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单词 invariant set
释义
invariant set

Mathematics
  • Given a function f :SS, a subset A of S is invariant if f(A) ⊆ A. Note that this is a much weaker condition than requiring that f(a) = a for all a ∈‎ A. For example, if f reflects ℝ2 in the x-axis, then the x-axis is invariant in the latter sense—every point is fixed—but any line parallel to the y-axis is an invariant set.


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