On giving particular values to the parameters in Theorem 3.9, we have the following results.
By giving particular values to the parameters in the generalized Mittag-Leffler function, several fractional integral inequalities can be obtained for corresponding fractional integrals.
By giving particular values to parameters in the generalized Mittag-Leffler function several fractional integral inequalities can be obtained for corresponding fractional integrals.
We obtain the following sequence spaces from the above sequence spaces: W 0 2 ( A, M, u, Δ s r, p, ∥ ⋅, …, ⋅ ∥ ) and W 2 ( A, M, u, Δ s r, p, ∥ ⋅, …, ⋅ ∥ ) by giving particular values to ℳ, p, u, and A.
This method maximizes the likelihood of obtaining the observed tree, given particular values for speciation and extinction rates.
The three variables identified above are fundamental in the sense that if given particular values and incorporated into a requirement of informed consent, they will express the strongest possible protection of personal autonomy.
Using these models to predict the behaviour of important state variables given particular parameter values has been extensively studied.
The original proof from [34] was qualitative, it did not give any particular value of (c).
Figures were produced using data from a Least Squares Means statement within the models (PROC MIXED; LSMEANS), such that the models predicted eGFR given a particular value of HDLC (evaluated at 30, 40, and 50 mg/dl) and genotype (GG or AG/AA) with all other terms set to their mean values.
Briefly, for each PRT or ratio measurement, Gaussian models of measurement error (based on empirical observations) were used to estimate the probability of producing the actual measurement, given a particular value for the true gene copy number between 2 and 16.
