Sentence examples for appropriate regularity from inspiring English sources
For this parabolic system, they proved the existence of solution in a class of classically differentiable functions both with respect to time and space under appropriate regularity conditions.
end{aligned} Under appropriate regularity and compatibility assumptions, they proved the problem to possess a unique (C^{2} -solution for any finite (T > 0).
Under appropriate regularity assumptions on the target probability density function, the proposed method is superior to the Maximum Entropy method with moments estimated by the Monte Carlo method.
For such an analysis appropriate regularity assumptions are indispensable.
"Déjà vu all over again" would be appropriate for the regularity with which Fairfield County's wealthier towns have rejected AvalonBay's applications to build what have become signature luxury rental apartment complexes for more than a decade.
A more detailed argument is presented in [15], where we consider local boundary regularity for appropriate classes of weak solutions.
Second, holding operators accountable for outcomes rather than the inner workings of algorithms would free them to focus on the best methods to ensure their algorithms do not cause harm, such as confidence measures, impact assessments or procedural regularity, where appropriate.
Under defined regularity conditions, with appropriate selection of tuning parameters, the consistency of the variable selection procedure and the oracle property of the estimators are established.
As a consequence, non-supervised methods such as PCA are more appropriate for an unbiased search of regularities in the data set, have greater power of generalization and potentially can reveal underlying patterns in the neural data.
But the Greek moralists think it takes someone of good moral character to determine with regularity and reliability what actions are appropriate and reasonable in fearful situations and that it takes someone of good moral character to determine with regularity and reliability how and when to secure goods and resources for himself and others.
The purpose of this paper is to show how this empirical regularity could be solved by an appropriate choice of financing instruments, namely, by an intelligent mix of common stocks and put options.
