Additionally, more complex functions incorporating step-down regulation become realizable.
That means that the accuracy of statistical studies such as these will be improved and that further parametrization of the model parameters, e.g., in terms of the IMF and seasons, will become more realizable.
That those higher wages were paid during the 1950s mostly to American men is a key part of that vision - for if wages for working men were to rise substantially, the patriarchal vision of marriage and family that conservative Christians tend to favor would also become more realizable.
Our aim is to see whether appropriate parameters θ and γ exist such that the linear least mean squares estimator becomes automatically physically realizable.
It can be shown that u 2 ¯, which by definition is a positive quantity, become negative (non-realizable), when the strain is large enough to satisfy k ε ∂ U ∂ x > 1 3 C μ ≈ 3.7.
The closure is only well-defined on the set of moments that are realizable from a positive underlying distribution, and as the boundary of the realizable set is approached, the dual problem becomes increasingly difficult to solve due to ill-conditioning of the Hessian matrix.
But dreams always become more realistic and realizable when they are expressed.
Proof Let μ k = λ k, ω k = -λ2m+2 - k, p k = 2, k = 1,..., m, ωm+1= s, pm+1= 1, then all the conditions of Theorem 3 are satisfied and Λ is realizable by the row stochastic matrix M defined in (9) by Theorem 3. In the case of Theorem 4, the matrix in (9) becomes the matrix in (13).
In the case when p1,..., p m are all equal to 2, Λ becomes a list of 2m + 1 real numbers for any positive integer m, and our result gives sufficient conditions for a list of 2m + 1 real numbers to be realizable by a row stochastic matrix.
