Order In Coupling Research Articles

Implicit Peer Triplets in Gradient-Based Solution Algorithms for ODE Constrained Optimal Control

AbstractIt is common practice to apply gradient-based optimization algorithms to numerically solve large-scale ODE constrained optimal control problems. Gradients of the objective function are most efficiently computed by approximate adjoint variables. High accuracy with moderate computing time can be achieved by such time integration methods that satisfy a sufficiently large number of adjoint order conditions and supply gradients with higher orders of consistency. In this paper, we upgrade our former implicit two-step Peer triplets constructed in [Algorithms, 15:310, 2022] to meet those new requirements. Since Peer methods use several stages of the same high stage order, a decisive advantage is their lack of order reduction as for semi-discretized PDE problems with boundary control. Additional order conditions for the control and certain positivity requirements now intensify the demands on the Peer triplet. We discuss the construction of 4-stage methods with order pairs (3, 3) and (4, 3) in detail and provide three Peer triplets of practical interest. We prove convergence of order $$s-1$$ s - 1 , at least, for s-stage methods if state, adjoint and control satisfy the corresponding order conditions. Numerical tests show the expected order of convergence for the new Peer triplets.

The Efficacy of Staff members'Work Performance at Northern Finance College Luang PrabangProvince

The purpose of this research were 1) to study the performance efficiency of the Northern Finance College, 2) to study the motivation of staff members' work the Northern Finance College, 3) Analyze the relationship between motivation factors in work performance and work performance efficiency of employees of Northern Finance College, Luang Prabang Province, and 4) to study the factors affecting the working efficiency of the Northern Finance College. The sample group was 47 people from the Northern Finance College. The questionnaire was used as a tool for collecting the data. The data collected was analyzed by using the frequency, percentage, mean and standard deviation. This was used to test the hypothesis for each pair in order to see which pair was different with Multiple Regression Analysis.The results of the research found that the work efficiency of the employees of the Northern Finance College in Luang Prabang province is generally very good, such as the quantity of work, the quality of work and the time. The motivation to perform the workas a whole has many levels of motivation, in which the most motivation is the success in work, followed by the creative and challenging nature of the work and the least motivation is the advancement in the career. The relationship between the motivation factor in work performance and the performance of employees of the Northern Finance University in Luang Prabang Province is related in the same direction which is the motivation for success in high work, motivation from receiving respect, motivation from career advancement, from the work environment and from work responsibility.The motivation factor for work performance is the success factor in work and the responsibility factor in work has an effect on the work efficiency of the staff of Northern Finance College in Luang Prabang province.

On Some Distance Spectral Characteristics of Trees

Graham and Pollack in 1971 presented applications of eigenvalues of the distance matrix in addressing problems in data communication systems. Spectral graph theory employs tools from linear algebra to retrieve the properties of a graph from the spectrum of graph-theoretic matrices. The study of graphs with “few eigenvalues” is a contemporary problem in spectral graph theory. This paper studies graphs with few distinct distance eigenvalues. After mentioning the classification of graphs with one and two distinct distance eigenvalues, we mainly focus on graphs with three distinct distance eigenvalues. Characterizing graphs with three distinct distance eigenvalues is “highly” non-trivial. In this paper, we classify all trees whose distance matrix has precisely three distinct eigenvalues. Our proof is different from earlier existing proof of the result as our proof is extendable to other similar families such as unicyclic and bicyclic graphs. The main tools which we employ include interlacing and equitable partitions. We also list all the connected graphs on ν ≤ 6 vertices and compute their distance spectra. Importantly, all these graphs on ν ≤ 6 vertices are determined from their distance spectra. We deliver a distance cospectral pair of order 7, thus making it a distance cospectral pair of the smallest order. This paper is concluded with some future directions.

Molecular Dynamics Simulation of Melting of the DNA Duplex with Silver-Mediated Cytosine–Cytosine Base Pair

Metal-mediated base pairs in DNA double helix molecules open up broad opportunities for biosensors based on DNA clusters with silver due to their low toxicity and applicability in drug design. Despite intensive experimental and computational research, molecular mechanisms of stabilization of a double helix by silver-mediated base pairs are mainly unknown. We conducted all-atom molecular dynamics simulations of a dodecameric DNA double helix (sequence 5′-TAGGTCAATACT-3′-3′ATCCACTTATGA-5′) with either cytosine–cytosine or cytosine–Ag+–cytosine mismatch in the center of the duplex. We extended the previously proposed set of interaction parameters for a silver ion in the silver-mediated pair in order to allow for its dissociation. With this new potential, we studied how the addition of a silver ion could stabilize a DNA double helix containing a single cytosine–cytosine mismatch. In particular, we found out that the helix with cytosine–Ag+–cytosine mismatch has a greater melting temperature than the helix with cytosine–cytosine one. This stabilization effect of the silver ion is in qualitative agreement with experimental data. The central region of the duplex with cytosine–Ag+–cytosine mismatch (unlike with cytosine–cytosine mismatch) is stable enough to prevent bubble formation at moderate temperatures during melting. The results of this simulation can be used to devise novel metal-mediated DNA structures.

