The purpose of this book is to provide a self-contained account, accessible to the non-specialist, of algebra necessary for the solution of the integrability problem for transitive pseudogroup ...structures.
Originally published in 1981.
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For many years, it was believed that the solvability of the integrability problem for a transitive Lie pseudogroup depends only on the local solvability of linear differential operators arising from ...the abelian quotients in Guillemin's Jordan-Holder decomposition for the transitive Lie algebra associated to the pseudogroup. We provide an example of a transitive pseudogroup for which the integrability problem is not solvable and whose corresponding Jordan-Holder sequence has only non-abelian quotients.
In this paper, we examine some of the ways in which abstract algebraic objects in a transitive Lie algebra $L$ are expressed geometrically in the action of each transitive Lie pseudogroup $\Gamma$ ...associated to $L$. We relate those chain decompositions of $\Gamma$ which result from considering $\Gamma$- invariant foliations to Jordan-Hölder sequences (in the sense of Cartan and Guillemin) for $L$. Local coordinates are constructed which display the nature of the partial differential equations defining $\Gamma$; in particular, locally homogeneous pseudocomplex structures (also called CR-structures) are associated to the nonabelian quotients of complex type in a Jordan-Hölder sequence for $L$.
Hypoxemia is usually associated with acute mountain sickness (AMS), but most studies have varied in time and magnitude of altitude exposure, exercise, diet, environmental conditions, and severity of ...pulmonary edema. We wished to determine whether hypoxemia occurred early in subjects who developed subsequent AMS while resting at a simulated altitude of 426 mmHg (approximately 16,000 ft or 4880 m). Exposures of 51 men and women were carried out for 8 to 12 h. AMS was determined by Lake Louise (LL) and AMS-C scores near the end of exposure, with spirometry and gas exchange measured the day before (C) and after 1 (A1), 6 (A6), and last (A12) h at simulated altitude and arterial blood at C, A1, and A12. Responses of 16 subjects having the lowest AMS scores (nonAMS: mean LL=1.0, range=0-2.5) were compared with the 16 having the highest scores (+AMS: mean LL=7.4, range=5-11). Total and alveolar ventilation responses to altitude were not different between groups. +AMS had significantly lower PaO2 (4.6 mmHg) and SaO2 (4.8%) at A1 and 3.3 mmHg and 3.1% at A12. Spirometry changes were similar at A1, but at A6 and A12 reduced vital capacity (VC) and increased breathing frequency suggested interstitial pulmonary edema in +AMS. The early hypoxemia in +AMS appears to be the result of diffusion impairment or venous admixture, perhaps due to a unique autonomic response affecting pulmonary perfusion. Early hypoxemia may be useful to predict AMS susceptibility.
Arts & Humanities Jack Perry Brown; Conn, David R; Smith, Douglas F ...
Library Journal,
06/2013, Volume:
138, Issue:
11
Book Review
Books covering arts and humanities subjects are reviewed. One of the books reviewed is Cormac McCarthy's House: Reading McCarthy Without Walls by Peter Josyph. This mélange is recommended for ...McCarthy devotees only (there is a Cormac McCarthy Society). Though written in an entertaining fashion, Josyph's book is of marginal interest. Also reviews is Holy Sh*t: A Brief History of Swearing by Melissa Mohr. Mohr presents a history of cursing that is guided by humor and scholarship. The book is recommended for serious language lovers and history buffs.
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