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unate
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There are 5 letters in UNATE ( A1E1N1T1U1 )
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Definitions of unate in various dictionaries:
UNATE - A unate function is a type of boolean function which has monotonic properties. They have been studied extensively in switching theory. A function ...
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Unate description |
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A unate function is a type of boolean function which has monotonic properties. * They have been studied extensively in switching theory. * A function * * * * f * ( * * x * * 1 * * * , * * x * * 2 * * * , * … * , * * x * * n * * * ) * * * {\displaystyle f(x_{1},x_{2},\ldots ,x_{n})} * is said to be positive unate in * * * * * x * * i * * * * * {\displaystyle x_{i}} * * if for all possible values of * * * * * x * * j * * * * * {\displaystyle x_{j}} * , * * * * j * ≠ * i * * * {\displaystyle j\neq i} * * * * * f * ( * * x * * 1 * * * , * * x * * 2 * * * , * … * , * * x * * i * − * 1 * * * , * 1 * , * * x * * i * + * 1 * * * , * … * , * * x * * n * * * ) * ≥ * f * ( * * x * * 1 * * * , * * x * * 2 * * * , * … * , * * x * * i * − * 1 * * * , * 0 * , * * x * * i * + * 1 * * * , * … * , * * x * * n * * * ) * . * * * * {\displaystyle f(x_{1},x_{2},\ldots ,x_{i-1},1,x_{i+1},\ldots ,x_{n})\geq f(x_{1},x_{2},\ldots ,x_{i-1},0,x_{i+1},\ldots ,x_{n}).\,} * Likewise, it is negative unate in * * * * * x * * i * * * * * {\displaystyle x_{i}} * if * * * * * f * ( * * x * * 1 * * * , * * x * * 2 * * * , * … * , * * x * * i * − * 1 * * * , * 0 * , * * x * * i * + * 1 * * * , * … * , * * x * * n * * * ) * ≥ * f * ( * * x * * 1 * * * , * * x * * 2 * ... |