<p> Utilities </p>

a0059979-7093-4493-8929-fc45ca7d4f9a 3 6 9 decimal

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

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

V 5 rnd :

V V Max V Min 21 mat 12 mat 0.989099 0.106242 - 0.045642 - 0.146028 0.153204 - 51 mat 0.989099 0.153204 - 21 mat 12 mat

<p> Utilities </p>

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 :

Generate the symmetric square [U,V] matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : for U 41 line :

a 816 π * sqrt * :

L 10 - : H 10 : N 50 : 13 mat

x y Φ 1 - 3 / x 2^y 2^+ sqrt * exp 2 y 2^* - x 2^+ a / * - :

U L H N xd :

V U :

M x y Φ U V Sym : M M 0255 Scale : v M 25 row transpose : 31 line

v x el 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 M