84fa8076-c4ab-4342-b9c0-af41b34fda24 39 6 5 fraction

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

In the definition Random(n), 'n' defines the length 'n' of the vector, i.e: a range vector. The LHS argument is not coded for for "range" [n:=1.."end"] Its counterpart is the local definition.

2 μ Random * 1 -

μ Random 0.5 -

Unform ...  -1 < rnd < 1 n rnd μ n 11 line : 2 μ Random * 1 - 21 line :

'N' decimals ...Uniform ... -1 < rnd < 1 n N Nrnd i 1 n range r i el n rnd i el N round : for r 21 line :

102 Nrnd 0.72 0.51 - 0.82 - 0.26 - 0.93 - 0.82 0.78 0.76 - 0.11 0.97 101 mat

10 rnd 0.686612 0.75571 - 0.629577 0.187686 0.160993 - 0.23496 0.110848 0.692029 0.820068 0.639252 - 101 mat

alternately 2 μ Random * 1 - (i el N round ≡

n 1000 :

n R X n rnd : Y n rnd : 21 line X Y augment 21 line :

Filling the UnitSquare

n R 0 2 1 sys

An imortant nuance wrt XY(n) n X n rnd ≡ illegal syntax ≡

n 3 :

n XY X n rnd : Y n rnd : 21 line X Y augment 21 line :

n XY 0.056 - 0.59 - 0.99 - 0.665 0.334 0.91 32 mat

Smath Random(n) is very reactive in the Ws. It may need special construction. In this example, update (n) ... X extracted from XY(n) don't update equally.

X n XY 1 col :

X 0.894145 - 0.673039 0.367694 31 mat

Y n XY 2 col :

14 / rnd #

Consequently of Smath "Random(n)" coding, and the dependent local definition: it won't randomise fractional number.

Optimiz Numeric, decimals 1 rnd 4 / 1 rnd 4 / 1 el 21 mat 0.241509 11 mat 0.08277 21 mat

denom 4 :

λ 1 :

λ rnd denom / λ rnd denom / 1 el 21 mat 0.0036 11 mat 0.208622 - 21 mat

The raw result is nested by Smath code. Unest by indexing. Expect "reactivity". No problem, we will use either result. --------<---Both reactive --->--------

Must be scalar 1 rnd 4 / abs 1 rnd 4 / 1 el abs 21 mat #

1 rnd 4 / 1 el abs 0.240787

Does not collect vector of individual |absolute| Argument must be scalar [single element]. Will do it by running in small program.

random(n) is not listed in menu f(x) Note: does not need local definition.

n rnd n random :

n 10 :

Indexed .... random(n) Smath buit-in
Visit : Stem style n myrnd j 1 n range rn j el j rnd j / 0.5 - : idx j el j : 21 line for idx rn augment 21 line :

n myrnd 1 0.5 - 203 0.166667 - 405 0.3 - 6 0.5 - 7 0.357143 8 0.125 - 9 0.388889 10 0.1 102 mat

Single vector  -1 < rnd < 1 
runs on programmme n myrnd j 1 n range rn j el j rnd j / 0.5 - : 11 line for rn 21 line :

n myrnd 0.5 - 0 0.166667 0.25 - 0.1 0.166667 - 0.214286 0.375 - 0.166667 0.5 - 101 mat

Some project need  |absolute| n myrnd j 1 n range rn j el j rnd j / 0.5 - abs : 11 line for rn 21 line :

n myrnd 0.5 0 0.5 0.25 0.3 0.166667 0.357143 0.375 0.055556 0101 mat

Collect two randomised vectors n myrnd j 1 n range x j el j rnd j / 0.5 - : y j el j rnd j / 0.5 - : 21 line for x y augment 21 line :

n myrnd 0.5 - 0.5 - 0.5 - 0.5 - 0.166667 0.5 - 0.25 - 0.25 0.1 - 0.1 - 0.333333 - 0.333333 0.214286 0.071429 0.375 0.375 - 0.055556 0.277778 0.2 0.1 - 102 mat

Size filling the square/rectangle

Unform ...  -1 < rnd < 1 n size rnd μ n 11 line : 2 size * μ Random * size - 21 line :

n size Size X n size rnd : Y n size rnd : 21 line X Y augment 21 line :

Filling any size square

1000 1.23456789 Size 0 2 1 sys

n size λ Rectangle X n size rnd : Y λ n size rnd (* : 21 line X Y augment 21 line :

Filling any size rectangle. Apply 'λ' on repective direction.

1000 1 0.5 Rectangle 0 2 1 sys

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m Random

m n Random

Bestandteil des Plugins

Part of plugin

Statistical Tools

Gleichverteilte Zufallszahlen zwischen 0 und 1. Je nach Zahl und Wert der Argumente werden Einzelwerte, Vektoren oder Matrizen erzeugt.

Uniformly distributed random numbers between 0 and 1. Depending on number and value of the arguments, scalar values, vectors or matrices are generated.

0 Random 0.0538

5 Random 0.6779 0.2125 0.0416 0.4443 0.0267 51 mat

53 Random 0.2091 0.4789 0.8845 0.1852 0.2069 0.9188 0.4928 0.9173 0.048 0.9011 0.5921 0.5562 0.5805 0.1673 0.8682 53 mat

Statistical Tools

Funktionsindex

Function index

Inhalt

Contents

$Author: mkraska $ $Date: 2014-08-26 19:37:58 +0200 (Di, 26. Aug 2014) $

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Rnd 10002 Random :

Quadrant square is unique for Random(n,2) ... 'n' density.

0.5 Rnd *

Any size matrix of random

Round OFF a matrix

Unform ...  -1 < rnd < 1 n rnd μ n 11 line : 2 μ Random * 1 - 21 line :

M n Mround i 1 M rows range j 1 M cols range m i j el M i j el n round : for for m 21 line :

n col M i 1 n range j 1 col range M i j el n rnd : for for v M 1 el : j 2 M cols range v v M j el augment : for v 41 line :

The matrix 'M' in program is "monster big" ... 'n' rows nest of 'n' random ... each row nest has the nested 'col' In 'v', we can take any element of "monster big" , all elements are random. Further, you can collect any col M(n,col). You can truncate at will. This proposal is different than "scrambling" a given matrix from source [don't confuse]. Here, we just "create" a randomised a matrix. To randomise again & again: <- backspace 'col' re-type 'col' ... etc.

MyMatrix 53 M :

MyMatrix 0.95619 0.781616 0.688784 - 0.777342 - 0.492081 0.030739 0.564627 0.37261 0.464928 - 0.046782 0.3258 0.194345 0.737647 0.763301 - 0.900755 - 53 mat

MyMatrix 3 Mround 0.956 0.782 0.689 - 0.777 - 0.492 0.031 0.565 0.373 0.465 - 0.047 0.326 0.194 0.738 0.763 - 0.901 - 53 mat