1781a992-9587-4494-837f-4c544e79b2e7 16 Ian HOOTON 4 5 decimal

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

vx 140150160170180190200225250300350400450500126124123120118115112105998778706458214 mat :

vx.1 140150160170180190200225250300350400450500114 mat :

vy 2030405060708090100110120130140150141 mat :

σ.ct 1261241231201181151121059987787064581081071051031019996908575676055508988868583817974706255504541727170696866646057504540373459585756555452494641363330274848474645444340383330272422404039383737363331282522201933333332313130282623211917162828282726262524222018161413242424232322222019171513121121212020191919171614131211101818181717171615141311109816161515151514131211109871414141313131312111098771414 mat :

Note row 4 should be 375 d.t 50050050037530030025020020091 mat :

d.dd 2.6667 5.3333 8 10.6667 13.3333 16 18.6667 21.3333 2491 mat :

vx cols 14

a b c linterp2 i c length : result i Zeros : i 1 i range result i el a b c i el linterp : for result 41 line :

vx 11 vx cols range el transpose vx 21 vx cols range el transpose d.t linterp2 5858587487879911211291 mat

Determine value of q from σct table r 1 d.dd rows range d.dd r el 20 ≤ q r el vx 11 vx cols range el transpose vx 21 vx cols range el transpose d.t linterp2 r el : q r el vx.1 vy σ.ct d.t r el d.dd r el InterpBilinear : if for

Only transposed to fit on sheet q 58585874878799 109.8667 105.6 91 mat

Proof of 2nd to last row of d.t & d.dd vx.1 vy σ.ct 200 21.3333 InterpBilinear 109.8667

Proof of last row of d.t & d.dd vx.1 vy σ.ct 20024 InterpBilinear 105.6

q 58585874878799 109.8667 105.6 91 mat :

q 58585874878799 109.8667 105.6 91 mat ≡

vx 140150160170180190200225250300350400450500114 mat :

vy 2030405060708090100110120130140150141 mat :

M 1261241231201181151121059987787064581081071051031019996908575676055508988868583817974706255504541727170696866646057504540373459585756555452494641363330274848474645444340383330272422404039383737363331282522201933333332313130282623211917162828282726262524222018161413242424232322222019171513121121212020191919171614131211101818181717171615141311109816161515151514131211109871414141313131312111098771414 mat :

create/isolate M vy stack vx M stack augment :

data 14015016017018019020022525030035040045050020126124123120118115112105998778706458301081071051031019996908575676055504089888685838179747062555045415072717069686664605750454037346059585756555452494641363330277048484746454443403833302724228040403938373736333128252220199033333332313130282623211917161002828282726262524222018161413110242424232322222019171513121112021212020191919171614131211101301818181717171615141311109814016161515151514131211109871501414141313131312111098771515 mat :

1. Technique to interpolate a data table

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M x y Spline 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 s j el B C 1 C rows j j submatrix y linterp : for A transpose s x linterp 51 line :

data 25080 Spline 31

data 24075 Spline 35.3