This process, analogously to the case of Poisson and Pólya processes, which can be obtained as limiting cases of it, was shown to be a Markov process.
The induction proof for N < l work analogously.
Although we do not model the underlying noise process explicitly, we think of the homogeneous spike trains in Eq. (15) as a result of a common noise process ξ, analogously to the AD model.
C X, X ∈ { bp, mf, cc}, denotes the type of the category: C bp denotes a specific biological process and analogously C mf and C cc a cellular component.
Analogously, dietary patterns characterized by high intake of red or processed meats, refined grains, fried foods, and foods containing high amounts of added sugars are associated with greater type 2 diabetes risk.
This is illustrated in Figure 10.b, and Figure 10.c, where the sampling process is depicted analogously to Figure 10.a for the images in Figure 10.b1 and Figure 10.c1.
By doing so, we place DS analysis of harmonic generation processes in high-intensity fields on a firm foundation, analogously to that possessed by symmetry analysis in 'conventional' spectroscopy.
Analogously, a process will be called process observable if it directly or indirectly affects one of the output processes.
