Trans-floating-point arithmetic removes nine quadrillion redundancies from 64-bit IEEE 754 floating-point arithmetic

IEEE 754 floating-point arithmetic is widely used in modern, general-purpose computers. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. Modifying the IEEE arithmetic so that it uses transreal arithmetic has a number of advantages. It removes one redundant binade from IEEE floating-point objects, doubling the numerical precision of the arithmetic. It removes eight redundant, relational,floating-point operations and removes the redundant total order operation. It replaces the non-reflexive, floating-point, equality operator with a reflexive equality operator and it indicates that some of the exceptions may be removed as redundant { subject to issues of backward compatibility and transient future compatibility as programmers migrate to the transreal paradigm.

Orde Wingate and the Theory behind the Chindit Operations: Some Recent Findings

This short paper discusses some of the theory behind the Chindit operations in Burma of 1943-44, drawing parallels between Wingate's theoretical concepts post 1990s concepts of 'manoeuvre warfare.'

MI(R,)G(R) and British Covert Operations, 1939-42

The Military Intelligence (Research) Department of the British War Office was tasked in 1940 with encouraging and supporting armed resistance in occupied Europe and the Axis-controlled Middle East. The major contention of this paper is that, in doing so, MI(R) performed a key role in British strategy in 1940-42 and in the development of what are now known as covert operations. MI(R) developed an organic, but coherent doctrine for such activity which was influential upon the Special Operations Executive (SOE) and its own sub-branch, G(R), which applied this doctrine in practice in East Africa and the Middle East in 1940-41. It was also here that a number of key figures in the development of covert operations and special forces first cut their teeth, the most notable being Major Generals Colin Gubbins and Orde Wingate.

Well-posed boundary value problems for integrable evolution equations on a finite interval

We consider boundary value problems posed on an interval [0,L] for an arbitrary linear evolution equation in one space dimension with spatial derivatives of order n. We characterize a class of such problems that admit a unique solution and are well posed in this sense. Such well-posed boundary value problems are obtained by prescribing N conditions at x=0 and n–N conditions at x=L, where N depends on n and on the sign of the highest-degree coefficient n in the dispersion relation of the equation. For the problems in this class, we give a spectrally decomposed integral representation of the solution; moreover, we show that these are the only problems that admit such a representation. These results can be used to establish the well-posedness, at least locally in time, of some physically relevant nonlinear evolution equations in one space dimension.

A parametric model for the interval censored survival times of Acacia mangium plantation in a spacing trial

Survival times for the Acacia mangium plantation in the Segaliud Lokan Project, Sabah, East Malaysia were analysed based on 20 permanent sample plots (PSPs) established in 1988 as a spacing experiment. The PSPs were established following a complete randomized block design with five levels of spacing randomly assigned to units within four blocks at different sites. The survival times of trees in years are of interest. Since the inventories were only conducted annually, the actual survival time for each tree was not observed. Hence, the data set comprises censored survival times. Initial analysis of the survival of the Acacia mangium plantation suggested there is block by spacing interaction; a Weibull model gives a reasonable fit to the replicate survival times within each PSP; but a standard Weibull regression model is inappropriate because the shape parameter differs between PSPs. In this paper we investigate the form of the non-constant Weibull shape parameter. Parsimonious models for the Weibull survival times have been derived using maximum likelihood methods. The factor selection for the parameters is based on a backward elimination procedure. The models are compared using likelihood ratio statistics. The results suggest that both Weibull parameters depend on spacing and block.

International construction and Brazilian contractors’ operations

The international construction market is very complex, and requires strong structure and strategy for companies wanting to operate overseas. This article investigates characteristics of international construction. The international operation of Brazilian contractors is explored via results from a qualitative study which was carried out using case studies. The case studies comprised ten big Brazilian contractors, six of which operate abroad. The study identified the patterns of international operation, the competitive advantages of these contractors, as well as the difficulties faced by them in the international construction market. Four of the contractors studied operate only in the domestic market. The study of these cases revealed both obstacles and motivations for future international operations. The study revealed that despite the existing competitive advantages, Brazilian contractors' presence in the international market is limited. The main reason for that is probably their main competitive disadvantage: the lack of financial support from the government.