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Moreover, we choose the time slot to be sufficiently small, such that A n (t) is bounded to a constant ω n, so that A n (t) ≤ ω n,∀t ≥ 0. In the rest of the article, the vector A → = [ A 1 ( t ), …, A N ( t ) ] T will be defined as the Arrival process, and its expectation ⋀ → = [ λ 1, …, λ N ] T will be defined as the Mean arrival rate vector.
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In this article we discuss on a behavioral approach restricted over a set of functions whose second derivative are bounded to constant C. The condition is equavalent to the Lipschitz condition to the first derivative of the functions.
The Hausdorff distance between the Ritz values, corresponding to different trial subspaces, is shown to be bounded by a constant times the gap between the subspaces.
Our proposed methods also allow us to find an optimal solution in polynomial time if the maximum indegree (i.e., the maximum number of input genes to a gene) is bounded by a constant.
In particular we can prove that u m ∈ C 2, α ( B ¯ ρ 0 ) and u m = O C b 2, α ( | x | k + 1 ), where the O C b n, α ( g ) denotes a function that, together with its partial derivatives of order less than or equal to n + α is bounded by a constant times g.
If the length of fragments is bounded by a constant L, the complexity is reduced to O l2 × L).
In fact, the time complexity is similar to ordinary secondary structure prediction where interior loop size is bounded by a constant.
The delays are assumed to be time-varying delays being differentiable uniformly bounded with delay-derivative bounded by a constant, which may be greater than one.
Assuming the degree of every node in is bounded by a constant, the running time of CAMPways is, where is assumed without loss of generality to be larger than.
For small k (bounded by a constant), our algorithm is linear time.
This design charges the damage to the forestry companies based on the optimal solution properties obtained from the centralized problem, with overcharging bounded by a constant.
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