Miracle-dz/UniFAR-FTUs huggingface dataset:
A Topological Approach to Cheeger‐Gromov Universal Bounds for von Neumann ρ‐Invariants

Using deep analytic methods, Cheeger and Gromov showed that for any smooth (4k‐1)‐manifold there is a universal bound for the von Neumann L2 ρ‐invariants associated to arbitrary regular covers. We present a proof of the existence of a universal bound for topological (4k‐1)‐manifolds, using L2‐signatures of bounding 4k‐manifolds. We give explicit linear universal bounds for 3‐manifolds in terms of triangulations, Heegaard splittings, and surgery descriptions. We show that our explicit bounds are asymptotically optimal. As an application, we give new lower bounds of the complexity of 3‐manifolds that can be arbitrarily larger than previously known lower bounds. As ingredients of the proofs that seem interesting on their own, we develop a geometric construction of efficient 4‐dimensional bordisms of 3‐manifolds over a group and develop an algebraic topological notion of uniformly controlled chain homotopies. © 2016 Wiley Periodicals, Inc.
Quantum polydisk, quantum ball, and q-analog of Poincaré's theorem

The classical Poincaré theorem (1907) asserts that the polydisk n and the ball n in n are not biholomorphically equivalent for n ≥ 2. Equivalently, this means that the Fréchet algebras (n) and (n) of holomorphic functions are not topologically isomorphic. Our goal is to prove a noncommutative version of the above result. Given q ∊ \ {0}, we define two noncommutative power series algebras (n) and (n) which can be viewed as q-analogs of (n) and (n), respectively. Both (n) and (n) are the completions of the algebraic quantum affine space (n) w.r. t. certain families of seminorms. In the case where 0 < q < 1, the algebra (n) admits an equivalent definition related to L. L. Vaksman's algebra Cq() of continuous functions on the closed quantum ball. We show that both (n) and (n) can be interpreted as Fréchet algebra deformations (in a suitable sense) of (n) and (n), respectively. Our main result is that (n) and (n) are not isomorphic if n ≥ 2 and |q| = 1, but are isomorphic if |q| ≠ 1.
Markovianity criteria for quantum evolution

We characterize a class of Markovian dynamics using the concept of a divisible dynamical map. Moreover, we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a simple observation that Markovian dynamics implies monotonic behaviour of several well-known quantities such as distinguishability of states, fidelity, relative entropy and genuine entanglement measures.
Gravity particles from Warped Extra Dimensions, predictions for LHC

Warped Extra Dimension scenarios are a rich playground for phenomenology of heavy resonances at LHC. The Radion and the KK-graviton are inevitable signatures of this class of models. On face of the latest LHC experimental results on the direct searches for Beyond Standard Model physics we update the phenomenological predictions for production and decay of such resonances in its main production modes. We also highlight the phenomenology results relevant to collider searches in individual channels, and provide tools for interpretation of current and future experimental analyses using two specific benchmarks as example.
THE TRENDS HIGH-CONTRAST IMAGING SURVEY. V. DISCOVERY OF AN OLD AND COLD BENCHMARK T-DWARF ORBITING THE NEARBY G-STAR HD 19467

The nearby Sun-like star HD 19467 shows a subtle radial velocity (RV) acceleration of −1.37 ± 0.09 m s−1 yr−1 over a 16.9 yr time baseline (an RV trend), hinting at the existence of a distant orbiting companion. We have obtained high-contrast images of the star using NIRC2 at Keck Observatory and report the direct detection of the body that causes the acceleration. The companion, HD 19467 B, is ΔKs = 12.57 ± 0.09 mag fainter than its parent star (contrast ratio of 9.4 × 10−6), has blue colors J − Ks = −0.36 ± 0.14 (J − H = −0.29 ± 0.15), and is separated by ρ = 1. ″653 ± 0. ″004 (51.1 ± 1.0 AU). Follow-up astrometric measurements obtained over a 1.1 yr time baseline demonstrate physical association through common parallactic and proper motion. We calculate a firm lower-limit of for the companion mass from orbital dynamics using a combination of Doppler observations and imaging. We estimate a model-dependent mass of from a gyrochronological age of Gyr. Isochronal analysis suggests a much older age of 9 ± 1 Gyr, which corresponds to a mass of . HD 19467 B's measured colors and absolute magnitude are consistent with a late T dwarf [≈T5-T7]. We may infer a low metallicity of [Fe/H] =−0.15 ± 0.04 for the companion from its G3V parent star. HD 19467 B is the first directly imaged benchmark T dwarf found orbiting a Sun-like star with a measured RV acceleration.
Strongly representable algebras

