【计算题】设A={2,3,5,12,19},等价关系R={]x,yEAAx=ymod+3..写出各元素的等价
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亲很高兴为您解答哦。等价类:[2]={2,5,8,11,14,17,20,....}[3]={3,6,9,12,15,18,21,....}[5]={5,8,11,14,17,20,....}AR={2,3,5}亲很高兴为您解答哦。等价类:[2] = {2,5,8,11,14,17,20...}[3] = {3,6,9,12,15,18,21...}[5] = {5,8,11,14,17,20...}[12] = {12,15,18,21...}[19] = {19,22,25,28...}AR={2,3,5,12,19}
咨询记录 · 回答于2023-03-09
【计算题】设A={2,3,5,12,19},等价关系R={]x,yEAAx=ymod+3..写出各元素的等价
【计算题】设A={2,3,5,12,19},等价关系R={]x,yEAAx=ymod3..写出各元素的等价类,并求AR
亲很高兴为您解答哦。A={2,3,5,12,19}R={(2,5), (3,12), (5,19), (12,2), (19,3)}即:2和5相等,3和12相等,5和19相等,12和2相等,19和3相等哦。
另外,由于等价关系R是满足反对称性、对称性和传递性的,所以可以推出R的其他等价元素:(2,12), (3,19), (5,2), (12,5), (19,12)。
亲很高兴为您解答哦。等价类:[2]={2,5,8,11,14,17,20,....}[3]={3,6,9,12,15,18,21,....}[5]={5,8,11,14,17,20,....}AR={2,3,5}亲很高兴为您解答哦。等价类:[2] = {2,5,8,11,14,17,20...}[3] = {3,6,9,12,15,18,21...}[5] = {5,8,11,14,17,20...}[12] = {12,15,18,21...}[19] = {19,22,25,28...}AR={2,3,5,12,19}
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