0. Introduction The status of functional categories in early child language has been a subject of debate for much of the last decade (Hyams 1986, Radford 1990, Platzack 1992, Rizzi 1993, Wexler 1994). In general, proponents of the ‘No Functional Categories’ position claim that production data from early child language clearly demonstrates that the differences between child language and adult la...

This paper proposes a new method of dual-Doppler radar analysis based on a variational approach. In it, a cost function, defined as the distance between the analysis and the observations at the data points, is minimized through a limited memory, quasi-Newton conjugate gradient algorithm with the mass continuity equation imposed as a weak constraint. The analysis is performed in Cartesian space....

This paper considers questions about continuity and discontinuity between life and mind. It begins by examining such questions from the perspective of the free energy principle (FEP). The FEP is becoming increasingly influential in neuroscience and cognitive science. It says that organisms act to maintain themselves in their expected biological and cognitive states, and that they can do so only...

In this paper we study the dependence of the Lidstone eigenvalues λm(q) , m ∈ N , of the fourth-order beam equation on potentials q ∈ Lp[0,1] , 1 p ∞ . The first result is that λm(q) have a strongly continuous dependence on potentials, i.e., as nonlinear functionals, λm(q) are continuous in q ∈ Lp[0,1] when the weak topology is considered. The second result is that λm(q) are continuously Fréche...

This paper concerns the smoothness of Tauberian constants of maximal operators in the discrete and ergodic settings. In particular, we define the discrete strong maximal operator M̃S on Z by M̃Sf(m) := sup 0∈R⊂Rn 1 #(R ∩ Zn) ∑ j∈R∩Zn |f(m+ j)|, m ∈ Z, where the supremum is taken over all open rectangles in R containing the origin whose sides are parallel to the coordinate axes. We show that the a...