Miracle-dz/UniFAR-FTUs huggingface dataset:
Effects of Wearable Fitness Trackers and Activity Adequacy Mindsets on Affect, Behavior, and Health: Longitudinal Randomized Controlled Trial

Background There is some initial evidence suggesting that mindsets about the adequacy and health consequences of one’s physical activity (activity adequacy mindsets [AAMs]) can shape physical activity behavior, health, and well-being. However, it is unknown how to leverage these mindsets using wearable technology and other interventions. Objective This research examined how wearable fitness trackers and meta-mindset interventions influence AAMs, affect, behavior, and health. Methods A total of 162 community-dwelling adults were recruited via flyers and web-based platforms (ie, Craigslist and Nextdoor; final sample size after attrition or exclusion of 45 participants). Participants received an Apple Watch (Apple Inc) to wear for 5 weeks, which was equipped with an app that recorded step count and could display a (potentially manipulated) step count on the watch face. After a baseline week of receiving no feedback about step count, participants were randomly assigned to 1 of 4 experimental groups: they received either accurate step count (reference group; 41/162, 25.3%), 40% deflated step count (40/162, 24.7%), 40% inflated step count (40/162, 24.7%), or accurate step count+a web-based meta-mindset intervention teaching participants the value of adopting more positive AAMs (41/162, 25.3%). Participants were blinded to the condition. Outcome measures were taken in the laboratory by an experimenter at the beginning and end of participation and via web-based surveys in between. Longitudinal analysis examined changes within the accurate step count condition from baseline to treatment and compared them with changes in the deflated step count, inflated step count, and meta-mindset conditions. Results Participants receiving accurate step counts perceived their activity as more adequate and healthier, adopted a healthier diet, and experienced improved mental health (Patient-Reported Outcomes Measurement Information System [PROMIS]-29) and aerobic capacity but also reduced functional health (PROMIS-29; compared with their no-step-count baseline). Participants exposed to deflated step counts perceived their activity as more inadequate; ate more unhealthily; and experienced more negative affect, reduced self-esteem and mental health, and increased blood pressure and heart rate (compared with participants receiving accurate step counts). Inflated step counts did not change AAM or most other outcomes (compared with accurate step counts). Participants receiving the meta-mindset intervention experienced improved AAM, affect, functional health, and self-reported physical activity (compared with participants receiving accurate step counts only). Actual step count did not change in either condition. Conclusions AAMs––induced by trackers or adopted deliberately––can influence affect, behavior, and health independently of actual physical activity. Trial Registration ClinicalTrials.gov NCT03939572; https://www.clinicaltrials. gov/ct2/show/NCT03939572
Dynamic in silico assessment of potential gene targets for enhancing clavulanic acid production in Streptomyces clavuligerus submerged cultures

Clavulanic acid (CA) is an antibiotic of the β-lactam class with moderate antimicrobial activity but a high inhibitory effect on β-lactamase enzymes. CA is one of the most important products of the secondary metabolism in Streptomyces clavuligerus , which is still the main industrial source of CA marketed worldwide. However, CA titers produced in submerged cultures by wild-type S. clavuligerus is characteristically low. The application of systems biology and constraint-based approaches such as the flux balance analysis (FBA) allow us to get insights into the metabolism, especially when it is coupled to a validated genome-scale model. In this study, FBA was applied for the in silico determination of potential metabolic targets aimed to increase the CA biosynthesis rate. In the metabolic network, the overexpression of N2-(2-carboxyethyl)-arginine synthase (CEAS), knockout of pyruvate kinase (PYK), and dampening of phosphoglycerate kinase showed the best flux ratio of CA biosynthesis. Then, submerged fed-batch cultivations with CEAS and PYK engineered strains were simulated by using a dynamic FBA (dFBA) for analysis of the correspondent metabolic flux distribution. The dFBA provided insights about the carbon redistribution produced by the genetic perturbations potentially increasing CA production up to 1.9 and 1.1-fold for the calculated wild-type strain (2.74 mmol.l −1 ).
Nonlinear Sturm Oscillation: from the interval to a star

