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Numbers for Counting
Number Systems Without Numbers
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abelian group addition and multiplication algebra answer arrow assign belongs binary operation called cardinal number Chapter commutative law complex number system components construct defined definition digits distributive law distributive with respect divide empty set equal equation x2 example fact field finger finite number five laws fraction ideal identity element infinite decimal intersection isomorphic linear mappings mathematics matrix multiplication means multiplication table natural number system negative neighborhood nest of intervals notation obey the five one-to-one correspondence open set ordered pairs pair of numbers partial sums plane point of adherence polynomials positive integers positive number properties quotient rational number system real number system reciprocal remainder residue classes modulo respect to addition reverse mapping scalar multiplication sequence set consisting subset symbol system of integers tion topological space topological structure unity element vector space write zero divisors zero element