Miracle-dz/UniFAR-FTUs huggingface dataset:
On the symmetrized arithmetic-geometric mean inequality for opertors

We study the symmetrized noncommutative arithmetic geometric mean inequality introduced(AGM) by Recht and R\'{e} $$ \|\frac{(n-d)! }{n! }\sum\limits_{{ j_1,. ,j_d \mbox{ different}} }A_{j_{1}}^*A_{j_{2}}^*. A_{j_{d}}^*A_{j_{d}}. A_{j_{2}}A_{j_{1}} \| \leq C(d,n) \|\frac{1}{n} \sum_{j=1}^n A_j^*A_j\|^d . $$ Complementing the results from Recht and R\'{e}, we find upper bounds for C(d,n) under additional assumptions. Moreover, using free probability, we show that $C(d, n) > 1$, thereby disproving the most optimistic conjecture from Recht and R\'{e}. We also prove a deviation result for the symmetrized-AGM inequality which shows that the symmetric inequality almost holds for many classes of random matrices. Finally we apply our results to the incremental gradient method(IGM).
The Tambara-Yamagami categories and 3-manifold invariants

We prove that if two Tambara-Yamagami categories TY(A,\chi,\nu) and TY(A',\chi',\nu') give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A, A' is odd, then \nu=\nu' and there is a group isomorphism A\approx A' carrying \chi to \chi'. The proof is based on an explicit computation of the state sum invariants for the lens spaces of type (k,1).
Do cathedral glasses flow?—Additional remarks

We present a revised estimate of the relaxation time at room temperature for a window glass based on extrapolated isostructural viscosity data. This estimate, while several orders of magnitude less than the previous estimate of Zanotto [Am. J. Phys. 66 (5), 392–395 (1998)], supports his conclusion that window glass cannot flow at room temperature in human time scales.
Integrated 1/spl times/2 loss-less Y-junction splitter on a passive active resonant coupler platform

Summary form only given. With the increasing complexity of optical modules, there is a need for integrating various active and passive devices on a single substrate to increase the functionality of optical chips. In our previous papers, we demonstrated a platform technology called passive active resonant coupler (PARC) for monolithically integrating active and passive devices. The PARC platform used resonant coupling over a taper to couple an optical mode from a highly confined quantum well region to a well confined passive waveguide. The mode transformation region was <100-/spl mu/m long with 0.1-dB coupling loss. PARC uses single epitaxial growth and conventional fabrication schemes. In the present work, we have fabricated a 1/spl times/2 Y-junction splitter integrated with semiconductor optical amplifiers to obtain loss-less characteristics demonstrating the utility of the PARC platform for monolithically integrating both active and passive devices.
The Clinicopathological Significance of BiP/GRP-78 in Breast Cancer: A Meta-Analysis of Public Datasets and Immunohistochemical Detection

The endoplasmic reticulum chaperone BiP (also known as GRP-78 or HSPA5) maintains protein folding to allow cell proliferation and survival and has been implicated in carcinogenesis, tumor progression, and therapy resistance. BiP’s association with clinical factors and prognostic potential in breast cancer remains unclear. In this work, three types of analysis were conducted to improve the knowledge of BiP’s clinicopathological potential: (1) analysis of publicly available RNA-seq and proteomics datasets stratified as high and low quartiles; (2) a systematic review and meta-analysis of immunohistochemical detection of BIP; (3) confirmation of findings by BiP immunohistochemical detection in two luminal-like breast cancer small cohorts of paired samples (pre- vs. post-endocrine therapy, and primary pre- vs. metastasis post-endocrine therapy). The TCGA PanCancer dataset and CPTAC showed groups with high BiP mRNA and protein associated with HER2, basal-like subtypes, and higher immune scores. The meta-analysis of BiP immunohistochemistry disclosed an association between higher BiP positivity and reduced relapse-free survival. BiP immunohistochemistry confirmed increased BiP expression in metastasis, an association of BiP positivity with HER2 expression, and nuclear BiP localization with higher a tumor stage and poor outcome. Therefore, three independent approaches showed that BiP protein is associated with worse outcomes and holds prognostic potential for breast cancer.
Moderate Deviations for a Curie-Weiss model with dynamical external field

