Sentence examples for a unique strict from inspiring English sources

Now, we evaluate the cases of Proposition 2. In each case, there is a unique strict symmetric Nash equilibrium.

Moreover, if the positive cone of the vector ordering is solid, then there exists a unique strict vector ordering on this space.

Conversely, if K is a solid cone with the interior K ∘, then the relation ≺ on Y defined by means of x ≺ y if and only if y − x ∈ K ∘ (5.2). is a unique strict vector ordering on Y. Proof First part.

Finally, let us assume the initial value (w_{0}) of the form (25) and (w_{0}in mathcal{R}(B^{k+1})). Then there exists a unique strict solution ((w,f)) to the identification problem ((mathcal{IP}2)) such that win C^{1}bigl([0,tau ];Xbigr),qquad fin mathcal{C}^{k} bigl([0,tau ]; mathbb{R}bigr).

Moreover, in [15] the representation of the space X as a direct sum X=mathcal{N}(A)oplus X_{1}=mathcal{R}(A)oplus X_{2}, where M is assumed to have a closed kernel (mathcal{N}(M)) and a closed range (mathcal{R}(M)), and (X_{1}), (X_{2}) are closed subspaces of X, is essential to guarantee a unique strict solution.

Finally, forking chains of immediate inclusions of regular marker sets growing from the root form a unique strict mutational compatibility consensus (SMCC) tree.

Then two mappings T, S have a unique common strict fixed point in K if and only if they have the common approximate K-boundary strict fixed point property.

Most noteworthy is that the recombinant Tm-5 protease also exhibits amidase activity against N-benzoyl-Pro-Phe-Arg-p-nitroanilide, a unique and strict substrate for native Tm proteases reported previously.

This is assumed to be related to the factual and perceived extensive care and attention provided in the trial - the 'Hawthorne effect', the 'care effect' or the unique strict adherence to the treatment protocol 'protocol effect'.

A set of new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self-regulation functions.

Some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions.