NORMAL EQUATIONS Brett Ninness Håkan Hjalmarsson Dept. of Elec. & Comp. Eng, Uni. Newcastle, Australia. email:[email protected], FAX: +61 2 49 21 69 93 Dept. Sensors, Signals & Systems, Royal Inst. Technology, S-100 44 Stockholm, Sweden. email:[email protected], FAX: +46 8 790 7329 Abstract: There has been recent interest in using orthonormalised forms of fixed denominator m...

On the bases of the improved approximation for the spectral function of oneparticle states the Landau-Silin kinetic equations for the normal Fermi liquids of neutral and electrically charged particles are shown to be valid at finite temperature above the temperature of superfluid transition.

We give an explicit formula for the local normal zeta functions of torsion-free, class-2-nilpotent groups at primes p where the associated Pfaffian hypersurface has good reduction mod p and contains no lines. We show how together the functional equations of two types of zeta functions the Weil zeta function associated to an algebraic variety and zeta functions of algebraic groups introduced by ...

Abstract. Consider a height two ideal, I, which is minimally generated by m homogeneous forms of degree d in the polynomial ring R = k[x, y]. Suppose that one column in the homogeneous presenting matrix φ of I has entries of degree n and all of the other entries of φ are linear. We identify an explicit generating set for the ideal A which defines the Rees algebra R = R[It]; so R = S/A for the p...

In continuing joint work with Walter Neumann, we consider the relationship between three different points of view in describing a (germ of a) complex normal surface singularity. The explicit equations of a singularity allow one to talk about hypersurfaces, complete intersections, weighted homogeneity, Hilbert function, etc. The geometry of the singularity could involve analytic aspects of a goo...

Given a nonstationary trajectory of the Navier–Stokes system, a finitedimensional feedback boundary controller stabilizing locally the system to the given solution is constructed. Moreover the controller is supported in a given open subset of the boundary of the domain containing the fluid and acts normal to the boundary. In a first step a controller is constructed that stabilizes the linear Os...

A vital extension to partial least squares (PLS) path modeling is introduced: consistency. While maintaining all the strengths of PLS, the consistent version provides two key improvements. Path coefficients, parameters of simultaneous equations, construct correlations, and indicator loadings are estimated consistently. The global goodness-of-fit of the structural model can also now be assessed,...

We read with interest the study by Nair and colleagues in a recent issue of this Journal 0). The authors have derived regression equations for the prediction of normal lung functions in south Indian children. However, they have not addressed the key issue of the ability of these equations to correctly predict normal values for various parameters. The square of the correlation coefficient (r"), ...

In this paper, we describe a methodology for mapping normal linear recurrence equations onto a spectrum of systolic architectures. First, we provide a method to map a system of directed recurrence equations, a subclass of linear recurrence equations, onto a very general architecture referred to as basic systolic architecture and establish correctness of the implementation. We also show how eeci...