Miracle-dz/UniFAR-FTUs huggingface dataset:
ERRATIC JET WOBBLING IN THE BL LACERTAE OBJECT OJ287 REVEALED BY SIXTEEN YEARS OF 7 mm VLBA OBSERVATIONS

We present the results from an ultra-high-resolution 7 mm Very Long Baseline Array study of the relativistic jet in the BL Lacertae object OJ287 from 1995 to 2011 containing 136 total intensity images. Analysis of the image sequence reveals a sharp jet-position-angle swing by >100° during [2004,2006], as viewed in the plane of the sky, which we interpret as the crossing of the jet from one side of the line of sight to the other during a softer- and longer-term swing of the inner jet. Modulating such long-term swing, our images also show for the first time a prominent erratic wobbling behavior of the innermost ∼0.4 mas of the jet with fluctuations in position angle of up to ∼40° over timescales ∼2 yr. This is accompanied by highly superluminal motions along non-radial trajectories, which reflect the remarkable non-ballistic nature of the jet plasma on these scales. The erratic nature and short timescales of the observed behavior rule out scenarios such as binary black hole systems, accretion disk precession, and interaction with the ambient medium as possible origins of the phenomenon on the scales probed by our observations, although such processes may cause longer-term modulation of the jet direction. We propose that variable asymmetric injection of the jet flow, perhaps related to turbulence in the accretion disk, coupled with hydrodynamic instabilities leads to the non-ballistic dynamics that causes the observed non-periodic changes in the direction of the inner jet.
Weak nonlinearities and cluster states

We propose a scalable approach to building cluster states of matter qubits using coherent states of light. Recent work on the subject relies on the use of single-photonic qubits in the measurement process. These schemes have a low initial success probability and low detector efficiencies cause a serious blowup in resources. In contrast, our approach uses continuous variables and highly efficient measurements. We present a two-qubit scheme, with a simple homodyne measurement system yielding an entangling operation with success probability 1/2. Then we extend this to a three-qubit interaction, increasing this probability to 3/4. We discuss the important issues of the overhead cost and the time scaling, showing how these can be vastly improved with access to this new probability range.
Purification and Clean-up of 3-NPA from Sugarcane by using Molecularly Imprinted Polymer Solid Phase Extraction Coupled with HPLC-siftdesk

The agricultural product is in constant need of improved analytical techniques that can be used to control the manufacturing process and the food safety of the products. A new selective material based on molecularly imprinted polymers (MIPs) were prepared by bulk polymerization methods and used as solid-phase extraction (SPE) sorbent for sample enhancement of 3-nitropropanic acid (3-NPA) in sugarcane samples prior to high-performance liquid chromatography (HPLC). The objective of this work was to devolved techniques for the extraction, purification, clean up, and preconcentration of 3-NPA from sugarcane samples employing MIP for SPE. The obtained polymers were characterized using field emission scanning electron microscopy, Fourier transforms infrared and the adsorption capacity of SA-SMIP was studied. The developed MISPE method showed excellent linearity in the range of 40–70 mg L with coefﬁcient of determination (r²) >0.9997 and good 3-NPA recoveries of >99% and limits of detection LOD and LOG were ranging from 0.19 mg L to 0.58 mg L, respectively. The method was successfully applied to the analysis of 3-NPA in selected sugarcane samples. MIP-SPE allows not only the analyte to be pre-concentrated but also removed the other compounds from the sample matrix. The MISPE technique has been successfully applied to purification, preconcentration, and clean-up of 3-nitropropionic acid in poisoning sugarcane.
The Brauer group of the moduli stack of elliptic curves

We compute the Brauer group of the moduli stack of elliptic curves over the integers, localizations of the integers, finite fields of odd characteristic, and algebraically closed fields of characteristic not $2$. The methods involved include the use of the parameter space of Legendre curves and the moduli stack of curves with full (naive) level $2$ structure, the study of the descent spectral sequence in etale cohomology and the Leray spectral sequence in fppf cohomology, the computation of the group cohomology of $S_3$ in a certain integral representation, the classification of cubic Galois extensions of the field of rational numbers, the computation of Hilbert symbols in the ramified case for the primes $2$ and $3$, and finding $p$-adic elliptic curves with specified properties.
A STUDY OF THE CAREGIVING ACTIVITIES OF FORMAL AND INFORMAL CAREGIVERS AT THE PAEDIATRIC WARD OF THE CAPE COAST TEACHING HOSPITAL, GHANA

