Sentence examples for conditions in the definition of from inspiring English sources

If P is a percuspidal parabolic of G with unipotent radical N and if χ is a non-trivial unitary character of N such that χ(Γ ∩ N) = 1 then a meromorphic family of functions M v) on gG / G that satisfy all of the conditions in the definition of automorphic form except for the condition of moderate growth is constructed.

And, second, procedural theories overlook the constitutive role of external conditions in the definition of autonomy.

The other to obtain the conditions in the definition of the concept of algebraizable logic.

Although Meinong considers himself to be a value subjectivist at this stage, he already includes some kind of non-subjective (normative and not empirical-psychological) conditions in the definition of a value: "The value of an object might be defined as its capacity of being valuated by an intellectually and emotionally normal subject".

Moreover, by replacing with, the condition in the definition of in Theorem 2.1 reads (2.8). the left-hand side of which is equal to (2.9).

This led to the need to operate with an acceptable distance, which has to satisfy the first condition in the definition of a distance: the distance is zero if and only if the overlap is perfect.

Then, the transition condition in the definition of URF can be further derived as 2 Q 2 SI R C 1 − 1 2 Q 2 SI R C ≤ th C ⇒ SI R C ≥ Q − 1 1 − 1 − th C 2 2 ⇒ ε C ≤ − 10 lg I C Q − 1 1 − 1 − th C 2 2 P t,C PL C ( x C ( d ) ) = C x C ( d ) (23).

Therefore, in our opinion, the presence of a time condition in the definition of remission enhances the significance of the remission for use as an outcome measure in clinical trials, and when a DAS-based definition of remission is used, the study should consider repeating it over time in order to calculate the mean and standard deviation of the disease activity.

To adjust for potential confounders, other pre- and intraoperative factors thought to be associated with conditions included in the definition of major morbidity were explored.

Recently Piri and Kumam [5] described a large class of functions by replacing condition (F3′) instead of the condition (F3) in the definition of F-contraction.

From condition (3) in the definition of achievable key rate and the chain rule, we have (8).