Multiple addition theorem for discrete and continuous nonlinear problems

The addition relation for the Riemann theta functions and for its limits, which lead to the appearance of exponential functions in soliton type equations is discussed. The presented form of addition property resolves itself to the factorization of N-tuple product of the shifted functions and it seems to be useful for analysis of soliton type continuous and discrete processes in the N+1 space-time. A close relation with the natural generalization of bi- and tri-linear operators into multiple linear operators concludes the paper.Comment: 9 page

Techniques and Forces and the Communicative Constitution of Organization: A Deleuzian Approach to Organizational (In)Stability and Power

This article introduces five principles of Deleuzian ontology and the conceptual framework of techniques and forces into emerging CCO scholarship addressing (dis)organization and power. By introducing Deleuzian concepts of (1) the virtual, (2) mutual (in)stability of meaning and materiality, (3) forces (and techniques), (4) communication, and (5) power, this essay builds a relational ontology that centers communication, speaks across existing theories of CCO, and offers a more detailed emphasis on power. In doing so, it enhances the explanatory power of CCO in general, as a set of theories useful for describing how organizational constitution and power play out in an increasingly (dis)organized world where the prevalence of bounded stable organizations can no longer be taken for granted

Postmodern/Poststructural Approaches

Postmodern and poststructural approaches to organizational communication are marked by an emphasis on ruptures, disjunctions, tensions, instabilities, and other inconsistencies as a part of everyday organizational life. This emphasis is part of an attempt to question, critique, and often compromise the normalized, mundane power structures that regulate organizational life. By questioning and critiquing, these approaches reveal norms and power structures as contingently constructed with particular interests at play. This contrasts with more traditional assumptions that treat norms and power structures as natural, neutral, and stable constructions. Poststructural and postmodern approaches to organizational communication find their roots in broader philosophical movements and the “linguistic turn” among organizational communication scholars. The linguistic turn of the 1980s saw an epistemological shift toward qualitative methods for understanding the communication/organization relationship and an ontological shift from the assumption that organizations are stable entities that contain communication to the assumption that organizations are more flexibly constructed through communication (see Putnam and Pacanowsky, 1983). Postmodern and poststructural approaches are two of many perspectives that were made possible by this shift, although there are plenty of others that follow the linguistic turn that do not claim the methods and assumptions of poststructural and postmodern approaches. Although poststructuralism and postmodernism are not synonymous, the two approaches are grounded in the same (Eurocentrically defined) historical moment. Understanding the influence of these philosophical movements on organizational communication approaches requires a broad understanding of the movements themselves

Divergence-free Nonrenormalizable Models

A natural procedure is introduced to replace the traditional, perturbatively generated counter terms to yield a formulation of covariant, self-interacting, nonrenormalizable scalar quantum field theories that has the added virtue of exhibiting a divergence-free perturbation analysis. To achieve this desirable goal it is necessary to reexamine the meaning of the free theory about which such a perturbation takes place.Comment: 22 pages. Version accepted for publication; involves modest addition to the end of Sec.

Flutter and forced response of mistuned rotors using standing wave analysis

A standing wave approach is applied to the analysis of the flutter and forced response of tuned and mistuned rotors. The traditional traveling wave cascade airforces are recast into standing wave arbitrary motion form using Pade approximants, and the resulting equations of motion are written in the matrix form. Applications for vibration modes, flutter, and forced response are discussed. It is noted that the standing wave methods may prove to be more versatile for dealing with certain applications, such as coupling flutter with forced response and dynamic shaft problems, transient impulses on the rotor, low-order engine excitation, bearing motion, and mistuning effects in rotors

Paradox as resistance in male dominated fields and the value of (sur)facing enthymematic narratives

Women working in masculine organizational contexts face a challenge of balancing (1) access to power by co-opting masculine discourse in ways that risk reinforcing it, with (2) challenging and resisting practices that privilege masculinity. In this manuscript, we address one communication strategy for navigating that challenge: The denial/acknowledgment paradox in which women explicitly deny that gender affected their experience, but also describe the many ways it affected their experience. To do so, we examined transcripts of interviews with 11 women candidates who ran in the 2017 Virginia House of Delegates election in the United States and demonstrated this paradoxical communication strategy. Our analysis offers five different structures of the denial/acknowledgment paradox and shows how four of those structures engage what we call an “enthymematic narrative” of victimhood. Ultimately, we argue that (sur) facing the enthymematic narrative amplifies the generative potential of the denial/acknowledgment paradox and suggest that (sur)facing enthymematic narratives should be taken up more broadly as a strategy for organizational and social change

