Sentence examples for differentiation of the log from inspiring English sources

The likelihood function is as follows: begin{aligned} mathrm{like} varvec{beta })=prod _{n=1}^N p varvec{x}_n)^{y_n} 1-p varvec{x} 1-p varvec{xend{aligned}_n5)Obtaining the maximum value of this likelihood function requires partial differentiation of the log likelihood (L(varvec{beta })=log (mathrm{like}(varvec{beta }))) by (varvec{beta }) and solving the following simultaneous equations.

Thus, here the Taylor series truncation is performed after differentiation of the log-likelihood function, while in[12] and[14], the Taylor series truncation is performed directly on the log-likelihood function.

To find the maximum or the peak, we set partial differentiations of the log-likelihood function to zero with respect to these two parameters resulting in two simultaneous equations in terms of the two parameters.

FSTAT version 2.9.3.2 (Goudet 1995) was used to calculate Weir and Cockerham's (1984) pairwise FST for hatchery versus natural origin fish and the probability of population differentiation using the log-likelihood-based randomization test.

These channels can be accomplished using a Gaussian differentiation in the log-time domain.

Beware of the Log Home Kit.

Setting to zero the partial differentiation of this approximate log-likelihood function with respect to CFO yielded the CFO estimate.

It is, however, crucial for future differentiation of the next wave of digital music services".

These changes were more significant at early stages of differentiation: In all cases, the –log (p-value) was greater at day 5 than at day 11.

We examined the correlation between genetic differentiation and the natural log of the minimum DW for each pair of independent genetic populations.

They then took partial differentiations of this approximate log-likelihood function respectively with respect to CIR and CFO to obtain a set of gradients and set them to equal zeros thus establishing a system of simultaneous equations in terms of CIR and CFO (Note that, for frequency-selective channels, the CIR is actually a multi-dimensional vector whose dimension equals the channel length).