Miracle-dz/UniFAR-FTUs huggingface dataset:
Job Allocation in Large-Scale Service Systems with Affinity Relations

We consider load balancing in service systems with affinity relations between jobs and servers. Specifically, an arriving job can be allocated to a fast, primary server from a particular selection associated with this job or to a secondary server to be processed at a slower rate. Such job-server affinity relations can model network topologies based on geographical proximity, or data locality in cloud scenarios. We introduce load balancing schemes that allocate jobs to primary servers if available, and otherwise to secondary servers. A novel coupling construction is developed to obtain stability conditions and performance bounds using a coupling technique. We also conduct a fluid limit analysis for symmetric model instances, which reveals a delicate interplay between the model parameters and load balancing performance.
Systematic Review and Meta-analysis of TP53, HER2/ERBB2, KRAS, APC, and PIK3CA Genes Expression Pattern in Gastric Cancer

Background: With a global prevalence of about 10%, gastric cancer is among the most prevalent cancers. Currently, there has been an ongoing trend toward investigating genetic disruptions in different cancers because they can be used as a target-specific therapy. We aimed to systemically review some gene expression patterns in gastric cancer. Methods: The current systematic review was designed and executed in 2020. Scopus, PubMed, Cochrane Library, Google Scholar, web of knowledge, and Science Direct were searched for relevant studies. A manual search of articles (hand searching), reference exploring, checking for grey literature, and seeking expert opinion were also done. Results: In this review, 65 studies were included, and the expression pattern of HER2/ ERBB2, ER1/Erb1/EGFR, PIK3CA, APC, KRAS, ARID1A, TP53, FGFR2 and MET was investigated. TP53, APC, KRAS, and PIK3CA mutation cumulative frequency were 24.8 (I2=95.05, Q value=525.53, df=26, P<0.001), 7.2 (I2=89.79, Q value=48.99, df=5, P<0.001), 7.8 (I2=93.60, Q value=140.71, df=9, P=0.001) and 8.6 (I2=80.78, Q value=525.53, df=9, P<0.001) percent, respectively. Overexpression was investigated for HER1/ Erb1/EGFR, PIK3CA, APC, KRAS, ARID1A, TP53, CCND1, FGFR2, MET and MYC. The frequency of TP53 and HER2/ERBB2 were 43.1 (I2=84.06, Q value=58.09, df=9, P<0.001) and 20.8 (I2=93.61, Q value=234.89, df=15, P<0.001) percent, respectively. Conclusion: More research is encouraged to investigate the genes for which we could not perform a meta-analysis.
The Impact of digital human resource management practices on professional capital: analytical research in the Iraqi ministry of labor and social affairs

The research aims to demonstrate the impact of digital human resources management practices on professional capital in the ministry, the research sample, and to diagnose and explain the relationship between the research variables and their dimensions. And for the purpose of reaching the results, the descriptive analytical method was used in presenting and interpreting the research information. And the Iraqi Social Affairs, which numbered (578), and the sample of the research was (231), which was determined based on the Thompson equation, where (240) questionnaires were distributed and (235) were retrieved from them, and the good ones (231) represented the research sample. The statistical analysis of the research concluded a number of results, the most prominent of which was the presence of a significant effect of the practices of digital human resources management in professional capital, and this indicates that the practices of digital human resources management have an effective and influential role in achieving professional capital, that is, whenever the Ministry of Labor seeks And social affairs to the application of digital human resource management practices, this will constitute a major and effective factor in achieving professional capital.
Formation and evolution of the two 4/3 resonant giants planets in HD 200964

It has been suggested that HD 200964 is the first exoplanetary system with two Jovian planets evolving in the 4/3 mean- motion resonance. Previous scenarios to simulate the formation of two giant planets in the stable 4/3 resonance configuration have failed. Moreover, the orbital parameters available in the literature point out an unstable configuration of the planetary pair. The purpose of this paper is i) to determine the orbits of the planets from the RV measurements and update the value of the stellar mass (1.57 M), ii) to analyse the stability of the planetary evolution in the vicinity and inside the 4/3 MMR, and iii) to elaborate a possible scenario for the formation of systems in the 4/3 MMR. The results of the formation simulations are able to very closely reproduce the 4/3 resonant dynamics of the best-fit config- uration obtained in this paper. Moreover, the confidence interval of the fit matches well with the very narrow stable region of the 4/3 mean-motion resonance. The formation process of the HD 200964 system is very sensitive to the planetary masses and protoplanetary disk parameters. Only a thin, flat disk allows the embryo-sized planets to reach the 4/3 resonant configuration. The stable evolution of the resonant planets is also sensitive to the mass of the central star, because of overlapping high-order resonances inside the 4/3 resonance. Regardless of the very narrow domain of stable motion, the confidence interval of our fit closely matches the stability area.
Identification and remediation of science misconceptions in elementary school teachers using the P2OC2R model

