The Morse-Sard theorem revisited

Let $n, m, k$ be positive integers with $k=n-m+1$. We establish an abstract Morse-Sard-type theorem which allows us to deduce, on the one hand, a previous result of De Pascale's for Sobolev $W^{k,p}_{\textrm{loc}}(\mathbb{R}^n, \mathbb{R}^m)$ functions with $p>n$ and, on the other hand, also the following new result: if $f\in C^{k-1}(\mathbb{R}^n, \mathbb{R}^m)$ satisfies $$\limsup_{h\to 0}\frac{|D^{k-1}f(x+h)-D^{k-1}f(x)|}{|h|}<\infty$$ for every $x\in\mathbb{R}^n$ (that is, $D^{k-1}f$ is a Stepanov function), then the set of critical values of $f$ is Lebesgue-null in $\mathbb{R}^m$. In the case that $m=1$ we also show that this limiting condition holding for every $x\in\mathbb{R}^n\setminus\mathcal{N}$, where $\mathcal{N}$ is a set of zero $(n-2+\alpha)$-dimensional Hausdorff measure for some $0<\alpha<1$, is sufficient to guarantee the same conclusion.Comment: We corrected some misprints and made some changes in the introductio

Oasification: la solución forestal a muchos problemas de desertificación

Desertification is a widespread process worldwide, particularly acute on deforested sloping lands under arid, semiarid or dry sub-humid conditions. To counteract this environmental threat, we have opted for an approach promoting the opposite process, which has been termed oasification. It entails the building of small earth structures to collect and infiltrate as much precipitation and runoff as possible by modifying a slope’s physiography in a convenient and non-aggressive manner. As a result, better soil moisture conditions will prevail and the chances of the establishment and growth of woody vegetation will be markedly improved, thus redressing the dangerous process of desertification. Since ancient times, many water harvesting strategies (microcatchments, ridging, terracing, etc.) have been successfully employed to check, collect and infiltrate surface runoff in those regions of the world where precipitation is scarce. All these structures can be currently designed according to enlightened hydrologic criteria based on sound knowledge of water economy, water requirements, soil erosion, building costs and landscape impacts. These criteria should help land managers and technicians in deciding the appropriate planting densities and micropond sizes that will yield the best seedling survival rates with minimal disturbance to the original physiography of the slope.La desertificaci&oacute;n es un proceso muy frecuente en laderas deforestadas bajo clima &aacute;rido, semi&aacute;rido o seco subh&uacute;medo. Frente a este problema se apuesta por el proceso contrario, es decir, la oasificaci&oacute;n. Se trata de dotar a la ladera de unas peque&ntilde;as estructuras de tierra que recojan e infiltren la escorrent&iacute;a, modificando levemente su fisiograf&iacute;a. De esta forma se consigue mejorar las condiciones de humedad del suelo y se posibilita el desarrollo de una vegetaci&oacute;n forestal, invirti&eacute;ndose el temido proceso de desertificaci&oacute;n. Las estructuras que consiguen frenar, captar e infiltrar la escorrent&iacute;a (por ejemplo: microcuencas, aterrazados o acaballonados), y que act&uacute;an como trampas de suelo y nutrientes a su vez, deben dise&ntilde;arse con unos criterios adecuados y basados en la econom&iacute;a del agua, para evitar impactos ambientales excesivos y el incremento innecesario de los costes de ejecuci&oacute;n. Estos criterios sirven para orientar al t&eacute;cnico encargado de la restauraci&oacute;n sobre el tama&ntilde;o de los alcorques a realizar, con vistas a aumentar la supervivencia del repoblado reduciendo la alteraci&oacute;n del microrrelieve a lo m&iacute;nimo indispensable

Fine grained pointing recognition for natural drone guidance

Human action recognition systems are typically focused on identifying different actions, rather than fine grained variations of the same action. This work explores strategies to identify different pointing directions in order to build a natural interaction system to guide autonomous systems such as drones. Commanding a drone with hand-held panels or tablets is common practice but intuitive user-drone interfaces might have significant benefits. The system proposed in this work just requires the user to provide occasional high-level navigation commands by pointing the drone towards the desired motion direction. Due to the lack of data on these settings, we present a new benchmarking video dataset to validate our framework and facilitate future research on the area. Our results show good accuracy for pointing direction recognition, while running at interactive rates and exhibiting robustness to variability in user appearance, viewpoint, camera distance and scenery

Epidemiology of fractures in Armenia: development of a country-specific FRAX model and comparison to its surrogate

