On Pythagoras' theorem for products of spectral triples

We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product of commutative spectral triples. We investigate the generalization to both non pure states and arbitrary spectral triples. We show that Pythagoras theorem is replaced by some Pythagoras inequalities, that we prove for the product of arbitrary (i.e. non-necessarily commutative) spectral triples, assuming only some unitality condition. We show that these inequalities are optimal, and provide non-unital counter-examples inspired by K-homology.Comment: Paper slightly shortened to match the published version; Lett. Math. Phys. 201

Teaching mathematics for search using a tutorial style of delivery

Understanding of mathematics is needed to underpin the process of search, either explicitly with Exact Match (Boolean logic, adjacency) or implicitly with Best match natural language search. In this paper we outline some pedagogical challenges in teaching mathematics for information retrieval (IR) to postgraduate information science students. The aim is to take these challenges either found by experience or in the literature, to identify both theoretical and practical ideas in order to improve the delivery of the material and positively affect the learning of the target audience by using a tutorial style of teaching. Results show that there is evidence to support the notion that a more pro-active style of teaching using tutorials yield benefits both in terms of assessment results and student satisfaction

Mometasone/Indacaterol/Glycopyrronium (MF/IND/GLY) and MF/IND at Different MF Strengths versus Fluticasone Propionate/ Salmeterol Xinafoate (FLU/SAL) and FLU/SAL+ Tiotropium in Patients with Asthma

Background: Once-daily, single-inhaler mometasone furoate/indacaterol acetate/glycopyrronium bromide (MF/IND/GLY, an ICS/ LABA/LAMA) and MF/IND (an ICS/LABA) via Breezhaler® have been approved for the maintenance treatment of patients with asthma inadequately controlled with medium-or high-dose ICS or medium-or high-dose ICS/LABA treatment. Objective: Once-daily (o.d.) formulations of MF/IND/GLY and MF/IND at different MF dose strengths have been compared with twice-daily (b.i.d.) fluticasone propionate/salmeterol xinafoate (FLU/SAL), and b.i.d. FLU/SAL+ o.d. tiotropium (TIO) in the PALLADIUM, IRIDIUM and ARGON studies. Methods: The similarity in study design and consistent outcomes in these studies prompted the pooling of data in this review to better characterise these novel once-daily controller formulations. Results: Pooled data from PALLADIUM and IRIDIUM studies showed comparable or greater efficacy with o.d. MF/IND formulations versus b.i.d. FLU/SAL. The o.d. MF/IND/GLY was superior to b.i.d. FLU/SAL in the IRIDIUM study, and similar to, if not more efficacious than b.i.d. FLU/SAL + o.d. TIO in the ARGON study. Conclusion: These formulations therefore provide novel once-daily treatment options for patients across asthma severity and flexibility for clinicians to step-up or step-down the treatment using the same device and formulations.</p

Prospects in Constraining the Dark Energy Potential

We generalize to non-flat geometries the formalism of Simon et al. (2005) to reconstruct the dark energy potential. This formalism makes use of quantities similar to the Horizon-flow parameters in inflation, can, in principle, be made non-parametric and is general enough to be applied outside the simple, single scalar field quintessence. Since presently available and forthcoming data do not allow a non-parametric and exact reconstruction of the potential, we consider a general parametric description in term of Chebyshev polynomials. We then consider present and future measurements of H(z), Baryon Acoustic Oscillations surveys and Supernovae type 1A surveys, and investigate their constraints on the dark energy potential. We find that, relaxing the flatness assumption increases the errors on the reconstructed dark energy evolution but does not open up significant degeneracies, provided that a modest prior on geometry is imposed. Direct measurements of H(z), such as those provided by BAO surveys, are crucially important to constrain the evolution of the dark energy potential and the dark energy equation of state, especially for non-trivial deviations from the standard LambdaCDM model.Comment: 22 pages, 7 figures. 2 references correcte

Mometasone/Indacaterol/Glycopyrronium (MF/IND/GLY) and MF/IND at Different MF Strengths versus Fluticasone Propionate/ Salmeterol Xinafoate (FLU/SAL) and FLU/SAL+ Tiotropium in Patients with Asthma

Background: Once-daily, single-inhaler mometasone furoate/indacaterol acetate/glycopyrronium bromide (MF/IND/GLY, an ICS/ LABA/LAMA) and MF/IND (an ICS/LABA) via Breezhaler® have been approved for the maintenance treatment of patients with asthma inadequately controlled with medium-or high-dose ICS or medium-or high-dose ICS/LABA treatment. Objective: Once-daily (o.d.) formulations of MF/IND/GLY and MF/IND at different MF dose strengths have been compared with twice-daily (b.i.d.) fluticasone propionate/salmeterol xinafoate (FLU/SAL), and b.i.d. FLU/SAL+ o.d. tiotropium (TIO) in the PALLADIUM, IRIDIUM and ARGON studies. Methods: The similarity in study design and consistent outcomes in these studies prompted the pooling of data in this review to better characterise these novel once-daily controller formulations. Results: Pooled data from PALLADIUM and IRIDIUM studies showed comparable or greater efficacy with o.d. MF/IND formulations versus b.i.d. FLU/SAL. The o.d. MF/IND/GLY was superior to b.i.d. FLU/SAL in the IRIDIUM study, and similar to, if not more efficacious than b.i.d. FLU/SAL + o.d. TIO in the ARGON study. Conclusion: These formulations therefore provide novel once-daily treatment options for patients across asthma severity and flexibility for clinicians to step-up or step-down the treatment using the same device and formulations.</p

