Sentence examples for for a normalizing function from inspiring English sources

For a normalizing function of the form, Z(λ e t,ν), where Z is as defined following Eq. (2), the kth (k=1,2,3,…) derivative is begin{array}rcl@ frac{partial^{k} Zleft(lambda e^{t}, nuright)}{partial t^{k}} = sum_{j=0}^{infty} j^{k} frac{left(lambda e^{t}right)^{j}}{(j!)^{nu}}.

where assumption (17) is true for the normalizing function φ : N → R +.

Note that in cases where the likelihood (the probability density function, pdf, viewed as a function of the parameters values) is known except for a normalizing constant, MCMC has been the main option for numerical Bayesian inference since the 1990s [ 1].

Women described that through a process of becoming immersed in the community and hearing alternative birth stories it allowed for a normalizing of homebirth.

where is a normalizing constant called the partition function, is a constant called the temperature, and is the energy function.

where is the likelihood function and is a normalizing constant,.

In other words, we choose the distribution, which obeys the maximum entropy principle and is called the Gibbs distribution [see Lange et al. (2005) and Lu and Leen (2005) for formulas and further details]: (3) where Z is a normalizing constant and δ is the Kronecker delta function.

Recall that the denominator in Equation 1 is a normalizing constant (i.e., a partition function).

where is a normalizing matrix for a tracking object, defined as (13).

Ct values for α-tubulin expression served as a normalizing signal.

A normalizing transformation of was prespecified for C-peptide AUC mean, and normal plots of the residuals indicated that it was adequate.