Sentence examples for use the representation of from inspiring English sources

We investigated how students use the representation of data in a given example appearing in an interactive diagram (ID) and how they create additional examples with the ID.

Specifically, we use the representation of the optimal linear filter in terms of the cross-correlation between the signal to be estimated and the white-noise expansion of the observed signal.

Thus, we can use the representation of Corollary 1.

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).

We use the representation of a delayed matrix sine and, after putting, the left-hand side of (3.24) equals (3.26).

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.

So those are two operations that are implemented using the representation of vectors.

OK, again notice, the crucial thing that's going on here is you're using the representation of pictures as procedures to automatically get the closure property, because what happens is, Beside just has this thing p1.

Using the representation of (5.4), these corresponds to (beta_{4}=2) and (beta_{5}=1).