Stem module

23989b6f-a092-4413-ae19-bea04116a32a 11 4 5 decimal

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

Decades log10 stem X_Y plot

Stem module

Stem construction over a data set data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - range V V stem j el stack : for V V data data rows row stack : 71 line :

a b N split a b a b a - (N / + range : X j n Range X j el X j 1 + el n split : X j n Log 1 X j el n split : N Decades j 0 N range X j 2 + el 10 j^: for X 21 line : 41 sys

Exponential threshold  15 X 6 Decades : 0110100100010000100000100000081 mat

LogNegative X 110 Log log10 vectorize reverse :

range2 X 29 Range log10 vectorize : range3 X 39 Range log10 vectorize : range4 X 49 Range log10 vectorize : range5 X 59 Range log10 vectorize : range0 LogNegative : 51 sys

data2 range2 10 Ones augment : data3 range3 10 Ones augment : data4 range4 10 Ones augment : data5 range5 10 Ones augment : data0 range0 11 Ones - augment : 51 sys

α 4 π * :

log10 spaced stem style plot ... the first negative is far away @ - 15.86

data2 Stem data3 Stem data4 Stem data5 Stem data0 Stem α x * sin α x * / 6 1 sys

data2 Stem 11 mat 0100 0.301 0 0.301 1 0.301 0 0.4771 0 0.4771 1 0.4771 0 0.6021 0 0.6021 1 0.6021 0 0.699 0 0.699 1 0.699 0 0.7782 0 0.7782 1 0.7782 0 0.8451 0 0.8451 1 0.8451 0 0.9031 0 0.9031 1 0.9031 0 0.9542 0 0.9542 1 0.9542 01011282 mat 11 mat

X 120 Range 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1211 mat

X 418 Range 1001502002503003504004505005506006507007508008509009501000191 mat

X 19 Range 0 0.1111 0.2222 0.3333 0.4444 0.5556 0.6667 0.7778 0.8889 1101 mat

Stem from vector [vy], Typical: Fourier

Core component of the stem style P v replicate k 1 : i 1 v length range P i el 1 ≡ continue j 1 P i el range T k j + el v i el : for k k P i el + : 21 line if for T 31 line :

Stem construction vy stem N vy length : i 1 N range q i el 3 : q N el 2 : 21 line for 11 line i 1 N range v i el i : for i 1 N range S 3 i * el vy i el : for u q v replicate : V u S augment : V V 3 V rows 12 submatrix : 71 line :

Smath 6179 does not take the Smath 5346 compacted construction. This open style works more naturally.

U range2 10 Ones augment :

U 01 0.301 1 0.4771 1 0.6021 1 0.699 1 0.7782 1 0.8451 1 0.9031 1 0.9542 111102 mat

New U Stem 1 col U Stem 2 col 0.5 - augment :

Not too nice return carriage Not so usefull either ... However profitable calculate

New α x * sin α x * / 2 1 sys

Calculate at log decade ...

u U 1 col : j 210 range sin j 1 - el α u j el * sin α u j el * / : for u u 210 range 11 range el : system u sin augment : system 92 el 0 : 51 line

system 0.301 0.1581 - 0.4771 0.0473 - 0.6021 0.1267 0.699 0.0681 0.7782 0.0354 - 0.8451 0.0876 - 0.9031 0.0827 - 0.9542 0.0454 - 1092 mat

Margin system collapse in utilities @ top work sheet

λ η m M 0 : i 1 λ range j 1 η range M i j el 255 : for for M 31 line :

collapse @ top of work sheet. creates matrix η pixels thick of 'λ' length 'η' pixels thick adjusted in-situ

▼ in-situ length/thickness ▼ .. hide/collapse after use ..

In-Situ user MarginLine ... collapse after use

'λ' length, 'η' thickness
margin(λ,η)... slide  ◄ ►  ... ▲ ▼
color scheme λ 2 : η 100 : 12 mat ω λ η m : L 1 ω * 1 ω * 1 ω * 13 mat : 31 sys

ω ω ω 13 mat white ≡

Not too nice return carriage Not so usefull either ... However profitable calculate

New α x * sin α x * / 2 1 sys iVBORw0KGgoAAAANSUhEUgAAAGQAAAACCAYAAACuT3kTAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAAZSURBVDhPY/wPBAyjYNAAJig9CgYFYGAAAHucBAD6G11qAAAAAElFTkSuQmCCgmCCdQAAAABJRU5ErkJggg== L

Switch border OFF slide the graph ► over white line