Sentence examples for a sequence of lower from inspiring English sources
In particular, there is no reason to think that one can change coordinates to obtain a sequence of lower triangular polynomial maps.
This method alternates between DWD iterations and BD iterations, where DWD restricted master problems and BD primal problems yield a sequence of upper bounds, and BD relaxed master problems yield a sequence of lower bounds.
In this paper, we propose new iterative relaxation-based heuristics for the 0 1 Mixed Integer Programming problem (0 1 MIP), which generate a sequence of lower and upper bounds.
As a first major eruption cycle, a sequence of lower members (A1, S1, A2, S2, and A3) predates the intrusion of the Cheogwari granodiorite whose hornblende K-Ar age is 76.3 ± 11.7 Ma (Reedman et al. 1989).
In this paper it is shown that if F is a separable Fréchet space, {fn: n ⩾ 1} a sequence of proper, lower semicontinuous convex functions, and fn∗ the convex conjugate of fn, then fn f0 ⇒ f∗n f∗n if f0 v) < ∞ for some vϵE.
The West Bokaro coalfield forms a broad syncline with its axis trending E W and it exhibits a completed sequence of lower Gondwana Formation, which rests uncomfortably on basement rocks.
The sequence ((underline{w}^{(n)},underline{z}^{(n)})), (ngeq1), is an increasing sequence of lower solutions of BVP (1); the sequence ((overline{w}_{n},overline{z}_{n})), (ngeq1) is a decreasing sequence of upper solutions of BVP (1).
(i) {s k } is an increasing sequence of lower solutions to (1.1 - 1.2 1.1 - 1.2i) {S k } is a decreasing sequence on upper solutI.ns to (1.1)-(1.2) on ii (iii) s k ≤ S k, for k ≥ 1. Proof.
(25) Then we have (i) The sequence ((underline{w}^{(n)},underline{z}^{(n)})), (ngeq1), is an increasing sequence of lower solutions of BVP (1); (ii) the sequence ((overline{w}_{n},overline{z}_{n})), (ngeq1) is a decreasing sequence of upper solutions of BVP (1).
We have introduced an algorithm to construct a convergent increasing sequence of lower solutions as well as a convergent decreasing sequence of upper solutions.
The main feature of the lifting-based DWT scheme is to break up high-pass and low-pass filters into a sequence of upper and lower triangular matrices and convert the filter implementation into banded matrix multiplications.
