Bounding right-arm rotation distances

Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to transform one tree to the other. We describe several types of rotation distance, and provide upper bounds on distances between trees with a fixed number of nodes with respect to each type. These bounds are obtained by relating each restricted rotation distance to the word length of elements of Thompson's group F with respect to different generating sets, including both finite and infinite generating sets.

Concurrence (Right Detail)

Combined media on photographic paper. 54" x 71” Private Collection

La formació d'una política exterior per a l'Índia. La visita de Nehru a l'Espanya republicana durant la Guerra Civil

L'objectiu ha estat posar en relació dues realitats que fins al moment havien estat considerades completament alienes, com són l’Índia i Espanya. La recerca de fonts per a les relacions bilaterals de tot tipus es va iniciar al segle XIX. A partir d’aquest moment apareixen tres camps fonamentals on aprofundir. D’una banda tenim les relacions diplomàtiques i la seva vessant política a partir del segle XX. El desenvolupament de representacions consulars té a veure amb el creixement de l’activitat econòmica amb l’Índia britànica, especialment en el camp del proveïment de primeres matèries (cotó i jute). En aquest sentit, la recuperació de les relacions econòmiques va ser clau per al posterior mutu reconeixement diplomàtic el 1957 quan l’Índia ja era un estat independent. Entre mig queden anys de malvolença degut a la vinculació de Nehru amb el govern republicà durant la Guerra Civil i la posició de l’Índia en el cas d’Espanya a l’ONU. Un altre camp d’interès per a les relacions bilaterals es centra en la missió de Bombay que a partir de 1920 fou administrada per jesuïtes catalans, valencians i aragonesos. Finalment, un seguiment de la premsa i la intel•lectualitat espanyola mostra com l’Índia es va convertir a partir de 1920 en un nou focus d’interès informatiu i pel món acadèmic, com no ho havia estat fins llavors. Aquest descobriment de l’Índia per part de viatgers, artistes i periodistes obra una nova via d’intercanvi que es veurà trucada per la Guerra Civil i el posterior establiment d’un règim que destruí el teixit intel•lectual del país.

Portal vein embolization before right hepatectomy: prospective clinical trial.

OBJECTIVE: To assess the impact of liver hypertrophy of the future liver remnant volume (FLR) induced by preoperative portal vein embolization (PVE) on the immediate postoperative complications after a standardized major liver resection. SUMMARY BACKGROUND DATA: PVE is usually indicated when FLR is estimated to be too small for major liver resection. However, few data exist regarding the exact quantification of sufficient minimal functional hepatic volume required to avoid postoperative complications in both patients with or without chronic liver disease. METHODS: All consecutive patients in whom an elective right hepatectomy was feasible and who fulfilled the inclusion and exclusion criteria between 1998 and 2000 were assigned to have alternatively either immediate surgery or surgery after PVE. Among 55 patients (25 liver metastases, 2 cholangiocarcinoma, and 28 hepatocellular carcinoma), 28 underwent right hepatectomy after PVE and 27 underwent immediate surgery. Twenty-eight patients had chronic liver disease. FLR and estimated rate of functional future liver remnant (%FFLR) volumes were assessed by computed tomography. RESULTS: The mean increase of FLR and %FFLR 4 to 8 weeks after PVE were respectively 44 +/- 19% and 16 +/- 7% for patients with normal liver and 35 +/- 28% and 9 +/- 3% for those with chronic liver disease. All patients with normal liver and 86% with chronic liver disease experienced hypertrophy after PVE. The postoperative course of patients with normal liver who underwent PVE before right hepatectomy was similar to those with immediate surgery. In contrast, PVE in patients with chronic liver disease significantly decreased the incidence of postoperative complications as well as the intensive care unit stay and total hospital stay after right hepatectomy. CONCLUSIONS: Before elective right hepatectomy, the hypertrophy of FLR induced by PVE had no beneficial effect on the postoperative course in patients with normal liver. In contrast, in patients with chronic liver disease, the hypertrophy of the FLR induced by PVE decreased significantly the rate of postoperative complications.

