Sentence examples for by using the chain from inspiring English sources

By using the chain rule, the formulas in (3.1) are obtained by direct computation, see [[25], p.129].

By using the chain rule of entropy, above function can be translated into: H X X, Y ) = H X X ) + H ( Y | X ) = H ( Y ) + H X X | Y ) (20).

Based on the relationship between the defect region and the boundary, it is convenient to follow up the measurement by using the chain code to track the contour information [23].

We first obtain by using the chain rule begin{aligned} J'(q) (delta q) =& bigl gbigl u q bigr bigr)'( delta q)+h'(q) (delta q) =& int_{Omega}g'bigl u q bigr)u'(q) (delta q), mathrm{d}x, mathrm {d}t+int_{Omega}h'(q) delta q, mathrm{d}x, mathrm{d}t.

BN decomposes the joint probability of genes into a product of conditional probabilities by using the chain rule and independence of non-descendant genes, given their parents where x = (x1, x2,...., x n ), the conditional probability of gene expression x i given its parents a i is p(x i | a i, θ i ), and θ i denotes the parameters of the conditional probabilities.

It is important to note that while some claim the Chained CPI more accurately calculates inflation, this is likely not the case for seniors, who would be directly affected by using the Chained CPI to calculate Social Security's cost-of-living adjustments.

This study attempts to accurately predict the current MB's mode by using the Markov chain.

Next, the mode must be predicted by using the Markov chain.

The average run length of the control scheme is computed by using the Markov chain approach.

We give the proof of convergence by using the Markov chain model.

Then, by using the Markov chain, the node would predict the time when the packet copies reached the equilibrium point.