As the analysis below will show, Vivendi's profits are far weaker than is generally understood, and it will struggle to avoid being crushed by a debt mountain that already threatens the dividend.
In the analysis below, both models are estimated.
The analysis below confirmed that the monomers were totally polymerized (Fig. 5).
The analysis below is limited to the perpendicular direction to the large-scale field.
The analysis below is performed using census tracts and the dissemination areas from the Statistics Canada Census of Population.
For the analysis below, 11,881 (1.1%) compounds in the PubChem dataset had failures in InChI generation and so were discarded.
This assumption may be substantially relaxed without affecting the analysis below; we might instead only suppose that the ratios Pα[cn | hj·b]/Pα[cn | hi·b] are bounded so as not to get exceptionally far from 1.
Though the condition for the latter result is stronger than the first one, we will still apply this to the analysis below, as the bound is sharper and most of the loss functions satisfy the Lipschitz condition above.
Alternatively, as it will be discussed, the analysis below holds as long as the number of training symbols N p is sufficiently larger than the support of the waveform g(t)L.
The analysis below will be based on the relation: RX = R x x = A 2 (20)wheRe, R is the curvature radius at the end of the curve and Χ its projection on axis x.
In the analysis below, we will relate this geometric picture to the dynamics of the system by a fast-slow analysis of the equations (averaging), with special attention to the role of the SNIC.