This study aims to identify the conceptions of elementary school science teachers on 40 science concepts that were found to have misconceptions in the field. Identification of the teacher's conception using the three tiers instrument that had been developed previously, then remediation was carried out using the P2OC2R learning model. Forty science concepts were then tested on eleven teachers. Initially the three tiers instrument was launched to the participants, then the test results were mapped in the form of a conception profile describing the distribution of respondents who understood the concept, did not understand the concept and misconceptions. The next stage, the teachers were carried out learning using P2OC2R learning with the stages of exploring the teacher's initial conception using probing questions, testing the teacher's initial conception through observation of concept examples, negotiating and confirming the conception and reflection for 40 concepts. Furthermore, respondents were tested again using three tiers instruments. The results showed that there had been a change in conception from not understanding the concept and misconceptions to understanding the concept reaching 75.5%. The implication of this research is the action to remediate misconceptions because this research has been able to find the reliability and effectiveness of P2OC2R.Abstrak Penelitian ini bertujuan untuk mengidentifikasi konsepsi guru IPA SD pada 40 konsep IPA yang ditemukan miskonsepsi di lapangan. Identifikasi konsepsi guru menggunakan instrumen three tiers yang telah dikembangkan sebelumnya, kemudian dilakukan remediasi dengan menggunakan model pembelajaran P2OC2R. Empat puluh konsep IPA kemudian diujicobakan pada sebelas guru. Awalnya instrumen three tiers diluncurkan kepada peserta, kemudian hasil tes dipetakan dalam bentuk profil konsepsi yang menggambarkan sebaran responden yang paham konsep, tidak paham konsep dan miskonsepsi. Tahap selanjutnya guru melaksanakan pembelajaran menggunakan pembelajaran P2OC2R dengan tahapan menggali konsepsi awal guru menggunakan pertanyaan probing, menguji konsepsi awal guru melalui observasi contoh konsep, negosiasi dan konfirmasi konsepsi serta refleksi untuk 40 konsep. Selanjutnya responden diuji kembali dengan menggunakan instrumen three tiers. Hasil penelitian menunjukkan bahwa telah terjadi perubahan konsepsi dari tidak memahami konsep dan miskonsepsi menjadi memahami konsep mencapai 75,5%. Implikasi dari hasil penelitian ini adalah adanya kemudahan dalam melakukan remediasi miskonsepsi dengan adanya model remediasi yang disebut Model P2OC2R.
Conditioned Martingales

It is well known that upward conditioned Brownian motion is a three-dimensional Bessel process, and that a downward conditioned Bessel process is a Brownian motion. We give a simple proof for this result, which generalizes to any continuous local martingale and clariﬁes the role of ﬁnite versus inﬁnite time in this setting. As a consequence, we can describe the law of regular diﬀusions that are conditioned upward or downward.
Aspects g\'eom\'etriques et int\'egrables des mod\`eles de matrices al\'eatoires

This thesis deals with the geometric and integrable aspects associated with random matrix models. Its purpose is to provide various applications of random matrix theory, from algebraic geometry to partial differential equations of integrable systems. The variety of these applications shows why matrix models are important from a mathematical point of view. First, the thesis will focus on the study of the merging of two intervals of the eigenvalues density near a singular point. Specifically, we will show why this special limit gives universal equations from the Painlev\'e II hierarchy of integrable systems theory. Then, following the approach of (bi) orthogonal polynomials introduced by Mehta to compute partition functions, we will find Riemann-Hilbert and isomonodromic problems connected to matrix models, making the link with the theory of Jimbo, Miwa and Ueno. In particular, we will describe how the hermitian two-matrix models provide a degenerate case of Jimbo-Miwa-Ueno's theory that we will generalize in this context. Furthermore, the loop equations method, with its central notions of spectral curve and topological expansion, will lead to the symplectic invariants of algebraic geometry recently proposed by Eynard and Orantin. This last point will be generalized to the case of non-hermitian matrix models (arbitrary $\beta$) paving the way to "quantum algebraic geometry" and to the generalization of symplectic invariants to "quantum curves". Finally, this set up will be applied to combinatorics in the context of topological string theory, with the explicit computation of an hermitian random matrix model enumerating the Gromov-Witten invariants of a toric Calabi-Yau threefold.
Extragalactic gamma‐ray signal from dark matter annihilation: a power spectrum based computation

