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Valiant's most-notable paper, "A Theory of the Learnable" (1984), provided a mathematical foundation for describing how a computer could learn.
These provide a credible foundation for describing effective online learning.
Together, these discoveries provide a foundation for describing the principles underlying regeneration of complex, multi-tissue structures.
We consider a simple two-phase material with morphology as shown in Figure 2 as a foundation for describing our approach.
In "CDD 0)" section we demonstrate that, after generalization to incorporate dislocation generation and annihilation, already CDD 0) provides a theoretical foundation for describing early stages of work hardening.
Although some efforts have been devoted to the measurement and prediction of dynamic wheel loads [4, 6, 11, 12, 71, 72], few of them provides a complete theoretical foundation for describing contact force induced by vehicle pavement interaction.
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This chapter is on the stochastic foundations for describing and for incorporating the operational profile.
The charge-transport mechanisms and theoretical foundations for describing the functioning of small MOS devices from the diffusive to ballistic regimes of operation are surveyed.
The CFFDRS, despite providing the foundations for describing the fire environment in Canadian wildfire management operations, continues to develop and evolve as data sources and fire management need change (Wotton et al. 2009).
In particular, following the program of John von Neumann, game theory now provides the foundations for describing much of applied economics, from statistical decision theory (as "games against nature") and econometrics to general equilibrium theory and industrial organization.
The performed practical experiments and the knowledge gathered after reviewing the scientific literature in this area formed together the starting point and the foundation on which our conceptual model, for describing a general environmental application, was built.
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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