Sentence examples for applying the expectation from inspiring English sources

Finally, applying the expectation operator, (mathbb {E} left lbrace.right rbrace ), to (23) concludes the proof.

Some missing environmental data were extrapolated by applying the expectation maximum likelihood algorithm implemented in Primer 7 (1000 iterations, minimum value change: 10−6).

Applying the expectation operator to the last equation, we get E_{n}^{g}=E_{n-1}^{g}+ biggl 2-frac{4sqrt{2}}{3}biggl 2-frac{4sqrt{2}rac{8sqrt{2}{{3}biggr p,quad mbox{for }nge2.

Applying the expectation operator to the last equation, we get E_{n}^{a}=E_{n-1}^{a}+ biggl(frac{sqrt{6}}{4}-frac{sqrt{2}}{2}biggr p_{1}+3sqrt {2}quad mbox{for }nge2.

applying the expectation operator as in (54), an approximated result can be obtained as given below ([18], Equation 6) C erg = 1 2 log 2 ( e ) ln ( 1 + E [ γ e ] ) − E [ γ e 2 ] − E [ γ e ] 2 2 ( 1 + E [ γ e ] ) 2 (53).

By applying the expectation into both sides of (23), we obtain Eleft{{leftVert tilde{mathbf{w}}left k+1right)rightVert}_{boldsymbol{Phi}}^2right}=Eleft{{leftVert tilde{mathbf{w}} k)rightVert}_{boldsymbol{Psi}}^2right}+{mu}^2Eleft{{mathbf{v}}^T k mathbf{Y} k boldsymbol{v} k)right} (26).

We see the world by applying the expectations generated by the statistical lens of our own past experience, and not (mostly) by applying the more delicately rose-nuanced lenses of our political and social aspirations.

The methodology is based on the cluster analysis of data applying the Expectation-Maximization algorithm, which allows to figure out individual classes and their characterizing statistical parameters by fitting a Gaussian Mixture Model.

We selected three additional polymorphisms along the gene from those described by Curran et al [ 3] in order to analyze the haplotypes inferred by applying the Expectation-Maximization algorithm implemented in the Arlequin software.

We take the weighted norm of (14) and then apply the expectation operator to both of its sides.

Although any E.U. member state or associated country can apply, the expectation is that PSF will be most in demand in Eastern and Southern Europe, where science is often struggling.