Sentence examples for using the representation of from inspiring English sources

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

Thus it will be better to analyze the stability of delay differentia systems by using the representation of the solutions directly.

Notice that a similar transfer formula can be written using the representation of the fractional Brownian motion as Wiener integral on a finite interval (see, e.g., Nualart [2]).

Using the representation of phasor can explain the reason why the performance of the narrowband ANC systems is degraded for some normalized frequency.

Using the representation of interval-valued fuzzy matrix, Meenakshi and Kaliraja [11] have provided the techniques to study Sanchez's approach of medical diagnosis of interval-valued fuzzy matrices.

Example 4.2 In this example we evaluate the number of eigenvalues of problem (4.1) in Example 4.1 using the representation of the relative oscillation numbers in the form of (3.30).

The positivity condition is expressed in the non-commutative phase space in terms of the full matrix symbol, which is defined using the representations of the group.

In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group.

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).