On a Stratification Defined by Real Roots of Polynomials

2000 Mathematics Subject Classification: 12D10

Embodying multiplicity : the independent dancer's moving identity

In this article, I argue for an acknowledgement of the significance of the dancer’s role in the creation of independent contemporary dance. I propose the term ‘moving identity’ to outline the independent contemporary dancer’s ‘way of moving’ which could be perceived as the accumulation of various factors including training approaches, choreographic movement traces and anatomical structures. The concept of the moving identity allows us to appreciate the dancer’s unique signature movement style as the collation of embodied experiences into a unique way of moving. However, the moving identity is also open to change when the dancer encounters new choreography and the choreographer. Professional dance training produces particular types of dancers, depending on the techniques with which they engage. I demonstrate how the independent contemporary dancer troubles this distinctiveness by engaging with a multitude of movement styles and approaches throughout a career. This leads me to a fresh description of the dancer’s activity through the lens of Deleuzean concepts of multiplicity and de-stratification. Finally, I propose a definition of the dancer as a fluid and mutable body-in-flux with the creative potential to significantly influence the outcome of the choreographic process.

Moving identities : multiplicity, embodiment and the contemporary dancer

Currently, across dance studies, choreographies are usually discussed as representational of the choreographer, with little attention focused on the dancers who also bring the work into being. As well as devaluing the contribution that the dancer makes to the choreographic process, the dancer’s elision from mainstream discourse deprives the art form of a rich source of insight into the incorporating practices of dance. This practice-based research offers a new perspective on choreographic process through the experiential viewpoint of the participating dancer. It involves encounters with contemporary choreographers Rosemary Butcher (UK), John Jasperse (US), Jodi Melnick (US) and Liz Roche (Ire). Utilizing a mixed-mode research structure, it covers the creative process and performance of three solo dance pieces in Dublin in 2008, as well as an especially composed movement treatise, all of which are documented on the attached DVD. The main hypothesis presented is that the dancer possesses a moving identity which is a composite of past dance experience, anatomical structures and conditioned human movement. This is supported by explorations into critical theory on embodiment, including Pierre Bourdieu’s concept of ‘the habitus’. The moving identity is identified as accumulative, altering through encounters with new choreographic movement patterns in independent contemporary dance practice. The interior space of the dancer’s embodied experience is made explicit in chapter 3, through four discussions that outline the dancer’s creative labour in producing each choreographic work. Through adopting a postmodern critical perspective on human subjectivity, supported by Gilles Deleuze, Félix Guattari and Alain Badiou, among others, the thesis addresses the inherent challenges which face independent contemporary dancers within their multiple embodiments as they move between different choreographic processes. In identifying an emergent paradigmatic shift in the role of dancer within dance- making practices, this research forges a new direction that invites further dancer-led initiatives in practice-based research.

Multiplicity, Embodiment and the Contemporary Dancer: Moving Identities

In recent years, the practice of contemporary dancers has altered significantly in the transition from canonical choreographic vocabularies to a proliferation of choreographic signatures within mainstream and independent dance. Dancers are often required to collaborate creatively on the formation of choreographic material, thus engaging conceptually with emerging cultural paradigms. This book explores the co-creative practice of contemporary dancers solely from the point of view of the dancer. It reveals multiple dancing perspectives, drawn from interviews, current writing and evocative accounts from inside the choreographic process, illuminating the myriad ways that dancers contribute to the production of contemporary dance culture. A key insight of the book is that a dancer's signature way of being is a 'moving identity', which incorporates past dance experience, anatomical structures and conditioned human movement as a self-in-process. The moving identity is the movement signature that the dancer forms throughout a career path.

The significance of controlled conditions in lentiviral vector titration and in the use of multiplicity of infection (MOI) for predicting gene transfer events

Background: Although lentiviral vectors have been widely used for in vitro and in vivo gene therapy researches, there have been few studies systematically examining various conditions that may affect the determination of the number of viable vector particles in a vector preparation and the use of Multiplicity of Infection (MOI) as a parameter for the prediction of gene transfer events. Methods: Lentiviral vectors encoding a marker gene were packaged and supernatants concentrated. The number of viable vector particles was determined by in vitro transduction and fluorescent microscopy and FACs analyses. Various factors that may affect the transduction process, such as vector inoculum volume, target cell number and type, vector decay, variable vector - target cell contact and adsorption periods were studied. MOI between 0-32 was assessed on commonly used cell lines as well as a new cell line. Results: We demonstrated that the resulting values of lentiviral vector titre varied with changes of conditions in the transduction process, including inoculum volume of the vector, the type and number of target cells, vector stability and the length of period of the vector adsorption to target cells. Vector inoculum and the number of target cells determine the frequencies of gene transfer event, although not proportionally. Vector exposure time to target cells also influenced transduction results. Varying these parameters resulted in a greater than 50-fold differences in the vector titre from the same vector stock. Commonly used cell lines in vector titration were less sensitive to lentiviral vector-mediated gene transfer than a new cell line, FRL 19. Within 0-32 of MOI used transducing four different cell lines, the higher the MOI applied, the higher the efficiency of gene transfer obtained. Conclusion: Several variables in the transduction process affected in in vitro vector titration and resulted in vastly different values from the same vector stock, thus complicating the use of MOI for predicting gene transfer events. Commonly used target cell lines underestimated vector titre. However, within a certain range of MOI, it is possible that, if strictly controlled conditions are observed in the vector titration process, including the use of a sensitive cell line, such as FRL 19 for vector titration, lentivector-mediated gene transfer events could be predicted. © 2004 Zhang et al; licensee BioMed Central Ltd.

