■ランベルト関数とケプラー関数(その3)
ケプラーの方程式 exp(x)(x-1)=exp(-x)(x+1)
→x=1.1996678640257734・・・
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exp(x)(x-1)=exp(-x)(x+1)
(x-1)(1+x+x^2/2)=(x+1)(1-x+x^2/2)
(x+x^2+x^3/2)-(1+x+x^2/2)=(x-x^2+x^3/2)+(1-x+x^2/2)
2x^2=(2+x^2)
x^2=2
x=√2
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