Miracle-dz/UniFAR-FTUs huggingface dataset:
The list linear arboricity of graphs

A linear forest is a forest in which every connected component is a path. The linear arboricity of a graph G is the minimum number of linear forests of G covering all edges. In 1980, Akiyama, Exoo, and Harary proposed a conjecture, known as the Linear Arboricity Conjecture (LAC), stating that every Δ ‐regular graph G has linear arboricity ⌈ Δ + 1 2 ⌉ . In 1988, Alon proved that the LAC holds asymptotically. In 1999, the list version of the LAC was raised by An and Wu, which is called the List Linear Arboricity Conjecture. In this article, we prove that the List Linear Arboricity Conjecture holds asymptotically.
The dispersion relations of dispersive Alfvén waves in superthermal plasmas

The effects of velocity distribution functions (VDFs) that exhibit a power law dependence on the high‐energy tail have been the subject of intense research by the space plasma community. Such functions, known as superthermal or kappa distributions, have been found to provide a better fitting to the VDF measured by several spacecraft in the plasma environment of the solar wind. In the literature, the general treatment for waves excited by (bi‐)Maxwellian plasmas is well established. However, for kappa distributions, either isotropic or anisotropic, the wave characteristics have been studied mostly for the limiting cases of purely parallel or perpendicular propagation. Contributions for the general case of obliquely propagating waves have been scarcely reported so far. In this work we introduce a mathematical formalism that provides expressions for the dielectric tensor components and subsequent dispersion relations for oblique propagating dispersive Alfvén waves (DAWs) resulting from a kappa VDF. We employ an isotropic distribution, but the methods used here can be easily applied to more general anisotropic distributions, such as the bi‐kappa or product‐bi‐kappa. The effect of the kappa index and thermal corrections on the dispersion relations of DAW is discussed.
Geometry of Gaussian free field sign clusters and random interlacements

For a large class of amenable transient weighted graphs $G$, we prove that the sign clusters of the Gaussian free field on $G$ fall into a regime of strong supercriticality, in which two infinite sign clusters dominate (one for each sign), and finite sign clusters are necessarily tiny, with overwhelming probability. Examples of graphs belonging to this class include regular lattices like $\mathbb{Z}^d$, for $d \geqslant 3$, but also more intricate geometries, such as Cayley graphs of suitably growing (finitely generated) non-Abelian groups, and cases in which random walks exhibit anomalous diffusive behavior, for instance various fractal graphs. As a consequence, we also show that the vacant set of random interlacements on these objects, introduced by Sznitman in arXiv:0704.2560, and which is intimately linked to the free field, contains an infinite connected component at small intensities. In particular, this result settles an open problem from arXiv:1010.1490.
Fail-Safe Ns for One- Versus Two-Tailed Tests Lead to Different Conclusions About Publication Bias

Rosenthal's (1979) Fail-Safe N (FSN) is an estimate of the number of unpublished studies (in "file drawers" of labs, p. 638) that would threaten the validity of significant combined results of a meta-analysis. However, the FSN's derivation assumes that studies targeted in a meta-analysis use 2-tailed (nondirectional) tests. When directional "Adjusted Fail-Safe Ns" (AFSNs) are calculated (derived from equations in Iyengar & Greenhouse, 1988a), very different conclusions may be drawn about the meanings of meta-analyses: In 12 of 16 meta-analyses targeting studies with directional predictions, AFSNs contradicted the FSN-based conclusion that the publication bias was negligible. A similarly conservative finding (11 of 16) was obtained with another directional fail-safe N method proposed by Darlington and Hayes (2000). A table of AFSNs is provided for 25 categories of meta-analyses for which Rosenthal and Rosnow (1984) reported FSNs: The FSN was up to 58 times larger than the AFSN.
Slow and Fast Light in Microwave Interferometers

