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d*= I xf(/ fe=0, 1,2.....

(5.27)

(5.25) m<.N, N - nap Xi yi, ( ) yi {Xi)

. -

* 1 = 1

(5.28)

m = N, , . . () (5.25) =, {/,-. tiKCN . , , (,) , (§ 4.2).

, ai, ..., (5.25) , X, yi. .

( 2 ) dk ( m ) (5.26) (5.27) (. § 4.1). , 5.25. , at, .... am () X (5.25).

5.25.

. 5.24 ( = = 2 n~N=7). : =(0) = =3, \=(\)=0, *2=/(2) = -0,01. = 7, (x) = Y {) = =5,31.

( ,- yt) 7 .

() . = 1 ( ). ,-, yi . ( ci) (5.28) £1. £> £1, m 1, . . , £<;£i. 5.26 , ai. . .... Qm m £. () .

. ......

.

5.25.

05 PRINT 10 1 M=n:LETH=n+1

£0 DIM ai:h,h)b«:h>/C«:2*h),Xi:h>

30 INPUTBBEAHTE X..V N=H

40 FOR 1=1 TO H!PRINT!3.6! I=I;INPUTBBEAHTE X,V x,v

45 LETF=l!FOR J=l TO £*h-lsIF J>h THEN 55

50 LETB<:J)=E<J>+V5LETV=V*X

55 LETC<J>=C<J>+F:LETF=F*X!HEXT JsNEXT I

60 FOR 1=1 TO N:LETK=I!FOR J=l TO N

65 LETAafJ>=C«:K>!LETK=K+lsXT J:NEXT I

70 FOR 1=1 TO N-l!FOR J=I+1 TO N

75 LETAiJ,I>=-A«:j,I)>A<bI>:FOR K=I+1 TO N

80 LETA<JK>=ft«:j,K>+A<J,I>!t!A(bK>! NEXT

90 LETB<:j>=B<:j)+A<:j,i>jitB<i)! next j: next I

100 LETX<N>=B<N>/A<N,N>

110 FOR I=N-1 TO 1 STEP -is LETH=B<I>

120 FOR J=I+1 TO NS LETH=H-X<J>»;A<bJ>sNEXT J

130 LETXa>=HA<bn:NEXT I

140 PRINT

158 FOR 1=0 TO N-lsPRlHT!3.0!A<I>=!F1.9!Xa+l>!NEXT I 160 INPUTBBEAHTE X=ZsLETS=0sFOR I=N TO 2 STEP -1 170 LETS=<S+Xa>>«ZsNEXT I

188 PRINT VCX>=!F1.9!S+X<l)sG0T0 168sEND

+!+C2as+ ... +Cmam = do,

Ctan + C2ai+C3a2+ ... +Cm+\am-di,

CmCfl + Cm + tai+Cm+2a2+ . +C2am-dm,

Ci== X! xi, /=0, 1, 2, .... 2m, (5.26) 1=1



. , -

5.24. , :

£= 1 10~ ( 1 - / , \ ,

) : = 2, £ = 0, /4(0) =3, -(byo + ly-yi)/6,

(1) =0,4, (2) = -0,01 ()=,3\ fe-1+ + </;+i)/3, I</<W-1,

X = 7. , Af = (5(// + 2(//-1 -/-2)/6, 5.25, -

£ N - (-

. yi).

5.27.

6 5.7. - . 5.2.

5

- - "-(3 + 2.+(/.-(/4)/5,

- (4{/o+3i/i--2(/2 + (/.)/10,

, =te-2+-i4-( + (/,+ p+y;+2)/5,

- 2-<i-<W -2

, , . - lo,, , "",7" w.

(...), <>- + 2/ 2 + 3<// i +4{/,v)/10,

. yN=iyN + yN-i+yN~2-yN-i)/-

le 1-"0 HAMMEHbiJlJ-iX

15 PRIHTC »

INPUT N=4

35 DIM X<H),VCH),ZCH>/B<H>/G<H)/A<H/H)/C«:h.H>.B<S*H)

38 FOR 1=1 : PRINTIS,8! XlfVI

35 INPUT X<I>,V<I>s NEXT I: LET N=1

48 PRINT 8- 58 INPUT* 1- U:IF U=9 GOTO 88

66 INPUT M<N M=N5&0T0 85 88 1=1 85 LET N=N+ls FOR J=0 TO - IF J>N GOTO 95 98 LET B<J>=8

95 LET ]r<J>=e! NEXT Js FOR 1=1 TO : LET Ri=V<I):LET F=l .185 FOR J=l TO 2!i!N-l: IF J>N GOTO 115 lie let B<J>=B<:J>+R! LET R=R*Xa> 115 LET D<J>=D<J>+F! LET F=Fii!X<:i): NEXT J: NEXT I 128 FOR 1=1 TO Ns LET K=I: FOR J=l TO N

