About: Transcendental number   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

Transcendental numbers are complex numbers that cannot be written as the zeros of a non-trivial, non-zero polynomial with rational coefficients and integer exponents. That is, a transcendental number is a number that is not algebraic. The set of all transcendental numbers is a subset of the set of all complex numbers. Transcendental numbers and algebraic numbers are mutually exclusive subsets of the complex numbers, themselves encompassing all complex numbers. A few of the most well known transcendental numbers are represented as constants

AttributesValues
rdfs:label
  • Transcendental number
rdfs:comment
  • Transcendental numbers are complex numbers that cannot be written as the zeros of a non-trivial, non-zero polynomial with rational coefficients and integer exponents. That is, a transcendental number is a number that is not algebraic. The set of all transcendental numbers is a subset of the set of all complex numbers. Transcendental numbers and algebraic numbers are mutually exclusive subsets of the complex numbers, themselves encompassing all complex numbers. A few of the most well known transcendental numbers are represented as constants
sameAs
dcterms:subject
dbkwik:math/proper...iPageUsesTemplate
abstract
  • Transcendental numbers are complex numbers that cannot be written as the zeros of a non-trivial, non-zero polynomial with rational coefficients and integer exponents. That is, a transcendental number is a number that is not algebraic. The set of all transcendental numbers is a subset of the set of all complex numbers. Transcendental numbers and algebraic numbers are mutually exclusive subsets of the complex numbers, themselves encompassing all complex numbers. A few of the most well known transcendental numbers are represented as constants * The mathematical constant pi (π) * The mathematical constant known as Euler's number: e Real transcendental numbers are also irrational numbers, but not all irrational numbers are transcendental, as many are algebraic. All rational numbers are algebraic, but not all algebraic numbers are rational. These numbers are usually arrived at, mathematically, through calculus, transcendental functions, limit analysis, infinite summations, and concept definitions.
Alternative Linked Data Views: ODE     Raw Data in: CXML | CSV | RDF ( N-Triples N3/Turtle JSON XML ) | OData ( Atom JSON ) | Microdata ( JSON HTML) | JSON-LD    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software