<p> replicate(P,v) </p>

96786f34-dc07-4604-ba95-0ca6340c5244 16 3 5 auto

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

Core component of the stem style P v replicate Mathcad 8 Pro. Treasury 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 41 line :

N histogram value table count k 1 : j k table rows range table j el value ≡ index k el j : k k 1 + : 21 line index k el 0 : if for index rows 31 line : i 1 N max range x i el i : count i el i N count : 21 line for x count augment 31 line :

M Min Max Scale Max Min - (M M min - M max M min - 106 -^+ / (* Min + :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

n 100 :

Rnd n random n Random 10 n Random * 100 n Random * Floor 100 n Random * Ceil 15 mat :

i 1 n range P i el 3 : P n el 2 : 21 line for i 1 n range v i el i : for i 1 v length range Y 3 i * el rnd i el : for 31 line

col
explode col
sort(rnd)
histogram j 4 : rnd Rnd j col 1 el : N rnd sort : H N histogram : 41 sys

u P v replicate : V u Y augment : V V 3 V rows range 12 range el : 31 line

Uniform noise produces ... =>

... => Uniform histogram

H 0.001 BarSize

Create a vector of ~ normal random [CLT] RndNorm 10 n Random * 20 n Random * + 30 n Random * + :

N RndNorm Ceil sort : H N histogram : 21 line

In this demo, λ is a 
"fake scale" factor 
to see PDFnormal, to
be optimized  "Genfit" λ H 2 col sum : μ H rows 2 / : σ H StdDev : 31 sys

plot H 0.001 BarSize λ x μ σ pdf.Normal * μ 10 μ 2 - 22 mat 41 sys :

Normal Gaussian histogram [CLT]

plot