In fact, the same key quantities (localized complexities) are underlying both traditional penalty-based and algorithmic regularization.
The software package can also calculate many key quantities in complex systems such as Poincaré sections, survival probabilities, and diffusion coefficients.
Entropies are key quantities in physics, chemistry, and biology.
Key quantities in the resulting dynamics are the number of subsequently collapsed countries starting from a given country's collapse (hereafter we call this avalanche size A of the country), and the distribution of avalanche sizes P(A) over all starting nodes [31].
Two key quantities in our analysis are the fractions, ϕ0 and ϕ1, of public goods that are retained by its producer and the producer's immediate neighbors, respectively.
The key quantities in describing the phase behavior are instead the composition of the internal film [ 11, 15] after addition of a cosurfactant.
The two key quantities in equations (1 - 2) are P(b| H0, G, M), the likelihood of biosurveillance data under H0, and P(b| H1, G, M), the likelihood of biosurveillance data under H1.
X T equals either 1 or 2. Key quantities in competing risks are the cause-specific hazards (CSHs) α0 j (t), j = 1, 2, (1) The dt notation in (1) is a short, but more intuitive form of the more common α0 j (t) = limΔ t ↘0 P(T ∈ [ t, t + Δ t), X T = j | T ≥ t)/Δ t.
The example of paratuberculosis in dairy herds has been explored, a disease for which there is considerable uncertainty in the values of many key quantities affecting the dynamics.
The advantage of this simplistic approach, in our opinion, is that the model sheds light on the possible mechanisms and key quantities underlying bistability in malaria dynamics.
