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4 - Memorial University of Newfoundland DAI

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f - L(+ 16 ,-a + 6/,., + 8h + 3/j+,), for j = N - I (A.23)<br />

f. ' - i(3~,-~-4Jj-3-6J,-tt+12J,-s<br />

16 +11Jj). for j=N.<br />

Least Square Smoothing Formulae. The smaoll>ing formulilc carrc-<br />

sponding lo s third.degree least square approximalion over five poiulx are<br />

given by:<br />

i, = $(3fj-, - 12J,-, + 171, + 12Jj+, -sfj+& for 2 < j < N - I<br />

fi = &QJ, -4Jr+1 - 61j+z t 4Jj+~ - Jj+J, (or j = 1<br />

= &(2fj-, + 27J, + 12Jjt -sfi+, +2fj+,), br j = 2 (A.24)<br />

= $(2~,_~-8J,.~ + 12Jj-1 -27Ji+2Jj+~), for j = N- 1<br />

j - I(-,.<br />

,-,+4Jj-~-61ifj-2+4J~.~tG91,), for j=N.

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