<p> Subdivide ... strip repeated </p>

52adabc3-61ae-4590-9582-f057026f394c 2 4 5 decimal

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

U 04613721831104195916101781873964103 mat :

sys sub subspace j 1 sys rows 1 - (range Vsub j el i 1 sub range #vx i el sys j el i sub / sys 1 j + el sys j el - (* + : for #vx 21 line eval : 11 line for v Vsub 1 el : j 2 Vsub rows range v v Vsub j el stack : for sys 1 el v stack 31 line 21 line eval :

◄  populate subspaces n 4 :

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

Xo U 1 col : Yo U 2 col : 21 sys

Origin Xo Yo augment : XoYo Origin o 8 black plot : frag Xo n subspace Yo n subspace augment : data frag . 12 red plot : 41 sys

plot Origin data XoYo 31 sys :

plot

frag 04 0.25 3.75 0.5 3.5 0.75 3.25 13 1.25 2.5 1.5 2 1.75 1.5 21 2.25 1 2.5 1112 mat

L H N xd U 0 : dx H L - N / : i 1 N 1 + (range U i el L dx - (dx i * + : for U 41 line :

most common discretizer myDiscrete 1 - 110 xd :

myDiscrete transpose 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1111 mat

algo intervals a b N intervals a b a b a - (N / + range :

2 sqrt π 10 intervals transpose 1.414 1.587 1.76 1.932 2.105 2.278 2.451 2.623 2.796 19 mat

L H N xd U 0 : dx H L - N / : i 1 N 1 + (range U i el L dx - (dx i * + : for U 41 line :

most common discretizer myDiscrete 1 - 110 xd :

myDiscrete transpose 1 - 0.8 - 0.6 - 0.4 - 0.2 - 0 0.2 0.4 0.6 0.8 1111 mat

algo intervals a b N intervals a b a b a - (N / + range :

X 2 sqrt π 10 intervals :

x f x 2^:

data X X f vectorize augment :

data 1.4142 2 1.587 2.5184 1.7597 3.0965 1.9324 3.7343 2.1052 4.4317 2.2779 5.1888 2.4506 6.0056 2.6234 6.8821 2.7961 7.8183 2.9689 8.8141 3.1416 9.8696 112 mat

data data . 12 black plot :

data x f 2 1 sys

Create/Export . . . user pivot meshed table

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]]> <p> Subdivide ... strip repeated </p>

Subdivide a range in 'n' intervals ... demo n pivot interval j 1 n 1 + (range h j el pivot - pivot j * + n / : for h 21 line :

Subdivide X vector in 'n' subintervals X n split i 2 X cols (range determine 'p' the pivots p i el X i el X i 1 - el - (: u i 1 - el n p i el * p i el interval : 31 line for recompose the subdivided X v u 1 el X 1 el + : j 2 u rows range v v u j el X j el + (stack : for v 51 line :

Strip repeated in vector data Strip v data 1 col : k 0 : i 1 data rows 1 - (range v i 1 + el v i el ≠ R k k 1 + : el v i el : 11 line end of strip recover last u 21 line if 11 line for R X X cols el stack 41 line :

pivot point

subdivide X 'n'
collect 'V' X 0.789 3 6.54321 13 mat : n 5 : 12 mat V X n split Strip : 21 sys

x f x sqrt :

Table x V : i 1 x rows range vy i el x i el f eval : for temp x vy 3 round vectorize augment : header X f(X) 12 mat : header temp stack 51 line :

Table 11 mat X f(X) 0.789 0.888 0.989 0.994 1.189 1.09 1.389 1.179 1.589 1.261 1.789 1.338 1.989 1.41 2.189 1.48 2.389 1.546 2.589 1.609 2.789 1.67 2.989 1.729 3 1.732 3.2 1.789 3.4 1.844 3.6 1.897 3.8 1.949 42 4.2 2.049 4.4 2.098 4.6 2.145 4.8 2.191 5 2.236 5.2 2.28 5.4 2.324 5.6 2.366 5.8 2.408 6 2.449 6.2 2.49 6.543 2.558 312 mat 11 mat

Remember ... Pivot system needs 3 points. The central point can be any in between the extremas. Vary 'pivot'observe the split ►

Table Table rows row 6.54321 2.558 12 mat

Table Table eval :

Table rows 31

N Table 2 Table rows range 12 range el :

pivot N . 12 black plot :

pivot 2 1 sys