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Firstly, Assumption 1 guarantees the nonnegativity of the value function of a recruiter; see (8).
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It follows from Proposition 2.8 that a nonnegative input signal,, is sufficient to guarantee the nonnegativity of the state of (2.9).
(1.7) By the nonnegativity of the initial condition and Assumption 1.1, (x_{i}(t)) is nonnegative.
This is a direct consequence of the nonnegativity of the dual parameters and based on (26).
The following result concerning the nonnegativity of the error functional T g can be stated.
Now we just need to show the nonnegativity of the right of (3.1) and (3.2).
In the process specified in the algorithm we have considered the nonnegativity of the solution.
First, we have established a condition to ensure the nonnegativity of the solution.
The nonnegativity of the model's solution implies that (limsup_{trightarrowinfty }s ( t ) leq M_{1}), where (M_{1}=frac{b}{bar{b} }).
The nonnegativity of the parameters is widely used in music transcription [12, 16, 17, 22] and source separation [36, 44].
First, by the same method as in [14], we can obtain the nonnegativity of the solution of problem (2.2 - 2.4 2.2 - 2.4
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