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The reference values which would be necessary to avoid the calculations presented in this paper could not be found despite consultations with physiologists specializing in bioenergetics and a search of the general literature.
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Hence, some authors may have chosen to avoid the calculation of effective doses in favour of reporting measurable variables as the dose-length product orCT dose index.
Although it is possible to derive EI as in RW case above, we provide an alternative way to avoid the calculation of tail distribution of degrees and inverse of RWJ marginal (with respect to the bivariate Pareto degree correlation).
Since the series are not stationary in levels, in order to avoid the calculation of attractor points (as levels) by first- or second-order differentiation (a difficult computational task), an indirect way to approximate such points will be proposed.
For the first time, the present work constructs the exact solutions to axisymmetric electro-mechanical fields of transversely isotropic piezoceramics in terms of generalized hypergeometric functions instead, which can help to avoid the calculation of infinite series to a large extent.
To avoid the calculation of this integral every 150 bp window, we compute it for and store the results during the initiation stage of NucleoFinder to speed-up the execution.
Fortunately, because calculation of (bar {mathbf {P}}(N_{g})) is independent of the received data as well as the channel parameters, we can prestore the calculated (bar {mathbf {P}}(N_{g})) in the memory so as to avoid the copious calculations.
In order to avoid the repeated calculations, the transformation of the tridiagonal matrix is recorded in the parallel solution of tridiagonal linear equations.
More recently Howard and Lamarche, 32) in a seminal paper, explored ways in which these bond orders might be obtained from properties that can be determined experimentally so as to avoid the theoretical calculations implicit in the earlier definition.
In addition, since different local feasible sets may contain the common user associations, to avoid the repeated calculation, we can cache the result of each calculated user association in a lookup table, especially when d is large.
This alternative model was created to avoid the occasional calculation of negative expression values when MM probe intensities are high compared to PM intensities [ 35, 36].
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