Ranking of factors affecting pricing in construction projects by intuitionistic fuzzy analytic hierarchy process with ordered pairs

The construction industry faces various challenges related to uncertainties in project bids and unstable pricing. These challenges include situations where uncertainties in bid documents can affect project pricing and performance. In order to resolve these uncertainties and clarify project requirements, risks and uncertainties within the document need to be identified early in the project life cycle. This study aims to rank the factors affecting project pricing. For this purpose, firstly, the parameters that have an impact on pricing are defined and then these factors are weighted by using Intuitionistic Fuzzy Analytic Hierarchy Process with Ordered Pairs. The analysis of factors affecting construction pricing reveals some important insights. Environmental uncertainties and uncertainties in prices and labor costs are the most important factors influencing pricing, while past project experience is the least important factor. Overall, these findings shed light on the multifaceted nature of construction pricing, which is shaped by the complex interaction of environmental, economic and market factors.

Diagnostic imaging of debonding in FRP-strengthened reinforced concrete structures using combinational harmonics generated by Rayleigh waves

A debonding location imaging technique (DLIT) utilising mixed-frequency Rayleigh waves is reported in this paper to predict the location of debonding in fibre-reinforced polymer (FRP) composite strengthened concrete structures. In the proposed methodology, a piezoceramic transducer network is employed to sequentially scan the FRP-concrete interface. One of the transducers serves as an actuator while the remainder serve as sensors. The incident waves which are sent by the actuator consist of two different fundamental frequencies. After the incident waves interact with debonding, additional signals are generated that coincide with the sum of the fundamental frequencies (i.e., sum frequency). The received wave component at the sum frequency is in accordance with theoretical predictions. In order to apply the DLIT, a time-frequency analysis is then applied to process the data collected by each actuator-sensor transducer pair in order to determine the signal energy density amplitudes (i.e., signal envelopes) at the fundamental frequencies and the sum frequency. Based on cross-correlation analysis between the signal envelopes of the fundamental frequencies and the sum frequency, an image can be constructed that reveals the centroid of the debonding region. Following the presentation of the proposed DLIT, numerical and experimental studies are then reported that compare the predicted centroid of debonding with the actual centroid of debonding as incorporated into the numerical model and the experimental specimens, respectively. The results demonstrate that the proposed DLIT based on the Rayleigh wave features at sum frequency can satisfactorily predict the location of debonding.

And subnormal safe quotients for geometrically regular weighted shifts

Geometrically regular weighted shifts (in short, GRWS) are those with weights α(N,D) given by αn(N,D)=pn+Npn+D, where p>1 and (N,D) is fixed in the open unit square (−1,1)×(−1,1). We study here the zone of pairs (M,P) for which the weight α(N,D)α(M,P) gives rise to a moment infinitely divisible (▪) or a subnormal weighted shift, and deduce immediately the analogous results for product weights α(N,D)α(M,P), instead of quotients. Useful tools introduced for this study are a pair of partial orders on the GRWS.

Effect of distribution shape on the melting transition, local ordering, and dynamics in a model size-polydisperse two-dimensional fluid

Abstract We study the effect of particle size polydispersity (δ) on the melting transition (T *), local ordering, solid–liquid coexistence phase and dynamics of two-dimensional Lennard–Jones fluids up to moderate polydispersity by means of computer simulations. The particle sizes are drawn at random from the Gaussian (G) and uniform (U) distribution functions. For these systems, we further consider two different kinds of particles, viz., particles having the same mass irrespective of size, and in the other case the mass of the particle scales with its size. It is observed that with increasing polydispersity, the value of T * initially increases due to improved packing efficiency (ϕ) followed by a decrease and terminates at δ ≈ 8% (U-system) and 14% (G-system) with no significant difference for both mass types. The interesting observation is that the particular value at which ϕ drops suddenly coincides with the peak of the heat capacity (CP ) curve, indicating a transition. The quantification of local particle ordering through the hexatic order parameter (Q 6), Voronoi construction and pair correlation function reveals that the ordering decreases with increasing δ and T. Furthermore, the solid–liquid coexistence region for the G-system is shown to be comparatively wider in the T–δ plane phase diagram than that for the U system. Finally, the study of dynamics reveals that polydisperse systems relax faster compared to monodisperse systems; however, no significant qualitative differences, depending on the distribution type and mass polydispersity, are observed.