We propose and demonstrate a method for manipulation of group velocity from slow-to-fast light (SFL) in a two-beam Mach–Zehnder interferometer in radio frequency (RF) regime. The subluminal, superluminal, and tunneling propagation regimes occur in a narrow frequency band around the resonance frequency of the interferometer where destructive interference occurs. Importantly, the group velocity at the resonance frequency can be controlled by simply adjusting the transmission magnitude of the signals from the two beams, without changing the length of the interferometer. Models that fully describe the SFL effects in the microwave interferometer system are developed and closed-form expressions for the prediction of group delays at the resonance frequency are obtained. The simple and effective method is verified through numerical calculations and experimental measurements. We also demonstrate that the proposed method applies to a microwave cavity interferometer. A proof-of-concept experiment is performed using a custom open-ended coaxial cable resonator (OE-CCR). Positive and negative group delays are experimentally measured when the resonator is set at different coupling states.
On the Stability of Type I Blow Up For the
 Energy Super Critical Heat Equation

We consider the energy super critical semilinear heat equation $$\partial_t u=\Delta u+u^{p}, \ \ x\in \mathbb R^3, \ \ p>5. $$ We first revisit the construction of radially symmetric backward self similar solutions and propose a bifurcation type argument which allows for a sharp control of the spectrum of the corresponding linearized operator in suitable weighted spaces. We then show how the sole knowledge of this spectral gap in weighted spaces implies the finite codimensional non radial stability of these solutions for smooth well localized initial data using energy bounds. The whole scheme draws a route map for the derivation of the existence and stability of self similar blow up in non radial energy super critical settings.
Comparison of Multi- and Single-Site Robotic Myomectomy Using the Da Vinci® SP Surgical System: A Propensity Score Matching Analysis

Objective: This study aimed to compare the surgical outcomes between robotic multi-site myomectomy (RMSM) and robotic single-site myomectomy (RSSM), using the da Vinci® SP surgical system and perform propensity score matching analysis to ensure inter-group comparability. Methods: This retrospective study included 105 patients who underwent either three-incision RMSM or RSSM using the da Vinci® SP surgical system. We retrospectively reviewed and compared surgical outcomes using 1:1 propensity score matching. Results: After 1:1 propensity score matching, there were no differences in the total operation time and estimated blood loss between the groups. The docking time (p < 0.0001) and duration of hospital stay (p = 0.0001) were significantly shorter in the RSSM group than in the RMSM group. Conclusions: The surgical outcomes of RSSM were comparable to those of RMSM. Moreover, compared to RMSM, RSSM using the da Vinci® SP surgical system has shorter docking and morcellation times, and duration of hospital stay.
Nonuniform Markov geometric measures

We generalize results of Fan and Zhang [5] on absolute continuity and singularity of the golden Markov geometric series to nonuniform stochastic series given by arbitrary Markov process. In addition we describe an application of these results in fractal geometry. MSC2010: 26A46, 26A30, 28A80 Key-words: Markov processes, random powers series, singularity, absolute continuity, dimension, fractals
Regularity of symbolic powers and arboricity of matroids

Abstract Let Δ be a matroid complex. In this paper, we explicitly compute the regularity of all the symbolic powers of its Stanley–Reisner ideal in terms of combinatorial data of Δ. In order to do that, we provide a sharp bound between the arboricity of Δ and the circumference of its dual Δ * {\Delta^{*}} .
Exploring the use of Online Simulations in Teaching Dialogue Skills

To aid in teaching dialogue skills a virtual simulator called Communicate! was developed at Utrecht University. Teachers can build scenarios for students to practice dialogues with a virtual character. In two experiments (n = 128 and 133, a year apart), we investigated if and how Communicate! can be an effective aid to study and practice dialogue skills, by comparing it to traditional “passive” learning tools, such as literature-study and a lecture, in an undergraduate psychology dialogue-skills course. Students were divided into four groups, two of which both read an article about conducting a bad-news dialogue and played a bad-news-dialogue-scenario (but in a different order), while the third group only played the scenario. The final group only read the article (expt. 1) or also attended a lecture on the topic (expt. 2). Playing a scenario improved performance on a different scenario played later. It increased the students’ reported engagement and motivation to learn about this topic, compared to reading the article, whereas their reported self-efficacy decreased, which may indicate a recognized learning need. It also increased the score on an MC-knowledge test on this type of dialogue. This suggests that online dialogue simulations aid studying (basic) dialogue skills, by providing flexible, authentic learning experiences.
THE IMPACT OF TAX AVOIDANCE AND AUDIT QUALITY ON TAX AMNESTY PROGRAM

