 4, 5, 8 (.., ). -. : m R = m R R/( ).,5 R = m R,5m R R = m R,

99.4. :..9. d 5 6 l d 6 l b 5 h 8 B 7 (d,, l, d,, l, b, h, B ). 78 -, h d - ) R R, : h d R R.57 d h R B R.87 b, ():

b.5b b., : asin 4 m R b R R R 8.48 m R, : m b R m.7 R 8, : R 4 R R R sin 8 8.6 - : m.45 m,5 m R R m R R.45 - - (.., ). (.., ) - = =..

... : - ;, - ; -8.

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4 4 5 6 7 8 9 4 5 6 8V-9º 86 55 96 5 5,68,46,5,54,4,6,96,8 R 6 8 5 6,5 -,49,,8,69,8,99,76 R 8 6 45 56 5 6,8 -,57,,76,9,8,54,75 4 R 5 6 5 7 -,6,,5,75,,67,74 5 R 4 8 65 7 5 5 6,9 -,,,6,5,8,78,7 6 R 6 5 5 6,6 -,78,,77,68,6,,7 7 R 8 9 5 7, -,49,,69,,7,4,78 8 R 45 45 4 5 7,5 -,65,,85,9,4,6,77 9 R 4 56 6 6 5 5 7 -,5,,4,8,78,75,79 R 85 79 85 8 9, -,669,9,7,49,8,95,77 R 6 7 8 8 85 8 9,5 -,46,,86,65,4,58,78 4,5 8 5, 8 75 9, -,58,,586,78,6,67,79 6 84 7,7 8 75 9, -,98,,47,8,8,9,7 4 7 8 5 85 8 9,8 -,55,,68,57,54,45,7 5 9 85 9 8 9,5 -,496,,98,99,67,,74 6 6R 6 74 5 8 89,6, -,,,5,,9,86 7 4R 6 4 8 6 8 85 8,7 -,6,7,4,9,,8 8 4R 6 5 4 5 8 85,5 -,5 4,,57,8,,79 9 4R 6 5 8 8,5 85 -,4 4,6,64,7,4,8 4 4R 54 85 4 7 8,5 88,,5 -,5,8,8,46,56,85 4 4R 58 8 4 86 96,6 -,6,7,94,55,75,8 4 4R 56 4 8 5 78 8,5,5 -,4,4,,64,57,8 4 4R 6 4 9 86 86 9,8 -,4,9,9,8,8,8 44 4R 55 89 5 8 98,4 86,69 9, -,5,7,77,44,65,78

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6

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