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Calculus and Beyond Homework Help
Arrange N into a two-dimensional array
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[QUOTE="andrewkirk, post: 5548349, member: 265790"] I suggest you start by defining a bijective function from ##\mathbb N## to points in the number lattice you have drawn, where a point in the lattice is represented by a pair of integer coordinates that are the row and column number. Also, you can't define ##n_{1j}## to be the minimum of ##A_j## because to have a minimum, a set must be ordered, and the problem does not say the sets are ordered. Why not instead use the fact that we are told that each set ##A_j## is countable, which means that there exists at least one bijection ##f_j## between ##\mathbb N## and ##A_j##. [/QUOTE]
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Arrange N into a two-dimensional array
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