Purpose this study was to examine the effect of tax avoidance and audit quality on companies participating in tax amnesty based on Law no. 11 of 2016 concerning Tax Amnesty. Data processing uses logistic regression. Results of study found that companies with high audit quality have a lower participating in tax amnesty. Regression results showed that the tax avoidance has no effect on companies participating in tax amnesty. Implication of the research is as initial information for government as a tax regulator in taking or formulating policies related to tax amnesty. One of conditions for receiving tax amnesty is companies regularly report their tax payments. Keywords: Tax Amnesty, Tax Avoidance, Audit Quality, Big Four
Turbulence in dilute polymer solutions

The work reported below is a comparative study of the properties of turbulence with weak mean flow in a Newtonian fluid and in a dilute polymer solution with an emphasis on the small scale phenomena. The main tool used is a three-dimensional particle tracking system allowing to measure and follow in a Lagrangian manner the field of velocities, as well as velocity derivatives, and thus vorticity, strain, and a variety of related and dynamically significant quantities. The comparison of data from the two flows allows to directly observe the influence of polymers on these quantities as well as the evolution of material elements in the presence of polymers.
H/sub /spl infin// control of descriptor systems with norm-bounded uncertainties in the system matrices

In this paper the H/sub /spl infin// control of high index or even non-regular linear descriptor systems with norm-bounded uncertainties in the system matrices is considered. This setup not only includes the possibility to deal with physical parameter uncertainty but also can be used to describe unknown nonlinearities provided they are bounded. The analysis of these uncertain descriptor systems within the closed loop is based on a quadratic H/sub /spl infin// performance approach. The corresponding analysis result can be re-interpreted in order to also address the controller synthesis problem. The analysis as well as the synthesis result can be stated in form of a parametrized linear matrix inequality.
Brody hyperbolicity of base spaces of certain families of varieties

We prove that quasi-projective base spaces of smooth families of minimal varieties of general type with maximal variation do not admit Zariski dense entire curves. We deduce the fact that moduli stacks of polarized varieties of this sort are Brody hyperbolic, answering a special case of a question of Viehweg and Zuo. For two-dimensional bases, we show analogous results in the more general case of families of varieties admitting a good minimal model.
On the honeycomb conjecture for Robin Laplacian eigenvalues

We prove that the optimal cluster problem for the sum/the max of the first Robin eigenvalue of the Laplacian, in the limit of a large number of convex cells, is asymptotically solved by (the Cheeger sets of) the honeycomb of regular hexagons. The same result is established for the Robin torsional rigidity. In the specific case of the max of the first Robin eigenvalue, we are able to remove the convexity assumption on the cells.
Conspiracy Theory Beliefs and Political Trust: The Moderating Role of Political Communication

A plentitude of research has analyzed citizens’ belief in conspiracy theories and its individual‐level correlates. Yet, the effects of (political) context factors on the causes and effects of individual belief in conspiracy theories are still neglected. However, such context should be especially relevant when it comes to the impact of one’s belief in conspiracy theories on one’s political preference. In this article, we argue that the communication of governmental actors exerts a moderating influence on the link leading from a belief in conspiracy theories to political attitudes. In a nutshell, the belief in conspiracy theories should make citizens less likely to distrust their government—and the political system in general—in contexts where these theories are shared or at least publicly represented by governmental actors. Using two original data sets with data from Germany, Poland, and Jordan (Study 1) and data from Germany, Poland, Sweden, and France (Study 2), we test our argument based on an overall sample of about 10,000 cases. Our results indicate that higher degrees of generic conspiracy theories beliefs are associated with higher levels of political distrust across countries. Yet, confirming our argument, such an effect takes place less strongly in those countries in which governmental actors use conspiracy theories as a political communication strategy.
Projected Stochastic Gradients for Convex Constrained Problems in Hilbert Spaces

