Miracle-dz/UniFAR-FTUs huggingface dataset:
On alternating knots

Let k be a knot in 3-sphere S. Let k be an image of the regular projection of k onto S(^S. A knot projection K is said to be alternating if and only if it is connected and, as one follows along this knot, undercrossings and overcrossings alternate^. A knot is said to be alternating if it prossesses an alternating projection. There will be, of course, nonalternating knots. In fact, the first proof of their existence was given by Bankwitz in 1930 [3]. We do not know the general method by which we can decide whether or not a given knot projection represents an alternating knot. But some good methods have been found up to present. Recently, R. H. Crowell proved the theorem (cf. Theorem (6. 5) [5]) which much improved the Bankwitz's theorem (cf. Satz, p. 145 [3]). He showed by means of this theorem that seven of eleven non-alternating projections, in the Knot Table at the end of Reidemeister's Knotentheorie [11], represent non-alternating knots. In a previous paper [9] we gave a necessary condition for a given knot to be alternating by means of its Alexander polynomial (cf. [4], [8]). In the present paper, in order to characterize the Alexander polynomial of the alternating knot, we shall assign a matrix, called the knot matrix, to an alternating knot. The relation between the knot matrix and its Alexander polynomial is expressed in Theorem 1.17 which is the fundamental theorem of the present paper. From this theorem simply follow the main theorems in [4], [7], [8], [9] (Theorem 3. 8, Theorem 3.13). Theorem 3.12 is a simple application of Theorem 1.17 and it plays a particular role in § 3.
Capacitive Sensors for Multiphase Flow Measurement: A Review

Capacitive sensors are found in numerous applications, and they are capable of sensing several parameters. Multiphase flows occur in many industrial processes that require proper monitoring to improve the efficiency and safety of plants and equipment. Detailed (high-resolution) flow information is required from dedicated flow experiments at a laboratory scale to develop and validate flow modelings. In both cases, capacitive flow sensors have been applied to have a varying degree of flow detailing, e.g., from simple capacitive probes up to capacitive flow imaging and tomography. This article reviews the different capacitive sensors applied to multiphase flow measurement and imaging. Operating principles, sensor geometries, and capacitive measuring circuits are presented and discussed along with advantages and disadvantages, focusing on flow applications and possible flow parameters yielded from sensors. Some new trends in capacitive flow sensors are also presented.
Pathological Tendon Histology in Early and Chronic Human Patellar Tendinopathy

The present pilot study investigated the extent of histological tissue changes in both chronic tendinopathy and in individuals that display early clinical signs of tendinopathy. The study included 8 individuals of whom 3 were healthy without any tendon symptoms, 2 had early symptoms (1–2 months), and 3 had chronic symptoms (>3 months) from their patellar tendons. Percutaneous needle biopsy samples were obtained from the affected tendon tissue region. Biopsy samples were stained with Haematoxylin & Eosin, and multiplex immunofluorescence staining was performed for markers of inflammation and resolution. Both early and chronic stage patellar tendon biopsy samples from this small patient cohort exhibited expansion of the interfascicular matrix (IFM) and endotenon regions together with increased cellularity and vascularity. These histological observations were moderate in early tendinopathy, whereas they were more pronounced and associated with marked disruption of tissue architecture in chronic tendinopathy. Early stage tendinopathic patellar tendons expressed markers associated with an activated phenotype of fibroblasts (CD90, CD34), macrophages (S100A8), and endothelial cells (ICAM1, VCAM1). These tissues also expressed enzymes implicated in inflammation (PTGS2, 15PGDH) and resolution (ALOX12) and the proresolving receptor ERV1. Immunopositive staining for these markers was predominantly located in the IFM regions. These preliminary findings suggest that mild to moderate structural histological changes including expansion of IFM and endotenon regions are pathological features of early tendinopathy, and support inflammatory and resolving processes are active in early-stage disease. Further investigation of the cellular and molecular basis of early-stage tendinopathy is required to inform therapeutic strategies that prevent the development of irreversible chronic tendon disease.
Measurement of the Inclusive Jet Cross Section in pp Collisions at sqrt(s) = 7 TeV

The inclusive jet cross section is measured in pp collisions with a center-of-mass energy of 7 TeV at the LHC using the CMS experiment. The data sample corresponds to an integrated luminosity of 34 inverse picobarns. The measurement is made for jet transverse momenta in the range 18-1100 GeV and for absolute values of rapidity less than 3. The measured cross section extends to the highest values of jet pT ever observed and, within the experimental and theoretical uncertainties, is generally in agreement with next-to-leading-order perturbative QCD predictions.
Surface and electronic structure of SmB through scanning tunneling microscopy

SmB, a so-called Kondo insulator, is recently discussed as a candidate material for a strong topological insulator. We present detailed atomically resolved topographic information on the (0 0 1) surface from more than a dozen SmB samples. Atomically flat, in situ cleaved surfaces often exhibit B- and Sm-terminated surfaces as well as reconstructed and non-reconstructed areas coexisting on different length scales. The terminations are unambiguously identified. In addition, electronic inhomogeneities are observed which likely result from the polar nature of the (0 0 1) surface and may indicate an inhomogeneous Sm valence at the surface of SmB. In addition, atomically resolved topographies on a (1 1 0) surface are discussed.
Mobile Banking Adoption among Asnaf for Efficiency in Zakat Management: Extended UTAUT2

The usage of financial technology has developed considerably in recent years. Its worldwide use in the financial sector is notable. Such as social finance, which includes zakat institutions. As a result, this research examines factors that could influence asnaf in Selangor, Malaysia, uses mobile banking for efficient zakat distribution. The Unified Theory of Acceptance and Usage of Technology (UTAUT) was employed and extended with additional components. The primary analysis used the SEM approach for the principal analysis. It was found that religiosity, intention, facilitating conditions, and habit influence the use of mobile banking for zakat distribution. Keywords: Fintech; Mobile Banking; Zakat; UTAUT eISSN: 2398-4287 © 2022. The Authors. Published for AMER ABRA cE-Bs by e-International Publishing House, Ltd., UK. This is an open access article under the CC BYNC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer–review under responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), ABRA (Association of Behavioural Researchers on Asians) and cE-Bs (Centre for Environment-Behaviour Studies), Faculty of Architecture, Planning & Surveying, Universiti Teknologi MARA, Malaysia. DOI: https://doi.org/10.21834/ebpj.v7iSI7%20(Special%20Issue). 3768
A Second Law for Higher Curvature Gravity

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald's Noether charge method are resolved. The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong. It is suggested that only the linearization of the higher-curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.
Default Semantics: Foundations of a Compositional Theory of Acts of Communication

PART I FOUNDATIONS 1. Meaning Representation: Setting the Scene 2. Default Meanings 3. Compositionality and Merger Representations PART II SOME APPLICATIONS 4. Defaults for Definite Descriptions 5. Default Semantics for Propositional Attitude Reports 6. Futurity and the English will 7. Default Semantics for Presupposition as Anaphora 8. The Myth of Sentential Connectives? 9. Default Semantics for Number Terms 10. Concluding Remarks and Future Prospects References Index
Cosmology in generalized Horndeski theories with second-order equations of motion

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background. In addition to a dark energy field $\chi$ associated with the gravitational sector, we take into account multiple scalar fields $\phi_I$ ($I=1,2\cdots,N-1$) characterized by the Lagrangians $P^{(I)}(X_I)$ with $X_I=\partial_{\mu}\phi_I\partial^{\mu}\phi_I$. These additional scalar fields can model the perfect fluids of radiation and non-relativistic matter. We derive propagation speeds of scalar and tensor perturbations as well as conditions for the absence of ghosts. The theories beyond Horndeski induce non-trivial modifications to all the propagation speeds of $N$ scalar fields, but the modifications to those for the matter fields $\phi_I$ are generally suppressed relative to that for the dark energy field $\chi$. We apply our results to the covariantized Galileon with an Einstein-Hilbert term in which partial derivatives of the Minkowski Galileon are replaced by covariant derivatives. Unlike the covariant Galileon with second-order equations of motion in general space-time, the scalar propagation speed square $c_{s1}^2$ associated with the field $\chi$ becomes negative during the matter era for late-time tracking solutions, so the two Galileon theories can be clearly distinguished at the level of linear cosmological perturbations.
Prognostic significance of HER2 status evaluation using immunohistochemistry in patients with urothelial carcinoma of the bladder: A retrospective single‑center experience

