We investigated in detail the permeation selectivity electro-dialysis of Na+, K+, Mg2+ and Ca2+ both binary quaternary mixtures using a supported liquid membrane (SLM). The SLM consisted organic 2-nitrophenyl octyl ether (NPOE) containing lipophilic anion, i.e. tetrakis[3,5-bis(trifluoromethyl)phenyl]borate, as cation-exchanging site, which was used to fill pores supporting AccurelR. first dete...

Let H ∈ Cn×n be an n × n unitary upper Hessenberg matrix whose subdiagonal elements are all positive. Partition H as H = H11 H12 H21 H22 , (0.1) where H11 is its k×k leading principal submatrix; H22 is the complementary matrix of H11. In this paper, H is constructed uniquely when its eigenvalues and the eigenvalues of b H11 and b H22 are known. Here b H11 and b H22 are rank-one modifications of...

We show that there are relationships between a generalized Lucas sequence and the permanent and determinant of some Hessenberg matrices.

Moisture determination is of great importance in the production and use of many substances. For example, the moisture content can affect the efficiency of a chemical reaction or determine the shelf life of pharmaceuticals or foods. The standard method for moisture determination is Karl Fischer (KF) titration, based on either volumetry or coulometry. This thesis concerns new approaches to trace ...

each part of karl rahner’s theology is in deep relation to his understanding of human situation. he believes that god has communicated himself with man. this self-offering of god to human needs a response from man. such an existential part has certain effects on the concrete human life and seeks its true and ultimate realization. this attitude to human leads to transcendental christology. chris...

Various strategies have been proposed for arriving at block algorithms for reducing a general matrix to Hessenberg form by means of orthogonal similarity transformations. This paper reviews and systematicallycategorizes the various strategies and discusses their computational characteristics.

The convergence in L( ) of the even approximants of the Wall continued fractions is extended to Cesàro–Nevai’s class CN, which is defined as the class of probability measures σ with lim n→∞ 1 n n−1 k=0 |ak| = 0, {an}n≥0 being the Geronimus parameters of σ. We show that CN contains universal measures, that is, probability measures for which the sequence {|φn|dσ}n≥0 is dense in the set of all pro...

We introduce a simplicial pseudo-random version of lattice gauge theory. In this formulation it is possible to interpolate continuously between a regular simplicial lattice and a pseudo-random lattice. Using this method, we study -a simple three dimensional Abelian lattice gauge theory. Calculating average plaquette expectation values, we find an extremum of the action for our regular simplicia...

Let P (m,n) denote the maximum permanent of an n-by-n lower Hessenberg (0, 1)-matrix with m entries equal to 1. A “staircased” structure for some matrices achieving this maximum is obtained, and recursive formulas for computing P (m,n) are given. This structure and results about permanents are used to determine the exact values of P (m,n) for n ≤ m ≤ 8n/3 and for all nnz(Hn) − nnz(Hbn/2c) ≤ m ≤...

0