On the enumeration of certain equivalence classes of Euler paths of full graphs

This thesis treats the problem of enumerating equivalence classes of Euler paths of full graphs. A full graph is a complete, unordered, graph with no loops or repeated edges. Two Euler paths are equivalent if and only if one can be transformed into the other by a finite sequence of rotations and reflections of the path and permutations of its vertices. We obtain the number of equivalence classes for full graphs on 3 and 5 vertices but obtain only partial results for full graphs on 7 vertices. We prove theorems which enable us to obtain representatives of all equivalence classes with relatively few repetitions for any full graph. Finally we prove a monotoneity theorem for the number of equivalence classes

Ambulance staff and end-of-life hospital admissions: A qualitative interview study.

BACKGROUND: Hospital admissions for end-of-life patients, particularly those who die shortly after being admitted, are recognised to be an international policy problem. How patients come to be transferred to hospital for care, and the central role of decisions made by ambulance staff in facilitating transfer, are under-explored. AIM: To understand the role of ambulance staff in the admission to hospital of patients close to the end of life. DESIGN: Qualitative interviews, using particular patient cases as a basis for discussion, analysed thematically. PARTICIPANTS/SETTING: Ambulance staff ( n = 6) and other healthcare staff (total staff n = 30), involved in the transfer of patients (the case-patients) aged more than 65 years to a large English hospital who died within 3 days of admission with either cancer, chronic obstructive pulmonary disease or dementia. RESULTS: Ambulance interviewees were broadly positive about enabling people to die at home, provided they could be sure that they would not benefit from treatment available in hospital. Barriers for non-conveyance included difficulties arranging care particularly out-of-hours, limited available patient information and service emphasis on emergency care. CONCLUSION: Ambulance interviewees fulfilled an important role in the admission of end-of-life patients to hospital, frequently having to decide whether to leave a patient at home or to instigate transfer to hospital. Their difficulty in facilitating non-hospital care at the end of life challenges the negative view of near end-of-life hospital admissions as failures. Hospital provision was sought for dying patients in need of care which was inaccessible in the community

Diachrony of mammalian appearance events: Implications for biochronology: Geology, v. 26

Alroy (1998) argued that there is significant diachrony in the first and last appearance events (FAE and LAE) of Cenozoic mammals in North America, and therefore individual events cannot be used for biochronology. A close examination of the data used in his paper, however, suggests that (1) most of the diachrony is largely a sampling artifact, and (2) once sampling is factored out, the remaining apparent diachrony would have little effect on the biochronological correlations that have been established for over a century. These points are demonstrated by Alroy's (1998, Any comparison between two such unequal records will inevitably yield large diachrony values, simply because of the large stratigraphic gaps in the West Coast. Alroy (personal commun.) provided me with a list of the ten "worst offenders" among FAEs. Most of these taxa (Thylacaelurus, Domnina, Pseudotrimylus, Mystipterus, Anchitheriomys, Nyctitherium, Plionictis, Mytonomys, Paramys, Leptodontomys) are small, relatively rare mammals that rarely have been important in biochronology. In addition, anyone with extensive first-hand experience in identifying the Miocene faunas of the West Coast knows they are much scrappier and less complete than those of the Midcontinent, with many erroneous or tentative identifications based on fragmentary specimens. If many of these uncertain identifications were thrown out, the apparent diachrony might diminish even further. Instead of including all available taxa, most of which are rare and subject to sampling problems and historically have not been important in North American mammalian biochronology, Alroy's point would be better demonstrated if he were to focus on mammals (such as those given by Woodburne, 1987, Fig. 10.1) which were explicitly designated as index taxa for mammalian biochronology. If this list were to show significant diachrony (greater than the available chronologic resolution), then there might be serious concern about using fossil mammals as time indicators. But comparisons based on rarely sampled taxa that were not important to the original biochronologic framework are of dubious value. I thank John Alroy for providing data, and S. L. Walsh and M. O. Woodburne for comments

The role of religion in the longer-range future, April 6, 7, and 8, 2006

This repository item contains a single issue of the Pardee Conference Series, a publication series that began publishing in 2006 by the Boston University Frederick S. Pardee Center for the Study of the Longer-Range Future. This conference that took place during April 6, 7, and 8, 2006. Co-organized by David Fromkin, Director, Frederick S. Pardee Center for the Study of the Longer-Range Future, and Ray L. Hart, Dean ad interim Boston University School of TheologyThe conference brought together some 40 experts from various disciplines to ponder upon the “great dilemma” of how science, religion, and the human future interact. In particular, different panels looked at trends in what is happening to religion around the world, questions about how religion is impacting the current political and economic order, and how the social dynamics unleashed by science and by religion can be reconciled.Carnegie Council on Ethics and International Affair

The osteology of ‘Periptychus carinidens’: a robust, ungulate-like placental mammal (Mammalia: Periptychidae) from the Paleocene of North America

