For all your dictionary needs!
Tip. You can look up words, expressions, names, titles...
Header of Algebraic Number

Algebraic number

Definition of the noun algebraic number

What does algebraic number mean as a name of something?

noun

  1. root of an algebraic equation with rational coefficients
    • lexical domain: Quantities - nouns denoting quantities and units of measure
    • more generic terms: irrational / irrational number = a real number that cannot be expressed as a rational number

Explanation

Algebraic number: In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with rational coefficients. Numbers such as π that are not algebraic are said to be transcendental. Almost all real and complex numbers are transcendental.

  • also known as 代數數

Printed dictionaries and other books with definitions for Algebraic number

Click on a title to look inside that book (if available):

Google previewHistorical Encyclopedia of Natural and Mathematical Sciences (2009)

by Ari Ben-Menahem

The failure of 18th and 19th century mathematics to resolve Format's Last " Theorem" led to the development of the new arithmetic of algebraic numbers. An algebraic number is a complex number that is a root of an algebraic equation p(x) = 0, ...

Google previewThe Penguin Dictionary of Mathematics (2008)

Fourth edition by David Nelson

algebraic number A number, real or complex, that is the *root of a *polynomial equation with ...

Google previewEncyclopaedia of Mathematics (2013)

A-Integral — Coordinates by M. Hazewinkel

A complex number is called an algebraic number over a field PCC if it is a root of a polynomial (1) with coefficients from P. The minimal polynomial, the degree over P and the conjugate numbers over P for algebraic numbers over P are defined ...

Google previewThe Concise Oxford Dictionary of Mathematics (2009)

by Christopher Clapham, James Nicholson, James R. Nicholson

algebraic number A real number that is the root of a *polynomial equation ...

Google previewThe VNR Concise Encyclopedia of Mathematics (2012)

by S. Gottwald

Let } be an algebraic number. The smallest field k = Q(3) that contains Q and also 8 is called an algebraic number field. For example, Q(V3) consists of all numbers of the form a + b V3, where a and b are rational numbers. It is easy to check ...

Google previewAcademic Press Dictionary of Science and Technology (1992)

by Christopher G. Morris, Academic Press

algebraic number Mathematics, a root of a polynomial with rational coefficients. algebraic number field Mathematics, any extension ...

Google previewVan Nostrand’s Scientific Encyclopedia (2013)

by Douglas M. Considine, Glenn D. Considine

An algebraic number field R(6) of degree n is generated by the root 6 of an algebraic equation aox" + aix" +...

Google previewThe Mathematics Dictionary (1992)

by R.C. James, Glenn James

algebraic number. (1) Any ordinary positive or negative number; any real directed number. (2) Any number which is a root of a polynomial equation with rational coefficients; the degree of the polynomial is said to be the ...

Google previewMCGRAW-HILL DICTIONARY OF MATHEMATICS, 2/E (2002)

by McGraw-Hill Education

algebraic number Any root of a polynomial with rational coefficients. { :al-je:bra-ik 'nom-bor } algebraic number field A finite extension field of the field of rational numbers. { :aljoibra-ik 'nom-bor ,feld } algebraic number theory The study of ...

Google previewEncyclopedia of Cryptography and Security (2014)

by Henk C.A. van Tilborg, Sushil Jajodia

Algebraic Number Field. A.

Google previewThe Encyclopaedia Britannica (1902)

A Dictionary of Arts, Sciences, and General Literature

6"-" are said to form a set of conjugate algebraic numbers of the nth order. If a = 1, the roots are said to form a set of conjugate algebraic integers. Every algebraic number can be expressed in the form osa, where a0 is ...

Google previewThe New Volumes of the Encyclopaedia Britannica (1902)

Constituting in Combination with the Existing Volumes of the Ninth Edition, the Tenth Edition of that Work, and Also Supplying a New, Distinctive, and Independent Library of Reference Dealing with Recent Events and Developments

Every algebraic number can be expressed in the form osa, where a0 is a natural number and to an algebraic integer; in all that follows it will be supposed that a = 1, and consequently () is integral. Associated with 6 we have a corpus Q = R(0) ...

Online dictionaries and encyclopedias with entries for Algebraic number

Click on a label to prioritize search results according to that topic:

Video about Algebraic number

Algebraic number Meaning

Video shows what algebraic number means. A complex number that is a root of a polynomial equation with rational coefficients.. Algebraic number Meaning.

View more videos about Algebraic number theory.

Share this page

Next...

Go to the thesaurus of Algebraic number to find many related words and phrases!


Privacy Policy | Cookies Policy
Keyword Tool | Romanian-English Dictionary