We give a simpler proof of a result of Hodkinson in the context of a blow and blur up construction argueing that the idea at heart is similar to that adopted by Andreka et all (5). The idea is to blow up a finite structure, replacing each 'colour or atom' by infinitely many, using blurs to represent the resulting term algebra, but the blurs are not enough to blur the structure of the finite structure in the complex algebra. Then, the latter cannot be representable due to a finite- infinite contradiction. This structure can be a finite clique in a graph or a finite relation al- gebra or a finite cylindric algebra. This theme gives example of weakly representable atom structures tthat are not strongly representable. This is the essence too of construction of Monk like-algebras, one constructs graphs with finite colouring (finitely many blurs), converging to one with infinitely many, so that the original algebra is also blurred at the complex algebra level, and the term algebra is completey representable, yielding a representation of its completion the complex algebra. A reverse of this process exists in the literature, it builds algebras with infinite blurs converging to one with finite blurs. This idea due to Hirsch and Hodkinson, uses probabilistic methods of Erdos to con- struct a sequence of graphs with infinite chromatic number one that is 2 colourable. This construction, which works for both relation and cylindric algebras, further shows that the class of strongly representable atom structures is not elementary. We will generalize such a result for any class of algebras between diagonal free algebras and polyadic alge- bras with and without equality, then we further discuss possibilities for the infinite dimensional case. Finally, we suggest a very plausible equivalence, and that is: If n > 2, is finite, and A ∈ CAn is countable and atomic, then CmAtA is repre- sentable if and only if A ∈ NrnCA! We could prove one side.
A Novel Proportional Integral Controller Based Passive Cell Balancing for Battery Management System

To save mankind from the impending disaster of global warming, the transition of transport away from fossil fuels is crucial. Experimentations are going on for the development of some appropriate substitutes for fossil fuel-based vehicles, which has led to the emergence of Electric Vehicles (EVs), From the literature, it is found that the Battery Management System (BMS) is of vital concern to the researchers since the battery is one of the primary components of EV. BMS comprises the cell balancing phenomenon for balancing the battery's State of Charge (SoC) and thereby voltage levels. There are mainly two cell balancing methods, namely active and passive cell balancing methods, of which the passive method has proved to be more efficient for low-power system applications. Work has been done on conventional logic-based Passive Cell Balancing (PCB). This work focuses on introducing and implementing a Proportional Integral controller in PCB. It is executed in a MATLAB Simulink environment and the results obtained show remarkable improvement in the SoC and voltage levels of the batteries after the balancing operation compared to the previous works. Also, the balancing time required has reduced drastically, proving it to be a very effective technique for cell balancing in EVs.
Microbiota and Gut Health: Promising Prospects for Clinical Trials from Bench to Bedside

