data

dd3224f7-524a-49f0-98d7-7c3cfb300333 43 4 5 decimal

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

data

data 0.9 1.56 0.8554 1.69 0.8016 1.8298 0.7382 1.9757 0.6648 2.1245 0.5812 2.2725 0.4872 2.4163 0.3824 2.5525 0.2664 2.6774 0.139 2.7878 0 2.88 0.2045 - 2.8774 0.4181 - 2.8541 0.6378 - 2.8111 0.8606 - 2.7494 1.0838 - 2.67 1.3042 - 2.5738 1.5189 - 2.4617 1.7251 - 2.3347 1.9198 - 2.1938 2.1 - 2.04 2.2173 - 1.8514 2.317 - 1.6531 2.3989 - 1.4475 2.4629 - 1.237 2.5088 - 1.0238 2.5363 - 0.8102 2.5454 - 0.5988 2.5358 - 0.3917 2.5074 - 0.1913 2.46 - 0 2.3478 - 0.1116 - 2.219 - 0.2136 - 2.0762 - 0.3078 - 1.9219 - 0.396 - 1.7588 - 0.48 - 1.5893 - 0.5616 - 1.4161 - 0.6426 - 1.2418 - 0.7248 - 1.0689 - 0.81 - 0.9 - 0.9 - 0.808 - 1.0728 - 0.721 - 1.2494 - 0.6371 - 1.427 - 0.5549 - 1.6027 - 0.4725 - 1.7738 - 0.3883 - 1.9373 - 0.3007 - 2.0905 - 0.2078 - 2.2306 - 0.1082 - 2.3547 - 0 2.46 - 0.1798 2.4824 - 0.3677 2.484 - 0.5617 2.4658 - 0.7598 2.4288 - 0.96 2.3737 - 1.1602 2.3016 - 1.3583 2.2132 - 1.5523 2.1096 - 1.7402 1.9916 - 1.92 1.86 - 2.0856 1.705 - 2.2392 1.5389 - 2.379 1.3633 - 2.5032 1.1798 - 2.61 0.99 - 2.6976 0.7954 - 2.7642 0.5975 - 2.808 0.3979 - 2.8272 0.1982 - 2.82 0 2.6767 0.1903 2.5099 0.3763 2.3244 0.5568 2.125 0.7306 1.9162 0.8962 1.703 1.0526 1.4901 1.1985 1.2821 1.3325 1.0838 1.4534 0.9 1.56 812 mat :

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 :

H data . 9 black plot :

xy data :

Locate 1rst exact value in vector V x col FindIdx j 1 : V j col el x ≠ j j 1 + : while j 0 ≡ inexistant j V j col el 12 mat if 31 line :

All values project

data data rows row 0.9 1.56 12 mat

data 1 col Max 2.8272

data 1 row 0.9 1.56 12 mat

# # # FindIdx

xy 2 col Max 2.88

H 2.5 - 0.6 + 40 red 1 5 mat 0 2.88 + 40 red 1 5 mat 3 1 sys

xy 2 col Max xy 2 col Min 21 mat 2.88 2.484 - 21 mat

xy xy 1 col Max 1 findrows 2.8272 0.1982 - 12 mat

key data 1 col Max : col 1 : 12 mat

idxkey data 1 col key col FindIdx :

row of Max(X) idxkey 70 2.8272 12 mat

XY data idxkey 11 el row : 2.8 0.2 - 12 mat

key data 1 col Min : col 1 : 12 mat

idxkey data 1 col key col FindIdx :

row of Max(X) idxkey 28 2.5454 - 12 mat

XY data idxkey 11 el row : 2.5 - 0.6 12 mat

M key FindIndex r M rows : c M cols : 12 mat i 1 : j 1 : 12 mat j c ≤ (M i j el key ≠ (* i r < i i 1 + : i 1 : j j 1 + : 21 line if while j c ≤ i j 12 mat 0 if 41 line :

xy xy 2 col Max FindIndex 11212 mat

xy 111 el xy 112 el 12 mat 0 2.88 12 mat

xy xy 2 col Min FindIndex 53212 mat

xy 531 el xy 532 el 12 mat 0.3677 2.484 - 12 mat

range 115 range :

Hermite range xy range 12 range el augment :