The so-called Sturm oscillation property, e.g. that the $n$-th eigenfunction of a Sturm-Liouville operator on a line segment has $n -1$ zeros (nodes), has been well studied. This result is known to hold when the interval is replaced by a tree graph. We show that the solutions of the real stationary [cubic] nonlinear Schr\"odinger equation generically satisfy a nonlinear version of the Sturm oscillation property on a segment but not on star graphs. We determine conditions under which this obstruction can be assured. These conditions take the form of the existence of continuous families of solutions whose nodal count changes and we show how to explicitly compute these changes.
Modelling the Tribological Performance of Palm mid olein in Cold Forging Test using DEFORM-3D

In the past, most metal-forming lubricants used mineral oils or other hazardous compounds as their primary foundation. Due to their non-toxic and biodegradable qualities, vegetable oils have the potential to replace mineral oil as a lubricant. Palm oil's byproduct is presently being researched as a biolubricant in order to expand its market beyond cooking oil. Modeling a finite element approach is one of the excellent predictions in tribological tests, notably in metal forming processes. The purpose of this paper is to serve as a modelling the metal forming process and demonstrate the use of palm mid olein as a biolubricant. The metal forming test is essential to the understanding of materials and engineering research because of the friction, wear behaviour, and deformation it produces. Utilizing aluminum (AA1100) as a specimen, this study compared the results of using palm oil-based metal forming oil to those of using commercial metal forming oil. In order to better understand the forging process, we analyse the material flow patterns of these parts at different die stroke levels. According to the findings, the friction of both tested experiment is slightly different where in ring compression test (RCT) test palm mid olein (PMO) has a higher friction (m = 0.20 and μ = 0.0937) compare to commercial metal forming oil (CMFO) (m = 0.15 and μ = 0.075) but in closed forging test, the friction PMO has found to be lower (m = 0.39/μ = 0.159) compare to the CMFO (m = 0.42/μ = 0.1675). From the investigated result also, PMO has a potential to be utilized as a metal forming lubricant.
Association of symptomatic late-onset hypogonadism and lower urinary tract symptoms in aging males: a community-based study

Objective: Testosterone deficiency may be a risk factor for lower urinary tract symptoms (LUTS), and there may be a causal link between the emergence of LUTS and the incidence of late-onset hypogonadism (LOH). We performed an epidemiologic study to investigate the association between symptomatic late-onset hypogonadism (SLOH) and LUTS in middle-aged and elderly rural Chinese males. Methods: A total of 965 men completed a questionnaire and underwent a detailed physical examination. The Aging Males’ Symptoms (AMS) scale was used to assess SLOH, and the International Prostate Symptom Score (IPSS) questionnaire was used to assess LUTS. Serum reproductive hormone levels of testosterone, sex hormone-binding globulin (SHBG) and luteinizing hormone (LH) were measured. Results: A total of 965 males (mean age: 56.34 ± 8.85, range: 40–80 years) were recruited for the present study. A total of 20.93% (202/965) were diagnosed with SLOH. A total of 93.16% (899/965) had mild LUTS, 5.18% (50/965) had moderate LUTS, and 1.66% (16/965) had severe LUTS. Among SLOH patients, 13.40% (27/202) and 3.90% (8/202) had moderate and severe LUTS, respectively. Patients with severe LUTS had increased SHBG and LH compared with those with mild and moderate LUTS (P <0.01). Correlation analysis revealed that the AMS total score was positively correlated with the IPSS score (P <0.05). The prevalence of SLOH was significantly increased with LUTS severity. In addition to the known effect of age, the results of multiple regression analysis also showed that serum LH or SHBG appeared to have a weak link with SLOH and LUTS that requires etiological and biological clarification in our future study. Conclusion: In this cross-sectional analysis of SLOH and LUTS, LUTS severity was significantly associated with hypogonadism symptoms. Additionally, the prevalence of SLOH advanced with increasing LUTS severity. Serum SHBG or LH showed a positive correlation with SLOH and LUTS.
An Unusual Continued Fraction