Inflammatory bowel disease (IBD) is a chronic inflammatory gastrointestinal disease characterized by weight loss, abdominal pain, and bloody diarrhea. The number of affected patients has increased in recent years. Despite the fact that scientists have been studying the pathogenesis of IBD for many years, the specific pathogenesis pathway remains unclear. As a result, none of the therapeutic approaches can cure IBD patients completely. However, the increasing research factors associated with the incidence of IBD are reasonable. These variables can be divided into two categories: microbiome-related factors (bacteria, fungi, and viruses) and nonmicrobiome-related factors (diet, gene, host immune system, gender, and ethnicity). Surprisingly, we found that all the variables impact the gut flora in IBD patients, either directly or indirectly. Dysbiosis of the gut microbiota eventually leads to an increase in the incidence of IBD. As a result, therapeutic targets focusing on correcting dysbiosis in the gut microbiome, including using probiotics and postbiotics, could become one of the most promising IBD treatments in the future. We went through each linked factor and explained how they contribute to an increased risk of IBD. We will review some existing conventional therapies for IBD before moving on to a revolutionary therapy strategy that employs prebiotics, probiotics, and postbiotics to treat IBD based on the criteria stated. Furthermore, different persons have varying reactions to the same probiotic strain. As a result, we also provide the option of having individualized probiotic medication tailored to each IBD patient.
HISTOPATHOLOGICAL AND MICROBIOLOGICAL STUDIES ON THE CRUDE EXTRACT OF PERSICARIA STAGNINA AND ITS CHIEF CONSTITUENT STAGNINOL

Histopathological studies of stagninol, a sesquiterpene isolated from Persicaria stagnina and the crude extract of this plant were carried out on Wistar rats. High dose of the crude extract caused liver necrosis but structural integrity of kidney and spleen remained intact. Low dose of the crude extract and the pure compound stagninol were found to cause no degenerative changes on those organs. Microbiological studies revealed that both the crude extract and stagninol had no inhibitory effect on the growth of a number of bacteria tested.
An analogue of Bott's theorem for Schubert varieties-related to torus semistable points

Let $G$ be a simple, simply connected algebraic group over the field of complex numbers. We give a necessary and a sufficient condition for a Schubert variety $X(\tau)$ for which all the higher cohomologies $H^{i}(X(\tau), E)$ vanish for the restriction $E$ of the tangent bundle of $G/B$ to X(\tau)$. We further show that the global sections $H^{0}(X(\tau), E)$ is the adjoint representation of $G$ when $G$ is simply laced.
Gevrey Expansions of Hypergeometric Integrals II

We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation.
DCVD-VMD Enabled Traveling Wave-Based Fault Location in Nonhomogenous AC Microgrids

Distributed generation (DG) penetration leads to bi-directional power flow which raised tangible challenges in front of power system protection engineers to maintain the sustainability of power system specially during fault conditions. This article proposes a new approach to identify the fault location in a multiterminal nonhomogenous ac microgrid. Implemented method utilizes the information of traveling waves (TW) with the help of intelligent electronic devices connected at the end terminals of the test system. Proposed approach is independent of the propagation velocity of TW for the estimation of fault. Algorithm identifies the fault section using an approach that utilizes the difference of change in voltage difference (prefault and during fault) at different buses. Then, variational mode decomposition signal processing technique is applied to TW waves captured at the fault section terminals, to estimate the fault location. This scheme is implemented on IEEE 33 bus system, modeled in electromagnetic transients including dc/power systems computer aided design (EMTDC/PSCAD), to validate the methodology. Impacts of variations in fault resistance, input noise level, and inception angle has been considered for the validation of proposed scheme. The outcome of test results indicates that the proposed method gives better performance compared to the conventional TW-based techniques.
Integral chains and Bousfield–Kan completion

Working in the Arone-Ching framework for homotopical descent, it follows that the Bousfield-Kan completion map with respect to integral homology is the unit of a derived adjunction. We prove that this derived adjunction, comparing spaces with coalgebra complexes over the associated integral homology comonad, via integral chains, can be turned into a derived equivalence by replacing spaces with the full subcategory of simply connected spaces. In particular, this provides an integral chains characterization of the homotopy type of simply connected spaces.
Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background

