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Lindemann-Weierstrass theorem

Lindemann-Weierstrass theorem proper noun: 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.

Proper noun

Lindemann-Weierstrass theorem

  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.

Synonyms of Lindemann-Weierstrass theorem

Origin of Lindemann-Weierstrass theorem

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

Questions about Lindemann-Weierstrass theorem

What does Lindemann-Weierstrass theorem mean?
Lindemann-Weierstrass theorem means 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.
What part of speech is Lindemann-Weierstrass theorem?
Lindemann-Weierstrass theorem is a proper noun.

Words near Lindemann-Weierstrass theorem in the dictionary

  1. Lindelöf covering theorem
  2. Lindelöf space
  3. Lindelöf spaces
  4. Lindeman
  5. Lindemann
  6. Lindemann-Weierstrass theorem
  7. Lindemannian
  8. Lindemanns
  9. Lindemans
  10. Lindemeyer
  11. Lindemeyers

Source and license

Adapted from Wiktionary: Lindemann-Weierstrass theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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