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Fresnel - Beyond Borders

Fresnel 積分の計算 ∫ ∞ −∞ cos(x2)dx =sin(x2)dx =π 2 あるいは ∫ ∞ −∞ exp[ix2]dx =πi = π 2 (1+i) 証明 複素積分をつかう. I = C exp[iz2]dzを考える. 積分路C を中心O が原点で中心角がπ/4 の扇形にとる.

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  Border, Beyond, Fresnel, Fresnel beyond borders

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