Sentence examples for scale exponent from inspiring English sources

Since Z 23 N, γ 23 (t ) ∼ O (1 ) where γ23 denotes a natural time scale exponent of S23, we compare the scaling exponents of N in the reaction terms in (29) and the scaling exponent of N outside the reaction terms.

The state of the network is defined by the   topology of the network and the peering strategies of all agents α Peering cost per Mbps β Economies of scale exponent for peering traffic τ Economies of scale exponent for transit traffic Ψ Private peering threshold traffic volume (Mbps).

We want to express the time scale of each species in terms of power of N. First, we express order of magnitude of a specific time period of interest as a power of N with a time scale exponent γ.

The natural time scale exponent γ i for species S i is rigorously determined by (19) max k ∈ Γ i + ∪ Γ i − (γ i + ρ k ) = α i, where Γ i + denotes the collection of reactions where the species number of S i increases every time the reaction occurs.

In the second and third time scales, there are subsets of species whose natural time scale exponents are smaller than γ=1 and 2, respectively.

This scaling exponent β is related to the Hurst exponent by β = 2H−1.

We refer to this scaled exponent as the Hurst index.

The Heaps scaling exponent b depends on the extent of the inclusion of the rarest words.

Finally, the current analyses assumed that the data exhibit a single scaling exponent over all time scales.

They will manifest as a DFA plot with a high scaling exponent for short time windows within one order of magnitude, and a transition beyond this point to a lower scaling exponent where the AR(1) influence rapidly decays55.

The scaling exponent relating droplet diameter and time was determined.