FACULTY
PUBLICATIONS
ASTRONOMY
History of the Cosmological Constant
M.
Demianski
Ann. Phys. (Leipzig), 9, 3-5, 278-287, (2000)
General review of history of the cosmological constant problem is
presented. Some theoretical ideas suggesting that Λ = 0 are mentioned and
recent observational results are discussed.
Abundances of Sulfur, Chlorine, and Argon in Planetary
Nebulae. I: Observations and Abundances in a Northern Sample
Kwitter,
K.B., and Henry, R.B.C.
Astrophysical Journal, Vol. 562, p. 804, (2001)
This paper is the first of a series specifically studying the abundances of
sulfur, chlorine, and argon in type II planetary nebulae (PNe) in the Galactic
disk. Ratios of S/O, C1/O, and Ar/O constitute important tests of differential
nucleosynthesis of these elements and serve as strict constraints on massive
star yield predictions. We present new ground-based optical spectra extending
from 3600-9600 Å for a sample of 19 northern type II PNe. This range
includes the strong near-infrared lines of [S II] at 9069 Å and 9532
Å, which allows us to test extensively their effectiveness as sulfur
abundances indicators. We also introduce a new model-tests ionization
corrections factor for sulfur. For the present sample, we find average values
of S/O=1.2±0.71 x 10-2, C1/O=3.3±1.6 x 10-4, and
Ar/O=5.0±1.9 x 10-3.
Abundances of Sulfur, Chlorine, and Argon in Planetary
Nebulae. IIA: Observations of a Southern Sample
Milingo, J.B., Kwitter,
K.B., Henry, R.B.C., and Cohen, R.A.*
*(KNAC Summer Fellow, Wesleyan ‘03)
Astrophysical Journal Supplement, Vol. 138, p. 279,
(2002)
In this paper we present fully reduced and dereddened emission-line
strengths for a sample of 45 southern type II planetary nebulae (PNe). The
spectrophotometry for these PNe covers an extended optical-near-infrared ranged
from 3600-9600 Å. This PN study and subsequent analysis (presented in a
companion paper), together with a similar treatment for a northern PN sample, is
aimed at addressing the lack of homogeneous, consistently observed, reduced, and
analyzed data sets that include the near-infrared [S III] lines at 9069 Å
and 9532 Å. The use of type II objects only is intended to select disk
nebulae that are uncontaminated by nucleosynthesis products of the progenitor
star. Extending spectra redward to include the strong [S III] lines enables us
to look for consistency between S+2 abundances inferred from these
lines and from the more accessible, albeit weaker, [S II] line at 6312
Å.
Abundances of Sulfur, Chlorine, and Argon in Planetary
Nebulae. IIB: Abundances in a Southern Sample
Milingo, J.B., Henry,
R.B.C., and Kwitter, K.B.
Astrophysical Journal Supplement, Vol. 138, p. 285,
(2002)
We have undertaken a large spectroscopic survey of over 80 planetary
nebulae (PNe) with the goal of providing a homogeneous spectroscopic database
between 3600 and 9600 Å, as well as a set of consistently determined
abundances, especially for oxygen, sulfur, chlorine, and argon. In the current
paper we calculate and report the S/O, C1/O, and Ar/O abundance ratios for 45
southern PNe (predominantly type II), using our own recently observed line
strengths published in a companion paper. One of the salient features of our
work is the use of the near-infrared lines of [S III] at 9069 Å and 9532
Å coupled with the [S III] temperature, to determine the S+2
ionic abundance. We find the following average abundances for these objects:
S/O=0.011±0.0064, C1/O=0.00031±0.00012, and Ar/O=0.0051±0.0020.
Moon Struck: Artists Rediscover Nature and
Observe
Olson, R.J.M., and Jay M. Pasachoff
Earth, Moon and Planets, 85/86, 303-341, 2001
Deuterium Near and Far in the Milky Way
Lubowich,
D.A., Jay M. Pasachoff, and J. Ostenson
Cosmic Evolution, E. Vangioni-Flam, R. Ferlet, and M. Lemoine,
eds., World Scientific, pp. 63-64 (2001)
Menzel and Eclipses
Pasachoff, Jay M.
Journal for the History of Astronomy, 33(2), No. 111,
139-156, 2002
Short-Period Waves That Heat the Corona Detected at the
1999 Eclipse
Jay M. Pasachoff, B.A. Babcock, K.D. Russell and D.B.
Seaton
Solar Physics, 207, 241–257,
2002
What Should College Students Learn? Phases and Seasons?
Is Less More or Is Less Less?
Pasachoff, Jay M.
Astronomy Education Review, 1, 2002
What Should Students Learn?
Pasachoff’s
Points, letter
Pasachoff, Jay M.
The Physics Teacher, 39, September 18-19 (2001)
The Physics Teacher, 40, April 196-198 (2002)
Gloria on the Subway
Pasachoff, Jay M., and Eloise
Pasachoff
American Journal of Physics, September (2001)
Public Education in Developing Countries on the Occasions
of Eclipses
Pasachoff, Jay M.
Astronomical Society of the Pacific, Alan H. Batten, ed. pp.
101-106, ISBN 1-58381-067-6; additional comments on pp. 139-140, 338-339
(2001)
Eclipse/SOHO Joint Observations of Solar
Eclipses
Jay M. Pasachoff, Kevin Russell, Daniel B. Seaton, Bryce A.
Babcock, and Stephan Martin
American Geophysical Union, Boston; AGU Abstract #SH-41B-25,
p. 91, (2001)
Donald H. Menzel: Scientist, Educator, Builder
Jay
M. Pasachoff, O. Gingerich, D. Layzer, R.W. Noyes, W.H. Parkinson, and B.
Welther
American Geophysical Union, Boston, AGU Abstract #SH-41B-26,
p. 91 (2001)
TRACE Observations of the 15 November 1999 Transit of
Mercury
Schneider, G., Jay M. Pasachoff, and L. Golub
Bull. Am. Astron. Soc., 33, #3, 1037 (2001)
Coronal Heating, Mapping, and Polarization: The Williams
College Expedition
Pasachoff, Jay M.
Observations et Travaux, Karine Bocchialini and Serge Koutchmy,
eds., Vol. 53, pp. 42-44 (2002)
The Working Group on Eclipses of the
IAU
Pasachoff, Jay M.
Observations et Travaux, Karine Bocchialini and Serge Koutchmy,
eds., Vol. 53, pp. 56, (2002)
Galileo
Pasachoff, Jay M.
Space Sciences (Planetary Science and Astronomy), Macmillan
Reference USA (2002)
Spectra
Pasachoff, Jay M.
World Book (2001)
BIOLOGY
Infant Deaths in Developing Countries
Banta, L,
Visiting Associate Professor of Biology, J. Beetham, D.Draper, N. Hartwig, M.
Klein and G. Marquis
In Life Science Ethics (G. Comstock, ed.) Iowa State Press
FQR1, A Novel Primary Auxin-Response Gene, Encodes a
Flavin Mononucleotide-Binding Quinone Reductase
Marta Laskowski,
Assistant Professor of Biology
Plant Physiol. 128(2), 578-590 (2002)
Ant-Dependent Oviposition in the Membracid Publilia
concava
M.A. Morales, Assistant Professor of Biology
Ecological Entomol. 27, 247-250 (2002)
Variation in Timing and Abundance of Flowering by
Delphinium barbeyi Huth (Ranumcuaceae): The Roles of Snow pack,
Frost, and La Νiña, in the context of Climate Change
Inouye,
D.W., M.A. Morales, Assistant Professor of Biology, and G.J. Dodge
Oecologia 130, 543-550 (2002)
Delphinium barbeyi is a common herbaceous wildflower in montane
meadows at 2,900 m near the Rocky Mountain Biological Laboratory, and its
flowers are important nectar resources for bumblebees and hummingbirds. During
the period 1977-1999 flowering was highly variable in both timing (date of first
flower ranged from 5 July to 6 August, mean=17 July) and abundance (maximum open
flowers per 2x2-m plot ranged from 11.3 to 197.9, mean=82). Time and abundance
of flowering are highly correlated with the previous winter's snow pack, as
measured by the amount of snow remaining on the ground on 15 May (range
0-185 cm, mean=67.1). We used structural equation modeling to investigate
relationships among snow pack, first date of bare ground, first date of
flowering, number of inflorescences produced, and peak number of flowers, all of
which are significantly correlated with each other. Snow pack depth on 15 May
is a significant predictor of the first date of bare ground
(R2=0.872), which in turn is a significant predictor of the
first date of flowering (R2=0.858); snow pack depth is also
significantly correlated with number of inflorescences produced
(R2=0.713). Both the number of inflorescences and mean date
of first flowering are significant predictors of flowers produced (but with no
residual effect of snow pack). Part of the effect of snow pack on flowering may
be mediated through an increased probability of frost damage in years with lower
snow pack – the frequency of early-season “frost events”
explained a significant proportion of the variance in the number of flowers per
stem. There is significant reduction of flower production in La Niña
episodes. The variation in number of flowers we have observed is likely to
affect the pollination, mating system, and demography of the species. Through
its effect on snow pack, frost events, and their interaction, climate change may
influence all of these variables.
Incidental Nest Predation in Songbirds: Using Behavioral
Indicators to Determine Ecological Processes and Scales
K.A. Schmidt,
Visiting Assistant Professor of Biology, J.R. Goheen, and R. Naumann
Ecology 82, 2937-2947 (2001)
We examined the effects of separate removal experiments of two generalist
consumers, the white-footed mouse (Peromyscus leucopus), and the
eastern chipmunk (Tamias striatus), on nest predation rates of
forest songbirds. Mice are numerically dominant at our study sites and were
shown to be strong predators in other predator-prey interactions, such as those
involving gypsy moths. Therefore, we hypothesized that removal of mice would
result in decreased levels of nest predation relative to control treatments with
a complete predator assemblage, but that the removal of chipmunks would not
result in decreased nest predation. Both hypotheses were supported. Mice
depredated > 60% of artificial nests in control plots (mouse populations
intact), whereas chipmunks depredated ~ 20%. Daily nest mortality rates were
more than halved in mouse removal treatments relative to controls, but were
virtually identical between chipmunk removal and control treatments.
Nonetheless, when we examined predation rates across plots in which the density
of mice varied naturally, total daily mortality rates declined as the density of
mice increased. This pattern occurred because mortality from non-mouse
predators decreased as the density of mice increased and overwhelmed increasing
mortality from mice to drive the overall dynamics of the system. Analysis of
the relationships between the density of mice and predation rates by mice as a
function of the abundance of natural food in their environment revealed probable
reasons for these conflicting results. We suggest that high local densities of
mice deplete resources for larger, non-mouse predators, which preferentially
occupy areas of few mice and high local food abundance. In these areas,
songbirds may be faced with higher overall nest predation dominated by non-mouse
predators. Mice thus influence nest predation rates through both direct and
indirect pathways.
Experimental Removals of Strong and Weak Predators: Mice
and Chipmunks Preying on Songbird nests
K.A. Schmidt, Visiting Assistant
Professor of Biology, J. Goheen, R. Naumann, R.S. Ostfeld, E.M. Schauber, and A.
Berkowitz
Ecology 82, 2927-2936 (2001)
Incidental predation occurs when secondary prey items are encountered and
subsequently consumed not through directed search for such prey but through
their consequential encounter by a predator engaged in search for primary prey.
We developed a mathematical model that examines the relationships between the
abundance of primary prey, patch exploitation (i.e., quitting harvest rates),
and the rate of incidental predation on secondary prey items. The model's
predictions are dependent upon the spatial scale over which a forager integrates
foraging costs and thus determines its quitting harvest rate (QHR). At local
(i.e., foraging) spatial scales, we predicted incidental predation should
increase with local food abundance. Also at the foraging scale, local food
abundance should not influence QHRs, but local predation risk (from higher
trophic levels) should increase QHRs. Therefore, we predicted incidental
predation rates should be negatively correlated with QHRs. Greater food
abundance or predation risk experience over large (i.e., landscape) spatial
scales increases QHRs, and we predicted predation rates should vary inversely
with QHR through two complementary mechanisms: foragers use a greater proportion
of space and spend more time foraging as quitting harvest rates decrease.
