Correction Term Research Articles

PENGARUH KONSUMSI, HARGA ECERAN DAN GROSS DOMESTIC PRODUCT (GDP) PER KAPITA TERHADAP IMPOR GULA PASIR DI INDONESIA

This research aims to determine the influence of consumption, retail prices and GDP per capita on sugar imports in Indonesia. The data used in this research is secondary data in the form of a time series for 1990-2022 obtained from the world bank and BPS (Central Statistics Agency). The data analysis method uses the Error Correction Model (ECM) approach, where the conditions for using this model are that all variables must be stationary first differences, have at least one cointegration equation and have a negative ECT (Error Correction Term) value so that the model is valid and can be used. The results show that in the short term consumption is not significant on sugar imports in Indonesia, while in the long term consumption has a negative and significant effect on sugar imports in Indonesia. The retail price variable has no effect on sugar imports in Indonesia in the short term, and in the long term retail prices have a positive and significant effect on sugar imports in Indonesia. The GDP Per Capita variable, both in the short and long term, has no effect on sugar imports in Indonesia.

Ultimate torsional moment of dry horizontal joint for prefabricated concrete tower

SummaryMore and more prefabricated steel–concrete hybrid wind turbine towers have been built because of their better lateral stiffness than those of the full steel towers, in which epoxy resin joints are commonly adopted at the horizontal joint between two ring units for improving the erection speed. In fact, epoxy resin joints are designed in the same way as dry joints due to the very thin thickness of epoxy resin layer, in which epoxy resin only acts as a leveling blanket and sealer for jointing and compensates for the unevenness of the contact surface between two ring units. The current design method for the resistance to torsional moment at the horizontal joint is not reasonable because of the unreasonable assumption of Saint‐Venant's torsional theory. The integral expressions of the ultimate torsional moment at the horizontal joint with and without shear force are derived, respectively. The solution of the integral expressions for the ultimate torsional moment is realized by Python programming. The refined finite element analyses of two cases are compared with the existing small‐scale tests with segmental aluminum tubes, which verifies the calculation accuracy of the proposed integral method. In the modified integral model of the ultimate torsional moment, a correction term of the resistance to torsional moment and a more suitable distribution of shear stress under the action of horizontal shear force are proposed to obtain a more accurate ultimate torsional moment. Finally, 36 sets of cases with typical dimensions and axial forces in practical engineering are analyzed by the proposed integral model in the absence of horizontal shear force. One six‐parameter model for calculating the ultimate torsional moment is fitted by the least square method. A discount factor is proposed to consider the influence of the horizontal shear force on the ultimate torsional moment.

Study of the physical properties of the Li2CuO2 compound

In this paper, we investigate the electronic, thermodynamic, Elastic and optical properties of the compound Li2CuO2 by using the density functional theory (DFT) under the Hubbard correction term U. Such approach allows us to gain an in-depth apprehension of the band structure, density of states, as well as the specific optical properties of compound Li2CuO2. Our results revealed that the studied material Li2CuO2 displays energy band gap values of 2.008 eV for the up spin structure and 1.582 eV for the down spin structure. In particular, the indirect bandgap is situated at the Γ point of the valence band maximum (VBM) and the M point of the conduction band minimum (CBM) points of the Brillouin zone. Moreover, we carried out a more precise analysis of the optical properties of the Li2CuO2 compound, including the dielectric function, absorption coefficient, conductivity, and extinction coefficient. These parameters give essential informations for evaluating the optical behavior of the Li2CuO2 in different practical applications. In particular, we have also investigated the thermodynamic properties of the studied compound, such as the heat capacity and the Debye temperature. This contributes to a better understanding of the compound's thermal behavior. We believe that our findings are of crucial importance in evaluating the material's stability and reactivity under various thermal circumstances.

A systematic DFT study of structure and electronic properties of titanium dioxide.

DFT functionals are of paramount importance for an accurate electronic and structural description of transition metal systems. In this work, a systematic analysis using some well-known and commonly used DFT functionals is performed. A comparison of the structural and energetic parameters calculated with the available experimental data is made in order to find the adequate functional for an accurate description of the TiO2 bulk and surface of both anatase and rutile structures. In the absence of experimental data on the surface energy, the theoretical predictions obtained using the high-accuracy HSE06 functional were used as a reference to compare against the surface energy values calculated with the other DFT functionals. A clear improvement in the electronic description of both anatase and rutile was observed by introducing the Hubbard U correction term to PBE, PW91, and OptPBE functionals. The OptPBE-U4 functional was found to offer a good compromise between accurately describing the structural and electronic properties of titania.

