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N μ σ rnorm N' N 20 / : R N' 1 matrix : i 1 N' range R i el 20 Random μ σ ICDF.Normal 2 col : for R R mat2sys sys2mat : 41 line :

numbin v min - size / Floor 1 + :

size min max vx hist numbins max min - size / Ceil : numbin vx min - size / Floor 1 + : h numbins el 0 : norm 1 size vx rows * / : i numbin h i el h i el norm + : i 1 numbins lele nop cases 11 line for x min 1 numbins range 0.5 - (size * + : x h augment 71 line :

numbins: total number of bins. rounded, because it is an index

numbin: this vector contains the number of the bin where

the corresponding element of vx belongs to. see right -->

Initializing h (Not sure if needed)

norm: normalizes the histogram area in an graph to 1.

The histogram values are "counts", if you set norm to 1

you get the counts

for... filling the result, excluding values below min and over max

x: vector with the middle of each bin

empty bins are also included in the result (see right).

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v 128814 mat transpose :

1 0.5 10 v hist 1 0.25 2 0.25 30405060708 0.5 90100102 mat

min 0.5 :

size 1 :

numbin transpose 128814 mat

min 1 :

size 5 :

numbin transpose 112214 mat

5110 v hist 3.5 0.1 8.5 0.1 22 mat

σ 13 / :

Example

μ 10 :

N 100000 :

G x μ σ pdf.Normal :

v N μ σ rnorm :

H 0.1 812 v hist :

G H . 3 blue augment S 3 1 sys