Tag Archives: distance

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

What does “close to” mean?

Posted on September 22, 2011 by Brent

Continuing from last time, consider the (normal, decimal) number with an infinite number of 3’s after the decimal point. Now, you probably know that this represents . But why? How do we define what such an infinite sequence of digits … Continue reading →

Posted in convergence, number theory | Tagged , , , , | 3 Comments