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It always exists, is unique and continuous in the priors.
In Section 3, we prove that the generalized solution if it exists is unique.
That is the limit of ({x_{n}}), if exists, is unique.
The limit of a sequence in a quasi-metric space, if it exists, is unique.
Hence, for any f ( x ) ∈ C the solution of equation (26) exists, is unique, and belongs to the class C.
In fact, if the conditions (21) and (24) are realized, a solution of problem (17 - 18) exists, is unique up to constant summand, and v ( x ) ∈ C.
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By the Local Existence Theorem 2.8, it follows that the global solution (if it exist) is unique.
43 44454646 Although there is no consensus on the definition and measurement of organizational culture, some agreed upon tenets are that it does exist, is unique to each institution, and is a product of groups, not individuals.
Under the hypotheses of Theorem 2.2, the solutions of the BVP (1.1), if they exist, are unique.
We remark that the path derivatives ∂ t u, ∂ ω u and (partial ^{2}_{omega omega } u), if they exist, are unique.
The Sarvāstivādins ("advocates of the doctrine that all things exist") were unique in their stance that the characteristics of conditioned phenomena exist separately as real entities within each moment.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com