We experimentally tested the qualitative predictions of the theory in the
field using artificial veery (Catharus fuscescens) nests depredated by
white-footed mice, Peromyscus leucopus, across three spatial scales. We
used the technique of giving-up densities to measure QHRs and determine the
scale at which mice integrate different foraging costs. In accord with our
predictions, at the foraging scale nest predation was positively influenced by
the local abundance of food. Also at the foraging scale, local predation risk
to mice and perhaps interference competition from chipmunks resulted in higher
giving-up densities and lower nest predation. At the landscape scale, there was
an inverse relationship between giving-up densities and nest predation, which
was likely the result of large scale differences in resource abundance between
plots. Our study demonstrates how linking theoretical development to the use of
empirical behavioral indicators can help determine the relevant ecological
scales and processes necessary for understanding predator-prey
interactions.
Site Fidelity in Habitats with Contrasting levels of Next
Predation and Brood Parasitism
K.A. Schmidt, Visiting Assistant Professor
of Biology
Evol. Ecol. Res. 3, 633-648
The phenomenon of site fidelity (i.e., remaining faithful to sites where an
individual has bred successfully in the past) has been documented for many taxa,
especially birds. These studies suggest that individuals may use a simple rule
of thumb: stay (or return) if breeding was successful, or switch to a new site
if breeding was unsuccessful (win-stay:lose-switch; WSLS). Using simulations, I
examined the evolutionary dynamics of the WSLS strategy in competition with two
alternative strategies: stay-always (SA; total site fidelity) and two forms of
an ideal free settling strategy (IFS; site indifferent). I considered two
habitats identical in all respects except that one habitat (low quality) had a
higher level of nest predation than the other. Between breeding seasons,
females either: (1) remained in a habitat if they successfully bred or otherwise
dispersed to the alternative habitat (WSLS); (2) remained in the habitat
regardless of their breeding success (SA); or (3) settled within habitats such
that the quality of the highest ranking unoccupied territory was equalized, when
possible, across habitats (IFS). The WSLS strategy invades and replaces either
of the alternative strategies. I then examined the consequences of the WSLS
strategy on population density and mean fecundity across two habitats that had
contrasting levels of nest predation or brood parasitism. Unlike contrasting
predation rates between habitats, higher levels of brood parasitism in the low
quality habitat rapidly drain away individuals from the better habitat. This
result, however, depended both qualitatively and quantitatively on differences
(or the lack thereof) in predation between the two habitats. A second
invasibility analysis conducted on populations experiencing contrasting brood
parasitism between habitats indicated that the WSLS resists invasion by the SA
strategy but not the IFS strategy. IFS resists invasions by either alternative.
Thus cowbird brood parasitism may rapidly drain individuals away from high
quality habitat because birds cannot discriminate between low and high quality
habitats. Parasitism furthermore alters the evolutionary dynamics of competing
site fidelity strategies.
Altered Leptin Signaling Is Sufficient, but not Required,
for the Hypotension Associated with Caloric Restriction
SJ Swoap,
Assistant Professor of Biology
Amer. J. Physiol. 281(6), H2473-H2479 (2001)
Inhibition of Leptin Signaling Pathways Reduces
Hypotensive Response to Caloric Restriction
Jennifer L. Barone ’03,
Jason I. Pack ’02, Graham B. Garber ’97, Steven J. Swoap, Assistant
Professor of Biology
FASEB Journal, 16(5), A485 (2001)
Remodeling of Gene Expression in the Reloaded Soleus
Muscle
Graham B. Garber ’97, Heather S. Thompson, Steven T. Rettke
’02, Brigitte D. Teissedre ’03, David S. Lewis ’03, Stylianos
P. Scordilis, Steven J. Swoap, Assistant Professor of Biology
FASEB Journal, 16(5), A760 (2002)
Effect of Torpor on Ucp Expression in Mouse
Tissues
Steven J. Swoap, Assistant Professor of Biology, Natalie A.
Stephens ’03, Graham B. Garber ’97, Joyce Sun, James Stoppani, P.
Darrell Neufer
FASEB Journal, 16(5) A42 (2002)
Diaphragm Contractile Dysfunction in MyoD Gene
Inactivated Mice
JL Staib, SK Powers, SJ Swoap, Assistant Professor of
Biology, MA Rudnicki
FASEB Journal, 16(5) A767 (2002)
Choreography of Song, Dance, and Beak Movements in the
Zebra Finch (Taeniopygia guttata)
Heather Williams, Professor of
Biology
J. Exp. Biol. 204 3497-3506 (2001)
As do many songbirds, zebra finches sing their learned songs while
performing a courtship display that includes movements of the body, head and
beak. The coordination of these display components was assessed by analyzing
video recordings of courting males. All birds changed beak aperture frequently
within a single song, and each individual’s pattern of beak movements was
consistent from song to song. Birds that copied their fathers’ songs
reproduced many of the changes in beak aperture associated with particular
syllables. The acoustic consequences of opening the beak were increases in
amplitude and peak frequency, but not in fundamental frequency. The change in
peak frequency is consistent with the hypothesis that an open beak results in a
shortened vocal tract and so a higher resonance frequency. Dance movements
(hops and changes in body or head position) were less frequent, and the
distribution of dance movements within the song was not as strongly patterned as
for changes in beak aperture, nor were the peaks in the distribution as strongly
marked. However, the correlation between the positioning of dance movements
within fathers’ and sons’ songs was striking, suggesting that the
choreography of dance patterns is transmitted from tutor to pupil along with the
song.
CHEMISTRY
ESR Analysis at Treugol’naya Cave, Russia: Dating
Lower Paleolithic Occupations in the Northern Caucasus
Bonnie A. B.
Blackwell, Research Scientist, Natalie L. Rosenwasser, Sergey V. Mass, Joel I.
B. Blickstein, Anne R. Skinner, Senior Lecturer of Chemistry
Proceedings of the 32nd International Archaeometry
Symposium (2001)
At 1510 m elevation, Treugol’naya Cave is the highest cave showing
evidence for human usage in the Northern Caucasus, Russia. It also contains the
oldest archaeological deposits in Europe east of the Carpathian Mountains, which
include numerous tools made from various raw materials assigned to three
different Lower Paleolithic flake tool industries and a pebble tool industry.
These occur with abundant faunal remains, including several extinct Middle
Pleistocene species.
Electron spin resonance (ESR) can date tooth enamel from 10 ka to 5 Ma in
age. Five cervid teeth associated with the Lower Paleolithic archaeological
layers have been dated using standard and isochron ESR analysis. Using a
volumetrically averaged external dose rate measured for the sediment, and
assuming linear uptake (LU), two teeth from Layer 4β gave a preliminary age
of 338 ± 17 ka, while two teeth from Layer 4B yielded an age of 381 ±
16 ka, which agrees with the isochron age for one of those teeth. Using a
time-averaged external dose rate derived from the isochron analysis, six
independent analyses for a tooth from layer 5b averaged 406 ± 16 ka,
assuming LU. The two isochron analyses indicate that neither tooth experienced
any significant U leaching or secondary uptake, and that LU provides a
reasonable model for the uptake. Therefore ESR, paleomagnetic, palynological
and paleontological analyses all suggest that Layer 5b correlates best with the
Oxygen Isotope Stage (OIS) 11, while Layer 4B correlates with late OIS 11 or
early OIS 10, and Layer 4β probably with OIS 9. ESR dating using tooth
enamel can yield valuable data for Treugol’naya Cave, but more dates and
sedimentary analyses are necessary to test the ages for other units in the
deposits and to check for reworked teeth in all units.
Illustrating Chemical Concepts with Coin
Flipping
Raymond Chang, Professor of Chemistry, and John W. Thoman, Jr.,
Professor of Chemistry
The Chemical Educator, 6, 360-361 (2001)
Three classroom demonstrations, which involve the participation of students
flipping coins, are described. The half-life of a first-order chemical reaction
is illustrated by standing students sitting down when they flip a
“tails.” Dynamic chemical equilibrium is illustrated by students
standing or sitting depending on the outcome of coin-flips. In a third
demonstration, the motion of gas molecules from one bulb to another is governed
by the flip of a coin, showing the improbability of all the molecules gathering
in just one bulb.
The Bacillus subtilis Competence Transcription
Factor, ComK, Overrides LexA-imposed Transcriptional Inhibition without
Physically Displacing LexA
Leendert W. Hamoen, Bertjan Haijema, Jetta J.
Bijlsma, Gerard
Venema, and Charles M. Lovett, Professor of
Chemistry
J. Biol. Chem., 276(46), 42901-42907 (2001)
During the development of competence in Bacillus subtilis the
recA gene is activated by the competence transcription factor, ComK,
which is presumably required to alleviate the transcriptional repression of
recA by LexA. To investigate the mechanism by which ComK activates
recA transcription we examined the binding of ComK and LexA to the
recA promoter in vitro. Using hydroxyl radical protection analyses to
establish the location of ComK dimer-binding sites within the recA
promoter, we identified four AT-boxes in a configuration unique for
ComK-regulated promoters. Gel mobility shift experiments showed that all four
ComK dimer-binding sites were occupied at ComK concentrations in the
physiological range. In addition, occupation of all ComK-binding sites did not
prevent LexA from binding to the recA promoter, despite the fact that the
ComK and LexA recognition motifs partially overlap. Although ComK did not
replace LexA from the recA promoter, in vitro transcription analyses
indicated that the presence of ComK is sufficient to alleviate LexA repression
of recA.
Transformation and Recombination
Dubnau, D. and
Lovett, C.M.
In Bacillus subtilis and Its Relatives: From Genes to Cells,
Sonenshein, Losick, and Hoch (eds.)
ASM Press, Washington, D.C., 2002.
Translocation within the Acceptor Helix of a Major tRNA
Identity Determinant
Martha A. Lovato, Joseph W. Chihade, Assistant
Professor of Chemistry, and Paul Schimmel
EMBO Journal, 20, 4846-4853 (2001)
The genetic code is defined by the specific aminoacylations of tRNAs by
aminoacyl-tRNA synthetases. Specificity is achieved through recognition of tRNA
identity elements by the synthetases. Although the synthetases are widely
conserved through evolution, aminoacylation of a given tRNA is often
system-specific, that is, a synthetase from one source will not acylate its
cognate tRNA from another. This system specificity is commonly due to
variations in the sequence of a critical tRNA identity element that is
compensated by a sequence change in the synthetase contact residue(s). In
bacteria and the cytoplasm of eukaryotes throughout evolution, an acceptor stem
G3:U70 base pair marks a tRNA for aminoacylation with alanine. In contrast,
D. melanogaster (Dm) mitochondrial (mt) tRNAAla has a G2:U71
base pair but not a G3:U70 pair. Here we show that this translocated G:U and
the adjacent G3:C70 are major determinants for recognition by Dm mt alanyl-tRNA
synthetase. In addition, G:U at the 3:70 position serves as an antideterminant
for Dm mt AlaRS. As a consequence, the mitochondrial enzyme cannot charge a
substrate with the major identity element from cytoplasmic tRNAAla.
Most or all insect mitochondrial alanyl-tRNA synthetases appear to have split
apart recognition of mitochondrial from cytoplasmic tRNAAla by
translocation of G:U. This splitting apart may be essential for preventing the
introduction of ambiguous states into the genetic code.
Carnot Cycle Revisited
Enrique
Peacock-López, Professor of Chemistry
The Chemical Educator, 7, 127-131 (2002)
Sadi Carnot stated that the efficiency of a reversible Carnot cycle is
independent of the properties of the material used to run the cycle. Using this
statement, all textbook discussions of the Carnot cycle use an ideal gas. Here,
in contrast, we consider, in the spirit of the Caratheodory approach, a general
analysis centered on the existence of an integrating factor that transforms an
inexact differential into an exact differential. Also we derive a general
relation between temperature and volume along an adiabatic path. Using these
two results, we obtain the efficiency of the Carnot cycle η = 1 -
TC / TH, for any equation of state.
ESR Dating at the Burnham Site, Oklahoma
Anne R.
Skinner, Senior Lecturer of Chemistry, A. B. Blackwell, Research Scientist,
Henry P. Schwarcz, and Donald G. Wycoff
Proceedings of the 32nd International Archaeometry
Symposium (2001)
The Burnham Site occurs in a short-lived pond deposit. The pond formed in
a gulley eroded into a soil dated at 34-36 +/- 2-4 kyr BP by AMS radiocarbon.
