Dec 26, 2012 · The Archimedean property states that if $x$ and $y$ are positive numbers, there is some integer $n$ so that $y < nx$. This is a property of the real number field.

Nov 1, 2023 · When building the foundations of a subject you have to start somewhere. Quite often there are alternative places to start which turn out to be equivalent once they are understood. It is more …

I want to know what the "big deal" about the Archimedean property is. Abbott states it is an important fact about how $\\Bbb Q$ fits inside $\\Bbb R.$ First, I want to know if the following statemen...

Proof of archimedean property Ask Question Asked 11 years, 6 months ago Modified 11 months ago

This is kind of a general question concerning the Archimedean property in the context of real analysis. I understand that for every real number, there exists a natural number that is greater than or

Jul 31, 2022 · I was wondering, if you have a simple Archimedean spiral, defined as : $ r=b\times \theta $ , with the angle $ \theta $ going from $ 0 $ to $ \Theta$ If you consider the spiral as a succession …

I should probably just go with the "Archimedean Cauchy-complete ordered field" definition for the time being and study others further ahead. One last thing: does Dedekind-completeness imply …

Jan 20, 2022 · Different definitions of the archimedean property Ask Question Asked 3 years, 10 months ago Modified 3 years, 10 months ago

Jan 31, 2018 · I know that the Archimedean spiral can be represented using the polar coordinate system very easily. But I was wondering if it can be represented using the Cartesian coordinate system, and …

Apr 1, 2023 · This has nothing to do with prime ideals. Think of it as reasoning by analogy if you want. Or think of prime ideals in terms of extending non-archimedean absolute values if you want finite …