Sentence examples for use the representations from inspiring English sources

Our methods use the representations of the systems on convex coordinates that arise from stoichiometric network analysis.

These approaches, also known as coarse-grained simulations, use the representations of small groups of atoms by beads or particles with specified interaction potentials.

An individual's Theory of Mind is "the capacity to infer mental states of others... a person's ability to form representations of other people's mental states and to use the representations to understand, predict and judge utterances and behaviors" [ 130].

In the case (b), let us use the representation (39) for the matrix A cp.

It is easier to use the representation R = 1[A1] +⋯+ 1[An], where Ak denotes the event "the kth draw results in a red ball".

In the following results, we shall use the representation (3.1).

Thus, we can use the representation of Corollary 1.

That is why we use the representation ' min x max y max z ' and not use the representation ' min x max y, z '.

And then they use the representation coefficient matrix to construct the affinity graph for subspace segmentation.

We use the representation of a delayed matrix cosine and, after putting, we obtain (3.29).

To derive (3.33), use the representation of as a -statistic (3.8).