なぜeやπは様々な性質を持つのか？

なぜeやπは様々な性質を持つのか？at MATH

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152:１３２人目の素数さん
 21/03/10 20:53:15.23 CedLahew.net
[eとπの微妙な関係 - η関数系補完リスト] 
(e^(2π)-24)^(1/9) = 2 - 2.2073*10^(-4) 
e^(2π/9) (1/(1+e^(-2π)) - e^(-4π))^(8/3) = 2 - 7.8882*10^(-22) 
(e^(3π)+24)^(1/6) (2-√3)^(2/3) = 2 - 5.9834*10^(-7) 
(2-√3)^(1/6) 2^(3/4) e^(π/8) (1/(1-e^(-3π)) - e^(-6π)) = 2 - 3.5974*10^(-33) 
(e^(4π)-24)^(2/3) (√2-1)^4 = 2^7 - 2.8644*10^(-7) 
(√2-1)^(1/4) 2^(9/16) e^(π/6) (1/(1+e^(-4π)) - e^(-8π)) = 2 - 4.3750*10^(-44) 
(e^(5π)+24)^(1/6) (√5-1)^4 = 2^5 - 3.3430*10^(-11) 
(√5-1) 2^(3/4) e^(5π/24) (1/(1-e^(-5π)) - e^(-10π)) = 4 - 1.0641*10^(-54) 
(e^(6π)-24)^(1/8) (108^(1/4)-√3-1) 2^(5/8) = 8 - 1.1705*10^(-14) 
(e^(7π)+24)^(1/6) (1+√7-28^(1/4))^4 = 2^7 - 4.6633*10^(-16) 
(1+√7-28^(1/4)) 2^(1/4) e^(7π/24) (1/(1-e^(-7π)) - e^(-14π)) = 4 - 1.5739*10^(-76) 
(e^(10π)-24)^(1/3) (5^(1/4)-1)^8 = 2^7 - 6.0739*10^(-24) 
(5^(1/4)-1) 2^(1/8) e^(5π/12) (1/(1+e^(-10π)) - e^(-20π)) = 2 - 1.4155*10^(-109) 
(e^(15π)+24)^(1/8) ((38-22√3-17√5+10√15)√2 - 15^(1/4)√3(16-9√3-7√5+4√15)) 2^(1/4) = 4 - 1.6165*10^(-39) 
(e^(20π)-24) √2 (1+5^(1/4))^12 (2+√5)^6 ((2+√5)√2-3-2*5^(1/4))^6 = 2^17 - 9.6242*10^(-48) 
√(1+5^(1/4)) ((2+√5)((2+√5)√2-3-2*5^(1/4)))^(1/4) 2^(5/16) e^(5π/6) (1/(1+e^(-20π)) - e^(-40π)) = 2 - 1.0018*10^(-218)

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