At issue was whether infants would anticipate the side to which the test objects would move and whether their expectations varied as a function of naming condition.
Using the law of total expectation, we can obtain an expression for the expectation E[ H1, g] as a function of conditional expectations for different possible pairs of parents Y for a random individual in population H at generation g: (6) E [ H 1, g ] = E Y [ E [ H 1, g | Y ] ] = ∑ y ∈ { S 1 S 1 S 1 H S 1 S 2 H H S 2 H S 2 S 2 } P (Y = y ) E [ H 1, g | Y = y ].
Monte Carlo simulation method [18] gives accurate solution since these probabilities can be expressed as expectations of a function of a random variable governed by a given probability distribution.
For example, Figure 4 illustrates the distribution of contigs with BLASTX matches to the high G+C bacterial order Actinomycetales at an expectation of 10-8, plotted as a function of length and G+C content of contigs.
The bounce that candidates receive in the polls after a primary or caucus is typically as much a function of exceeding expectations as their actual performance.
The expectation of a function of random variables can be modeled as the value of the function in the mean value of the variables plus a penalty term.
Since the volume and the tone of media coverage is as much a function of the media's expectations as objective measures of performance, that could contribute to somewhat negative coverage for Mr. Santorum in South Carolina when he instead needs to make up ground there.
This criterion represents the mathematical expectation of the true positive fraction (TPF) as a function of the mathematical expectation of the false positive fraction (FPF).
To characterise the full distribution of escape times is difficult in general, but the expectation of the escape time as a function of initial condition can be calculated as: E [ τ x ] = u ( x ), where the function, u(x), is the solution to Dynkin's equation [23]: M [ a, B ] u ( x ) = - 1, x ∈ Ω u ( x ) = 0, x ∈ ∂ Ω, (7).
