Duality, observability, and controllability for linear time-varying descriptor systems

A characterization of observability for linear time-varying descriptor systemsE(t)x(t)+F(t)x(t)=B(t)u(t), y(t)=C(t)x(t) was recently developed. NeitherE norC were required to have constant rank. This paper defines a dual system, and a type of controllability so that observability of the original system is equivalent to controllability of the dual system. Criteria for observability and controllability are given in terms of arrays of derivatives of the original coefficients. In addition, the duality results of this paper lead to an improvement on a previous fundamental structure result for solvable systems of the formE(t)x(t)+F(t)x(t)=f(tt).

Managing the duality of IHRM: unravelling the strategy and perceptions of key actors in South Korean MNCs

This research aims to extend our understanding of the duality between global integration and local responsiveness in multinational corporations (MNCs) by exploring the perceptions of corporate HR actors regarding the intra-organisational factors that alter the balance between these pressures. It examines the perceptions and actions of key actors in the context of two Korean MNCs. The study shows the importance attributed to a range of socio-procedural factors by corporate actors and which, therefore, inform the practical management of the dual forces, notably: HR expertise, social ties, trustworthy relationships and co-involvement in decision processes.

A comparison of duality and energy a posteriori estimates for $\mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ in parabolic problems

We use the elliptic reconstruction technique in combination with a duality approach to prove a posteriori error estimates for fully discrete backward Euler scheme for linear parabolic equations. As an application, we combine our result with the residual based estimators from the a posteriori estimation for elliptic problems to derive space-error indicators and thus a fully practical version of the estimators bounding the error in the $ \mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$ norm. These estimators, which are of optimal order, extend those introduced by Eriksson and Johnson in 1991 by taking into account the error induced by the mesh changes and allowing for a more flexible use of the elliptic estimators. For comparison with previous results we derive also an energy-based a posteriori estimate for the $ \mathrm {L}_{\infty }(0,T;\mathrm {L}_2(\varOmega ))$-error which simplifies a previous one given by Lakkis and Makridakis in 2006. We then compare both estimators (duality vs. energy) in practical situations and draw conclusions.

An exploration of the role duality experienced by HR professionals as both implementers and recipients of HR practices: evidence from the Indian railways

This study provides an innovative perspective on empirically assessing HR by focusing on the duality of HR professionals’ experiences as both implementers and recipients or internal customers of HR practices given that they are also employees of the organization. We hypothesize that HR professionals experience HR practices more favorably from an implementer perspective as compared to an internal customer perspective. These differences in experiences are likely to be influenced by HR professionals’ hierarchical position in the HR department. Our analyses of 1,271 HR professionals employed by Indian Railways revealed a number of differences between the two types of experience. Some practices (recruitment and selection, training, and employee welfare) were viewed more negatively from the implementer perspective, whereas others (compensation, benefits, and employment relations) were rated more negatively from the internal customer perspective. Those holding more senior HR positions reported more positive experiences of training and employment relations from an internal customer perspective. Overall our contributions draw on the attribution theory and concepts of intraorganizational power and voice, and have implications concerning the effectiveness of HR practices. © 2015 Wiley Periodicals, Inc.

La confrontation de la laideur avec la beauté dans lesromans Mercure et Attentat. Une étude sur lareprésentation de la dualité thématique laideur-beautéchez Amélie Nothomb. : "Where there is Quasimodo, there is also Esmeralda." The confrontationbetween ugliness and beauty in the novels Mercure and Attentat. Astudy on the representation of the duality beauty-ugliness in the worksof Amélie Nothomb.

This paper studies one of the recurrent topics of writing found in Amélie Nothomb’snovels: beauty and ugliness. The novels Mercure and Attentat are analyzed in detail,with respect to figures of speech used to describe the extreme physical appearance ofthe protagonists and the role of the duality beauty-ugliness in the advancement of theplot.

Duality and organizing forms in change management

Although the fervour proclaiming new forms of organizing as the latest management panacea has not yet subsided, the calls for caution and further investigation have been bolstered by empirical findings. A common outcome of studies concerned with new organizing forms has been a greater awareness of the tensions or dualities between traditional and new forms. In particular, the conventional assumption that the two forms represent contradictory, incompatible forces is coming under increasing scrutiny. The resulting either/or approach to organizing form may be viewed as an inappropriate perspective for researching organizational change as it ignores the complexity and subtlety of organizing form. The reality is that, as new forms of organizing are introduced, they are more likely to supplement rather than supplant existing forms (Sanchez-Runde and Pettigrew 2003). The way forward therefore is to learn how to work with, rather than eliminate, dualities in organizing forms. This paper contends that dualities represent a superior perspective for interpreting organizing forms, and perhaps, foreshadows the direction of a future organizational change research paradigm.

