Miracle-dz/UniFAR-FTUs huggingface dataset:
RadioMic: Sound Sensing via Radio Signals

Voice interfaces have become an integral part of our lives with the proliferation of smart devices. Today, Internet of Things devices mainly rely on microphones to sense sound. Microphones, however, have fundamental limitations, such as weak source separation, limited range in the presence of acoustic insulation, and being prone to multiple side-channel attacks. In this article, we propose RadioMic, a radio-based sound sensing system to mitigate these issues and enrich sound applications. RadioMic constructs sound based on tiny vibrations on active sources (e.g., a speaker diaphragm) or object surfaces (e.g., paper bag), and can work through walls, even a soundproof one. To convert the extremely weak sound vibration in the radio signals into sound signals, RadioMic introduces radio acoustics, and presents training-free approaches for robust sound detection and high-fidelity sound recovery. It then exploits a neural network to further enhance the recovered sound by expanding the recoverable frequencies and reducing the noises. RadioMic translates massive online audios to synthesized data to train the network and, thus, minimizes the need for radio-frequency (RF) data. We thoroughly evaluate different components of RadioMic under different scenarios using a commodity mmWave radar. The results show RadioMic outperforms the state-of-the-art systems significantly. We believe RadioMic provides new horizons for sound sensing and inspires attractive sensing capabilities of mmWave sensing devices.
L p -Regularity of Fourier Integrals on Product Spaces

In this paper, we give an extension of the classical L p -theorem of Fourier integral operators into product space: R N1× R N2×···× R Nn. We require their phase functions satisfying the crucial non-degeneracy condition, on each coordinate subspace R Ni for i = 1,2,. ,n. In the other hand, by classifying on their symbols of order m, we prove that � � � �
Postbiotics Prepared Using Lactobacillus paracasei CCFM1224 Prevent Nonalcoholic Fatty Liver Disease by Modulating the Gut Microbiota and Liver Metabolism

Postbiotics are rich in a variety of bioactive components, which may have beneficial effects in inhibiting hepatic lipid accumulation. In this study, we investigated the preventive effects of postbiotics (POST) prepared from Lactobacillus paracasei on non-alcoholic fatty liver disease (NAFLD). Our results showed that when mice ingested a high-fat diet (HFD) and POST simultaneously, weight gain was slowed, epididymal white fat hypertrophy and insulin resistance were suppressed, serum biochemical indicators related to blood lipid metabolism were improved, and hepatic steatosis and liver inflammation decreased. Bacterial sequencing showed that POST modulated the gut microbiota in HFD mice, increasing the relative abundance of Akkermansia and reducing the relative abundance of Lachnospiraceae NK4A136 group, Ruminiclostridium and Bilophila. Spearman’s correlation analysis revealed significant correlations between lipid metabolism parameters and gut microbes. Functional prediction results showed that the regulation of gut microbiota was associated with the improvement of metabolic status. The metabolomic analysis of the liver revealed that POST-regulated liver metabolic pathways, such as glycerophospholipid and ether lipid metabolism, pantothenate and CoA biosynthesis, some parts of amino acid metabolism, and other metabolic pathways. In addition, POST regulated the gene expression in hepatocytes at the mRNA level, thereby regulating lipid metabolism. These findings suggest that POST plays a protective role against NAFLD and may exert its efficacy by modulating the gut microbiota and liver metabolism, and these findings may be applied to related functional foods.
The weighted σk-curvature of a smooth metric
measure space

We propose a definition of the weighted $\sigma_k$-curvature of a smooth metric measure space and justify it in two ways. First, we show that the weighted $\sigma_k$-curvature prescription problem is governed by a fully nonlinear second order elliptic PDE which is variational when $k=1,2$ or the smooth metric measure space is locally conformally flat in the weighted sense. Second, we show that, in the variational cases, quasi-Einstein metrics are stable with respect to the total weighted $\sigma_k$-curvature functional. We also discuss related conjectures for weighted Einstein manifolds.
Five remarks about random walks on groups

