2,004 research outputs found
Detecting flat normal cones using Segre classes
Given a flat, projective morphism from an equidimensional scheme to
a nonsingular curve and a subscheme of , we give conditions under which
specialization of the Segre class of the normal cone of in
implies flatness of the normal cone. We apply this result to study when the
relative tangent star cone of a flat family is flat.Comment: LaTeX, 11 pages, no figure
Tangential Quantum Cohomology of Arbitrary Order
J. Kock has previously defined a tangency quantum product on formal power
series with coefficients in the cohomology ring of any smooth projective
variety, and thus a ring that generalizes the quantum cohomology ring. We
further generalize Kock's construction by defining a dth-order contact product
and establishing its associativity.Comment: 18 pages, LaTeX. We correct our paper to work in the correct context,
viz., using numerical equivalence (rather than rational equivalence) and
explicitly mentioning the Novikov rin
Interactive cutting path analysis programs
The operation of numerically controlled machine tools is interactively simulated. Four programs were developed to graphically display the cutting paths for a Monarch lathe, Cintimatic mill, Strippit sheet metal punch, and the wiring path for a Standard wire wrap machine. These programs are run on a IMLAC PDS-ID graphic display system under the DOS-3 disk operating system. The cutting path analysis programs accept input via both paper tape and disk file
Assessment worlds colliding? Negotiating between discourses of assessment on an online open course
Using the badged open course, Taking your first steps into Higher Education, this case study examines how assessment on online open courses draws on concepts of assessment used within formal and informal learning. Our experience was that assessment used within open courses, such as massive open online courses, is primarily determined by the requirements of quality assurance processes to award a digital badge or statement of participation as well as what is technologically possible. However, this disregards much recent work in universities that use assessment in support of learning. We suggest that designers of online open courses should pay greater attention to the relationship of assessment and learning to improve participant course completion
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Dynamics of ``Small Galaxies'' in the Hubble Deep Field
We have previously found in the Hubble Deep Field a significant angular
correlation of faint, high color-redshift objects on scales below one
arcsecond, or several kiloparsecs in metric size. We examine the correlation
and nearest neighbor statistics to conclude that 38% of these objects in the
HDF have a companion within one arcsecond, three times the number expected in a
random distribution with the same number of objects. We examine three dynamical
scenarios for these object multiplets: 1) the objects are star-forming regions
within normal galaxies, whose disks have been relatively dimmed by K-correction
and surface brightness dimming; 2) they are fragments merging into large
galaxies; 3) they are satellites accreting onto normal L_* galaxies. We find
that hypothesis 1 is most tenable. First, large galaxies in the process of a
merger formation would have accumulated too much mass in their centers (5e12
M_sun inside 2 kpc) to correspond to present day objects. Second, accretion by
dynamical friction occurs with a predictable density vs. radius slope, not seen
among the faint HDF objects. Since the dynamical friction time is roughly (1
Gyr), a steady-state should have been reached by redshift z < 5. Star-forming
regions within galaxies clearly present no dynamical problems. Since large
spirals would still appear as such in the HDF, we favor a scenario in which the
faint compact sources in the HDF are giant starforming regions within small
normal galaxies, such as Magellanic irregulars. Finally we checked that
reduction in mass-to-light from induced star-formation cannot alone explain the
luminosity overdensity.Comment: AASTeX 4.0 (preprint), 4 PostScript figure
Inspiring minds: How big questions can build students’ epistemic insight and improve attitudes towards STEM
This article examines the impact that an ‘epistemically insightful’ approach to informal science learning can have on students’ attitudes, aspirations and perceptions of STEM subjects. It uses interim findings from a research and outreach project, including sustained Saturday activity programmes for ages14–16 and residential summer schools for ages 15–19, designed to create confident scholars who can engage with difficult philosophical questions raised by current technological advances. The Inspiring Minds project at Canterbury Christ Church University, Kent, UK, delivers informal science learning in schools and informal settings based on an epistemic insight-led approach to STEM outreach and education
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