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Under satisfying conditions, flying targets are represented by a peak on the depth map, and under difficult conditions, they are represented by holes.
In this research, we integrate a fuzzy linguistic decision model with a genetic algorithm (GA) to extract the optimum promotion mix of a variety of tools under satisfying expected marketing performance and budget limitations.
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However, there are periodic time scales (mathbb {T}) under Π satisfying (Picapmathbb {T}neq emptyset).
We should seek a solution of (2.1) under which satisfying the boundary conditions on the negative semiaxis (3.10).
Another advantage of the lack of hydrolysis is that no destabilization occurs allowing observation of the initial interaction steps in the complete absence of disassembling structures and under conditions satisfying the law of mass action.
Wolfsburg are no longer under investigation after satisfying the break-even requirement having provided additional financial information.
The present model established analytically analyzes the performance of a triangular fin under dehumidifying conditions satisfying a cubic polynomial relationship between specific humidity and the corresponding saturation temperature.
Under impulsive functions satisfying broader monotone conditions and without assumption that the lower and upper solutions exist, we obtain the existence results of ω-periodic mild solutions.
So far, most designs have not been optimized to account for the requirements of filament wound structures, and no design method exists for general filament wound structures under internal pressure, satisfying given design requirements.
Under the condition satisfying the leaky wave mode principle and within the minimum acceptable refractive index (RI) range by the system, this FOCS system could monitor numerous liquid chemicals with variable refractive indices and has been tested with positive results.
For e = ( e 2, …, e N − 1 ) ∈ R N − 2, we put E = ∑ k = 2 N − 1 e k, E ± = ∑ k = 2 N − 1 e k ±, e ¯ = 1 N − 2 ∑ k = 2 N − 1 e k and note that E = E + − E −. Motivated by the above results from [13 18], we consider the discrete Neumann problem (1.1) under the nonlinearity satisfying some suitable conditions and obtain the existence and multiplicity of solutions of (1.1).
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CEO of Professional Science Editing for Scientists @ prosciediting.com