Sentence examples for classes of sufficient from inspiring English sources

Using real data the Hoffman study showed recently how to calculate the "proportion of diseased subjects who develop the disease due to classes of sufficient causes" (PDCs).

Using fixed point theorems for multivalued functions we obtain two classes of sufficient conditions to guarantee existence of PC-mild solutions in piecewise continuous spaces endowed with the Chebyshev norm and the Bielecki norm.

Using the formula of a PC-mild solution, we give two classes of sufficient conditions to guarantee the existence of PC-mild solutions via fixed point theorems for multivalued functions.

The main contributions are: (i) We give a concept of PC-mild solutions to (3).   (ii) Using fixed point theorems for multivalued functions we obtain two classes of sufficient conditions to guarantee existence of PC-mild solutions in piecewise continuous spaces endowed with the Chebyshev norm and the Bielecki norm.

In the IARC Monograph (2004a), colorectal cancer and prostate cancer are the two types of cancer that fell between the two classes of sufficient evidence of carcinogenicity and evidence suggesting lack of carcinogenicity.

Using the fundamental analysis of geometric integrators, we first establish one class of sufficient conditions for symplectic ERK methods.

We establish a class of sufficient conditions ensuring that a sequence of multiple integrals with respect to a free Poisson measure converges to a semicircular limit.

However, popular protest compelled Nāṣer al-Dīn to cancel the concession, demonstrating several factors of crucial significance for the years to come: first, that there existed in Iran a mercantile class of sufficient influence to make use of such broad, popular sentiment and, second, that such public outpourings of discontent could limit the scope of the shah's power.

In addition, Čižmešija et al. [11] obtained a class of new sufficient conditions for a weighted modular inequality involving the above operator (A_{k}), so that they refined the classical Godunova inequality.

The polyene and echinocandin classes of antifungals lack sufficient data to justify serum concentration monitoring in routine clinical practice.

In the case of digital color, the types are classes of light intensities sufficient to cause the same color experience for normal human perceivers.