Miracle-dz/UniFAR-FTUs huggingface dataset:
Behaviors of the energy of solutions of two coupled wave equations with nonlinear damping on a compact manifold with boundary

In this paper we study the behaviors of the the energy of solutions of coupled wave equations on a compact manifold with boundary in the case of indirect nonlinear damping . Only one of the two equations is directly damped by a localized nonlinear damping term. Under geometric conditions on both the coupling and the damping regions we prove that the rate of decay of the energy of smooth solutions of the system is determined from a first order differential equation .
Infinite dimensional GIT and moment maps in differential geometry

The starting point of this thesis is the following observation of Atiyah and Bott [4]: The curvature of a connection on a bundle over a surface can be understood as a moment map for the action of the gauge group. Moreover, the moduli space of flat connections, or more generally of Yang–Mills connections, is closely related to the moduli space of holomorphic bundles obtained from geometric invariant theory. We discuss the various implications of this observation to the Yang–Mills equations and the symplectic vortex equations over Riemann surfaces. As main results, we obtain the analogue of the Ness uniqueness theorem, the Kempf-Ness theorem, the HilbertMumford criterion and the moment-weight inequality in both settings. The main technical ingredients are long-time existence and convergence of the Yang–Mills and the Yang–Mills–Higgs heat flow. These are the parabolic flows associated to the corresponding moment map squared functionals in both setups. Donaldson introduced in [35, 38] various extensions of the Atiyah–Bott picture to actions of the diffeomorphism group. We begin with a self-contained exposition of his moment map framework in [38] and its applications to Teichmüller theory. This is the starting point for the following three projects, discussed in the remainder of this thesis. The first one generalizes Donaldson’s construction of Teichmüller space to the moduli spaces of tuples of holomorphic differentials of mixed degree. These moduli spaces are closely related to Hitchin’s higher Teichmüller components [59]. A distant hope is, that this might lead to a new construction of the Hitchin component using the diffeomorphism group instead of the gauge group. The second project is joint work with Dietmar Salamon and Oscar Garćıa-Prada. We show that the Ricci form yields a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This yields an extended Weil–Petersson symplectic form on the Calabi–Yau Teichmüller space of isotopy classes of complex structures with first Chern class zero and nonempty Kähler cone. The third project is joint work with Oscar Garćıa-Prada, Luis Álvarez-Consul and Mario Garcia-Fernandez. We investigate variants of the Hitchin equations [58] where the complex structure is not fixed and the gauge group is extended by the Hamiltonian diffeomorphism group. This leads to moduli spaces which naturally fiber over Teichmüller space with fibre being the corresponding Hitchin moduli space.
On some visualizations at different levels of mathematics teaching

Different perception types of pupils demand different approaches from the teacher.Some identities, statements, exercises, definitions and even theorems can be considered from the visual or geometrical aspect, not just by algebraicmethods. In the artice we consider some secondary school and college examples of well done geometric and visual illustrations. Some of them could be represented as computer animations.
Association of Dietary Inflammation Index and Helicobacter pylori Immunoglobulin G Seropositivity in US Adults: A Population-Based Study

Background Dietary patterns play important role in Helicobacter pylori (H. pylori) infection. We aimed to investigate the potential relationship between Dietary Inflammation Index (DII) and H. pylori infection in US adults. Methods This cross-sectional study was based on National Health and Nutrition Examination Survey (1999–2000). Individuals aged ≥20 years who provided a 24 hr dietary intake history and underwent H. pylori testing were included in the analysis. Multivariate weighted logistic regression analysis, smooth curve fitting, and subgroup analysis were used to investigate the relationship between DII and H. pylori infection. Subgroup analyses were based on demographic and clinical variables. Results There were 4,000 individuals enrolled in our final analysis. The overall mean age was 45.92 years and 46.77% were males. The overall prevalence of H. pylori infection in the study population was 45.9%. The smooth curve fitting analysis indicated a near-linear relationship between DII and H. pylori. In multivariate weighted logistic regression analysis, the odds ratio (OR) of DII is 1.17 (95% confidence interval (CI), 1.09–1.27) for H. pylori infection. In subgroup analysis, DII still increased the risk of H. pylori infection independently. Conclusions The increased DII levels were associated with an increased risk of H. pylori infection among US adults. Further studies are needed to elucidate the exact mechanisms of DII and H. pylori infection.
Erosion‐Driven Isostatic Flow and Crustal Diapirism: Analytical and Numerical Models With Implications for the Evolution of the Eastern Himalayan Syntaxis, Southern Tibet

The Eastern Himalayan Syntaxis (EHS) is one of the fastest exhuming regions on Earth since ∼10 Ma, and the mechanism of its fast exhumation is under debate. Different from many other studies based on tectonics‐driven models, we performed analytical analysis and numerical simulations to investigate an erosion‐driven system. Our results show that fast and focused surface erosion alone is able to exhume the lower crust on the timescale of ∼10 Myr. This process leads to the formation of a domal structure, an elevated geothermal gradient, rapid cooling of crustal rocks, and decompression melting in the lower crust. In the upper‐mid crust, the uplift of crustal rocks is caused by isostatic flow driven by pressure gradient, whose rate is limited by the driving erosional forcing. In the mid‐lower crust where decompression melting occurs, rocks entrained in a buoyant diapir experience fast uplift rate exceeding the erosional forcing. Our erosion‐driven model demonstrates an intricate coupling between surface erosion and crustal processes. Positive feedback between surface erosion and rock uplift is possible under certain conditions and crustal diapirism plays a key role in the feedback. Our study shows that both isostatic and diapiric flows play important roles in the uplift and exhumation of crustal rocks in the EHS. We highlight that erosion‐driven crustal diapirism can be one of the missing pieces explaining the evolution of the Eastern Himalayan Syntaxis.
Effect of land use system and altitude on carbon stability in naturally occurring clay-organic complex in soils of Arunachal Pradesh in the Eastern Himalaya, India

ABSTRACT This study assessed the effect of land use systems (rice-fallow, bamboo, mandarin and forest) along an altitude gradient (<500, 500–1000 and > 1000 m asl) and soil depth (0–15, 15–30 and 30–45 cm) on C stability in naturally occurring clay-organic complex (NOCOC) and their relationship with soil properties. The C stability in NOCOC (1/k) was determined from desorption rate constant (k) of humus-C by sequential extraction and was correlated with soil properties across the altitude. The C stability in NOCOC decreased (34%) with increasing soil depth from 0–15 to 30–45 cm. Across the altitudes, highest C stability in NOCOC was at > 1000 m asl (8.37 h) which was 12.7 and 9.4% higher than 500–1000 and < 500 m asl, respectively. Irrespective of soil depth and altitude, forest (5.30 h) showed the greatest C stability in NOCOC followed by mandarin (4.64 h), bamboo (4.20 h) and rice-fallow (3.85 h). Measurable soil properties could explain 90–94% variability of C stability in NOCOC across the altitude. Furthermore, C stability in NOCOC increased macroaggregate formation (0.25 mm) and ensured greater physical, chemical and microbial protection of organic C in soil.
IN SILICO DESIGN OF B-CELL EPITOPE BASED PEPTIDE VACCINE FOR VARICELLA ZOSTER VIRUS

More than 90% of the world's population has the varicella zoster virus (VZV) or better known as herpes zoster (snakepox/shingles) when they are exposed to chickenpox as children. The majority of children infected with chickenpox will recover. However, this virus can "sleep" for decades in the body and one-third of people with this virus can suddenly become active again in the form of herpes zoster or shingles. Herpes zoster or snake pox is a disease characterized by the appearance of a rash and water-filled nodules accompanied by pain on one side of the body. Herpes zoster can cause a painful rash as well as a wide spectrum of complications such as ischemic stroke which occurs when the blood supply to the brain is restricted by narrowed arteries or blocked by clots. Therefore, vaccines are needed as a preventive measure. Epitope-based peptide vaccines have advantages in terms of both selectivity and safety. The use of computational methods is a cost-effective way to develop vaccines. In this study the aim was to look at the ZVZ glycoprotein E protein sequence conservation areas using the in-silico method, to see the potential for the most immunogenic epitope of the protein sequence. Varicella zoster virus as a vaccine candidate through in-silico use. Some of the software and websites used are MEGA-X, IEDB, VaxiJen 2.0, BLASTp NCBI. Of the 7 sequences that have been collected, 3 candidate epitopes have antigenic properties and have also passed the similarity test so that they have the potential to develop peptide vaccines including: KGDLNPKPQGQ, PPATTKPKE, PAIQHICLKHTTCFQDVVVDVDCA
CFD Simulation of Solidification of non-Newtonian Fluid Flowing in a Complex Geometry Pipeline in Turbulent Flow Regime