Snails living during the pond’s deposition were dated at 31-36 +/- 2-9 kyr
BP. Fossils from species now either extinct or extirpated from North America
were found associated with what appear to be resharpening flakes from scrapers
and knives. ESR (electron spin resonance) dating uses the radiation-sensitive
signal occurring in fossil tooth enamel. ESR was used to independently date six
subsamples from one Equus tooth closely associated with the artifacts. The
tooth’s standard ESR ages averaged 37 +/- >4 ka (assuming early uptake
of uranium into the tooth), and 68 +/- 7 ka (assuming linear uptake). Isochron
analysis is consistent with these ages. These ages are consistent with the
radiocarbon results.
Solid Phase Organic Synthesis and Combinatorial
Chemistry: A Laboratory Preparation of Oligopeptides
George A. Truran,
Karelle S. Aiken ’00, Thomas R. Fleming ’00, Peter J. Webb
’02, and J. Hodge Markgraf, Professor of Chemistry
emeritus
Journal of Chemical Education, 79, 85-86 (2002)
The principles and practice of solid phase organic synthesis and
combinatorial chemistry are utilized in a laboratory preparation of
oligopeptides. A parallel synthesis scheme is used to generate a series of
tripeptides. A divergent synthesis scheme is used to prepare two pentapeptides,
one of which is leucine enkephalin, a neurotransmitter known to be a
naturally-occurring analgesic agent in the brain.
COMPUTER
SCIENCE
Foundations of Object-Oriented Languages: Types and
Semantics
Kim B. Bruce
MIT Press, 2002.
Abstract: In recent years, object-oriented programming has emerged as the
dominant computer programming style, and object-oriented languages such as C++
and Java enjoy wide use in academia and industry. This text explores the formal
underpinnings of object-oriented languages to help the reader understand the
fundamental concepts of these languages and the design decisions behind
them.
The text begins by analyzing existing object-oriented languages, paying
special attention to their type systems and impediments to expressiveness. It
then examines two key features: subtypes and subclasses. After a brief
introduction to the lambda calculus, it presents a prototypical object-oriented
language, SOOL, with a simple type system similar to those of class-based
object-oriented languages in common use. The text offers proof that the type
system is sound by showing that the semantics preserves typing information. It
concludes with a discussion of desirable features, such as parametric
polymorphism and a MyType construct, that are not yet included in most
statically typed object-oriented languages.
Fifth Workshop on Foundations of Object-Oriented
Programming
Kim B. Bruce and Didier Remy, eds.
Information and Computation, 172 (2002), no. 1
Abstract: This issue contains papers selected from the fifth Workshop on
the Foundations of Object-Oriented Languages (FOOL), held in San Diego,
California on January 17 and 18, 1998, in conjunction with the 25th ACM
Symposium on Principles of Programming Languages (POPL ’98). The workshop
consisted of three invited lectures, and 12 contributed papers selected by the
program committee. The three papers in this issue were selected from those
presented at the workshop.
Teaching Breadth-first Depth-first
Thomas Murtagh,
Professor of Computer Science
ItiCSE Proceedings, pp. 37 – 40 (2001)
This paper argues that current approaches to teaching the introductory
course for the CS major fail to provide students with an accurate sense of the
nature of our field. We propose that an introductory course focused on a single
sub-field of our discipline could better prepare potential majors by using that
sub-field as a vehicle to present an overview of the techniques and principles
fundamental to computer science. We discuss our experience with such a course
based on the field of computer networks.
Architecting Dynamic Systems Using
Containment
Barbara Lerner, Assistant Professor of Computer Science, Leon
J. Osterweil, Jamieson M. Cobleigh, Lori A. Clarke
Units Working Conference on Complex and Dynamic System Architectures,
Brisbane, Australia, December 2001
Dynamic Octree Load Balancing Using Space-Filling
Curves
James D. Teresco, Assistant Professor of Computer Science
and
Paul C. Campbell, Joseph E. Flaherty, Luis G. Gervasio, Karen D. Devine
Journal of Parallel and Distributed Computing (2002)
The Zoltan dynamic load balancing library provides applications with a
reusable object oriented interface to a range of load balancing methods,
including coordinate bisection, octree/space filling curve methods, and
multilevel graph partitioners. We describe enhancements to Zoltan's octree load
balancing procedure and the distributed octree structures used therein. These
include improved performance of the space filling curve (SFC) procedures that
exploit similarities between octree and SFC construction, and a new distributed
octree that maintains the tree structure between successive repartitionings.
The new SFC implementation includes efficient Morton, Gray code, and Hilbert
orderings. Maintaining the tree avoids the cost of rebuilding at each
rebalancing step and enhances performance and scalability with dynamic adaptive
computations. We present the results of a number of scalability and partition
quality studies utilizing the new octree structures and orderings.
GEOSCIENCES
Undergraduate Research Projects Provide a 30-Year Record
of Change in a Fringing Reef Complex at Mary Creek, Virgin Islands National
Park
Rónadh Cox, Assistant Professor of Geosciences
Geological Society of America Abstracts with Programs, 33,
A166 (2001)
Decline in the diversity and abundance of hard corals in reef environments
worldwide is a current focus of substantial research and conservation effort.
Understanding the changes requires long-term records of reef environments, but
relatively few such records exist. The Mary Creek fringing reef complex (MCRC),
in the Virgin Islands National Park on St. John, has been the site of several
undergraduate research projects over the last thirty years, including an Amherst
College field research seminar in 1968, Williams College senior thesis projects
in the late 80s and early 90s, and a Williams field research course in 1998.
Since creation of the National Park in 1956, the reefs have been subject to
increasing tourist visitation and infrastructure construction, as well as
hurricanes and climate change, but the net effects are unknown because
continuous reef-monitoring programs in the park began only in 1989. The
undergraduate projects were not undertaken with the intent of reef monitoring,
but the accumulated data track large-scale changes in the MCRC between 1968 and
1998. To the best of our knowledge, the MCRC is the only reef in the area for
which a 30-year record exists, making this site an excellent candidate for a
continued reef-monitoring study.
Substantial changes in the MCRC over the last thirty years include severe
loss of living coral cover, and infilling of the back-reef lagoon. In 1968, the
reef crest zone was dominated by dense stands of Acropora palmata, with
subordinate but prominent colonies of A. cervicornis. By 1986, however,
A. palmata occurred in less than 5% of surveyed quadrants, and the 1998
survey encountered only two living colonies. In 1968, a prominent western reef
lobe was populated with A. cervicornis, but in 1986 it was recorded in
less than 2% of quadrants surveyed. The 1998 map indicates that the A.
cervicornis lobe no longer exists as a resistant structure and is probably
represented by an extended rubble zone at the western edge of the MRCR. In
1968, depths in the lagoon averaged 1.5 m and in places were in excess of 2 m.
In 1998, in contrast, the average depth was approximately 0.4 m, and the deepest
high-tide water level recorded in the back-reef was 0.6 m. This corresponds to
a net sediment accumulation rate of approximately 3.6 cm/year.
A Newly-Recognized Late Neoproterozoic Metasedimentary
Sequence in Central Madagascar Suggests Terrane Juxtaposition at 560±7 Ma
During Gondwana Assembly
Rónadh Cox, Assistant Professor of
Geosciences
Drew S. Coleman, Univ. North Carolina
Joseph L. Wooden, U.S.
Geological Survey
Stephen B. DeOreo ’01
Geological Society of America Abstracts with Programs, 33,
A436 (2001)
Two distinct Proterozoic metasedimentary packages (Itremo Group and
newly-recognized Molo sequence) are preserved in central Madagascar. The units
are lithologically similar and are tectonically interleaved. Consequently, they
are distinguishable only on the basis of their detrital zircon populations.
Zircon populations in the younger Molo sequence and associated granitoid rocks
are significant because they suggest that rocks exposed in central Madagascar
represent two distinct crustal blocks, which were deformed and metamorphosed
together at 560±7 Ma.
Detrital zircon populations define mutually exclusive age brackets for the
two sequences. The Itremo Group, of probable Mesoproterozoic age, was deposited
some time after 1722±40 Ma (youngest concordant detrital age) and before
795±8 Ma (age of oldest dated intrusive rocks). The Molo sequence contains
detrital grains equivalent in age to the granites that intrude the older Itremo
Group, and was therefore deposited in the Neoproterozoic, after 647±29
(youngest concordant detrital age), and before regional metamorphism at
560±7 Ma. In addition to their different ages, the two units have
dramatically different provenance signatures. The Itremo Group has five
distinct detrital zircon populations between 1875 and 2690 Ma in age (n = 271).
In contrast, concordant detrital ages in the Molo Sequence range from 741 to
1075 Ma (n = 79), indicating a period of uplift and sedimentation post-dating
Itremo Group deposition and intrusion.
The Molo sequence detrital grains resolve into four age populations with
averages at approximately 640±20 Ma (10% of grains analyzed), 830±10
Ma (45%), 950±10 Ma (35%) and 1065±15 Ma (10%). The presence of
grains in the 1000-1100 Ma (Kibaran) range is highly significant, because no
crystalline rocks of that age have been found in Madagascar although
Kibaran-aged rocks are common in most Rodinia fragments. Possible basement to
the Molo sequence is represented by associated 800 Ma granitoids that also have
Kibaran inheritance, suggesting that these rocks together may represent a
fundamentally different terrane than that which underlies the Itremo Group and
most of central/northern Madagascar. We interpret the 560±7 Ma
metamorphism to record the amalgamation of the two crustal blocks.
Diagenetic Origin for Quartz-Pebble
Conglomerates
Rónadh Cox, Assistant Professor of
Geosciences
Ethan D. Gutmann ’99 and Patricia G. Hines
’00
Geology, 30, 323-326 (2002)
The occurrence of quartz-pebble conglomerates (QPC) in the rock record
increases backward through time from the Tertiary through the Precambrian. The
positive correlation between QPC abundance and age is valid both for numbers of
reported QPC and for QPC as a percentage of all conglomerate, and at both the
era and the period level. QPC are usually interpreted as due to intense
chemical weathering, protracted transport, or sediment recycling, but none of
these can account for the age distribution of QPC, which is the opposite of the
global mass-age distribution for sedimentary rocks. Precambrian and Tertiary
conglomerates with similar sources and sedimentology have vastly different clast
populations, with non-quartzose clasts much more abundant in the younger rocks.
Comparison of the petrology of QPC and polymict conglomerates shows that QPC
have consistently higher proportions of diagenetic secondary matrix and
pressure-solved grain contacts. We conclude that diagenetic factors play an
important role in QPC formation by preferentially destroying less durable
clasts.
Quartz-Pebble Conglomerates: Do They Form During
Diagenesis?
Rónadh Cox, Assistant Professor of
Geosciences
Ethan D. Gutmann ’99 and Patricia G. Hines
’00
Geological Society of America Abstracts with Programs, 34,
A62-63 (2002)
In quartz-pebble conglomerates (QPC) more than 90% of the clasts consist of
vein quartz, chert, and quartzite. Thick, laterally extensive QPC are
well-known in the rock record, but no such deposits are forming in modern
environments. QPC occurrence, as measured by records in the AGI GeoRef
database, increases backward through time from the Tertiary through the
Precambrian. The inverse relationship between QPC abundance and stratigraphic
age is seen both in numbers of reported QPC and in QPC as a percentage of all
conglomerate records. This is in direct contrast to the record for sedimentary
rocks as a whole, which show a well-documented decrease in preserved volume with
increasing geologic age.
We propose that progressive diagenesis, whereby labile clasts have a
greater probability of selective destruction over time, provides the best
explanation for this distribution. Evidence in support of this hypothesis comes
from petrologic comparison of polymict and quartz-pebble conglomerates.
Precambrian and Tertiary conglomerates with similar sources and sedimentology
have vastly different clast populations, with non-quartzose clasts much more
abundant in the younger rocks. In addition, petrologic comparison of
similar-aged QPC and polymict conglomerates shows that QPC have consistently
higher proportions of diagenetic secondary matrix and pressure-solved grain
contacts. We do not propose that all QPC originate diagenetically, and
acknowledge that protracted transport, intense chemical weathering, and sediment
recycling may all produce QPC. We conclude, however, that diagenetic factors
can play an important role in QPC formation by preferentially destroying less
durable clasts, and that this may provide the best explanation in cases where
independent evidence for an alternative mechanism is lacking and appropriate
petrologic indicators are present.