We revisit the computation of the extragalactic gamma-ray signal from cosmological dark matter annihilations. The prediction of this signal is notoriously model-dependent, due to different descriptions of the clumpiness of the dark matter distribution at small scales, responsible for an enhancement with respect to the smoothly distributed case. We show how a direct computation of this ‘flux multiplier’ in terms of the non-linear power spectrum offers a conceptually simpler approach and may ease some problems, such as the extrapolation issue. In fact, very simple analytical recipes to construct the power spectrum yield results similar to the popular Halo Model expectations, with a straightforward alternative estimate of errors. For this specific application, one also obviates the need of identifying (often literature-dependent) concepts entering the Halo Model, to compare different simulations.
Inpainting in discrete Sobolev spaces: structural information for uncertainty reduction

In this article, we introduce a new mathematical functional whose minimization determines the quality of the solution for the exemplar-based inpainting-by-patch problem. The new functional expression includes finite difference terms in a similar fashion to what happens in the theoretical Sobolev spaces: its use reduces the uncertainty in the choice of the most suitable values for each point to inpaint. Moreover, we introduce a probabilistic model by which we prove that the usual principal directions, generally employed for continuous problems, are not enough to achieve consistent reconstructions in the discrete inpainting asset. Finally, we formalize a new priority index and new rules for its dynamic update. The quality of the reconstructions, achieved using a reduced neighborhood size of more than 95% with respect to the current state-of-the-art algorithms based on the same inpainting approach, further provides the experimental validation of the method.
The Hirota equation over finite fields: algebro-geometric approach and multisoliton solutions

We consider the Hirota equation (the discrete analogue of the generalized Toda system) over a finite field. We present the general algebro-geometric method of construction of solutions of the equation. As an example we construct analogues of the multisoliton solutions for which the wavefunctions and the τ-function can be found using rational functions. Within the class of multisoliton solutions we isolate generalized breather-type solutions which have no direct counterparts in the complex field case.
The continuum intensity as a function of magnetic field - I. Active region and quiet Sun magnetic elements

Context. Small-scale magnetic fields are major contributors to the solar irradiance variations. Hence, the continuum intensity contrast of magnetic elements in the quiet Sun (QS) network and in active region (AR) plage is an essential quantity that needs to be measured reliably. Aims. By using Hinode/SP disk center data at a constant, high spatial resolution, we aim at updating results of earlier ground-based studies of contrast vs. magnetogram signal, and to look for systematic differences between AR plages and QS network. Methods. The field strength, filling factor and inclination of the field was retrieved by means of a Milne-Eddington inversion (VFISV code). As in earlier studies, we then performed a pixel-by-pixel study of 630.2 nm continuum contrast vs. apparent (i.e. averaged over a pixel) longitudinal magnetic field over large fields of view in ARs and in the QS. Results. The continuum contrast of magnetic elements reaches larger values in the QS (on average 3.7%) than in ARs (on average 1.3%). This could not be attributed to any systematic difference in the chosen contrast references, so that it mainly reflects an intrinsic brightness difference. The larger contrasts in the QS are in agreement with earlier, lower resolution results, although our values are larger due to our better spatial resolution. At Hinode’s spatial resolution, moreover, the relationship between contrast and apparent longitudinal field strength exhibits a peak at around 700 G in both the QS and ARs, whereas earlier lower resolution studies only found a peak in the QS and a monotonic decrease in ARs. We attribute this discrepancy both to our careful removal of the pores and their close surroundings affected by the telescope diffraction, as well as to the enhanced spatial resolution and very low scattered light of the Hinode Solar Optical Telescope. We verified that the magnetic elements producing the peak in the contrast curve are rather vertical in the AR and in the QS, so that the larger contrasts in the QS cannot be explained by larger inclinations, as had been proposed earlier. The opposite polarities in ARs do not exhibit any noticeable difference in inclination either, although they reach different contrasts when the amount of flux is significantly unbalanced between the polarities. Conclusions. According to our inversions, the magnetic elements producing the peak of the contrast curves have similar properties (field strength, inclination, filling factor) in ARs and in the QS, so that the larger brightness of magnetic elements in the QS remains unexplained. Indirect evidence suggests that the contrast difference is not primarily due to any difference in average size of the magnetic elements. A possible explanation lies in the different efficiencies of convective energy transport in the QS and in ARs, which will be the topic of a second paper.
On the Representation Theory of Deformation Quantization

In this contribution to the proceedings of the 68eme Rencontre entre Physiciens Theoriciens et Mathematiciens on Deformation Quantization I shall report on some recent joint work with Henrique Bursztyn on the representation theory of *-algebras arising from deformation quantization as I presented this in my talk.
Exceptional Moufang quadrangles and structurable algebras

In 2000, J. Tits and R. Weiss classified all Moufang spherical buildings of rank 2, also known as Moufang polygons. The hardest case in the classification consists of the Moufang quadrangles. They fall into different families, each of which can be described by an appropriate algebraic structure. For the exceptional quadrangles, this description is intricate and involves many different maps that are defined ad hoc and lack a proper explanation.
Strong Purcell effect observed in single thick-shell CdSe/CdS nanocrystals coupled to localized surface plasmons

