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In the case of a CATB aqueous solution with a lower concentration, owing to the deficiency of surfactants, only a certain partial of the oil phases could form well-defined spherical emulsions, resulting in the formation of some shuttle-like nanostructures together with some irregular nanostructures.
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A fuzzy observer gain and a fuzzy residual gain in each observer are designed such that the residual is sensitive to a certain partial group of faults and robust against disturbance.
In the general case, when there are two or more audio sources present in the analyzed signal, a certain partial can be part of one of the sources, it can be shared by two or more sources, or it can be part of none of them (i.e., inharmonic or noisy partials).
The class is given in terms of solvability of a certain partial differential equation.
In this section, we present some examples to show applications in the boundedness and uniqueness of a certain partial integral equation with weakly singular kernel.
Therefore, an improper handling of certain partial failures can easily lead to accidents and severe chain reactions, and thus may cause large-scale/extensive blackout eventually.
Fixed point theorems in nonlinear analysis have become indispensable tools in a vast area of the analysis ranging from proving the existence of solutions of certain partial differential equations to nonlinear optimization and related fields (see, for instance, [1]).
Our results can generalize some known results and be used more effectively to study the qualitative properties of the solutions of certain partial differential and integral equations.
Consider a certain mixed partial P m of mean frequency f m ¯.
By introducing a certain form of partial exchangeability, we successively develop a hierarchical Bayesian model based on a mixture of Pólya urn processes.
In 1938, Morrey [24] carried out a systematic study to investigate the local behavior of solutions to a certain kind of partial differential equations and introduced a new function space, what is called Morrey space.
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CEO of Professional Science Editing for Scientists @ prosciediting.com