By applying the inverse link-function, positive predictions result from the model.
We can then reconstruct the non-linear filter by simply integrating the noise curve to obtain F as a function of g and applying the inverse of this function to the mean expression level for each replicate to get a linearized signal (see Figure 2 ).
In addition, since SigShrink is invertible, it is not essential to store a copy of the original database (thousands and thousands of gigabits recorded every year); one can retrieve an original image by simply applying the inverse SigShrink denoising procedure (SigStrech functions).
By applying the inverse of the Planck function, thermal bands' radiance values were converted into brightness temperature values using the following equation (Chander et al. 2009).
Z-scores were obtained by applying the inverse cumulative normal distribution function to the P-values, and they follow a standard normal distribution under the null hypothesis of no effects of miRNA on protein expression.
So the estimated clean speech coefficient can be obtained by applying the inverse of the reference cumulative density function on the noisy CDF: widehat{x} = {C}_x^{-1}left {C}_y y)right) (2).
The resulting time history at the ground surface is obtained applying the inverse FFT to the Fourier coefficients estimated after the application of the transfer functions.
To demonstrate the structural derivative application, we applied the inverse Mittag-Leffler function as the structural function to model ultraslow diffusion of a random system of two interacting particles.
To implement the Gaussianizing nonlinearity, we again rank-ordered the V i (t ) (scaled to range between 0 and 1) and applied the inverse Gaussian cumulative distribution function to these ranks.
(G^{-1}) denotes the inverse function of G. Applying above Theorem 1.1 and a topological transversality theorem, he showed that, under some suitable assumptions, the integrodifferential equation x^{prime}(t)=F biggl t,x t),int_{0}^{t} K bigl[t,x,x(s) bigr],ds biggr) has a solution and gave bounds on that solution.
In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers.
