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0 �faEJjfi,ffr 0 R.Ha1'1mer_, HJlocks., U./t:ulisk anol D.Ro.fi:
0 N<Americal Tool box for Verified Co1JtfUfit13 I., Srri1tjev-Vevfa3 ( !P93)
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t�fl� ttii., P111@_t'J B 8�JlJlt P= c tx= t C-J°'Xit=J
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�' t ") PlJ/1 f (t> ,�iJ � 1, 11.1 1 J C1) t �- a 11 P) f. t", t,., ... ., t" ,� 71111d
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I � 2. k (2. P(t)=-zCo -t LCtTl(t) C�= �f(t)� J.t�TL) �=-1 J 1-\-t I ,<=o 2Jt+
t L fr. J: �, PC t ) E f Ct ) 0> fr. t ·· > z. 7 ifii'Pa J J Jr-� � t. of .J ,··.
Fo1 7 -tz. t .. 51- 7 11 tll i\T.,.(t)= ccq_ ('ll�t) (11.=0,/,2, .. ,)
I::: 7 " 1 , Ti ( t ) � T� { t J, 1 ( t J � t {l) j J �ffil � {/) fi; T·i<: t! .
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,.t. {t) = . IT . . t - ta: ( J. = o, I, ... , n) t ch· 21=1,3; ... t..i-ta
P<t)= Lf<t;),t(t> ;1..: I
I:: L f: t �. Pct) E .f Ct> 0) 7 t·5: �;�;t;m·P,fJ t 0:t lfr·:
: : 7. .. I d, 5 : [ (l , e J � /f(, 1/,· }� � �' (... � (/) 7 7 .. 7 / :,;'�inn 'f ,?I p1-r· + 0' ec. · , m 11,i{ F -J L .t" � t 1 :a . · , . � ( t�: , I f <tJ - />(t) I� cn.;o ! 1/F"'
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b'" h �' �. ( it,b lit-Ji, �fq1l1*-�J�i e. ti1AiJt f f. 122)
f I /. 7. I .:.. :z - /<,, . J - ·:; 0) �� 4,'1 �c. 7 ?"5:. S,"�imr?ej � 1t � 1,
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<}L, E � it!L 1 d1dJ
E. =Se ( .f(t) - rct)) dt � s fJ.(t-Q )(t-C) f (t)- P(t) �a. o. (t-a>(t-C>
: : 1 ··. :ti �-i' Cl> 11; .2 Jft� 1A ��.I£ --------
3 ct> JJ,·· ��, tE(a,e.;r·->tJj-s -r�� �CtJ�,··e_fl;.� [a�tJ
-z-· �-* 'd' b lcf
� &1> � S e [ a 1 -8- J IJ'·°#1i � 1
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,,.
l: = (t-a.)(t-e.)ctt = ;-(S)-r(S) "{- (C-o.JJ t - f'csJ-P<SJ s.-e r b
(5-a>(s-CJ a. cs-axs-e.J 6 J
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-0.} S-6-J
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2, 6 /2. ,t:., ff-� I ' � . f 4-1:J ./ L,� o. -------------
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S<t;olt = t -a [fraJ+frtJJ]- f!!)r-e-aJ3 J� 2 � '
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5f �l)<'l/lJjf} f z [o.,CJ-IR ,�t}l. �-P(t) :i;x�t Ptt)= (t- t)(t-cJ fra.)
f<t) (o.-e.)(a-c)
-t (t-� )(t-c. J;(tJ.)
( fl. -o:J. 6- -c >
+ ( t- (). )( t -,e_)f ( C )
(C-0. )(c--6-J �i·<c,
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f<t) dt =�( J'(to)�4f(t,)-f f(t2))- _9/.; r'nJ l )a, 3 0
t a -t e , fr-a. ) 1.----______ (frJc""L, to =a, L=C- ) , =
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2
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@ .:.:i:-�/·:l-') O) i:�
© ,@ !. ; � {l) 1t ;i;, 7 r 7 :,,- :/1imJ" PIJ� 1··.�t � t, ::=. J - f. :- ·"J -'1 If)� i\; E�a.