A modified Lorentz force law for point-like charged particles in classical electrodynamics

In classical electrodynamics, the well-known Lorentz force law falls short of providing a satisfactory result for the trajectory of point-like charged particles when considering that particle’s own self-force. While there have been many historical attempts, Gralla, Harte and Wald developed a new model for classical charged particles that is free from pathologies while being consistent with Maxwell’s equations and conserves stress-energy. Expanding upon this approach, we derive a relativistically correct, modified Lorentz force law in vector form, which includes radiation reaction, and spin- and magnetic moment-dependent correction terms, suitable to be included in classical electrodynamics lectures and beam dynamics simulation tools. As by-products we obtain evolution equations for mass, spin angular momentum and the radiated power. We compare the new equations to the classical ones and use the new equations to conduct numerical simulations, showing that the results are free of any nonphysical artifacts, and which might be possible to test in future experiments at particle accelerators. The new equations foster improved insight into beam dynamics.

A Study toward the Model Independence of Various Heating Rates Method in Thermoluminescence Glow Curve Analysis

This study analyzes thermoluminescence (TL) glow curves simulated in general order kinetics (GOK), one trap one recombination center (OTOR), and non‐interactive multi‐trap system (NMTS) models using various heating rates (VHR) method in linear heating scheme to extract the activation energy. A theoretical analysis to determine activation energy from TL curves using OTOR and NMTS models in an iterative manner, where the TL intensity is determined by using the Lambert‐W function, is proposed with its limitations. It is established that the activation energies in OTOR and NMTS models consist of the relevant GOK term and a respective correction term. Systematic analysis is carried out to study the improvement of the accuracy of activation energy derived from OTOR and NMTS model TL curves over the GOK model calculation. A quantitative analysis of the quasi‐equilibrium (QE) approximations is carried out for choosing appropriate system parameters. The validity of QE conditions are determined by studying variations of full width at half maximum as well as area under the curve as a function of heating rate. The present method is applied on some experimental data to estimate activation energies. This investigation reveals that the activation energy derived in VHR method has negligible dependence on the underlying theoretical models, i.e., the activation energy derived from GOK model calculation is significantly accurate for experimental scenario.

An ARDL Method for Evaluating Bangladesh’s Economic Growth Concerning Female Secondary Education

The purpose of this study is to investigate the association between Bangladesh’s economic growth and female secondary education. For this reason, the effects of female secondary education, female labour force participation rate, and female fertility rate on Bangladesh’s Real GDP growth rate are investigated over the years 1995–2021, using a quantitative approach. A long-term relationship between the variables is demonstrated by the Auto Regressive Distributive Lag (ARDL) Cointegration Model, wherein the fertility rate is negatively significant and the female participation rate in the labour force and secondary education are positively significant on the real GDP growth rate. The study uses the Error Correction Model (ECM) to record the speed of adjustment. There is short-run adjustment throughout the entire system, as indicated by the statistically significant and theoretically correct sign of the error correction term coefficient. A more thorough examination is necessary as the Causality test reveals an unanticipated unidirectional association between female secondary education and economic growth.

Real-time safety distance detection and warning for elevator inspection based on adaptive monocular depth estimation

During elevator inspection, workers are prone to collisions with hazards in narrow elevator machine rooms. Because of the numerous elevator machine rooms with diverse scenes in cities, it is difficult to effectively monitor the distance between workers and hazards. We propose a real-time safety distance detection and warning system consisting of four parts: object detection, depth estimation, safety distance detection, and safety warning. By introducing two adaptive error correction terms, the proposed adaptive monocular depth estimation algorithm effectively reduces the distortion of object pixel size with changes in depth and shooting angle. Then the calculation formula has been improved to accurately measure the distance between objects. The system has been successfully applied to safety supervision at the elevator inspection site in Nanchang City, Jiangxi Province, China. The results, with an average relative error of 3.34% and 84 frames detected per second, show the system exhibits excellent accuracy and real-time performance.

Violent relaxation in one-dimensional self-gravitating system: Deviation from the Vlasov limit due to finite-N effects.

