- #1
mansi
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this seems to be a very fundamental problem...but i need help...
prove or disprove : let D be a euclidean domain with size function d, then for a,b in D, b != 0, there exist unique q,r in D such that a= qb+r where r=0 or d(r) < d(b).
first of all, what is size function? next...do we only need to show the existence of unique q and r?
prove or disprove : let D be a euclidean domain with size function d, then for a,b in D, b != 0, there exist unique q,r in D such that a= qb+r where r=0 or d(r) < d(b).
first of all, what is size function? next...do we only need to show the existence of unique q and r?