Pleistocene Incision Rates in the Western United States
Calibrated Using Lava Creek B Tephra
David P. Dethier, Professor of
Geosciences
Geology, 29 (9), 783-786 (2001)
The Lava Creek B ash bed, erupted from the Yellowstone caldera ca. 0.64 Ma,
provides a datum for measuring long-term fluvial incision west of the
Mississippi River. The ash is widely preserved due to its substantial volume,
broad initial dispersal, and the aggrading environment into which the ash fell.
Drainages incised soon after Lava Creek B deposition, isolating the ash from
fluvial erosion and preserving it in fill terraces. Calculated rates of
incision since ca. 0.60 Ma range from 2 to 30 cm k.y.-1. Rates are
high in most areas near the Rocky Mountains and downstream along rivers draining
mountainous terrain, and are lowest east of the High Plains and along the Snake
River. Incision rates along many rivers decrease downstream. Rates of
downcutting increased in the late Pleistocene along several major rivers,
indicating that climate change altered sediment budgets. Regional and temporal
data suggest that fluvial incision records increased middle and late Pleistocene
runoff from the southern Rocky Mountains, rather than epeirogenic uplift, but
regional rock uplift cannot be excluded as a significant factor.
Cosmogenic Analysis of the Rocky Flats Alluvium Near
Boulder, Colorado
David P. Dethier, Professor of Geosciences
Taylor
Schildgen ’00
Paul Bierman ’85, Univ. of Vermont
Marc Caffee,
Lawrence Livermore Laboratory
Geological Society of America Abstracts with Programs, 33
(6), A312-313 (2001)
Analysis of a 4 m deep cosmogenic isotope profile from Rocky Flats Alluvium
near Boulder, Colorado shows that nuclide abundance decreases with depth,
consistent with a variety of interpretive models. The Rocky Flats is the most
extensively exposed older piedmont alluvium in the vicinity of Denver.
Correlative alluvial deposits and remnant erosional surfaces extend regionally
along the Front Range and tens of km east into the High Plains ca. 100 m above
modern channels. Stratigraphic and geomorphic relations demonstrate that Rocky
Flats Alluvium is younger than middle Pliocene and older than ca. 0.6 Ma.
Regional paleontologic evidence and ages inferred from soil carbonate
accumulation imply that deposits are early Pleistocene. Most workers suggest
that the Rocky Flats and younger alluvial sequences correlate with glaciation in
the Front Range, but alluvium in the type area was deposited by streams that
drain unglaciated catchments.
We collected a 9-sample sequence from the surface to –4.2 m in
oxidized, clast to matrix-supported gravel exposed temporarily during
realignment of an irrigation canal. 10Be activity in quartz grains
from the sand fraction ranges from 3.12 *106 atoms/gram in a strongly
developed Bt horizon buried 0.25 m below the surface to 0.77 *106 at
a depth of 3.7 m. Several scenarios constrained by muon production <2% and
SL, >60o 10Be production of 5.17 atoms g-1
y-1 fit the nuclide data equally well. A simple, steady erosion
model (3.7 m My-1) and time since deposition of 2 My require high
inheritance (2.1 *106 atoms g-1), equivalent to source
basin erosion of 9.4 m My-1. A no-erosion, exposure model implies
deposition of alluvium at 0.2 Ma with inheritance (9*105 atoms
g-1 10Be), equivalent to a source basin erosion rate of 22
m My-1. Multi-stage models (fan surface is stable, then episodically
eroded 1 to 4 m, then stable again) fit the data equally well and are supported
by geologic and pedologic evidence. The fit of such models is optimized by
original deposition at ca. 1.5 Ma, stripping between 0.1 and 0.2 Ma, and
inheritance of ca. 106 atoms g-1 10Be. In all
models, high density (2.4 g cm3) and significant inheritance
(>106 atoms g-1) are key to good fits.
Episodic Pliocene and Pleistocene Drainage Integration
along the Rio Grande Through New Mexico
James C. Cole, Byron D. Stone, R.
R. Shroba, U.S. Geological Survey
David P. Dethier, Professor of
Geosciences
Geological Society of America Abstracts with Programs, 33
(6), A-357 (2001)
Drainage through the Rio Grande tectonic rift zone has evolved over the
last several million years from multiple closed basins, to interconnected basin
systems, to a fully integrated system that drains from Colorado to the Gulf of
Mexico. The evolution has been affected to variable degrees by tectonic
subsidence/uplift, by episodic dams formed by basalt and ash-flow eruptions, and
by sediment-supply factors along different segments of the rift zone. We
compare the sedimentation/incision history of the Santa Fe-Socorro reach of the
Rio Grande with the Socorro-El Paso reach, and with the headwaters-Taos reach,
to show that each drainage segment evolved independently until a through-flowing
connection was established between pairs of them. The Santa Fe-Socorro reach
was a closed-basin system through the middle Pliocene, when it connected
southward after about 3.4 Ma (Mack and others, 1993). Sedimentation in the
lower, closed basins of the Socorro-El Paso reach (Lake Cabeza de Vaca of Gile
and others, 1981) was fed by material incised from the Miocene-lower Pliocene
closed-basin deposits along the Santa Fe-Socorro reach. Shortly before about
750 ka (Bishop ash), the integrated Santa Fe-El Paso reach was captured by
drainage that connected to the Gulf of Mexico (Gile and others, 1981; Mack and
others, 1993). The headwaters-Taos reach remained isolated from the Rio Grande
until erosion cut through the basalt dam of the Taos volcanic plateau after
about 690 ka (Wells and others, 1987). We interpret the sedimentologic and
chronologic record of the last 5 million years to indicate that progressive
change toward cooler, wetter climate has been more significant that tectonics in
driving drainage integration for the region.
Continental Island from the Upper Silurian (Ludfornian
Stage) of Inner Mongolia: Implications for Eustasy and
Paleogeography
Markes E. Johnson, Professor of Geosciences
J. Rong,
C. Wang, and P. Wang, Nanjing Inst. Of Geology and Palaeontology
Geology, 29, 955-958 (2001)
An unconformity between the Silurian Xibiehe Formation and Ordovician
igneous rocks marks the perimeter of a small paleoisland near Bater Obo in
north-central Inner Mongolia, 180 km northwest of the provincial capital of
Hohhot. The stratigraphic position of the lower part of the Xibiehe Formation
is correlated by means of conodonts with the upper part of the Ancoradella
ploeckensis Zone in the basal Ludfordian Stage (corresponds to mid-Ludlovian
Epoch, ca. 421 Ma). Elongate in plan (610 m x 200 m), the exhumed diorite core
rises 30 m above the lowest elevations of surrounding Silurian strata.
Paleoshores along the principal axis of the inlier delineate contrasting facies.
Robust stromatoporoids are in growth position within silty limestones, some
directly encrusting the unconformity surface of the sheltered southeast margin.
A basal conglomerate of diorite cobbles and boulders characterizes the
high-energy northwest margin. The depositional constraints and timing of
transgressive facies associated with this continental paleoisland have
implications for the eustatic and paleogeographic history of the parent
Sino-Korean plate. Burial of the island corresponds to the beginning of a
global rise in sea level that peaked in late Ludlovian time. Our interpretation
of windward and leeward facies requires an approximate 90º clockwise
rotation of the parent plate to accommodate the dominant pattern of low-latitude
trade winds and storms.
Miocene-Pleistocene Tectono-Sedimentary Evolution of
Bahía Concepción Region, Baja California Sur
(Mexico)
Markes E. Johnson, Professor of Geosciences
J.
Ledesma-Vázquez, Univ. Autonoma de Baja California
Sedimentary Geology, 144, 83-96 (2001)
Bahía Concepción is one of the largest fault-bound bays in
the Gulf of California. It is one of the area’s best examples of an
extensional basin, and an accommodation zone related to the Late Miocene
extension in the Gulf of California region. Extensional tectonics in the Gulf
region initiated from middle to early Late Miocene, in a simple east-west
manner. The units within the Comondú Group are tilted between 14 and 45o
in opposite directions (E/W), as a direct result of a single main extensional
episode. This event produced subsidence that created the depocenters for
nearshore marine basins. The oldest sedimentary units present in the region are
assigned to the Late Miocene-early Pliocene Tirabuzón Formation.
Up-faulted granodiorite basement occurs on the Peninsula Concepción and
at Punta San Antonio as a direct result of the Late Miocene extensional episode.
Extension on the Bahía Concepción zone was responsible for
development of a divided half-graben structure first flooded in Late Pliocene
time.
The tectono-sedimentary evolution of Bahía Concepción is
recorded by three stratigraphic stages: (1) pre-rift strata represented by the
Comondú Group, (2) a syn-rift unconformity, and (3) post-rift strata
represented by the Late Miocene to Pliocene flat laying sedimentary units. This
triad of stratigraphic stages clearly varies from other basins along the margin
of the Gulf of California.
Upper Pleistocene terrace deposits generally conform to the 6-12 m
elevation regionally associated with substage 5e. Their uniformity in elevation
inside and outside Bahía Concepción indicates that tectonic uplift
was locked in step throughout the immediate region at least since that
time.
Discovering the Geology of Baja California – Six
Hikes on the Southern Gulf Coast
Markes E. Johnson, Professor of
Geosciences
The University of Arizona Press, 240 p. (2002)
Baja California: wild, desolate, and a treasure-house of geological
wonders. Along its ancient shorelines, careful observers can learn much about
how the Gulf of California came into existence and what the future of the Baja
California peninsula might be.
For those who wish to unlock the mysteries of Baja California, geologist
Markes Johnson offers the key. He has taken a body of technical research on the
geology and paleontology of the region and made it accessible in plain language
for anyone who visits the peninsula, whether for study or recreation. His book
teaches general concepts in coastal geomorphology and tectonics, as well as the
basic geological and natural history of the Gulf of California, in a conversive,
intellectually stimulating fashion.
Johnson’s guide takes the form of six day-long hikes in the area of
Punta Chivato on the east coast of the southern Baja California peninsula.
Punta Chivato is represented as a microcosm of the entire region; it can enable
visitors to better understand major themes in the natural history of the Gulf of
California and its geological past. All of the hikes begin at the southeast
corner of the Punta Chivato promontory and loop out in different directions.
Each circuit is designed to minimize overlap with adjacent hikes and to maximize
the visitor’s exposure to instructive variations in the
landscape.
Discovering the Geology of Baja California invites visitors to these
shores to explore not only rocks and fossils but also the continuum of past
ecosystems with the ecology of the present. It offers both an unparalleled
guide to a remote area and a new understanding of life caught in an endless
cycle of change.
Geochronology and Geochemistry of the Shelburne Falls
Arc: The Taconic Orogeny in Western New England
Paul Karabinos,
Professor of Geosciences
J. C. Hepburn, Boston College
Guidebook for Geological Field Trips in New England, H1-H20
(2001)
The Ordovician Taconic orogeny in western New England was typically
ascribed to a collision between the Laurentian margin and a magmatic arc
identified as the Bronson Hill arc. However, in central Massachusetts and
southern New Hampshire, rocks in the Bronson Hill arc are 454 to 442 Ma (Tucker
and Robinson, 1990) and, therefore, younger than the onset of Taconic
metamorphism in western New England and Quebec, which began by approximately 470
to 460 Ma (Laird and others, 1984; Castonguay and others, 1997). Karabinos and
others (1998) used U-Pb zircon ages and geochemistry to document the presence of
an older magmatic arc, the Shelburne Falls arc, which formed west of the Bronson
Hill arc by approximately 485 to 470 Ma above an east-dipping subduction zone.
The Taconic orogeny was the result of the collision between Laurentia and the
Shelburne Falls arc beginning at approximately 470 Ma. The younger Bronson Hill
arc formed above a west-dipping subduction zone that developed along the eastern
edge of the newly accreted terrane after the Taconic orogeny. The Taconic
orogeny ended when plate convergence between Laurentia and Iapetus was
accommodated by the newly developed west-dipping subduction zone instead of by
crustal shortening in the Taconian thrust belt.