We investigate the effect of a finite particle number N on the violent relaxation leading to the quasistationary state (QSS) in a one-dimensional self-gravitating system. From the theoretical point of view, we demonstrate that the local Poissonian fluctuations embedded in the initial state give rise to an additional term proportional to 1/N in the Vlasov equation. This term designates the strength of the local mean-field variations by fluctuations. Because it is of the mean-field origin, we interpret it differently from the known collision term in the way that it effects the violent relaxation stage. Its role is to deviate the distribution function from the Vlasov limit, in the collisionless manner, at a rate proportional to 1/N while the violent relaxation is progressing. This hypothesis is tested by inspecting the QSSs in simulations of various N. We observe that the core phase-space density can exceed the limiting density deduced from the Vlasov equationand its deviation degree is in accordance with the 1/N estimate. This indicates the deviation from the standard mean-field approximation of the violent relaxation process by that 1/N term. In conclusion, the finite-N effect has a significant contribution to the QSS apart from that it plays a role in the collisional stage that takes place long after. The conventional collisionless Vlasov equationmight not be able to describe the violent relaxation of a system of particles properly without the correction term of the local finite-N fluctuations.

The German concept of “self-cleansing actions” (Selbstreinigungsaktionen) – formulation, implementation, oblivion, and suppression

Over a quarter of a century has passed since film documentary director Agnieszka Arnold discovered previously unknown information on the “self-cleansing action” in Jedwabne. The brief period of interest taken in this subject by the media and historians did not bring a thorough explanation of the “Jedwabne complex”. We still know little of how the Germans and Austrians forming part of Einsatzgruppen instigated and implemented, or instead inspired, genocidal Selbstrenigungsaktionen taking place in the rear area of all German army groups (Heeresgruppen). The Romanians adopted a slightly different strategy, although it, too, resulted in the extermination of the Jewish population in the territories recovered after their seizure by the Soviets in 1940. In popular understanding of the issue, the so-called pogroms (although this is not a correct term) occurred only in Podlasie/Podlachia/Podlachien region, Kovno/Kauen/Kaunas, and Lvov/Lemberg/Lviv. In reality, their scope spanned the entirety of the “Bloodlands”, from the General Government to the Caucasus. It is important to note that the term Selbstrenigungsaktionen is practically absent from scholarly discourse (suffice it to type it in an Internet search engine). It is worrying that this genocidal episode of the Shoah goes nearly unstudied – of course, as part of international research initiatives free from accusations of biased exploration.

Deep/ultra-deep shale strength criterion: A case study of southern Sichuan Basin shale

Deep/ultra-deep shale gas reservoirs are a vital area for future shale gas development, which mainly relies on the stimulation of network fracturing. In such a reservoir, engineering technologies such as wellbore stability evaluation and network fracturing design are all closely related to the shale mechanical characteristics. Currently, most studies focus on the elastic-plastic, brittle-ductile properties of shale, which are characterized based on shale strength. However, there is still a lack of in-depth research on their failure strength and strength criteria specifically for deep/ultra-deep shale. To accurately characterize shale failure strength, numerous scholars have researched shale strength criteria. Nevertheless, due to the high geo-stress of deep/ultra-deep reservoirs, shale properties tend to transition from brittle to ductile, resulting in poor fitting of classical rock strength criteria to test data under high confining stresses. This study focused on the outcrops of the Longmaxi Formation shale, and high-confining-stress triaxial compression tests were conducted to investigate the strength variation characteristics of shale. Based on the Mohr-Coulomb criterion, a power-form MC criterion was proposed by introducing a power function of confining stress as a correction term, and its reliability, sensitivity, and applicability were evaluated. The results indicate that the non-linear characteristics of the power-form MC criterion curve better match the actual situation, allowing for a more accurate prediction of shale strength under high confining stress. Furthermore, the power-form MC criterion has low sensitivity to changes in confining stresses, indicating that the required amount of test data for fitting can be appropriately reduced during application. Additionally, the power-form MC criterion is applicable to some extent to other types of high-strength rocks buried at greater depths. The results of this study contribute to understanding the strength characteristics of deep/ultra-deep shale under high confining stress, providing important references and theoretical basis for drilling, completion, and stimulation practices in deep shale gas reservoirs.