Duality theory and forms of organizing

This paper presents results from a survey of organizing forms in Australia's largest public companies between 2000 and 2004. The study sought to identify trends in forms of organizing and the extent to which the uptake of new forms led to a decrease in traditional forms of organizing. The analysis revealed changes across the organizational dimensions of structures, processes and boundaries. While Australian firms were clearly interested in exploring new forms of organizing, uptake was not universal, nor at the expense of traditional forms of organizing. An admixture of traditional and new, or dual, forms of organizing emerged as the preferred response to environmental turbulence. This paper employs and extends duality theory to explain the changes that occurred in Australian public companies over the four year period. Duality theory is operationalized in terms of five duality characteristics, which are employed to assess the composition and balance of traditional and new fOlms of organizing. The paper proposes that a dualities aware perspective offers a potential way forward in managing the balance between ostensibly contradictory forces of continuity and change.

Do political connections affect the role of independent audit committees and CEO Duality? Some evidence from Malaysian audit pricing

This study examines whether political connection to firms affects the association between audit committee independence and demand for higher quality audits. In line with Carcello et al. (2002), our findings show that there is a positive association between audit committee independence and audit fees thus supporting the hypothesis that more independent audit committees demand higher audit quality. However, we find that this relationship is weaker for politically connected (PCON) firms suggesting that the independence of audit committees in Malaysian PCON firms may be compromised. Additionally, we provide evidence that PCON firms that have CEO duality are perceived by audit firms as being of higher risk than CEO duality firms without political connection.

Superstrings in graviphoton background and N=1/2+3/2 supersymmetry

Motivated by Ooguri and Vafa, we study superstrings in flat R-4 in a constant self-dual graviphoton background. The supergravity equations of motion are satisfied in this background which deforms the N = 2 d = 4 flat space super-Poincare algebra to another algebra with eight supercharges. A D-brane in this space preserves a quarter of the supercharges; i.e. N = 1/2 supersymmetry is realized linearly, and the remaining N = 3/2 supersymmetry is realized nonlinearly. The theory on the brane can be described as a theory in noncommutative superspace in which the chiral fermionic coordinates theta(alpha) of N = 1 d = 4 superspace are not Grassman variables but satisfy a Clifford algebra.

Duality of coordinates and matter fields in curved spacetime

We show that there exists a duality between the local coordinates and the solutions of the Klein-Gerdon equation in curved spacetime in the same sense as in the Minkowski spacetime. However, the duality in curved spacetime does not have the same generality as in flat spacetime and it holds only if the system satisfies certain constraints. We derive these constraints and the basic equations of duality and discuss the implications in the quantum theory. (C) 2000 Elsevier B.V. B.V. All rights reserved.

Duality between non-commutative Yang-Mills-Chem-Simons and non-Abelian self-dual models

By introducing an appropriate parent action and considering a perturbative approach, we establish, up to fourth order terms in the field and for the full range of the coupling constant, the equivalence between the non-commutative Yang-Mills-ChernSimons theory and the non-commutative, non-Abelian self-dual model. In doing this, we consider two different approaches by using both the Moyal star-product and the Seiberg-Witten map. (C) 2003 Elsevier B.V. B.V. All rights reserved.

Duality between coordinates and Dirac field

The duality between the Cartesian coordinates on the Minkowski space-time and the Dirac field is investigated. Two distinct possibilities to define this duality are shown to exist. In both cases, the equations satisfied by prepotentials are of second order. (C) 2000 Elsevier B.V. B.V. All rights reserved.

Local duality and charge symmetry violation in quark distributions

We use local quark-hadron duality to calculate the nucleon structure function as seen by neutrino and muon beams. Our result indicates a possible signal of charge symmetry violation at the parton level in the very large x region.

Search for supersymmetry via associated production of charginos and neutralinos in final states with three leptons

A search for associated production of charginos and neutralinos is performed using data recorded with the D0 detector at a p (p) over bar center-of-mass energy of 1.96 TeV at the Fermilab Tevatron Collider. This analysis considers final states with missing transverse energy and three charged leptons, of which at least two are electrons or muons. No evidence for supersymmetry is found in a data set corresponding to an integrated luminosity of 320 pb(-1). Limits on the product of the production cross section and leptonic branching fraction are set. For the minimal supergravity model, a chargino lower mass limit of 117 GeV at the 95% C.L. is derived in regions of parameter space with enhanced leptonic branching fractions.