The advantage of IWF is its simplicity, its closed-form solution, and the fact that it does not need any information exchange between base stations.
A new residual-consensus scheme within which the uncertainty of epipolar transfer is analytically characterized by deriving its closed-form covariance is developed to robustly estimate the noise scale.
To characterize the reliable communication of the D2D link, its close-form expression of connection outage probability was derived and some comprehensive analysis were provided to guide the system design.
The Heston model is probably the most popular stochastic volatility model, not so much due to its accuracy, but rather its relatively inexpensive computational requirements–a consequence of its closed-form Fourier solution.
Despite the known limitations of the simplified analytical models and close form solutions, its usefulness is emphasized to develop fundamental understanding for arriving at sound engineering judgment for conducting blast experiments in a safe manner.
Besides its simplicity (function with explicit close form, in contrast to parametric methods such as Bayesian shrinkages [9 14]), the main features of the SigShrink functions in image processing are the following.
This representation, and its accompanying closed-form analytical expressions, allow the use of circuit response theory to considerably extend the range of nanopore measurements.
Perhaps the most important difference between (1.2) and (1.4) is that in contrast to (1.2), (the solution of which is given explicitly in (1.3)) (1.4) (or even its simplest form (1.5)) cannot be solved explicitly so as to obtain its solution in closed form (except for certain values of the parameters) (see, e.g., [6, page 120] and [7, page 14]).
Using its solution in closed form is easily proved that lim_{ntoinfty}z_{n}=frac{2A^{r+1}}{A^{r}-2}, from which the boundedness of ((z_{n})_{ngeq4}) follows.
This result suggested that the trapped acetonitriles are not able to escape the cavity from either the side portal or the polar portal with the host in its CH2-in (closed) form.
