This statement, a guarantee of anonymity, and descriptions of other aspects of the cooperation requested were attached to the questionnaire.
Note that the statement of Theorem 2.3 guarantees the local stability of the disease-free equilibrium point under its existence condition of Theorem 2.1 requiring.
Professor Thio Li-ann has argued that since Article 15(1) is the general statement of principle that guarantees freedom of religion while Article 15(4) is an exception to the general principle, Yong C.J.'s assertion that "actions undertaken or flowing from [religious] beliefs must conform with the general law relating to public order and social protection" is incorrect.
Remember: a promise is just a statement of intent, not a guarantee of a particular future outcome.
I can only tell you this much: at the time of my writing this - and I am writing this live, online, straight into the editor - my intention is to finish this blog-project, but, as you have probably learned from life, a promise is just a statement of intent, not a guarantee.
The existence of I and J and of smooth functions y 1 ( x ) and y 2 ( x ) defined in I as in the statement of the theorem is guaranteed by the hypotheses and the implicit function theorem.
Critics see that as special pleading after all, the whole point of auditing financial statements is to give some form of guarantee that they are credible.But the unintended consequence of litigation run amok, argues the profession, is that audit quality is worse.
We are paying them both a chunky guarantee as a statement of our intent, but we think that the shows will attract big audiences over the course of their run and will pay back that guarantee many times over.
Example 10 shows that the orbital decreasing property cannot be omitted in the statement of Corollary 15 in order to guarantee the uniqueness of the fixed point.
The next example shows that the orbital decreasing convergence condition cannot be deleted in the statement of Theorem 9 in order to guarantee the uniqueness of the fixed point.
The following example shows that the assumption 'Φ is homogeneous' cannot be omitted in the statement of Theorem 11 in order to guarantee that a projective Φ-contraction is also a contraction from ((X,P_{Phi})) into itself.
