Naturally, the WMD model needs only one energy function, because the mesh is composed of only one type of nodes.
The model needs only one adjustable parameter, β, for representing simultaneously the interfacial tension of several ATPS which are in the same series and differ only in the polymer molecular weights.
Therefore, to competently perform each trial the inference model needed only to estimate which of the two means was currently in use.
Importantly, since each regulator in the linear combination has independent weight parameters, the model needs only relative concentration measurements.
In comparison, the normalization carried out by the model needs only one array and it alters only minimally the overall distribution of the log of the original data.
The first simple models needed only in-cylinder pressure data but presented a great disadvantage: the assumption of a constant value for the polytrophic exponent [5].
Then, in order to define an epistemic-probability model we need only give for each agent \(i\in\Agt\), (1) a prior probability \(p_i\in\Delta(W \) and (2) a partition \ \Pi_i\) on \(W\) such that for each \(w\in W\), \(p_i \Pi_i(w))>0\).
For the bottleneck model, we need only to track coalescence events and transitions between three phases: before (1), during (2), and after the bottleneck (3).
This vibration of this rather complex structure is described here with models which need only a small number of parameters.
Proof Let ( J ( n ), S ( n ), I ( n ) ) be any positive solution of model (1), we need only prove that there exists constant m 3 > 0 such that lim inf n → ∞ I ( n ) ≥ m 3. (14).
