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Physical Sciences and Mathematics

Dartmouth College

1999

Articles 31 - 38 of 38

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A Short Proof That ‘Proper = Unit’, Kenneth P. Bogart, Douglas B. West Apr 1999

A Short Proof That ‘Proper = Unit’, Kenneth P. Bogart, Douglas B. West

Dartmouth Scholarship

A short proof is given that the graphs with proper interval representations are the same as the graphs with unit interval representations.

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The I-Band Tully-Fisher Relation For Sc Galaxies: Optical Imaging Data, Martha P. Haynes, Riccardo Giovanelli, John J. Salzer, Gary Wegner Apr 1999

The I-Band Tully-Fisher Relation For Sc Galaxies: Optical Imaging Data, Martha P. Haynes, Riccardo Giovanelli, John J. Salzer, Gary Wegner

Dartmouth Scholarship

Properties derived from the analysis of photometric I-band imaging observations are presented for 1727 inclined spiral galaxies, mostly of types Sbc and Sc. The reduction, parameter extraction, and error estimation procedures are discussed in detail. The asymptotic behavior of the magnitude curve of growth and the radial variation in ellipticity and position angle are used in combination with the linearity of the surface brightness falloff to fit the disk portion of the profile. Total I-band magnitudes are calculated by extrapolating the detected surface brightness profile to a radius of eight disk scale lengths. Errors in the magnitudes, typically …

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Greedy Approximation Algorithms For K-Medians By Randomized Rounding, Neal E. Young Mar 1999

Greedy Approximation Algorithms For K-Medians By Randomized Rounding, Neal E. Young

Computer Science Technical Reports

We give an improved approximation algorithm for the general k-medians problem. Given any \epsilon>0, the algorithm finds a solution of total distance at most D(1+\epsilon) using at most k ln(n+n/\epsilon) medians (a.k.a. sites), provided some solution of total distance D using k medians exists. This improves over the best previous bound (w.r.t. the number of medians) by a factor of \Omega(1/\epsilon) provided 1/\epsilon=n^O(1). The algorithm is a greedy algorithm, derived using the method of oblivious randomized rounding. It requires at most k ln(n+n/\epsilon) linear-time iterations. We also derive algorithms for fractional and weighted variants of the problem.

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The Peculiar Motions Of Early-Type Galaxies In Two Distant Regions -- V. The Mg-- Relation, Age And Metallicity, M. Colless, D. Burstein, R. L. Davies, R. K. Mcmahan, R. P. Saglia, G. Wegner Mar 1999

The Peculiar Motions Of Early-Type Galaxies In Two Distant Regions -- V. The Mg-- Relation, Age And Metallicity, M. Colless, D. Burstein, R. L. Davies, R. K. Mcmahan, R. P. Saglia, G. Wegner

Dartmouth Scholarship

We have examined the Mg—σ relation for early-type galaxies in the EFAR sample and its dependence on cluster properties. A comprehensive maximum likelihood treatment of the sample selection and measurement errors gives fits to the global Mg—σ relation of Mg b′=0.131 log σ −0.131 and Mg2=0.257 log σ −0.305. The slope of these relations is 25 per cent steeper than that obtained by most other authors owing to the reduced bias of our fitting method. The intrinsic scatter in the global Mg— σ relation is estimated to be 0.016 mag in Mg b′ and 0.023 …

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The Post–Common Envelope And Pre–Cataclysmic Binary Pg 1224+309, Jerome A. Orosz, Richard A. Wade, Jason J. B. Harlow, John R. Thorstensen, Cynthia J. Taylor, Michael Eracleous Mar 1999

The Post–Common Envelope And Pre–Cataclysmic Binary Pg 1224+309, Jerome A. Orosz, Richard A. Wade, Jason J. B. Harlow, John R. Thorstensen, Cynthia J. Taylor, Michael Eracleous

Dartmouth Scholarship

We have made extensive spectroscopic and photometric observations of PG 1224+309, a close binary containing a DA white dwarf primary and an M4+ secondary. The Hα line is in emission due to irradiation of the M star by the hot white dwarf and is seen to vary around the orbit. From the radial velocities of the Hα line we derive a period of P = 0.258689 ± 0.000004 days and a semiamplitude of KHα = 160 ± 8 km s-1. We estimate a correction ΔK = 21 ± 2 km s-1, where KM …

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Stellar Kinematics Of The Double Nucleus Of M31, Thomas S. Statler, Ivan R. King, Philippe Crane, Robert I. Jedrzejewski Feb 1999

Stellar Kinematics Of The Double Nucleus Of M31, Thomas S. Statler, Ivan R. King, Philippe Crane, Robert I. Jedrzejewski

Dartmouth Scholarship

We report observations of the double nucleus of M31 with the f/48 long-slit spectrograph of the Hubble Space Telescope Faint Object Camera. We obtain a total exposure of 19,000 s over seven orbits, with the 0063-wide slit along the line between the two brightness peaks (P.A. 42°). Careful correction of the raw data for detector backgrounds and geometric distortion is essential. A spectrum of Jupiter obtained with the same instrument is used as a spectral template to extract rotation and velocity dispersion profiles by cross-correlation. The rotation curve is resolved and reaches a maximum amplitude of ~250 km s-1 roughly …

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The Steep Spectrum Quasar Pg1404+ 226 With Asca, Hst And Rosat, Marie-Helene Ulrich, Andrea Comastri, Stefanie Komossa, Phil Crane Jan 1999

The Steep Spectrum Quasar Pg1404+ 226 With Asca, Hst And Rosat, Marie-Helene Ulrich, Andrea Comastri, Stefanie Komossa, Phil Crane

Dartmouth Scholarship

We present and discuss our observations of the Narrow Line quasar PG1404+226 (zem = 0.098) with ASCA and HST, and a re-analysis of our earlier observa- tions with ROSAT. The soft X-ray spectrum is very steep and displays an absorption feature (edge or line at ∼ 1.1 keV). We have applied a variety of models to the ASCA and ROSAT spectra without finding a completely satis- factory fit, and the identification of the edge remains un- certain. A satisfactory fit of the ASCA spectrum assuming that the edge is produced by highly ionized iron (using the code absori in XSPEC) …

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Late-Time Optical And Ultraviolet Spectra Of Sn 1979c And Sn 1980k, Robert A. Fesen, Christopher L. Gerardy, Alexei V. Filippenko, Thomas Matheson, Roger A. Chevalier, Robert P. Kirshner, Brian P. Schmidt, Peter Challis, Claes Fransson, Bruno Leibundgut, Schuyler D. Van Dyk Jan 1999

Late-Time Optical And Ultraviolet Spectra Of Sn 1979c And Sn 1980k, Robert A. Fesen, Christopher L. Gerardy, Alexei V. Filippenko, Thomas Matheson, Roger A. Chevalier, Robert P. Kirshner, Brian P. Schmidt, Peter Challis, Claes Fransson, Bruno Leibundgut, Schuyler D. Van Dyk

Dartmouth Scholarship

A low-dispersion Keck I spectrum of SN 1980K taken in 1995 August (t = 14.8 yr after explosion) and a spectrum taken in 1997 November (t = 17.0 yr) at the MDM Observatory show broad 5500 km s-1 emission lines of Hα, [O I] 6300, 6364 Å, and [O II] 7319, 7330 Å. Weaker but similarly broad lines detected include [Fe II] 7155 Å, [S II] 4068, 4072 Å, and a blend of [Fe II] lines at 5050–5400 Å. The presence of strong [S II] 4068, 4072 Å emission but a lack of [S II] 6716, 6731 …

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