In this CFD (Computational Fluid Dynamics) study, the turbulent flow of a non-Newtonian fluid through an industrial scale transportation pipeline is modelled in Ansys Fluent, with a focus on the fluid solidification due to heat transfer on the pipe walls. The turbulence was modelled using two different turbulence models: a standard low-Reynolds-number k-ε turbulence ChanHsieh-Chen (CHC) model and a modified Malin’s turbulence model. Simulations were performed with fluid viscosity depending both on the shear rate as well as on the temperature. However, according to the simulation results, as long as the inlet fluid velocity is maintained sufficiently high (turbulent flow), the occurrence of fluid solidification is not significantly affected by the viscosity dependence on the temperature. All turbulence models show fluid solidification on the pipe walls, and not inside the pipe itself. The standard CHC model shows more pipe wall zones that are solidified, while the modified Malin’s turbulence model shows a more diffusive behavior. The latter model has an effect on the velocity distribution across the pipeline in such a way that the fluid flow between the pipelines become more evenly distributed. The simulation results of pipe insulation and liquid flow rate, on the fluid solidification were used to give recommendations of improvements to avoid blockages in the transportation pipelines in the industrial process. According to the simulation results, the use of pipe insulation can minimize the occurrence of fluid solidification on the pipe walls.
Design of a compact dualband quasi-isotropic antenna

A dualband quasi-isotropic antenna is presented. It is based on the split-ring-resonators (SRRs), which provide a quasi-isotropic radiation pattern with an electrically small size. For the dualband operation, the SRRs are placed orthogonally to reduce the mutual coupling between the elements. A folded dipole structure is applied to the SRR, therefore, the input impedance at each band can be easily tuned. Both simulated and measured results are presented. The results show dualband operation (792 and 1124 MHz), high efficiency (higher than 86 and 85.5%), compact size (ka = 0.47 at 792 MHz), moderate gain deviation (4.42 and 5.76 dB) with simple direct feed.
Serious Side Effects of Local Anesthetics’s Absorption in Blood Stream

Local anesthesia is widely performed in healthcare field and requires attentiveness. It is noted that the absorption of local anesthetics into the bloodstream could provoke vital organ affection. Central nervous system toxicity and cardiovascular toxicity are common high risk effects with crucial consequences. Additionally, local and generalized side effects such as allergy, kidney and liver failure are also potential incidents. Cautious performance, professional training and ability for prompt intervention are considered important and pivotal in local anesthetics administration.
An Enhanced Solution for the Axial Current Using Electromagnetic Wire Scattering Analysis

this study presents a solution of electromagnetic scattering from an arbitrary oriented thin-wire excited by an incident electromagnetic plane wave by using Method of Moment (MoM). The solution for the axial current is obtained. The application of the Method of Moment (MoM) solution to the thin wire integral equation is obtained by enforcing the boundary condition on the electric field; this method inherently produces a full and dense matrix. The numerical results are performed for validation of the efficiency and accuracy of the proposed method.
Comparison of measurement of the augmentation index from ARTSENS and eTRACKING