We study oscillating string solutions in the Klebanov-Witten and its non-Abelian T-dual background dualised along an SU(2) isometry. We find the string energy as the function of oscillation number and angular momentum. We show that for a particular set of T-dual co-ordinates both the background have equal string states. We also study the string states where the strings are expanding and contracting in the T-dual co-ordinate direction. We expect the presence of the superconformal field theory dual operators whose anomalous dimensions depend on T-dual co-ordinate.
Cryptotanshinone Attenuates Oxygen-Glucose Deprivation/ Recovery-Induced Injury in an in vitro Model of Neurovascular Unit

Cryptotanshinone (CTs), an active component isolated from the root of Salvia miltiorrhiza (SM), has been shown to exert potent neuroprotective property. We here established an oxygen-glucose deprivation/recovery (OGD/R)-injured Neurovascular Unit (NVU) model in vitro to observe the neuroprotective effects of CTs on cerebral ischemia/reperfusion injury (CIRI), and explore the underlying mechanisms. CTs was observed to significantly inhibit the OGD/R-induced neuronal apoptosis, and decease the activation of Caspase-3 and the degradation of poly-ADP-ribose polymerase (PARP), as well as the increase of Bax/Bcl-2 ratio in neurons under OGD/R condition. The inhibitory effects of CTs on neuron apoptosis were associated with the blocking of mitogen-activated protein kinase (MAPK) signaling pathway. CTs also remarkably ameliorated OGD/R-induced reduction of transepithelial electrical resistance (TEER) values and the increase of transendothelial permeability coefficient (Pe) of sodium fluorescein (SF) by upregulating the expression of ZO-1, Claudin-5, and Occludin in brain microvascular endothelial cells (BMECs), which might be related to the down-regulation of matrix metalloproteinase (MMP)-9 expression. Based on these findings, CTs may play a neuroprotective role in OGD/R injure in NVU models in vitro by inhibiting cell apoptosis and alleviating the damage of blood-brain barrier (BBB).
Kerdock Codes Determine Unitary 2-Designs

The binary non-linear Kerdock codes are Gray images of ${\mathbb{Z}_4}$-linear Kerdock codes of length N =2m. We show that exponentiating $\imath = \sqrt { - 1} $ by these ${\mathbb{Z}_4}$-valued codewords produces stabilizer states, which are the common eigenvectors of maximal commutative subgroups (MCS) of the Pauli group. We use this quantum description to simplify the proof of the classical weight distribution of Kerdock codes. Next, we partition stabilizer states into N +1 mutually unbiased bases and prove that automorphisms of the Kerdock code permute the associated MCS. This automorphism group, represented as symplectic matrices, is isomorphic to the projective special linear group PSL(2,N) and forms a unitary 2-design. The design described here was originally discovered by Cleve et al. (2016), but the connection to classical codes is new. This significantly simplifies the description of the design and its translation to circuits.
Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires

Under endoscopic assumptions about $L$-packets of unitary groups, we prove the local Gan–Gross–Prasad conjecture for tempered representations of unitary groups over $p$-adic fields. Roughly, this conjecture says that branching laws for $U(n-1)\subset U(n)$ can be computed using epsilon factors.
Some implications of signature-change in cosmological models of loop quantum gravity

Signature change at high density has been obtained as a possible consequence of deformed space-time structures in models of loop quantum gravity. This article provides a conceptual discussion of implications for cosmological scenarios, based on an application of mathematical results for mixed-type partial differential equations (the Tricomi problem). While the effective equations from which signature change has been derived are shown to be locally regular and therefore reliable, the underlying theory of loop quantum gravity may face several global problems in its semiclassical solutions.
A systematic review and meta-analysis of factors influencing ImPACT concussion testing in high school and collegiate athletes with self-reported ADHD and/or LD.

