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Dedekind Cuts

A collection of 2 posts
Construction of the system of real numbers by Cauchy sequences
Cauchy Sequences

Construction of the system of real numbers by Cauchy sequences

In a previous article, we explained the construction of real numbers using Dedekind Cuts; in this article we will explain the construction using Cauchy sequences. A sequence of rational numbers is a function from the set of positive integers into For a positive integer the image is generally denoted by
Jun 30, 2018 7 min read
Construction of Real Numbers Using Dedekind Cuts
Cauchy Sequences

Construction of Real Numbers Using Dedekind Cuts

We all know about rational numbers. Informally, these are ratios of integers, i.e., numbers of the form where and are integers (with of course). Any two rational numbers have a sum a product and there is an order relation such that or These operations and the relation obey certain
Jun 13, 2018 10 min read
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