<p> Cumulative Utilities </p>

d65e0bf6-1193-4d74-84ff-2d46d69a59c8 15 15 12 decimal

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

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Plot & Export cumulative data data Cumul vx data 1 col : vy data 2 col : j 1 vx rows range Σ j el vy 1 j range el sum : for vx Σ augment data Σ augment 21 mat 41 line :

Cumulative vector Σ utility v Σvect j 1 v length range Σ j el v 1 j range el sum : for Σ 21 line :

data 02251144281336495069736881914410225112 mat :

Sum data Cumul 2 el 1 col data Cumul 2 el 3 col augment : Cumul Sum o 5 black plot : 21 line

Cumul Sum 2 1 sys

data Cumul 2 el 02252251144369281450336486494955049569504736540881621914476510225990113 mat

v 10010 Random.N :

v transpose v Σvect transpose 21 mat 9080745964110 mat 991717242833424852110 mat 21 mat

Cumulative Flow Curve (Mass Flow Curve)

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Q 505050153861180229084010484753205805639971427661799482488467855183747839201 mat m 3^s / * :

This works only if both A & Q are unitless (ignore units q M_Cuve j 1 q rows range A j el q n el n 1 j sum : idx j el j : 21 line for idx A m 3^s / / augment 21 line :

SMQ Q M_Cuve :

SMQ

SMQ 1502100315043035116462966758748988491473110200511125856123225513393971447058155505216633001771767188031819886922096531202 mat

x bias f out bias : j x out out j + : for out 31 line :

v 1 i + 35 i + 31 mat :

mat 1 i + 2345 i + 623 mat :

b 1.25 :

mat b f 22.25 2 i * +

v b f 10.25 2 i * +