Tag Archives: decadic

Computing with decadic numbers

Posted on January 30, 2012 by Brent

[This is the ninth, and, I think, final in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More … Continue reading →

Posted in arithmetic, programming | Tagged , , | 2 Comments

u-tube

Posted on January 10, 2012 by Brent

[This is the eighth in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More fun with infinite decadic … Continue reading →

Posted in computation, convergence, infinity, iteration, modular arithmetic, number theory, programming | Tagged , , , , | 2 Comments

A self-square number

Posted on January 4, 2012 by Brent

[This is the seventh in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does “close to” mean?, The decadic metric, Infinite decadic numbers, More fun with infinite decadic … Continue reading →

Posted in arithmetic, infinity, iteration, modular arithmetic, proof | Tagged , , , | 12 Comments

More fun with infinite decadic numbers

Posted on October 28, 2011 by Brent

This is the sixth in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does “close to” mean?, The decadic metric, Infinite decadic numbers). Last time I left you … Continue reading →

Posted in arithmetic, infinity, number theory | Tagged , , , , | 4 Comments

Infinite decadic numbers

Posted on October 19, 2011 by Brent

To recap: we’ve now defined the decadic metric on integers by where is not divisible by 10, and also . According to this metric, two numbers are close when their difference is decadically small. So, for example, and are at … Continue reading →

Posted in arithmetic, convergence, infinity, number theory | Tagged , , | 7 Comments

The decadic metric

Posted on September 28, 2011 by Brent

Continuing my series of posts exploring the decadic numbers… in my previous post, I explained that we will define a new “size function”, or metric, different from the usual “absolute value”, and written . Two numbers will be “close to” … Continue reading →

Posted in arithmetic, number theory, pattern | Tagged , , , , , , , | 5 Comments