One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model

We compute at the one-loop order the beta-functions for a renormalisable non-commutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed within the so called x-space formalism. We find that this non-commutative field theory exhibits asymptotic freedom for any number of colors. The beta-function for the non-commutative counterpart of the Thirring model is found to be non vanishing.Comment: 16 pages, 9 figure

A Rapid Dynamical Monte Carlo Algorithm for Glassy Systems

In this paper we present a dynamical Monte Carlo algorithm which is applicable to systems satisfying a clustering condition: during the dynamical evolution the system is mostly trapped in deep local minima (as happens in glasses, pinning problems etc.). We compare the algorithm to the usual Monte Carlo algorithm, using as an example the Bernasconi model. In this model, a straightforward implementation of the algorithm gives an improvement of several orders of magnitude in computational speed with respect to a recent, already very efficient, implementation of the algorithm of Bortz, Kalos and Lebowitz.Comment: RevTex 7 pages + 4 figures (uuencoded) appended; LPS preprin

Instabilities at [110] Surfaces of d_{x^2-y^2} Superconductors

We compare different scenarios for the low temperature splitting of the zero-energy peak in the local density of states at (110) surfaces of d_{x^2-y^2}-wave superconductors, observed by Covington et al. (Phys.Rev.Lett.79 (1997), 277). Using a tight binding model in the Bogolyubov-de Gennes treatment we find a surface phase transition towards a time-reversal symmetry breaking surface state carrying spontaneous currents and an s+id-wave state. Alternatively, we show that electron correlation leads to a surface phase transition towards a magnetic state corresponding to a local spin density wave state.Comment: 4 pages, 5 figure

Asset, liability, possibility: Metaphors of human difference and the business case for diversity

Purpose – This analysis draws on interviews with 19 self-identified US diversity consultants and 94 diversity statements posted on corporate websites. The findings challenge existing literature that characterizes the business case for diversity as monolithic and wholly problematic for the way it constructs understandings of human difference. The authors accomplish this using metaphor analysis to demonstrate how business case arguments incorporate three metaphorical systems for thinking and speaking about human differences – as asset, as liability and as possibility. Given this diversity of metaphors, the business case does not construct human difference in a monolithic way, but in a variety of ways that both challenge and sustain problematic treatments of difference. The authors argue scholars and practitioners should attend to these nuanced difference within the discourse of the business case, and more carefully consider how these metaphorical systems both enable and constrain the design and execution of diversity work in organizations. The paper aims to discuss these issues. Design/methodology/approach – The analysis draws on two data sets: initial interviews with 19 self-identified US diversity consultants analyzed using metaphor analysis. To triangulate findings, the metaphorical framework was applied to 94 diversity statements posted on corporate websites. Findings – Business case arguments operate according to three root metaphors of human difference: human difference as asset, human difference as liability and human difference as possibility. This challenges existing literature that treats the business case as a monolithic discourse. Research limitations/implications – This analysis offers the three metaphorical system and highlights the “constrained capacity” of each. This framework offers an analytical and practical tool for scholars and practitioners, enabling them to more thoroughly understand and respond to their unique organizational and socio-historical context. It also provides a way to analyze how concepts of difference are mobilized across social and historical contexts. Practical implications – The findings offer the “constrained capacity” that is, the strategic limitations and possibilities for practitioners who use the business case in their diversity work. This enables more skilled and ethically informed diversity initiatives. Social implications – The findings offer insight into the subtle ways that hierarchies of human difference embedded in US history are subtly reinforced and made present through language. This enables social justice workers to better challenge problematic constructions of human difference and create new understandings when needed. Originality/value – This piece makes two significant original contributions to existing literature. It offers more nuance to both critical and uncritical analyses of the business case by showing the diversity of business case assumptions about human difference as demonstrated in three different metaphorical systems and highlighting the constrained capacity of three different metaphorical systems. It offers unique analysis grounded in contemporary discourses, but correlated to historical systems of thought. This enables empirical identification of how certain types of thinking about human difference move across socio-historical contexts