In addition, an activation likelihood estimation (ALE) meta-analysis of the paired associates literature revealed that a higher degree of concordance was obtained when using the Lancaster transform in the form of fewer, smaller, and more intense clusters.
Under Assumptions 1 – 3 and (10), the family of vector fields (3) can be locally transformed in the following normal form near (F^): begin{aligned} x' &= varepsilon bigl cy - sigma x -a + Obigl(x^{2},xy{3},varepsilonlon y^{2}bigr) bigr), y' &= y^{2}-x + beta y^{3} + O bigl y^{4}bigr), end{aligned} (15) where (sigma=pm1), (sigma cgeq0) and (betaneq0).
We address the problem of adaptive observer design for nonlinear time-varying systems which can be transformed in the so-called output feedback form (linear in the unmeasured variables).
Let us express the DSN in the transformed system in the form ψ s, n 1, n 2 B ( q 1, q 2, t ) = ψ s, n 1 B ( q 1, t ) ψ s, n 2 B ( q 2, t ), (33).
Therefore, the mathematical model is transformed in a form containing all measurable variables.
A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described.
The problem is successfully transformed in self-similar form in Section Description of the problem for both γAl2O3 H2O and γAl2O3 C2H6O2.
Eggert et al. have compared four popular algorithms [24], each of which compute the translational and rotational components of the transform in closed form, as the solution to a least squares error criterion given by Equation 3.
We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the dual compact case.
