Sentence examples for derive in the from inspiring English sources

This requires knowledge of the analytic expression for the discrete asymptotic CA vector, which we derive in the following.

Another important reason is that we can find exact results for radially symmetric piecewise constant case, which are impossible to derive in the general case.

Based on this common structure, we derive in the following section a general result for the marginal distribution of each ordered eigenvalue.

Analogously, we derive in the following theorem the eigenvalues and eigenfunctions of SFSLP3 (21 - 22 21 - 22p_{3}(x) = x^{1-alpha}e^{-x}) and (omega_{3}^{(alpha)}(x) = x^{alpha-1}e^{x}).

Specifically, in the least productive jobs (where the technology parameter is a j  = 0.1), the utility that women derive from only the tied-salary/hours package is −858.06 (=S + ξ f ϕ(H)) (which is almost equivalent to the utility women derive in the baseline case, −858.08), but the actual utility that women receive is higher because v f  = S + ξ f ϕ(H) − d EE  = − 664.32.

Measures of this kind are functions of probability values that derive, in the classical case [5], [12], from a graph invariant and an equivalence relation [11], [12], [20].

This feature, however, was independently derived in the lycopsid lineage.

The public is entitled to have a proper explanation derived, in the last resort, from competing tenders.

Western speculation concerning the meaning of history derived in the first instance chiefly from theological sources.

The genotype equilibrium frequencies for any number of alleles are derived in the same way.

"Some people are tempted to think that most of the important results were derived in the past decade or two," Dr. Abt wrote in the introduction to the volume.