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This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert–Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn–Banach theorem, the Krein–Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.
On the eve of the early modern age, Ming emperors ruled around one-quarter of the globe's population, the majority of the world's largest urban centers, the biggest standing army on the planet, and the day's most affluent economy. Far from being isolated, the Ming court was the greatest center of political patronage in East Eurasia, likely the world. Although the Ming throne might trumpet its superiority, it understood its need for allegiance from ruling elites in neighbouring regions. In this major new study, David M. Robinson explores Ming emperors' relations with the single most important category of Eurasian nobles: descendants of Ghengis Khan and their Mongol supporters. Exploring the international dimensions of Chinese rule, this revisionist but accessible account shows that even rulers such as the Ming emperor needed allies and were willing to pay for them.
During the thirteenth century, the Mongols created the greatest empire in human history. Genghis Khan and his successors brought death and destruction to Eurasia. They obliterated infrastructure, devastated cities, and exterminated peoples. They also created courts in China, Persia, and southern Russia, famed throughout the world as centers of wealth, learning, power, religion, and lavish spectacle. The great Mongol houses established standards by which future rulers in Eurasia would measure themselves for centuries. In this ambitious study, David M. Robinson traces how in the late fourteenth century the newly established Ming dynasty (1368–1644) in China crafted a narrative of the fallen Mongol empire. To shape the perceptions and actions of audiences at home and abroad, the Ming court tailored its narrative of the Mongols to prove that it was the rightful successor to the Mongol empire. This is a story of how politicians exploit historical memory for their own gain.
MD-PhD training programs train physician-scientists to pursue careers involving both clinical care and research, but decreasing numbers of physician-scientists stay engaged in clinical research. We sought to identify current clinical research training methods utilized by MD-PhD programs, and to assess how effective they are in promoting self-efficacy for clinical research.
U.S. MD-PhD students were surveyed in April-May 2018. Students identified the clinical research training methods they participated in, and self-efficacy in clinical research was determined using a modified 12-item Clinical Research Appraisal Inventory.
Responses were received from 61 of 108 MD-PhD institutions. Responses were obtained from 647 MD-PhD students in all years of training. The primary methods of clinical research training included no clinical research training, and various combinations of didactics, mentored clinical research, and a clinical research practicum. Students with didactics plus mentored clinical research had similar self-efficacy as those with didactics plus clinical research practicum. Training activities that differentiated students who did and did not have the clinical research practicum experience and were associated with higher self-efficacy included exposure to Institutional Review Boards and participation in human subject recruitment.
A clinical research practicum was found to be an effective option for MD-PhD students conducting basic science research to gain experience in clinical research skills. Clinical research self-efficacy was correlated with the amount of clinical research training and specific clinical research tasks, which may inform curriculum development for a variety of clinical & translational research training programs, e.g., MD-PhD, TL1, and KL2.
The aim of this study was to test the hypotheses that differences in residual feed intake (RFI) of beef steers are related to diet sorting, diet nutrient composition, energy intake and apparent digestibility. To phenotype steers for RFI, 69 weaned Angus × Hereford steers were fed individually for 56 days. A finishing diet was fed twice daily on an ad libitum basis to maintain approximately 0.5 to 1.0 kg refusals. Diet offered and refused was measured daily, and DM intakes (DMI) were calculated by difference. Body weights were recorded at 14-day intervals following an 18-h solid feed withdrawal. The residual feed intake was determined as the residual of the regression of DMI versus mid-test metabolic BW (BW0.75) and average daily gain (ADG). Particle size distributions of diet and refusals were determined using the Penn State Particle Separator to quantify diet sorting. Sampling of diet, refusals and feces were repeated in four sampling periods which occurred during weeks 2, 4, 6 and 8 of the study. Particle size distributions of refusals and diet were analyzed in weeks 2, 4 and 6, and sampling for chemical analysis of refusals and feces occurred in all four periods. Indigestible neutral detergent fiber (288 h in situ) was used as an internal marker of apparent digestibility. We conclude that preference for the intakes of particles > 19 mm and 4 to 8 mm were negatively correlated to RFI and ADG, respectively. Although steers did sort to consume a different diet composition than offered, diet sorting did not impact intake energy, digestible energy or DM digestibility.