Convergence of a projected stochastic gradient algorithm is demonstrated for convex objective functionals with convex constraint sets in Hilbert spaces. In the convex case, the sequence of iterates ${u_n}$ converges weakly to a point in the set of minimizers with probability one. In the strongly convex case, the sequence converges strongly to the unique optimum with probability one. An application to a class of PDE constrained problems with a convex objective, convex constraint and random elliptic PDE constraints is shown. Theoretical results are demonstrated numerically.
Aerobreakup in Rarefied Supersonic Gas Flows

We present new experimental results on the interfacial instabilities and breakup of Newtonian liquid drops suddenly exposed to rarefied, high-speed (Mach 3) air flows. The experimental approach allows for the first time detailed observation of interfacial phenomena and mixing throughout the breakup cycle over a wide range of Weber numbers. Key findings are that Rayleigh-Taylor instability alone is the active mechanism for freestream Weber numbers as low as 28 for low viscosity liquids and that stripping rather than piercing is the asymptotic regime as We→∞. This and other detailed visual evidence over 26<We<2,600 are uniquely suitable for testing Computational Fluid Dynamics (CFD) simulations on the way to basic understanding of aerobreakup over a broad range of conditions
Some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions

In this paper, some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions, which are super-multiplicative or super-additive, are given. These results not only generalize those of Set (2012) and Tunc (2012), but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
High-efficiency light-emitting diodes using neutral surfactants and aluminum cathode

High-efficiency polymer light-emitting diodes were fabricated by spin-coating a layer of neutral surfactant on top of the poly[2-methoxy-5-(2′-ethylhexyloxy)-1,4-phenylenevinylene] electroluminescent (EL) layer to facilitate the electron injection through the high-work-function aluminum cathode. The external luminous efficiency of the device can reach 3.59 cd/A, which is higher than the control device (1.89 cd/A) using calcium as cathode. It was found that when the combination of surfactant and aluminum was used as cathode the abundant hole-injection through a hole-transporting layer and hole pile-up at the inner side of the EL/surfactant interface causes an effective electric field to enhance electron injection.
Global MHD Modeling of the Solar Corona and Inner Heliosphere for the Whole Heliosphere Interval

In an effort to understand the three-dimensional structure of the solar corona and inner heliosphere during the Whole Heliosphere Interval (WHI), we have developed a global magnetohydrodynamics (MHD) solution for Carrington rotation (CR) 2068. Our model, which includes energy-transport processes, such as coronal heating, conduction of heat parallel to the magnetic field, radiative losses, and the effects of Alfvén waves, is capable of producing significantly better estimates of the plasma temperature and density in the corona than have been possible in the past. With such a model, we can compute emission in extreme ultraviolet (EUV) and X-ray wavelengths, as well as scattering in polarized white light. Additionally, from our heliospheric solutions, we can deduce magnetic-field and plasma parameters along specific spacecraft trajectories. In this paper, we present a general analysis of the large-scale structure of the solar corona and inner heliosphere during WHI, focusing, in particular, on i) helmet-streamer structure; ii) the location of the heliospheric current sheet; and iii) the geometry of corotating interaction regions. We also compare model results with i) EUV observations from the EIT instrument onboard SOHO; and ii) in-situ measurements made by the STEREO-A and B spacecraft. Finally, we contrast the global structure of the corona and inner heliosphere during WHI with its structure during the Whole Sun Month (WSM) interval. Overall, our model reproduces the essential features of the observations; however, many discrepancies are present. We discuss several likely causes for them and suggest how model predictions may be improved in the future.
Ageing, yielding, and rheology of nanocrystalline cellulose suspensions