OBJECTIVE Sport concussion is a common injury, and athletes with attention-deficit/hyperactivity disorder (ADHD) and/or learning disorder (LD) are at increased risk and require specialized attention in clinical settings. Although systematic reviews of the relationship between ADHD/LD and concussion are reported in the literature, these reviews do not include quantitative syntheses. Additionally, no reviews have focused on the most commonly utilized concussion assessment, Immediate Post-Concussion Assessment and Cognitive Testing (ImPACT). The current review provides an update of sport concussion assessment in athletes with ADHD and/or LD from 2000 to 2021 on these topics: baseline and postconcussion performance on ImPACT, baseline and postconcussion symptom reporting using the Postconcussion Symptom Scale, invalid baseline classification on ImPACT, and self-reported history of concussion. METHOD Meta-analyses were conducted on baseline ImPACT performance, symptom reporting, invalid baseline classification, and concussion rates. Thirty-four studies were included in systematic review and 19 were included in meta-analyses. RESULTS Decreased baseline performance was found for athletes with ADHD (trivial to small effects), LD (small-to-medium effects), and ADHD/LD (small-to-medium effects). Increased baseline symptom reporting was found for athletes with ADHD (small effect). Increased odds of invalid baseline performance (trivial effect) and self-reported concussion history (small effect) were found in ADHD. CONCLUSIONS These results provide the first quantitative synthesis of the literature in this area. It is recommended that future research further examines these topics in athletes with LD and co-occurring ADHD/LD (given the focus on ADHD), as well as the effects that all of these conditions may have on concussion recovery and return-to-play decision-making. (PsycInfo Database Record (c) 2022 APA, all rights reserved).
Helping Effects Against Curse of Dimensionality in Threshold Factor Models for Matrix Time Series

As is known, factor analysis is a popular method to reduce dimension for high-dimensional data. For matrix data, the dimension reduction can be more effectively achieved through both row and column directions. In this paper, we introduce a threshold factor models to analyze matrix-valued high-dimensional time series data. The factor loadings are allowed to switch between regimes, controlling by a threshold variable. The estimation methods for loading spaces, threshold value, and the number of factors are proposed. The asymptotic properties of these estimators are investigated. Not only the strengths of thresholding and factors, but also their interactions from different directions and different regimes play an important role on the estimation performance. When the thresholding and factors are all strong across regimes, the estimation is immune to the impact that the increase of dimension brings, which breaks the curse of dimensionality. When the thresholding in two directions and factors across regimes have different levels of strength, we show that estimators for loadings and threshold value experience 'helping' effects against the curse of dimensionality. We also discover that even when the numbers of factors are overestimated, the estimators are still consistent. The proposed methods are illustrated with both simulated and real examples.
ABUNDANCES FOR A LARGE SAMPLE OF RED GIANTS IN NGC 1851: HINTS FOR A MERGER OF TWO CLUSTERS?

We present the abundance analysis of a sample of more than 120 red giants in the globular cluster (GC) NGC 1851, based on FLAMES spectra. We find a small but detectable metallicity spread. This spread is compatible with the presence of two different groups of stars with a metallicity difference of 0.06–0.08 dex, in agreement with earlier photometric studies. If stars are divided into these two groups according to their metallicity, both components show Na–O anticorrelation (signature of a genuine GC nature) of moderate extension. The metal-poor stars are more concentrated than the metal-rich ones. We tentatively propose the hypothesis that NGC 1851 formed from a merger of two individual GCs with a slightly different Fe and α-element content and possibly an age difference up to 1 Gyr. This is also supported by number ratios of stars on the split subgiant and on the bimodal horizontal branches. The distribution of n-capture process elements in the two components also supports the idea that the enrichment must have occurred in each of the structures separately and not as a continuum of events in a single GC. The most probable explanation is that the proto-clusters formed into a (now dissolved) dwarf galaxy and later merged to produce the present GC.
Subframe resource optimization for massive machine device access in LTE networks

Synchronous massive machine device access can lead to severe congestion in the random access channel (RACH) of LTE networks. With scarce frequency resources, effective means must be developed to combat this key challenge. In this letter, the efficient allocation of frequency resources is considered as an optimization problem to be solved with a utility function. Based on this and a method of estimating the number of machine devices, an adaptive subframe allocation scheme is proposed. Numerical and simulation results verify the effectiveness of the proposed frame adaptation scheme in combating RACH congestion.