Completeness properties of R × R and real valued functions of two variables under lexicographic order

Cahya M.A. Endang

doi:10.1063/1.4941164

← Back to search

Completeness properties of R × R and real valued functions of two variables under lexicographic order

Open

Cahya M.A. Endang

2016 AIP Conference Proceedings Vol. 1708 Conference paper Cited by 1 SDG 16

Abstract

The order in R × R which is commonly used is a partial order. In this article is discussed a different concept of order which gives a total order/lexicographic order for R × R. With respect to this order, we define a new concept of inequalities, Archimedean property and completeness in R × R. We also define a concept of monotonicity of real function of several variables and a number of its basic properties. The results will give fundamental aspects to define different concepts of multivariable calculus. © 2016 AIP Publishing LLC.

Affiliations

Department of Mathematics Education, Universitas Pendidikan Indonesia, Indonesia

View full text (DOI) →

Research at a Glance

Research at a Glance

Topics & SDG Alignment

Collaboration

Author Profile (Selected)

References Overview

Journal & Source

Metadata & Integrity