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Word Pronunciation & Dictionary

lindemann-weierstrass theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.61 in modern English

Syllables
lin-de-man-n-weier-strass the-o-rem
IPA
38
Scrabble Score
27
Letters
8
Syllables
13
Unique Chars

Meaning

name

A result that is useful in establishing the transcendence of numbers, stating that, if α₁, ..., αₙ are algebraic numbers which are linearly independent over the rational numbers ℚ, then e^(α₁), ..., e^(αₙ) are algebraically independent over ℚ.

Etymology

Named after Ferdinand von Lindemann and Karl Weierstrass, who worked on related proofs.

Synonyms

Weierstrass-Lindemann theorem

Questions

What does lindemann-weierstrass theorem mean?
A result that is useful in establishing the transcendence of numbers, stating that, if α₁, ..., αₙ are algebraic numbers which are linearly independent over the rational numbers ℚ, then e^(α₁), ..., e^(αₙ) are algebraically independent over ℚ.
Where does lindemann-weierstrass theorem come from?
Named after Ferdinand von Lindemann and Karl Weierstrass, who worked on related proofs.

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