The maximum number of cliques in dense graphs

AbstractDenote the number of vertices of G by |G|. A clique of graph G is a maximal complete subgraph. The density ω(G) is the number of vertices in the largest clique of G. If ω(G)⩾12|G|, then G has at most 2|G|−ω(G) cliques. The extremal graphs are then examined as well

Creator\u27s Concept of Infinity: Implications of Infinity for Contingence

Georg Cantor (1845-1918) was a devout Lutheran whose explicit Christian beliefs shaped his philosophy of science. Joseph Dauben has traced the impact Cantor\u27s Christian convictions had on the development of transfinite set theory. In this paper I propose to examine how Cantor\u27s transfinite set theory has contributed to an increasingly contingent world view in modern science. The contingence of scientific theories is not just a cautious tentativeness, but arises out of the actual state of the universe itself. The mathematical entities Cantor studied, transfinite numbers, he admitted were fraught with paradoxes. But he believed that they were grounded in a reality beyond this universe, not finally determinable by any mathematical system

In-situ measurement of electrodermal activity during occupational therapy

Thesis (S.M.)--Massachusetts Institute of Technology, School of Architecture and Planning, Program in Media Arts and Sciences, 2010.Cataloged from PDF version of thesis.Includes bibliographical references (p. 59-61).Physiological arousal is an important part of occupational therapy for children with Sensory Processing Disorder (SPD) but therapists do not have a way to objectively measure how therapy affects arousal. We hypothesized that when children with SPD participate in guided activities within an occupational therapy setting, informative changes in electrodermal activity (EDA) can be detected using iCalm. iCalm is a small, wireless sensor developed at MIT that measures EDA and motion, worn on the wrist or above the ankle. Twenty-two children (ages 3-10) with a clinical diagnosis of SPD participated. EDA was measured from the backs of the children's ankles. Concurrent video recordings allowed for comparison of therapeutic activities and children's EDA. Overall, we measured 77 therapy sessions. All measurements were in-situ, during regularly scheduled therapy sessions. Statistical analysis describing how equipment affects EDA was inconclusive, suggesting that many factors play a role in how a child's EDA changes. Case studies provided examples of how occupational therapy affected children's EDA. This is the first study of the effects of occupational therapy's in-situ activities using continuous physiologic measures. The results suggest that careful case-study analyses of the relation between therapeutic activities and physiological arousal may inform clinical practice.by Elliott B. Hedman.S.M

Recent changes in summer distribution and numbers of migratory caribou on the southern Hudson Bay coast

The status of migratory woodland caribou inhabiting the coastal region in southern Hudson Bay is dynamic. The Pen Islands Herd within that region was defined in the 1990s, but opportunistic observations between 1999 and 2007 suggested that its status had significantly changed since the late 1980s and early 1990s. We undertook systematic surveys from the Hayes River, MB, to the Lakitusaki River, ON, in 2008 and 2009 to determine current distribution and minimum numbers of woodland caribou on the southern Hudson Bay coast from the Hayes River, Manitoba, to the Lakitusaki River, Ontario. We documented a significant change in summer distribution during the historical peak aggregation period (7-15 July) compared to the 1990s. In 2008 and 2009, respectively, we tallied 3529 and 3304 animals; however, fewer than 180 caribou were observed each year in the Pen Islands Herd’s former summer range where over 10 798 caribou were observed during a systematic survey in 1994. Over 80% of caribou were in the Cape Henrietta Maria area of Ontario. Calf proportions in herds varied from 8% of animals in the west to 20% in the east. Our 2008 and 2009 systematic surveys were focused on the immediate coast, but one exploratory flight inland suggested that more caribou may be inland than had been observed in the 1980s-1990s. The causes of change in the numbers and distribution in the coastal Hudson Bay Lowlands and the association of current caribou with the formerly large Pen Islands Herd may be difficult to determine because of gaps in monitoring, but satellite telemetry, genetic sampling, remote sensing, habitat analysis, and aboriginal knowledge are all being used to pursue answers

