The phrase "a process equal to" is correct and usable in written English.
It can be used when comparing or equating two processes in terms of their outcomes or characteristics.
Example: "The new method is a process equal to the traditional approach in terms of efficiency."
Alternatives: "a process that matches" or "a process comparable to".
Note that if D can be chosen to be a constant process equal to the maximal element of the state space, we obtain the CFTP algorithm [ 13].
In our approach N is not a system size but a parameter for scaling, and species numbers are scaled by powers of N. Though the limiting model for γ=2 is not deterministic, it is still possible to estimate an error analytically due to the fact that Z 1 2 (t ) which produces stochasticity in the limiting model is an exact process equal to Z 1 N, 2 (t ).
To ensure all variables are strictly non-negative, we used an independent Gamma distribution for g in the likelihood (9) for each of the three variables where parameters were specified to have mean process equal to an ODE solution and time constant variance σ M, σ P, σ Pv.
The assumption of ergodicity makes sure that the temporal average of a sample of stochastic process equals to the statistical mean of stochastic process, which enable one to obtain the statistical characteristics of a stochastic process by measuring only a few samples.
Note that In Figure 4(d), contrarily to the PCRB, the root mean square error of the two filters shows a divergence from the expected decreasing behavior.
Figure 6 Performance accuracy comparison of particle filters: (a) target velocity = 0. 1 m/s, and (b) target velocity = 0.3 m/showsd.
The success of the GRAS Notification program is demonstrated by the increasing rate of GRAS Notifications submitted to the FDA during the Interim Pilot Program, as well as the shift from a primarily domestic process to a process featuring an equal to greater contribution of GRAS Notifications from companies outside the US.
For the Single data set, 1081 BPs were made from 2 to 405 genes (the mean number of genes in a biological process is equal to 14.5 and the median is 4).
For the Multiple data sets, the 288 BPs (corresponding to eX) were made from 2 to 324 genes (the mean number of genes in a biological process is equal to 20.84 and the median is 7) and 82 BPs (corresponding to CGH) were made from 2 to 66 genes (the mean number of genes in a biological process is equal to 9.33 and the median is 4).
Photon emission is a random process characterized as a Poisson process with a variance equal to the mean.
