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  1. 81
  2. 82

    Limits and Risks of Digital Transformation by T. S. Akhromeeva, G. G. Malinetskiy, S. A. Posashkov

    Published 2020-07-01
    “…Currently, the process of digital transformation is actively going on in the economy, science, education, and society as a whole. This process has a number of restrictions and risks we consider. The mathematical theory of complexity reveals a large class of the restrictions. …”
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    Article
  3. 83

    Improved Strategy of Two-Node Curved Beam Element Based on the Same Beam’s Nodes Information by Yuquan Wang

    Published 2021-01-01
    “…The common practice in the current literature employs two-node straight beam elements as the elementary members for stress and displacement analysis, which needs a large number of divisions to fit the curved beam shape well and increases computational time greatly. …”
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    Article
  4. 84

    Gapped phases with non-invertible symmetries: (1+1)d by Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schafer-Nameki

    Published 2025-01-01
    “…This set-up provides computational power to determine the number of vacua, the symmetry breaking pattern, and the action of the symmetry on the vacua. …”
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    Article
  5. 85
  6. 86

    Sparse Regularization With Reverse Sorted Sum of Squares via an Unrolled Difference-of-Convex Approach by Takayuki Sasaki, Kazuya Hayase, Masaki Kitahara, Shunsuke Ono

    Published 2025-01-01
    “…These include developing an algorithm grounded in theory, not heuristics, reducing computational complexity, enabling the automatic determination of numerous parameters, and ensuring the number of iterations remains feasible. …”
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    Article
  7. 87

    Evolution of CFD as an engineering science. A personal perspective with emphasis on the finite volume method by Runchal, Akshai Kumar

    Published 2024-06-01
    “…The foundations of CFD were laid by developments in physics, numerical analysis and matrix theory over the last 200 years or so. It was, however, the electronic computer in the middle of the 20th century that led to its birth and its widespread use. …”
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    Article
  8. 88

    Intratumor heterogeneity: models of malignancy emergence and evolution by R. A. Ivanov, S. A. Lashin

    Published 2023-12-01
    “…These techniques enable the identification of somatic mutations, copy number alterations, and structural rearrangements within cancer genomes. …”
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    Article
  9. 89
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    The Application Research of Inverse Finite Element Method for Frame Deformation Estimation by Yong Zhao, Hong Bao, Xuechao Duan, Hongmei Fang

    Published 2017-01-01
    “…The methodology uses a least squares principle involving section strains of Timoshenko theory for stretching, torsion, bending, and transverse shearing. …”
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    Article
  11. 91

    Solving the Problem of Time, Cost, and Quality Trade-Off in Project Scheduling under Fuzzy Conditions Using Meta-Heuristic Algorithms by Hojjatullah Ghadir, Seyed Ahmad Shayannia, Mehdi Amir Miandargh

    Published 2022-01-01
    “…This means that by fuzzy number theory, the specifications and conditions of a project are included in the problem of balancing time, cost, and quality. …”
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    Article
  12. 92

    A Framework for Coxeter Spectral Classification of Finite Posets and Their Mesh Geometries of Roots by Daniel Simson, Katarzyna Zając

    Published 2013-01-01
    “…Following our paper [Linear Algebra Appl. 433(2010), 699–717], we present a framework and computational tools for the Coxeter spectral classification of finite posets J≡(J,⪯). …”
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  13. 93

    Design and Performance Evaluation of Propeller for Solar-Powered High-Altitude Long-Endurance Unmanned Aerial Vehicle by Donghun Park, Yunggyo Lee, Taehwan Cho, Cheolwan Kim

    Published 2018-01-01
    “…The blade element momentum theory, in conjunction with minimum induced loss, is used as a basic design method. …”
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  15. 95

    Performance Enhancement in Horizontal Axis Wind Turbine Using Blade With Split by Adilkhan Tuken, Cemil Yigit

    Published 2025-02-01
    “…Chord length and angle of attack are determined by blade element momentum (BEM) theory. In the optimization process, the slope, position, width, and number of the splits were taken as parameters, and the optimum blade design was created. …”
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  16. 96

    The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

    Published 2022-01-01
    “…In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number theory, graph theory, group theory, game theory, linear algebra, logic, and combinatorics. …”
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  17. 97

    Maximum Independent Sets Partition of (n,k)-Star Graphs by Fu-Tao Hu

    Published 2019-01-01
    “…The (n,k)-star graph is a very important computer modelling. The independent number and chromatic number of a graph are two important parameters in graph theory. …”
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    Solutions to All-Colors Problem on Graph Cellular Automata by Xiaoyan Zhang, Chao Wang

    Published 2019-01-01
    “…We also introduce a new kind of All-Colors Problem, k-Random Weak-All-Colors Problem, which is relevant to both combinatorial number theory and cellular automata theory.…”
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  20. 100

    Multi-valued mappings on Pompeiu-Hausdorff fuzzy b-metric spaces and a common fixed point result by Noreddine Makran, Stojan N. Radenović

    Published 2025-01-01
    “…Unlike traditional logic theory, where an element either belongs to the set or does not, in fuzzy logic, the affiliation of the element to the set is expressed as a number from the interval [0, 1]. …”
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