Using the relation established by Johnson–Zumbrun between Hill’s method of aproximating spectra of periodic-coefficient ordinary differential operators and a generalized periodic Evans function given by the 2-modified characteristic Fredholm determinant of an associated Birman–Schwinger system, together with a Volterra integral computation introduced by Gesztesy–Makarov, we give an explicit con...

In this paper we give a complete solution to the conjecture of Evans made in 1960 that if n— 1 cells of an nxn matrix are preassigned with no element repeated in any row or column then the remaining n — n+ 1 cells can be filled so as to produce a latin square. We in fact prove the stronger statement that n cells can be preassigned except in certain cases which we specify.

One of the most important tools utilized by the marketing research industry is the consumer survey. This self-reported data is the foundation of many currently applied methodologies for measuring the success of marketing campaigns and strategies (Evans & Mathur 2005). As such, suppliers in the marketing research industry rely on the engagement and attentiveness of the individuals who participat...

A new theoretical Evans function condition is used as the basis of a numerical test of viscous shock wave stability. Accuracy of the method is demonstrated through comparison against exact solutions, a convergence study, and evaluation of approximate error equations. Robustness is demonstrated by applying the method to waves for which no current analytic results apply (highly nonlinear waves fr...

This paper presents a parallel algorithm for the solution of linear systems and determinant evaluation suitable for use on the proposed parallel computers of the future. The new method can be considered as extending the novel matrix factorisation strategies introduced by Evans and Hatzopoulos [l] and Evans and Hadjidimos [2] in which quadrant interlocking factors are considered instead of the m...

Close-arterial infusion of test substances allows one to study the responses of a selected vascular bed without inducing confounding systemic effects. Unfortunately, laminar flow patterns within the artery cause streaming of the injected factor, so that distribution within the target organ is not homogeneous. We describe a reliable method of overcoming these problems. Specifically, we attach a ...

The vital staining properties of rose cultures (Rosa cv Paul's Scarlet) of increasing age were compared with their ability to be subcultured. At 4-day intervals beginning on day 14, after cell division and expansion had stopped, cells were stained separately with Evans blue, fluorescein diacetate, and phenosafranine. The degree to which parent cultures stained with each of these dyes was compar...

The methods at present available for the determination of the dye, Evans blue, in plasma have certain disadvantages. Direct colorimetry of dyed plasma is inapplicable where the plasma is haemolyzed, turbid or lipaemic. The butanol extraction procedure of Harington, Pochin & Squire (1940) is troublesome and time-consuming where many analyses must be carried out; its accuracy is lower than those ...