Sentence examples for a sufficient order from inspiring English sources

Assume that the functions (f(x)) and (g(x)) in (2.1) have continuously bounded derivatives up to the required order for the following analysis, and the coefficient functions in Itô-Taylor expansions (up to a sufficient order) are globally Lipschitz and satisfy the linear growth conditions.

Under the guidance of the party, better known here as Pasok, Greece got its finances in sufficient order to adopt the Euro as its currency.

And over the coming months he placed his affairs in sufficient order to enable him to marry again -- largely by making two trips back East to be divorced from Nancy, neither speaking a word to her when they met in court nor even exchanging a glance, and offering little explanation or comfort to those old friends he saw.

The idea proposed in this paper is based on polynomial approximation of any HPA model at sufficient order.

This "Harrying of the North" restored sufficient order to allow the rebuilding of the two castles, again in wood.

Professionals did not provide sufficient order-generating rules (standards) to help operationalize the best-practice recommendations and promote change.

Before applying the mountain pass theorem, we show a sufficient condition in order to find a critical point via the mountain pass theorem.

In other words, the disconjugacy character is only a sufficient condition in order to ensure the constant sign of a Green's function related to problem (1 - 2).

A conservative surgical resection, such as laparoscopic surgery, was thought to be a sufficient treatment in order to relieve symptoms or prevent complications caused by CHA.

As summarized in Figure 3b, the sample is irradiated through a microscope objective, giving a spot of diameter of 10 μm, which is scanned on the sample at a speed of 1 mm/s to write or draw a motif or to cover a sufficient surface, in order to perform characterization experiments.

Instead, the paper argued that a determination from a "well-informed high level administration official" that a target represents an "imminent threat" to the United States is a sufficient basis to order the killing of an American citizen.