A new definition of boundedness of linear order-homomorphisms (LOH)in $L$-topological vector spaces is proposed. The new definition iscompared with the previous one given by Fang [The continuity offuzzy linear order-homomorphism, J. Fuzzy Math. 5 (4) (1997)829$-$838]. In addition, the relationship between boundedness andcontinuity of LOHs is discussed. Finally, a new uniform boundednessprincipl...

For any linear quotient of a sphere, X = Sn−1/Γ, where Γ is an elementary abelian p–group, there is a corresponding Fp representable matroidMX which only depends on the isometry class ofX.When p is 2 or 3 this correspondence induces a bijection between isometry classes of linear quotients of spheres by elementary abelian p–groups, and matroids representable over Fp. Not only do the matroids giv...

uniform linear array (ula)-based tapped-delay line (tdl) structure has good performance metrics when the signal sources are located at the middle angles. it offers poor performance when the signal sources are close to the array endfire. in this paper, a new approach is proposed which offers higher performance and desired beamforming on tdl structure when the wideband uncorrelated radio sources ...

The MacWilliams Extension Theorem states that each linear isometry of a linear code extends to a monomial map. Unlike the linear codes, in general, additive codes do not have the extension property. In this paper, an analogue of the extension theorem for additive codes in the case of additive MDS codes is proved. More precisely, it is shown that for almost all additive MDS codes their additive ...

This is an elaboration of a talk held at the workshop on the standard model of particle physics in Hesselberg, March 1999. You may think of a real structure on a spectral triple as a generalisation of the charge conjugation operator acting on spinors over an even dimensional manifold. The charge conjugation operator is, in fact, an important example and will be treated in detail below. The foll...

Abstract We introduce and study non-uniform expansions of real numbers, given by two non-integer bases.

We consider linear operator equations Lf = g in the context of boundary element methods, where the operator L is equivariant i.e., commutes with the actions of a given finite symmetry group. By introducing a generalization of Reynolds projectors, we construct a decomposition of the identity operator, which in turn allows us to decompose the problem Lf = g into a finite number of symmetric subpr...

We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such that the isometry group of the universal cover has semisimple identity component, then the local isometry orbits in M are roughly fibers of a fiber bundle. A corollary is that if M has an open, dense, locally homogeneous...