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Effective doses are computed by summing functions of yearly exposure.
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This is determined by summing the products of mass functions of all sets where the intersection is an empty set.
Assuming independence of neuronal responses, the pool's response was then found by summing the logarithmized likelihood functions of all pool members.
The log-likelihood function of the whole population was then calculated by summing the contributions of individual neurons.
We define a global "cost function" representative of the landscape to be simulated by summing the "pair function" that expresses the interactions between units for the whole landscape.
Specifically, level of Activities of Daily Living (ADL) Impairment was determined by summing the observed physical function ratings in each of 5 ADLs (Eating, Toileting, Bathing, Dressing and Transferring) examined in the MDS.
In practice, these functions can be approximated by sums of functions that are easy to compute, such as polynomials.
For simplicity of the calculations we combine the two objective functions by summing them.
We then calculate the estimated mean value for the cognitive test as a function of covariates by summing up the scores multiplied by their probabilities (Hannah and Quigley, 1996).
Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and derive their Fourier series expansions.
Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and we obtain some new identities arising from Fourier series expansions associated with sums of products of higher-order Bernoulli functions.
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