El Derecho norteamericano como impulsor de la responsabilidad civil del fabricante por productos defectuosos

Investigación elaborada a partir de una estancia en la Columbia Law School of New York, Estados Unidos, entre los meses de septiembre y noviembre del 2006. El Derecho comunitario europeo y español regulan la reparación de los daños causados por el uso o la proximidad de un producto defectuoso mediante gracias al impulso ideológico ejercido por la jurisprudencia norteamericana. El principio de responsabilidad objetiva rector de la directiva europea es fruto de un transfondo operado en los Estados Unidos en los años sesenta, coincidiendo con la revolución tecnològica y el inicio de la producción y del consumo masivos. Tales fenómenos suscitaron la búsqueda de mecanismos jurídicos aptos para canalizar la reparación de los daños inherentes a las actividades industriales tecnológicamente avanzadas. Su principal efecto fue la preocupación por una más justa distribución social de los llamados “costes del progreso”, preocupación que, jurídicamente, desembocó en la solución de la responsabilidad aun sin culpa del fabricante por los daños derivados de su producción industrial. El mérito de tal solución corresponde a determinados teóricos norteamericanos de la responsabilidad empresarial, quienes, inspirándose en ideas formuladas a inicios del siglo XX por los especialistas en Derecho laboral, concluyeron que es la empresa productora quien está en mejor situación de soportar el coste del accidente industrial: al imponerse al fabricante una responsabildad desvinculada de su eventual culpa en la causación del accidente, repercutirá en el precio de sus productos el coste del seguro de responsabilidad civil que se verá abocado a contratar para hacer frente a su responsabilidad objetiva o por riesgo, de manera que el coste de los accidentes acabará siendo soportado por el público consumidor al pagar el sobreprecio de los productos que adquiere. Las repercusiones de tal construcción han sido tanto normativas como judiciales.

The role of the right parietal cortex in sound localization: a chronometric single pulse transcranial magnetic stimulation study.

Auditory spatial functions, including the ability to discriminate between the positions of nearby sound sources, are subserved by a large temporo-parieto-frontal network. With the aim of determining whether and when the parietal contribution is critical for auditory spatial discrimination, we applied single pulse transcranial magnetic stimulation on the right parietal cortex 20, 80, 90 and 150 ms post-stimulus onset while participants completed a two-alternative forced choice auditory spatial discrimination task in the left or right hemispace. Our results reveal that transient TMS disruption of right parietal activity impairs spatial discrimination when applied at 20 ms post-stimulus onset for sounds presented in the left (controlateral) hemispace and at 80 ms for sounds presented in the right hemispace. We interpret our finding in terms of a critical role for controlateral temporo-parietal cortices over initial stages of the building-up of auditory spatial representation and for a right hemispheric specialization in integrating the whole auditory space over subsequent, higher-order processing stages.

Eye Care Service in Scotland: Did the Scots Get it Right?

In March 2004, the Scottish government announced a review of eye care services in Scotland, which culminated in the introduction of free eye examinations from 1st April 2006. This free eye examination is not just a sight test; it is a thorough examination to check the health of the patient’s eyes and to look for signs of other health problems. The Scottish government commissioned private ophthalmic optician practices to perform these eye examinations. Consequently, since April 2006 individuals in Scotland could walk into any high street optometry practice and get a ‘free’ eye examination funded under the NHS.

