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Based on the definitions of poor data, an unascertained model and four axioms, condition functions and range etc. were analyzed then induced second‐order condition function, complemental condition function, connection function and the rule set of some signs concludes with the forecast method, which consists of four theorems and ten inferences, in the condition of data number m (m≥2) in Rⁿ.

Provides a glossary of some (around 150) English‐French and French‐English building and surveying terms. References the Technical help to Exporters service, and three specialist dictionaries dealing with architectural, real estate and building terms. Illustrates possible pitfalls of poor translation – ′hydraulic rams′ being translated in one firm′s technical literature as ′watery sheep.′

Based on some of the results and definitions provided in the paper “system linkage: structural functions and hierarchies” and adding new definitions that are in keeping with the spirit of the same paper, new results have been obtained that explore the utility of the structural input‐output function.

Our approach is based principally on the application of graph theory to the study of relationships between variables using specific set theory concepts.

A result such as the fact that A covers B, for example, can be interpreted in terms of the latter set being formed of direct influences from elements in the former set in relation to one or more than one relationships. Analogously, the invariant set concept may be interpreted as the set maintaining its structure and status, remaining constant with respect to any possible relationships.

From a practical point of view, in the context of the study of networks within an ecosystem, authors (such as Patten et al. and Patten) have demonstrated that indirect effects between the variables of an ecosystem outweigh direct effects. This is the notion that the present authors have borne in mind in order to extend previous results to indirect influences from a discrete perspective.

The papers in this issue were given at the 25th Annual Conference, held at Bristol University from 22nd to 25th September, 1950. Some 230 delegates from the British Isles, the Commonwealth and Europe were welcomed to dinner on Friday evening by Sir Philip Morris, C.B.E., M.A., Vice‐Chancellor of the University, and Lady Morris. No papers were given on Friday evening, Mr. J. E. Wright arranging an informal dance after dinner.

In this paper, the authors prove that the Douglas space of second kind with a generalised form of special (α, β)-metric F, is conformally invariant.

For, the authors have used the notion of conformal transformation and Douglas space.

The authors found some results to show that the Douglas space of second kind with certain (α, β)-metrics such as Randers metric, first approximate Matsumoto metric along with some special (α, β)-metrics, is invariant under a conformal change.

The authors introduced Douglas space of second kind and established conditions under which it can be transformed to a Douglas space of second kind.

Entropy measures of fuzzy events of a set X with a (not necessary finite) positive measure µ defined on a σ‐algebra of subsets of X are studied. Using fuzzy measures and fuzzy integrals, a theorem is presented, which gives a sufficient condition for the existence of entropy measures under a list of reasonable axioms. The result is used to define entropy measures for fuzzy numbers.

Using a generalized translation operator, this study aims to obtain a generalization of Titchmarsh's theorem for the Laguerre–Bessel transform for functions satisfying the ψ-Laguerre–Bessel–Lipschitz condition in the space L²_α (K), where K=0,+∞×0,+∞[.

The author has employed the results developed by Titchmarsh, of reference number [1].

In this paper, an analogous of Titchmarsh's theorem is established for Laguerre–Bessel transform.

To the best of the authors’ findings, at the time of submission of this paper, the results reported are new and interesting.

Developing countries are characterized by gender wage inequality that can be largely attributed to gender-based disparities in education. Education subsidy can be an effective tool for reducing the inequality in human capital formation. However, the parents’ decision in response to the subsidy is a crucial determinant of gendered inequality in schooling and earnings. The paper aims to examine the effects of gender-neutral and gender-specific education subsidy policies on the gendered differences in schooling and earnings.

A three-sector full employment general equilibrium model is developed, where the amount of schooling of children is determined by the intertemporal utility maximizing behaviour of the parents over two periods.

The results indicate that higher gender-neutral education subsidy may raise the amount of schooling of boys more than girls and aggravate the schooling inequality in a society with traditional gender norms; the effect on earning inequality depends on the relative gendered returns to education and the marginal effects of the subsidy on relative schooling levels. However, gender-specific subsidy policies raise female schooling, thereby narrowing gender-based schooling and are likely to favourably affect the earning inequality.

The paper tries to analyse the linkage between education and labour market within a gender dimension. On the one hand, it tries to explain parental schooling decision due to gender-neutral and gender-specific education subsidies, and on the other, it examines the effects of these two subsidy policies on gendered schooling inequality and gender earnings inequality in a dynamic model.

The paper aims to study the constraint solutions of the periodic coupled operator matrix equations by the biconjugate residual algorithm. The new algorithm can solve a lot of constraint solutions including Hamiltonian solutions and symmetric solutions, as special cases. At the end of this paper, the new algorithm is applied to the pole assignment problem.

When the studied periodic coupled operator matrix equations are consistent, it is proved that constraint solutions can converge to exact solutions. It is demonstrated that the solutions of the equations can be obtained by the new algorithm with any arbitrary initial matrices without rounding error in a finite number of iterative steps. In addition, the least norm-constrained solutions can also be calculated by selecting any initial matrices when the equations of the periodic coupled operator matrix are inconsistent.

Numerical examples show that compared with some existing algorithms, the proposed method has higher convergence efficiency because less data are used in each iteration and the data is sufficient to complete an update. It not only has the best convergence accuracy but also requires the least running time for iteration, which greatly saves memory space.

Compared with previous algorithms, the main feature of this algorithm is that it can synthesize these equations together to get a coupled operator matrix equation. Although the equation of this paper contains multiple submatrix equations, the algorithm in this paper only needs to use the information of one submatrix equation in the equation of this paper in each iteration so that different constraint solutions of different (coupled) matrix equations can be studied for this class of equations. However, previous articles need to iterate on a specific constraint solution of a matrix equation separately.