Radiation reaction kinetics and collective QED signatures

Observing collective effects originating from the interplay between quantum electrodynamics and plasma physics might be achieved in upcoming experiments. In particular, the generation of electron–positron pairs and the observation of their collective dynamics could be simultaneously achieved in a collision between an intense laser and a highly relativistic electron beam through a laser frequency shift driven by an increase in the plasma density increase. In this collision, the radiation of high-energy photons will serve a dual purpose: first, in seeding the cascade of pair generation; and, second, in decelerating the created pairs for detection. The deceleration results in a detectable shift in the plasma frequency. This deceleration was previously studied considering only a small sample of individual pair particles. However, the highly stochastic nature of the quantum radiation reaction in the strong-field regime limits the descriptive power of the average behavior to the dynamics of pair particles. Here, we examine the full kinetic evolution of generated pairs in order to more accurately model the relativistically adjusted plasma density. As we show, the most effective pair energy for creating observable signatures occurs at a local minimum, obtained at finite laser field strength due to the trade-off between pair deceleration and the relativistic particle oscillation at increasing laser intensity. For a small number of laser cycles, the quantum radiation reaction may re-arrange the generated pairs into anisotropic distributions in momentum space, although, in the one-dimensional simulations considered here, this anisotropy quickly decreases.

Situation modeling and evaluation for complex systems: A case study of satellite attitude control system

Because the dependence, competition, correlation, and other complex interactions among the components and between system and environment, the complex system is difficult to be modeled directly. As an important spacecraft system, satellite needs to meet the high reliability demand. However, the increasingly complex satellite system structure and complex space environment interference make the on-orbit satellite failure inevitable. Modeling and evaluation of satellite conditions can identify potential problems of key system components in time. Firstly, in order to accurately describe the system components and measure the reliability, the correlative damage coefficient is introduced to describe the component degradation process, and the component reliability model of the satellite attitude control system is established. Then, to solve the problem of large state space and changeable condition of system reliability model, the concept of tangent order pair is introduced into the multi-state dynamic fault tree of system. The depth-first search algorithm is used to sort the underlying event components of the fault tree, and the multi-state multi-value decision graph model of different state events is constructed. The minimum cut set of the model is obtained to evaluate the system state. The experimental results show that the proposed method can effectively simulate the system situation under different fault modes, effectively reduce the state space of the system reliability model, and improve the convergence and accuracy of the system fault probability evaluation.

Truthful mechanisms to maximize the social welfare in real-time ride-sharing

Ride-sharing contributes significantly to lowering trip expenses, easing traffic congestion and decreasing air pollution. However, current order pairing approaches in ride-sharing usually focus on minimizing total trip distances or maximizing platform profits, overlooking the drivers’ desire for increased earnings. As a result, drivers might provide dishonest information to gain higher profits, leading to inefficient order pairing for the ride-sharing platform and potential losses for both the platform and drivers. In this paper, we address this challenging issue by developing efficient order pairing mechanisms that maximize the social welfare of the platform and drivers. Specifically, we introduce two truthful auction-based order pairing mechanisms, SWMOM-VCG and SWMOM-GM, where drivers bid on platform-published orders to complete them and earn profits. We provide theoretical proof that both mechanisms fulfill the criteria of individual rationality, profitability, truthfulness and so on. Using real taxi order data from New York City, we assess the performance of both mechanisms and show that they achieve greater social welfare compared to existing methods. Additionally, we find that SWMOM-GM requires less computation time than SWMOM-VCG for order pairing, with only a minor reduction in social welfare.

A Traceable Universal Designated Verifier Transitive Signature Scheme

A transitive signature scheme enables anyone to obtain the signature on edge (i,k) by combining the signatures on edges (i,j) and (j,k), but it suffers from signature theft and signature abuse. The existing work has solved these problems using a universal designated verifier transitive signature (UDVTS). However, the UDVTS scheme only enables the designated verifier to authenticate signatures, which provides a simple way for the signer to deny having signed some messages. The fact that the UDVTS is not publicly verifiable prevents the verifier from seeking help arbitrating the source of signatures. Based on this problem, this paper proposes a traceable universal designated verifier transitive signature (TUDVTS) and its security model. We introduce a tracer into the system who will trace the signature back to its true source after the verifier has submitted an application for arbitration. To show the feasibility of our primitive, we construct a concrete scheme from a bilinear group pair (G,GT) of prime order and prove that the scheme satisfies unforgeability, privacy, and traceability.

