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As an application, we find some new equivalent conditions for the amenability of Kac algebras.
As an application, we find nodal solutions of the Yamabe equation.
As application, we find a solution of a system of certain nonlinear functional equations in uniformly convex Banach spaces.
As an application, we find sufficient conditions for the existence and uniqueness of blow-up solutions under weaker conditions.
As an application we find dilations of a conservative CP-semigroup (quantum dynamical semigroup) on B with arbitrary bounded (Christensen Evans) generator.
Moreover, in an empirical application, we find that patent based indicators represent valid proxies for the innovation performance of industries and thus help to measure innovation in the absence of other survey based indicators.
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As a potential prototype application, we found enhanced photocatalytic activity of the heterostructure using MB as a model organic contaminant under visible light illumination.
Considering the usual dataset of hammering samples, usually around a few hundred in our application, we found the k-means algorithm, usually used in data consolidation or pre-clustering, being adequate: it is simple and computationally fast enough.
In the real-world application, we found that the recovery of a continuous, coherent wavefield was better achieved for the vertical component of the rotation vector than for the divergence (Fig. 9).
In a numerical application, we found that the potential cost reduction, compared to the traditional approach, increases when the holding costs and/or the variability of demand are higher.
During our review of your application we found it is using a private API, which is in violation of the iPhone Developer Program License Agreement section 3.3.1; "3.3.1 Applications may only use Documented APIs in the manner prescribed by Apple and must not use or call any private APIs".
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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