Our constructive theory does not provide a wave selection principle; however, by varying initial data in direct numerical simulations we were able to find solutions in excellent agreement with the theoretical predictions up to some maximal value of Δ.
The numerical schemes we employ are conservative (see e.g., Leveque 1992), and therefore preserve the value of the rest mass to the one determined by the initial data.
Since the receiver can estimate the channel gain of all the users (either by receiving known pilots or by using initial data received), the receiver can use successive cancellation decoding strategy to decode all the users.
Since the receiver can estimate the channel gain of all the users (either by receiving known pilots or by using initial data received), the receiver can use successive decoding strategy to decode all the users.
for all u between u L and u R; this is called the entropy condition, or Condition E. Oleinik has shown that weak solutions satisfying Condition E are uniquely determined by their initial data.
When (trightarrow0), the solution (46) of the Cauchy problem (5 - 6) is bounded by the initial data biglVert u x,t) bigrVert _{L^{p}(R)} leq biglVert u x,0) bigrVert _{L^{p}(R)}, quad xin R, pgeq1.
In the case k r = 0, f = 1, the total number of receptors is conserved by (46)–(52), and so determined by the initial data imposed, not by the Eqs.
In the case of the conventional SOM, the initial vectorial data are set at a random value, but this results in a final map which is changed by each initial data set.
Thus, as argued by us, initial data from pilot studies should be scrutinised with the most accurate statistical correction (Bocci and Loupakis, 2011), and efforts should be made to validate the preliminary data with randomised, prospective phase III clinical trials.
The analysis of polarization curves includes the determination of the OCV by considering the mixed potential at the oxygen electrode by fitting the initial data with an arbitrary oxidation reaction.