REACT MODEL and Teaching the Area of English Literature Focus

The REACT methodology has been used to teach literary works in English. Students should be able to apply new knowledge and abilities to real-world circumstances, discuss and exchange information (work in pairs) in order to address problematic issues as a result of teaching. This methodology is intended to aid students in evaluating their prior knowledge and, as a result, improve their ability to comprehend the text at hand. Learning about English through literature is a common goal of English language education. It gives students a better understanding of the societal and political context of the target language society, as well as how a particular community communicates. This study highlights the significance of employing the REACT approach while educating students about literature. In other words, there are two parts to it: information on the REACT paradigm, and information on literature. In the end, the researcher reaches some findings.

Economical handling of Runge–Kutta–Nyström step rejection

Runge–Kutta–Nyström (RKN) pairs are amongst the most popular methods for solving numerically Initial Value Problems of second order. Here we consider the special case with first derivative absent from the right hand side of the classical definition of this problem. While using a RKN pair, we may experience rejection of some steps through the interval of integration. Traditionally, the whole amount of evaluations are then dropped and we proceed with a completely new round of computations. In this work we propose avoiding this waste and continue by using again the rejected RKN stages. We especially focus on a RKN pair of orders six and four. After a step rejection we use again all the previously evaluated stages and add only one new stage. We proceed by evaluating the output in a smaller step. By this technique we manage to reduce significantly the cost in a set of problems that are known to pose difficulties in RKN step size changing algorithms.

NLR receptors in plant immunity: making sense of the alphabet soup.

Plants coordinately use cell-surface and intracellular immune receptors to perceive pathogens and mount an immune response. Intracellular events of pathogen recognition are largely mediated by immune receptors of the nucleotide binding and leucine rich-repeat (NLR) classes. Upon pathogen perception, NLRs trigger a potent broad-spectrum immune reaction, usually accompanied by a form of programmed cell death termed the hypersensitive response. Some plant NLRs act as multifunctional singleton receptors which combine pathogen detection and immune signaling. However, NLRs can also function in higher order pairs and networks of functionally specialized interconnected receptors. In this article, we cover the basic aspects of plant NLR biology with an emphasis on NLR networks. We highlight some of the recent advances in NLR structure, function, and activation and discuss emerging topics such as modulator NLRs, pathogen suppression of NLRs, and NLR bioengineering. Multi-disciplinary approaches are required to disentangle how these NLR immune receptor pairs and networks function and evolve. Answering these questions holds the potential to deepen our understanding of the plant immune system and unlock a new era of disease resistance breeding.

Berechnungsmethode zur Beurteilung von Verschleiß bei Stahl-Bronze-Wälzpaarungen hinsichtlich Schneckengetrieben

AbstractWorm gears are usually used in industrial applications with the material pairing of hard worm and softer worm wheel, where the failure mode wear often limits the service life. Up to now, extensive, costly and time-consuming component wear tests need to be carried out for each tribological pairing in order to calculate the amount of wear on worm wheels. Therefore, no practical and efficient experimental method is currently available to optimize material-lubricant pairings with respect to wear capacity for worm gear drives. For this reason, a model contact wear test was developed applying a twin-disk test rig. Based on this, the paper covers a new wear calculation method to characterize the wear behavior of steel-bronze rolling-sliding contacts regarding worm wheels. Therefore, the basics for the new calculation method for a model contact will be presented. Furthermore, the validation of the newly developed wear calculation method on the basis of test results of experimental investigations using the twin-disk test rig is addressed. Subsequently, results of the new wear calculation method are compared to results of the wear calculation method for worm wheels for individual tribosystems. Special focus will be given to similar trends in the calculated wear between the worm gear contact and the model contact. This new calculation method enables, in combination with wear tests on the twin-disk machine, efficient information on the wear behavior of worm gears and the development of optimized material-lubricant pairings concerning wear performance for worm gear drives.

Surgery and Anesthesia Preoperative "Virtual Huddle": A Pilot Trial to Enhance Communication across the Drape.

