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

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.

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.

"How I Do It"-Radical Right Colectomy with Side-to-Side Stapled Ileo-Colonic Anastomosis.

BACKGROUND AND OBJECTIVE: Standardization of surgical technique helps to reproduce excellent clinical outcomes, especially in teaching institutions. We aim to describe in detail our established approach for oncological right colectomy. TECHNIQUE: The right colon is mobilized in a five-step latero-inferior approach starting off with (1) the terminal ileum, visualizing the duodenum and the head of pancreas. (2) The ascending colon is dissected from the retroperitoneum, and takedown of the hepatic flexure is completed coming retrograde from the transverse colon (3). (4) Transection of the remaining retroperitoneal attachments completes exposure of the duodenum and mobilization of the right colon. (5) Ileocolic vessels are dissected out and divided close to their origin, and the mesocolon is divided. We then establish intestinal continuity by use of a side-to-side stapled technique. (1) The arms of a linear cutting stapler are inserted via transverse incisions at the anti-mesenteric sides of the terminal ileum and the transverse colon (tenia) and fired. (2) The enterotomy site is closed by removal of the specimen using a second transverse firing of the linear cutting stapler. An important final step is the (3) reinforcement of the anastomotic ends and the crossing of the staple lines; an omental patch and closure of the mesenteric window are optional. CONCLUSION: The suggested standardized five-step lateral-to-medial dissection of the right colon and the three-step side-to-side stapled technique for ileo-colonic anastomosis are easy to learn and to reproduce. Careful adherence to pivotal technical details will help to obtain an optimal oncological outcome and a consistently low leak rate around 2 %.

Unusual calcification of the right kidney.

For economic reasons, the tendency in western communities is to simplify the investigations for a given pathology. This case is typically the one where some more money has to be invested to achieve the correct diagnosis.