Scaling analysis of a physics-guided kinetic energy density expansion

An approach guided by physical consistency in determining the general forms of D-dimensional kinetic energy density functionals (KEDF) has been demonstrated previously, producing an expansion which contains the majority of the known one-point KEDF forms. It is known that any noninteracting KEDF shall necessarily have a homogeneity degree of 2 in coordinate scaling. This paper demonstrates that this condition is already satisfied in the general expansion despite not being conceived with the scaling as a constraint.

Some Results for Orthonormal Boubaker Polynomials with Application

In this paper, we propose an efficient approximate indirect method for solving problems in calculus of variational. First, we introduce orthonormal Boubaker polynomials along with their important properties. These properties are employed to derive a general expansion of their operational matrices of derivation and integration along with a product operational matrix. The operational matrices are then used to approximate the solution. Finally, such approximations are substituted in the functional and necessary optimal condition, which then transform the variational problem under consideration into an algebraic system. Examples illustrate the validity and accuracy of the presented method.

Business History in Europe: The Vitality of the Discipline

This contribution is NOT about the substantial achievements or the possible omissions of business historians in Europe in the last decades, but rather about the conditions of their work, its appreciation by persons outside the discipline, and its importance in a (mainly) scholarly context: in short, how important is business history to us business historians as well as to others? It is based on information provided by more than 80 colleagues from 19 European countries. Differences and similarities in the structure of the discipline and its demand and desirability are mentioned. The argument is that, though business history is not immediately threatened, it has not been able to keep pace with the general expansion of institutional teaching and research. There are no simple remedies for this relative institutional stagnation, but it is hoped that the initiatives proposed will stimulate discussion and that they might even lead to a revitalization of working-conditions of the discipline.

General formalism for vibronic Hamiltonians in tetragonal symmetry and beyond

We derive general expansion formulas in vibrational coordinates for all bimodal Jahn–Teller and pseudo-Jahn–Teller Hamiltonians in tetragonal symmetry.

Epilogue

This epilogue analyzes how environmental reform hardly ceased by the end of the 1910s. While the general expansion of the environmental state at the federal level paused with the eclipse of Progressivism during World War I, and became more coercive and reliant on state power, there was no abrupt end to conservation. Americans still sought to address the concerns about artificiality and resource scarcity that had animated the movement. In the next decade, the crisis of Depression and the politics of the New Deal particularly brought a kind of rebirth to conservation. The chapter asserts that environmental problems are about people as much as nature. Any effective remediation will be a triumph of social justice as much as a reflection of respect for nature. A better society and better laws depend on better people, as Progressive activists and theorists so acutely observed.

An Expansion Theorem Involving H-Function of Several Complex Variables

The aim of this present paper is to obtain a general expansion theorem involving H-functions of several complex variables. This is done by making use of a Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives given recently by the authors. Special cases are also computed.