Based on two higher-dimensional extensions of Lie algebras, three kinds of specific Lie algebras are introduced. Upon constructing proper loop algebras, six isospectral matrix spectral problems are presented and they yield nonlinear integrable couplings of the AblowitzKaup-Newell-Segur hierarchy, the Broer-Kaup hierarchy and the Kaup-Newell hierarchy. Especially, the reduced cases of the result...

We consider two Lax systems for the homogeneous Painlevé II equation: one of size 2×2 studied by Flaschka and Newell in the early 1980s, and one of size 4×4 introduced by Delvaux, Kuijlaars, and Zhang and Duits and Geudens in the early 2010s. We prove that solutions to the 4×4 system can be derived from those to the 2 × 2 system via an integral transform, and consequently relate the Stokes mult...

distribution of urea in the ocean and the An automated method for the determination use of 15N-labeled urea enrichment techof urea in seawater, adapted to a Technicon AutoAnalyzer, is sensitive enough to detect niques require a method that is rapid, urea at the 0.05 pg-atom urea-N liter-l level. sensitive, and convenient for use at sea. An adaptation of the diacetyl monoxime The importance of u...

Alan Newell famously asserted that "You can't play 20 questions with nature and win" (Newell, A. (1973). You can't play 20 questions with nature and win. In W.G. Chase (Ed.), Visual information processing. New York: Academic Press.), and specifically focused on the futility of studying binary distinctions. However, the distinction between categorical and coordinate spatial relations representat...

Two integrable counterparts of the D-Kaup–Newell soliton hierarchy are constructed from a matrix spectral problem associated with the three dimensional special orthogonal Lie algebra soð3;RÞ. An application of the trace identity presents Hamiltonian or quasiHamiltonian structures of the resulting counterpart soliton hierarchies, thereby showing their Liouville integrability, i.e., the existence...

Newell (1980; 1990) proposed that cognitive theories be developed in an effort to satisfy multiple criteria and to avoid theoretical myopia. He provided two overlapping lists of 13 criteria that the human cognitive architecture would have to satisfy in order to be functional. We have distilled these into 12 criteria: flexible behavior, real-time performance, adaptive behavior, vast knowledge ba...

Newell (1980, 1990) proposed that cognitive theories be developed trying to satisfy multiple criteria to avoid theoretical myopia. He provided two overlapping lists of 13 criteria that the human cognitive architecture would have to satisfy to be functional. We have distilled these into 12: flexible behavior, real-time performance, adaptive behavior, vast knowledge base, dynamic behavior, knowle...

An equation to describe nearly 1D traveling-waves patterns is put forward in the form of a dispersive generalization of the Newell-Whitehead-Segel equation. Transverse stability of plane waves is shown to be drastically altered by the dispersion. A necessary transverse Benjamin-Feir stability condition is obtained. If it is met, a quarter of the plane-wave existence band is unstable, while thre...