Expansion Info-Representation With Arbitrarily Adjustable Decimals

  • Context: Graduate 
  • Thread starter Thread starter davidelkins
  • Start date Start date
  • Tags Tags
    Expansion
Click For Summary
SUMMARY

The discussion centers on the concept of expansion info-representation, specifically focusing on the use of adjustable decimals in mathematical experiments. The author introduces a notation where underscores represent placeholders for digit selection, allowing for both fixed and variable decimal placements. The conversation also touches on the exploration of arithmetic involving decimal expansions, particularly in relation to the p-adic number system, which supports infinite non-zero digits extending in both directions from the decimal point.

PREREQUISITES
  • Understanding of decimal representation and number systems
  • Familiarity with the p-adic number system
  • Basic knowledge of mathematical notation and placeholders
  • Experience with experimental mathematics
NEXT STEPS
  • Research the properties and applications of the p-adic number system
  • Explore advanced decimal representation techniques in mathematics
  • Investigate the implications of infinitely extending digits in number theory
  • Learn about experimental approaches in mathematical research
USEFUL FOR

Mathematicians, researchers in number theory, and anyone interested in experimental mathematics and advanced decimal systems.

davidelkins
Messages
1
Reaction score
0
The following is what I call an expansion info-representation:

... _ _ _ _ _4.3 _ _ _ _ _ ...

A) Each of the underscores represent placeholders for digit selection. (Psst: a whim)
B) The decimal can be arbitrarily adjustable or fixed for the purpose of experiment.

I'm going to try devekoping a few experiments that use this IR. ω
 
Mathematics news on Phys.org
What is your purpose in posting this? Do you have a question?
 
Are you trying to investigate an arithmetic for decimal (or other base) expansions where non-zero digits may extend infinitely to the left of the decimal point as well as infinitely to the right?

If so, google for the p-adic number system.
 

Similar threads

How does one convert a decimal float to binary using the multiply by 2 method?
  • · Replies 4 ·
Replies
4
Views
2K
Number of bits required for floating point representation
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How Does the Balloon Analogy Explain the Expansion of the Universe?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Is the Collatz Conjecture's Behavior Predicted by Binary Representations?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Nonlinear susceptibility and group reps
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Avalanche photon detectors
  • · Replies 0 ·
Replies
0
Views
885
Admissions Could I please get critique on my SOP? (Experimental Biophysics)
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Why Are Preon Models in Particle Physics Often Overlooked?
  • · Replies 6 ·
Replies
6
Views
7K
Graduate Solving Difficult Math Problems: Proving Irrationality & More
  • · Replies 2 ·
Replies
2
Views
2K
Graduate I need input, I invented a number system
  • · Replies 24 ·
Replies
24
Views
6K