We consider the real number $\sigma$ with continued fraction expansion $[a_0, a_1, a_2,\ldots] = [1,2,1,4,1,2,1,8,1,2,1,4,1,2,1,16,\ldots]$, where $a_i$ is the largest power of $2$ dividing $i+1$. We compute the irrationality measure of $\sigma^2$ and demonstrate that $\sigma^2$ (and $\sigma$) are both transcendental numbers. We also show that certain partial quotients of $\sigma^2$ grow doubly exponentially, thus confirming a conjecture of Hanna and Wilson.
The Body Status of Manganese and Activity of This Element-Dependent Mitochondrial Superoxide Dismutase in a Rat Model of Human Exposure to Cadmium and Co-Administration of Aronia melanocarpa L. Extract

The impact of a polyphenol-rich 0.1% aqueous extract from Aronia melanocarpa L. berries (AE) on the body status of manganese (Mn) and the activity of this essential element-dependent mitochondrial superoxide dismutase (MnSOD) during treatment with cadmium (Cd) was investigated in a rat model of low-level and moderate environmental human exposure to this xenobiotic (1 and 5 mg Cd/kg diet, respectively, for 3–24 months). The exposure to Cd, dose- and duration-dependently, affected the body status of Mn (apparent absorption, body retention, serum and tissue concentrations, content in some organs and total Mn body burden, and urinary and faecal excretion) and the activity of MnSOD in the mitochondria of the liver, kidney, and brain. The administration of AE during the exposure to Cd prevented or at least partially protected the animals from the perturbation of the metabolism of Mn, as well as ameliorated changes in the activity of MnSOD and the concentration of Mn and protected from Cd accumulation in the mitochondria. In conclusion, AE may protect from disorders in the body status of Mn and influence the antioxidative capacity of cells under chronic exposure to Cd. The findings confirm the protective impact of aronia berries products against Cd toxicity.
On the $x$-coordinates of Pell equations which are rep-digits

For a positive integer d which is not a square, we show that there is at most one value of the positive integer x participating in the Pell equation x − dy = 1 which is a rep-digit, that is all its base 10 digits are equal, with a few exceptions in the pairs (d, x) which we determine.
Low analytic rank implies low partition rank for tensors

A tensor defined over a finite field $\mathbb{F}$ has low analytic rank if the distribution of its values differs significantly from the uniform distribution. An order $d$ tensor has partition rank 1 if it can be written as a product of two tensors of order less than $d$, and it has partition rank at most $k$ if it can be written as a sum of $k$ tensors of partition rank 1. In this paper, we prove that if the analytic rank of an order $d$ tensor is at most $r$, then its partition rank is at most $f(r,d,|\mathbb{F}|)$. Previously, this was known with $f$ being an Ackermann-type function in $r$ and $d$ but not depending on $\mathbb{F}$. The novelty of our result is that $f$ has only tower-type dependence on its parameters. It follows from our results that a biased polynomial has low rank; there too we obtain a tower-type dependence improving the previously known Ackermann-type bound.
Plasma Levels of CXC Motif Chemokine 1 (CXCL1) and Chemokine 8 (CXCL8) as Diagnostic Biomarkers in Luminal A and B Breast Cancer

Chemokines are involved in the regulation of immune balance and in triggering an immune response. CXCL1 and CXCL8 belong to the ELR-motif-containing group of CXC chemokines, which, in breast cancer (BC), stimulate angiogenesis and increase migration and invasiveness of tumor cells. The aim of this study was to evaluate CXCL1, CXCL8 and comparative marker CA 15-3 plasma concentrations in BC patients with luminal subtypes A and B. The study group consisted of 100 patients with BC, and the control group of 50 subjects with benign breast lesions and 50 healthy women. Chemokines concentrations were determined by ELISA method; CA15-3-by CMIA. Concentrations of CXCL8 and CA15-3 were significantly higher in BC total group and luminal B (for CA15-3 also in luminal A) subtype of BC than in healthy controls and subjects with benign lesions. In the total BC group, the highest SE, PPV and NPV were observed for CXCL8 (70%, 77.78%, 50%, resp.). A combined analysis of tested chemokines with CA 15-3 increased SE and NPV values (96%, 69.23%, resp.). The diagnostic power of the test (measured by area under ROC curve (AUC)) showed the highest value for CXCL8 in the total BC group (0.6410), luminal A (0.6120) and B subgroup of BC (0.6700). For the combined parameter, the AUC was increasing and reached the highest value for CXCL1 + CXCL8 + CA15-3 combination (0.7024). In light of these results, we suggest that CXCL8 could be used as an additional diagnostic marker that would positively influence the diagnostic utility of CA 15-3, especially in luminal B subtype of BC.
GL2ℝ–invariant measures in marked strata :
generic marked points, Earle–Kra for strata and illumination

