Traditionally, radiant enclosures have been designed using a forward " trial-and-error " methodology. Recently, however, inverse and optimization methodologies have been applied to design radiant enclosures. Both of these methodologies solve the design problem faster, and the quality of the solutions is usually better than those obtained through the forward design methodology. This paper presen...

The aim of the present paper is to study distributions of singular points of a zeta function which is expressed by an Euler product and is analytically continued as a meromorphic function of finite order. In this manuscript, we give a relation between the growth of the multiplicities for the norms of primitive elements and the order of the zeta function as a meromorphic function.

will be employed in the analysis of the principle properties of the collocation approximations; the extension to nonlinear equations is straightforward (cf. [1, p. 225]). High-order numerical methods for VIDEs with weakly singular kernels may be found in [1,2,6,7,8]. In this note we shall consider collocation methods for VIDE (1.1), based on Brunner's approach [1]. The following method and nota...

Consider the empirical spectral distribution of complex random n×n matrix whose entries are independent and identically distributed random variables with mean zero and variance 1/n. In this paper, via applying potential theory in the complex plane and analyzing extreme singular values, we prove that this distribution converges, with probability one, to the uniform distribution over the unit dis...

Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at several frequencies, an imaging functional is introduced and analyzed. A non-iterative imaging procedure is proposed. Numerical experiments from noisy synthetic...

We introduce a new type of local and microlocal asymptotic analysis in algebras of generalized functions, based on the presheaf properties of those algebras and on the properties of their elements with respect to a regularizing parameter. Contrary to the more classical frequential analysis based on the Fourier transform, we can describe a singular asymptotic spectrum which has good properties w...

One of Greenberg’s claims concerning the appearance of numerals as modifiers concerns the order of the elements, suggesting that post-nominal numerals are “favored in indefinite and approximate constructions”. Examining a small but representative body of data from a variety of languages, and one of the common grammaticalisation targets of singular numerals, the indefinite article, we conclude t...

A study of the origin of structures in the energy dependence of electron bremsstrahlung is presented. There is a similarity between classical and quantum results. In the quantum case a connection between zeroes of dipole matrix elements and structures in the bremsstrahlung cross section and asymmetry parameter is established. In the classical case it is found that classical trapping, which resu...

Consider the empirical spectral distribution of complex random n×n matrix whose entries are independent and identically distributed random variables with mean zero and variance 1/n. In this paper, via applying potential theory in the complex plane and analyzing extreme singular values, we prove that this distribution converges, with probability one, to the uniform distribution over the unit dis...

Let A be a strong independence algebra of finite rank with at most one constant, and let G be the group of automorphisms of A. Let α be a singular endomorphism of A and α = 〈{α} ∪G〉. We describe the elements of α and give additional characterisations when A is a proper independence algebra and G is a periodic group. Mathematics subject classification: 20M20, 20M10, 08A35.