138 LET A<I,J>=D<K)s LET K=K+1! NEXT Js NEXT I . .

140 LET Nl=N-ls FOR K=l TO N1 150 IF abs<A<K/K>>>0 GOTO 238

168 LETKl=K+l:FOR M=K1 TO N: IF ABS<A<M/K))=0 GOTO S18 190 FOR L=l TO N: LET U=A<K,L>! LET A<K,L>=A<M/L) 280 LET A<M,L>=U: NEXT L 210 NEXT M

220 LET u=b<:k>! let b<k)=b<m>! let B<M>=U

238 LET 6<K)=B<K)-A<:k,K>: LET K1=K+1

240 FOR I=K1 TO N! LET B<I>=Ba>-A<r/K>!«i<K)

258 FOR J1=K TO NS LET J=N~J1+K5 LET C<K»J)=A«:K,J)/A<K»K)

260 LET A<bJ>=A<bJ>-A<bK)!(iCCK,J>!NEXT JlsNEXT Is NEXT

280 LET M=Ns LET Z«:M)=B<M>/A<M,M)

290 LET M=M-l: LET S=85 for L=M TO N1

308 LET S=S+C<M/L+l>!i!2<L+l>s NEXT L

310 LET 2<M)=G<M)-S! IF M>1 GOTO 298

320 LET E=es FOR 1=1 TO Hs LET S=V<I>s LET R=l

338 FOR J=l TO N! LET S=S-R3*Z«:J)! LET R=R!ifX<Os NEXT J

340 LET =+8! I:LET E=SQR«:E/H>s IF U=i GOTO 378

358 IF =<1 GOTO 378

368 IF N<H goto 85

370 PRINT M=N-1

388 PRINT!F1.9! E=E!IF U=l GOTO 398 385 PRINT E » N 390 PRINT

400 FOR 1=1 N!PRINT!2.0!A<I-l>=!F1.9!2<n5NEXT I 410 1 X=XsLETQ=0sFOR I=N 2 STEP -1 420 LETQ=<Q+2<:i>)!t«sNEXT l!LETQ=Q+Za> 430 PRINT V<X>=Q!GOTO 410SENB



le 1!1.9!0 1 3

20 =

30 PRINTBBEAHTE V 6sINPUT ft

48 PRINT V IsINPUT

58 PRINT V 2:INPUT

60 PRINTSV 0=<5*ft+2*B-C>6

70 PRINTSV 1=<A+B+C>---3

80 FOR 1=2 TO N-l:LETA=B:LETB=C

90 PRINT!3.0! V1+1=:IHPUT

100 PRINT-SVI=!1.9!CA+B+C>/-3:NEXT I

110 1?1!3.!SVH= !F1.9U-A+2*B+5*C>.6

1-20 ENB

5.2

3 5 {JV = 9)

yi

!

yi -

-

yi -

-

3

=\

3

y=Wx

5

5

0,97

0,992

5,973333333

6,044

2,12

1,98

1,995

6,92

7,056666666

7,024

2,92

3.063333333

2,998

8,15

8,04

8,004

4,15

3,99

4,038

9,05

8,957

5,05

4,998

9,8

9,825

9,91

5.28.

10 PRINT 5

28 INPUT N=H

30 PRINTIF1.9! V 8=!INPUT

48 PRINTBBEAHTE V 1=sINPUT

50 PRINTBBEAHTE V 2=sINPUT

68 PRINT V 3=sIHPUT D

70 PRINTBBEAHTE V 4= INPUT E

80 PRIhn-SV 0=<3*A+2!i!B+C-E).-5

98 PRINTSV 1=<4++2+>10

lee PRINTSV £=<ft+B+C+Ii+E>/5

110 FOR 1=3 TO N-2

120 LETA=B: LETB=C: LETC=Ii! LETD=E

130 PRIHT!3.0! V1+2=:IHPUT E

140 PRINTSV 1= !F1.9!<A+B+C+Ii+E>5

150 NEXT I

160 PRINT!3.0!SVN-1= !F1.9UB+2«C+3*D+"4*E>10 170 PRINT!3.0!SVN= !1..+£+->/5 188 END

. . 5.2. -I

= (39i/o + 8(/i-4 {2+ - *) +-2(/)/42, (/, = (8(/+19yi + 16(/2 + 6(/3-4(/4-7i/5 +

+ 4(/7)/42,

2 = ( - 4(/ + 16(/, + 19(/2 + 12(/ + 2(/4 - 41/5 +

+/)/42.

,= (7(/, + 6 ((/,.+ ,+(/;. ,) +3 ((/, + 2 + (/,-.2) -

-2 (,+ + </,-))/21, 3<i<W-3, yN-2= (i/AZ-e -4(//-5 + 2(//-4 f 12(//- +

+ 19</w 2+ 16<//- 1 -4<//)/42,

yN-i = (4(//- -7(//-5 -4(//-4 +6(//-3 + +1 /-2 + 19(//-. 1 + 8<//)/42,

(/w=: (-2(/,-+41//-5+4/-4-4<//--

-4//-2 + 8<//-1+39(//)/42.



0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 [46] 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78



0.1037
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