√2 をつくる
by
Taketo Sano
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㲋Λͭ͘Δ !UBLFUP p 2
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㲋ͱʁ p 2
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p 2 ΠσΞͱͯ͠ͷ㲋 p 2
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ํఔࣜͷղͱͯ͠ͷ㲋 p 2 x 2 2 = 0
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ίϯϐϡʔλʹ͓͚Δ㲋 p 2 let a = sqrt(2.0) // 1.414213562373095
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͜Μͳͷ㲋͡Όͳ͍ʜ a * a == 2.0 // false p 2
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ίϯϐϡʔλͬͯͦ͏͍͏ϞϯͰ͔͢Β
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͍͍͑
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㲋࡞ΕΔʂ p 2
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ಉ͜͡ͱΛO࣍ࣜͰΔ
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f(x) ⌘ g(x) (mod m(x)) , f ( x ) , g ( x ) m ( x ) Λ Ͱׂͬͨ͋·Γ͍͠
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f ( x ) = 2 x 3 + x 2 3 x + 2 g ( x ) = 5 x + 1 m ( x ) = x 2 + 1 ) f(x) ⌘ g(x) (mod m(x)) f ( x ) = (2 x + 1) · m ( x ) + g ( x )
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m ( x ) = x 2 2
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x 2 ⌘ 2 (mod m(x)) Λ๏ͱͨ͠ੈքͰ͜Ε͕㲋 m ( x ) p 2
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࡞ͬͯΈΑ͏ʂ
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త࡞ΕΔʂ
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