6dc6153a-3345-46bd-bc70-dd7b84f55f0a 19 9 12 decimal

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

Analyse matrix via truth table

Truth(M,a,b) ... before vectorize operator
i.e: previous stable 6179 M a b Truth count 0 : i 1 M rows range j 1 M cols range M i j el a ≥ (M i j el b ≤ (* Z i j el M i j el : 11 line count count 1 + : if for for Z 31 line :

W 1.22 7.36 7.96 7.94 1.26 2.36 4.74 3.07 5.83 4.11 3.78 8.14 3.64 9.93 8.95 9.73 5.13 3.71 5.78 3.16 54 mat :

x c 2 x ≤ (x 4 ≤ (* :

W 24 Truth 00000 2.36 0 3.07 00 3.78 0 3.64 0000 3.71 0 3.16 54 mat

W c W * vectorize 00000 2.36 0 3.07 00 3.78 0 3.64 0000 3.71 0 3.16 54 mat

A robust construct of the Scale function M Low High Scale min M Min : max M Max : maxmin max min - (1012 -^+ : HighLow High Low - (: i 1 M rows range j 1 M cols range N i j el M i j el min - maxmin / : for for HighLow N * Low + 61 line :

Scaled W 1 - 1 Scale :

Scaled 1 - 0.4099 0.5476 0.5431 0.9908 - 0.7382 - 0.1917 - 0.5752 - 0.0586 0.3364 - 0.4122 - 0.589 0.4443 - 1 0.775 0.9541 0.1022 - 0.4282 - 0.0471 0.5545 - 54 mat

Round OFF a matrix

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 :

Explode mirror Matrix M mirror ct 1 : j M cols ct range mir 1 ct el M j col : ct ct 1 + : 21 line for mir Unest N v mir 1 el : j 2 mir cols range v v mir j el augment : for v 71 line :

Scaled 2 Mround 1 - 0.41 0.55 0.54 0.99 - 0.74 - 0.19 - 0.58 - 0.06 0.34 - 0.41 - 0.59 0.44 - 1 0.77 0.95 0.1 - 0.43 - 0.05 0.55 - 54 mat

The Delta Matrix

n s Δ i 1 n range j 1 n range Δ i j el i j + s 1 + ≤ : for for Δ 21 line :

1012 Δ mirror 11111111111111111111111111111101111111110011111111000111111100001111110000011111000000111100000001111010 mat

Ω 3232 Δ 0255 Scale :

iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAIAAAD8GO2jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVEhLtc3bEoIwDEDB/v9HO1ZdHBQKvST7xDTJoTyS5f6gVD4TvOp5P1CvPISS/vAWR/fLcxDRPZMIin8Ml8kdma/ROmVlgVCLrVkqFyxOkbhmd5z7W9YHOe7hYoTLTo66Oevnro+bIU47OBjl+o7tCQKXrM7RaLM3TabB0gqlMzYWiR0Yr9P7ZRZCcscgiurGayDhN0+xtJPqVW69yq2X8gTUoiP7iO8kbwAAAABJRU5ErkJggg== Ω

Ω Ω Clear :

The infinite vector circulation

Range 'n' ∞ - n ≤ (n ∞ ≤ (&

User scale xs 1 : ys 1 : 12 mat

v 012345678910111 mat transpose :

n v rotate N v length : p n N mod : p p p 0 ≥ p N + p 0 < NOT accounted cases : Ω v : p 0 ≡ i 1 p range Ω i N + p - el v i el : for i p 1 + (N range Ω i p - el v i el : for 21 line cases Ω 51 line :

n 17 - :

<= Pilot the rotation

v transpose n v rotate transpose 21 mat 012345678910111 mat 567891001234111 mat 21 mat

Vrot n v rotate :

XY xs v * ys Vrot * augment :

rot xs v * ys Vrot * . 10 black plotG :

C 55 + 200 black 15 mat :

Reversible rotation of vector. You can shrink/expand either direction via [xs, ys]. Illustrative plot wrt 'n'.

x n v rotate x 1 + el rot C 4 1 sys

Typical Matrix Scheduler M v transpose 19 - v rotate transpose 0 v rotate transpose 1 v rotate transpose 7 v rotate transpose 51 mat transpose : 012345678910111 mat 345678910012111 mat 012345678910111 mat 123456789100111 mat 789100123456111 mat 15 mat

The "rotated" XY 051627384951060718293104112 mat

data UnestH v data 1 el : j 2 data cols range v v data j el augment : for v 31 line :

U M UnestH : Schedule day Pet Jos Art Leslie 15 mat : Assign Schedule U stack : 31 line

A possible application:

Assume you are looking at aspecific star, you need several

parameters [Azimut, Horizon, Focus ...]. If the vector 'v' is

wrt parameters, easy to address and automate the system.

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Assign day Pet Jos Art Leslie 030171412825239363410474505856169672710783808949191051021006125 mat

'R' is subscripted to explode  100*Random(1) v transpose R 1001 Random 1 el * Floor : R v rotate transpose 31 mat 012345678910111 mat 4456789100123111 mat 31 mat

U U 0255 Scale :

Implicit 'zoom fractional' Up/Down M a b zoom a b ≡ (a b | (1 ≠ (& (=> ≡ => implicit conditions ≡ i 1 M rows a * (range j 1 M cols b * (range N i j el M i a / Ceil j b / Ceil el : a 1 ≥ N i j el M i a / Floor j b / Floor el : cases for for N 41 line :

image U 1010 zoom :

U 0 76.5 0 25.5 178.5 25.5 102 25.5 5120451 127.5 51 76.5 229.5 76.5 153 76.5 102255102 178.5 102 127.5 0 127.5 204 127.5 153 25.5 153 229.5 153 178.5 51 178.5 255 178.5 204 76.5 2040204 229.5 102 229.5 25.5 229.5 255 127.5 255512550153115 mat

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 image