monotone function

名词 n.
中文释义

英文释义

名词 n.
  1. A function f : X→R (where X is a subset of R, possibly a discrete set) that either never decreases or never increases as its independent variable increases; that is, either x ≤ y implies f(x) ≤ f(y) or x ≤ y implies f(y) ≤ f(x).
    — Where defined, the first derivative of a monotone function never changes sign, although it may be zero.
  2. A function f : X→Y (where X and Y are posets with partial order "≤") with either: (1) the property that x ≤ y implies f(x) ≤ f(y), or (2) the property that x ≤ y implies f(y) ≤ f(x).
  3. A Boolean function with the property that switching any one input variable from 0 to 1 results either in no change in output or a change from 0 to 1.

词形变化

monotone functions plural monotonic function alternative

词汇关系

上位词
function
下位词
isotone function order-preserving function anti-monotone function antitone function order-reversing function
相关词
monotone monotone operator monotone transformation monotonic absolutely monotonic strictly decreasing strictly increasing weakly decreasing weakly increasing
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