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product_order

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product order

In mathematics, given two ordered sets A and B, one can induce an ordering on the Cartesian product A × B. Given

two pairs (a₁,b₁) and (a₂,b₂) in A × B, one sets

(a₁,b₁) ≤ (a₂,b₂)

if and only if a₁ ≤ a₂ and b₁ ≤ b₂. This ordering is called the product order. Another possible ordering on A × B is the lexicographical order.

See also

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "product_order". The list of authors you can find on this page.

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