Relationships are formed between formal and informal caregivers as they cater for in-patients. These relationships are formed as they perform their caregiving activities. The various caregiving tasks of formal and informal caregivers tend to overlap, causing conflict in the relationships between formal and informal caregivers. Conflicts between caregivers negatively affect the health care of in-patients. There is therefore the need for caregivers (both formal and informal) to know what their various tasks are, which is a step toward a coordinated working relationship between them. Studies have found that caregiving roles, communication and role expectations and perceptions of formal and informal caregivers determine whether both parties can coordinate their various caregiving tasks. Limited research is also found on how formal and informal caregivers relate with one another in providing care for the elderly and those with specific ailments such as Alzheimer’s disease, dementia and delirium who might not be necessarily hospitalised. Previous studies have not treated the various tasks performed by formal and informal caregivers and the tasks that overlap between them which is the focus of this study. A sample size of 21 study participants, including eight in-patients, eight informal caregivers and five formal caregivers, was used. The study adopted the qualitative research approach using interviews and observation to gather data from formal and informal caregivers. It was found that specialised caregiving tasks were performed by formal caregivers while unspecialised caregiving tasks were performed by informal caregivers. Overlaps in the performance of specialised and unspecialised caregiving tasks were detected when some caregiving tasks that otherwise required unspecialised skills needed to be performed with specialised skills. Where a minimum level of skill was required, informal caregivers were taught a few skills to enable them to undertake those tasks. In order to improve the working relationship between formal and informal caregivers at the paediatric ward of the Cape Coast Teaching Hospital, it is recommended that these minor training by formal caregivers are intensified to improve the working relationship between formal and informal caregivers. Hospitals should also have clearly delineated roles for formal and informal caregivers to avoid overlapping caregiving tasks. This will ultimately enhance the quality of care provided to in-patients by improving communication between caregivers and reducing conflicts. Article visualizations:
Non-LTE Abundances in OB stars: Preliminary Results for 5 Stars in the Outer Galactic Disk

Abstract The aim of this study is to analyse and determine elemental abundances for a large sample of distant B stars in the outer Galactic disk in order to constrain the chemical distribution of the Galactic disk and models of chemical evolution of the Galaxy. Here, we present preliminary results on a few stars along with the adopted methodology based on securing simultaneous O and Si ionization equilibria with consistent NLTE model atmospheres.
Géomérie non-commutative, formule des traces et conducteur de Bloch

This text is based on a talk by the first named author at the first congress of the SMF (Tours, 2016). We present Bloch's conductor formula, which is a conjectural formula describing the change of topology in a family of algebraic varieties when the parameter specialises to a critical value. The main objective of this paper is to describe a general approach to the resolution of Bloch's conjecture based on techniques from both non-commutative geometry and derived geometry.
Finite chains inside thin subsets of ℝd

In a recent paper, Chan, \L aba, and Pramanik investigated geometric configurations inside thin subsets of the Euclidean set possessing measures with Fourier decay properties. In this paper we ask which configurations can be found inside thin sets of a given Hausdorff dimension without any additional assumptions on the structure. We prove that if the Hausdorff dimension of $E \subset {\Bbb R}^d$, $d \ge 2$, is greater than $\frac{d+1}{2}$, then there exists a non-empty interval $I$ such that given any sequence $\{t_1, t_2, \dots, t_k; t_j \in I\}$, there exists a sequence ${\{x^j\}}_{j=1}^{k+1}$, such that $x^j \in E$ and $|x^{i+1}-x^i|=t_j$, $1 \leq i \leq k$. In other words, $E$ contains vertices of a chain of arbitrary length with prescribed gaps.
Robust consumption‐investment problem under CRRA and CARA utilities with time‐varying confidence sets