How Do Orogenies End? An Example from the Taconic
Orogeny in the Northern Appalachians
Paul Karabinos, Professor of
Geosciences
Geological Society of America Abstracts with Programs, 33,
A-260 (2001)
A viable tectonic model must not only explain the architecture of an
orogenic belt in terms of plate interactions, but also account for how the
orogeny ended. The Taconic orogeny is commonly attributed to collision of
Laurentia with an arc that formed above an east-dipping subduction zone. The
end of the Taconic orogeny must be related to a reconfiguration of plate
boundaries that transferred convergence from the orogen to a new subduction
zone. Accurately determining the time span of the Taconic orogeny in western
New England and Quebec is critical to this problem. Currently the orogeny is
constrained by the oldest metamorphic cooling ages of Laurentian rocks (ca. 470
Ma; Laird et al., 1984, Castonguay et al; 2001) and deposition of the youngest
syn-orogenic flysch in the Taconic thrust belt (ca. 452 Ma, Bradley, 1989, using
the timescale of Tucker and McKerrow, 1995). Karabinos et al. (1998) argued
that the Shelburne Falls arc (485 to 470 Ma) collided with Laurentia rather than
the Bronson Hill arc (454 to 442 Ma; Tucker and Robinson, 1990). Because a
continent-arc collision stops the continuous supply of oceanic lithosphere to
the subduction zone, Karabinos et al. (1998) also hypothesized that the Bronson
Hill arc formed above a new west-dipping subduction zone near the Laurentian
margin, after a flip in subduction polarity. Although it is possible that the
Bronson Hill arc formed above an east-dipping subduction zone far from the
Laurentian margin (e.g. Van Staal et al., 1998), the spatial overlap of older
and younger arc-related rocks in Connecticut and New Hampshire suggests that the
Bronson Hill arc formed near Laurentia. Because the Bronson Hill arc began to
form at approximately the same time that the Taconic orogeny ended, it is likely
that initiation of the new west-dipping subduction zone was instrumental in
bringing the orogeny to a close. Prevalent 40Ar/39Ar cooling ages in western
New England in the range of 450 to 440 Ma probably record orogenic collapse and
rapid exhumation of rocks in the Taconic thrust belt following polarity
reversal, analogous to the present situation in Taiwan.
Geology of the City of Rocks National Reserve: New
Insights from Keck Geology Consortium Undergraduate Research
Kevin Pague,
Whitman College
Paul Karabinos, Professor of Geosciences, et al.
Geological Society of America Abstracts with Programs, 33
(6), A-123 (2001)
The City of Rocks National Reserve encompasses a scenic landscape of fins,
spires, and domes eroded from the Oligocene Almo Pluton and the Archean Green
Creek Complex in the core of the Albion Range metamorphic core complex. The
“Silent” City of Rocks was a landmark on the California Trail that
was often mentioned in the diaries of the forty-niners. Recent human history
has been the focus of most of the interpretive resources of the National Reserve
in spite of its fascinating geologic history. In the summer of 2000, a Keck
Undergraduate Research Project was conducted in an effort to better understand
the processes and geologic controls that created the spectacular landscape and
to communicate these concepts to park staff. Individual student projects
addressed geologic problems that are often the source of visitors’
questions. The results of the projects were made available to park staff, and a
route for a geologic interpretive trail was laid out.
The primary results of the student projects can be summarized as follows:
Joint sets in the City of Rocks are the most important factor in controlling the
spacing, shape, and distribution of rock outcrops. Individual joint sets can be
tied to discrete tectonic events. For example, a north-striking joint set
related to Oligocene extension hosts hydrothermal alteration and mineralization
and is responsible for the formation of the major “avenues” of the
City of Rocks. Panholes have played a very important role in shaping and
lowering the surfaces of rock outcrops; their shape and size evolves through
time in a predictable manner. Flare structures along the bases of outcrops are
not randomly distributed but can be related to parameters such as aspect, slope,
and soil moisture. The Circle Creek Basin which contains the City of Rocks
appears to have developed through discrete stages of relative stability
separated by periods when the erosion of deeply weathered granite was
accelerated as a result of climatic changes, tectonic uplift, or both.
Extension Tectonics of the Acadian Orogeny
Paul
Karabinos, Professor of Geosciences
Matthew Student ’01
Geological Society of America Abstracts with Programs, 34,
A-28 (2002)
Tectonic models for the Devonian Acadian orogeny in the New England
Appalachians typically invoke two major periods of crustal shortening: an early
phase of recumbent folding followed by an upright doming event. In the western
part of the Acadian orogen, Devonian deformation overprinted the Ordovician
Taconic thrust belt. An alternative interpretation of the numerous domes in the
western part of the Acadian orogen is that they record large-scale ductile
extension. Evidence for extension includes dramatic tectonic thinning of
Paleozoic units and synmetamorphic exhumation of foot-wall rocks. The best
evidence for normal faulting is in the Chester dome in southeastern Vermont.
There stratigraphic separation diagrams clearly show that Cambrian and
Ordovician units have been excised by faulting; locally Middle Proterozoic
basement rocks are separated from Silurian units by less than 0.5 km! Acadian
extension occurred during garnet-grade metamorphism on low-angle, nearly-planar
normal faults. Kinematic indicators reveal that hanging wall rocks were
displaced to the southwest. The Chester dome is defined by a folded mylonitic
foliation. During dome-stage folding, the mylonitic foliation and the
tops-to-the-southwest kinematic indicators, such as C-S fabrics and rotated
porphyroclasts, were complexly overprinted by simple shear into different
patterns on the east and west sides of the dome. Acadian extension was most
likely the result of gravitational collapse following surface uplift and thermal
weakening of the lower crust.
Potential and Limitations of Paleoproxies from Sr/Ca
Ratios in Coccolith Carbonate
Heather Stoll, Assistant Professor of
Geosciences, et. al.
Eos Trans. AGU, 82 (47), Fall Meeting Supplement, Abstract
PP12A-0471 (2001)
The Sr/Ca ratio of coccoliths was recently proposed as a potential
indicator of past growth rates of coccolithophorids, marine algae which play key
roles in both the global carbonate and carbon cycles. We discuss recent
calibrations of this proxy through culture studies and work with polyspecific
and monospecific coccolith assemblages from surface sediments. Culture
experiments with several species demonstrate that coccolith Sr/Ca ratios depend
not only on calcification rate but also on temperature. Sr/Ca increases about
1% per oC, similar to published relationships in planktonic
foraminifera and abiogenic calcites. At constant temperature and variable
illumination, coccolith Sr/Ca ratios vary by 10 - 15% across the range of
possible growth and calcification rates for a given species. In field studies,
coccolith Sr/Ca shows a much larger response to productivity variations than to
temperature. In core top sediments across the Somali upwelling zone, a more
dynamic response to upwelling intensity and productivity is observed in larger
coccoliths like Calcidiscus leptoporus (55% variation in Sr/Ca) than
smaller coccoliths of Gephyrocapsa oceanica (15% variation in Sr/Ca).
Numerical models of Sr partitioning during crystal growth are used to evaluate
possible mechanisms for coccolith Sr/Ca variability and discrepancies over the
relative influence of temperature and growth rate in field and culture
studies.
Climate Proxies from Sr/Ca of Coccolith Calcite:
Calibrations from Continuous Culture of Emiliania huxleyi
Heather
Stoll, Assistant Professor of Geosciences
Yair Rosenthal, Paul Falkowski,
Rutgers Univ.
Geochimica et Cosmochimica Acta, 66, 927-936 (2002)
Continuous culture of coccolithophorid Emiliania huxleyi
demonstrates that coccolith Sr/Ca ratios depend not only on calcification rate
but also on temperature. At constant temperature of 18° C and variable
illumination, coccolith Sr/Ca ratios increase nearly 15% as growth rate
increases from 0.1 to 1.5 divisions per day and calcification rate increases
from 1.5 to 50 pg calcite/cell/day. When temperature increases from 7° to
26° C, Sr/Ca ratios increase by more than 25%, although the range in growth
and calcification rates was the same as for experiments at constant temperature.
The steep positive correlation of coccolith Sr/Ca with temperature contrasts
with field studies in the Equatorial Pacific where Sr/Ca ratios are highest at
the locus of maximum upwelling and productivity despite depressed temperatures.
This may reflect different calcification rate effects between E. huxleyi
and the other species dominating assemblages in the Equatorial Pacific
sediments, which may be resolved by new techniques for separation of
monospecific coccolith samples from sediments. Despite the dual influence of
temperature and growth rate on coccolith Sr/Ca, coccolith Sr/Ca correlates with
"b", the slope of the dependence of carbon isotope fractionation in biomarkers,
(εp) on CO2 (aq), at a range of growth rates and temperatures.
Consequently, using coccolith Sr/Ca in combination with alkenone ep may improve
paleo-CO2 determinations. Models of crystal growth indicate that kinetic
effects on Sr partitioning in calcite due to surface enrichment could explain
the Sr/Ca variations observed in constant temperature experiments. However, the
increase in Sr/Ca with temperature is likely due to temperature dependence of
the effective equilibrium partitioning of Sr in calcite.
Potential and Limitations of Sr/Ca Ratios in Coccolith
Carbonate: New Perspectives from Cultures and Monospecific Samples from
Sediments
Heather Stoll, Assistant Professor of Geosciences, et. al.
Philosophical Transactions Royal Society of London A, 360,
719-747 (2002)
The Sr/Ca ratio of coccoliths was recently proposed as a potential
indicator of past growth rates of coccolithophorids, marine algae which play key
roles in both the global carbonate and carbon cycles. We synthesize
calibrations of this proxy through laboratory culture studies and analysis of
monospecific coccolith assemblages from surface sediments. Cultures of
coccolithophorids Helicosphaera carteri, Syracosphaera pulchra,
and Algirospira robusta confirm a 1-2% increase in Sr/Ca per
oC previously identified in Emiliania huxleyi and
Gephyrocapsa oceanica. This effect is not due merely to increases in
growth rate with temperature and must be considered in paleoceanographic
studies. In light-limited cultures of E. huxleyi, Calcidiscus
leptoporus, and G. oceanica at constant temperature, coccolith Sr/Ca
ratios vary by 10% across the range of possible growth and calcification rates
for a given species. Among different species under similar culture conditions,
Sr/Ca ratios vary by 30%. Although the highest ratios are in the cells with
highest calcification and organic C fixation rates, at lower rates there is much
scatter indicating that different mechanisms control interspecific and
intraspecific coccolith Sr/Ca variations. In field studies in the equatorial
Pacific and Somalia coastal region, coccolith Sr/Ca correlates with upwelling
intensity and productivity. A more dynamic response is observed in larger
coccoliths like C. leptoporus (23 -55% variation in Sr/Ca) than smaller
coccoliths of G. oceanica or Florisphaera profunda (6-15%
variation in Sr/Ca). This response suggests that despite temperature effects,
coccolith Sr/Ca has potential as an indicator of coccolithophorid productivity.
If the variable Sr/Ca response of different species accurately reflects their
variable productivity response to upwelling (and not different slopes of Sr/Ca
with productivity), coccolith Sr/Ca could provide useful data on past changes in
coccolith ecology. The mechanism of coccolith Sr/Ca variations remains poorly
understood but is probably more closely tied to biochemical cycles during carbon
acquisition than to chemical kinetic effects on Sr incorporation in the calcite
coccolith crystals.
Geochemistry and Tectonic Setting of Paleoproterozoic
Metavolcanic Rocks of the Southern Front Range, Lower Arkansas River Canyon and
Northern Wet Mountains, Central Colorado
Reinhard A. Wobus, Professor of
Geosciences
Martha Folley ’97, Katherine Wearn ’98,
Jeffrey
B. Noblett, Colorado College
Rocky Mountain Geology, 36 (2), 99-118 (2001)
Across a 5000 km2 area of central Colorado, previously unstudied
Paleoproterozoic metabasalts (amphibolites) and metarhyolites (felsic gneisses)
comprise a bimodal metavolcanic association within a dominantly metasedimentary
terrain. Extending southward from about 39º N latitude in the southern
Front Range to about 38º 15' N latitude in the Wet Mountains, and from the
mountain front westward to the Wet Mountain Valley and Pleasant Valley fault
system, this area includes the exceptional exposures within the lower Arkansas
River Canyon from Howard downstream to Canon City. Regional metamorphism from
garnet to sillimanite grade, pervasive deformation, and intrusion by three
generations of Proterozoic plutons have largely obscured original stratigraphic
relationships and primary structures within these metamorphic basement rocks,
although a few pyroclastic features persist locally within the felsic members.
