Sentence examples for mixed general type from inspiring English sources

The mixed general type of variational relation problems is a combination of (VRP1) and (VRP2), and (VRP1) and (VRP2) are some special cases of (MGVR).

In this paper, we introduce a mixed general type of variational relation problems, and establish the existence theorem of solutions of mixed general types of variational relation problems.

A mixed general type of variational relation problems (MGVR) consists in finding ( x ∗, y ∗ ) ∈ X × Y such that x ∗ ∈ S ( x ∗, y ∗ ), y ∗ ∈ T ( x ∗, y ∗ ) and ∀ u ∈ H ( x ∗, y ∗ ), ∃ z ∈ P ( x ∗, y ∗ ) s.t.

We prove that most of mixed general types of variational relation problems (in the sense of Baire category) are essential and, for any mixed general type of variational relation problems, there exists at least one essential connected component of its solution set.

In this paper, we introduce mixed general types of variational relation problems.

Moreover, we study the stability of a solution set of mixed general types of variational relation problems.

Motivated and inspired by research works mentioned above, we introduce mixed general types of variational relation problems, which is a mixed structure of two general types of variational relation problems in [14].

Assume that (i)  P 0 is continuous with nonempty compact values; (ii) if W 1 ∩ W 2 = ∅, P 0 ( W 1 ) ∩ P 0 ( W 2 ) = ∅ ; (iii)  P 0 − 1 ( z ) ≠ ∅ for any z ∈ Z. Denote by M 0 the collection of ( S, T, P 0, R, Q ) mixed general types of variational relation problems such that all conditions of Theorem 2.2 hold.

While we could not find a report on complication rates for this type of mixed general surgery, it is anticipated that such a rate would be low, and similar to that which we have found given that this type of elective and pre-emptive surgery is generally not associated with many complications.

A mixed general linear model was used to compare the concentrations between the fixed tissue type effect and the random biological repeat (tree) effect.

general type correlation matrix.