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Thus, all the conditions of Theorem 3.1 are satisfied, and consequently there exists one solution for problem (3.7 - 3.8 3.7 - 3.8]).
Given and, then there exists one and only one solution of (1.3) such that.
Given and, then there exists one and only one solution of (1.1) such that (2.27).
The stable coalition structure under this mechanism is also studied, and it is proved that under symmetric information there exists one unique strongly stable coalition structure.
This shows that in Theorem 1.2, there exists one possible exceptional solution with σ ( f ) < max { σ ( B ), 1 } + 1.
Consider, then there exists one such that problem (1.8) admits, for each, at least one radially symmetric solution, for some.
Consider, then there exists one such that for each there exists at least one solution of problem (1.1).
Suppose that is closed, and there exists one member in which is either semicompact or satisfies condition.
Obviously, for a given sequence, there exists one and only one BS-matrix corresponding to the sequence.
Although both tasks are very similar, there exists one important difference which causes diverging results of the two disciplines.
If is Lipschitz continuous and strongly monotone, then there exists one and only one solution to VIP (1.1).
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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