Sentence examples for which in the limit of from inspiring English sources

which in the limit of small argument for the exponential (k η >> 2 Λ) becomes.

which in the limit of leads for the autocorrelation function Eq. (66) to.

(67) and (72), we derive the spike train power spectrum which in the limit of and (keeping terms up to second-order in and ) is equal for the AD and STS model (39).

From the kinetic data obtained at various thermodynamic conditions, the rate of polymerization, Rp, and overall activation volumes, ΔV, were estimated, which in the limit of low pressures varied as follows −16.7, −18.1, −32.6 and −35.6 cm mol−1 for [MVIM][NTf2], [EVIM][NTf2], [BVIM][NTf2] and [OVIM][NTf2], respectively.

In addition to two entropy waves for the gas and dust components, respectively, the extended system includes three waves driven partially by gas pressure and partially by dust drift, which, in the limit of vanishing coupling, tend to the two original acoustic waves and the unhindered dust streaming.

The main approach is through stochastic or individual centered models which in the limit of large population, can be transformed into integro-differential equations or partial differential equations [ 26].

The feature is caused by the form of the cluster size dependence on the attachment rate constant (32), which in the limiting case of clusters of highly differing sizes does not depend on the size of the smaller cluster.

This criterion requires only slight additional operations and memory which vanish in the limit of large linear systems.

This expression, which holds in the limit of ( 1 ≪ k ≪ N ), can be compared with the results obtained in [2], in the small-coupling limit ( | g | ≪ 1 ), for sufficiently large k.

We prove that evaluating a local kernel on a data set gives a discrete representation of the generator of a continuous Markov process, which converges in the limit of large data.

In wild type and HO-1−/− mice, MPTP led to small increases of less than 1.5 fold in NQO1, GCL-M and GCL-C, which were in the limit of statistical significance.