In the present paper we prove moderate deviations for a Curie-Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Plantard. The results extend those already obtained in the case of a constant external field by Eichelsbacher and L\"owe. The Curie-Weiss model with dynamic external field is related to the so called dynamic Z-random walks. We also prove a moderate deviation result for the dynamic Z-random walk, completing the list of limit theorems for this object.
Dietary Effect of Palm Kernel Oil Inclusion in Feeding Finishing Lambs on Meat Quality

Simple Summary Palm kernel oil (PKO) is extracted from an oleaginous seed fruit (Elaeis guineenses Jacq.), commonly cultivated in Brazil, and it can be used strategically as a ruminal fermentation modulator and possibly affect the meat quality. We conducted an experimental trial increasing PKO levels in the diet of lambs, and we evaluated different meat quality parameters, such as carcass weight and characteristics, the yield of commercial cuts, physicochemical composition, fatty acid profile, and sensorial consumer perception. However, we observe that palm kernel oil in the diet of lambs up to the level of 5.2% did not change the physicochemical attributes of lamb meat. However, it reduced the slaughter body weight and carcass traits weight and yield, C18:3 and n-3 FA content, and juiciness by sensory panel perception, thus from the point of view of lamb meat production and fatty acid profile, the inclusion of PKO is not beneficial. Abstract This study evaluated the effects of palm kernel oil (PKO) in the diet of lambs on carcass characteristics, quality, and fatty acid profile of the meat. Forty uncastrated male Santa Inês lambs were used and divided among the treatments: PKOzero without inclusion; PKO1.3—added 1.3%; PKO2.6—added 2.6%; PKO3.9—added 3.9%; PKO5.2—added 5.2%. The carcass characteristics, the variables related to meat color, and the chemical composition of the Longissimus lumborum of lambs were not affected by the PKO inclusion. The weight of the carcasses at slaughter, hot and cold, half carcass, loin-eye area, and commercial cuts decreased linearly when PKO was added to the lamb diet (p < 0.01). CCY decreased linearly to the inclusion level of 2.66% PKO (RMSE 2.204). Total conjugated linoleic acid CLA and C18:3 n-3 GA concentrations remained stable until the inclusion levels of 3.44% PKO (RMSE 0.0956) and 2.17% (RMSE 0.0637), decreasing its concentrations as the increased level of PKO. The presence of PKO in the lambs’ diet up to the level of 5.2% did not change the meat quality characteristics; thus, from the point of view of lamb meat production and fatty acid profile, the inclusion of PKO is not beneficial.
SUSY Unparticle and Conformal Sequestering

We investigate unparticle physics with supersymmetry (SUSY). The SUSY breaking effects due to the gravity mediation induce soft masses for the SUSY unparticles and hence break the conformal invariance. The unparticle physics observable in near future experiments is only consistent if the SUSY breaking effects from the hidden sector to the standard model sector are dominated by the gauge mediation, or if the SUSY breaking effects to the unparticle sector are sufficiently sequestered. We argue that the natural realization of the latter possibility is the conformal sequestering scenario.
Random two-component spanning forests

We study random two-component spanning forests ($2$SFs) of finite graphs, giving formulas for the first and second moments of the sizes of the components, vertex-inclusion probabilities for one or two vertices, and the probability that an edge separates the components. We compute the limit of these quantities when the graph tends to an infinite periodic graph in ${\mathbb R}^d$.
Optical clues to the nature of Hercules X-1/HZ Herculis

The 1d/sub . /7 optical light curve of Her X-1/HZ Her varies in a highly systematic fashion over the 35 day X-ray on-off cycle. These variations can be reproduced in some detail by a relatively simple model based on a tilted, precessing accretion disk which serves three functions: a source of optical radiation, a shadowing body for X-ray emission, and an occulting body for the reemitted optical radiation from the heated face of HZ Her. A minimum variance relaxation of this model onto the available photometric data suggests that the disk is well represented by a precessing, steady-state configuration of accreting matter, that the disk essentially fills the critical Roche lobe of the collapsed companion, and that the disk is tilted out of the orbital plane by an angle which exceeds the complement of the orbital inclination. (AIP)
Molecular Epidemiology of Antimicrobial Resistance and Virulence Profiles of Escherichia coli, Salmonella spp., and Vibrio spp. Isolated from Coastal Seawater for Aquaculture

