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▪ Strict uniqueness of identifier.
Canonicalization of chemical structure upon generating InChI ensures strict uniqueness of the identifier.
Though not necessary, strict uniqueness, which is always assigning a single label to a particular substance, is highly convenient and very desirable.
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For example, from the uniqueness of strict vector ordering (Theorem 5.1), it follows that ≺ defined by (5.3) is not a strict vector ordering in the ordered vector spaces defined in Examples 5.1-5.3 5.1-5.3
Besides the existence of NE, a new approach for the strict mathematical proof of the uniqueness of NE is proposed.
Besides the existence of Nash equilibrium (NE), a new approach for the strict mathematical proof of the uniqueness of NE is proposed.
Now we shall prove the uniqueness of the strict vector ordering on Y. Assume that ≺ and < are two vector orderings on Y.
In view of Definition 21, it is clear that the existence, uniqueness and the strict comparison property for the BSDE (64) imply that the market model is regular on [t,T] for every t∈[0,T].
However, we show the uniqueness does not characterise strict convexity.
Uniqueness follows from the strict concavity of g (A3).
We show the local uniqueness by proving the strict convexity of the map (u in{mathcal {U}}_{mathrm{ad}} to J u)).
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