Effective communication between surgeons and anesthesiologists is critical for high-quality, safe, and efficient perioperative patient care. Despite widespread implementation of surgical safety checklists and time-outs, ineffective team communication remains a leading cause of patient safety events in the operating room. To promote effective communication, we conducted a pilot trial of a "virtual huddle" between anesthesiologists and surgeons. Attending anesthesiologists and surgeons at an academic medical center were recruited by email to participate in this feasibility trial. An electronic health record-based smartphone application was utilized to create secure group chats among trial participants the day before a surgery. Text notifications connected a surgeon/anesthesiologist pair in order to introduce colleagues, facilitate a preoperative virtual huddle, and enable open-ended, text message-based communication. A 5-point Likert scale-based survey with a free-text component was used to evaluate the utility of the virtual huddle and usability of the electronic platform. A total of 51 unique virtual huddles occurred between 16 surgeons and 12 anesthesiologists over 99 operations. All postintervention survey questions received a positive rating (range: 3.50/5.00-4.53/5.00) and the virtual huddle was considered to be easy to use (4.47/5.00), improve attending-to-attending communication (4.29/5.00), and improve patient care (4.22/5.00). There were no statistically significant differences in the ratings between surgery and anesthesia. In thematic analysis of qualitative survey results, Participants indicated the intervention was particularly useful in interdisciplinary relationship-building and reducing room turnover. The huddle was less useful for simple, routine cases or when participation was one sided. A preoperative virtual huddle may be a simple and effective intervention to improve communication and teamwork in the operating room. Further study and consideration of broader implementation is warranted.

Fast template match algorithm for spatial object detection using a stereo vision system for autonomous navigation

The spatial object detection for autonomous navigation is an active research topic with many works published about it, many of them use object detection and stereo vision systems to fulfill this task. One of the main tasks of the stereo vision system is to find the corresponding object on the image pair in order to compute the object three-dimensional coordinates, the most used methods to perform this task is to use disparity maps. The disadvantages of these methods are that they are time consuming with a high computational cost which is not ideal for real-time applications. Other methods to perform this task are template match algorithms like SAD, SSD or NCC. These algorithms have a low computational cost, but the problem is that they are time consuming, making them not suitable for real-time applications. This is why this paper proposes a novel template match algorithm called SoRA with faster run-times and low computational cost. The performed experiments demonstrate that the proposed algorithm outperforms existing template match algorithms maintaining accuracy and a low computational cost which is ideal for the intended application.

Stable sharing

We propose a simple model in which agents are matched in pairs in order to complete a task of unit size. The preferences of agents are single-peaked and continuous on the amount of time they devote to it. Our model combines features of two models: assignment games (Shapley and Shubik (1971)) and the division problem (Sprumont (1991)). We provide an algorithm (Select-Allocate-Match) that generates a stable and Pareto efficient allocation. We show that stable allocations may fail to exist if either the single-peakedness or the continuity assumption fail.

ПРІОРИТЕТНІ ЗАДАЧІ СМАРТИЗАЦІЇ ШОПІНГУ У ТРАДИЦІЙНОМУ ГІПЕРМАРКЕТІ ЗА ПРИНЦИПАМИ RETAIL 4.0

Retail 4.0 is the newest approach to Industry 4.0-based retail organization. Industry 4.0 involves the industry transformation to the most robotic production, which is controlled by intelligent systems based on cyber-physical devices with usage of Internet of things, cloud information resources, big data processing, and virtual reality. The paper proposes two promising tasks for the implementation of Retail 4.0 technologies in the practices of traditional hypermarkets and supermarkets with low investments. The first task concerns the optimization of the buyer's route, and the second task concerns the optimization of the route of the store employee who completes the online order. It is assumed that the trolleys with RFID-modules and a system of radio frequency identification of the location of devices are available in a supermarket. Task of routine optimization for a buyer with a smart trolley is reduced to a generalized traveling salesman task. The possibility of dynamic adaptation of the route due to changes in the availability of aisles and stock of goods is considered. Three monetization ways of the proposed routine optimization service are proposed. They are based either on direct payment by the buyer for optimal routing service, or indirect payment through increased loyalty or the ability to promote additional products through the recommendation module. Recommendations are provided at hand, i.e. directly in the trading zone near the area of visibility to the recommending product. The second task concerns the optimal completion of online orders by store employees. In addition to the possibility of dynamic adaptation of the route, to save time, it is additionally suggested to complete two similar small orders at the same time. The principles by which it is possible to identify the most similar pairs of orders from the point of view of their picking routes have been formulated.