We classify GL(2,R) invariant point markings over components of strata of Abelian differentials. Such point markings exist only when the component is hyperelliptic and arise from marking Weierstrass points or two points exchanged by the hyperelliptic involution. We show that these point markings can be used to determine the holomorphic sections of the universal curve restricted to orbifold covers of subvarieties of the moduli space of Riemann surfaces that contain a Teichmuller disk. The finite blocking problem is also solved for translation surfaces with dense GL(2,R) orbit.
Majority categories

We introduce the notion of a majority category — the categorical counterpart of varieties of universal algebras admitting a majority term. This notion can be thought to capture properties of the category of lattices, in a way that parallels how Mal’tsev categories capture properties of the category of groups. Among algebraic majority categories are the categories of lattices, Boolean algebras and Heyting algebras. Many geometric categories such as the category of topological spaces, metric spaces, ordered sets, any topos, ect. , are comajority categories (i.e. their duals are majority categories), and we show that, under mild assumptions, the only categories which are both majority and comajority, are the preorders. Mal’tsev majority categories provide an alternative generalization of arithmetical categories to protoarithmetical categories in the sense of Bourn. We show that every Mal’tsev majority category is protoarithmetical, provide a counter-example for the converse implication, and show that in the Barr-exact context, the converse implication also holds. We can then conclude that a category is arithmetical if and only if it is a Barr-exact Mal’tsev majority category, recovering in the varietal context a well known result of Pixley.
The two-dimensional Centralizer Conjecture

A result by C. C. -A. Cheng, J. H. Mckay and S. S. -S. Wang says the following: Suppose the Jacobian of $A$ and $B$ is invertible in $\mathbb{C}[x,y]$ and the Jacobian of $A$ and $w$ is zero for $A,B,w \in \mathbb{C}[x,y]$. Then $w \in \mathbb{C}[A]$. We show that in CMW's result it is possible to replace $\mathbb{C}$ by any field of characteristic zero, and we conjecture the following 'two-dimensional Centralizer Conjecture over $D$': Suppose the Jacobian of $A$ and $B$ is invertible in $D[x,y]$ and the Jacobian of $A$ and $w$ is zero for $A,B,w \in D[x,y]$, $D$ is an integral domain of characteristic zero. Then $w \in D[A]$. We show that if the famous two-dimensional Jacobian Conjecture is true, then the two-dimensional Centralizer Conjecture is true.
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds

Abstract We prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of Devyver, Fraas, and Pinchover (2014), namely the associated inequality cannot be further improved. Such inequalities arise from more general, optimal ones valid for the operator $ P_{\lambda }:= -\Delta _{{\open H}^{N}} - \lambda $ where 0 ⩽ λ ⩽ λ1(ℍN) and λ1(ℍN) is the bottom of the L2 spectrum of $-\Delta _{{\open H}^{N}} $, a problem that had been studied in Berchio, Ganguly, and Grillo (2017) only for the operator $P_{\lambda _{1}({\open H}^{N})}$. A different, critical and new inequality on ℍN, locally of Hardy type is also shown. Such results have in fact greater generality since they are proved on general Cartan-Hadamard manifolds under curvature assumptions, possibly depending on the point. Existence/nonexistence of extremals for the related Hardy-Poincaré inequalities are also proved using concentration-compactness technique and a Liouville comparison theorem. As applications of our inequalities, we obtain an improved Rellich inequality and we derive a quantitative version of Heisenberg-Pauli-Weyl uncertainty principle for the operator $P_\lambda. $
User experience reevaluation and diffusion of technology in the context of compulsory usage illustrated by the example of telepsychotherapy—a literature review

