Speakur

Word Pronunciation & Dictionary

gröbner basis

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
grob-n-er ba-sis
IPA
16
Scrabble Score
12
Letters
4
Syllables
9
Unique Chars

Meaning

name

A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite.

Etymology

Introduced in 1965 by Austrian mathematician Bruno Buchberger, who named them after his academic advisor Wolfgang Gröbner.

Inflected Forms

Gröbner bases (plural)

Questions

What does gröbner basis mean?
A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite.
Where does gröbner basis come from?
Introduced in 1965 by Austrian mathematician Bruno Buchberger, who named them after his academic advisor Wolfgang Gröbner.

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