Summary: Fracture probabilities derived from the surrogate FRAX model for Armenia were compared to those from the model based on regional estimates of the incidence of hip fracture. Disparities between the surrogate and authentic FRAX models indicate the importance of developing country-specific FRAX models. Despite large differences between models, differences in the rank order of fracture probabilities were minimal. Objective: Armenia has relied on a surrogate FRAX model based on the fracture epidemiology of Romania. This paper describes the epidemiology of fragility fractures in Armenia used to create an Armenia-specific FRAX model with an aim of comparing this new model with the surrogate model. Methods: We carried out a population-based study in two regions of Armenia (Ararat and Vayots Dzor representing approximately 11% of the country’s population). We aimed to identify all low-energy fractures: retrospectively from hospital registers in 2011–2012 and prospectively in 2013 with the inclusion of primary care sources. Results: The differences in incidence between the surveys with and without data from primary care suggested that 44% of patients sustaining a hip fracture did not receive specialized medical care. A similar proportion of forearm and humeral fractures did not come to hospital attention (48 and 49%, respectively). Only 57.7% of patients sustaining a hip fracture were hospitalized. In 2013, hip fracture incidence at the age of 50 years or more was 201/100,000 for women and 136/100,000 for men, and age- and sex-specific rates were incorporated into the new “authentic” FRAX model for Armenia. Compared to the surrogate model, the authentic model gave lower 10-year fracture probabilities in men and women aged less than 70 years but substantially higher above this age. Notwithstanding, there were very close correlations in fracture probabilities between the surrogate and authentic models ( >  0.99) so that the revisions had little impact on the rank order of risk. Conclusion: A substantial proportion of major osteoporotic fractures in Armenia do not come to hospital attention. The disparities between surrogate and authentic FRAX models indicate the importance of developing country-specific FRAX models. Despite large differences between models, differences in the rank order of fracture probabilities were minimal

SEDIGISM: Structure, excitation, and dynamics of the inner Galactic interstellar medium

The origin and life-cycle of molecular clouds are still poorly constrained, despite their importance for understanding the evolution of the interstellar medium. Many large-scale surveys of the Galactic plane have been conducted recently, allowing for rapid progress in this field. Nevertheless, a sub-arcminute resolution global view of the large-scale distribution of molecular gas, from the diffuse medium to dense clouds and clumps, and of their relationshipto the spiral structure, is still missing. Aims. We have carried out a systematic, homogeneous, spectroscopic survey of the inner Galactic plane, in order to complement the many continuum Galactic surveys available with crucial distance and gas-kinematic information. Our aim is to combine this data set with recent infrared to sub-millimetre surveys at similar angular resolutions. © 2017 ESO

Combined homogeneous and heterogeneous hydrogenation to yield catalyst-free solutions of parahydrogen-hyperpolarized [1-13C]succinate

We show that catalyst-free aqueous solutions of hyperpolarized [1-13C]succinate can be produced using parahydrogen-induced polarization (PHIP) and a combination of homogeneous and heterogeneous catalytic hydrogenation reactions. We generate hyperpolarized [1-13C]fumarate via PHIP using para-enriched hydrogen gas with a homogeneous ruthenium catalyst, and subsequently remove the toxic catalyst and reaction side products via a purification procedure. Following this, we perform a second hydrogenation reaction using normal hydrogen gas to convert the fumarate into succinate using a solid Pd/Al2O3 catalyst. This inexpensive polarization protocol has a turnover time of a few minutes, and represents a major advance for in vivo applications of [1-13C]succinate as a hyperpolarized contrast agent

Delocalisation patterns in University-Industry interaction: Evidence from the 6th R&D Framework Programme

Increasing university-industry interaction (UII) and university contribution to the local economy are compatibleconventional wisdom would say. However, similar to other university activities, interaction with industry may be limited due to a lack of absorptive capacity in local firms. The data of those participating in the European Union's (EU's) Sixth R&D Framework Programme (FP6) were used to obtain values for the number and, notably, the budgets of UII projects at the regional level for the EU27. Two types of interactions were considered: inside and outside the region. Our analysis indicates that universities from regions whose firms have low absorptive capacity participate more often in FP6 projects with firms outside the region. Our results highlight the value of policies that facilitate firm R&D to enhance collaboration with regional universities.Azagra Caro, JM.; Pontikakis, D.; Varga, A. (2013). Delocalisation patterns in University-Industry interaction: Evidence from the 6th R&D Framework Programme. European Planning Studies. 21(10):1676-1701. doi:10.1080/09654313.2012.722949S16761701211

Gut Health-Promoting Benefits of a Dietary Supplement of Vitamins with Inulin and Acacia Fibers in Rats

The study's objective was to ascertain whether a nutritional multivitamin and mineral supplement enriched with two different dietary fibers influences microbiota composition, mineral absorption, and some immune and metabolic biomarkers in adult rats. Nine-week-old Wistar rats were randomly assigned into four groups: the reference group; the group receiving a daily supplement based on a food matrix with proteins, vitamins, and minerals; and two other groups receiving this supplement enriched with inulin (V + I) or acacia (V + A) fiber for four weeks. Microbiota composition was determined in cecal content and mineral content in fecal, blood, and femur samples. Intestinal IgA concentration, hematological, and biochemical variables were evaluated. Both V + I and V + A supplementations increased Firmicutes and Actinobacteria phyla, which were associated with a higher presence of Lactobacillus and Bifidobacterium spp. V + A supplementation increased calcium, magnesium, phosphorus, and zinc concentrations in femur. V + I supplementation increased the fecal IgA content and reduced plasma total cholesterol and uric acid concentration. Both fiber-enriched supplements tested herein seem to be beneficial to gut-health, although differently