Sentence examples for a well-defined solution from inspiring English sources

Assume that (aalpha =-1) and ((x_{n}, y_{n})_{nge-2}) is a well-defined solution to system (14).

Note that (Ileft( vec {r} right)) has to be non-zero, for this equation to have a well-defined solution.

Assume that (vert aalpha vert ne1) and ((x_{n}, y_{n})_{nge-2}) is a well-defined solution to system (14).

Proof First, we need to work on the noise term Q = a + Q 12 ′ + a − Q 12. Recall Q 11 is the solution of the Lyapunov equation ( L − W ) ⋅ Q 11 + Q 11 ⋅ ( L − W ) ′ + Σ ⋅ Σ ′ = 0. Lemma D.1 says that Q 11 = ∑ k = 0 + ∞ W k ⋅ Σ ⋅ Σ ′ ⋅ ( 2 L − W ′ ) − ( k + 1 ). is a well-defined solution.

Its focus on a well-defined solution has enabled it to operate in 10 countries in Africa.

Hence they may write scenarios which are not open-ended problems that stimulate inquiry, but "a simple problem with a well-defined solution, which results in a scavenger hunt for information from resources that the professor has provided" [ 22].

where (for are positive constants, is an integer, and the initial values (for are positive real numbers. It is well known that all well-defined solutions of the difference equation (1.8).

This continuous PDE has a (representation-independent) well-defined solution which we approximate by our triangle mesh.

Controllable electrospinning/spraying of fibers and particles and subsequent drug release from these chiefly polymeric vehicles depends on well-defined solution and process parameters.

In experiment 1, there is no well-defined solution, and it is likely that several configurations will increase the fitness.

Then, by the method of induction and the equations in (2), it follows that for every well-defined solution to system (2), (x_{n}ne0) and (y_{n}ne0), for every (nin mathbb {N}_{0}).