In recent years, antibody-drug conjugate (ADC) therapy targeting human epidermal growth factor receptor 2 (HER2) has been proven to be beneficial in patients with advanced urothelial carcinoma of the bladder (UCB); however, the role of HER2 in UCB remains obscure. Thus, the present retrospective single-center study was performed to evaluate the expression of HER2 in UCB and its prognostic significance. The HER2 status of 108 patients with UCB who underwent radical cystectomy was assessed using immunohistochemistry, and its association with the recurrence and survival rates of patients was analyzed. HER2 overexpression was observed in 57.4% of the patients; this was significantly associated with higher tumor grades (P=0.006) and stages (P<0.001). Kaplan-Meier analysis suggested that patients with HER2 overexpression had a shorter 5-year overall survival rate (P=0.005) and recurrence-free survival rate (P=0.003). Multivariate Cox regression analysis indicated that HER2 overexpression was a high-risk independent predictor of UCB recurrence (hazard ratio, 3.61; 95% confidence interval, 1.07-12.18; P=0.039). On the whole, these findings demonstrate that evaluating the HER2 status may improve the prediction of cancer recurrence and may thus guide the selection of patients that will benefit the most from HER2-ADC therapies.
Inflation with a constant rate of roll

We consider an inflationary scenario where the rate of inflaton roll defined by ̈ϕ/H ϕ̇ remains constant. The rate of roll is small for slow-roll inflation, while a generic rate of roll leads to the interesting case of ‘constant-roll’ inflation. We find a general exact solution for the inflaton potential required for such inflaton behaviour. In this model, due to non-slow evolution of background, the would-be decaying mode of linear scalar (curvature) perturbations may not be neglected. It can even grow for some values of the model parameter, while the other mode always remains constant. However, this always occurs for unstable solutions which are not attractors for the given potential. The most interesting particular cases of constant-roll inflation remaining viable with the most recent observational data are quadratic hilltop inflation (with cutoff) and natural inflation (with an additional negative cosmological constant). In these cases even-order slow-roll parameters approach non-negligible constants while the odd ones are asymptotically vanishing in the quasi-de Sitter regime.
THE SEARCH FOR PLANETARY MASS COMPANIONS TO FIELD BROWN DWARFS WITH HST/NICMOS

We present the results of a high-resolution spectral differential imaging survey of 12 nearby, relatively young field L dwarfs (⩽1 Gyr) carried out with the Hubble Space Telescope/NICMOS to search for planetary mass companions at small physical separations from their host. The survey resolved two brown dwarf binaries: the L dwarf system Kelu-1 AB and the newly discovered L/T transition system 2MASS 031059+164815 AB. For both systems, common proper motion has already been confirmed in follow-up observations which have been published elsewhere. The derived separations of the binaries are smaller than 6 AU and consistent with previous brown dwarf binary statistics. Their mass ratios of q ⩾ 0.8 confirm the preference for equal-mass systems similar to a large number of other surveys. Furthermore, we found tentative evidence for a companion to the L4 dwarf 2MASSW 033703−175807, straddling the brown dwarf/planetary mass boundary and revealing an uncommonly low-mass ratio system (q ≈ 0.2) compared to the vast majority of previously found brown dwarf binaries. With a derived minimum mass of 10–15 MJup a planetary nature of the secondary cannot be ruled out yet. However, it seems more likely to be a very low mass brown dwarf secondary at the border of the spectral T/Y transition regime, primarily due to its similarities to recently found very cool T dwarfs. This would make it one of the closest resolved brown dwarf binaries (0.″087 ± 0.″015, corresponding to 2.52 ± 0.44 AU at a distance of 29 pc) with the coolest (Teff ≈ 600–630 K) and least massive companion to any L or T dwarf.
Estimation of cladode area of Nopalea cochenillifera using digital images

