Sentence examples for trivial solution is from inspiring English sources

Since,, thus the trivial solution is given by.

Secondly, if λ ≤ μ + α, the trivial solution is locally asymptotically stable.

Since the trivial solution is stable, given any, there exists a such that implies.

In Section 3, the stability of the trivial solution is considered.

Notice that a trivial solution is to set (bar {lambda }_{TH}^ = 0).

In this paper, we focus on the feature selection problem in multi-label classification, for which a trivial solution is handling the labels dividedly.

By taking the time delay as a bifurcation parameter, the stability of the zero equilibrium and the existence of Hopf bifurcations induced by delay are investigated, and then stability switches for the trivial solution are found.

With the help of the variational methods, the existence of a non-trivial solution is obtained.

It follows from Lemma 4 that the semi-trivial solution is unstable.

The necessary condition for the non-trivial solution is that the number of antennas at transmitter N is greater than and equal to the number of antennas at receiver M, i.e., (N geqslant M).

The non-trivial solution was obtained by means of guessing the temperature of any grid point within the solution domain.