On a generalization of Lie(kk): a CataLAnKe theorem

We define a generalization of the free Lie algebra based on an $n$-ary commutator and call it the free LAnKe. We show that the action of the symmetric group $S_{2n-1}$ on the multilinear component with $2n-1$ generators is given by the representation $S^{2^{n-1}1}$, whose dimension is the $n$th Catalan number. An application involving Specht modules of staircase shape is presented. We also introduce a conjecture that extends the relation between the Whitehouse representation and Lie($k$).Comment: 14 page

Functional Movement Is Negatively Associated with Weight Status and Positively Associated with Physical Activity in British Primary School Children

Although prior studies have suggested that overweight and obesity in childhood are associated with poorer functional movement performance, no study appears to have examined this issue in a pediatric population. The relations between BMI, ambulatory physical activity and functional movement screen (FMS) performance were compared in 58, 10-11-year-old children. Total FMS score was significantly, negatively correlated with BMI (P = .0001) and positively related to PA (P = .029). Normal weight children scored significantly better for total FMS score compared to children classified as overweight/obese (P = .0001). Mean ± S.D. of FMS scores were 15.5 ± 2.2 and 10.6 ± 2.1 in normal weight and overweight/obese children, respectively. BMI and PA were also significant predictors of functional movement (P = .0001, Adjusted R2 = .602) with BMI and PA predicting 52.9% and 7.3% of the variance in total FMS score, respectively. The results of this study highlight that ambulatory physical activity and weight status are significant predictors of functional movement in British children. Scientists and practitioners therefore need to consider interventions which develop functional movement skills alongside physical activity and weight management strategies in children in order to reduce the risks of orthopaedic abnormality arising from suboptimal movement patterns in later life

Seasonal Incidence of Sperm within the Spermathecae of Ouachita Dusky Salamanders (Desmognathus brimleyorum) in Arkansas

We examined 91 adult female Ouachita dusky salamanders {Desmognathus brimleyorum) to determine the seasonal incidence of sperm within spermathecae. The spermatheca (sperm storage gland) along with supporting tissue was removed from the dorsal cloacal wall of each female and prepared for light microscopy. We recorded the reproductive condition of females (diameter of enlarged ovarian follicles =EOF) and found large aggregates of sperm within the spermathecae during all months, except February (no specimens available). The highest incidence of sperm in spermathecae occurred in July specimens (53%; n = 17). Although the known nesting season runs from July into August in this species, the mating season does not appear to be restricted to spring and summer months. Moreover, females in any month with EOF may or may not possess sperm

Action of the Symmetric Group on the Free LAnKe: A CataLAnKe Theorem

We initiate a study of the representation of the symmetric group on the multilinear component of an n-ary generalization of the free Lie algebra, which we call a free LAnKe. Our central result is that the representation of the symmetric group S2n−1 on the multilinear component of the free LAnKe with S2n−1 generators is given by an irreducible representation whose dimension is the nth Catalan number. This leads to a more general result on eigenspaces of a certain linear operator. A decomposition, into irreducibles, of the representation of S3n−2 on the multilinear component the free LAnKe with 3n − 2 generators is also presented. We also obtain a new presentation of Specht modules of shape λ, where λ has strictly decreasing column lengths, as a consequence of our eigenspace result

Analysis of Shroud Options in Support of the Human Exploration of Mars

In support of the Mars Design Reference Architecture (DRA) 5.0, the NASA study team analyzed several shroud options for use on the Ares V launch vehicle.1,2 These shroud options included conventional "large encapsulation" shrouds with outer diameters ranging from 8.4 to 12.9 meters (m) and overall lengths of 22.0 to 54.3 meters, along with a "nosecone-only" shroud option used for Mars transfer vehicle component delivery. Also examined was a "multi-use" aerodynamic encapsulation shroud used for launch, Mars aerocapture, and entry, descent, and landing of the cargo and habitat landers. All conventional shroud options assessed for use on the Mars launch vehicles were the standard biconic design derived from the reference shroud utilized in the Constellation Program s lunar campaign. It is the purpose of this paper to discuss the technical details of each of these shroud options including material properties, structural mass, etc., while also discussing both the volume and mass of the various space transportation and surface system payload elements required to support a "minimum launch" Mars mission strategy, as well as the synergy, potential differences and upgrade paths that may be required between the Lunar and Mars mission shrouds

{N,N-Bis 2-(Diphenylphosphanyl)Ethyl Aniline}(Eta(2)-Dibenzylideneaceton E)Palladium(0)

