ARIFMETIKANING ASOSIY TEOREMASI VA UNING QO‘LLANILISHI
Keywords:
Arifmetika, asosiy teorema, tub sonlar, sonlar nazariyasi, faktorizatsiya, kriptografiya, unikal ko‘paytma.Abstract
Mazkur maqolada arifmetikaning asosiy teoremasi, ya’ni har qanday natural sonni yagona usulda tub sonlar ko‘paytmasi ko‘rinishida ifodalash mumkinligi isbotlanadi va bu teoremaning nazariy hamda amaliy ahamiyati yoritiladi. Teoremaning asosiy xususiyatlari, uning isboti, tarixiy rivojlanishi va zamonaviy matematikadagi qo‘llanilishlari tahlil qilinadi. Xususan, sonlar nazariyasidagi rollari, kriptografiya va algoritmik hisoblashdagi ahamiyati misollar bilan ko‘rsatiladi.
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