Sentence examples for beyond the second order from inspiring English sources

Then, for what is called the maximization step, conditioned on the MMSE channel estimate, an approximate expression was obtained for the log-likelihood function by truncating the Taylor series expansion of a term involving CFO beyond the second order term.

Infiltration beyond the second order bile duct branches in both lobes of the liver.

Criteria for tumor unresectability include [ 4, 8– 10, 31, 34]: Infiltration beyond the second order bile duct branches in both lobes of the liver.

The recommendations for practice in this meta analysis are not only consistent with the original results but also extend beyond them, considering how the second order constructs sit within the wider literature.

Full-discretization methods beyond the third order is not yet explored except for this work in which the fourth and fifth order methods are presented.

We made that choice on purpose in order to test the validity of the relation between the normal and tangential components of the friction force beyond the, first order, sinusoidal variation of the frictional properties with the sliding direction, which we had already tested in [17].

Beyond the first-order cybernetics, the software, developers/users, and running environments influence each other and thus create feedback to form more complicated systems.

This research concludes that beyond the first-order Riemann solver the use of high-order time evolution model at a cell interface is extremely helpful in the design of robust, accurate, and efficient higher-order compact schemes for the compressible flow simulations.

On all the benchmark systems studied, we observe diminishing returns in computational savings beyond the sixth-order for accuracies commensurate with chemical accuracy, suggesting that the hexic spectral-element may be an optimal choice for the finite-element discretization of the Kohn Sham DFT problem.

We have to go beyond the first-order effects, too.

Even here though, the circuitry remains largely undefined beyond the second-order projection neurons [3], [4], [5], [6].