English Explanatory Dictionary

Lindemann-Weierstrass theorem

English dictionary entry

Meanings

name
  1. 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.

Word forms

Lindemann-Weierstrass theorem

Etymology

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

Synonyms

Weierstrass-Lindemann theorem
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