Determination of photosynthetic area of a plant, leaf or cladode is a fundamental tool in study of transpiration intensity, specific leaf area and leaf area index. The objective of this study was to evaluate Nopalea cochenillifera (L.) Salm-Dyck). cladode area, in a non- destructive way, using digital images and test its relation with the variables: product of length and maximum width and real cladode area through regression models. The design used randomized blocks with three replicates and using the N. cochenillifera forage cactus clone, Giant Sweet. To determine the real cladode area of cactus forage, 432 cladodes in different stages of growth were randomly collected (162 primary cladodes, 127 secondary and 143 tertiary cladodes), all free from damage, disease or pest attacks. All cladodes were photographed with a digital camera (Sony Mark, model DSC-P72) generating a sample of 432 1200 x 2500 pixel digital images of N. cochenillifera cladodes. Linear, gamma and power regression models were adjusted to test the relation between the digital cladode area and the explanatory variables real cladode area and product of length by width. Models were evaluated with the following criteria: Coefficient of model determination, Akaike information criterion, sum of squares of residuals and Willmott index. The power model gave the best performance, with explanatory power higher than 99.5%, while the Willmott index exceeded 0.99. Sum of squares of residuals and Akaike information criterion had lower values. The digital cladode area of N. cochenillifera can be explained by the linear dimensions of cladodes in, and independent of, branching order. The digital cladode area (DCA) of N. cochenillifera can be explained as a function of the power model -DCA = LW0.98Sconsidering the product of length by width (LW) with explanatory variable, and by D-CA = RCA1.002considering real cladode area (RCA) with explanatory variable.
Factors impacting volunteers’ organizational commitment in a Puerto Rican non-profit organization: a psychological contract perspective

There is an interest from scholars and practitioners in understanding how nonprofit organizations (NPOs) can design and implement practices to enhance desirable volunteer attitudes and behaviors (Alfes et al., 2017). One important attitude is volunteers’ organizational commitment (OC). This research aims to identify factors that diminish volunteers’ OC and suggest effective ways to deal with them, which lead to NPOs performance improvement. This is achieved through a single case study in a Puerto Rican non-profit organization, which consists of in-depth interviews and self-administered questionnaires on psychological contract violation Five categories of factors that negatively affect volunteers’ OC were identified and analyzed: organizational structure, communication, recognition, strategic planning, and conflict management. General actions were provided to help NPOs deal with similar issues.
Analyzing The Efficacy Of Conservative Versus Surgical Treatment Of Chronic Mixed Blepharitis Via Laser Doppler Flowmetry And Interferometry

Objective — To analyze and compare the efficacy of conservative vs. surgical treatment of chronic mixed blepharitis via laser Doppler flowmetry and interferometry. Materials and methods — We enrolled 42 patients (the sample of 84 eyes) with chronic mixed blepharitis in the study. Laser Doppler flowmetry (LDF) was used to assess the microcirculation in the eyelid skin; interferometry was employed to evaluate the lipid layer of the tear film. Patients in the treatment group were treated by meibomian gland probing (MGP) and by artificial tears with a lipid component, introduced 4 times a day for 30 days. Subjects in the control group had their eyelid massaged in addition to administration of artificial tears. Treatment efficacy was monitored at 1 week, 1.5 months and 3 months. Results — MGP demonstrated a statistically significant positive effect, which persisted for 3 months after the procedure: specifically, the restoration of the tear film stability by increasing the thickness of its lipid layer by 0.27-0.5 μm. When comparing the interferoscopy results, an increase in the area of the lipid layer absence was detected in the control group. Analysis of LDF results showed a decrease in neurogenic and myogenic rhythms, as well as in the blood flow coefficient of variation in both groups. The lymph flow coefficient of variation remained stable in the treatment group, while it tended to decrease in the control group. Conclusion — The obtained data analysis on the basis of objective instrumental assessment of the eyelid morphofunctional state by the methods of interferoscopy and LDF suggested that conducting MGP was more effective in chronic mixed blepharitis treatment, compared with performing an eyelid massage.
VERY LOW-MASS STELLAR AND SUBSTELLAR COMPANIONS TO SOLAR-LIKE STARS FROM MARVELS. VI. A GIANT PLANET AND A BROWN DWARF CANDIDATE IN A CLOSE BINARY SYSTEM HD 87646

