Sentence examples for using the gaussian function from inspiring English sources

modeling, the neural networks algorithm was designed using the Gaussian function.

Mathematical best fits were applied to the curves after normalization using the Gaussian function (Fig. 2).

The average SNR will then be used to calculate the BER using the Gaussian function in (16).

Thus in this paper, the shape of long-term filter banks is constrained using the Gaussian function as Eq. 3. The time duration of long-term filter banks is limited by σ k, the strength of each frequency bin is reconstructed by α k, the total number of parameters reduces from 2mT in Eq. 2 to 2m in Eq. 3. w_{k,t}=alpha_{k}cdot expleft -frac{t^{2}}{sigma_{k}^{2}}right), 1lexpleft -frac{t^{2}

In order to test this hypothesis, we proceeded to derive a new MESI expression using the Gaussian function to describe speckle dynamics, and account for scattering from static tissue elements.

Sometimes in mass spectra, peaks can be found in which one half of the peak can be modelled accurately using the Gaussian function and the other half of the peak can be accurately modelled using the Lorentz function.

This motivates us to use the Gaussian function which has the smallest time-frequency window [8].

The Gabor transform, which uses the Gaussian function as the basis, also finds wide use for expanding functions that are simultaneously limited in both time and frequency [9].

We use the Gaussian function to separately calculate the probability densities of the duration in the sentence, phrase, and word using begin{array}{*{20}l} S x &=Nleft x,mu_{s},sigma_{s}^{2}right) P x &=Nleft x,mu_{p},sigma_{p}^{2}right) W x &=Nleft x,mu_{w},sigma_{w}^{2}right), end{array} (1) Fig. 2 Example of performing segmentation in the training data.

Unlike CoMFA, CoMSIA uses the Gaussian function for the distance dependence between the probe atom and the molecule atoms to avoid some of the inherent deficiencies arising from the functional form of the Lennard-Jones and Coulomb potentials.

The Kernel density estimation method can also estimate the conditional distribution functions of G and E. The functions and are determined using the Gaussian kernel function and the bandwidth recommended by Silverman [ 29] and applied in Fluss et al. [ 26] according to Zou et al. [ 30].