Adjustment in the textile and clothing industry: The case of West Germany

Among the industries expected in future to be - according to several surveys - exposed to high pressure through adjustment: requirements due to accelerating export performance by developing countries, the textile and clothing industry occupies a predominant rank. The question whether developing countries are well advised to penetrate into the markets of developed countries as new suppliers of textile and clothing products has subsequently led to vehement controversies. The following contribution does not intend to examine more closely the questions raised in this connection, but, within the limits of this contribution, the following aspects shall be treated: - extent and direction of the structural change in the textile and clothing industry of the Federal Republic of Germany during the last decade, and their origin; - to show the protective measures granted to the West German producers of textile and clothing goods vis-a-vis their competitors from so - called low price countries and to analyse the quantitative, effects of these protective measures; - to examine the question which percentage of the imports from so-called low price countries is absorbed by the different industrial countries and whether it is possible to develop standards for a fair distribution of the import burden from low price countries; - finally to analyse more closely the development of textile and clothing exports from developing and so-called low price countries, in order to obtain possibly data about the future development.

Background subtraction and transient timing with Bayesian Blocks

Aims: To incorporate background subtraction into the Bayesian Blocks algorithm so that transient events can be timed accurately and precisely even in the presence of a substantial, rapidly variable, background. Methods: We developed several modifications to the algorithm and tested them on a simulated XMM-Newton observation of a bursting and eclipsing object. Results: We found that bursts can be found to good precision for almost all background subtraction methods, but eclipse ingresses and egresses present problems for most methods. We found one method that recovered these events with precision comparable to the interval between individual photons, in which both source and background region photons are combined into a single list and weighted according to the exposure area. We have also found that adjusting the Bayesian Blocks change points nearer to blocks with higher count rate removes a systematic bias towards blocks of low count rate.Comment: 10 pages, 13 figures, 1 tabl

Galerkin approximations for the optimal control of nonlinear delay differential equations

Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynomials. Error estimates for the resulting Galerkin-Koornwinder approximations to the optimal control and the value function, are derived for a broad class of cost functionals and nonlinear DDEs. The approach is illustrated on a delayed logistic equation set not far away from its Hopf bifurcation point in the parameter space. In this case, we show that low-dimensional controls for a standard quadratic cost functional can be efficiently computed from Galerkin-Koornwinder approximations to reduce at a nearly optimal cost the oscillation amplitude displayed by the DDE's solution. Optimal controls computed from the Pontryagin's maximum principle (PMP) and the Hamilton-Jacobi-Bellman equation (HJB) associated with the corresponding ODE systems, are shown to provide numerical solutions in good agreement. It is finally argued that the value function computed from the corresponding reduced HJB equation provides a good approximation of that obtained from the full HJB equation.Comment: 29 pages. This is a sequel of the arXiv preprint arXiv:1704.0042

Pion Loop Contribution to the Electromagnetic Pion Charge Radius

A phenomenological Dyson-Schwinger equation approach to QCD, formalised in terms of a QCD based model field theory, is used to calculate the electromagnetic charge radius of the pion. The contributions from the quark core and pion loop, as defined in this approach, are identified and compared. It is shown explicitly that the divergence of the charge radius in the chiral limit is due to the pion loop and that, at the physical value of the pion mass, this loop contributes less than 15\% to $\langle r^2_\pi\rangle$; i.e. the quark core is the dominant determining characteristic for the pion. This suggests that quark based models which fail to reproduce the $\ln\,m_\pi$ divergence of $\langle r^2_\pi\rangle$ may nevertheless incorporate the dominant characteristic of the pion: its quark core.Comment: 22 Pages, 5 figures uuencoded and appended to this file, REVTEX 3.0. ANL-PHY-7663-TH-93, UNITUE-THEP-13/199