1,159 research outputs found

    Modules Over Commutative Rings

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    A Theorem on Repeating Decimals

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    Inelastic Diffraction and Spectroscopy of Very Weakly Bound Clusters

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    We study the coherent inelastic diffraction of very weakly bound two body clusters from a material transmission grating. We show that internal transitions of the clusters can lead to new separate peaks in the diffraction pattern whose angular positions determine the excitation energies. Using a quantum mechanical approach to few body scattering theory we determine the relative peak intensities for the diffraction of the van der Waals dimers (D_2)_2 and H_2-D_2. Based on the results for these realistic examples we discuss the possible applications and experimental challenges of this coherent inelastic diffraction technique.Comment: 15 pages + 5 figures. J. Phys. B (in press

    Tracking system analytic calibration activities for the Mariner Mars 1971 mission

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    Data covering various planning aspects of Mariner Mars 1971 mission are summarized. Data cover calibrating procedures for tracking stations, radio signal propagation in the troposphere, effects of charged particles on radio transmission, orbit calculation, and data smoothing

    Carbon isotope ratios of Great Plains soils and in wheat-fallow systems

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    Includes bibliographical references (pages 1076-1077).The purposes of this study were to improve knowledge of regional vegetation patterns of C3 and C4 plants in the North American Great Plains and to use δ13C methodology and long-term research sites to determine contributions of small-grain crops to total soil organic carbon (SOC) now present. Archived and recent soil samples were used. Detailed soil sampling was in 1993 at long-term sites near Akron, CO, and Sidney, NE. After soil sieving, drying, and deliming, SOC and δ13C were determined using an automated C/N analyzer interfaced to an isotope-ratio mass spectrometer. Yield records from long-term experimental sites were used to estimate the amount of C3 plant residue C returned to the soil. Results from δ13C analyses of soils from near Waldheim, Saskatchewan, to Big Springs, TX, showed a strong north to south decrease in SOC derived from C3 plants and a corresponding increase from C4 plants. The δ13C analyses gave evidence that C3 plant residue C (possibly from shrubs) is increasing at the Big Springs, TX, and Lawton, OK, sites. Also, δ13C analyses of subsoil and topsoil layers shows evidence of a regional shift to more C3 species, possibly because of a cooler climate during the past few hundreds to thousands of years. Data from long-term research sites indicate that the efficiency of incorporation of small-grain crop residue C was about 5.4% during 84 year at Akron, CO, and about 10.5% during 20 year at Sidney, NE. The 14C age of the SOC at 0- to 10-cm depth was 193 year and at 30 to 45 cm was 4000 yr; 14C age of nonhydrolyzable C was 2000 and 7000 year for these same two respective depths. Natural partitioning of the 13C isotope by the photosynthetic pathways of C3 and C4 plants provides a potentially powerful tool to study SOC dynamics at both regional and local scales

    Isomorphisms of Brin-Higman-Thompson groups

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    Let m,m,r,r,t,tm, m', r, r',t, t' be positive integers with r,r2r, r' \ge 2. Let LrL_r denote the ring that is universal with an invertible 1×r1 \times r matrix. Let Mm(Lrt)M_m(L_r^{\otimes t}) denote the ring of m×mm \times m matrices over the tensor product of tt copies of LrL_r. In a natural way, Mm(Lrt)M_m(L_r^{\otimes t}) is a partially ordered ring with involution. Let PUm(Lrt)PU_m(L_r^{\otimes t}) denote the group of positive unitary elements. We show that PUm(Lrt)PU_m(L_r^{\otimes t}) is isomorphic to the Brin-Higman-Thompson group tVr,mt V_{r,m}; the case t=1t =1 was found by Pardo, that is, PUm(Lr)PU_m(L_r) is isomorphic to the Higman-Thompson group Vr,mV_{r,m}. We survey arguments of Abrams, \'Anh, Bleak, Brin, Higman, Lanoue, Pardo, and Thompson that prove that tVr,mtVr,mt' V_{r',m'} \cong tV_{r,m} if and only if r=rr' = r, t=tt'=t and gcd(m,r1)=gcd(m,r1) \gcd(m',r'-1) = \gcd(m,r-1) (if and only if Mm(Lrt)M_{m'}(L_{r'}^{\otimes t'}) and Mm(Lrt)M_m(L_r^{\otimes t}) are isomorphic as partially ordered rings with involution).Comment: 24 page

    Archiving multi-epoch data and the discovery of variables in the near infrared

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    We present a description of the design and usage of a new synoptic pipeline and database model for time series photometry in the VISTA Data Flow System (VDFS). All UKIRT-WFCAM data and most of the VISTA main survey data will be processed and archived by the VDFS. Much of these data are multi-epoch, useful for finding moving and variable objects. Our new database design allows the users to easily find rare objects of these types amongst the huge volume of data being produced by modern survey telescopes. Its effectiveness is demonstrated through examples using Data Release 5 of the UKIDSS Deep Extragalactic Survey (DXS) and the WFCAM standard star data. The synoptic pipeline provides additional quality control and calibration to these data in the process of generating accurate light-curves. We find that 0.6+-0.1% of stars and 2.3+-0.6% of galaxies in the UKIDSS-DXS with K<15 mag are variable with amplitudes \Delta K>0.015 magComment: 30 pages, 31 figures, MNRAS, in press Minor changes from previous version due to refereeing and proof-readin

    The Beginning and Evolution of the Universe

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    We review the current standard model for the evolution of the Universe from an early inflationary epoch to the complex hierarchy of structure seen today. We summarize and provide key references for the following topics: observations of the expanding Universe; the hot early Universe and nucleosynthesis; theory and observations of the cosmic microwave background; Big Bang cosmology; inflation; dark matter and dark energy; theory of structure formation; the cold dark matter model; galaxy formation; cosmological simulations; observations of galaxies, clusters, and quasars; statistical measures of large-scale structure; and measurement of cosmological parameters. We conclude with discussion of some open questions in cosmology. This review is designed to provide a graduate student or other new worker in the field an introduction to the cosmological literature.Comment: 69 pages. Invited review article for Publications of the Astronomical Society of the Pacific. Supplementary references, tables, and more concise PDF file at http://www.physics.drexel.edu/univers
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