The phrase "a different realization of" is correct and usable in written English.
It can be used when discussing an alternative interpretation, version, or manifestation of something.
Example: "The artist presented a different realization of the original concept, showcasing a unique perspective."
Alternatives: "an alternative interpretation of" or "a distinct version of".
Each image is attacked with a different realization of the field.
For statistical significance, we perform 100 trials, where each new trial uses a different realization of the random graph (i.e. a new RGG).
Since there is only a single set of measurements in the experiment (as opposed to the Monte-Carlo runs where a different realization of the measurement process is generated for each run) and since the results of the particle filters hardly differ for different runs, only 10 Monte-Carlo runs were found to be trustable.
When a large number of trials each with a different realization of random perturbation is performed, a fraction of fiber tracts will be able to reach the functionally active regions in the gray matter.
Consequently, in one of the 100 stochastic iterations, we observed a different realization of exportations related to an iVDPV2-associated outbreak that ultimately led to an OPV restart.
To decrease the uncertainty associated with subsurface fracture map, a different realizations of the discrete fracture systems are generated based on image logs, seismic, geological features and the tectonic history of the studied reservoir.
Each disk of "Navigation" is devoted to a different realization, or a "Possibility Abstract," of the same work; "X" and "XI" (the LPs) and "XII" and "XIII" (the CDs) all run about forty-five minutexceptcept for the fifty-four-minute "XII".
Finally, the Ergodic capacity is evaluated by averaging (24) a sufficient number of times for different realization of the channel.
The procedure was repeated 30 times with different realization of the contrast variables in each repetition.
A number of different realizations of singular convolution kernels are selected to illustrate the present algorithm.
The biggest advantage of this method is that by perturbing the images (previously created through a geostatistical process as different realizations of the same variable), we preserve the spatial distribution of the data as revealed by variograms and distributions of the original variables (Hu 2002; Hu et al. 2001).