r f<t>olt =Aw. fct,)t E
t�r�.-t,
1-A4. = h, (" £ (S-t )··· (S-�tl){.S-�-1) ... (S-11-) JSJo �(i-1 )··· (�-it I){ �-°R-1) ... (� -11.,)
E=
Jt+3 f (h+2)(3) (h h <n+2)! )
0 (S-z).S(S-1) ... (S-n)r/..S
_h, __ l_5J S(S-1) ··· ($-'h) d.sI h12 f (h+IJ1<, ih
(n.-tf)! 0
I t,c1, -��',,,t2+1MA"' 5t.l! E ,J# &m 1·�1J-.. �,) µ ") �;\;Id BJJ � t,, (" {f". st. ffe i.ren /,)," ;j; L�,f.,j Jf_ E JG� L fr
11 1
J 1i� 1 tr) i; € ( T;j'fl3' t � ) ::;>(D
{fJ 1t= 3 ") ii.g ( ',,;,. 7' '};, ,,1;; =- � �) ( :,;, 7" ');.."' ; �4 H •.:j IJ:/f �) s: frt>Jt = f ( f{t.J+ 3Ht.>+ 3 f<t,>+ frt,i>-W, f"4H J
1fl 1t:: Lf ()) i'§' ( 7··-1v· ·II) ��) ( Boo le's rule J
S)t)d.t= :� (7frt.)t 32 s<t.)t ,2f1t. )+32f(t,)+7fft.J)- �1 f"h)
Poi 1 f ct> = Ai>,, n, t t f ff31 [ o, 1 J 1 � ls l $ .
SI
S' . - ]' 2 S<tJcft=- ,4,v,,iT[tdt= [-Lcosn.t =:::- z·iJJ.
0 O Tu o ll.i
� Pa� [ o, t J � 6 �}l L 7 )t'Sff Se? t�t) ti\:© }!if j t,
ff ftJ dt• Ip ff (o)+ 2J(f )+2f(:) +2 f(1) +2f {i:J+2fff)+f<�+ EI 3 (..1/ �
E = + [1 { !L'AM,. 7l, J, + /L �7[3, + ... + iC' ,t..,. \} d? I £1 � f 4 J[, < 'if
7 J'). i = f { f (0)+2f{l} t.Zf({) + 2f{1)+2f{t} + 2 f({ Jtfci!}tE.
:O)�tMiL./! - []/ < 2� 1"ih�.
D 1:�1 ra �at �t·� J ( +61t<�1tJ .. 1kvi a ... )
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§ II. 7. 2. 417 - · 17 O- � ./ (l) i-0 ti\; t ;ftjt t\ ">#j/1, (Jo�[)
f3 it��;\ Id, Jr,]!� Jl1fl 0 tti �' 'a� t"T� it �-�I)f�%:JJ··· t <'l � : 'c/J''°t" � lt 1 " � . � (1) � t f I �A, I: 1,{j - r 17 a - 9 / P>tat �� f �. ( it� 11 tit. P. /32)
f ll. 1. 3
i� � /J' �r Pl]ft J: [ o, 1 J ---) JR,�?" c, 1 r;, 1,. t�i�' �/5.ta. '
gcxJ: _f'f ltJdt ( Ot X ! 1 )
;t �! �, t.& 1A. �t-JA. 1 a r,,�� t ,�, /J'',J; /fib Al,·:.'- -6.
rr f',..'1t"° < M ·Q" . .to. a', t 1: 1 Jt. ,,r: ---�
I j 3 (xJ - frrtJ.U I < (:;2)! x ••2
�����·�--7"-·----�----�---���_; 1:Jiii\'"> J.t1l.1l�1t7 1 ,1"21<1 �ttJ'··,-it·!t.'tt�.
\ 17iJ tin I Ji 1�-1v J j 1,� t( 1d' d) 1 ·•
) te\tt = xex -e+c �J:i 1:,r1.Jt"-'M0ail �i)J--�;J, ct-a 0ta, -�i,�1c1?; 1 .. 'd�".
(it{�' Galois �b� ? �� 1�11. i j,0, ? )
§11.8 (1fl>1C)
, �ttf' 1o't"())}Wi ,�? 1 1 7/'J .filttJt1�ii' ( tt.tqJJ[�'{ij/l X�(t)>
i.=L··�h
l J4J " 7 rI1 �'J;i? ,t 1:: /,s ,*v· E /ivJ 'J ii. i 1 #J , l � � 5l. ) 'J· c··, -1!% c-h l 1 • a.. '
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