In the title complex, [Pd(C34H33NP2)(C17H14O)], the Pd-0 atom is coordinated in a trigonal planar geometry formed by two P atoms of a bis[(diphenylphosphino)ethyl] aniline ligand and a C=C (eta(2)) bond involving the C atoms that are in the alpha,beta positions relative to the central ketone of the dibenzylideneacetone ligand.Robert A. Welch Foundation F-1631National Science Foundation CHE-0741973, CHE-0847763Texas Higher Education Coordinating Board 01916-090-2010American Heart Association 0765078YUT-AustinICDDSigma-Xi, the Scientific Research SocietyChemistryBiochemistr

The traveling researchers’ sisterhood: Four female voices from Latin America in a collaborative autoethnography

PurposeThe purpose of this paper is to present a collaborative (auto)ethnography that has emerged from the meeting of four academic researchers working with and from the heart in various Latin American contexts.Design/methodology/approach Our “I’s” have mingled with our very varied participations in different themes, latitudes, and disciplines – health, education and psychosocial approaches. We have worked, variously, in both English and Spanish. At the core of this piece are our own biographies, motivations, senses, academic dreams, international contexts, and the injustices and suffering felt in our bodies.FindingsWe seek to reflect from our experience of traveling as young researchers and as women with Latin souls. Through our stories, we show how crossing cultures as part of our research and work gives us both a privileged position but also the constant stress and questioning that goes beyond the intellectual and appears in our embodied experiences of interculturality.Research limitations/implicationsThe limitation of this piece of research is that it is based on personal experiences, that although there may be people who feel identified with these experiences, these are not generalizable or transferable.Practical implicationsPerformative autoethnography is an instance to understand the world like a crisol with different faces; self, social, cultural and methodology, which allows us to understand the world from a holistic perspective.Social implicationsWith this paper, we hope to contribute for other women in academia to see themselves reflected in the experience of moving through a globalized world.Originality/valueThrough both living in and reflecting on this process, we show how our experiences provide us with new, intercultural “worlds under construction.

Exercising choice and control: A qualitative meta-synthesis of perspectives of people with a spinal cord injury

OBJECTIVE: To systematically search the literature and construct a meta-synthesis of how choice and control are perceived by people with spinal cord injury (SCI). DATA SOURCES: Medline, Academic Search Premier, CINAHL, Cochrane, EMBASE, HealthSource, ProQuest, PsychInfo, SAGE, and SCOPUS were searched from 1980 until September 2018 including all languages. Reference lists of selected studies were also reviewed. STUDY SELECTION: Eligible qualitative studies included perspectives about choice of control as reported by people with an SCI. Studies were excluded if they included perspectives from other stakeholder groups. A total of 6706 studies were screened for title and abstract and full text of 127 studies were reviewed resulting in a final selection of 29. DATA EXTRACTION: Characteristics of the studies were extracted along with any data (author interpretations and quotes) relating to perspectives on choice and control. DATA SYNTHESIS: First-order analysis involved coding the data in each study and second-order analysis involved translating each segment of coded data into broader categories with third-order analysis condensing categories to 2 broad overarching themes. These themes were experiencing vulnerability or security and adapting to bounded abilities. CONCLUSIONS: Perspectives of choice and control are influenced by interrelated environmental, interpersonal, and personal contexts. From a personal perspective, participants reported a readiness for adaptation that included turning points where emotional and cognitive capacity to make choices and take control changed. Health professionals need to be responsive to this readiness, promote empowerment and foster, rather than remove, hope

Coincidence Anticipation Timing Performance during an Acute Bout of Brisk Walking in Older Adults: Effect of Stimulus Speed

This study examined coincidence anticipation timing (CAT) performance at slow and fast stimulus speeds before, during, and after an acute bout of walking in adults aged 60–76 years. Results from a series of repeated measures ANOVAs indicated significant rest versus exercise × stimulus speed × time interactions for absolute and variable errors (both P=0.0001) whereby absolute and variable error scores, when stimulus speed was slow, improved as the duration of exercise increased. When stimulus speed was fast there were significantly greater absolute and variable errors at 18 minutes of the walking bout. There was also greater error at 18 minutes during walking compared to rest. These results suggest that, in a task involving walking and CAT, stimulus speeds plays an important role; specifically walking (exercise) enhances CAT performance at slow stimulus speeds but reduces CAT performance at fast stimulus speeds. The implications are that in everyday situations, where events require dual-task responses to be made at different speeds, for example, walking on the pavement whilst avoiding a crowd, compared to crossing a busy road, an understanding of how different stimulus speeds influence dual-task performance is extremely important, particularly in the older adult population