Last Updated
：2025/12/07
Gelfond-Schneider theorem
Proper noun
Japanese Meaning
数学の定理であり、a と b が代数的な数で、なおかつ a ≠ 0, 1であり、bが無理数であるとき、a の b乗は超越数であることを示す定理。
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(mathematics) A theorem that establishes the transcendence of a large class of numbers, stating that, if a and b are algebraic numbers with a ≠ 0, 1, and b irrational, then any value of aᵇ is a transcendental number.
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Gelfond-Schneider theorem
When studying complex exponentials, she referenced the Gelfond-Schneider theorem to explain why certain values of ab are transcendental.
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When studying complex exponentials, she referenced the Gelfond-Schneider theorem to explain why certain values of ab are transcendental.
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