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However, the function (d_{S} x,y)) defined in (2.2 ) does not always define a metric because of the reason that the triangle inequality does not satisfied for all elements of X everywhen.
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However, considering permeability index (PI) groundwater of the study area does not satisfy for irrigation.
Clearly, we note that the condition (ii) of the Lemma 2.8 does not satisfy for t = 0 or s = 0.
Research shows many Americans yearning for community and connection...being world class shoppers just doesn't satisfy for long.
Pamuk's lifeless generalisations don't satisfy for a moment: "The best way to study the novel is to read the great novels and aspire to write something like them".
Now, we show that the uniqueness in Theorem 4.2 does not necessarily hold; in Example 6.7, T satisfies (H2) for some J ≠ P and does not satisfy (H2) for J = P, and Fix ( T ) is not a singleton.
Then, we define a weak agent communication language, and we show that a synchronous version of the language does not satisfy requirements for knowledge-level programming.
(VII.8) T does not satisfy (H2) for J = P.
Further, as easily seen, does not satisfy (CG) for.
Then, is a symmetric space which satisfies (W4) but does not satisfy (H.E) for.
Then, the symmetric space satisfies (C.C) but does not satisfy (W4) for and.
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CEO of Professional Science Editing for Scientists @ prosciediting.com