Ways and Means for Disposal of Surplus Water in Storage Reservoirs and other Irrigation and Flood Protective Works

In the paper new way of classifying spillways have been suggested. The various types, merits and demerits or existing spillway devices have been discussed. The considerations governing the choice of a design of a spillway have been mention. A criteria for working out the economics of spillway design has been suggested. An efficient surplus sing device has next been described and compared with other devices. In conclusion it has been suggested that the most efficient and at the same time economical arrangement will be a combination of devices. In conclusion it has been suggested will be a combination of crest gate, volute siphons and high head gates. The appendix gives a list of devices used in dams in various parts of the world.

Nonlinear dynamics of eucaryotic pyruvate dehydrogenase multienzyme complex: Decarboxylation rate, oscillations, and multiplicity

Pyruvate conversion to acetyl-CoA by the pyruvate dehydrogenase (PDH) multienzyme complex is known as a key node in affecting the metabolic fluxes of animal cell culture. However, its possible role in causing possible nonlinear dynamic behavior such as oscillations and multiplicity of animal cells has received little attention. In this work, the kinetic and dynamic behavior of PDH of eucaryotic cells has been analyzed by using both in vitro and simplified in vivo models. With the in vitro model the overall reaction rate (v(1)) of PDH is shown to be a nonlinear function of pyruvate concentration, leading to oscillations under certain conditions. All enzyme components affect v, and the nonlinearity of PDH significantly, the protein X and the core enzyme dihydrolipoamide acyltransferase (E2) being mostly predominant. By considering the synthesis rates of pyruvate and PDH components the in vitro model is expanded to emulate in vivo conditions. Analysis using the in vivo model reveals another interesting kinetic feature of the PDH system, namely, multiple steady states. Depending on the pyruvate and enzyme levels or the operation mode, either a steady state with high pyruvate decarboxylation rate or a steady state with significantly lower decarboxylation rate can be achieved under otherwise identical conditions. In general, the more efficient steady state is associated with a lower pyruvate concentration. A possible time delay in the substrate supply and enzyme synthesis can also affect the steady state to be achieved and lead's to oscillations under certain conditions. Overall, the predictions of multiplicity for the PDH system agree qualitatively well with recent experimental observations in animal cell cultures. The model analysis gives some hints for improving pyruavte metabolism in animal cell culture.

Ancient Chinese algorithm: The Ying Buzu Shu (method of surplus and deficiency) vs Newton iteration method

Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.

Profit as Cost versus Profit as Surplus over Cost: A Case Study on Varian's "Intermediate Microeconomics"

On the analysis of Varian’s textbook on Microeconomics, which I take to be a representative of the standard view, I argue that Varian provides two contrary notions of profit, namely, profit as surplus over cost and profit as cost. Varian starts by defining profit as the surplus of revenues over cost and, thus, as the part of the value of commodities that is not any cost; however, he provides a second definition of profit as a cost, namely, as the opportunity cost of capital. I also argue that the definition of competitive profit as the opportunity cost of capital involves a self-contradictory notion of opportunity cost.

Geometric multiplicity margin for a submatrix

AMS Classification: 15A18, 15A21, 15A60.

A note on the von Bertalanffy growth function concerning the allocation of surplus energy to reproduction

We propose an extended form of the von Bertalanffy growth function (VBGF), where the allocation of surplus energy to reproduction is considered. Any function can be used in our model to describe the ratio of energy allocation for reproduction to that for somatic growth. As an example, two models for energy allocation were derived: a step-function and a logistic function. The extended model can jointly describe growth in adult and juvenile stages. The change in growth rate between the two stages can be either gradual or steep; the latter gives a biphasic VBGF. The results of curve fitting indicated that a consideration of reproductive energy is meaningful for model extension. By controlling parameter values, our comprehensive model gives various growth curve shapes ranging from indeterminate to determinate growth. An increase in the number of parameters is unavoidable in practical applications of this new model. Additional information on reproduction will improve the reliability of model estimates.

A preliminary study of target multiplicity for ADSRs

The Accelerator Driven Subcritical Reactor (ADSR) concept is based on the coupling of a particle accelerator to a subcritical reactor core by means of a neutron spallation target interface. This paper investigates the benefits of multiple spallation targets in ADSRs. The motivation behind this is, firstly, to improve the overall reliability of the accelerator-reactor system, and, secondly, to evaluate other potential advantages such as lower beam power requirements. The results show that a system containing two or three spallation targets, coupled to independent accelerators, offers better neutronic performance. This is demonstrated through the increased effective multiplication factor (keff) in the two- and three-target configurations and a more uniform neutron flux distribution. A multiple-target ADSR also proves effective in mitigating the impact of frequent beam interruptions, a pressing issue that needs to be addressed for the ADSR concept to advance. Assuming no simultaneous beam shutdowns, the two- and three-target configurations reduce the risk of fuel cladding failure due to thermal cyclic fatigue. © 2013 Elsevier B.V. All rights reserved.