A Descriptive and analytic look at Marx's own explanations of the falling rate of profit (second version)

This paper examines, both descriptively and analytically, Marx's arguments for the falling rate of profit from the Hodgskin section of Theories of Surplus Value, The General Law section of the recently published Volume 33 of the Collected Works and Chapter 3 of Volume III of Capital. The conclusions are as follows: First, Marx realised that his main attempt to give an intrinsic explanation of the falling rate of profit, which occurred in the General Law section, had failed; but he still hoped that he would be able to demonstrate it in the future. Second, the Hodgskin and General Law sections contain a number of subsidiary explanations, mostly related to resource scarcity, some of which are correct. Third, Part III of volume III does not contain a demonstration of the falling rate of profit, but a description of the role of the falling rate of profit in capitalist development. Forth, it also contains suppressed references to resource scarcity. And finally, in Chapter 3 of Volume III, Marx says that it is resource scarcity that causes the fall in the rate of profit described in Part III of the same volume. The key to all these conclusions in the careful analysis of the General Law section.

A descriptive and analytic look at Marxs own explanations for the falling rate of profit

Marxs conclusions about the falling rate of profit have been analysed exhaustively. Usually this has been done by building models which broadly conform to Marxs views and then showing that his conclusions are either correct or, more frequently, that they can not be sustained. By contrast, this paper examines, both descriptively and analytically, Marxs arguments from the Hodgskin section of Theories of Surplus Value, the General Law section of the recently published Volume 33 of the Collected Works and Chapter 3 of Volume III of Capital. It also gives a new interpretation of Part III of this last work. The main conclusions are first, that Marx had an intrinsic explanation of the falling rate of profit but was unable to give it a satisfactory demonstration and second, that he had a number of subsidiary explanations of which the most important was resource scarcity. The paper closes with an assessment of the pedigree of various currents of Marxian thought on this issue.

A descriptive and analytic look at Marxs own explanations for the falling rate of profit (Long Version)

Marxs conclusions about the falling rate of profit have been analysed exhaustively. Usually this has been done by building models which broadly conform to Marxs views and then showing that his conclusions are either correct or, more frequently, that they can not be sustained. By contrast, this paper examines, both descriptively and analytically, Marxs arguments from the Hodgskin section of Theories of Surplus Value, the General Law section of the recently published Volume 33 of the Collected Works and Chapter 3 of Volume III of Capital. It also gives a new interpretation of Part III of this last work. The main conclusions are first, that Marx had an intrinsic explanation of the falling rate of profit but was unable to give it a satisfactory demonstration and second, that he had a number of subsidiary explanations of which the most important was resource scarcity. The paper closes with an assessment of the pedigree of various currents of Marxian thought on this issue.

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.

Horospheres in hyperbolic geometry

In this paper we investigate the role of horospheres in Integral Geometry and Differential Geometry. In particular we study envelopes of families of horocycles by means of “support maps”. We define invariant “linear combinations” of support maps or curves. Finally we obtain Gauss-Bonnet type formulas and Chern-Lashof type inequalities.

Continuity of set-valued maps revisited in the light of tame geometry

Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense). The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end.

Geometry and physics of knots

KNOTS are usually categorized in terms of topological properties that are invariant under changes in a knot's spatial configuration(1-4). Here we approach knot identification from a different angle, by considering the properties of particular geometrical forms which we define as 'ideal'. For a knot with a given topology and assembled from a tube of uniform diameter, the ideal form is the geometrical configuration having the highest ratio of volume to surface area. Practically, this is equivalent to determining the shortest piece of tube that can be closed to form the knot. Because the notion of an ideal form is independent of absolute spatial scale, the length-to-diameter ratio of a tube providing an ideal representation is constant, irrespective of the tube's actual dimensions. We report the results of computer simulations which show that these ideal representations of knots have surprisingly simple geometrical properties. In particular, there is a simple linear relationship between the length-to-diameter ratio and the crossing number-the number of intersections in a two-dimensional projection of the knot averaged over all directions. We have also found that the average shape of knotted polymeric chains in thermal equilibrium is closely related to the ideal representation of the corresponding knot type. Our observations provide a link between ideal geometrical objects and the behaviour of seemingly disordered systems, and allow the prediction of properties of knotted polymers such as their electrophoretic mobility(5).

