As we changed the primary outcome measure to a time weighted measure by using the AUC, we could no longer use this equivalence margin.
By using the equivalence between PCA and parity space (Gertler and McAvoy, 1997), all the powerful concepts of analytical redundancy may be transferred to PCA.
By using the equivalence transformation and the associated Riccati techniques, some interesting results are obtained.
3, we establish the dependence of the family of boundary value problems for singular ordinary differential equations of third order (1.1) with respect to the parameter (lambdain{mathbb {R}}) by using the equivalence with the Volterra integral equation (1.2).
We prove some existence results concerned with the weakly efficient solution for the nonconvex and nonsmooth vector optimization problems by using the equivalence and Fan-KKM theorem under some suitable conditions.
By using the equivalence between the sets { ( n, l ) | l ∈ L int, n ∈ N int ( l ) } and { ( n, l ) | n ∈ N ,l ∈ I int ( n ) }, let us express the consistency constraints of problem (8) as x n, nl = z nl, n ∈ N ,l ∈ I int ( n ) x tran ( l ), nl = z nl, l ∈ L int, n ∈ N int ( l ).
By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend some previous works on the trace inequalities for positive definite Hermitian matrices, and we obtain some valuable theory.
We use this equivalence result in our paper.
In the next section we use this equivalence to prove the existence and uniqueness of solutions.
We use this equivalence to study the sensitivity analysis of the general nonconvex variational inequalities.