‘Right Back Where We Started From’: From ‘The Classics’ To Keynes, And Back Again

The purpose of this paper is to highlight the curiously circular course followed by mainstream macroeconomic thinking in recent times. Having broken from classical orthodoxy in the late 1930s via Keynes’s General Theory, over the last three or four decades the mainstream conventional wisdom, regressing rather than progressing, has now come to embrace a conception of the working of the macroeconomy which is again of a classical, essentially pre-Keynesian, character. At the core of the analysis presented in the typical contemporary macro textbook is the (neo)classical model of the labour market, which represents employment as determined (given conditions of productivity) by the terms of labour supply. While it is allowed that changes in aggregate demand may temporarily affect output and employment, the contention is that in due course employment will automatically return to its ‘natural’ (full employment) level. Unemployment is therefore identified as a merely frictional or voluntary phenomenon: involuntary unemployment - in other words persisting demand-deficient unemployment - is entirely absent from the picture. Variations in aggregate demand are understood to have a lasting impact only on the price level, not on output and employment. This in effect amounts to a return to a Pigouvian conception such as targeted by Keynes in the General Theory. We take the view that this reversion to ideas which should by now be obsolete reflects not the discovery of logical or empirical deficiencies in the Keynes analysis, but results rather from doctrinaire blindness and failure of scholarship on account of which essential features of the Keynes theory have been overlooked or misrepresented. There is an urgent need for a critical appraisal of the current conventional macroeconomic wisdom.

Picking the Right Budget Constraint for Scotland

This position paper considers the devolution of further fiscal powers to the Scottish Parliament in the context of the objectives and remit of the Smith Commission. The argument builds on our discussion of fiscal decentralization made in our previous published work on this topic. We ask what sort of budget constraint the Scottish Parliament should operate with. A soft budget constraint (SBC) allows the Scottish Parliament to spend without having to consider all of the tax and, therefore, political consequences, of that spending, which is effectively the position at the moment. The incentives to promote economic growth through fiscal policy – on both the tax and spending sides are weak to non-existent. This is what the Scotland Act, 1998, and the continuing use of the Barnett block grant, gave Scotland. Now other budget constraints are being discussed – those of the Calman Commission (2009) and the Scotland Act (2012), as well as the ones offered in 2014 by the various political parties – Scottish Conservatives, Scottish Greens, Scottish Labour, the Scottish Liberal Democrats and the Scottish Government. There is also the budget constraint designed by the Holtham Commission (2010) for Wales that could just as well be used in Scotland. We examine to what extent these offer the hard budget constraint (HBC) that would bring tax policy firmly into the realm of Scottish politics, asking the Scottish electorate and Parliament to consider the costs to them of increasing spending in terms of higher taxes; or the benefits to them of using public spending to grow the tax base and own-sourced taxes? The hardest budget constraint of all is offered by independence but, as is now known, a clear majority of those who voted in the referendum did not vote for this form of budget constraint. Rather they voted for a significant further devolution of fiscal powers while remaining within a political and monetary union with the rest of the UK, with the risk pooling and revenue sharing that this implies. It is not surprising therefore that none of the budget constraints on offer, apart from the SNP’s, come close to the HBC of independence. However, the almost 25% fall in the price of oil since the referendum, a resource stream so central to the SNP’s economic policy making, underscores why there is a need for a trade off between a HBC and risk pooling and revenue sharing. Ranked according to the desirable characteristic of offering something approaching a HBC the least desirable are those of the Calman Commission, the Scotland Act, 2012, and Scottish Labour. In all of these the ‘elasticity’ of the block grant in the face of failure to grow the Scottish tax base is either not defined or is very elastic – meaning that the risk of failure is shuffled off to taxpayers outside of Scotland. The degree of HBC in the Scottish Conservative, Scottish Greens and Scottish Liberal Democrats proposals are much more desirable from an economic growth point of view, the latter even embracing the HBC proposed by the Holtham Commission that combines serious tax policy with welfare support in the long-run. We judge that the budget constraint in the SNP’s proposals is too hard as it does not allow for continuation of the ‘welfare union’ in the UK. We also consider that in the case of a generalized UK economic slow requiring a fiscal stimulus that the Scottish Parliament be allowed increased borrowing to be repaid in the next economic upturn.