Generalized descriptive set theory and classification theory

Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. We also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. Our results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.

Wing geometry as a tool for studying the Lutzomyia longipalpis (Diptera: Psychodidae) complex

Toro Toro (T) and Yungas (Y) have been described as genetically well differentiated populations of the Lutzomyia longipalpis (Lutz & Neiva, 1912) complex in Bolivia. Here we use geometric morphometrics to compare samples from these populations and new populations (Bolivia and Nicaragua), representing distant geographical origins, qualitative morphological variation ("one-spot" or "two-spots" phenotypes), ecologically distinct traits (peridomestic and silvatic populations), and possibly different epidemiological roles (transmitting or nor transmitting Leishmania chagasi). The Nicaragua (N) (Somotillo) sample was "one-spot" phenotype and a possible peridomestic vector. The Bolivian sample of the Y was also "one-spot" phenotype and a demonstrated peridomestic vector of visceral leishmaniasis (VL). The three remaining samples were silvatic, "two-spots" phenotypes. Two of them (Uyuni and T) were collected in the highlands of Bolivian where VL never has been reported. The last one (Robore, R) came from the lowlands of Bolivia, where human cases of VL are sporadically reported. The decomposition of metric variation into size and shape by geometric morphometric techniques suggests the existence of two groups (N/Y/R, and U/T). Several arguments indicate that such subdivision of Lu. longipalpis could correspond to different evolutionary units.

Descriptive epidemiology of skin cancer in the Swiss Canton of Vaud.

Incidence registration and survival data for non-melanocytic skin neoplasms and cutaneous melanoma have been abstracted from the population-based system of the Cancer Registry of the Swiss Canton of Vaud, which has been operating in a particularly favourable environment, since the large majority of cutaneous lesions resected in the area are examined by a pathologist. Among the 5,712 cases registered, 66.7% were basal-cell carcinomas, 20.6% squamous-cell cancers, 9.3% cutaneous melanomas and 3.4% other miscellaneous histological types. The distribution by histological type did not differ appreciably in the 2 sexes, but there were marked inter-sex differences as regards anatomical site. In both sexes, head and neck was by far the commonest localization for non-melanomatous neoplasms (69 to 81% of all incident cases), followed by trunk for basal-cell cancers (18% in males, 15% in females) and upper limb for squamous-cell (10% in males, 17% in females). The distribution of skin melanomas differed considerably between the 2 sexes, by far the commonest site being the trunk for males (45% of cases) and lower limbs for females (40%), followed by head and neck (22% in both sexes). Incidence rates for both basal- and squamous-cell cancers increased with age, and rates were higher in males for each localization except the lower limb. In contrast, incidence for melanoma was higher in females, and incidence rates did not increase with age above 55 years for all sites except head and neck. This can be interpreted in terms of cohort effect, since mortality from melanoma has substantially increased in Switzerland across subsequent birth cohorts. Although this study is essentially descriptive, accurate inspection of these data provides some support for the major aetiological hypotheses of skin carcinogenesis, i.e., the observation that the large majority of basal- and squamous-cell cancers arise on the head and neck confirms the importance of long-term ultraviolet exposure; the relative excess of squamous-cell as compared to basal-cell neoplasms on the upper limb may suggest the role of exposure to other (chemical) carcinogens; and the proportional excess of melanomas on the trunk in males and lower limb in females further indicates that intermittent exposure to sunlight is probably the relevant aetiologic factor for melanocytic skin neoplasms.

