The Asymptotical Analysis for the Problem of Modeling the Gas Admixture in the Surface Layer of the Atmosphere by M. A. Davydova, N. T. Levashova, S. A. Zakharova

“…Application of a boundary functions method and an asymptotic method of differential inequalities allow to construct an asymptotics of the boundary layer type solution, to prove the existence of the solution with such an asymptotics and its asymptotic stability by Lyapunov as the stationary solution of the corresponding parabolic problem with the definition of local area of boundary layer type solution formation. …”
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Performance of a simple ACO on the minimum label spanning tree problem by Xinsheng Lai, Yuhang Cen

“…In addition, we show that the 1-ANT MMAS* is superior to a local search algorithm called ERA on a constructed instance of the problem.…”
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An Out Space Accelerating Algorithm for Generalized Affine Multiplicative Programs Problem by Lei Cai, Shuai Tang, Jingben Yin, Zhisong Hou, Hongwei Jiao

“…Secondly, by utilizing new linear relaxation technique, we establish the linear relaxation programs problem of the equivalent problem. Thirdly, based on the out space partition and the linear relaxation programs problem, we construct an out space branch-and-bound algorithm. …”
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The Objectives of Competency-Oriented Chinese Education: Connotation, Problems and Design Strategies by REN Mingman, LAN Lingwei, ZHANG Lixin

“…To design competency-oriented Chinese learning objectives, teachers need to transform their views on curriculum, textbooks, and teaching, use big ideas to integrate and construct a system of "core competencies - unit objectives - lesson segment objectives", and take problem-solving as the anchor point to implement the integrity, systematicity, and practicality of learning objectives, thereby promoting the development of students' core competencies.…”
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Theory of Fractional Hybrid Problems in the Frame of ψ-Hilfer Fractional Operators by Saeed M. Ali, Wedad Albalawi, Mohammed S. Abdo, Heba Y. Zahran, Abdel-Haleem Abdel-Aty

“…Finally, two examples are constructed to make our main findings effective.…”
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Subquery Allocation Problem and Heuristics for Secret Sharing Distributed Database System by Toshiyuki Miyamoto, Takeshi Ikemura

“…At first, we formulated the subquery allocation problem as a constraints satisfaction problem. Since the subquery allocation problem is NP-complete in general, it is not easy to obtain the optimal solution in practical time. …”
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An Automatic Heuristic Design Approach for Seru Scheduling Problem with Resource Conflicts by Rongxin Zhan, Jinhui Zhang, Zihua Cui, Jin Peng, Dongni Li

“…Seru scheduling, which refers to constructing serus with an exact sequence in limited workspace, is an important decision problem in the operational management of seru production systems and can reflect the reconfiguration nature of seru production systems. …”
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Universal Single Controller for Solving Deadlock Problems of Flexible Manufacturing Systems by Ter-Chan Row, Ching-Yun Tseng, Yen-Liang Pan

“…Since the occurrence of deadlocks can influence serial operations, it is crucial to overcome such problems. The authors focus on resolving deadlocks by using superficial structural characteristics. …”
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Construction Database-Supported and BIM-Based Interface Communication and Management: A Pilot Project by Yu-Cheng Lin, Shuh Jung, Yu-Chih Su

“…Construction projects are subject to numerous interface problems, particularly during the construction phase. …”
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The Cauchy Problem for One Class of Parabolic Pseudodifferential Equation with Deviation of the Argument by Yaroslav M. Drin, Iryna I. Drin, Svitlana S. Drin, Maksym P. Kotsur

“…The formula for the solution of the Cauchy problem is constructed for the nonlinear equation of heat conduction with a deviation of the argument, its properties are investigated.…”
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Numerical Solution of the Inverse Thermoacoustics Problem Using QFT and Gradient Method by Syrym E. Kasenov, Aigerim M. Tleulesova, Almas N. Temirbekov, Zholaman M. Bektemessov, Rysbike A. Asanova

“…The conjugate problem was constructed, and the functional gradient was computed, while the existence of the Frechet derivative was proved. …”
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The Ordered Clustered Travelling Salesman Problem: A Hybrid Genetic Algorithm by Zakir Hussain Ahmed

“…This paper develops a hybrid genetic algorithm using sequential constructive crossover, 2-opt search, and a local search for obtaining heuristic solution to the problem. …”
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Universal Covering System and Borsuk’s Problem in Finite Dimensional Banach Spaces by Xincong Qi, Xinling Zhang, Yunfang Lyu, Senlin Wu

“…Providing accurate estimations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula> for specific choices of <i>X</i> and <i>m</i> is crucial for addressing the extension of the classical Borsuk’s problem. A general framework for estimating <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>(</mo><mi>X</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula> via constructing and refining universal covering systems is presented. …”
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Managing Redundancy in a Multiple-Robot Orienteering Problem for Equilibrium and Robustness by Zengzhen Mi, Tong Jiang, Wenwen Leng, Yuchengzhi Lei

“…In our work, the Robust Multiple-robot Orienteering Problem with Workload Balancing is constructed for the first time. …”
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Research and Analysis of Out-of-Tolerance Problem in Mold Processing Based on Intelligence by Juxian Wang

“…Out-of-tolerance is one of the most common problems in mold processing. For the out-of-tolerance problem in mold processing, the cold stamping die for motorcycle fuel tank shell is taken as the research object to solve the problem of out-of-tolerance, that is, easy to occur in the process of mold forming. …”
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A systematic approach to the scale separation problem in the development of multiscale models. by Pinaki Bhattacharya, Qiao Li, Damien Lacroix, Visakan Kadirkamanathan, Marco Viceconti

“…Among the many challenges posed by such 'multiscale' problems, that of defining a 'scale' remains poorly addressed. …”
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Differential Evolution in Problems Optimal Parameters Search for Population-Migration Models by Olga Druzhinina, Olga Masina, Irina Vasilyeva

“…The obtained results can be used in solving problems of global parametric optimization, computer modeling of multidimensional ecological systems, as well as problems of predicting behavior in chemical kinetics systems, and in describing demographic processes.…”
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Doomed to Fail? Rebound Effect and Conflict Management Problems in Bosnia and Herzegovina by Aleksandra Zdeb

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HARMONIC INTERPOLATING WAVELETS IN NEUMANN BOUNDARY VALUE PROBLEM IN A CIRCLE by Dmitry A. Yamkovoi

“…The Neumann boundary value problem (BVP) in a unit circle is discussed. For the solution of the Neumann BVP, we built a method employing series representation of given \(2 \pi\)-periodic continuous boundary function by interpolating wavelets consisting of trigonometric polynomials. …”
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The Role of Guilt Feelings in the Development of the Burnout Process: The Influence on Psychosomatic Problems by Pedro Gil-LaOrden, Mary Sandra Carlotto, Pedro R. Gil-Monte

“…The hypotheses were evaluated together using a path model to test the mediating role of guilt feelings in the development of burnout and its relationship with psychosomatic problems. Two models were constructed: the hypothesized model (i.e., indolence → guilt → psychosomatic problems) vs. the alternative model (i.e., indolence → psychosomatic problems → guilt). …”
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