The occurrence of waterborne antimicrobial-resistant (AMR) bacteria in areas of high-density oyster cultivation is an ongoing environmental and public health threat given the popularity of shellfish consumption, water-related human recreation throughout coastal Thailand, and the geographical expansion of Thailand’s shellfish industry. This study characterized the association of phenotypic and genotypic AMR, including extended-spectrum β-lactamase (ESBL) production, and virulence genes isolated from waterborne Escherichia coli (E. coli) (n = 84), Salmonella enterica (S. enterica) subsp. enterica (n = 12), Vibrio parahaemolyticus (V. parahaemolyticus) (n = 249), and Vibrio cholerae (V. cholerae) (n = 39) from Thailand’s coastal aquaculture regions. All Salmonella (100.0%) and half of V. cholerae (51.3%) isolates harbored their unique virulence gene, invA and ompW, respectively. The majority of isolates of V. parahaemolyticus and E. coli, ~25% of S. enterica subsp. enterica, and ~12% of V. cholerae, exhibited phenotypic AMR to multiple antimicrobials, with 8.9% of all coastal water isolates exhibiting multidrug resistance (MDR). Taken together, we recommend that coastal water quality surveillance programs include monitoring for bacterial AMR for food safety and recreational water exposure to water for Thailand’s coastal water resources.
COVID-19 infection forecasting using LSTM-based model

COVID-19 has now become one of the most severe and acute diseases worldwide. Novel Coronavirus transmission is characterized by its high speed and large social population base, making novel Coronavirus detection very difficult. Therefore, automatic detection systems should be implemented as an option for rapid diagnosis. Automated disease detection frameworks help physicians diagnose diseases with accurate, consistent, and rapid results, and reduce ethics. In this paper, we propose a deep learning method based on long-term Memory (LSTM) for automatic diagnosis of COVID-19 in combination with the existing prediction model SEIR.
Nano-Optomechanical Resonators Based on Suspended Graphene for Thermal Stress Sensing

Nanomechanical resonators made from suspended graphene combine the properties of ultracompactness and ultrahigh detection sensitivity, making them interesting devices for sensing applications. However, nanomechanical systems can be affected by membrane stress. The present work developed an optomechanical resonator for thermal stress sensing. The proposed resonator consists of a section of hollow core fiber (HCF) and a trampoline graphene–Au membrane. An all-optical system that integrated optical excitation and optical detection was applied. Then, the resonance frequency of the resonator was obtained through this all-optical system. In addition, this system and the resonator were used to detect the membrane’s built-in stress, which depended on the ambient temperature, by monitoring the resonance frequency shift. The results verified that the temperature-induced thermal effect had a significant impact on membrane stress. Temperature sensitivities of 2.2646 kHz/°C and 2.3212 kHz/°C were obtained when the temperature rose and fell, respectively. As such, we believe that this device will be beneficial for the quality monitoring of graphene mechanical resonators.
Fabrication of Si/LiNbO3 Structure by Using Film Bonding Process

In this work, we studied a fabrication process of the surface acoustic wave (SAW)-semiconductor coupled device with a Si/LiNbO3 structure by a film bonding process. The aim of this process is to realize a coupled device with a high performance and mass productivity for cost reduction. In order to realize bonding silicon films on a LiNbO3 substrate, we proposed the process of releasing a Si thin film from a silicon-on-insulator (SOI) wafer and examined the etching conditions of a SiO2 (box) layer. We also tried to apply local heating treatment using a microwave and an infrared laser to enhance the bonding force between the Si film and LiNbO3 substrate, and successfully bonded Si films released from a SOI wafer onto the LiNbO3 substrate. Based on these results, a test device with a Si/LiNbO3 structure was fabricated and the interaction between SAW and the optically induced carrier in the Si film semiconductor was discussed.
Positive solutions for nonlinear Choquard equation with singular nonlinearity

Abstract In this article, we study the following non-linear Choquard equation with singular non-linearity where is a bounded domain in with smooth boundary , and . Using variational approach and structure of associated Nehari manifold, we show the existence and multiplicity of positive weak solutions of the above problem, if is less than some positive constant. We also study the regularity of these weak solutions.
A REELABORAÇÃO DE GÊNEROS EM TWEETS: PROPÓSITOS COMUNICATIVOS EM 280 CARACTERES REELABORACIÓN DE GÉNEROS EN TWEETS: PROPÓSITOS COMUNICATIVOS EN 280 CARACTERES

