<p> New </p>

42142922-3085-4e5e-8c91-6830dd333907 664 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

x 3.393 3.393 3.393 3.393 3.393 3.393 3.393 00000000 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 221 mat ft * :

y 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 17.726 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 221 mat ft * :

P 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 113.1128 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 221 mat kip * :

data spec pts i 1 data rows range p i el a b c spec : for v p 1 el : Unest 'p' j 2 p rows range v v p j el stack : for data v augment 51 line :

X 3.393 3.393 3.393 3.393 3.393 3.393 3.393 00000000 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 221 mat :

P 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 113.1128 107.4432 107.9779 108.9285 109.9533 110.9782 111.9288 112.4635 221 mat :

Y 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 17.726 14.083 - 11.083 - 5.75 - 0 5.75 11.083 14.083 221 mat :

Point x ft / y ft / P kip / augment :

Point2d x ft / P kip / augment :

Point Point2d

XP X P augment :

a b c spec . 12 black 13 mat : pts XP a b c spec pts : 21 sys

pts XP 2 1 sys

YP Y P augment :

a b c spec . 12 black 13 mat : pts YP a b c spec pts : 21 sys

pts YP 2 1 sys

2. Construct the Bi-linear matrix

New x/y Y stack X transpose P diag stack augment :

Observe: Y direction ==> ... X direction [up/down] ... "x/y" any alpha numeric character New x/y 3.393 3.393 3.393 3.393 3.393 3.393 3.393 00 14.083 - 107.443 00000000 11.083 - 0 107.978 0000000 5.75 - 00 108.928 0000000000 109.953 00000 5.75 0000 110.978 0000 11.083 00000 111.929 000 14.083 000000 112.464 00 14.083 - 0000000 107.443 0 11.083 - 00000000 107.978 5.75 - 0000000001110 mat

New x/y 3.393 3.393 3.393 3.393 3.393 3.393 3.393 00000000 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 3.393 - 14.083 - 107.4432 000000000000000000000 11.083 - 0 107.9779 00000000000000000000 5.75 - 00 108.9285 00000000000000000000000 109.9533 000000000000000000 5.75 0000 110.9782 00000000000000000 11.083 00000 111.9288 0000000000000000 14.083 000000 112.4635 000000000000000 14.083 - 0000000 107.4432 00000000000000 11.083 - 00000000 107.9779 0000000000000 5.75 - 000000000 108.9285 00000000000000000000000 109.9533 00000000000 5.75 00000000000 110.9782 0000000000 11.083 000000000000 111.9288 000000000 14.083 0000000000000 112.4635 00000000 17.726 00000000000000 113.1128 0000000 14.083 - 000000000000000 107.4432 000000 11.083 - 0000000000000000 107.9779 00000 5.75 - 00000000000000000 108.9285 00000000000000000000000 109.9533 000 5.75 0000000000000000000 110.9782 00 11.083 00000000000000000000 111.9288 0 14.083 000000000000000000000 112.4635 2323 mat :

x y M bilinear A M 112 M cols submatrix : B M 2 M rows 11 submatrix : C M 2 M rows 2 M cols submatrix : j 1 A length 2 range CC j el B C 1 C rows j j submatrix y linterp : for A transpose CC x linterp 51 line :

u v f u v u v New bilinear 31 mat :

Δ u v f 1 - 11 - 12020 CreateMesh :

User/orient. γ 1101 - 101 - 0033 mat :

plot Δ γ * 1 col Δ γ * 2 col augment :

x y surface x y New bilinear :

plot