Meanings
- mathematicsA 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.
Synonyms: Weierstrass-Lindemann theorem
Synonyms & antonyms
proper nounA 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.
Origin
Named after Ferdinand von Lindemann and Karl Weierstrass, who worked on related proofs.
Full word history & related roots →Cite this entry
Lindemann-Weierstrass theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Lindemann-Weierstrass%20theorem
“Lindemann-Weierstrass theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lindemann-Weierstrass%20theorem. Accessed November 5, 2026.
WatkinsX Dictionary, s.v. “Lindemann-Weierstrass theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Lindemann-Weierstrass%20theorem.
Source: Lindemann-Weierstrass theorem on Wiktionary, CC BY-SA 4.0.