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In computer science, a lookup table (LUT) is an array that replaces runtime computation of a mathematical function with a simpler array indexing operation, in a process termed as direct addressing.
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A subset F of a partially ordered set (P, ≤) is a filter or dual ideal if the following are satisfied: [3] Nontriviality The set F is non-empty. Downward directed For every x, y ∈ F, there is some z ∈ F such that z ≤ x and z ≤ y.