We consider a robust consumption‐investment problem under constant relative risk aversion and constant absolute risk aversion utilities. The time‐varying confidence sets are specified by Θ, a correspondence from [0, T] to the space of the Lévy triplets, and describe a priori drift, volatility, and jump information. For each possible measure, the log‐price processes of stocks are semimartingales, and the triplet of their differential characteristics is almost surely a measurable selector from the correspondence Θ. By proposing and investigating the global kernel, an optimal policy and a worst‐case measure are generated from a saddle point of the global kernel, and they constitute a saddle point of the objective function.
Radial fast diffusion on the hyperbolic space

We consider positive radial solutions to the fast diffusion equation ut=Δ(um) on the hyperbolic space HN for N⩾2 , m∈(ms,1) , ms=(N−2)/(N+2) . By radial, we mean solutions depending only on the geodesic distance r from a given point o∈HN . We investigate their fine asymptotics near the extinction time T in terms of a separable solution of the form V(r,t)=(1−t/T)1/(1−m)V1/m(r) , where V is the unique positive energy solution, radial with respect to o , to −ΔV=cV1/m for a suitable c>0 , a semilinear elliptic problem thoroughly studied in [G. Mancini and K. Sandeep, ‘On a semilinear elliptic equation in Hn ’, Ann. Sc. Norm. Super. Pisa Cl. Sci. 7 (2008) 635–671; M. Bonforte, F. Gazzola, G. Grillo and J. L. Vázquez, ‘Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space’, Calc. Var. Partial Differential Equations 46 (2013) 375–401]. We show that u converges to V in relative error, in the sense that ∥um(·,t)/Vm(·,t)−1∥∞→0 as t→T− . In particular, the solution is bounded above and below, near the extinction time T , by multiples of (1−t/T)1/(1−m)e−(N−1)r/m . Solutions are smooth, and bounds on derivatives are given as well. In particular, sharp convergence results as t→T− are shown for spatial derivatives, again in the form of convergence in relative error.
The weak solution to a Boltzmann type equation and its energy conservation

In this paper, we study the initial value problem of a Boltzmann type equation with a nonlinear degenerate damping. We prove the existence of global weak solutions with large initial data, in three dimensional space. We rely on a variant version of the Gronwall inequality and $L^p$ regularity of average velocities to derive the compactness of solutions to a suitable approximation. This allows us to recover a weak solution by passing to the limits. After the existence result, we also prove energy conservation for the weak solution under some certain condition.
Identification of the degradation coefficient for an anomalous diffusion process in hydrology

This paper is devoted to identifying the degradation coefficient in an anomalous diffusion process by using the average flux data at the accessible part of the boundary. Firstly, we prove the average flux measurement data can uniquely determine the degradation coefficient. Secondly, to overcome the severe ill-posedness, we combine the variational regularization method with Laplace approximations (LAs) to solve the inverse problem. This hybrid method is essentially the combination of the deterministic regularization method and stochastic method. Thus, it is able to calculate the minimizer (maximum a posteriori point) more rapidly and accurately, while retaining the statistical information for quantifying the uncertainty of the solution. Furthermore, the existence, stability and convergence of the minimizer of the variational problem are proved. The convergence rate estimate between the posterior distribution and the actual posterior distribution in the sense of the Hellinger distance is given, and the skewness is introduced for characterizing the symmetry or slope of the LA solution, especially the relationship with the symmetry of the measurement data. Finally, some numerical examples are presented to confirm the robustness of the proposed method.
Spherical polyharmonics and Poisson kernels for polyharmonic functions

ABSTRACT We introduce and develop the notion of spherical polyharmonics, which are a natural generalisation of spherical harmonics. In particular we study the theory of zonal polyharmonics, which allows us, analogously to zonal harmonics, to construct Poisson kernels for polyharmonic functions on the union of rotated balls. We find the representation of Poisson kernels and zonal polyharmonics in terms of the Gegenbauer polynomials. We show the connection between the classical Poisson kernel for harmonic functions on the ball, Poisson kernels for polyharmonic functions on the union of rotated balls, and the Cauchy-Hua kernel for holomorphic functions on the Lie ball.
A Solution for the Open Abelian Sandpile Problem of Distributing k Items in N Vertices, where k = N