Missed appointments in an adolescent outpatient clinic : descriptive analyses of consultations over eight years ; et, Missed appointments in an outpatient clinic for adolescents, an approache to predict the risk of missing

Rapport de synthèse: Les rendez-vous manqués représentent un problème important, tant du point de vue de la santé des patients que du point de vue économique. Pourtant peu d'études se sont penchées sur le sujet, particulièrement dans une population d'adolescents. Les buts de cette étude étaient de caractériser les adolescents qui sont à risque de manquer ou d'annuler leurs rendez-vous dans une clinique ambulatoire de santé pour adolescents, de comparer les taux des rendez-vous manqués et annulés entre les différents intervenants et d'estimer l'efficacité d'une politique de taxation des rendez-vous manqués non excusés. Finalement, un modèle multi-niveau markovien a été utilisé afin de prédire le risque de manquer un rendez-vous. Ce modèle tient compte du passé de l'adolescent en matière de rendez-vous manqués et d'autres covariables et permet de grouper les individus ayant un comportement semblable. On peut ensuite prédire pour chaque groupe le risque de manquer ou annuler et les covariables influençant significativement ce risque. Entre 1999 et 2006, 32816 rendez-vous fixés pour 3577 patients âgés de 12 à 20 ans ont été analysés. Le taux de rendez-vous manqués était de 11.8%, alors que 10.9% avaient été annulés. Soixante pour cent des patients n'ont pas manqué un seul de leur rendezvous et 14% en ont manqué plus de 25%. Nous avons pu mettre en évidence plusieurs variables associées de manière statistiquement significative avec les taux de rendez-vous manqués et d'annulations (genre, âge, heure, jour de la semaine, intervenant thérapeutique). Le comportement des filles peut être catégorisé en 2 groupes. Le premier groupe inclut les diagnostiques psychiatriques et de trouble du comportement alimentaire, le risque de manquer dans ce groupe étant faible et associé au fait d'avoir précédemment manqué un rendez-vous et au délai du rendez-vous. Les autres diagnostiques chez les filles sont associés à un second groupe qui montre un risque plus élevé de manquer un rendez-vous et qui est associé à l'intervenant, au fait d'avoir précédemment manqué ou annulé le dernier rendez-vous et au délai du rendez-vous. Les garçons ont tous globalement un comportement similaire concernant les rendez-vous manqués. Le diagnostic au sein de ce groupe influence le risque de manquer, tout comme le fait d'avoir précédemment manqué ou annulé un rendez-vous, le délai du rendez-vous et l'âge du patient. L'introduction de la politique de taxation des rendez-vous non excusés n'a pas montré de différence significative des tàux de rendez-vous manqués, cependant cette mesure a permis une augmentation du taux d'annulations. En conclusion, les taux de présence des adolescents à leurs rendez-vous sont dépendants de facteurs divers. Et, même si les adolescents sont une population à risque concernant les rendez-vous manqués, la majorité d'entre eux ne manquent aucun de leurs rendez-vous, ceci étant vrai pour les deux sexes. Etudier les rendez-vous manqués et les adolescents qui sont à risque de rater leur rendez-vous est un pas nécessaire vers le contrôle de ce phénomène. Par ailleurs, les moyens de contrôle concernant les rendez-vous manqués devraient cibler les patients ayant déjà manqué un rendez-vous. La taxation des rendez-vous manqués permet d'augmenter les rendez-vous annulés, ce qui a l'avantage de permettre de fixer un nouveau rendez-vous et, de ce fait, d'améliorer la continuité des soins.

Missed appointments in an adolescent outpatient clinic: descriptive analyses of consultations over 8 years.