The feminist origins of ‘political correctness’: PC terms in JSTOR

When ‘political correctness’ became a public concern in the USA in the early 1990s, it was almost immediately suggested that the term had long been something of a self-ironic slur in left-wing circles. While a number of people testified to this, the evidence advanced was almost entirely anecdotal, and to date no systematic attempt to gauge the reliability of these testimonies has been made. The present article seeks to rectify this. On the basis of a statistical account of politically correct (PC) terms – ‘politically correct’, ‘politically incorrect’, ‘political correctness’, ‘political incorrectness’ – in the Stockholm University version of the JSTOR database up to 1990, it challenges the received view that the term originated as a left-wing in-group marker which was used self-ironically. The evidence suggests, on the contrary, that the modern understanding of political correctness as a form of censorship first emerged in debates internal to the North American women's liberation movement. The article tables all uses of PC terms in JSTOR up to 1990. Before 1980, PC terms are used very sparingly and practically always non-ironically, with the possible exception of the one area in which the term gains ground in the 1970s: feminism. In JSTOR, prior to 1990, PC terms appear most frequently in feminist activist journal Off Our Backs (OOB). Usage in OOB makes evident that the notion of political correctness in the feminist context at the time was tied to a theoretical discussion concerning female sexuality. Climaxing at an academic conference arranged at Barnard College in 1982, this debate was pivotal for establishing the ironic understanding of political correctness we live with today, including the modern understanding of the concept as a means for the ‘closing of debate’. In sum, evidence suggests that the received view of the origins of the term ‘political correctness’ must be reconsidered.

Holographic RG from an exact RG: Locality and general coordinate invariance in the bulk

In earlier papers it was shown that the correct kinetic term for scalar, vector gauge field and the spin two field in AdSD+1 space is obtained starting from the exact renormalization group (ERG) equation for a CFTD perturbed by scalar composite, conserved vector current, and conserved traceless energy momentum tensor respectively. In this paper interactions are studied, and it is shown that a flipped version of the Polchinski ERG equation that evolves toward the UV can be written down and is useful for making contact with the usual AdS/CFT prescriptions for correlation function calculations. The scalar-scalar-spin-2 interaction in the bulk is derived from the ERG equation in the large N semiclassical approximation. It is also shown that after mapping to AdS the interaction is local on a scale of the bare cutoff rather than the moving cutoff (which would have corresponded to the anti–de Sitter scale). The map to AdSD+1 plays a crucial role in this locality. The local nature of the coupling ensures that this interaction term in the bulk action is obtained by gauge fixing a general coordinate invariant scalar kinetic term in the bulk action. A wave function renormalization of the scalar field is found to be required for a mutually consistent map of the two fields to AdSD+1. Published by the American Physical Society 2024

On the intermediate Jacobian of M5-branes

We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devise a method to analyze the Hodge structure (and hence the dimension of the intermediate Jacobian) of vertical divisors in these fourfolds, using only the data available from a type IIB compactification on the O3/O7 Calabi-Yau orientifold. Our method utilizes simple combinatorial formulae (that we prove) for the equivariant Hodge numbers of the Calabi-Yau orientifolds and their prime toric divisors, along with a formula for the Euler characteristic of vertical divisors in the corresponding elliptic Calabi-Yau fourfold. Our formula for the Euler characteristic includes a conjectured correction term that accounts for the contributions of pointlike terminal ℤ2 singularities corresponding to perturbative O3-planes. We check our conjecture in a number of explicit examples and find perfect agreement with the results of direct computations.

Multi-channel decentralized decoupling FxLMS algorithm and active vibration control experiment

When vibrations generated by marine machinery propagate through a ship’s hull into the ocean, they produce low-frequency radiated noise with distinct “acoustic fingerprint” characteristics. This noise, characterized by stable and concentrated energy, long transmission distances, and difficulty in elimination, becomes the primary target for enemy sonar detection. Active vibration isolation serves as a critical method for reducing low-frequency vibrations in ships and enhancing their acoustic stealth performance. However, control challenges persist, including multi-frequency excitation, frequency fluctuation, multi-channel coupling, and slow convergence speed. To address these issues, this paper introduced an innovative multi-channel decentralized decoupling filtered-x least mean square (DMFxLMS) algorithm. Firstly, a recursive least squares identification algorithm with a forgetting factor was proposed, taking into account the characteristics of single-input, multi-output and multi-input, and multi-output control systems, effectively enhancing the algorithm’s convergence speed and control accuracy. Secondly, based on the decentralized decoupling control concept, the multi-channel control system was simplified into parallel single-channel control loops. The control weight coefficient updates were only related to adjacent error signals, significantly reducing the algorithm’s computational complexity. Thirdly, an anti-impact link was designed to improve the algorithm’s robustness, considering the interference caused by other mechanical equipment during the control process. The influence of abnormal error signals in the control weight coefficient correction term was suppressed, and a percentage function was introduced to limit the output signal. Finally, the feasibility and effectiveness of the DMFxLMS algorithm were verified through simulations and experiments. The results demonstrated that the DMFxLMS algorithm achieved significant control effects for both constant frequency line spectrum excitation and frequency fluctuating line spectrum excitation, fulfilling the objective of reducing base vibration. The DMFxLMS algorithm exhibited fast convergence and excellent robustness, making it suitable for practical engineering applications.