Periptychus is the archetypal genus of Periptychidae, a clade of prolific Paleocene 'condylarth' mammals from North America that were among the first placental mammals to radiate after the end-Cretaceous extinction, remarkable for their distinctive dental anatomy. A comprehensive understanding of the anatomy of Periptychus has been hindered by a lack of cranial and postcranial material and only cursory description of existing material. We comprehensively describe the cranial, dental and postcranial anatomy of Periptychus carinidens based on new fossil material from the early Paleocene (Torrejonian) of New Mexico, USA. The cranial anatomy of Periptychus is broadly concurrent with the inferred plesiomorphic eutherian condition, albeit more robust in overall construction. The rostrum is moderately elongate with no constriction, the facial region is broad, and the braincase is small with a well-exposed mastoid on the posterolateral corner and tall sagittal and nuchal crests. The dentition of Periptychus is characterized by strongly crenulated enamel, enlarged upper and lower premolars with a tall centralised paracone/protoconid. The postcranial skeleton of Periptychus is that of a robust, medium-sized (~20 Kg) stout-limbed animal that was incipiently mediportal and adopted a plantigrade stance. The structure of the fore- and hindlimb of Periptychus corresponds to that of a typically terrestrial mammal, while morphological features of the forelimb such as the low tubercles of the humerus, long and prominent deltopectoral crest, pronounced medial epicondyle, and hemispherical capitulum indicate some scansorial and/or fossorial ability. Most striking is the strongly dorsoplantarly compressed astragalus of Periptychus, which in combination with the distal crus and calcaneal morphology indicates a moderately mobile cruropedal joint. The anatomy of Periptychus is unique and lacks any extant analogue; it combines a basic early placental body plan with numerous unique specializations in its dental, cranial and postcranial anatomy that exemplify the ability of mammals to adapt and evolve following catastrophic environmental upheaval

Living God Pandeism: Evidential Support

Pandeism is the belief that God chose to wholly become our Universe, imposing principles at this Becoming that have fostered the lawful evolution of multifarious structures, including life and consciousness. This article describes and defends a particular form of pandeism: living God pandeism (LGP). On LGP, our Universe inherits all of God's unsurpassable attributes—reality, unity, consciousness, knowledge, intelligence, and effectiveness—and includes as much reality, conscious and unconscious, as is possible consistent with retaining those attributes. God and the Universe, together “God-and-Universe,” is also eternal into the future and the past. The article derives testable hypotheses from these claims and shows that the evidence to date confirms some of these while falsifying none. Theism cannot be tested in the same way

Prehospital transdermal glyceryl trinitrate in patients with ultra-acute presumed stroke (RIGHT-2): an ambulance-based, randomised, sham-controlled, blinded, phase 3 trial

Background High blood pressure is common in acute stroke and is a predictor of poor outcome; however, large trials of lowering blood pressure have given variable results, and the management of high blood pressure in ultra-acute stroke remains unclear. We investigated whether transdermal glyceryl trinitrate (GTN; also known as nitroglycerin), a nitric oxide donor, might improve outcome when administered very early after stroke onset. Methods We did a multicentre, paramedic-delivered, ambulance-based, prospective, randomised, sham-controlled, blinded-endpoint, phase 3 trial in adults with presumed stroke within 4 h of onset, face-arm-speech-time score of 2 or 3, and systolic blood pressure 120 mm Hg or higher. Participants were randomly assigned (1:1) to receive transdermal GTN (5 mg once daily for 4 days; the GTN group) or a similar sham dressing (the sham group) in UK based ambulances by paramedics, with treatment continued in hospital. Paramedics were unmasked to treatment, whereas participants were masked. The primary outcome was the 7-level modified Rankin Scale (mRS; a measure of functional outcome) at 90 days, assessed by central telephone follow-up with masking to treatment. Analysis was hierarchical, first in participants with a confirmed stroke or transient ischaemic attack (cohort 1), and then in all participants who were randomly assigned (intention to treat, cohort 2) according to the statistical analysis plan. This trial is registered with ISRCTN, number ISRCTN26986053. Findings Between Oct 22, 2015, and May 23, 2018, 516 paramedics from eight UK ambulance services recruited 1149 participants (n=568 in the GTN group, n=581 in the sham group). The median time to randomisation was 71 min (IQR 45–116). 597 (52%) patients had ischaemic stroke, 145 (13%) had intracerebral haemorrhage, 109 (9%) had transient ischaemic attack, and 297 (26%) had a non-stroke mimic at the final diagnosis of the index event. In the GTN group, participants’ systolic blood pressure was lowered by 5·8 mm Hg compared with the sham group (p<0·0001), and diastolic blood pressure was lowered by 2·6 mm Hg (p=0·0026) at hospital admission. We found no difference in mRS between the groups in participants with a final diagnosis of stroke or transient ischaemic stroke (cohort 1): 3 (IQR 2–5; n=420) in the GTN group versus 3 (2–5; n=408) in the sham group, adjusted common odds ratio for poor outcome 1·25 (95% CI 0·97–1·60; p=0·083); we also found no difference in mRS between all patients (cohort 2: 3 [2–5]; n=544, in the GTN group vs 3 [2–5]; n=558, in the sham group; 1·04 [0·84–1·29]; p=0·69). We found no difference in secondary outcomes, death (treatment-related deaths: 36 in the GTN group vs 23 in the sham group [p=0·091]), or serious adverse events (188 in the GTN group vs 170 in the sham group [p=0·16]) between treatment groups. Interpretation Prehospital treatment with transdermal GTN does not seem to improve functional outcome in patients with presumed stroke. It is feasible for UK paramedics to obtain consent and treat patients with stroke in the ultraacute prehospital setting. Funding British Heart Foundation

God is not one: the eight rival religions that run the world and why their difference matter

In this book, the author argues that persistent attempts to portray all religions as different paths to the same God overlook the distinct problem that each tradition seeks to solve. Delving into the different problems and solutions that Islam, Christianity, Buddhism, Judaism, Confucianism, Yoruba Religion, Daoism and Atheism strive to combat, God is Not One is an indispensable guide to the questions human beings have asked for millennia?and to the disparate paths we are taking to answer them today