Display title | Lindemann–Weierstrass theorem |
Default sort key | Lindemann-Weierstrass theorem |
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Page ID | 184393 |
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Date of page creation | 00:35, 7 February 2024 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states the following:
In other words, the extension field $ \mathbb {Q} (e^{\alpha _{1}},\dots ,e^{\alpha _{n}}) $ has transcendence degree n over $ \mathbb... |