Word Pronunciation & Dictionary

gelfond-schneider theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.31 in modern English

Syllables
gel-fond-schnei-der the-o-rem
IPA
39
Scrabble Score
23
Letters
6
Syllables
14
Unique Chars

Meaning

name

A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number.

Etymology

Inflected Forms

the Gelfond-Schneider theorem (canonical)

Questions

What does gelfond-schneider theorem mean?
A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number.
Where does gelfond-schneider theorem come from?
It was originally proved independently in 1934 by Aleksandr Gelfond and Theodor Schneider.

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