Swords were kept in sheaths, some of which, depending on status, were very ornate.
Instead, businesses are forced to beg for a hodgepodge of handouts, each of which depends less on what the companies have to offer in terms of jobs or revenue than on which bigwigs they know in Albany.
Piaget (1926) accustomed us to thinking about cognitive development in terms of a series of steps, each of which depends on the completion of prior steps.
This complexity stems from the fact that brewing of coffee is achieved through a wide variety of techniques each of which depends on a large number of process variables.
This probably corresponds to defining social welfare by an additively separable social welfare function, with diminishing marginal social utility (a social welfare function is additively separable when it is the sum of separate terms, each of which depends only on one individual's well-being).
and substitute it into Equation (3) hence rendering the two Equations (1) and (3), each of which depends on both Ts and Tf, into separate equations for Ts and Tf, respectively, in the form: τ q ∂ 2 T i ∂ t * 2 + ∂ T i ∂ t * = α e [ 1 r * ∂ ∂ r * ( r * ∂ T i ∂ r * ) + τ T r * ∂ ∂ r * ( r * ∂ 2 T i ∂ r * ∂ t * ) ] for i = s, f (7).
There is overlap between network functions, each of which depend on differing primary neurotransmitters.
These can be divided into temporally sequential processes, each of which depends on a different function of β-catenin.
This is because each data point used to compute d becomes the binary result of a hypothesis test, each of which depends critically on sample size and test specificity.
We then use our theoretical model of PMM score distributions to compute the equivalent (theoretical) values Q T (s, b) and C T (s, b), each of which depends on an assumed number of true binding sites, b.
This is because the likelihood function used as the basis for most scoring metrics can be decomposed into a product of terms, each of which depends only on a variable's parents and the conditional probability parameters.