Hermite 1 0.9 1.56 2 0.8554 1.69 3 0.8016 1.8298 4 0.7382 1.9757 5 0.6648 2.1245 6 0.5812 2.2725 7 0.4872 2.4163 8 0.3824 2.5525 9 0.2664 2.6774 10 0.139 2.7878 110 2.88 12 0.2045 - 2.8774 13 0.4181 - 2.8541 14 0.6378 - 2.8111 15 0.8606 - 2.7494 153 mat

range 4560 range :

Hermite range xy range 12 range el augment :

Hermite 45 0.5549 - 1.6027 - 46 0.4725 - 1.7738 - 47 0.3883 - 1.9373 - 48 0.3007 - 2.0905 - 49 0.2078 - 2.2306 - 50 0.1082 - 2.3547 - 510 2.46 - 52 0.1798 2.4824 - 53 0.3677 2.484 - 54 0.5617 2.4658 - 55 0.7598 2.4288 - 56 0.96 2.3737 - 57 1.1602 2.3016 - 58 1.3583 2.2132 - 59 1.5523 2.1096 - 60 1.7402 1.9916 - 163 mat

FindIdx(V,key,col) ... col matrix

data 10 0.59 21 0.61 32 0.65 43 0.6 54862 0.55 7 0.3 0.6 - 8 0.4 0.62 - 9 0.4 0.6 10 0.38 6114 0.45 12 0.45 0.48 - 13 0.5 - 0.5 - 14 0.48 - 0.45 15 0.45 4166 0.38 17 0.6 0.4 18 0.62 - 0.4 19 0.6 - 0.3 20 0.55 2218422 0.6 323 0.65 224 0.61 125 0.59 0253 mat :

Locate 1rst exact value in matrix V x col FindIdx j 1 : V j col el x ≠ j j 1 + : while j 0 ≡ inexistant j V j col el 12 mat if 31 line :

key 0.45 : col 3 : 12 mat

idxkey data key col FindIdx :

idxkey 11 0.45 12 mat

recover 'row'. data idxkey 11 el row 114 0.45 13 mat

Brute force search successive Max(col,▪)

Explode Lorentz data set

XY 0.1 6.905 0.3 10.567 0.5 18.504 0.7 39.878 0.8 64.004 0.9 101.6 1 126.706 1.1 101.822 1.2 64.451 1.3 40.556 1.5 19.673 1.7 12.293 1.9 9.293 3 15.124 3.2 21.711 3.4 34.35 3.6 60.908 3.7 84.199 3.8 116.214 3.9 150.8 4 167.442 4.1 150.756 4.2 116.126 4.3 84.065 4.4 60.726 4.6 34.065 4.8 21.306 5 14.572 5.5 7.542 6 5.847 6.5 10.223 6.7 22.186 6.8 42.04 6.9 101.908 7 201.789 7.1 101.681 7.2 41.582 7.3 21.492 7.5 9.026 7.7 6.026 8 3.014 8.5 1.711 9 1.175 9.5 0.883 10 0.699 452 mat :

U XY 115 range 2 el : Ω XY 1025 range 2 el : V XY 2635 range 2 el : Z XY 36 XY rows range 2 el : 41 mat

Observe ... If the matrix 'XY' has more cols, search respectively [U,V,Z]. Not yet click/click/done ! ! !

1

13

30

45

Locate 1rst exact value in vector V x col FindIdx j 1 : V j col el x ≠ j j 1 + : while j 0 ≡ inexistant j V j col el 12 mat if 31 line :

XY U Max 2 FindIdx XY V Max 2 FindIdx XY Z Max 2 FindIdx 31 mat 7 126.706 12 mat 35 201.789 12 mat 36 101.681 12 mat 31 mat

MaxLorentz 7 126.706 12 mat 21 167.442 12 mat 35 201.789 12 mat 31 mat ≡

XY 7 row XY 21 row XY 35 row 31 mat 1 126.706 12 mat 4 167.442 12 mat 7 201.789 12 mat 31 mat

j 14713 mat :

j j 2 el :

Explore Lorentz peaks ...

