A successful defense of this prospectus/field paper satisfies the oral defense required by F&ES and the Department of Anthropology, and is required for admission to candidacy.
The linear life model introduced in the paper satisfies the combined high and low cycle fatigue life prediction of nickel-base single crystal superalloy.
It can be concluded that the two mix proportions for SCLC presented in this paper satisfy various requirements for workability and can be used for the design of practical concrete structures.
and denote by the fact that Throughout this paper, satisfies the following conditions: (H1) Writing.
Therefore, the proposed algorithm in this paper satisfies fast solution in engineering.
One is that the weak solution defined in this paper satisfies (u_{t}in W'(Q_{T})), then the uniqueness can be proved.
Secondly, the nonlinear terms in the equations of this paper satisfy a sublinear growth condition that is weaker than the previous ones (see [11, 15]), meanwhile, the present work generalizes and improves the available results (see [5, 12]).
The following lemma has proven that the direction generated by Algorithm 1 with the strong Wolfe line search (9) and (18) in this paper satisfies the direction condition (20) by the observation for (g_{k}^{T}d_{k-1}).
Hereafter, all mappings (T : X rightarrowmathcal{K}(X)) considered in the sequel of this paper satisfy forall x,y in X,quad xneq y quadRightarrowquad operatorname{dist} x,Ty)+operatorname{dist} y,Tx neq0.
Consequently, the following inclusion criteria were applied: IC1 — the paper is referenced or referred to in one of the papers that was retrieved and selected from the three selection stages; and IC2 — the paper satisfies the criteria from the second and third selection stages (SC1, SC2, SC3, and SC4).
