Sentence examples for ordering condition from inspiring English sources

We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution α and an upper solution β, which do not satisfy the ordering condition α⩽β.

The ordering condition is important in Rawls's argument against pluralist moral doctrines he calls "Intuitionism".

The ordering condition says that a conception of justice should aspire to completeness: it should be able to resolve conflicting claims and order their priority.

We can still guarantee the uniqueness of a fixed point by weakening the total ordering condition as stated and proved in the next theorem.

The theorem generally describes that two pairs of lower and upper solutions with an ordering condition imply the existence of three solutions.

Notice that if is totally ordered, condition (2.28) is obviously satisfied.

Connecticut regulators have approved the merger but have ordered conditions that Con Ed has said could prevent it from being completed.

First, it accommodates dependence across ordered conditions and consequently has increased power to identify genes showing subtle, yet consistent, changes.

In EBSeq-HMM, an auto-regressive hidden Markov model is implemented to accommodate dependence in gene expression across ordered conditions.

This was a first order condition or a first order necessary condition.

How do I check the second order condition?