From (2.10) and using the methods in Theorem 2.1, we can get the following convergence result.
Applying this equality and using the methods in [10, 22], some sufficient conditions ensuring the invariant set and the global attracting set for a class of neutral neural networks system with impulsive effects are obtained.
Note that proofs of the new inequalities (14), (17), (19), (20), (21), and (22) for any fixed (n, m in N) can be obtained by substituting (x = sin t) for (t in [ 0, frac{pi }{2}] ) and using the methods and algorithms developed in [11] and [12].
Finally, let us note that proofs of inequalities (19) and (21) for any fixed (nin N) and (k in{3, pi}) can be obtained by substituting (x = sin{t}) for (t in[0, pi/2]) and using the methods and algorithms developed in [19] and [20].
For decades, studies have focused on proposing new definitions of the rank statistic and using the methods of Chernoff and Savage to show the relative efficiency of the proposed statistic to the F-test, see for example Mood (1954), Siegel and Tukey (1960), Ansari and Bradley (1960), and Klotz (1962).
AB623044) was determined using GmMID-specific primers (Table S2) that were designed based on the cDNA sequence and using the methods described previously [22].
For MME, it first forwards MSK to the eNodeB through EAP-Success, then computes and using the method above.
For GA vs GG genotypes, there was evidence for bias using Egger's weighted regression method (P for bias=0.03) and using the method of Begg and Mazumdar (P=0.07).
We recorded and transcribed the interviews verbatim and used the methods of Grounded Theory to analyse the interview transcripts.
However, if you're short on time you can cheat and use the method detailed in the banoffee pie recipe above (omit the coffee and cardamom), just cooking the condensed milk in a pan with butter and sugar.
