Sentence examples for appropriate hypotheses from inspiring English sources

There is again an important class of theorems that guarantee the existence of certain choices under appropriate hypotheses.

Under appropriate hypotheses, they established the local existence and uniqueness of its solution.

Furthermore, Du and Xiang [16] obtained the blow-up rate estimates under some appropriate hypotheses on initial datum.

Under appropriate hypotheses, we are able to build interval observers giving dynamic bounds containing the variables to estimate.

Moreover, as p is close to 2, we get the fourth nontrivial solution under appropriate hypotheses, where f x,u) satisfies Ambrosetti Rabinowitz condition.

Furthermore, the Timoshenko beam kinematic and appropriate hypotheses on the stress field are considered in order to enforce the boundary equilibrium.

An analytical methodology has been applied, solving the continuity, momentum and energy transport equations under appropriate hypothesis.

Critical plane oriented hypotheses can consider these different parameters, but the difficulty lies in the definition of ductility and, based on this, the selection of the appropriate hypothesis.

The trueness of the method, in the concentration range studied, was guaranteed because there was neither constant nor proportional bias according to the appropriate hypothesis tests.

Although (H(g(X times g(X))subseteq H(X^{2})subseteq g(X)), we claim that the completeness of (g(X)) is not an appropriate hypothesis, as we shall see in the next item.

To find such a bias is still the hardest problem in any ML task and essential for the initial choice of an appropriate hypothesis space, which must be large enough to contain a solution, and small enough to ensure a good generalization from a small number of data sets.