Sentence examples for many formal representations from inspiring English sources

Using this paradigm, data can be aggregated as many formal representations of information granules: intervals [ 13], fuzzy sets [ 14], rough sets [ 15], shadowed sets [ 16], or probabilistic sets [ 17].

But the probability logic axioms are so weak that many formal structures satisfy them, and Reichenbach's claim is a long way from a representation theorem.

It can ask Gurria to make formal representations to the Prime Minister.

Then, formal representations are explained.

This provides one reason why we should care about formal representations of belief, and formal epistemology in general.

A particular focus will be  on the relation between formal representations of qualitative belief and formal representations of quantitative degrees of belief.

Whereas earlier versions of SURGE focused more on layering formal representations over informal representations, SURGE Symbolic inverts this order, layering informal representations over formal representations while organizing game play explicitly around navigating and coordinating across representations.

Moreover, we show that the latter operator representations induce the formal representations by a certain Taylor expansion.

Further, students tend to have difficulty mapping their intuitive understandings to formal representations and evaluating alternate representations (Sherin 2001).

Mathematical models as formal representations are central for handling the associated complexity.

Other works specify formal representations [16], dictionaries [8] and recognition [39] in sign languages (SL).