Distances on Numbers, Polynomials, and Matrices

Michel Marie Deza and Elena Deza
Additional contact information
Michel Marie Deza: École Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 12 in Encyclopedia of Distances, 2013, pp 209-221 from Springer

Abstract: Abstract Here we consider the most important metrics on the classical number systems: the semiring ℕ of natural numbers, the ring ℤ of integers, and the fields ℚ, ℝ, ℂ of rational, real, complex numbers, respectively. We consider also the algebra $\mathcal{Q}$ of quaternions.

Keywords: Matrix Norm; Frobenius Norm; Riemann Sphere; Natural Norm; Siegel Disk (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30958-8_12

Ordering information: This item can be ordered from
http://www.springer.com/9783642309588

DOI: 10.1007/978-3-642-30958-8_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().