Sentence examples for equation for the expectation from inspiring English sources
With the zero-covariance assumption, one can substitute (32) back into the equation for the expectation for each species, which yields (33) d d t E X s (t ) = ∑ r = 1 N r v r s k r Φ 1 - F s ∏ s = 1 N s μ s f r s for every s = 1,..., N s.
The mean-field approximation truncates this hierarchy of dependencies into a closed system of equations for the expectations ⟨ n⟩.
According to the master equation (7), we can obtain the equation of motion for the expectation value of any physical operator O of the coupled system by calculating Ȯ ( t ) = Tr [ O ρ · ( t ) ].
The regression equation for the models predicting the expectation of the logarithm of weekly GBS hospitalizations, Y, was where δy represents the coefficients for each year (y), S t) represents a smooth function of season (comprising 6 harmonics), and φ (holiday) is a term representing weeks with public holidays.
An issue arises from the statement in equation 2, which is required for the expectation of the score statistic U i to be equal to 0. This result implicitly assumes that the CNV intensity is linear with the discrete CNV genotype call.
Algebraic equations are obtained for the expectations of some suitable excitation and response quantities.
We use the basic equation for conditional expectations, i.e. E ( X ) = E ( E [ X | Y ] ), (6).
The recursion for the expectation of the autosomal fraction of admixture, Equations 17 and 19, is equivalent to that derived by Verdu and Rosenberg (2011).
