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We then tried the three-component subsystems, in which the arbitrary component is subtracted.
Lower bounds: Let (x_{p}>0) be an arbitrary component of x, (x_{q}=min{ x_{k}, 1leq k leq n}).
In practice, more ambiguous cases can occur and, ultimately, the decision of the labeler has an arbitrary component, as in every complex annotation process.
Upper bounds: Let (x_{p}>0) be an arbitrary component of x, (x_{q}=max{ x_{k}, 1leq k leq n}).
From this, an analytical solution to the random defect Monte Carlo problem in form of a distribution function characterizing the fatigue limit of an arbitrary component is derived.
This step of simplification/abstraction has been used in different biomimetic methods, but so far, it has an arbitrary component, i.e. it crucially depends on the competence of the person who executes the abstraction.
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Nevertheless, the design of Anduril as a platform able to host and sustain abstract workflow representations that call arbitrary components is novel and compelling beyond the specific details of its architecture.
Then, on its arbitrary connected component D, we have (-Delta _{p} v-overline{v})(x)leq0), (xin D), since (g(v)geq0).
The cement was designed as such that it would allow the incorporation of an arbitrary, secondary component, which would not participate in the cement reaction.
This model allows input of arbitrary loading components and arbitrary initial separations.
Arbitrary software components can be integrated as data sources and sinks by means of a conventional TCP/IP networking interface.
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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