Abstract. The main aim of the present set of notes is to give new, short and essentially self-contained proofs of some classical, as well as more recent, results about random walks on groups. For instance, we shall see that the drift characterization of Liouville groups, due to Kaimanovich-Vershik and Karlsson-Ledrappier (and to Varopoulos in some important special cases) admits a very short and quite elementary proof. Furthermore, we give a new, and rather short proof of (a weak version of) an observation of Kaimanovich (as well as a small strengthening thereof) that the Poisson boundary of any symmetric measured group (G,μ), is doubly ergodic, and the diagonal G-action on its product is ergodic with unitary coefficients. We also offer a characterization of weak mixing for ergodic (G,μ)spaces parallel to the measure-preserving case. We shed some new light on Nagaev’s classical technique to prove central limit theorems for random walks on groups. In the interesting special case when the measured group admits a product current, we define a Besov space structure on the space of bounded harmonic functions with respect to which the the associated convolution operator is quasicompact without any assumptions on finite exponential moments. For Gromov hyperbolic measured groups, this gives an alternative proof of the fact that every Hölder continuous function with zero integral with respect to the unique stationary probability measure on the Gromov boundary is a co-boundary. Finally, we give a new and almost self-contained proof of a special case of a recent combinatorial result about piecewise syndeticity of product sets in groups by the author and A. Fish.
Improved Fixed-Time Stabilization of Fuzzy Neural Networks With Distributed Delay via Adaptive Sliding Mode Control

This article investigates fixed-time stabilization of fuzzy neural networks with distributed delay by designing an adaptive sliding mode controller. First, according to stability theory and related inequalities, a new fixed-time stability theorem is put forward, and the settling time is given. In order to stabilize the system, a new integral sliding mode surface is designed, and the corresponding sliding mode control strategy and adaptive sliding mode control strategy are established. Some criteria that can be obtained, and it is shown that the neuronal states of neural networks will arrive at the sliding surface in a fixed time, and then approach zero along the sliding surface. Compared with existing sliding mode control techniques, this work extends the previous related results by choosing different parameters of the controller and the sliding mode manifold to gain various protocols. Finally, two examples are provided to verify the validity of the theorems in this work.
Validating Antecedent Factors Affecting Ethical Purchase Behavior: Comparing the Effect of Customer Citizenship versus Corporate Citizenship

The objective of this study was to verify the influence of corporate image and subjective norms on consumers’ purchase intention of a firm’s products. Another important objective was to determine what kind of citizenship—corporate citizenship or customer citizenship—has a greater impact on the relationships between corporate image and purchase intention, and between subjective norms and purchase intention. The findings suggest that both ethical corporate image and subjective norms have positive effects on ethical purchase intention, and that both corporate and customer citizenship significantly moderate this causal relationship. Specifically, we found that corporate citizenship exerted greater impact as a moderator than customer citizenship on ethical purchase behavior. This finding has important theoretical/practical implications as it highlights the weighted attention to be paid to individual versus corporate focus in the study of ethical consumption behavior. In particular, the finding sheds light on the importance of subjective norms as a social peer pressure mechanism since ethical consumption is embedded with socially responsible consumption behavior.
Migraine Headache and the Risk of Depression

Background: Migraine is a primary headache and a complicated neurological disorder with sensory and autonomic abnormalities. Many variables, including genetic and psychological ones, contribute to migraine onset and development. Anxiety and depression are typical psychiatric comorbidities among migraineurs. This kind of comorbidity increased migraine chronicity, treatment effectiveness, and the likelihood of additional comorbidities. The purpose of this research was to determine the prevalence of depression among Saudi migraine sufferers in AlAhsa. Methods: Descriptive cross-sectional research of 101 migraine patients at King Fahd Hospital-Hofuf, AlAhsa, Saudi Arabia from May to December 2021. Depression was assessed by Patient Health Questionnaire which is a reliable tool (PHQ-9). The PHQ-9 measures the presence and severity of depression. Consider sociodemographic, clinical, and individual variations that impact migraine development and prognosis. Results: The inclusion criteria were satisfied by 94 migraine patients in total, with a mean age of 36.9 ± 9 years and they are predominantly females 75.5%. The majority of the participants (76.6%) were on medication to relieve migraine attacks and only 13.9% reported that >75% of attacks were relieved by medication. Almost all of the patients (96.8%) used to drink coffee and tea. The prevalence of depression and migraine was revealed to be 42.6% mild and 8.5% severe among the participants. Four statistically significant correlations (p < 0.05) were young age, being female, low level of education at higher risk to have depression compared to another group of migraineurs. Conclusion: A neurological disorder that commonly causes disability is migraine. Numerous studies have shown that mood disorders and migraines are often co-occurring, and these individuals are more likely to have a migraine-related disability. This research has shown that it is beneficial to prevent psychiatric comorbidity by using PHQ-9 as a regular screening tool for migraine patients.
Path integral on a manifold with a non-free group action

