The phrase "average of the initial" is not entirely clear and may not be correct in written English without additional context.
It could be used in contexts where you are discussing the average value of initial data points or measurements, but it needs clarification.
Example: "To determine the average of the initial scores, we added them together and divided by the number of scores."
Alternatives: "mean of the initial" or "average of the starting values".
These weights guarantee that the consensus algorithm converges to the average of the initial values.
Consider a more generalized situation in which each agent is given a nonnegative weight and the agreement state is defined as the weighted average of the initial conditions.
It can then be directly shown [20] that the value x k (t) at each node converges to a common global value, e.g., average of the initial values.
By "average consensus" we mean that all nodes converge to the same timing which is determined by the average of the initial timing differences between the nodes.
In the case of 'Biw' (spruce and pine) the average of the initial nutrient concentrations from the sites 'Kib', 'Roe' and 'Sig' was used.
Specifically, they study a broadcasting-based gossiping algorithm to compute the (possibly weighted) average of the initial measurements of the nodes at every node in the network.
The averages of the initial and final concentrations of algae in the flasks after 7 days of incubation were as follows: 0, 1.7, 1.7, 6.7 and 17.5 mg L−1 of chlorophyll-a, determined using NEN 6520 19811).
Class averages of the IP3R were calculated after reference-free alignment using IMAGIC and then refined using the SPIDER alignment routine using class averages of the initial reference-free alignment.
Data presented for 50%/50% nitrogen/oxygen in Tables 1 and 2 are the averages of the initial two baseline 50%/50% nitrogen/oxygen data sets (obtained 15 min apart) and the final data set (obtained at 75 min from the onset of the study period) on return to 50%/50% nitrogen/oxygen.
Averaging of the initial velocity from 40 to 100 ms after movement onset confirmed that it was reduced by stimulation (17.8 ± 3.6 cm/s and 19.6 ± 4.0 cm/s with and without 20 Hz stimulation, t[13] = −2.717, p = 0.018, paired t test; 9.3% ± 3.5% reduction with 20 Hz stimulation, t[13] = −2.664, p = 0.019, single-sample t test).
For benchmark set 1, the average precision of the initial classification is 0.44 with an average recall of 0.54 for tomograms without noise.
