Sentence examples for sequence of relaxation from inspiring English sources

Initialize (x_{0}in H) and iterate x_{n+1}= 1-alpha_{n})x_{n+1}= 1-alpha_{n}(operatorname{prox}_{nambda_{n}g}(I- lambda_{n}nabla f)bigr)x_{n}, (1.4) where ({alpha_{n}}) is the sequence of relaxation parameters and ({ lambda_{n}}) is a sequence of positive real numbers, and obtain weak convergence.

where for each, is the (nearest point) projection of a signal onto a closed convex subset of [23] ( is interpreted as the th constraint set of the signals), is a sequence of relaxation parameters in are strictly positive weights such that, and stands for the error made in computing the projection onto at iteration.

However, the stationary distribution c s and the sequence of relaxation events depends on production reactions (see Eq. (2)).

Finally, in lines 3-5 of the DAG-SHORTEST PATHS ( Ḡ, x 0 ) algorithm, at each time step, the next vertex in the topological order is selected and a sequence of relaxations over all edges that are incident from this vertex is performed.

The objective of this work is the investigation of the influence of molecular weight and block sequence on relaxation of the block copolymer chains.

Notably, these levels are involved in both sequences of relaxation processes ending up with either green or red luminescence.

By utilizing exponential transformation and new three-level linear relaxation method, a sequence of linear relaxation programming of the initial nonconvex programming problems are derived, which are embedded in a branch and bound algorithm.

Explanations for this behavior range from a distribution of activation energies and relaxation times[5, 9], to a hierarchically constrained sequence of serial relaxation processes in which the fast degrees of freedom (involving the motion of single atoms) must relax before the slower degrees of freedom involving the coordinated motion of groups of atoms[84].

Explanations for this behavior range from a distribution of activation energies and relaxation times [5, 9], to a hierarchically constrained sequence of serial relaxation processes in which the fast degrees of freedom (involving the motion of single atoms) must relax before the slower degrees of freedom involving the coordinated motion of groups of atoms [84].

In the algorithm, by utilizing convex envelope and concave envelope of bilinear function, the initial nonconvex programming problem is reduced to a sequence of linear relaxation programming problems.

Using a parallel plate shear-testing device, we performed a sequence of stress relaxation tests at 2.5%, 5%, 10%, 20 %, 30 %, 40 and then 50% strand.