The method of the factorization of the path integral measure, based on a nonlinear filtering equation, is extended to the case of a nonfree isometric action of the compact semisimple unimodular Lie group on a smooth compact Riemannian manifold. The method is applied to the path integral which describes the "quantum" motion of the scalar particle on this manifold. The relation between path integral representing the solution of the parabolic equation on initial and reduced manifold is derived. It is shown that reduction reduction leads to the non invariance of the path integral measure.
The Mach stem equation and amplification in strongly nonlinear geometric optics

We study highly oscillating solutions to a class of weakly well-posed hyperbolic initial boundary value problems. Weak well-posedness is associated with an amplification phenomenon of oscillating waves on the boundary. In some previous works, we have rigorously justified a {\sl weakly nonlinear} regime for {\sl semilinear} problems. In that case, the forcing term on the boundary has amplitude $O(\varepsilon^2)$ and oscillates at a frequency $O(1/\varepsilon)$. The corresponding exact solution, which has been shown to exist on a time interval that is independent of $\varepsilon \in (0,1]$, has amplitude $O(\varepsilon)$. In this paper, we deal with the exact same scaling, namely $O(\varepsilon^2)$ forcing term on the boundary and $O(\varepsilon)$ solution, for {\sl quasilinear} problems. In analogy with the work by Cheverry, Gu\`es and M\'etivier, this corresponds to a {\sl strongly nonlinear} regime, and our main result proves solvability for the corresponding WKB cascade of equations, which yields existence of approximate solutions on a time interval that is independent of $\varepsilon\in (0,1]$. Existence of exact solutions close to approximate ones is a stability issue which highly depends on the hyperbolic system and on the boundary conditions; we do not address that question here. This work encompasses previous formal expansions by Majda and Rosales in the case of weakly stable shock waves, and by Artola and Majda for two-dimensional compressible vortex sheets. In particular, we prove well-posedness for the leading amplitude equation derived by Majda and Rosales (the ``Mach stem equation'') and generalize its derivation to a large class of hyperbolic boundary value problems and to periodic forcing terms. The latter case is solved under a crucial nonresonant assumption and a small divisor condition.
Approximation properties of isogeometric function spaces on singularly parameterized domains

We study approximation error bounds of isogeometric function spaces on a specific type of singularly parameterized domains. In this context an isogeometric function is the composition of a piecewise rational function with the inverse of a piecewise rational geometry parameterization. We consider domains where one edge of the parameter domain is mapped onto one point in physical space. To be more precise, in our configuration the singular patch is derived from a reparameterization of a regular triangular patch. On such a domain one can define an isogeometric function space fulfilling certain regularity criteria that guarantee optimal convergence. The main contribution of this paper is to prove approximation error bounds for the previously defined class of isogeometric discretizations.
Hamilton-Jacobi equations for optimal control on multidimensional junctions

We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a union of half-planes which share a common straight line. This set will be named a junction. We define a notion of constrained viscosity solution of Hamilton-Jacobi equations on the junction and we propose a comparison principle whose proof is based on arguments from the optimal control theory.
Quantitative stochastic homogenization of convex integral functionals

We present quantitative results for the homogenization of uniformly convex integral functionals with random coefficients under independence assumptions. The main result is an error estimate for the Dirichlet problem which is algebraic (but sub-optimal) in the size of the error, but optimal in stochastic integrability. As an application, we obtain quenched $C^{0,1}$ estimates for local minimizers of such energy functionals.
Asymptotic formulae for Eulerian series

