Eric Farin
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  • Home
  • The Conjecture
  • Total Stopping Time
  • Stopping Time
  • Expansion
  • Threads
  • Routes
  • Loops
  • Class Records
  • Descriptive Statistics
  • The Chase
  • Chase Status
  • References

The Collatz Problem
Experimental Data and Models

The purpose of this site is to present some results concerning the Collatz Conjecture and related functions defined to explore the properties of this fascinating problem.
It does not prove any results concerning these functions, but proposes models of their behavior and compares them to the experimental calculations made by the author and other people.

The Conjoncture

Presentation of the conjecture.
Notations and definition of terms used in this site.

Total Stopping Time

Properties and Model for Total Stopping Time.

Stopping Time

Properties and Model for Stopping Time.

Expansion

Properties and Model for Expansion.

Threads

Threads Properties and Arithmectics.

Trajectories

Trajectories Properties.

Loops

Loops properties and constraints.

Class Records

About Verified Class Records.

Descriptive Statitics

Models and data for several parameters distributions

The Chase

Algorithms used for chasing Records.

Chase Status

As to Date.

References

Links to other Sites.

Get in touch

Please send me any comments, questions or suggestions at: ericfarin@gmail.com