High quality factor dielectric cavities designed to a nanoscale accuracy are mostly used to increase the spontaneous emission rate of a single emitter. Here we show that the coupling, at room temperature, between thick shell CdSe/CdS nanocrystals and random metallic films offers a very promising alternative approach. Optical modes confined at the nanoscale induce strong Purcell factors reaching values as high as 60. Moreover the quantum emission properties can be tailored: strong antibunching or radiative biexcitonic cascades can be obtained with high photon collection efficiency and extremely reduced blinking.
The dependence of galaxy group star formation rates and metallicities on large‐scale environment

We construct a sample of 75,863 star forming galaxies with robust metallicity and star formation rate measurements from the Sloan Digital Sky Survey Data Release 7 (SDSS DR7), from which we select a clean sample of compact group (CG) galaxies. The CGs are defined to be close configurations of at least 4 galaxies that are otherwise apparently isolated. Our selection results in a sample of 112 spectroscopically identified compact group galaxies, which can be further divided into groups that are either embedded within a larger structure, such as a cluster or large group, or truly isolated systems. The compact groups then serve as a probe into the influence of large scale environment on a galaxy’s evolution, while keeping the local density fixed at high values. We find that the star formation rates (SFRs) of star forming galaxies in compact groups are significantly di erent between isolated and embedded systems. Galaxies in isolated systems show significantly enhanced SFR, relative to a control sample matched in mass and redshift, a trend not seen in the embedded systems. Galaxies in isolated systems exhibit a median SFR enhancement at fixed stellar mass of +0:07 0:03 dex. These dependences on large scale environment are small in magnitude relative to the apparent influence of local scale e ects found in previous studies, but the significance of the di erence in SFRs between our two samples constrains the e ect of large scale environment to be non-zero. We find no significant change in the gas-phase interstellar metallicity for either the isolated or embedded compact group sample relative to their controls. However, simulated samples that include artificial o sets indicate that we are only sensitive to metallicity changes of log O/H >0.13 dex (at 99% confidence), which is considerably larger than the typical metallicity di erences seen in previous environmental studies.
Orbit structure of interval exchange transformations with flip

A sharp bound on the number of invariant components of an interval exchange transformation (IET) is provided. More precisely, it is proved that the number of periodic components nper and the number of minimal components nmin of an interval exchange transformation of n intervals satisfy nper + 2 nmin ⩽ n. Moreover, it is shown that almost all IETs are typical, that is, all have stable periodic components and all the minimal components are robust (i.e. persistent under almost all small perturbations). Finally, we find all the possible values for the integer vector (nper, nmin) for all typical IET of n intervals.
Mesures et équidistribution sur les espaces de Berkovich

Abstract 1. Introduction Soit F un corps de nombres et soit X un F-schéma projectif lisse. Soit v une place de F et soit K le complété de F en v, soit le complété d'une clôture algébrique de K. On supposera fixé un plongement d'une clôture algébrique de F dans .
A direct method for solving optimal stopping problems for Lévy processes

We propose an alternative approach for solving a number of well-studied optimal stopping problems for L\'evy processes. Instead of the usual method of guess-and-verify based on martingale properties of the value function, we suggest a more direct method by showing that the general theory of optimal stopping for strong Markov processes together with some elementary observations imply that the stopping set must be of a certain form for the optimal stopping problems we consider. The independence of increments and the strong Markov property of L\'evy processes then allow us to use straightforward optimisation over a real-valued parameter to determine this stopping set. We illustrate this approach by applying it to the McKean optimal stopping problem (American put), the Novikov--Shiryaev optimal stopping problem and the Shepp--Shiryaev optimal stopping problem (Russian option).
Stabilizers of actions of lattices in products of groups

We prove that any ergodic non-atomic probability-preserving action of an irreducible lattice in a semisimple group, with at least one factor being connected and of higher-rank, is essentially free. This generalizes the result of Stuck and Zimmer [Stabilizers for ergodic actions of higher rank semisimple groups. Ann. of Math. (2) 139(3) (1994), 723–747], who found that the same statement holds when the ambient group is a semisimple real Lie group and every simple factor is of higher-rank. We also prove a generalization of a result of Bader and Shalom [Factor and normal subgroup theorems for lattices in products of groups. Invent. Math. 163(2) (2006), 415–454] by showing that any probability-preserving action of a product of simple groups, with at least one having property $(T)$ , which is ergodic for each simple subgroup, is either essentially free or essentially transitive. Our method involves the study of relatively contractive maps and the Howe–Moore property, rather than relying on algebraic properties of semisimple groups and Poisson boundaries, and introduces a generalization of the ergodic decomposition to invariant random subgroups, which is of independent interest.