Sentence examples for the representation given from inspiring English sources

A series of articles in The New York Times in 2001 reported that 38 years after the United States Supreme Court ruled in Gideon v. Wainwright that indigent defendants had a right to legal counsel, the representation given to the poor in New York City routinely fell short of even the minimal standards recommended by legal experts.

A series of articles in The New York Times in 2001 reported that 38 years after the United States Supreme Court ruled in Gideon v. Wainwright that indigent defendants had a right to legal counsel, the representation given to the poor routinely fell short of even the minimal standards recommended by legal experts.

To this end, we use the representation given in (1) and apply techniques based on the preservation of log-convexity and log-concavity by positive linear operators (see [14, 15]).

In the static case, the representation given by (6) can be rewritten: begin{aligned} u_{k}(x &=-int_{Sigma} c_{ijpq}u_{i}(x &=-int_{i) frac{partial G_{kp}(L)}{partial xi_{q}} dSigma}xi) &quad+int_{Sigma} T_{i}(xi)G_{ki}(L)dSigma(xi).

We estimate the parameters of y using SBR, OMP, and log-barrier; the results are shown in Figure 2. The representation given at the bottom of Figure 2 plots the active modes in the frequency-magnitude plane: the vertical lines are located at the frequencies of the active set Ω and their heights represent the corresponding estimated magnitudes | x Ω |.

Then the representation given by where denotes the tensor product of matrices, is a representation of in and it is crystallographic in the sense of Definition 2.1 (Fulton & Harris, 1991 ▶).

Under UK law, a public authority may be prevented from going back on a lawful representation that an individual will receive or continue to receive a substantive benefit of some kind, even if he or she does not have a legal right to the benefit, because the representation gives rise to a legitimate expectation.

The representations given in that theorem involve the invariants (20) of the exponential tilting transformation and particular special functions.

The special assignments were chosen to diversify and improve the musical representation given that the highly methylated fragments have by far the highest occurrence (Fig.  1c) and, hence, disturb melody.

In the current study, we employ a modified form of the sparse representation given in [2], but solve it via a different approach greedy sparse recovery algorithms.

Consider the block representation given in Figure 4, a detailed description is provided in the following.