Missed appointments represent an important medical and economical issue. Few studies on the subject are reported in the literature, particularly regarding adolescents. Our aim was to characterize missed and cancelled appointments in a multidisciplinary outpatient clinic for adolescents, to assess the effectiveness of a policy aimed at reducing missed appointments by introducing payment for those missed appointments not cancelled in advance, and to compare the rates between staff and resident physicians. A total of 32,816 consultations (representing 35 patients aged 12-20 years, 82.4% females) between 1999 and 200 were analysed. The missed appointment rate was 11.8% whilst another 10.9% were cancellations. Females cancelled more than males (11.3% vs. 8.4%, AOR 1.31, 99% CI 1.08-1.59), but there was no difference for missed appointments (11.6% vs. 12.3%, AOR 0.88, 99% CI 0.61-1.08). April and June to October (vacation months) were associated with more missed appointments. Globally mornings had higher rates of missed appointments than afternoons (13.6% vs. 11.2%, AOR 1.25, 99% CI 1.11-1.40). There was a slight difference in missed appointment rates between staff physicians and residents (10.4%; 11.8%, AOR 1.20, 99% CI 1.08-1.33). Missed appointment rates before and after the new policy on missed appointments were similar (1999-2003: 11.9%; 2004-2006: 11.6%, AOR 0.96, 99% CI 0.83-1.10). Conversely, cancellation rates increased from 8.4% (1999-2003) to 14.5% (2004-2006) (AOR 1.83, 99% CI 1.63-2.05). Attendance rates among adolescents show variations depending on vacation and school hours. Being attentive to these factors could help prevent missed appointments. Although having to pay for missed appointments does not increase attendance, it increases cancellations with the advantage that the appointment can be rescheduled.

Geometry and physics of catenanes applied to the study of DNA replication.

The concept of ideal geometric configurations was recently applied to the classification and characterization of various knots. Different knots in their ideal form (i.e., the one requiring the shortest length of a constant-diameter tube to form a given knot) were shown to have an overall compactness proportional to the time-averaged compactness of thermally agitated knotted polymers forming corresponding knots. This was useful for predicting the relative speed of electrophoretic migration of different DNA knots. Here we characterize the ideal geometric configurations of catenanes (called links by mathematicians), i.e., closed curves in space that are topologically linked to each other. We demonstrate that the ideal configurations of different catenanes show interrelations very similar to those observed in the ideal configurations of knots. By analyzing literature data on electrophoretic separations of the torus-type of DNA catenanes with increasing complexity, we observed that their electrophoretic migration is roughly proportional to the overall compactness of ideal representations of the corresponding catenanes. This correlation does not apply, however, to electrophoretic migration of certain replication intermediates, believed up to now to represent the simplest torus-type catenanes. We propose, therefore, that freshly replicated circular DNA molecules, in addition to forming regular catenanes, may also form hemicatenanes.

Embolic strokes of undetermined source in the athens stroke registry: a descriptive analysis.

BACKGROUND AND PURPOSE: A new clinical construct termed embolic stroke of undetermined source (ESUS) was recently introduced, but no such population has been described yet. Our aim is to provide a detailed descriptive analysis of an ESUS population derived from a large prospective ischemic stroke registry using the proposed diagnostic criteria. METHODS: The criteria proposed by the Cryptogenic Stroke/ESUS International Working Group were applied to the Athens Stroke Registry to identify all ESUS patients. ESUS was defined as a radiologically confirmed nonlacunar brain infarct in the absence of (a) extracranial or intracranial atherosclerosis causing ≥50% luminal stenosis in arteries supplying the ischemic area, (b) major-risk cardioembolic source, and (c) any other specific cause of stroke. RESULTS: Among 2735 patients admitted between 1992 and 2011, 275 (10.0%) were classified as ESUS. In the majority of ESUS (74.2%), symptoms were maximal at onset. ESUS were of moderate severity (median National Institute Health Stroke Scale score, 5). The most prevalent risk factor was arterial hypertension (64.7%), and 50.9% of patients were dyslipidemic. Among potential causes of the ESUS, covert atrial fibrillation (AF) was the most prevalent: in 30 (10.9%) patients, AF was diagnosed during hospitalization for stroke recurrence, whereas in 50 (18.2%) patients AF was detected after repeated ECG monitoring during follow-up. Also, covert AF was strongly suggested in 38 patients (13.8%) but never recorded. CONCLUSIONS: About 10% of patients with first-ever ischemic stroke met criteria for ESUS; covert paroxysmal AF seems to be a frequent cause of ESUS.