We report the detections of a giant planet (MARVELS-7b) and a brown dwarf (BD) candidate (MARVELS-7c) around the primary star in the close binary system, HD 87646. To the best of our knowledge, it is the first close binary system with more than one substellar circumprimary companion that has been discovered. The detection of this giant planet was accomplished using the first multi-object Doppler instrument (KeckET) at the Sloan Digital Sky Survey (SDSS) telescope. Subsequent radial velocity observations using the Exoplanet Tracker at the Kitt Peak National Observatory, the High Resolution Spectrograph at the Hobby Eberley telescope, the “Classic” spectrograph at the Automatic Spectroscopic Telescope at the Fairborn Observatory, and MARVELS from SDSS-III confirmed this giant planet discovery and revealed the existence of a long-period BD in this binary. HD 87646 is a close binary with a separation of ∼22 au between the two stars, estimated using the Hipparcos catalog and our newly acquired AO image from PALAO on the 200 inch Hale Telescope at Palomar. The primary star in the binary, HD 87646A, has = 5770 ± 80 K, log g = 4.1 ± 0.1, and [Fe/H] = −0.17 ± 0.08. The derived minimum masses of the two substellar companions of HD 87646A are 12.4 ± 0.7 and 57.0 ± 3.7 . The periods are 13.481 ± 0.001 days and 674 ± 4 days and the measured eccentricities are 0.05 ± 0.02 and 0.50 ± 0.02 respectively. Our dynamical simulations show that the system is stable if the binary orbit has a large semimajor axis and a low eccentricity, which can be verified with future astrometry observations.
On classical solutions in the large in time of two-dimensional Vlasov's equation

Here the unknowns are the functions f±=f±(t,xyξ) and φ=φ(t,x) where ί^0v -,9/9? ,), A,=9/3icf+3/9icH h9/3^, while denotes the inner product in JR" and α*, β^R. Physically, (1.1) describes the evolution of a rarefied plasma in self-consistent field approximation, where /* are respectively the densities of ions (+) and electrons (—) of a plasma at time t in the space of position x and velocity ξ, and φ is the potential of electric field of the plasma^ If we assume that/Ξθ, (1.1) reduces to the initial value problem to th& Liouville-Newton equation,
Outcomes of Surgical and Mechanical Thrombectomy in Massive Saddle Pulmonary Embolism: A National Perspective

Introduction Saddle pulmonary embolism (PE) is a type of central PE that involves the bifurcation of the pulmonary arteries. First-line treatment is usually systemic thrombolytics, but surgical and mechanical thrombectomy (ST and MT) are used for patients with contraindications to thrombolytics or right heart strain. This study compares surgical and mechanical thrombectomy trends and outcomes in patients with saddle PE. Methods The data was extracted from the National In-Patient Sample (NIS) from 2016-2018 using the International Classification of Diseases-10-Clinical Modification (ICD-10-CM) diagnosis codes. We used the Cochrane-Armitage trend test to analyze the trends of ST and MT and the chi-square test for statistical analyses. A two-tailed p-value of <0.05 was considered statistically significant. Results The overall trend of MT in saddle PE rose from 2016 to 2018, while ST remained stable. Around 95% of patients undergoing ST/MT were emergent admissions, with 82.5% occurring in teaching hospitals. Patients of age >65 years and more with comorbidity burdens were more likely to undergo MT over ST. In-hospital mortality after ST was 15.1%, and after MT was 11.1% (p:<0.001). The most common complications after ST were congestive heart failure (CHF) and atrial fibrillation (AF), and after MT were vascular events and CHF. Conclusion The use of mechanical thrombectomy has steadily increased during the study period. ST is more common in large/teaching hospitals, weekend admissions, and patients transferred from other facilities. MT is more common in elderly patients with a higher comorbidity burden. Patients who underwent MT had lower mortality, length of hospital stay, and post-procedural complications.