Sentence examples for generalized on from inspiring English sources

This result generalized on the earlier ones in the literature.

On the other hand, Suzuki [5] recently obtained a remarkable generalization of the Banach contraction theorem which itself has been extended and generalized on various settings (see, e.g, [6 15]).

This case can be directly generalized on more complex reliability structures and any low authority control algorithm.

In the last fifty years, the Banach contraction principle has been extensively studied and generalized on many settings.

In the last fifty years, the Banach contraction principle has been extensively studied and generalized on many settings (see, for example, [2 12]).

The conventional Newton's method for optimization problems was generalized on the rotation manifold, which ultimately resolves the constraints into unconstrained optimization on the manifold.

In this paper, we generalized on-line virtual testing (OLVT) methods for site testing and expanded the application scope of OLVT to test a universal DCS system based on our experience and knowledge of site testing.

Because individuals' incomes tend to jump about quite a bit from year to year, it can be dangerous to generalize on the basis of one-year snapshots.

For instance, one cannot existentially generalize on the occurrences of 'the \(F\)'.

This logical axiom tells us that from a simple predication involving an n-place relation, one can existentially generalize on any argument, and validly derive a existential statement.

By generalizing on activities performed in accordance with the principles of the synderesis, one can formulate new general principles not contained in the synderesis that can guide behavior in a number of contexts.