Recent content by rattma

  1. rattma

    I Is This Set Theory Notation Correct for Describing Local Maxima?

    I am sorry. I am bit of a beginner... could you be more specific with the meaning of implicit condition? Thank you =)
  2. rattma

    I Is This Set Theory Notation Correct for Describing Local Maxima?

    Thanks. What I meant was that for k=3 and t=2, the condition in the set reads ##x_2>max(x_{-1},x_{0},x_{1},x_{3},x_{4},x_{5}) \wedge (x_{-1},x_{0},x_{1},x_2,x_{3},x_{4},x_{5}) \in \mathbb{T}^{7}## but since ##\mathbb{T} = \{1,2,3,...,T\}##, ##x_{-1},x_{0}## do not exist and therefore ##...
  3. rattma

    I Is This Set Theory Notation Correct for Describing Local Maxima?

    Thank you!. What is the difference between the first "|" and the ":" ? I thought they meant the same thing (such that). Other question: under your formulation, is it no longer a problem that (t-k) does not belong to T in some instances? For instance, take t=2 and k=3. In those border case, the...
  4. rattma

    I Is This Set Theory Notation Correct for Describing Local Maxima?

    Hi, Is the following notation correct? X = {xt> max(xt-k,...,xt-1,xt+1,...,xt+k)|(t-k,...,t+k) ∈ T2k+1∧ k ∈ ℕ\{0}} where T = [1,n]∩ℕ denotes the time periods over which x runs. I basically want to say that X is the set of points that are local maxima in a neighbourhood of k points to the right...
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