Reducing food portion size could reduce energy intake. However it is unclear at what point consumers respond to reductions by increasing intake of other foods. We predicted that a change to a served portion size would only result in significant additional eating within the same meal if the resulting portion size was no longer visually perceived as ‘normal’. Participants in two crossover experiments (Study 1: N = 45; Study 2: N = 37; adults, 51% female) were served different sized lunchtime portions on three occasions that were perceived by a previous sample of participants as ‘large-normal’, ‘small-normal’, and ‘smaller than normal’ respectively. Participants were able to serve themselves additional helpings of the same food (Study 1), or dessert items (Study 2). In Study 1 there was a small but significant increase in additional intake when participants were served the ‘smaller than normal’ compared to the ‘small-normal’ portion, m difference = 39 kcal, p = .002, d = 0.35, but there was no significant difference between the ‘small-normal’ and ‘large-normal’ conditions, m difference = 20 kcal, p = .08, d = 0.24. A similar pattern was observed in Study 2: m difference = 36 kcal, p = .06, d = 0.18; m difference = 20 kcal, p = .26, d = 0.10. However, smaller portion sizes were each associated with a significant reduction in total meal intake. The findings provide preliminary evidence that reductions that result in portions appearing ‘normal’ in size may limit additional eating, but confirmatory research is needed. (250/250 words)
This essay advances a version of the flicker of freedom defense of the Principle of Alternative Possibilities (PAP) and shows that it is invulnerable to the major objections facing other versions of this defense. Proponents of the flicker defense argue that Frankfurt-style cases fail to undermine PAP because agents in these cases continue to possess alternative possibilities. Critics of the flicker strategy contend that the alternatives that remain open to agents in these cases are unable to rebuff Frankfurt-style attack on the grounds that they are insufficiently robust (that is, morally significant in a way that could ground ascriptions of moral responsibility). Once we see that omissions are capable of constituting robust alternatives, even when they are not intentional, it becomes clear that agents in these cases do indeed possess robust alternative possibilities—alternatives that are ineliminable from cases of this sort. The upshot is that Frankfurt-style cases are theoretically incapable of providing us with good grounds for rejecting PAP.
With generous support from the National Science Foundation, we have spent the past four years developing an archaeological radiocarbon database for the United States. Here, we highlight the importance of spatial data for open-access, national-scale archaeological databases and the development of paleodemography research. We propose a new method for analyzing radiocarbon time series in the context of paleoclimate models. This method forces us to confront one of the central challenges to realizing the full potential of national-scale databases: the quality of the spatial data accompanying radiocarbon dates. We seek to open a national discussion on the use of spatial data in open-source archaeological databases.
Provision of critical care and resuscitation was not practical during early missions into space. Given likely advancements in commercial spaceflight and increased human presence in low Earth orbit (LEO) in the coming decades, development of these capabilities should be considered as the likelihood of emergent medical evacuation increases.
PubMed, Web of Science, Google Scholar, National Aeronautics and Space Administration (NASA) Technical Server, and Defense Technical Information Center were searched from inception to December 2018. Articles specifically addressing critical care and resuscitation during emergency medical evacuation from LEO were selected. Evidence was graded using Oxford Centre for Evidence-Based Medicine guidelines.
The search resulted in 109 articles included in the review with a total of 2,177 subjects. There were two Level I systematic reviews, 33 Level II prospective studies with 647 subjects, seven Level III retrospective studies with 1,455 subjects, and two Level IV case series with four subjects. There were two Level V case reports and 63 pertinent review articles.
The development of a medical evacuation capability is an important consideration for future missions. This review revealed potential hurdles in the design of a dedicated LEO evacuation spacecraft. The ability to provide critical care and resuscitation during transport is likely to be limited by mass, volume, cost, and re-entry forces. Stabilization and treatment of the patient should be performed prior to departure, if possible, and emphasis should be on a rapid and safe return to Earth for definitive care.
The Indian Supreme Court sits in panels and can have up to 31 judges. This chapter explores how the Indian Supreme Court developed its current structure and the impact of this structure on its functioning. It argues that the Supreme Court’s structure has a range of inter-related effects that includes increasing access to the Court, producing a “polyvocal” jurisprudence that destabilizes stare decisis, spurring experimentation among judges, fostering a “Chief Justice dominant” Court, and reducing the perceived partisanship of judges. Mapping the structure of the Court, as well as the Court’s relationship with the rest of the judiciary, helps us appreciate how judges ultimately interpret the law and the Constitution not in isolation, but within a larger judicial architecture.
Maternal depression during pregnancy increases the risk for adverse developmental outcomes in children. However, the underpinning biological mechanisms remain unknown. We tested whether depression was associated with levels of and change in the inflammatory state during pregnancy, if early pregnancy overweight/obesity or diabetes/hypertensive pregnancy disorders accounted for/mediated these effects, and if depression added to the inflammation that typically accompanies these conditions.
