User:Azerty/Champions Zoology: Difference between revisions

Revision as of 14:28, 29 December 2025

This is a zoology of champions and what they compute.

Classification	Description	Examples	Scale
Chaotic	Have a chaotic behavior and repeating patterns that go back and forth.	`1RB1LB_1LA---` (bbch) BB(2,2) `1RB---_1LB0RC_1LC1LA` (bbch) BB(3,2) `1RB1LB_1LA0LC_---1LD_1RD0RA` (bbch) BB(4,2)	$O (n^{2})$
Multiplier	Create a number then multiply it.	`1RB2LB---_2LA2RB1LB` (bbch) BB(2,3) `1RB1LB_1LA1LC_1RC0LC` (bbch) BBt(3,2)	$O (n^{2})$
Piecewise Affine Function	Iterate a function built by gluing together straight-line formulas, each one used on a different part of the input.	`1PB1PA1TA_2TB2PB2PC_---2PA1TC` TT(3,3)	$O (n^{3})$
Counter	Count in base ≥ 2 until the number reaches a certain length.	`1RB------_0RC0RB1LC_1LB2RC0LB` (bbch) BBt(3,3,2) `1RB------_1RC------_0RD0RC1LD_1LC2RD0LC` (bbch) BBti(8)	$O (2^{n})$
Collatz-like	Iterate a function that return a larger number depending of the input modulo.	`1RB1RA_1RC1RE_1LD---_1LA1LD_---0RB` (bbch) BBwsms(5,2)	$O (2^{n})$

@@ Line 32: / Line 32: @@
 * {{TM|1RB------_0RC0RB1LC_1LB2RC0LB|halt}} BBt(3,3,2)
 * {{TM|1RB------_1RC------_0RD0RC1LD_1LC2RD0LC|halt}} BBti(8)
+|<math>O(2^n)</math>
+|-
+|[[Collatz-like]]
+|Iterate a function that return a larger number depending of the input modulo.
+|
+* {{TM|1RB1RA_1RC1RE_1LD---_1LA1LD_---0RB|halt}} BBwsms(5,2)
 |<math>O(2^n)</math>
 |}