Sentence examples for primal proposition from inspiring English sources
[12 step] is only one way to do that, but I think one of the things that is beautiful about it is this very primal proposition that you might show up in a room and listen to other people for an hour, and you can do that in any number of frameworks, and it would probably be really useful.
Since λ ̆ j k ( y j ∗ ) = λ j ∗ = μ ∗ in the j th primal subproblem, Proposition 1 establishes that λ ̆ j k ≤ μ ∗. Figure 2a explains the effects of the three steps of the CDM graphically from the dual domain point of view.
Before proving that the successive updates of the proposed method converge to the optimal solution, let us establish the relationship between primal and dual variables in the subproblems with the following proposition.
Given that "The Proposition" tells something of a national-foundation story, there's a primal, almost biblical tint to its parts.
This proposition implies a simple and unique way for choosing the vanishing moments of primal and dual low-pass filters so that the requirement of phase half-sample offset can be satisfied.
Proposition 3. Let y ̂ k = y k − r ( y ̂ k ≠ y ∗ ) be a primal point resulting from the primal projection of the CDM with the value of r≽ 0 suitable to fulfill ∑ j = 1 J ŷ j k = C, y ̂ k ∈ Y.
Thereafter, it is verified in the second step of the method (primal projection) that y ̂ k ≼ y k ( ŷ j k < y j k for some j) according to Proposition 2 next.
