Ib tag nrho cov seem seem modulo m yog ib pawg ntawm cov lej xws li tias txhua tus lej yog congruent modulo m rau raws nraim ib tus lej ntawm pawg. Qhov yooj yim ua tiav qhov seem seem modulo m yog cov lej 0, 1, 2, …, m−1. Txhua integer yog congruent rau ib qho ntawm cov integers modulo m.
Yuav ua li cas hauv qab no yog ua tiav qhov seem seem modulo 11?
1. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} yog qhov ua tiav qhov seem seem modulo 11. Txij li 1 ≡ 12 (mod 11), 3 ≡ 14 (mod 11), …, 9 ≡ 20 (mod 11), tag nrho cov seem seem uas muaj tag nrho cov lej yog {0, 12, 2, 14, 4, 16, 6, 18, 8, 20, 10 }.
Kev txo qis yog dab tsi?
Ib kab lus uas cov lus (qhia) ntawm cov lus raug hloov pauv raws li cov txheej txheem rov sau dua tshiab yog hu ua qhov txo qis. Thaum txo cov tshuab tseem hu ua txoj hlua rewriting systems los yog lub sij hawm rewriting systems, lub sij hawm "txo system" yog ntau dua.
Dab tsi yog qhov seem ntawm cov seem?
(modulo n) Ib pawg ntawm n tus lej, ib qho los ntawm txhua chav kawm n seem modulo n. Yog li {0, 1, 2, 3} yog tag nrho cov residues modulo 4; yog li ntawd kuj yog {1, 2, 3, 4} thiab {−1, 0, 1, 2}. Los ntawm: ua kom tiav cov khoom seem hauv Cov Lus Cog Tseg Oxford phau ntawv txhais lus ntawm Mathematics »
Dab tsi yog qhov seem hauv tus lej theory?
Residues yog ntxiv los ntawm kev noj cov lej lej ib txwm, tom qab ntawd rho tawm cov modulus ntawm cov lej ntaulub sij hawm raws li qhov tsim nyog los txo cov lej rau tus lej M ntawm 0 thiab N - 1 suav nrog. M hu ua cov lej…