Sentence examples for alternatively represent from inspiring English sources

Hence, we can alternatively represent the diversity function f(S, d) in terms of a computationally inexpensive hypothesis function (f' k)) such that: begin{aligned} mathrm{Hypothesis}; mathrm{Function}; f' k)= ak^{-b} end{aligned}where a and b are the parameters we seek that would best fit the function to the sample data.

To handle the non-linearity of the rectifier function [D k ]+, we alternatively represent [D k ]+ in terms of the signum function to yield ({left [ {{D_{k}}} right ]^ + } = left ({{D_{k}} + {D_{k}}{text {sgn}} left ({{D_{k}}} right)} right)/2).

For simplicity, the resources in the model are described as oxygen, though they could alternatively represent glucose or any other diffusible factor delivered through the vasculature.

These discrepancies could be due to clerical errors or sample mislabeling, or alternatively, represent true differences between self-reported ethnicity and genetic ancestry.

Although a rapid initial diversification of anomodonts seems plausible in the light of the early radiation of basal therapsids in general [see 89], the pattern could alternatively represent a potential biogeographic phenomenon.

An "amplification" detected in a natural isolate might alternatively represent the deletion of a duplicate copy in the N2 lineage.

One might ask whether the SIMH pathway merely reflects increased activity of the conventional fusion machinery or alternatively represents a deliberate switch to an alternative pathway.

If only because it is here in the last eight of the Europa League that English football finds itself alternatively represented, with Chelsea (just), Tottenham Hotspur (just) and Newcastle United (also just) overcoming assorted middle-to-cruiserweight opposition this week to make it to the last eight.

The MR+1can be alternatively represented by N, which stands for the number of snapshots.

Note, we use subscripts BS,A,R, and B for alternatively representing the BS, selected user from A, selected relay from RS, and selected user from B, respectively.

Alternatively (represented by 'lock-in'), initial innovation succeeds in generating some changes that are effective but the actors perceive a limit to what is required and do not follow through the innovations [ 74, 77].