: According to Bakhtin (2011), speech genres are relatively stable types of utterances that circulate in different spheres of human activity. Over the years, especially after the popularization of certain technologies, such as the internet, new genres have emerged, from the transmutation/re-elaboration of pre-existing genres. The re-elaboration phenomenon also occurs when a genre transforms, with no arising of a new genre. This article presents a view about genre re-elaboration in tweets, a 280-character text published on the social network Twitter, to analyze which strategies are used for genre re-elaboration in a corpus of tweets posted by different users with diverse communicative purposes. The analysis showed a productivity of the re-elaboration phenomenon on tweets, in which genres from various spheres, such as journalistic, advertising
Effect of binary sources on the search for massive astrophysical compact halo objects via microlensing

If the dark matter in the Galactic halo consists of compact objects in the 10 −6 -10 2 M ⊙ mass range, it can be detected as it gravitationally microlenses stars in neighboring galaxies and the Galactic bulge. Though extremely rare, microlensing has several powerful signatures: the light curves follow a well-known function, are time symmetric, and are the same in all filter bands. These signatures, however, may be lost if the source star is a member of a binary system. Since most stars are, in fact, members of binaries, the true microlensing events may be rejected as background
Lyman-alpha depression of the continuum from high-redshift quasars - A new technique applied in search of the Gunn-Peterson effect

A subtraction of the mean absorption due to distinct clouds and a novel method for intensity-distribution examination are presently applied to all extant data bearing on the opacity due to smoothly distributed hydrogen absorption of the local Ly-alpha wavelength. It is found that, at z of about 3, the data imply 30 percent more opacity than in measurable lines; this could be due to either lines of very small column density or to true continuous absorption. At z above 4, the total absorption is larger by 20 percent + or - 30 percent than a simple extrapolation from lower redshift data, implying a limit of 15 percent reduction in the ionizing background for z of 3-4.5. 34 refs.
The plasmonic eigenvalue problem

A plasmon of a bounded domain $\Omega\subset\mathbb{R}^n$ is a non-trivial bounded harmonic function on $\mathbb{R}^n\setminus\partial\Omega$ which is continuous at $\partial\Omega$ and whose exterior and interior normal derivatives at $\partial\Omega$ have a constant ratio. We call this ratio a plasmonic eigenvalue of $\Omega$. Plasmons arise in the description of electromagnetic waves hitting a metallic particle $\Omega$. We investigate these eigenvalues and prove that they form a sequence of numbers converging to one. Also, we prove regularity of plasmons, derive a variational characterization, and prove a second order perturbation formula. The problem can be reformulated in terms of Dirichlet-Neumann operators, and as a side result we derive a formula for the shape derivative of these operators.
Essays on regular variations in classical and free setup

This is a thesis on some applications of regularly varying functions. Three problems are considered. The first problem is about the randomly weighted sums, the second is on the behavior of the product under conditional extreme value model and the final problem studies heavy tailed measures under free convolution. The first chapter gives a brief overview of the heavy tailed distributions.
Fast approximate maximum likelihood algorithm for single source localisation

The authors present an approximation for the deterministic maximum likelihood (ML) method for estimating the direction of arrival of a signal from a single source. To apply the proposed approximate ML (AML) method one has to compute the principal eigenvector of the sample covariance matrix, i.e. the unit eigenvector corresponding to the largest eigenvalue. Surprisingly, the AML method coincides with the principal eigenvector method of Evans, Johnson and Sun (1982) that was derived based on the unnecessary assumption of high signal-to-noise ratio. Next, the authors present for the AML method a fast and simple explicit method for computing the principal eigenvector of the sample covariance matrix as well as an explicit estimator for the signal-to-noise ratio. The proposed explicit AML (EAML) method is faster than the ML method in carrying out the maximisation step. Simulations reveal that AML and ML methods have similar performance, while EAML performance is only slightly inferior to the ML method.
Assessing medical students’ perceived stress levels by comparing a chatbot-based approach to the Perceived Stress Questionnaire (PSQ20) in a mixed-methods study