We analyzed plasma high-sensitivity C-reactive protein (hsCRP) and glycoprotein acetyls at three consecutive stages during pregnancy, derived history of depression diagnoses before pregnancy from Care Register for Healthcare (HILMO) (N = 375) and self-reports (N = 347) and depressive symptoms during pregnancy using the Center for Epidemiological Studies Depression Scale completed concurrently to blood samplings (N = 295). Data on early pregnancy body mass index (BMI) and diabetes/hypertensive pregnancy disorders came from medical records.
Higher overall hsCRP levels, but not change, during pregnancy were predicted by history of depression diagnosis before pregnancy [HILMO: mean difference (MD) = 0.69 standard deviation (s.d.) units; 95% confidence interval (CI) 0.26–1.11, self-report: MD = 0.56 s.d.; 95% CI 0.17–0.94] and higher depressive symptoms during pregnancy (0.06 s.d. per s.d. increase; 95% CI 0.00–0.13). History of depression diagnosis before pregnancy also predicted higher overall glycoprotein acetyls (HILMO: MD = 0.52 s.d.; 95% CI 0.12–0.93). These associations were not explained by diabetes/hypertensive disorders, but were accounted for and mediated by early pregnancy BMI. Furthermore, in obese women, overall hsCRP levels increased as depressive symptoms during pregnancy increased (p = 0.006 for interaction).
Depression is associated with a proinflammatory state during pregnancy. These associations are mediated by early pregnancy BMI, and depressive symptoms during pregnancy aggravate the inflammation related to obesity.
A wide margin of crop safety is a desirable trait of POST herbicides, and investigation of crop tolerance is a key step in evaluation of new herbicides. Six field experiments were conducted in Ontario, Canada, from 2017 to 2018 to examine the influence of corn (Zea mays L.) hybrid (DKC42-60RIB, DKC43-47RIB, P0094AM, and P9840AM), application rate (1X and 2X), and application timing (PRE, V1, V3, and V5) on the tolerance of field corn to tolpyralate, a new 4-hydroxyphenyl pyruvate dioxygenase inhibitor, co-applied with atrazine. Two corn hybrids (DKC42-60RIB and DKC43-47RIB) exhibited slightly greater visible injury from tolpyralate + atrazine, applied POST, than P0094AM and P9840AM at 1 to 2 wk after application (WAA); hybrids responded similarly with respect to height, grain moisture, and yield. Applications of tolpyralate + atrazine at a 2X rate (80 + 2,000 g ai ha−1) induced greater injury (≤31.6%) than the field rate (40 + 1,000 g ha−1) (≤11.6%); the 2X rate applied at V1 or V3 decreased corn height and slightly increased grain moisture at harvest. On average, field rates resulted in marginally higher grain yields than 2X rates. Based on mixed-model multiple stepwise regression analysis, the air temperature at application, time of day, temperature range in the 24 h before application, and precipitation following application were useful predictor variables in estimating crop injury with tolpyralate + atrazine; however, additional environmental variables also affected crop injury. These results demonstrate the margin of corn tolerance with tolpyralate + atrazine, which provides a basis for optimization of application timing, rate, and corn hybrid selection to mitigate the risk of crop injury with this herbicide tank mixture.
The role of aromatherapy in supportive symptom management for pediatric patients receiving palliative care has been underexplored. This pilot study aimed to measure the impact of aromatherapy using validated child-reported nausea, pain, and mood scales 5 minutes and 60 minutes after aromatherapy exposure.
The 3 intervention arms included use of a symptom-specific aromatherapy sachet scent involving deep breathing. The parallel default control arm (for those children with medical exclusion criteria to aromatherapy) included use of a visual imagery picture envelope and deep breathing. Symptom burden was sequentially assessed at 5 and 60 minutes using the Baxter Retching Faces scale for nausea, the Wong-Baker FACES scale for pain, and the Children's Anxiety and Pain Scale (CAPS) for anxious mood. Ninety children or adolescents (mean age 9.4 years) at a free-standing children's hospital in the United States were included in each arm (total n = 180).
At 5 minutes, there was a mean improvement of 3/10 (standard deviation [SD] 2.21) on the nausea scale; 2.6/10 (SD 1.83) on the pain scale; and 1.6/5 (SD 0.93) on the mood scale for the aromatherapy cohort (p < 0.0001). Symptom burden remained improved at 60 minutes post-intervention (<0.0001). Visual imagery with deep breathing improved self-reports of symptoms but was not as consistently sustained at 60 minutes.
Significance of results
Aromatherapy represents an implementable supportive care intervention for pediatric patients receiving palliative care consults for symptom burden. The high number of children disqualified from the aromatherapy arm because of pulmonary or allergy indications warrants further attention to outcomes for additional breathing-based integrative modalities.