File0004 - .-cfw_-+ &.,1.), tt - \ f L Y , , 7 , ) r- -...

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.--{-+ ) tt - | f \ l r-t &.,1.), LY,,7,)r - -, (vn,7^) ) a+ rV,'*- I z- S jl :o{rN :' " %" Ph.)-g" I q,xo -r. a..r""}. .". a,, X,.1. ..._. .,,.*. ...'. ...- Hr. ,"+-',^.,,,^-, :;:;'- 1li ll,, l^l ftl , [j u ""' '^J: L"^] L-T"".!- 1 L*o,p) t.-., (v^,1,\', Ir(. . .t" . * "*4.f'
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7 /",{-- l'( I rdJ^- fr-r ) &* 0' i l-* * )Jeu. 'J,- li i
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X I ,-1 a./ a.q 55 l-r y1o*lD. l'1$ l- s6 - r3.:- il.o ']_tD , r->-l -1.10 /.t . .-l -1.'r) _: .l.vd or6-c-/-]r' " l. ,1 , 3.)- r. r- r i4'A'-frb$:s Cl, f.sc), (l')r.*-),lo), l?J,:y'>,) . \ ff -t,>\. DIx+ D(x z-t) r no'ft -'; (v',:7 ) (r- t.1t Q-2. >l /\ '{r-r)-( -|3.2 t (*r:)[zt.,t 1(r-zt)('.to-rr (x:.t,,::a.r-ef )) F.'*t ?*^ {r . r- -1.3r ) Rrrr: Pc(t) :i. r{ 'I^1", , tto.trz'"',,- cli.,<-^ r {*t rl69:-- .jrl.? .?636 . tEBd - 6 ?ct) r ?8 5-l' P>#)=^.qld66FL< l.oDx ?rtyt.--26zly'+ ,,"1 | (. ?-):> t.t-r,ul" (.:ird ,4 -l b i 3 .! b E 6 I >t(r) Lo#ur.,,, |:---: r t+{2. .d of . .r.f,.i s o^o-.1 "Ar.l .ci'.{<,- -4. .6 p,fu) -r-hu -r.nl E' rt ( -lz\ | )otol r ----'--_+.J_
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-.. , ^G'"* dt^ta-- *,- / A4^ ,t I c,l. c ,( 1,. ..("r""-":) -t9-- at *--. . ...0.o rd . a,lz"o)c. .-. .-1 | {k<z- P-'t*l
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I I v L [] I {.1 A-c-Ia". . pu!,*,,.ioL lo* . t- t.!^L.4. ..s4.-- .P,{x)'g.f.*-. .r.ex.1.*.{,x.*- - -. ..- A c,,L'-. . . .13" lr,,rc* Lr*J -{r -(ro.-,,-) ,v-,,n,a,* *t. . . . --".-. .. Do r ^449 c-Ji 1...q,-r l q I . . r ''' '' ' ' r"tr Q e,.d @e^4.
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Given n data points (xr , w) , @2, yz) . . ' (x-, MTH 510, Numerical Analysis 1r t2 : h, h, Tao+ 641 h^_, h-_, j=a--z+ fo"-' w-vr _,1 t Un - Ur-r s" h*, Cubic Solines y,,), we have a - I iuterr"als 11 each with leugth h.i: : @t, nzl ht= xz- rt = lrr, ,"1 bz rr rz lzi, z;atl h1= Ii4y xi ir.-r, raf h1 sa rr-1 A cubic spline is a collection of crrbic polynomials Pr(x), P2(r),.
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File0004 - .-cfw_-+ &amp;.,1.), tt - \ f L Y , , 7 , ) r- -...

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