These metavolcanic rocks are compositionally similar to the much better
preserved bimodal section in the Salida area, dated at 1728 ± 6 Ma by
Bickford (1986), which emerges from beneath Paleozoic cover rocks about 15 km
beyond the western edge of the area of this report.
Geochemical studies of 45 samples (30 amphibolites and 15 felsic gneisses)
delineate two groups of metavolcanic rocks ranging in silica content from 45 to
55% and from 65 to almost 80% in the other. Along a 100 km transect from north
to south, metavolcanic rocks of the lower silica group (amphibolites) show an
increase in total alkalies (from 2% to 5–6%) and large ion lithophile
trace elements as well as an increase in degree of enrichment in light rare
earth elements (from LaN/LuN < 2 to LaN/LuN ~5). Rocks with higher silica
content (felsic metavolcanic rocks) occur mostly in the Arkansas Canyon area and
contain 6–8% total alkalies; they show strong fractionation between light
and heavy rare earth elements, with moderate to pronounced negative europium
anomalies.
Tectonic discriminant diagrams using relatively immobile
high-field-strength elements indicate volcanic arc settings for both mafic and
felsic populations. Metavolcanic rocks from the northern Wet Mountains and
Arkansas Canyon suggest a mature arc environment, possibly on an expanding
continental margin. The isolated metabasalts to the north in the southern Front
Range, where no felsic metavolcanic rocks have been identified, are more
primitive island-arc tholeiites; they may represent pyroclastic rocks with a
source beyond the study area.
These new dates from a wide area of central Colorado reinforce results from
the well-studied Paleoproterozoic bimodal arc assemblages to the west near
Salida and Gunnison. They also allow the extension across a wider geographic
area of previous tectonic models for the Paleoproterozoic evolution of the
Colorado province (as defined by Bickford et al., 1986). These models (Condie,
1986; Reed et al., 1987; Karlstrom et al., 1987) portray the rapid addition of
juvenile crust to the southern margin of the Wyoming province by accretion of
individual volcanic arcs or larger, previously amalgamated arc terranes,
resulting in the southward expansion of the craton by about 1300 km from
1800–1650 Ma.
Intermediate Volcanics in a Bimodal Setting: Silurian
Andesites of the Fox Islands, ME
Nathan C. Cardoos ’02
R. A.
Wobus, Professor of Geosciences
Geological Society of America Abstracts with Programs, 34
(7), A-67 (2002)
Silurian volcanic rocks occur in the northern part of Vinalhaven Island and
along the south shore of North Haven Island (the Fox Islands) in Penobscot Bay,
Maine. They overlie the fossiliferous Lower (?) Silurian Ames Knob Formation
and are intruded by the Vinalhaven granite pluton (420 ± 1 Ma: David
Hawkins, pers. comm.), one of several plutons of the Coastal Maine Magmatic
Province produced by the repeated injection of mafic magma into a silicic
chamber at a shallow crustal level. The younger members of the volcanic pile -
the Vinalhaven Rhyolite (Newton, J.L., 1999) and underlying Vinalhaven Diabase
(Klemetti, E.W., 1999) - resemble the rocks of the pluton in their apparently
bimodal character, though the “diabase” is geochemically a basaltic
andesite to andesite and has petrographic features suggesting it is a hybrid.
Older volcanics in the Silurian sequence are the felsic tuffs in the Polly Cove
Formation (named by Ollie Gates, 2001, and the stratigraphic equivalent of the
Ames Knob), the overlying Thorofare Andesite, and the tuffs and tuff breccias of
the lower part of the Seal Cove Formation (Gates, O., 2001; Szramek, L., 2002).
The Thorofare forms a 750-meter-thick pile of gray to reddish-brown intermediate
lava flows and breccias on either side of the Thorofare strait and on small
islands within it. The fragmental rocks are dominated by laharic breccias but
also consist of autobreccias, bedded tuff breccias, and rare airfall tuffs.
Breccia clasts are mainly andesite and mudstone, with locally abundant felsic
volcanic fragments that may be the equivalent of volcanics in the Upper Cambrian
Castine and Ellsworth formations to the north. Lower greenschist metamorphism
and local hydrothermal alteration have largely obscured the primary mineralogy
of the flow units in the Thorofare. The least altered samples from it preserve
an intergranular fabric of mostly andesine and clinopyroxene, on a Winchester
and Floyd (1977) classification diagram using immobile trace elements they plot
mostly as andesites with overlap into the fields of basaltic andesite and
dacite. Most flow samples are in the AT (island arc tholeiite) field of a
Mullen-type (1983) tectonic discrimination diagram, suggesting that they formed
before consolidation of the pen-Avalonian arc systems with the Laurentian
mainland.
Correlation and Stratigraphy of Exotic Blocks in the
Vinalhaven Pluton, Maine, to the Seal Cove Formation
Lindsay Szramek,
Bowdoin College
Rachel Beane (’93), Bowdoin College
R. A. Wobus,
Professor of Geosciences
Geological Society of America Abstracts with Programs, 34
(1), A-666 (2002)
Vinalhaven Island, located in lower Penobscot Bay, Maine, is a bimodal
pluton rimmed by stratified sedimentary and volcanic rocks. The island is ideal
for exploring questions related to magma chamber dynamics, because its coastal
exposures and granite quarries offer a nearly complete cross section from the
bottom of the chamber in the south to the top of the chamber in the north. To
better define the chamber dynamics, exotic blocks in the pluton were examined
and compared to the stratified rocks that rim the island. Blocks of
metamorphosed bedded tuffs in the pluton correlate well with the Seal Cove
Formation exposed on the north-central coast of Vinalhaven. The exposed Seal
Cove Formation is composed primarily of 0.1-2.0 meter thick layers of quartzite
and calc-silicate, and also includes a garnet-rich rock (80% garnet) and tuff
breccia. The exposure is cut by a granitic sill. Blocks of the Seal Cove
Formation, sized from a few meters to tens of meters, are located at Round Neck,
on the south-central coast, and on Greens Island, southwest of Vinalhaven.
Similar to the in-place exposure, these blocks contain 0.1 to 1.7 meter thick
layers of quartzite and calc-silicates, and are locally intruded by granite from
the surrounding pluton. Both the blocks and the exposed Seal Cove Formation
show evidence of contact metamorphism. Garnet compositions with a high
andradite component (and 45-68, gro41-18) provide supporting evidence to suggest
that the protolithic tuff was calcic, possibly andesitic in nature, and
underwent metasomatism resulting from thermal metamorphism related to the
emplacement of the Vinalhaven pluton. The position and attitudes of the exotic
blocks seem to support suggestions that the magma chamber underwent convection;
however, the large, coherent nature of the blocks provides convincing evidence
that the magma in the chamber was not turbid.
Geology of Vinalhaven Island, Maine
R. A. Wiebe,
Franklin & Marshall College
David Hawkins, Denison University
R. A.
Wobus, Professor of Geosciences
15th Annual Undergraduate Research Symposium, Keck Geology
Consortium, 15, 94 (2002)
This project examined the geology of Vinalhaven Island (Fig. 1). The
plutonic rocks on Vinalhaven belong to the Coastal Maine Magmatic Province
(Hogan and Sinha, 1989), and represent the roots of a Silurian bimodal volcanic
system that apparently developed in an extensional tectonic setting, possibly in
a back-arc environment. Three previous Keck projects in Maine have studied
similar systems along the Maine coast (Cadillac Mountain and Gouldsboro
complexes in 1993 and 1994, and Vinalhaven in 1998) and led to the publication
of several papers (Wiebe et al., 1997a, 1997b; Weibe and Adams, 1997). The
Vinalhaven plutonic complex appears to be perhaps the best exposed of these
bimodal intrusions. The coastal outcrops are superb and show complex
commingling and mixing relations between gabbroic, dioritic and granitic rocks
near the base of the intrusion. Extensive areas of large contact-metamorphosed
blocks of country rock also occur in the lower portions of the pluton. Two
varieties of granite, along with tonalite, and gabbro are widely exposed and
easily sampled in coastal sections, numerous quarries, and glaciated inland
exposures.
To the northwest, the Vinalhaven pluton has intruded a remarkably well
preserved sequence of interlayered Silurian volcanic and sedimentary rocks which
have been gently folded into a basin-like structure. Even the oldest of these
units on the island, the Polly Cove formation, contains felsic pyroclastic rocks
which retain primary fabrics and show little evidence of regional metamorphism.
It is overlain by more than 750 m of intermediate flows and breccias of the
Thorofare andesite, followed by tuff-breccias and distinctive sedimentary rocks
of the lower Seal Cove formation. Above this weakly deformed basaltic and
rhyolitic volcanics may be cogenetic with the plutonic rocks. Large stoped
blocks of the lower Seal Cove occur near the base of the pluton at the southern
edge of Vinalhaven and on Greens Island to the west. All of the aforementioned
layered units have been studied by this year’s Keck group for the first
time, building on the work of two students in the previous Vinalhaven project on
the bimodal volcanics at the tip of the Silurian sequence (the Vinalhaven
diabase, Perry Creek formation, and the Vinalhaven rhyolite).
HISTORY
OF SCIENCE
Reflections on Scientific Collaboration (and Its Study):
Past, Present, and Future
Donald deB. Beaver
Scientometrics, 52:3, 365-377 (2001)
Also printed in Proceedings of the Second Berlin Workshop on
Scientometrics and Informetrics, Collaboration in Science and Technology,
September 1-3, 2000 at Free University Berlin, Frank Havemann, et al, eds,
29-40
Personal observations and reflections on scientific collaboration and its
study, past, present, and future, containing new material on motives for
collaboration, and on some of its salient features. Continuing methodological
problems are singled out, together with suggestions for future
research.
Age Structures of Scientific Collaboration in Chinese
Computer Science
Liming Liang, Hildrun Kretschmer, Yongzheng Guo, Donald
deB Beaver
Scientometrics 52:3 471-486, (2001)
This paper is a scientometric study of the age structure of scientific
collaboration in Chinese computer science. Analysis reveals some special age
structures in scientific collaboration in Chinese computer science. Most
collaborations are composed of scientists younger than thirty-six (Younger) or
older than fifty (Elder). For two-dimensional collaboration formed by first and
second authors, Younger-elder and Younger-Younger are the predominant age
structures. For three-dimensional collaboration formed by first, second and
third authors, Younger-Younger-Elder and Younger-Younger-Younger are the most
important age structures. Collaboration between two authors older than 38
amounts to only 6.4 percent of all two-person collaborations. Collaboration
between two middle-aged scientists is seldom seen.
Why do such types of age structure in Chinese computer science exist? We
suggest a tentative explanation based on analyses of the age composition of all
authors, the age distributions of the authors in different ranks, and the
name-ordering of authors in articles written by professors and their
students.
MATHEMATICS
Waist Size for Cusps in Hyperbolic
3-Manifolds
Colin C. Adams, Mark Hopkins Professor of Mathematics
Topology, 41, No. 2, 257-270 (2002)
The waist size of a cusp in an orientable hyperbolic 3-manifold is the
length of the shortest nontrivial curve in the maximal cusp boundary generated
by a parabolic isometry. A variety of results on waist size are proved. In
particular, it is shown that the smallest possible waist size, which is 1, is
realized only by the cusp in the figure-eight knot complement.
Alternating Knots in S x I
Colin C. Adams, Mark
Hopkins Professor of Mathematics
T. Fleming, M. Levin, and A. Turner
Pacific Journal of Mathematics, 203, No. 1, 1-22
(2002)
One of the Tait conjectures, which was stated 100 years ago and proved in
the 1980's, said that reduced alternating projections of alternating knots have
the minimal number of crossings. We prove a generalization of this for knots in
S x I, where S is a surface. We use a combination of geometric and polynomial
techniques.
The Shape of the Universe: Ten
Possibilities
Colin C. Adams, Mark Hopkins Professor of Mathematics
J. Shapiro
American Scientist, 89, 443-453 (2001)
Recent observations suggest the global geometry of the spatial universe may
be Euclidean. Mathematicians have proved that a Euclidean universe must be one
of 18 possibilities. Eight of these are unlikely for physical reasons. The
remaining ten are described in this paper.
A Deprogrammer’s Tale
Colin C. Adams, Mark
Hopkins Professor of Mathematics
Mathematical Intelligencer, 23, No. 3, 13-14
(2001)
What to do when your child gets hooked on mathematics.