This paper investigates yielding and flow of nanocrystalline cellulose (NCC) suspensions by combining rheological measurements with light scattering echo (LS-echo). The NCC samples are characterized using static and dynamic light scattering as well as polarized optical microscopy coupled with a rotational rheometer. The storage modulus of the NCC suspensions is found to increase with waiting time after shear rejuvenation. The microscopic particle rearrangements of the NCC spindles are followed by LS-echo at both short and long waiting times under oscillatory shear flow. We find that the onset of shear-induced irreversible microscopic particle rearrangements, coincide with the strain at which storage and loss moduli cross over in the nonlinear viscoelastic regime identified by the macroscopic yield point of the sample. The yielding transition is found to occur at a higher strain as the frequency of oscillation increases.
Spinors and the Weyl tensor classification in six dimensions

A spinorial approach to six-dimensional differential geometry is constructed and used to analyze tensor fields of low rank, with special attention to the Weyl tensor. We perform a study similar to the four-dimensional case, making full use of the SO(6) symmetry to uncover results not easily seen in the tensorial approach. Using spinors, we propose a classification of the Weyl tensor by reinterpreting it as a map from 3-vectors to 3-vectors. This classification is shown to be intimately related to the integrability of maximally isotropic subspaces, establishing a natural framework to generalize the Goldberg-Sachs theorem. We work in complexified spaces, showing that the results for any signature can be obtained by taking the desired real slice.
The Case for Local Collapse in the W51 Star-forming Region

We present observations of the W51 high-mass star-forming region at 86 and 110 GHz made with the Berkeley-Illinois-Maryland Association (BIMA) array. The observations include the H13CO+(J = 1 → 0), SiO(J = 2 → 1, ν = 0), SO2(81,7 → 80,8), SO2(83,5 → 92,8), 13CO(J = 1 → 0), and C18O(J = 1 → 0) lines. We compare the H13CO+(J = 1 → 0) data to earlier work and find that these data support the hypothesis that infall in the W51 region is taking place in several localized regions, each involving on the order of 100 M☉ of gas. The data do not support the hypothesis that the collapse is global, involving tens of thousands M☉ of gas. We calculate dust masses for two dense cores containing ultra-compact H II regions and find that these masses are consistent with the localized infall model, being on the order of 100 M☉. We estimate gas column densities from the observations of CO and SO2 and find them to be consistent with the other mass estimates, assuming abundances from other hot molecular cores.
Max-Min theorems for weak containment, square summable homoclinic points, and completely positive entropy

We prove a max-min theorem for weak containment in the context of algebraic actions. Namely, we show that given an algebraic action of $G$ on $X,$ there is a maximal, closed $G$-invariant subgroup $Y$ of $X$ so that the action of $G$ on $Y$ is weakly contained in a Bernoulli shift. This subgroup is also the minimal subgroup so that any action weakly contained in a Bernoulli shift is $G\curvearrowright X/Y$-ergodic "in the presence of $G\curvearrowright X$". We give several applications, including a major simplification of the proof that measure entropy equals topological entropy for principal algebraic actions whose associated convolution operator is injective. We also deduce from our techniques that algebraic actions whose square summable homoclinic group is dense have completely positive entropy when the acting group is sofic.
Sharp interface limit of a non-mass-conserving Cahn--Hilliard system with source terms and non-solenoidal Darcy flow

We study the sharp interface limit of a non-mass-conserving Cahn--Hilliard--Darcy system with the weak compactness method developed in Chen (J. Differential Geometry, 1996). The source term present in the Cahn--Hilliard component is a product of the order parameter and a prescribed function with zero spatial mean, leading to non-conservation of mass. Furthermore, the divergence of the velocity field is given by another prescribed function with zero spatial mean, which yields a coupling of the Cahn--Hilliard equation to a non-solenoidal Darcy flow. New difficulties arise in the derivation of uniform estimates due to the presence of the source terms, which can be circumvented if we consider the above specific structures. Moreover, due to the lack of mass-conservation, the analysis is valid as long as one phase does not vanish completely, leading to a local-in-time result. The sharp interface limit for a Cahn--Hilliard--Brinkman system is also discussed.