The trajectory (7) is continuous on S (for a given (c in C)) if the corresponding function x c (t) [cf. (6)] is continuous (in t) on the interval G (for the given c).
The method used in R to numerically integrate a function results in errors and incorrect results if the corresponding function is either constant or approximately constant.
Paillier is homomorphic over addition in and the corresponding function is multiplication over the ciphertext field.
To maintain compatibility with the dose response functions described by Scholze et al. (2001), we exchanged the upper and lower asymptotes in the regression models; that is, the θmax values in the corresponding functions of Table 2 were used as θmin, and vice versa.
In this case the corresponding function (2.3) satisfies the condition ∫ - ∞ ∞ | θ ( x ) | ( 1 + | x | ) - κ d x < ∞, and hence θ ∈ S ′ ⊂ Z ′. 2.2.
For a given Ri, should the p-value be greater than 0.05 for a predictor, one can state that the predictor is not statistically significant for the key feature in question, thus the corresponding function f is set to zero.
In other words, the corresponding function acts to reduce the inducing signal.
We first derive filter coefficients in the polynomial domain (in the variable x) in terms of the coefficients of the corresponding function in z-domain.
Relative protein intensities in each biological replicate were subjected to global statistical analysis (ANOVA, p < 0.05) to reveal significant differences in between the different groups using the corresponding function implemented in the software.
The dual norm of d(2)(ω, q) is completely determined by Mitani and Saito in [10] by finding the corresponding function ψ ω, q *.
