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By Langholz B., Goldstein L.

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Etc. etc. Table 3. Examples of module specifications Type of module Specification Parameter resistor default R in Ohms n-terminal circuit transfer impedance G ∈ Rn×n (ξ) n-port circuit i/s/o admittance (A, B, C, D) bar, 2 applicators Lagrangian equations mass and length 2-inlet vessel default geometry signal processor kernel representation R ∈ IR[ξ]•×• signal processor latent variable (R, M ) etc. etc. etc. A module Σ of a given type with T terminals yields the signal space W = W1 × W2 × · · · × WT , with Wk the universum associated with the k-th terminal.

Cn such that S ⊆ i=1 Nci . It then follows that for any d ∈ S, there exists some 1 ≤ j ≤ n such that |Fd [v](tj )| ≥ τcj /2 , (15) where tj = tcj . Let μ = (μ0 , μ1 , . . , μk−1 ) ∈ Rmk be given. Let {ωj } be a sequence of analytic functions defined on [0, T ] such that • • • (i) ωj (0) = μi for 0 ≤ i ≤ k − 1, j ≥ 1; ωj → v in the L1 norm (as functions defined on [0, T ]); and for some M ≥ 1, ωj ∞ ≤ M for all j ≥ 1. ) Reducing the value of T if necessary, one may assume that (T, M ) is admissible for all d ∈ S.

Again, using compactness, one can show that there are finitely many Uc1 ,μk , . . , Ucn ,μk , each of which is open, so that n S ⊆ i=1 Nci , and Uci ,μk ⊆ JNk c . Let i n Uμk = Uci ,μk . i=1 Then Uμk is a neighborhood of μk in Rmk . Since Uμk ⊆ JNk c for all 1 ≤ i ≤ n, i it follows that Uμk ⊆ JSk . Finally, let U = Uμk × IRm,∞ . Then U is an open set containing μ. Furthermore, for any ν ∈ U , the restriction ν k of ν is in Uμk , and therefore, ν ∈ JS . This shows that U ⊆ JS and μ is an interior point of JS .

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Conditional logistic analysis of case-control studies with complex sampling by Langholz B., Goldstein L.


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