Acute aphasia after right hemisphere stroke

Abstract Right hemispheric stroke aphasia (RHSA) rarely occurs in right- or left-handed patients with their language representation in right hemisphere (RH). For right-handers, the term crossed aphasia is used. Single cases, multiple cases reports, and reviews suggest more variable anatomo-clinical correlations. We included retrospectively from our stroke data bank 16 patients (right- and left-handed, and ambidextrous) with aphasia after a single first-ever ischemic RH stroke. A control group was composed of 25 successive patients with left hemispheric stroke and aphasia (LHSA). For each patient, we analyzed four modalities of language (spontaneous fluency, naming, repetition, and comprehension) and recorded eventual impairment: (1) on admission (hyperacute) and (2) between day 3 and 14 (acute). Lesion volume and location as measured on computed tomography (CT) and magnetic resonance imaging (MRI) were transformed into Talairach stereotaxic space. Nonparametric statistics were used to compare impaired/nonimpaired patients. Comprehension and repetition were less frequently impaired after RHSA (respectively, 56% and 50%) than after LHSA (respectively, 84% and 80%, P = 0.05 and 0.04) only at hyperacute phase. Among RHSA, fewer left-handers/ambidextrous than right-handers had comprehension disorders at second evaluation (P = 0.013). Mean infarct size was similar in RHSA and LHSA with less posterior RHSA lesions (caudal to the posterior commissure). Comprehension and repetition impairments were more often associated with anterior lesions in RHSA (Fisher's exact test, P < 0.05). Despite the small size of the cohort, our findings suggest increased atypical anatomo-functional correlations of RH language representation, particularly in non-right-handed patients. Rapport de synthèse : Des aphasies secondaires à un accident vasculaire ischémique cérébral (AVC) hémisphérique droit sont rarement rencontrées chez des patients droitiers ou gauchers avec une représentation du langage dans l'hémisphère droit. Chez les droitiers, on parle d'aphasie croisée. Plusieurs études sur le sujet ont suggéré des corrélations anatomocliniques plus variables. Dans notre étude, nous avons inclus rétrospectivement, à partir d'une base de données de patients avec un AVC, seize patients (droitiers, gauchers et ambidextres) souffrant d'une aphasie suite à un premier et unique AVC ischémique hémisphérique droit. Un groupe contrôle est composé de vingt-cinq patients successifs avec une aphasie suite à un AVC ischémique hémisphérique gauche. Pour chaque patient, nous avons analysé quatre modalités de langage, à savoir la fluence spontanée, la dénomination, la répétition et la compréhension et leur éventuelle atteinte à deux moments distincts : 1) à l'admission (phase hyperaiguë) et 2) entre le 3e et le 14e jour (phase aiguë). Le volume et la localisation de la lésion mesurés, soit sur un CT-scanner soit sur une imagerie par résonance magnétique cérébrale, ont été analysés à l'aide de l'échelle stéréotaxique de Talairach. Des statistiques non paramétriques ont été utilisées pour comparer les patients atteints et non atteints. . La compréhension et la répétition étaient moins souvent atteintes, seulement en phase hyperaiguë, après une aphasie suite à un AVC hémisphérique droit (resp. 56% et 50%) plutôt que gauche (resp. 84 % et 80%, p= 0.05 et 0.04). Parmi les aphasies suite à un AVC ischémique hémisphérique droit, moins de gauchers et d'ambidextres que de droitiers avaient des troubles de la compréhension lors de la seconde évaluation (p=0.013}. La .taille moyenne de la zone infarcie était semblable entre les aphasies droites et gauches, avec moins de lésions postérieures (caudale à la commissure postérieure) lors des aphasies droites. Les troubles de la répétition et de la compréhension étaient plus souvent associés à des lésions antérieures lors d'aphasie droite. (Fischer's exact test, p>0.05). Malgré la petite taille de notre cohorte de patients, ces résultats suggèrent une augmentation des corrélations anatomocliniques atypiques lors d'une représentation du langage dans l'hémisphère droit, surtout chez les patients non droitiers.