DEQ
Evolving distributions
About U-quadratic distribution.
2025.Feb.22 22:32:51
nparab, delay N. of parabolas in animation, delay (0.01 s).
Δx Step (in the interval 0–1).
Show values Show graph coordinates.

Draws 'nparab' parabolas in [0, 1], for animation.

The parabolas are all probability density functions, so the area underneath is 1.

The parabola vertex height, or "rise", R, goes from R = 1.5 (maximum value compatible with the interval [0, 1]), giving an "inverted" parabola, to R = 0, which is the U-quadratic distribution. When R = 1, the parabola degenerates into a horizontal line, the uniform distribution, y = 1.

Draws the animated plots of the parabolas.

References: Plate: AnimatedEvolve

• (Wikipedia) PHP (from Personal Home Page)

• (Wikipedia) GIF

• icSoftComp2024, 6.th International Conference on Soft Computing and its Engineering Applications, Bangkok (Thailand), 10–12 Dec 2024.

• 1830-12-07: Cremona, Luigi (†1903-06-10, 72 yrs.).

 
 
Valid HTML 5! IST http://web.ist.utl.pt/~ist11038/compute/icSoftComp2024/evolve/P-evolve.php
Created: 2024-09-20 — Last modified: 2024-12-09