# threshold gate

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## Synonyms for threshold gate

### a logic element that performs a threshold operation

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These threshold gate T(| w | -[e.sub.w] +t - 1,|w|) (t = 1,..., [e.sub.w] + 1) could be used to determine whether a searched word w' satisfies ed(w,w')[less than or equal to] [e.sub.w].
For each node x (suppose the threshold gate of x is T([n.sub.x], [m.sub.x])) in [mathematical expression not reproducible], set the degree of [q.sub.x] to [n.sub.x] - 1.
Suppose x is associated with the threshold gate T([n.sub.x], [m.sub.x]).
Internal nodes in [mathematical expression not reproducible] are composed of threshold gates and the leaves are associated with attributes.
A unit Boolean function f (X) is called a threshold function if there exist weights w and a fixed threshold T, The reason for examining threshold gates as logic primitives stems from the fact that they are computationally more powerful than the standard AND/OR logic primitives.
Executing this threshold gate will correspond, therefore, to performing one application of modus ponens.
To simulate OR gates, which are used as shown above if multiple occurrences of the same relation occurs on the right-hand side, we also use a threshold gate but have 1 as the threshold instead of r, that is, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Having done this for each predecessor, we can, for each binding compute the value of the gate at the current node, whether it is a disjunction, conjunction, or more generally, an arbitrary linear threshold gate. Note that the complexity of this task that is contributed by the binding problem is [N.sup.d].
For this reason, we shall define them here to consist of one layer of linear threshold gates. The circuit units have one layer of inputs that are the inputs to these gates, and one layer of outputs that are the outputs of the gates themselves.
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