Recent content by rattma
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Undergrad 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 =)- rattma
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad 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 ##...- rattma
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad 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...- rattma
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad 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...- rattma
- Thread
- Notation Set Set theory Theory
- Replies: 8
- Forum: Set Theory, Logic, Probability, Statistics