For n ⩾ 2 $n\geqslant 2$ , we determine the Dirichlet spectrum in R $\mathbb {R}^n$ with respect to a linear form and maximum norm as entire interval [0, 1]. This natural result improves on recent work of Beresnevich et al. complements subsequent paper by authors where analogous was proved for simultaneous approximation. Various generalizations that can be obtained similar methods latter are in...

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...

in this paper, a new and ecient approach is applied for numerical approximationof the linear dierential equations with variable coecients based on operational matriceswith respect to hermite polynomials. explicit formulae which express the hermite expansioncoecients for the moments of derivatives of any dierentiable function in terms of theoriginal expansion coecients of the function itse...