Objective Digital transformation in higher education has presented medical students with new challenges, which has increased the difficulty of organising their own studies. The main objective of this study is to evaluate the effectiveness of a chatbot in assessing the stress levels of medical students in everyday conversations and to identify the main condition for accepting a chatbot as a conversational partner based on validated stress instruments, such as the Perceived Stress Questionnaire (PSQ20). Methods In this mixed-methods research design, medical-student stress level was assessed using a quantitative (digital- and paper-based versions of PSQ20) and qualitative (chatbot conversation) study design. PSQ20 items were also shortened to investigate whether medical students’ stress levels can be measured in everyday conversations. Therefore, items were integrated into the chat between medical students and a chatbot named Melinda. Results PSQ20 revealed increased stress levels in 43.4% of medical students who participated (N = 136). The integrated PSQ20 items in the conversations with Melinda obtained similar subjective stress degree results in the statistical analysis of both PSQ20 versions. Qualitative analysis revealed that certain functional and technical requirements have a significant impact on the expected use and success of the chatbot. Conclusion The results suggest that chatbots are promising as personal digital assistants for medical students; they can detect students’ stress factors during the conversation. Increasing the chatbot's technical and social capabilities could have a positive impact on user acceptance.
REMOVAL OF Pb2+ AND Cr3+ USING RICE HUSK AS BIOSORBENT

: The biosorption process and agricultural waste to treat heavy metals has drawn much attention. This method seems to be a more economical, envchromiummentally friendly, and simple way for removing heavy metals from effluents. The study was conducted to explore the efficiency of the biosorption process utilizing rice husk to remove Pb 2+ and Cr 3+ from synthetic wastewater. Biosorption studies at different operating parameters, such as biosorbent dosage (0.5-5.0 g), pH (pH2– 8), contact time (15-120 minutes), and initial heavy metal concentration (10-100 mg/L), were conducted in batch experiments. The highest performance for Pb 2+ and Cr 3+ biosorption was found at 5.0g biosorbent dosage of spent mushroom compost, unadjusted pH 6, 10 minutes of contact time, and 10 mg/L of initial concentration. The study was well fitted to the Langmuir isotherm model (R 2 > 0.90) for Pb 2+ and Cr 3+ biosorption, which are much greater compared to the Freundlich model. Solvent of 0.1N Sulphuric acid showed higher desorption of Pb 2+ (89%) and Cr 3+ (86%) adsorption-desorption process can be continued till seven cycles efficiently. In conclusion, the rice husk has the potential to be an effective biosorbent for removing Pb 2+ and Cr 3+ from synthetic wastewater.
Hubble Space Telescope Ultraviolet Spectroscopy of Two Hot White Dwarfs

We have obtained Hubble Space Telescope high-dispersion spectroscopy of two hot white dwarfs using the Goddard High-Resolution Spectrograph. The stars were selected on the basis of EUV flux as examples of H-rich DA stars containing high and low levels of short-wavelength opacity. The high-opacity star, REJ 1614-085, possesses strong features due to C IV, Si IV, and N V. Carbon and silicon in this star are underabundant with respect to the predictions of radiative levitation; nitrogen, however, is superabundant. This is in sharp contrast to the apparently similar DA star GD 394, where silicon is in extreme overabundance. The low-opacity star PG 1057+719, as expected, shows no clear evidence of these or any other heavy ions. We find evidence of weak blueshifted components in the REJ 1614-085 C IV and Si IV lines, which may indicate the star is experiencing ongoing mass loss.
Two Pinning Models with Markov disorder

Disordered pinning models deal with the (de)localization tran- sition of a polymer in interaction with a heterogeneous interface. In this paper, we focus on two models where the inhomogeneities at the interface are not independent but given by an irreducible Markov chain on a finite state space. In the first model, using Markov renewal tools, we give an expression for the annealed critical curve in terms of a Perron-Frobenius eigenvalue, and provide examples where exact computations are possible. In the second model, the transition matrix vary with the size of the system so that, roughly speaking, disorder is more and more correlated. In this case we are able to give the limit of the averaged quenched free energy, therefore providing the full phase diagram picture, and the number of critical points is related to the number of states of the Markov chain. We also mention that the question of pinning in correlated disorder appears in the context of DNA denaturation.