Why Knot: Knots, Molecules and Stick Numbers
Colin C. Adams, Mark Hopkins Professor of Mathematics
Plus Magazine, on-line science magazine, 15 (2001)
An exposition of the ideas behind knot theory, stick number of knots and
its implications for chemistry.
Hiring Season
Colin C. Adams, Mark Hopkins
Professor of Mathematics
Mathematical Intelligencer, 23, No. 3, 21-22 (2001)
The difficulties in hiring in a math department.
Fields Medalist Stripped
Colin C. Adams, Mark
Hopkins Professor of Mathematics
Mathematical Intelligencer, 24, No. 1, 36 (2002)
What happens when a mathematician takes drugs to enhance his
abilities.
Homotopy on the Range
Colin C. Adams, Mark Hopkins
Professor of Mathematics
Mathematical Intelligencer, 24, No. 2, 19 (2002)
Algebraic topology meets a cattle drive.
Diophantine Inequalities and Irrationality Measures for
Certain Transcendental Numbers
Edward B. Burger, Professor of Mathematics
The Indian Journal of Pure and Applied Mathematics, 32
1591-1599 (2001)
Here we construct U-numbers having pre-subscribed diophantine
structure for which effective measures of irrationality are computed.
“Math Forum”—I Couldn’t Keep My
Distance: A Mathematical Seduction
Edward B. Burger (as Drew Aderburg),
Professor of Mathematics
The Mathematical Association of America Math Horizons, 12-15
(February 2002)
Here in a humor style, we give an introduction to p-adic numbers and
construct infinite series that possess incredible convergence
properties.
“On a Quantitative Refinement of the Lagrange
Spectrum
Edward B. Burger, Professor of Mathematics
Amanda Folsom,
Alexander Pekker, Rungporn Roengpitya ’01, Julia Snyder
’02
Acta Arithmetica, 102, 55-82 (2002)
Here we answer a question posed by Davenport in 1947 regarding diophantine
inequalities exhibiting only finitely many solutions. As a consequence of the
results introduced here, a quantitative version of the classical Lagrange
spectrum is found.
Data Mining et Statistique: Discussion de
l’article de Besse et al
Richard D. De Veaux, Professor of
Mathematics
Journal de la Societe Francaise de Statistique, 142, No. 1
(2001)
Data Mining: A View from Down in the Pit
Richard
D. De Veaux, Professor of Mathematics
Stats Magazine, 34, 3-9 (2002)
All the Mathematics You Missed [But Need to Know for
Graduate School]
Thomas Garrity, Professor of Mathematics
Cambridge University Press (2001)
Beginning graduate students in mathematics and other quantitative subjects
are expected to have a daunting breadth of mathematical knowledge, but few have
such a background. This book will help students see the broad outline of
mathematics and to fill in the gaps in that knowledge.
President Garfield and the Pythagorean
theorem
Victor E. Hill IV, Thomas T. Read Professor of
Mathematics
Math Horizons, 9-11,15 (February 2002)
When James A. Garfield was in the House of Representatives in 1876,
he produced a new proof of the Pythagorean Theorem on right
triangles. This article is concerned with his background and interests
in mathematics as well as his experiences as a student at Williams
1854-56.
Generic Formal Fibers of Polynomial Rings
Susan
Loepp, Associate Professor of Mathematics
Journal of Pure and Applied Algebra, 163, 93-106
(2001)
In this paper, we construct an excellent regular local ring A whose generic
formal fiber is local and we show that the generic formal fiber of the
polynomial ring over A in finitely many variables can also be
controlled.
Some Results on Tight Closure and Completion
Susan
Loepp, Associate Professor of Mathematics
C. Rotthaus
Journal of Algebra, 246, 859-880 (2001)
In this paper, we construct examples of nonexcellent local domains for
which tight closure and completion do not commute. In addition, we construct an
example of a complete local normal Gorenstein domain which is not F-regular but
is the completion of an F-regular local ring.
Proof of the Double Bubble Conjecture
Frank
Morgan, Dennis Meenan (’54) Centennial Professor of Mathematics
Michael
Hutchings, Manuel Ritore, and Antonio Ros
Ann. Math., 155, 459-489 (2002)
We prove that the standard double bubble provides the least-area way to
enclose and separate two regions of prescribed volume in R3.
Isoperimetric Regions in Cones
Frank Morgan,
Dennis Meenan (’54) Centennial Professor of Mathematics
Manuel
Ritore
Trans. AMS, 354, 2327-2339 (2002)
We consider cones C over Mn and prove that if the Ricci
curvature of M is at least n−1, then geodesic balls about the vertex
minimize perimeter for given volume.
Math Chat
Frank Morgan, Dennis Meenan (’54)
Centennial Professor of Mathematics
MAA Web Page, Semi-Monthly (1998)
Column with questions, answers, and prizes. Available at the Mathematical
Association of America web page at
www.maa.org.
An Isoperimetric Comparison Theorem for Schwarzschild
Space and Other Manifolds
Frank Morgan, Dennis Meenan (’54)
Centennial Professor of Mathematics
Hubert Bray
Proc. AMS, 130, 1467-1472 (2002)
We give a very general isoperimetric comparison theorem, which implies for
example that geodesic spheres in the Schwarzschild space minimize area for given
volume, which in turn has applications to the Penrose Inequality in general
relativity.
Hexagonal Economic Regions Solve the Location
Problem
Frank Morgan, Dennis Meenan (’54) Centennial Professor of
Mathematics
Amer. Math. Monthly, 109, 165-172 (2002)
We show in a certain mathematical sense that congruent regular hexagons
solve the location problem, i.e. provide optimal market regions about centers of
production.
Small Perimeter-Minimizing Double Bubbles in Compact
Surfaces Are Standard
Frank Morgan, Dennis Meenan (’54) Centennial
Professor of Mathematics
Electronic Proceedings of the 78th Annual Meeting of the
Louisiana/Mississippi Section of the MAA, Univ. of Miss. (2001)
We prove that in a smooth, compact, two-dimensional submanifold of
RN, the least-perimeter way to enclose and separate two
regions of small prescribed areas is a standard double bubble, consisting of
three constant-curvature curves meeting in threes at 120 degrees. This paper is
largely superseded by the next one, which proves that small stable double
bubbles are standard.
The Standard Double Bubble Is the Unique Stable Double
Bubble in R2
Frank Morgan, Dennis Meenan (’54)
Centennial Professor of Mathematics
Wacharin Wichiramala
Proc. AMS, 130, 2745-2751 (2002)
We prove that the only equilibrium double bubble in R2
which is stable for fixed areas is the standard double bubble. This uniqueness
result also holds for small stable double bubbles in surfaces, where it is new
even for perimeter-minimizing double bubbles.
The Perfect Shape for a Rotating Rigid Body
Frank
Morgan, Dennis Meenan (’54) Centennial Professor of Mathematics
Mathematics Magazine, 75, 30-32 (2002)
The energy-minimizing shape for a rotating rigid body is not an oblate
spheroid but a stationary ball with a small, distant planet.
Whad’Ya Know
Frank Morgan, Dennis Meenan
(’54) Centennial Professor of Mathematics
Joseph Corneli, Paul Holt,
Nicholas Leger, and Eric Schoenfeld
MAA Focus (2001)
An humorous account of the appearance of Morgan, his Geometry Group, and
other mathematicians on the popular program on Public Radio International, in
Madison, Wisconsin during the MathFest.
Rank-One Power Weakly Mixing Non-Singular
Transformations
Cesar E. Silva, Professor of Mathematics
T. Adams and
N. Friedman
Ergodic Theory Dynamical Systems, 21, No. 5, 1321-1332
(2001)
We show that Chacon's nonsingular type IIIλ transformation T, for
λ between 0 and 1, is power weakly mixing, i.e., for all sequences of
nonzero integers k_1, ..., k_r the transformation Tk_1 x ... x
T k_r is ergodic. We then show that in infinite measure, this
condition is not implied by infinite ergodic index (having all finite Cartesian
products ergodic), and that infinite ergodic index does not imply
2-recurrence.
Double Ergodicity of Nonsingular Transformations and
Infinite Measure-Preserving Staircase Transformations
Cesar E. Silva,
Professor of Mathematics
A. Bowels, L. Fidkowski, and A. Marinello
Illinois J. Math, 45, No. 3, 999-1019 (2001)
A nonsingular transformation is said to be doubly ergodic if for all sets A
and B of positive measure there exists an integer n > 0 such that the measure
of the intersection o T-n (A) with each of the sets A and B is
positive. While double ergodicity is equivalent to weak mixing for finite
measure preserving transformations, we show that this is not the case for
infinite measure preserving transformations. We show that all measure
preserving tower staircase rank one constructions are doubly ergodic, but that
there exist tower staircase transformations with non-ergodic Cartesian square.
We also show that double ergodicity implies weak mixing but that there are
weakly mixing skyscraper constructions that are not doubly ergodic, and also
study some properties of double ergodicity.
Sharp Estimate for the Weighted Hilbert Transform via
Bellman Functions
Janine Wittwer, Assistant Professor of
Mathematics
S. Petermichl
Michigan Mathematics Journal, 50, No. 1, 71-88
(2002)
In this paper, we find the best possible upper bound of the Hilbert
transform (an operator important in harmonic analysis and the theory of
differential equations), as an operator in weighted L2 space on the
disk.
A Sharp Estimate on the Norm of the Continuous Square
Function
Janine Wittwer, Assistant Professor of Mathematics
Proceedings of the AMS, 130, 2335-2342 (2002)
In this paper, we show that the continuous square function has a nice bound
in weighted L2 space.
PHYSICS
Dynamics of Photoinduced Collisions of Cold Atoms Probed
with Picosecond Laser Pulses
Kevin Jones, Professor of Physics, and
others
The Physical Review A, 64, 033421 (2001)
Pump-probe experiments are performed in which cold colliding Na atoms are
photoassociated to form Na2 molecules, and subsequently ionized. The
experiments are performed in a regime where the pulsed photoassociation to an
intermediate potential takes place at long range, and to several electronic,
vibrational, and rotational states. A probe pulse then produces an ionization
signal by further exciting these molecules to autoionizing doubly excited
states. The time dependence of the ion signal shows a dramatic flux-enhancement
effect on a nanosecond time scale due to the motion on the intermediate
potentials. This time dependence can be viewed as monitoring the inward motion
and dephasing of a population wave packet formed at long range.
Photoassociation of Sodium in a Bose-Einstein
Condensate
Kevin Jones, Professor of Physics, and others
Physical Review Letters, 88, 120403 (2002)
We form ultracold Na2 molecules by single-photon
photoassociation of a Bose-Einstein condensate, measuring the photoassociation
rate, linewidth, and light shift of the J = 1, v = 135 vibrational level of the
A 1∑+u molecular state. The
photoassociation rate constant increases linearly with intensity, even where it
is predicted that many-body effects might limit the rate. Our observations are
in good agreement with a two-body theory having no free parameters.
Entanglement Sharing among Quantum Particles with More
Than Two Orthogonal States
Kenneth A. Dennison ’01 and William K.
Wootters, Professor of Physics
Physical Review A, 65, 010301 (2001)
Consider a system consisting of n d-dimensional quantum particles
(qudits), and suppose that we want to optimize the entanglement between each
pair. One can ask the following basic question regarding the sharing of
entanglement: what is the largest possible value
Emax(n,d) of the minimum entanglement between
any two particles in the system? (Here we take the entanglement of formation as
our measure of entanglement). For n=3 and d=2, that is, for a
system of three qubits, the answer is known: Emax(3,2)=0.550.
In this paper we consider first a system of d qudits and show that
Emax(d,d) ≥ 1. We then consider a system of
three particles, with three different values of d. Our results for the
three-particle case suggest that as the dimension d increases, the
particles can share a greater fraction of their entanglement capacity.
PSYCHOLOGY
Identification and Its Relation to Identity
Development
Phebe Cramer, Professor of Psychology
Journal of Personality, 69, 667-687 (2001)
Two meanings of identification – as a developmental process and as a
mechanism of defense – were investigated as they relate to identity
status. Identification with parents were assessed by comparing
participants’ “ideal self” Adjective-Q-sort (Block, 1978) with
the same Q-sort done for either mother or father. Defense identification was
assessed from TAT stories using Cramer’s (1991a) Defense Mechanism Manual.