Let $(a;q)_{\infty}$ be the $q$-Pochhammer symbol and $\mathrm{li}_2(x)$ be the dilogarithm function. Let $\prod_{\alpha,\beta,\gamma}$ be a finite product with every triple $(\alpha,\beta,\gamma)\in(\mathbb{R}_{>0})^3$ and $S_{\alpha\beta\gamma}\in\mathbb{R}$. Also let the triple $(A,B,v)\in\left(\mathbb{R}_{>0}\times\mathbb{R}^2\right)\cup\left(\{0\}^2\times\mathbb{R}_{>0}\right)\cup\left(\{0\}\times\mathbb{R}_{ 0$ such that $H_{-1}(u)$ is an increasing function on $[0,\varepsilon)$, then as $q\rightarrow 1^-$, \[\mathcal{H}(z;q)=\left(1+o\left(|\log q|^p\right)\right)\int\limits_{0}^{\infty}\frac{q^{Ax^2+Bx}z^{x}}{\prod\limits_{\alpha,\beta,\gamma}(q^{\alpha x+\gamma};q^{\beta})_{\infty}^{S_{\alpha\beta\gamma}}}\,dx\] holds for each $p\ge 0$. We also obtain full asymptotic expansions for $\mathcal{H}(z;q)$ which satisfy above condition as $q\rightarrow 1^{-}$. The complete asymptotic expansions for related basic hypergeometric series could be derived as special cases.
The kappa-word problem over DRH

Let H be a pseudovariety of groups in which the kappa-word problem is decidable. Here, kappa denotes the canonical implicit signature, which consists of the multiplication and the (omega-1)-power. We prove that the kappa-word problem is also decidable over DRH, the pseudovariety of all finite semigroups whose regular R-classes lie in H. Further, we present a canonical form for elements in the free kappa-semigroup over DRH, based on the knowledge of a canonical form for elements in the free kappa-semigroup over H. This extends work of Almeida and Zeitoun on the pseudovariety of all finite R-trivial semigroups.
Impacts of Fortifying Nile Tilapia (Oreochromis niloticus) Diet with Different Strains of Microalgae on Its Performance, Fillet Quality and Disease Resistance to Aeromonas hydrophila Considering the Interplay between Antioxidant and Inflammatory Response

The oxidative stress facing fish during intensive production brings about diseases and mortalities that negatively influence their performance. Along with that, the increased awareness of omega-3 polyunsaturated fatty acids (omega-3-PUFAs) health benefits has been triggered the introduction of alternative additives in aqua feed that cause not only modulation in fish immune response but also fortification of their fillet. In this context, the role of microalgae mix (NSS) containing Nannochloropsis oculate and Schizochytrium and Spirulina species, which were enriched with bioactive molecules, especially EPA and DHA, was assessed on Nile tilapia’s performance, fillet antioxidant stability, immune response, and disease resistance. Varying levels of NSS (0.75%, 1.5%, and 3%) were added to Nile tilapia’s diet for 12 weeks and then a challenge of fish with virulent Aeromonas hydrophila (A. hydrophila) was carried out. Results showed that groups fed NSS, especially at higher levels, showed an improved WG and FCR, which corresponded with enhanced digestive enzymes’ activities. Higher T-AOC was detected in muscle tissues of NSS3.0% fed fish with remarkable reduction in ROS, H2O2, and MDA contents, which came in parallel with upregulation of GSH-Px, CAT, and SOD genes. Notably, the contents of EPA and DHA in fillet were significantly increased with increasing the NSS levels. The mean log10 counts of pathogenic Vibrio and Staphylococcus species were reduced, and conversely, the populations of beneficial Lactobacillus and Bacillus species were increased more eminent after supplementation of NSS3.0% and NSS1.5%. Moreover, regulation of the immune response (lysozyme, IgM, ACH50, NO, and MPO), upregulation of IL-10, TGF-β, and IgM, and downregulation of IL-1β, TNF-α, HSP70, and COX-2 were observed following dietary higher NSS levels. After challenge, reduction in A. hydrophila counts was more prominent, especially in NSS3.0% supplemented group. Taken together, the current study encourages the incorporation of such microalgae mix in Nile tilapia’s diet for targeting maximum performance, superior fillet quality, and protection against A. hydrophila.
Convex cones of generalized multiply monotone functions and the dual cones

