e17ecf3b-aea6-417c-ae56-b7a06db22014 15 3 5 decimal

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

1. Elegant shapes

--------------- n ---------------

x models x n^0 x * + x / ln x n^1 x * + x / ln x n^2 x * + x / ln 1 x exp 1 - / 1 x - exp 1 - / 15 mat transpose :

x n^0 x * + x / ln x models 2 el x models 3 el x models 4 el x models 5 el 51 sys

plots only + branch
for 'n odd'  ... => x models 1 el

x models 1 el x models 2 el x models 3 el x models 4 el x models 5 el 51 sys

x n ^ 0 x * + x / ln x models 2 el x models 3 el x models 4 el x models 5 el 5 1 sys x models 1 el x models 2 el x models 3 el x models 4 el x models 5 el 5 1 sys

x y XY x y / - :

x n ^ 0 x * + x / ln x models 2 el x models 3 el x models 4 el x models 5 el XY 6 1 sys

2. Unclassified horrible maths

- ∞ ... + ∞
- ∞ ... + ∞ ... λ=1 blanks trace
magnifying factor xo 0.25 : λ 0.025 : m 1 : 31 sys

avoid divide by zero ε 1015 -^:

q n f 1 q xo - (q λ^xo - (/ (k^- k 1 n product :

This is 'unary pulse'
moving on 'xo' q n P 1 q xo - (q 1^xo - ε + (/ (k^- k 1 n product :

... then, we can recast the pulse pulse xo 0 xo 1 xo 032 mat :

x c 10 x ≤ (x 1 ≤ (& cases :

x n f x * x c * m x n f * x c * pulse 3 1 sys

0 n P xo n P 0.5 n P 31 mat 0141043 -^* 31 mat

here, the maths behind the scene are 
strictly approximations limited to 15 
decimals. Result should be '0' 
... same as Mathcad 51095 -^* - 111098 -^* 31 sys