Sentence examples similar to establish its uniqueness from inspiring English sources

To establish uniqueness invariance, uniqueness, intercepts and factor loadings were constrained to be equal across two groups.

It is difficult to establish the uniqueness of the T-periodic solution of (1.3), but in the special case we obtain the uniqueness of (1.3).

We classify the solutions and establish the uniqueness of radially symmetric solutions.

We establish the uniqueness for the nonsmooth dissipation coefficient and prove the convergence property of the minimizer of the regularizing cost functional for the inverse problem theoretically.

We establish the uniqueness of this solution for a given choice of the relevant parameters, the radius of the circle to be traced out and the location on the rolling circle of the tracing point.

In this paper, we establish that uniqueness holds at the level of (stationary) point processes, the only minimizer being given by averaging Z over a choice of the origin in [0,1].

In Section 4, we establish the uniqueness of the solution.

We establish a uniqueness result and prove a reciprocal theorem.

Now we establish the uniqueness of Suppose there exists such that for some.

We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.

At last, we establish the uniqueness results when the reaction terms satisfy the Lipschitz condition.