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A straightforward computation of energy velocity is proposed.
The proof of the next proposition is a straightforward computation of matrix products.
A straightforward computation of these probabilities is not efficient and in this paper we propose a new method to solve this problem.
Dynamic programming, which is used for solving Markovian stochastic viability problems, then yields the set of design states for which there exists a maintenance strategy which guarantees reliability with a confidence level β for a given period of time T. Besides, it leads to a straightforward computation of the date of the first outcrossing, informing on when the system is most likely to fail.
A straightforward computation of this recursion would require 𝒪(M N) time (Wheeler and Hughey, 2000).
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A straightforward computation for non-boundary pixels i shows that the stencil is given as in Fig. 2.
for any n 1, n 2, n 3, n 4 ∈ N, so we can show that the sequence ( φ n 1, n 2, n 3, n 4 ) fulfills (3.6) by a straightforward computation because of the continuity of the function R + → R, t → R t φ ( x ), for any φ ∈ C b, 1 ( H ).
The following lemma can be proved by means of a straightforward computation.
Moreover, a straightforward computation shows that the following points of (mathbb{R}^{2}_) hold the required conditions: x=biggl c-frac{b}{2},frac{b}{2}biggr),qquad y=biggl( frac{b}{2},d-frac{b}{2}biggr), qquad z=biggl(frac{b}{2}, frac{b}{2}biggr).
A straightforward computation shows that K and W satisfy the assumptions of Theorem 1.1.
A straightforward computation shows that K and W ( x, u ) satisfy the assumptions of Theorem 1.1, but neither F ( x, u ) nor W ( x, u ) satisfy the (AR) condition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com