Marcia’s (1996, 1980) categories of identity status were determined from
Mallory’s (1989) prototypes based on the California Adult Q-sort (Block,
1961/1978). The results indicated that the four identity statuses are
differentially predicted by parent identification, by defense identification,
and by an interaction between the two types of identification. Further, the
nature of these relations differs by gender. Caution should be used in applying
these findings to other populations.
The Unconscious Status of Defense Mechanisms
Phebe
Cramer, Professor of Psychology
American Psychologist, 56, 762-763 (2001)
Responds to L. S. Newman’s and M. H. Erdelyi’s comments (see
records 2001-18061-011 and 2001-18061-012, respectively) on the P. Cramer
article (see record 2000-15774-007). The author maintains that to consciously
and intentionally modify one’s thinking, affect, or behavior (i.e., to
cope) so as to manage a stressful situation is an inherently different process
than the unintentional cognitive distortion that occurs on an unconscious level
when a defense mechanism is used. Furthermore, it is argued that the features
of being unconscious and unintentional are critical for defining the defense
mechanism and for differentiating this process from other methods of
adaptation.
Defense Mechanisms, Behavior and Affect in Young
Adulthood
Phebe Cramer, Professor of Psychology
Journal of Personality, 70, 103-126 (2002)
The relationship between defense mechanism use, observed behavior, and
affect was investigated in a sample of 91 young adults. Defense mechanisms were
assessed using Cramer’s (1991a) Defense Mechanism Manual for TAT stories;
behavior was based on observer Q-sort ratings (Block, 1978). The findings show
that men and women who rely on the immature defense of denial at age 23 show
multiple signs of behavioral immaturity, as well as anxiety. In contrast,
extensive use of projection was related to a suspicious, hyperalert personality
style, including anxiety and depression, in men, but to a sociable, nonwary,
nondepressed style in women. The use of the mature defense of identification,
by women, was related to behavior characterized by maturity, social competence,
and the absence of depressive symptoms.
Defense Mechanisms
Phebe Cramer, Professor of
Psychology
The Freud Encyclopedia: Theory, Therapy, and Culture, 139-141
(2002)
Denial
Phebe Cramer, Professor of
Psychology
The Freud Encyclopedia: Theory, Therapy, and Culture, 141-143
(2002)
Projection
Phebe Cramer, Professor of
Psychology
The Freud Encyclopedia: Theory, Therapy, and Culture, 426-427
(2002)
The Study of Defense Mechanisms: Gender
Implications
Phebe Cramer, Professor of Psychology
In The Psychodynamics of Gender and Gender Role.(2002)
Maintaining One's Self-Image vis-à-vis Others: The
Role of Self-Affirmation in the Social Evaluation of the Self
Steven J.
Spencer, Steven Fein, & Christine D. Lomore
Motivation and Emotion, 25: 41-65 (2001)
Three studies examined how people maintain their self-images when they face
threat to interpersonal aspects of the self. In Studies 1 and 2, the authors
found evidence that low self-esteem people lower their estimates of their
performance when they expect immediate feedback in order to protect themselves
from the interpersonal threat inherent in such feedback, and that
self-affirmation reduces this tendency among low self-esteem people. In Study
3, the authors found that when people are self-affirmed they are more likely to
engage in upward social comparisons and less likely to engage in downward social
comparisons. Together these findings suggest that people can cope with threats
to interpersonal aspects of the self by affirming other important aspects of the
self.
Reduced Primary Antibody Responses in a Genetic Animal
Model of Depression.
E.M. Friedman, Assistant Professor of Psychology,
K.A. Becker, D.H. Overstreet, & D.A. Lawrence
Psychosomatic Medicine, 64: 267-273 (2002)
Objective: Clinical depression is associated with multiple abnormalities of
immune function including reduced virus-specific responses. This study tested
the hypothesis that the Flinders Sensitive Line (FSL) rat, a promising genetic
animal model of depression, would exhibit reductions in antigen-specific primary
antibody responses to immunization. Methods: FSL (n = 13) and control Flinders
Resistant Line (FRL; n = 14) rats were immunized with the protein antigen
keyhole limpet hemocyanin (KLH; 300 mg/ml), and KLH-specific IgM, IgG, IgG1, and
IgG2a responses were measured before and 3, 5, 7, 11, and 14 days after
immunization. In separate experiments, production of interferon-g (IFN-g) by
cells from naïve and KLH-immunized animals was measured in vitro in order
to determine whether strain differences in antibody production might be
associated with differential production of this regulatory cytokine. Results:
KLH-specific production of IgM (p<.01) and IgG2a (p<.05) were
significantly reduced in the FSL rats compared to the FRL controls. There were
no strain differences in IgG or IgG1 production. While IFN-g production between
the two strains was similar in naïve animals, cells from KLH-immunized FSL
rats produced significantly less IFN-g when stimulated with KLH in vitro than
cells from KLH-immunized FRL controls (p=.01). Conclusions: This study extends
previous reports of altered immune function in the FSL rats to include reduced
in vivo antigen-specific antibody responses. Moreover, diminished production of
IFN-g by KLH-primed lymphocytes may contribute to lower antibody production in
these animals. Collectively, these data suggest deficiencies in type 1 T helper
cell-mediated immunity in the FSL rats.
Environmental Stress Mediates Changes in
Neuroimmunological Interactions
Elliot M. Friedman, Assistant Professor
of Psychology & David A. Lawrence
Toxicological Sciences, 67: 4-10 (2002)
Combinations of environmental stress coordinately increase toxicological
assaults on health, dependent on the genetics of the exposed organism. Multiple
gene variances between individuals influence the risks associated with
environmental exposures, and environmental stress presents in multiple forms
including chemical, physical, and psychological stresses. Combined chemical,
physical, and psychological stresses are suggested as exacerbating the
initiation and/or duration of illnesses, and many of the detrimental outcomes on
health are posited to relate to changes in neuroendocrine immune circuitry.
However, most human epidemiological or experimental animal studies have not
considered the combination of chemical, physical, and psychological stress on
health status. Current consideration is being given to “real world”
exposures for assessment of health risk, but this mainly relates to evaluation
of chemical mixtures. In addition to concomitant chemical exposures having
agonistic and/or antagonistic interactions, the physical and psychological
status of the individual can influence exposure outcomes. An individual’s
psychosocial environment is likely to be important in epidemiological
investigations. Neuroimmunology is a burgeoning discipline, and neurotoxicology
and immunotoxicology studies should consider the bidirectional regulatory
mechanisms between these organ systems and the potential long-term influences of
psychological stress. This mini-review discusses some intriguing data from
animal and human studies, which address the regulatory pathways between the
neural, endocrine, and immune systems, with emphasis on psychological stress.
Observing Couples’ Interaction: Integrative
Analysis of Interpersonal Control, Cognitive Constructions, and Emotional
Impact
Valentin Escudero, Laurie Heatherington, Professor of Psychology,
Myrna L. Friedlander
Metodologia de las Ciencias del Comportamiento, 3, 247-265
[2001]
This paper presents a methodology, and a single case study as illustration,
for the observational study of couple interaction from an integrative,
multi-systemic perspective. From a systemic perspective, couple interaction is
a complex system of behavioral, affective, and cognitive components working
simultaneously as stimuli and reactions in an evolving interpersonal system.
For example, interpersonal behavior always has an emotional component because it
implies reactions to others’ behavior; interpersonal behavior is also
closely connected with cognitive constructions, as partners frequently have an
“explanation” of their behavior and their partner’s behavior
that influences their affect and their subsequent behavior. We present
observational coding systems and a data analytic strategy for studying these
three dimensions –behavioral, cognitive, and affective- over time, in
relation to each other, and in relation to each other over time. An intensive
study of one couple’s interaction over four time periods, drawn from a
larger on-going study using data archived from the Denver Family Development
Study is included as in illustration of the kinds of research questions that can
be addressed using this strategy of observational research.
Eyewitness Researchers as Experts in Court: Responsive to
Change in a Dynamic and Rational Process
Saul M. Kassin, Professor of
Psychology, V.A. Tubb, H.M. Hosch, & A. Memon
American Psychologist, 57, 378-379 (2002)
Responds to the comments by M. L. McCullough (see record 2002-12932-018) on
the original article (see record 2001-17140-001) which discussed eyewitness
testimony. The current author states that McCullough's commentary rests on a
foundation of assumptions that were both naive and erroneous.
Caregiver-Child Social Pretend Play: What
Transpires?
Robert D. Kavanaugh, Professor of Psychology
In Pretending and Imagination in Animals and Children, R. W.
Mitchell (ed.), (2002)
You Don’t Know Me, But I Know You: Asymmetric
Assessment of Insight into Self and Other
E. Pronin, J. Kruger, Kenneth
Savitsky, Assistant Professor of Psychology, and L. Ross
Journal of Personality and Social Psychology, 81, 639-656
(2001)
It is hypothesized that people show an asymmetry in assessing their own
interpersonal and intrapersonal knowledge relative to that of their peers. Six
studies suggested that people perceive their knowledge of their peers to surpass
their peers’ knowledge of them. Several of the studies explored sources
of this perceived asymmetry, especially the conviction that while observable
behaviors (e.g., interpersonal revelations or idiosyncratic word completions)
are more revealing of others than self, private thoughts and feelings are more
revealing of self than others. Study 2 also found that college roommates
believe they know themselves better than their peers know themselves. Study 6
showed that group members display a similar bias—they believe their groups
know and understand relevant out-groups better than vice versa. The relevance
of such illusions of asymmetric insight for interpersonal interaction and our
understanding of “naïve realism” is discussed.
Brain Activation and Sexual Arousal in Healthy,
Heterosexual Males
Bruce A. Arnow, John E. Desmond, Linda L. Banner, Gary
H. Glover, Ari Solomon, Assistant Professor of Psychology, Mary Lake Polan, Tom
F. Lue, and Scott W. Atlas
Brain, 125, 1014-1023 (2002)
Despite the brain’s central role in sexual function, little is known
about relationships between brain activation and sexual response. In this
study, we employed functional MRI (fMRI) to examine relationships between brain
activation and sexual arousal in a group of young, healthy, heterosexual males.
Each subject was exposed to two sequences of video material consisting of
explicitly erotic (E), relaxing ® and sports (S) segments in an
unpredictable order. Data on penile turgidity was collected using a
custom-built pneumatic pressure cuff. Both traditional block analyses using
contrasts between sexually arousing and non-arousing video clips and a
regression using penile turgidity as the covariate of interest were performed.
In both types of analyses, contrast images were computed for each subject and
these images were subsequently used in a random effects analysis. Strong
activations specifically associated with penile turgidity were observed in the
right subinsular region including the claustrum, left caudate and putamen, right
middle occipital/ middle temporal gyri, bilateral cingulate gyrus and right
sensorimotor and pre-motor regions. Smaller, but significant activation was
observed in the right hypothalamus. Few significant activations were found in
the block analyses. Implications of the findings are discussed. Our study
demonstrates the feasibility of examining brain activation/sexual response
relationships in an fMRI environment and reveals a number of brain structures
whose activation is time-locked to sexual arousal.
Social Isolation Stress During the Third Week of Life Has
Age-Dependent Effects on Spacial Learning in Rats
Deborah F.
Frisone‘00, Cheryl A Frye, Betty Zimmerberg, Professor of Psychology
Behavioural Brain Research, 128, 153-160 (2002)
Despite extensive research on the relationship between acute stress and
hippocampal function in adults, little is known about the short- and long-term
effects of prolonged juvenile stress on learning, memory, and other hippocampal
function. This experiment investigated whether spatial learning would be
altered in juvenile and adult rats previously exposed to a chronic stressor: 6h
of social isolation (SI) daily at 15-21 days of age. SI was found to increase
circulating plasma levels of corticosterone (CORT) and allopregnanolone
(3-alpha, 5alphs-pregnan-20-one;3,5-THP) at 1 h after separation on the fourth
day, indicating that the isolation was an effective stressor. When tested as
juveniles (post-natal (PN) 22-24), spatial learning was impaired on the Morris
water maze in the previously isolated subjects compared to non-isolated
controls. However, when tested as adults (PN 92-94), subjects previously
exposed to SI during the third week of life demonstrated more rapid learning of
the task than controls. These results are discussed in light of research on the
effects of CORT on the developing hippocampus.