The phrase "a particular realization of" is correct and usable in written English.
It can be used when discussing a specific instance or manifestation of an idea, concept, or phenomenon.
Example: "This artwork is a particular realization of the artist's vision, showcasing their unique style and perspective."
Alternatives: "a specific manifestation of" or "a distinct expression of".
For proof-of-concept, a particular realization of the proposed system was validated with videos from Face in Action dataset.
The 'effective' coupling loss factor (CLF) of a particular realization of two coupled subsystems within a notional ensemble can differ from the ensemble average CLF.
Such a method considers the quantity of interest of the system as a particular realization of a Gaussian stochastic process, whose mean and covariance functions have to be identified from the available code evaluations.
Figure 7 shows the simulation results of in a particular realization of the random network.
In terms of our basis, a particular realization of the complex structure is given by and.
These are deterministic since each one represents a particular realization of the random excitation function.
Suppose we have a random function one can think of a particular realization and substitute into the Wigner distribution and then take the ensemble average of it [16 19] (56). is called the Wigner spectrum and satisfies the marginal conditions (57).
Specifically, the channel output X is modelled by a Laplacian distribution centred on the particular realization of the SI ỹ with a standard-deviation σ that depends on ỹ.
Dependent on the particular realization of an ensemble mortality cut-off value, the presented model is able to capture between 58% and 95% of all reoffenders and between 65%and97%7% of all reoffences committed.
Hence, the realized SINR, depending on the particular realization of the CSI error matrix, could be very far from the expected value.
Imbalanced triple selection in studies using a limited number of oligonucleotides therefore are prone to lead to biased results where the apparent Gg-stability can vary between large and low values in dependence on the particular realization of probe/target-duplexes containing a Gg-mismatch.