This paper outlines a closed solution to an open problem in Graph Theory concerning the classification of the successful initial distributions of k items in N vertices, where $k = N$, that lead to the terminal set $N_k = \{ n_i\} $, where $n_i=1$ and $i=1,2,3,. ,k$. First, each successful initial distribution is enumerated using an algorithm. The closed solution classifies the terminal set in terms of its modulus, and proves that each successful initial distribution can be classified by the same modulus.
Distances between probability distributions via characteristic functions and biasing

In a spirit close to classical Stein's method, we introduce a new technique to derive first order ODEs on differences of characteristic functions. Then, using concentration inequalities and Fourier transform tools, we convert this information into sharp bounds for the so-called smooth Wasserstein metrics which frequently arise in Stein's method theory. Our methodolgy is particularly efficient when the target density and the object of interest both satisfy biasing equations (including the zero-bias and size-bias mechanisms). In order to illustrate our technique we provide estimates for: (i) the Dickman approximation of the sum of positions of records in random permutations, (ii) quantitative limit theorems for convergence towards stable distributions, (iii) a general class of infinitely divisible distributions and (iv) distributions belonging to the second Wiener chaos, that is to say, in some situations impervious to the standard procedures of Stein's method. Except for the stable distribution, our bounds are sharp up to logarithmic factors. We also describe a general argument and open the way for a wealth of refinements and other applications.
Dynamical systems analysis of phantom dark energy models

In this work, we study the dynamical systems analysis of phantom dark energy models considering five different potentials. From the analysis of these five potentials we have found a general parametrization of the scalar field potentials which is obeyed by many other potentials. Our investigation shows that there is only one fixed point which could be the beginning of the universe. However, future destiny has many possible options. A detailed numerical analysis of the system has been presented. The observed late time behaviour in this analysis shows very good agreement with the recent observations.
Ground-penetrating Radar and Geotechnical Analyses to Investigate the Foundation Settlements of an Indiana House in NW Spain

ABSTRACT Settlements represent one of the most dangerous causes of degradation of the stability and preservation of buildings. This work presents a Ground-Penetrating Radar (GPR) survey aiming to investigate settlement problems that compromise the structural integrity of an Indiana-style house built in 1933–36 (Cabanas, northwest of Spain). From a simple visual inspection, it was possible to observe external damage like cracking, subsidence and bulging in the building façades, retaining walls and pavements. The GPR survey was conducted using a ProEx system with a 500 MHz antenna, which allowed for the production of an overall image of the subsoil until a depth of 3–4 m. The GPR data allowed for the detection of subsidence, voids and poor soil compaction, which made easier the identification of building settlements. The GPR interpretation was then validated with geotechnical prospection (sampling and dynamic probing superheavy (DPSH) tests), which showed good agreement between techniques. The better knowledge of this settlement phenomena was promising for the engineers and architects engaged in the design of conservation activities for such a singular architectural heritage.
A Reifenberg type characterization for $m$-dimensional $C^1$-submanifolds of $\mathbb R^n$

Abstract. We provide a Reifenberg type characterization for m-dimensional C-submanifolds of R. This characterization is also equivalent to Reifenberg-flatness with vanishing constant combined with suitably converging approximating m-planes. Moreover, a sufficient condition can be given by the finiteness of the integral of the quotient of θ(r)-numbers and the scale r, and examples are presented to show that this last condition is not necessary.
Two Posets of Noncrossing Partitions Coming From Undesired Parking Spaces

Consider the noncrossing set partitions of an n-element set which either do not contain the block {n − 1, n}, or which do not contain the singleton block {n} whenever 1 and n − 1 are in the same block. In this article we study the subposet of the noncrossing partition lattice induced by these elements, and show that it is a supersolvable lattice, and therefore lexicographically shellable. We give a combinatorial model for the NBB bases of this lattice and derive an explicit formula for the value of its Möbius function between least and greatest element. This work is motivated by a recent article by M. Bruce, M. Dougherty, M. Hlavacek, R. Kudo, and I. Nicolas, in which they introduce a subposet of the noncrossing partition lattice that is determined by parking functions with certain forbidden entries. In particular, they conjecture that the resulting poset always has a contractible order complex. We prove this conjecture by embedding their poset into ours, and showing that it inherits the lexicographic shellability.
HMI Synoptic Maps Produced by NSO/NISP