On the perturbation of the interferometric phase in interferometry-polarimetry of fusion plasmas

The perturbation of the interferometric phase is a corrective term of the measured phase shift that should be taken into account in the measurement of the electron line density in a combined interferometer-polarimeter for the diagnostics of the electron density and the magnetic field in a fusion plasma. In this paper we first review in detail the theory of this effect and present a new and complete derivation of it, which also accounts for some errors published in a previous paper. Then we consider this effect in the interferometer-polarimeter of three different plasma devices: RTP, JET and DTT and for each machine we calculate the expected phase perturbation for a typical plasma profile, especially with reference to the use of the popular three-wave technique for the polarization modulation of the input probing beam.

Quasi-Interpolation on Chebyshev Grids with Boundary Corrections

Quasi-interpolation is a powerful tool for approximating functions using radial basis functions (RBFs) such as Gaussian kernels. This avoids solving large systems of equations as in RBF interpolation. However, quasi-interpolation with Gaussian kernels on compact intervals can have significant errors near the boundaries. This paper proposes a quasi-interpolation method with Gaussian kernels using Chebyshev points and boundary corrections to improve the approximation near the boundaries. The boundary corrections use a linear approximation of the function beyond the interval to estimate the truncation error and add correction terms. Numerical studies on test functions show that the proposed method reduces errors significantly near boundaries compared to quasi-interpolation without corrections, for both equally spaced and Chebyshev points. The convergence and accuracy with the boundary corrections are generally better with Chebyshev points compared to equally spaced points. The proposed method provides an efficient way to perform quasi-interpolation on compact intervals while controlling the boundary errors. This study introduces a novel approach to quasi-interpolation modification, which significantly enhances convergence rates and minimizes errors at boundary points, thereby advancing the methods for boundary approximation.

Bohr–Sommerfeld quantization condition for self-adjoint Dirac operators

We study the eigenvalue problem for a self-adjoint 1D Dirac operator. It is known that, near an energy level where the square of the potential makes a simple well, the eigenvalues are approximated by a Bohr–Sommerfeld type quantization rule. A remarkable difference from the Schrödinger case appears in the Maslov correction term. This fact was recently found by Hirota [Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov–Shabat operator, J. Math. Phys. 58 (2017) 102–108] under the analyticity condition of the potential using a complex WKB method. In this paper, we approach this problem with a microlocal technique focusing on the asymptotic behavior of the eigenfunction along the characteristic set to generalize the result to [Formula: see text] potentials.

Prescribed-time fault-tolerant tracking control for Markov jump nonlinear systems based on saturation dynamics filters

This paper investigates the problem of prescribed-time fault-tolerant tracking control for a class of Markov jump nonlinear systems affected by actuator faults and input saturation. First, a new time-varying constraint function and an error transformation are invoked to transform the original prescribed-time tracking control problem into a tracking control problem with deferred constraint for tracking error. Furthermore, the parameter correction terms are designed, on which a novel Markov jump saturation dynamic filter is constructed to handle the unfavorable effect of input saturation. Meanwhile, the projection operator technique and the norm estimation methodology are integrated to devise adaptive laws to estimate the unknown actuator faults evolving in accordance with the Markov chain. A new prescribed-time fault-tolerant tracking control scheme is put forward that realizes the deferred constraint on the tracking error, which in turn ensures that the tracking error of the system converges to a prescribed accuracy within a prescribed-time. Finally, two simulation examples, one of which implements a prescribed-time fault-tolerant tracking control for rotary steerable drilling tool system, are presented to illustrate the effectiveness and practicality of the developed scheme.

Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements

In the present work, a full nonlinear Timoshenko beam employing nonlinear shape functions is developed. The extended Hamilton principle is employed for deriving the differential equations of motion and the associated boundary conditions. The general form of the boundary conditions is then utilized to determine the static solution of the beam motion. Using this solution for the deformation and rotation of the beam, the nonlinear shape functions of the beam are identified, which leads to the linear and nonlinear mass and stiffness matrices of the Timoshenko beam element. The nonlinear dispersion diagram incorporating the non-linear corrections is obtained using the Linstedt–Poincaré perturbation method. An analysis of the effect of internal transverse shear and bending on the nonlinear dispersion characteristics of wave propagation in two-dimensional periodic network materials made of nonlinear Timoshenko beams is done. The formulated theory shows that the percentage of correction factor of the nonlinear kinematics versus the linear dynamical behavior is inversely proportional to the frequency amplitude. The shear and extension modes are shown to have the higher effect in the non-linear correction term in comparison to the flexural mode.