Number Theory Tool

HyperMedia Interactive

Mayelana nalolu hlelo lokusebenza

Incazelo egcwele

Uhlelo lokusebenza luwuhlelo lokusebenza lweselula oluhlinzeka ngolwazi namathuluzi ahlobene nemiqondo ehlukahlukene yezibalo ne-cryptographic. Inikeza isixhumi esibonakalayo esisebenziseka kalula esinohlu lokubuka olubonisa uhlu lwezihloko nemisebenzi.

Uhlelo lokusebenza luhlanganisa izici ezilandelayo nemiqondo:

1. I-Division Algorithm: Ihlinzeka ngolwazi namathuluzi ahlobene ne-algorithm yokuhlukanisa kuzibalo.

2. Isihlukanisi Esivamile Esikhulu Kunazo Zonke: Inikeza ulwazi namathuluzi okubala isihlukanisi esivamile esikhulu sezinombolo ezimbili.

3. I-Euclidean Algorithm: Ihlinzeka ngolwazi namathuluzi okwenza i-algorithm ye-Euclidean, ebala isihlukanisi esivamile esikhulu kunazo zonke sezinombolo ezimbili.

4. Ubunikazi buka-Bezout: Inikeza ulwazi mayelana nobunikazi be-Bezout, obuhlobene nesihlukanisi esivamile kakhulu sezinombolo ezimbili kanye nenhlanganisela yazo yomugqa.

5. Isisefo se-Eratosthenes: Ihlinzeka ngolwazi namathuluzi okusebenzisa Isisefo se-Eratosthenes, indlela yokuthola zonke izinombolo eziyinhloko kuze kufike emkhawulweni othile.

6. I-Linear Congruence: Inikeza ulwazi namathuluzi ahlobene nokuxazulula izibalo ze-congruence zomugqa.

7. I-Chinese Remainder Theorem: Ihlinzeka ngolwazi namathuluzi okusebenzisa i-Chinese Remainder Theorem, indlela yokuxazulula amasistimu wokuvumelana.

8. Inombolo ye-Carmichael: Inikeza ulwazi mayelana nezinombolo ze-Carmichael, okuyizinombolo eziyinhlanganisela ezenelisa indawo ethile yokuhlangana.

9. Umsebenzi we-Tau τ(n): Ihlinzeka ngolwazi namathuluzi okusebenza ngomsebenzi we-Tau, owaziwa nangokuthi umsebenzi wokuhlukanisa, obala inani lezihlukanisi zenombolo ephozithivu.

10. Umsebenzi we-Sigma σ(n): Inikeza ulwazi namathuluzi ahlobene nomsebenzi we-Sigma, obala isamba sabahlukanisi benombolo ephozithivu.

11. Phi Umsebenzi φ(n): Ihlinzeka ngolwazi namathuluzi okusebenza ngomsebenzi we-Phi, owaziwa nangokuthi umsebenzi we-totient ka-Euler, obala inani lama-phozitive integers coprime nenombolo enikeziwe.

12. I-Prime Factorization: Inikeza ulwazi namathuluzi okuthola izici eziyinhloko zenombolo ethile.

13. I-Caesar Cipher Decryption: Ihlinzeka ngamathuluzi okususa ukubethela kombhalo obethelwe kusetshenziswa i-Caesar Cipher, i-cipher elula yokufaka esikhundleni.

14. Caesar Cipher Encryption: Inikeza amathuluzi okubethela umbhalo ongenalutho usebenzisa i-Caesar Cipher.

15. Izincazelo: Ihlinzeka ngohlu lwamagama noma iqoqo lezincazelo zamagama ahlukahlukene ezibalo kanye ne-cryptographic.

Sekukonke, lolu hlelo lokusebenza lusebenza njengereferensi ewusizo kanye nesethi yamathuluzi yokuhlola nokuqonda imiqondo yethiyori yezinombolo ehlukene, amasu e-cryptographic, nemisebenzi yezibalo. Abasebenzisi bangakhetha isihloko esithile ohlwini, futhi uhlelo lokusebenza luzobazulazula baye emsebenzini ohambisanayo noma ikhasi lolwazi.