Sentence examples for tight approximations from inspiring English sources

In addition, simplified yet tight approximations for the asymptotic outage performance are obtained.

This finding enables us to calculate asymptotically tight approximations for SEP of the AF protocol.

Then we derive the tight approximations for each of the considered scenarios.

Then, we derive tight approximations for the end-to-end coded bit error rate (BER) of the secondary transmissions, compare them with simulation results using convolutional coding schemes, and discuss their application using turbo-codes.

In this study, we first derive asymptotically tight approximations for the statistics of the received signal-to-noise ratio (SNR) in the system under study with maximal ratio combining and selection combining receiver.

We further show very tight approximations for SEP, induced from the numerical results given in Section 4, which help to assess asymptotic behavior of SEP in the high regime.

We note that (14) is actually a tight approximation and its tightness is evaluated in Section 4. From the expression in (14), we make several observations as listed below.

In particular, on instances drawn from the rectilinear (respectively Euclidean) plane, the MST heuristic is shown to have tight approximation factors of 3, respectively 4.

Since this estimator is intractable from a numerical point of view, we propose a tight approximation of it easy and fast to implement.

In addition, we design a novel approximation algorithm for one of the NP-hard variations of the RDAP with a very tight approximation ratio for any practical problem found in the literature.

Thus, the solution, ({ {{hat {mathbf {Q}}}_{mathbf {v}}},{{hat {mathbf {Q}}}_{J}} }), is indeed a tight approximation of (32).