The design of Zhang dynamics (ZD) is based on the elimination of an indefinite error-function, instead of the elimination of a square-based positive or at least lower-bounded energy-function usually associated with gradient dynamics (GD) and/or Hopfield-type neural networks.
Such a neural-dynamic system is elegantly designed by defining an indefinite matrix-valued error-monitoring function, which is called Zhang function (ZF).
Furthermore, in the case of false-positive sentences, curators must confirm and assign them into four negative categories: irrelevant, negative, entity recognition error and indefinite.
To collect distinct types of annotations from users, we list the sentences that contain recognized gene mentions as candidates, and allow users to classify these sentences into five predefined categories: relevant, irrelevant, negative, entity-recognition error and indefinite.
Haber provided two formulas and approximation error for approximating the indefinite integral over a finite interval in [16].
In each treatment session, the learners and researcher carried out three oral production tasks, where learner errors on the English indefinite and definite articles were treated according to their group assignments.
One's explanation of people can reasonably attribute error or simple difference of belief on an indefinite number of important matters that might even deserve to be called 'fundamental' as long as it seems plausible to attribute error or simple difference of belief to them in their epistemic situation as we construe it (see also Grandy, 1973).
The data obtained indicated that they mostly gave WCF on errors attributed to tenses, voice, modals, and definite and indefinite articles.
More recently, Okayama et al. [20] reported error estimates with explicit constants for the Sinc approximation, Sinc quadrature, and Sinc indefinite integration.
In this paper, different indefinite ZFs, which lead to different ZNN models, are proposed and developed as the error-monitoring functions for time-varying matrix square roots finding.
