Determine whether or not the function f:Z×Z →Z is onto,if f((m,n)) = m-n.explain
题目
Determine whether or not the function f:Z×Z →Z is onto,if f((m,n)) = m-n.explain
答案
f is exactly onto.
for every k∈Z,we can find (k,0)∈Z×Z ,such that
f(k,0)=k-0 = k
so,f is onto
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