Objective Models explaining technology acceptance fail to recognize the influence temporary, compulsory usage, meaning forced usage due to external factors, may have on user evaluation and continued diffusion. However, in context of the Covid-19 pandemic, a highly infectious respiratory disease, the significance of this factor is evident. Triggered by legal contact restrictions and extended reimbursement capacities, usage of telepsychotherapy increased drastically, thereby influencing therapists' attitude and increasing the technology's maturity. In this comprehensive literature review, we aim to outline the current state of research toward telepsychotherapy adoption and identify potential influences of the compulsory usage on the reevaluation of technology as well as barriers inhibiting and factors promoting future use. Methods The review was conducted on the five databases ScienceDirect, Web of Science, PubMed, PubPsych, and IEEE up to April 2022. Results Out of 685 identified references, a final selection was made of 22 papers, discussing experiences with telepsychotherapy in the context of the Covid-19 pandemic. Satisfaction and intention to use are universally high, further increasing with time and use experience, while perceived challenges decrease. Barriers include mostly contextual factors, such as technical issues, reimbursement issues, strict regulations, insufficient infrastructure, and lack of organizational support, but also concerns regarding efficacy. Promoting factors are training, guidelines, and organizational support. Conclusions Telepsychohtherapy has become an integral part of psychotherapeutic care. A hybrid system in close coordination between provider and patient may prevail, addressing individual needs of both parties to achieve optimal care and provider well-being. This requires transparent regulations, guidelines, and standards.
Biharmonic hypersurfaces with constant scalar curvature in space forms

Let $M^n$ be a biharmonic hypersurface with constant scalar curvature in a space form $\mathbb M^{n+1}(c)$. We show that $M^n$ has constant mean curvature if $c>0$ and $M^n$ is minimal if $c\leq0$, provided that the number of distinct principal curvatures is no more than 6. This partially confirms Chen's conjecture and Generalized Chen's conjecture. As a consequence, we prove that there exist no proper biharmonic hypersurfaces with constant scalar curvature in Euclidean space $\mathbb E^{n+1}$ or hyperbolic space $\mathbb H^{n+1}$ for $n<7$.
Damping oscillatory integrals by the Hessian determinant via Schr\"odinger

We consider the question of when it is possible to force a degenerate scalar oscillatory integral to decay as fast as a nondegenerate one by restricting the support to the region where the Hessian determinant of the phase is bounded below. We show in two dimensions that the desired outcome is not always possible, but does occur for a broad class of phases which may be described in terms of the Newton polygon. The estimates obtained are uniform with respect to linear perturbation of the phase and uniform in the cutoff value of the Hessian determinant. In the course of the proof, we investigate a geometrically-invariant approach to making uniform estimates of qualitatively nondegenerate oscillatory integrals. The approach illuminates a previously unknown, fundamental relationship between the asymptotics of oscillatory integrals and the Schr\"odinger equation.
Multiple patterns formation for an aggregation/diffusion predator-prey system

<p style='text-indent:20px;'>We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is described by non-local potentials that are mutually proportional by a negative constant <inline-formula><tex-math id="M1">\begin{document}$ -\alpha $\end{document}</tex-math></inline-formula>, with <inline-formula><tex-math id="M2">\begin{document}$ \alpha>0 $\end{document}</tex-math></inline-formula>. Each species is also subject to non-local self-attraction forces together with quadratic diffusion effects. The competition between the aforementioned mechanisms produce a rich asymptotic behavior, namely the formation of steady states that are composed of multiple bumps, i.e. sums of Barenblatt-type profiles. The existence of such stationary states, under some conditions on the positions of the bumps and the proportionality constant <inline-formula><tex-math id="M3">\begin{document}$ \alpha $\end{document}</tex-math></inline-formula>, is showed for small diffusion, by using the functional version of the Implicit Function Theorem. We complement our results with some numerical simulations, that suggest a large variety in the possible strategies the two species use in order to interact each other. </p>
On Enriched Fibrations.

We introduce the notion of an enriched fibration, i.e. a fibration whose total category and base category are enriched in those of a monoidal fibration in an appropriate way. Furthermore, we provide a way to obtain such a structure, starting from specific actions of monoidal categories with parametrized adjoints. The motivating goal is to capture certain example cases, like the fibration of modules over algebras being enriched in the opfibration of comodules over coalgebras.
$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group

In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The conditions encompass a very wide class of equations with isotropic growth conditions, which are a generalization of the $p$-Laplace type equations in this respect; these also include all equations with polynomial or exponential type growth. In addition, some even more general conditions have also been explored.