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A resultant-type identity for univariate polynomials is proved and used to characterise SAGBI bases of subalgebras generated by two polynomials. A new equivalent condition, expressed in terms of the degree of a field extension, for a pair of univariate polynomials to form a SAGBI basis is derived.
This study considers astrophysics, stellar and nebular astronomy in Sweden. Emphasis is on the role of scientific technologies and practice, and the emergence of a modern observational astronomy, supplanting classical astronomy as the most vital field of Swedish astronomy. The introduction of photography and spectroscopy is discussed, mainly focused on Nils Dunér. The mechanical nature of the pho
Background: The 39 item Parkinson's disease questionnaire (PDQ-39) is the most widely used patient reported rating scale in Parkinson's disease. However, several fundamental measurement assumptions necessary for confident use and interpretation of the eight PDQ-39 scales have not been fully addressed. Methods: Postal survey PDQ-39 data from 202 people with Parkinson's disease (54% men; mean age 70
The potential of algal–bacterial microcosms was studied for the biodegradation of salicylate, phenol and phenanthrene. The isolation and characterization of aerobic bacterial strains capable of mineralizing each pollutant were first conducted. Ralstonia basilensis was isolated for salicylate degradation, Acinetobacter haemolyticus for phenol and Pseudomonas migulae and Sphingomonas yanoikuyae for
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A simple model is presented which interpolates between the DGLAP and BFKL regimes in deep inelastic cp scattering. This model is based on the CCFM and LDC models, and it is simple enough to provide an intuitive picture of the transition region between the two domains. Results are presented for both fixed and running coupling; for fixed coupling the transition between the domains occurs at a consta
A compact six-figure approximation formula for the inductance of a cylindrical current sheet is presented. The formula displays the correct asymptotic behavior in the respective cases of very long and very short coils. The efficiency of the approximation formula is due to a thorough analysis of the exact formula.
Antibodies are critical entities used for the protection of an individual organism against infection and disease. Through a complex series of events genes rearrange to encode repertoires of molecules, which are tested for their ability to identify foreign molecules. In this report, we discuss factors defined by the individual as well as by infectious organisms that shape the antibody repertoire. A
There is a need for mathematical modelling for the evaluation of important parameters for photon imaging systems. A Monte Carlo program which simulates medical imaging nuclear detectors has been developed. Different materials can be chosen for the detector, a cover and a phantom. Cylindrical, spherical, rectangular and more complex phantom and source shapes can be simulated. Photoelectric, incoher
We present an incremental energy minimization model for magnetic shape memory alloys (MSMAs) whose derivation departs from the constrained theory of magnetoelasticity [1], but additionally accounts for elastic deformations, magnetization rotation, and dissipative mechanisms. The minimization of the proposed incremental energy yields the evolution of the internal state variables. In this sense, the
Various papers described mesh morphing techniques for computational biomechanics, but none of them provided a quantitative assessment of generality, robustness, automation, and accuracy in predicting strains. This study aims to quantitatively evaluate the performance of a novel mesh-morphing algorithm. A mesh-morphing algorithm based on radial-basis functions and on manual selection of correspondi
We present an approach to process scheduling based on an abstract graph representation which captures both data-flow and the flow of control. Target architectures consist of several processors, ASICs and shared busses. We have developed a heuristic which generates a schedule table so that the worst case delay is minimized. Several experiments demonstrate the efficiency of the approach.
The Somalia Reconciliation Conference led by the Intergovernmental Authority on Development (IGAD), in Eastern Africa, is focusing on creating a basis for dialogue as a means of reaching peace and stability in the region (Somali Reconciliation Conference, 2003; IGAD, 2002). This paper deals with the critical implications with focusing on dialogue as a means of promoting long-term peace.
A fundamental building block of any Grid infrastructures is the Grid information service and the information model. The information model describes the entities and relationships between entities within the infrastructure along with their semantics. The realization into a concrete data model defines the syntax by which these concepts can be exchanged. This data model enables consumers of informati
