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Extended real number line

In mathematics, the extended real number system is obtained from the real number system R {\displaystyle \mathbb {R} } by adding two elements denoted + ∞ {\displaystyle +\infty } and − ∞ {\displaystyle -\infty } that are respectively greater and lower than every real number. This allows for treating the potential infinities of infinitely increasing…

Order and topological properties, Arithmetic operations & Motivation

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Overview

Motivation

Order and topological properties

Arithmetic operations

Algebraic properties

Miscellaneous

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Extended real number line

Nodes65
Edges64
Triples0
Avg. degree1.97
Density0.030769
Components1

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Important terminology

displaystyle infty extended real mathbb number function limits defined overline line system infinity value limit left often actual undefined either

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SubjectPredicateObjectConfidenceSrc

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