Let $n$ and $k$ be nonnegative integers such that $1\le k\le n+1$. The convex cone $\mathcal{F}_+^{k:n}$ of all functions $f$ on an arbitrary interval $I\subseteq\mathbb{R}$ whose derivatives $f^{(j)}$ of orders $j=k-1,\dots,n$ are nondecreasing is characterized in terms of extreme rays of the cone $\mathcal{F}_+^{k:n}$. A simple description of the convex cone dual to $\mathcal{F}_+^{k:n}$ is given. These results are useful in, and were motivated by, applications in probability. In fact, the results are obtained in a more general setting with certain generalized derivatives of $f$ of the $j$th order in place of $f^{(j)}$. Somewhat similar results were previously obtained in the case when the left endpoint of the interval $I$ is finite, with certain additional integrability conditions; such conditions fail to hold in the mentioned applications.
Silvopastoral Systems Ecological Strategy for Decreases C Footprint in Livestock Systems of Piedmont (Meta), Colombia

: The objective of this work was to evaluate different pastures types on carbon footprint (CF). The cattle in the Piedmont zone, Cumaral, Meta, Colombia are principally Brahman, the pastures are formed with the tropical forage grasses Brachiaria decumbens for improved pastures (IP) and degraded pastures of B. brizantha (DP), also, various silvopastoral systems (SPSs) depending of planting trees on pasture at the same time and in the same space were evaluated. GHG emissions per kg of live
Parafermions in the τ2 model

It has been shown recently by Baxter that the τ2(tq) model with open boundary conditions can be solved by the ‘parafermionic’ method of Fendley. In Baxter's paper there are several conjectures, which were formulated based on numerical short-chain calculations. Here we present the proof of two of them.
Estimation of Elastic Wave Velocity From Logging-While-Drilling Measurement in Unconsolidated Formation of Accretionary Wedge in Nankai Trough

The logging-while-drilling (LWD) acoustic technology has been developed to measure formation velocities/slownesses for rig time saving and real-time applications such as seismic-tie, pore pressure determination, and/or deep-sea drilling exploration. The formation compression-wave velocity is often hard to determine because of the drilling environment and wave dispersion effects. We develop a new model-based dispersive processing (MDP) method to accurately determine wave slowness from the LWD acoustic data. Two specific steps are included during the MDP procedure. In the first, the effective collar parameters are determined using the collar wave from the measurements. The second step is the inversion for the wave slowness by minimizing the difference between the theoretical curve and dispersion data. We have validated the result of the MDP inversion with synthetic data testing and applied it to the acoustic LWD data of the Ocean Drilling Program (ODP) 808I hole. The applications of the corrected slowness results to synthetic seismograms and porosity prediction analyses demonstrate the effectiveness of the correction method.
Optimising Health Emergency Resource Management from Multi-Model Databases

The health care sector is one of the most sensitive sectors in our society, and it is believed that the application of specific and detailed database creation and design techniques can improve the quality of patient care. In this sense, better management of emergency resources should be achieved. The development of a methodology to manage and integrate a set of data from multiple sources into a centralised database, which ensures a high quality emergency health service, is a challenge. The high level of interrelation between all of the variables related to patient care will allow one to analyse and make the right strategic decisions about the type of care that will be needed in the future, efficiently managing the resources involved in such care. An optimised database was designed that integrated and related all aspects that directly and indirectly affected the emergency care provided in the province of Jaén (city of Jaén, Andalusia, Spain) over the last eight years. Health, social, economic, environmental, and geographical information related to each of these emergency services was stored and related. Linear and nonlinear regression algorithms were used: support vector machine (SVM) with linear kernel and generated linear model (GLM), and the nonlinear SVM with Gaussian kernel. Predictive models of emergency demand were generated with a success rate of over 90%.