Over past few years our group has been developing a fully automated and low-cost device, ARTSENS (ARTerial Stiffness Evaluation for Non-invasive Screening), to enable non-experts to measure arterial stiffness (AS). It uses a single element ultrasound transducer to obtain A-mode frames from a superficial artery such as the common carotid artery (CCA) and analyzes them to obtain the stiffness parameters of the vessel. We have earlier demonstrated that ARTSENS can accurately measure local arterial stiffness (LAS) and regional arterial stiffness (RAS) by tracing the distension waveforms of the CCA and the femoral artery. In this paper, we show that it is possible to estimate the augmentation index (AIx), a measure of the global arterial mechanics, from the distension waveforms obtained by ARTSENS. AIx measurements from ARTSENS are compared against the state-of-the-art Hitachi-Aloka eTRACKING system for 107 volunteers. Both devices show excellent agreement with a correlation coefficient (r) = 0.82 (p < 0.0001), which is comparable to similar studies reported in the literature. This development makes ARTSENS a unique device that can measure the three most widely used indices of arterial mechanics—LAS, RAS and the AIx.
An annually resolved chronology for the Mount Brown South ice cores, East Antarctica.

Climate reconstructions of the last millennium rely on networks of high resolution and well-dated proxy records. This study presents age-at-depth data and preliminary results from the new Mount Brown South ice cores, collected at an elevation of 2,084 metres on the boundary of Princess Elizabeth and Kaiser Wilhelm II Land in East Antarctica. We show an initial analysis of the site meteorology, mean annual chemical species concentrations, and seasonal cycles including analysis of a seasonal cycle in fluoride concentrations with a potential link to sea ice formation. The annually resolved chronologies
Nonlinear coupling control method for underactuated three-dimensional overhead crane systems under initial input constraints

In this paper, we present an enhanced coupling nonlinear control method for three-dimensional overhead crane systems under initial input constraints. The proposed control method can achieve superior control performance and strong robustness with respect to system parameter variations and external disturbances. Moreover, it guarantees ‘soft’ trolley start by introducing hyperbolic tangent functions into the controller. More precisely, we enhance the coupling behaviour between the trolley movement and the payload swing by fabricating two composite signals, based on which an energy-like storage function is established. Then, a nonlinear coupling control method under initial input constraints is derived directly. Lyapunov techniques and LaSalle’s invariance theorem are successfully adopted to find the asymptotic stability solution while satisfying the initial input constraints. Strict mathematical analysis of the control scheme with initial input constraints is provided as theoretical support for the superior performance of the controller. Simulation and experimental results are conducted to show the superior performance and strong robustness of the proposed control method.
Content of Policy and Context of Implementation in Tourism Sector: Case Bintan Regency to Handling Covid-19

This paper discusses efforts to strengthen policy implementation in handling COVID-19 in the tourism sector in Indonesia as a form of strengthening every tourism policy. This study uses the grindle concept to identify Policy Content and Implementation Context in Handling COVID-19 in the Tourism Sector of Bintan Regency. The method used is a qualitative approach including data collection techniques, observation, interviews, and documentation so that the data obtained are tested using NVivo 12 Pro, then analyzed with a triangulation approach. The results of the study indicate that the emphasis on handling COVID-19 in the tourism sector in the Regency needs to be strengthened by existing stakeholders, meaning that on the Policy Content side it consists of the interests affected, types of benefits, degree of change, location of decision making, program implementation and resources used. still focused on central regulations and rules so that local government authorities cannot initiate policy strategies for handling COVID-19 in the tourism sector in Bintan Regency. showed a good contribution in handling COVID-19 in the tourism sector in Bintan Regency.
Accelerators and Restrictors of Made-in-China COVID-19 vaccine acceptancy

This study is aimed to investigate the COVID-19 vaccine acceptancy among public, along with measuring the underlining role played by the made-in-china perception and vaccination effectiveness towards vaccination acceptance. It undertakes corona fear as a potential moderator to accelerate vaccine acceptance. Moreover, it highlights the impact of different demographic variables, including age, gender, and education on the perception towards the vaccine acceptance. A cross-sectional study was conducted that relied upon convenient and purposive sampling. Data was collected through online survey method predominantly in top-tier cities of Pakistan during the initial vaccination phase. The data was analyzed through 2-stage approach by employing Structural Equation Modeling in smart PLS 3.0. Importance Performance
Risk assessment of radioactive hazards associated with black sand upgrading processes

