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Argüman








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Argüman


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Arguman, karmaşık analizde bir fonksiyon. Z-düzleminde pozitif reel eksenle karmaşık sayının bulunduğu noktayı merkeze bağlayan doğru arasındaki açıdır. Cebirde, ″z″=″x″+″iy″{displaystyle ''z''=''x''+''iy''}{displaystyle ''z''=''x''+''iy''} şeklinde bir karmaşık sayının argümanı φ{displaystyle varphi }{displaystyle varphi } herhangi bir reel değerdir, r herhangi bir reel sayı ve



x+iy=rcos⁡φ+irsin⁡φ{displaystyle x+iy=rcos varphi +irsin varphi ,}{displaystyle x+iy=rcos varphi +irsin varphi ,} olmak üzere. Şekil 1'de bir örnek üzerinde argüman gösterilmiştir.



Şekil 1: φ değişkeni ve r mutlak değeri, karmaşık düzlemdeki bir noktanın konumudur. Noktanın kutupsal ifadesi şöyledir: r(cos⁡ϕ+isin⁡ϕ){displaystyle r(cos phi +isin phi )}{displaystyle r(cos phi +isin phi )} veya reiϕ{displaystyle re^{iphi }}{displaystyle re^{iphi }}.










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