Recently, the National Solar Observatory (NSO) Solar-atmosphere Pipeline Working Group has undertaken the production of synoptic maps from Helioseismic and Magnetic Imager (HMI) magnetograms. A set of maps has been processed spanning the data available for 2010-2015 using twice daily images (taken at UT midnight and noon) and running them through the same algorithms used to produce SOLIS/VSM 6302l mean-magnetic and spatial-variance maps. The contents of this document provide an overview of what these maps look like, and the processing steps used to generate them from the original HMI input data.
Mean-field Dynamics of Load-Balancing Networks with General Service Distributions

We introduce a general framework for the mean-field analysis of large-scale load-balancing networks with general service distributions. Specifically, we consider a parallel server network that consists of N queues and operates under the $SQ(d)$ load balancing policy, wherein jobs have independent and identical service requirements and each incoming job is routed on arrival to the shortest of $d$ queues that are sampled uniformly at random from $N$ queues. We introduce a novel state representation and, for a large class of arrival processes, including renewal and time-inhomogeneous Poisson arrivals, and mild assumptions on the service distribution, show that the mean-field limit, as $N \rightarrow \infty$, of the state can be characterized as the unique solution of a sequence of coupled partial integro-differential equations, which we refer to as the hydrodynamic PDE. We use a numerical scheme to solve the PDE to obtain approximations to the dynamics of large networks and demonstrate the efficacy of these approximations using Monte Carlo simulations. We also illustrate how the PDE can be used to gain insight into network performance.
On the dynamics of tilted black hole-torus systems

We present results from three-dimensional, numerical relativity simulations of a {\it tilted} black hole-thick accretion disc system. The simulations are analysed using tracer particles in the disc which are advected with the flow. Such tracers, which we employ in these new simulations for the first time, provide a powerful means to analyse in detail the complex dynamics of tilted black hole-torus systems. We show how its use helps to gain insight in the overall dynamics of the system, discussing the origin of the observed black hole precession and the development of a global non-axisymmetric $m=1$ mode in the disc. Our three-dimensional simulations show the presence of quasi-periodic oscillations (QPOs) in the instantaneous accretion rate, with frequencies in a range compatible with those observed in low mass X-ray binaries with either a black hole or a neutron star component. The frequency ratio of the dominant low frequency peak and the first overtone is $o_1/f \sim 1.9$, a frequency ratio not attainable when modelling the QPOs as $p$-mode oscillations in axisymmetric tori.
Molecular assessment of Ulva (Ulvales, Chlorophyta) diversity in Vietnam including the new species U. vietnamensis

Species diversity of Ulva in Vietnam was investigated using three commonly used genetic markers, the nuclear encoded rDNA ITS region and the plastid encoded rbcL and tufA genes. Single locus species delimitation methods, complemented with morphological and ecological information resulted in the delimitation of 19 species. This diversity is largely incongruent with the traditional understanding of Ulva diversity in Vietnam. Only four species identified in this study, U. lactuca, U. reticulata, U. spinulosa, and U. flexuosa, have been previously reported, and seven species, U. ohnoi, U. tepida, U. chaugulii, U. kraftiorum, U. meridionalis, U. limnetica, and U. aragoënsis, are recorded for the first time from Vietnam. Seven genetic clusters could not be associated with species names with certainty. A new species, U. vietnamensis, is described from marine to brackish coastal areas from southern Vietnam based on its morphological and molecular distinctiveness from the currently known Ulva species. A comparison with recent molecular‐based studies of Ulva diversity showed that species composition in Vietnam is similar to that of adjacent countries, including Japan, China, as well as Australia. Our study emphasizes the importance of molecular data in the assessment of Ulva diversity, and indicates that a lot of diversity may still remain to be discovered, especially in tropical regions.