ABSTRACT Black sands represent a good source of economic minerals with various industrial applications. However, their radioactive properties may prevent their use in specific applications. In this study, zircon, ilmenite, magnetite, and rutile are four minerals represent more than 75% of the black sand content, were selected to evaluate their Intrinsic radiological properties. The chemical composition of these minerals was determined along with their density and particle size. Then, the activity concentrations of the naturally occurring radioactive nuclides were experimentally determined and the most important radiological hazard indices were calculated. The results indicated that the upgrading process concentrates the natural radioisotopes in some minerals like the zircon and rutile leaving the magnetite and ilmenite with lower content than permissible limits. Moreover, the risk analysis identified the dangerous conditions and situations and suggest possible solutions to reduce these hazardous situations to a minimum and to keep a safe environment for the workers.
Magnetic Effects in the Thermodynamics of the Process of Thinking

The authors have shown that the process of information and thinking can be modeled on the basis of chemical thermodynamics. The authors offer general equations to calculate the thinking of the work of judgment the L and of entropy solutions G in the presence of a magnetic field. As a result, studies have shown that the magnetic effects strongly influence the thermodynamics of the process of thinking.
Desain vaksin In Silico berdasarkan Epitope Protein Mammalian Cell Entry Associated Membrane Rv1973 untuk Tuberculosis (TBC) paru-paru

Penyakit TBC yang disebabkan oleh bakteri Mycobacterium tuberculosis masih menjadi penyakit infeksi yang berbahaya hingga saat ini. Indonesia menjadi salah satu negara yang menyumbang angka kasus TB terbanyak di dunia. Vaksin BCG yang telah digunakan selama ini juga masih memiliki kelemahan dalam pencegahan kasus infeksi TBC. Penelitian ini menyajikan desain vaksin secara in silico yang dirancang berdasarkan protein Rv1973, yang merupakan outer membrane protein dari M. tuberculosis H37Rv. Analisa dilakukan dengan tahapan sebagai berikut: prediksi struktur dan lokasi protein, pencarian kandidat epitope, analisa imunologi epitop, penentuan dan pemodelan kandidat epitope, dan interaksinya dengan reseptor sel T dan sel B, dan uji toksisitas epitop. Hasil studi in silico menunjukkan bahwa protein Rv1937 terletak pada membrane dan sebagian di sebelah luar sel. Pada protein Rv1937 terdapat beberapa epitope potensial. Protein Rv1973 memiliki lima jenis linear epitop, dengan epitop ERv105-118 terprediksi memiliki interaksi dengan reseptor sel T dan sel B tertiggi. Epitop ini terletak. Epitop ERv105-118 ini memiliki karakteristik sebagai antigen, non-alergenik, berinteraksi kuat dengan reseptor sel T dan sel B, dan non-toksik. Epitop ERv105-118 juga memiliki sifat antigenisitas, alergenisitas, dan interaksi dengan reseptor sel T dan sel B yang lebih baik dibandingkan dengan epitop dari protein ESAT-6 sebagai protein standar. Dapat disimpulkan bahwa kandidat epitop tersebut diprediksi dapat menjadi kandidat alternatif vaksin yang tepat bagi pencegahan proses infeksi TB
Wavefront control with a multi-actuator adaptive Lens in imaging applications

The use of adaptive lenses instead of deformable mirrors can simplify the implementation of an adaptive optics system. The recently introduced Multi-actuator Adaptive Lens (MAL) can be used in closed loop with a wavefront sensor to correct for time-variant wavefront aberrations. The MAL can guarantee a level of correction and a response time similar to the ones obtained with deformable mirrors. The adaptive lens is based on the use of piezoelectric actuators and, without any obstruction or electrodes in the clear aperture, can guarantee a fast response time, less than ~10ms. Our tests show that the MAL can be used both in combination with a wavefront sensor in a “classical” adaptive optics closed loop, or in a wavefront sensorless configuration. The latter has allowed us to design more compact and simple imaging systems for different microscopy platforms. We will show that the Multi-actuator Adaptive Lens has been successfully used for in-vivo OCT ophthalmic imaging in both mice and humans, as well as confocal and two photon microscopy. We tested and compared different optimization strategies such as coordinate search and the DONE algorithm. The results suggest that the MAL optimization can correct for eye aberrations with a pupil of 5mm or sample induced aberrations in microscopy.