Mometasone/Indacaterol/Glycopyrronium (MF/IND/GLY) and MF/IND at Different MF Strengths versus Fluticasone Propionate/ Salmeterol Xinafoate (FLU/SAL) and FLU/SAL+ Tiotropium in Patients with Asthma

Background: Once-daily, single-inhaler mometasone furoate/indacaterol acetate/glycopyrronium bromide (MF/IND/GLY, an ICS/ LABA/LAMA) and MF/IND (an ICS/LABA) via Breezhaler® have been approved for the maintenance treatment of patients with asthma inadequately controlled with medium-or high-dose ICS or medium-or high-dose ICS/LABA treatment. Objective: Once-daily (o.d.) formulations of MF/IND/GLY and MF/IND at different MF dose strengths have been compared with twice-daily (b.i.d.) fluticasone propionate/salmeterol xinafoate (FLU/SAL), and b.i.d. FLU/SAL+ o.d. tiotropium (TIO) in the PALLADIUM, IRIDIUM and ARGON studies. Methods: The similarity in study design and consistent outcomes in these studies prompted the pooling of data in this review to better characterise these novel once-daily controller formulations. Results: Pooled data from PALLADIUM and IRIDIUM studies showed comparable or greater efficacy with o.d. MF/IND formulations versus b.i.d. FLU/SAL. The o.d. MF/IND/GLY was superior to b.i.d. FLU/SAL in the IRIDIUM study, and similar to, if not more efficacious than b.i.d. FLU/SAL + o.d. TIO in the ARGON study. Conclusion: These formulations therefore provide novel once-daily treatment options for patients across asthma severity and flexibility for clinicians to step-up or step-down the treatment using the same device and formulations.</p

Mometasone/Indacaterol/Glycopyrronium (MF/IND/GLY) and MF/IND at Different MF Strengths versus Fluticasone Propionate/ Salmeterol Xinafoate (FLU/SAL) and FLU/SAL+ Tiotropium in Patients with Asthma

Background: Once-daily, single-inhaler mometasone furoate/indacaterol acetate/glycopyrronium bromide (MF/IND/GLY, an ICS/ LABA/LAMA) and MF/IND (an ICS/LABA) via Breezhaler® have been approved for the maintenance treatment of patients with asthma inadequately controlled with medium-or high-dose ICS or medium-or high-dose ICS/LABA treatment. Objective: Once-daily (o.d.) formulations of MF/IND/GLY and MF/IND at different MF dose strengths have been compared with twice-daily (b.i.d.) fluticasone propionate/salmeterol xinafoate (FLU/SAL), and b.i.d. FLU/SAL+ o.d. tiotropium (TIO) in the PALLADIUM, IRIDIUM and ARGON studies. Methods: The similarity in study design and consistent outcomes in these studies prompted the pooling of data in this review to better characterise these novel once-daily controller formulations. Results: Pooled data from PALLADIUM and IRIDIUM studies showed comparable or greater efficacy with o.d. MF/IND formulations versus b.i.d. FLU/SAL. The o.d. MF/IND/GLY was superior to b.i.d. FLU/SAL in the IRIDIUM study, and similar to, if not more efficacious than b.i.d. FLU/SAL + o.d. TIO in the ARGON study. Conclusion: These formulations therefore provide novel once-daily treatment options for patients across asthma severity and flexibility for clinicians to step-up or step-down the treatment using the same device and formulations.</p

Real-time traffic event detection using Twitter data

Incident detection is an important component of intelligent transport systems and plays a key role in urban traffic management and provision of traveller information services. Due to its importance, a wide number of researchers have developed different algorithms for real-time incident detection. However, the main limitation of existing techniques is that they do not work well in conditions where random factors could influence traffic flows. Twitter is a valuable source of information as its users post events as they happen or shortly after. Therefore, Twitter data have been used to predict a wide variety of real-time outcomes. This paper aims to present a methodology for a real-time traffic event detection using Twitter. Tweets are obtained through the Twitter streaming application programming interface in real time with a geolocation filter. Then, the author used natural language processing techniques to process the tweets before they are fed into a text classification algorithm that identifies if it is traffic related or not. The authors implemented their methodology in the West Midlands region in the UK and obtained an overall accuracy of 92·86%

Personal identity (de)formation among lifestyle travellers: A double-edged sword?

This article explores the personal identity work of lifestyle travellers – individuals for whom extended leisure travel is a preferred lifestyle that they return to repeatedly. Qualitative findings from in-depth semi-structured interviews with lifestyle travellers in northern India and southern Thailand are interpreted in light of theories on identity formation in late modernity that position identity as problematic. It is suggested that extended leisure travel can provide exposure to varied cultural praxes that may contribute to a sense of social saturation. Whilst a minority of the respondents embraced a saturation of personal identity in the subjective formation of a cosmopolitan cultural identity, several of the respondents were paradoxically left with more identity questions than answers as the result of their travels