XY j 256 j 64 - 2 2 mat 2 1 sys

indices XY U Min 2 FindIdx XY Ω Min 2 FindIdx XY V Min 2 FindIdx XY Z Min 2 FindIdx 41 mat 1 6.905 12 mat 13 9.293 12 mat 30 5.847 12 mat 45 0.699 12 mat 41 mat

values XY 1 row XY 13 row XY 30 row XY 45 row 41 mat 0.1 6.905 12 mat 1.9 9.293 12 mat 6 5.847 12 mat 10 0.699 12 mat 41 mat

system 1 XY rows range XY augment :

Systtem

system 11 mat 1 0.1 6.905 2 0.3 10.567 3 0.5 18.504 4 0.7 39.878 5 0.8 64.004 6 0.9 101.6 71 126.706 8 1.1 101.822 9 1.2 64.451 10 1.3 40.556 11 1.5 19.673 12 1.7 12.293 13 1.9 9.293 143 15.124 15 3.2 21.711 16 3.4 34.35 17 3.6 60.908 18 3.7 84.199 19 3.8 116.214 20 3.9 150.8 214 167.442 22 4.1 150.756 23 4.2 116.126 24 4.3 84.065 25 4.4 60.726 26 4.6 34.065 27 4.8 21.306 285 14.572 29 5.5 7.542 306 5.847 31 6.5 10.223 32 6.7 22.186 33 6.8 42.04 34 6.9 101.908 357 201.789 36 7.1 101.681 37 7.2 41.582 38 7.3 21.492 39 7.5 9.026 40 7.7 6.026 418 3.014 42 8.5 1.711 439 1.175 44 9.5 0.883 4510 0.699 453 mat 11 mat

3D ► parametric(X,Y,Z,n) Peak Generator ...

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 :

data 0.1 4 0.005 0.13 5 0.005 0.15 3 0.006 0.23 4 0.01 0.25 5 0.01 0.4 4.2 0.03 0.44 2.1 0.01 0.65 4.3 0.01 0.76 3.1 0.005 0.78 5.1 0.008 0.81 4.2 0.005 113 mat :

X data 1 col : Y data 2 col : Z data 3 col : 13 mat

▲ flatten plot ... ▼ balloon plot n 2.5 :

x peak Y j el 1 x X j el - abs Z j el / + (n^/ j 1 data rows sum 11 line :

XY i 1200 range x i el Z Min i * : y i el x i el peak eval : 21 line for x y augment 21 line :

XY XY eval :

absolute wrt fractional 'n' # abs

XY XY 1 XY rows range 12 range el :

peak explorer
system explorer j 6 : r 29 : 21 mat

p XY . 10 black plot :

Explorer j X Y Z 13 mat data j row stack 12 mat :

Explorer 6 X Y Z 0.4 4.2 0.03 23 mat 12 mat

xy XY r row : 0.145 0.8695 12 mat

system xy 11 el xy 12 el + 40 red 15 mat :

plot XY X j el 10 X j el 1 - 22 mat p 1211 - 22 mat system XY 1001 el 0.25 - XY 1251 el 0.25 - 22 mat 81 sys :

Each peak has magnitude in 'Y' ... located @ 'X' ... elevated 'min Z'

plot

system ranged on 
unary X plot. XY 11 el XY 251 el 12 mat XY 251 el XY 501 el 12 mat XY 501 el XY 751 el 12 mat XY 751 el XY 1001 el 12 mat XY 1001 el XY 1251 el 12 mat XY 1251 el XY 1501 el 12 mat XY 1501 el XY 2001 el 12 mat 71 mat 0.005 0.125 12 mat 0.125 0.25 12 mat 0.25 0.375 12 mat 0.375 0.5 12 mat 0.5 0.625 12 mat 0.625 0.75 12 mat 0.75 112 mat 71 mat

XY 2550 range 2 el Min XY 5075 range 2 el Min XY 100125 range 2 el Min XY 125150 range 2 el Min 41 mat 0.1447 0.1892 0.0606 0.0708 41 mat

XY 200 row 1 0.0047 12 mat

XY 1 row 0.005 0.0136 12 mat

arrow Charmap assigned as function name x ↑11 plot :

x ↑11

Dispatch the unary X direction ...

X 0012 mat 0.125 012 mat 0.25 012 mat 0.375 012 mat 0.5 012 mat 0.625 012 mat 0.75 012 mat 0.875 012 mat 1012 mat 91 mat :

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 :

N X 1 el + 20 red plot X 2 el + 20 red plot X 3 el + 20 red plot X 4 el + 20 red plot X 5 el + 20 red plot X 6 el + 20 red plot X 7 el + 20 red plot X 8 el + 20 red plot X 9 el + 20 red plot 91 sys :

jmG: 20230429