Combined Heat and Power: Effective Energy Solutions for a Sustainable Future

Combined Heat and Power (CHP) solutions represent a proven and effective near-term energy option to help the United States enhance energy efficiency, ensure environmental quality, promote economic growth, and foster a robust energy infrastructure. Using CHP today, the United States already avoids more than 1.9 Quadrillion British thermal units (Quads) of fuel consumption and 248 million metric tons of carbon dioxide (CO{sub 2}) emissions annually compared to traditional separate production of electricity and thermal energy. This CO{sub 2} reduction is the equivalent of removing more than 45 million cars from the road. In addition, CHP is one of the few options in the portfolio of energy alternatives that combines environmental effectiveness with economic viability and improved competitiveness. This report describes in detail the four key areas where CHP has proven its effectiveness and holds promise for the future as an: (1) Environmental Solution: Significantly reducing CO{sub 2} emissions through greater energy efficiency; (2) Competitive Business Solution: Increasing efficiency, reducing business costs, and creating green-collar jobs; (3) Local Energy Solution: Deployable throughout the US; and (4) Infrastructure Modernization Solution: Relieving grid congestion and improving energy security. CHP should be one of the first technologies deployed for near-term carbon reductions. The cost-effectiveness and near-term viability of widespread CHP deployment place the technology at the forefront of practical alternative energy solutions such as wind, solar, clean coal, biofuels, and nuclear power. Clear synergies exist between CHP and most other technologies that dominate the energy and environmental policy dialogue in the country today. As the Nation transforms how it produces, transports, and uses the many forms of energy, it must seize the clear opportunity afforded by CHP in terms of climate change, economic competitiveness, energy security, and infrastructure modernization. The energy efficiency benefits of CHP offer significant, realistic solutions to near- and long-term energy issues facing the Nation. With growing demand for energy, tight supply options, and increasing environmental constraints, extracting the maximum output from primary fuel sources through efficiency is critical to sustained economic development and environmental stewardship. Investment in CHP would stimulate the creation of new 'green-collar' jobs, modernize aging energy infrastructure, and protect and enhance the competitiveness of US manufacturing industries. The complementary roles of energy efficiency, renewable energy, and responsible use of traditional energy supplies must be recognized. CHP's proven performance and potential for wider use are evidence of its near-term applicability and, with technological improvements and further elimination of market barriers, of its longer term promise to address the country's most important energy and environmental needs. A strategic approach is needed to encourage CHP where it can be applied today and address the regulatory and technical challenges preventing its long-term viability. Experience in the United States and other countries shows that a balanced set of policies, incentives, business models, and investments can stimulate sustained CHP growth and allow all stakeholders to reap its many well-documented benefits

First attempt at measuring the CMB cross-polarization

We compute upper limits on CMB cross-polarization by cross-correlating the PIQUE and Saskatoon experiments. We also discuss theoretical and practical issues relevant to measuring cross-polarization and illustrate them with simulations of the upcoming BOOMERanG 2002 experiment. We present a method that separates all six polarization power spectra (TT, EE, BB, TE, TB, EB) without any other "leakage" than the familiar EE-BB mixing caused by incomplete sky coverage. Since E and B get mixed, one might expect leakage between TE and TB, between EE and EB and between BB and EB - our method eliminates this by preserving the parity symmetry under which TB and EB are odd and the other four power spectra are even.Comment: Polarization movies can be found at http://www.hep.upenn.edu/~angelica/polarization.htm

Report to Congress on Server and Data Center Energy Efficiency: Public Law 109-431: Appendices

This report is the appendices to a companion report, prepared in response to the request from Congress stated in Public Law 109-431 (H.R. 5646),"An Act to Study and Promote the Use of Energy Efficient Computer Servers in the United States." This report assesses current trends in energy use and energy costs of data centers and servers in the U.S. (especially Federal government facilities) and outlines existing and emerging opportunities for improved energy efficiency. It also makes recommendations for pursuing these energy-efficiency opportunities broadly across the country through the use of information and incentive-based programs

Report to Congress on Server and Data Center Energy Efficiency: Public Law 109-431: Appendices

This report is the appendices to a companion report, prepared in response to the request from Congress stated in Public Law 109-431 (H.R. 5646),"An Act to Study and Promote the Use of Energy Efficient Computer Servers in the United States." This report assesses current trends in energy use and energy costs of data centers and servers in the U.S. (especially Federal government facilities) and outlines existing and emerging opportunities for improved energy efficiency. It also makes recommendations for pursuing these energy-efficiency opportunities broadly across the country through the use of information and incentive-based programs

Fat Oxidation, Fitness and Skeletal Muscle Expression of Oxidative/Lipid Metabolism Genes in South Asians: Implications for Insulin Resistance?

<p><b>Background:</b> South Asians are more insulin resistant than Europeans, which cannot be fully explained by differences in adiposity. We investigated whether differences in oxidative capacity and capacity for fatty acid utilisation in South Asians might contribute, using a range of whole-body and skeletal muscle measures.</p> <p><b>Methodology/Principal Findings:</b> Twenty men of South Asian ethnic origin and 20 age and BMI-matched men of white European descent underwent exercise and metabolic testing and provided a muscle biopsy to determine expression of oxidative and lipid metabolism genes and of insulin signalling proteins. In analyses adjusted for age, BMI, fat mass and physical activity, South Asians, compared to Europeans, exhibited; reduced insulin sensitivity by 26% (p = 0.010); lower VO2max (40.6±6.6 vs 52.4±5.7 ml.kg−1.min−1, p = 0.001); and reduced fat oxidation during submaximal exercise at the same relative (3.77±2.02 vs 6.55±2.60 mg.kg−1.min−1 at 55% VO2max, p = 0.013), and absolute (3.46±2.20 vs 6.00±1.93 mg.kg−1.min−1 at 25 ml O2.kg−1.min−1, p = 0.021), exercise intensities. South Asians exhibited significantly higher skeletal muscle gene expression of CPT1A and FASN and significantly lower skeletal muscle protein expression of PI3K and PKB Ser473 phosphorylation. Fat oxidation during submaximal exercise and VO2max both correlated significantly with insulin sensitivity index and PKB Ser473 phosphorylation, with VO2max or fat oxidation during exercise explaining 10–13% of the variance in insulin sensitivity index, independent of age, body composition and physical activity.</p> <p><b>Conclusions/Significance:</b> These data indicate that reduced oxidative capacity and capacity for fatty acid utilisation at the whole body level are key features of the insulin resistant phenotype observed in South Asians, but that this is not the consequence of reduced skeletal muscle expression of oxidative and lipid metabolism genes.</p&gt