Sentence examples for unknown components of the from inspiring English sources

More generally, depending on the value of a hidden latent process at the same time, the unknown components of the linear mixture are assumed either mutually independent or dependent.

(33) Thus equation (33) generates a set of ((N+1)) linear equations which can be solved for the unknown components of the vector C, and hence the approximate spectral solution (u_{N}(x)) given in (29) can be obtained.

Putting (2.31) into (2.33), we have Q_{0}^u(0)=bar{bar{U}}_{0}bigl(bar{bar{{ boldsymbol{gamma}}}}(sigma),p_{0}-bar{bar{alpha}}(sigma) bigr), (2.36) which represents a system of k scalar equations in the k unknown components of the vector (bar{bar{boldsymbol{gamma}}}(sigma)).

Bayesian inference on the unknown components of the blind image deconvolution problem is based on the estimation of the unknown posterior distribution p α,β,γ,x,h∣y), given by p ( α, β, γ, x, h ∣ y ) = p ( α, β, γ, x, h, y ) p ( y ).

end{aligned} (31)Thus, Eq. (31) generates a set of ((N+1)) linear equations which can be solved for the unknown components of the vector ({varvec{C}}), and hence the approximate spectral solution (y_{N}(x)) given in (9) can be obtained.

The limit process involved is complex because of appearance of a "boundary layer" in the limiting case considered; this boundary layer occurs near the origin in the Fourier space used to determine the unknown components of the fundamental kernel looked for.

Mr. Leitenberg, who does not know what the new virus is -- if indeed it is a virus and not a bacterial agent -- said in an interview that accumulating evidence of the previously unknown component of the Iraqi germ warfare program suggests that Hans Blix, the new chief inspector for Iraq, may want to give priority to biological weapons.

As an equally important dividend, science gains in basic and applied terms, as illustrated herein by the demonstration of a trans-year, an ~1.3 to 1.6-year, heretofore unknown component of the human BP and HR spectrum, beating with the circannual component and characterizing the same data.

Thus, PAX1 is likely to be a previously unknown component of the Aux/IAA regulatory network.

The identification of the precise target (which could be a previously known or unknown component of the pathway) requires a purpose-designed deconvolution strategy [ 9].

It is therefore unclear whether the SCFSlmb complex directly ubiquitylates either protein to target it for degradation or whether it targets another, unknown component of the complex that is required for the stability of Par-6 and aPKC.