Some Topological Approaches of Rough Sets through Minimal Neighborhoods and Decision Making

Authors: Ismail T. Shbair, Amgad Salem Salama, O. A. Embaby, Abd El Fattah El Atik

Source: Journal of Mathematics, Vol 2024 (2024)

Subject Terms: Topology (electrical circuits), Rough Sets Theory and Applications, Probabilistic Rough Sets, Computational Mechanics, Shape Optimization, 02 engineering and technology, Structural Analysis, 3. Good health, Engineering, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Shape Matching and Object Recognition, QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Computer Vision and Pattern Recognition, Rough Sets, Feature Selection, Isogeometric Analysis in Computational Engineering, Mathematics

Access URL: https://doaj.org/article/237d9eddbf62469da43db83ade40e239

Egerváry's theorems for harmonic trinomials

Authors: Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

Contributors: Department of Mathematics and Statistics

Source: Acta Mathematica Hungarica. 172:170-186

Subject Terms: Harmonic trinomial, Computational Mechanics, Trinomial, Quantum mechanics, Orthogonal Polynomials, Engineering, 12D10, 30C15, 26C10, 30C10, Egervary equivalent, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Bohl's theorem, Lacunary polynomial, Complex Variables (math.CV), Isogeometric Analysis in Computational Engineering, Foundations of Geometric Mathematics, Mathematics - Complex Variables, Applied Mathematics, Physics, Pure mathematics, Harmonic, Discrete mathematics, Multiplicity, Mathematics - Classical Analysis and ODEs, Physical Sciences, Geometry and Topology, Root of polynomials, Trigonometry, Mathematics

File Description: application/pdf

Access URL: http://arxiv.org/abs/2307.01720
http://hdl.handle.net/10138/572199

Preserving monotone or convex data using quintic trigonometric Bézier curves

Authors: Salwa Syazwani Mahzir, Md Yushalify Misro, Kenjiro T. Miura

Source: AIMS Mathematics, Vol 9, Iss 3, Pp 5971-5994 (2024)

Subject Terms: Stereo Vision and Depth Estimation, 0209 industrial biotechnology, Mesh Refinement, Quintic function, Computational Mechanics, Geometry, 02 engineering and technology, 01 natural sciences, Mathematical analysis, Quantum mechanics, Shape Representation, convexity-preserving, Engineering, QA1-939, FOS: Mathematics, Analysis of Three-Dimensional Shape Structures, 0101 mathematics, Isogeometric Analysis in Computational Engineering, shape parameter, Bézier curve, Physics, quintic trigonometric bézier, Shape Optimization, Pure mathematics, Regular polygon, monotonicity-preserving, curvature, Physical Sciences, Computer Science, shape-preserving interpolation, Nonlinear system, Monotone polygon, Computer Vision and Pattern Recognition, Trigonometry, Mathematics

Access URL: https://doaj.org/article/017e07235b414097a3d16830a3acc917

Deep Cliques in Point Sets

Authors: Langerman, Stefan, Mydlarz, Marcelo, Welzl, Emo

Source: Discrete Comput Geom
Discrete & Computational Geometry, 72

Subject Terms: Artificial intelligence, Computational Mechanics, Depth measures, 0102 computer and information sciences, 01 natural sciences, Article, Engineering, k-Sets, Connected Component Labeling Algorithms, Informatique mathématique, j-Facets, Théorie des graphes, Géométrie combinatoire et convexité, 0101 mathematics, Isogeometric Analysis in Computational Engineering, Discrete Geometry, Halving lines, Cliques, Tukey depth, k-Degenerate graphs, Mesh Generation Algorithms, Computer Graphics and Computer-Aided Design, Computer science, Algorithm, Mathématiques, Computer Science, Physical Sciences, Computer Vision and Pattern Recognition

File Description: application/application/pdf; 1 full-text file(s): application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/39564520
http://hdl.handle.net/20.500.11850/652614

Enhancements in Circle Rendering: An Improved Approach to the Midpoint Circle Drawing Algorithm

Authors: N. Nithya, M. Javed Idrisi

Source: International Journal of Networked and Distributed Computing. 12:1-7

Subject Terms: Artificial intelligence, Mesh Refinement, Computational Mechanics, Geometry, 02 engineering and technology, Automated Reconstruction of Fragmented Objects, Engineering, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, Line Detection, Unit circle, Midpoint method, Computer graphics (images), Shape Optimization, Applied mathematics, Robust Line and Curve Detection using Hough Transform, Midpoint, Computer science, Edge Detection, Algorithm, Cartesian coordinate system, Computer Science, Physical Sciences, Computer Vision and Pattern Recognition, Circle Fitting, Rendering (computer graphics), Mathematics

Convexity and Monotonicity Preservation of Ternary 4-Point Approximating Subdivision Scheme

Authors: Ghazala Akram, M. Atta Ullah Khan, R. U. Gobithaasan, Maasoomah Sadaf, Muhammad Abbas

Source: Journal of Mathematics, Vol 2023 (2023)

Subject Terms: Financial economics, History, Ternary operation, Economics, Kinematic and Dynamic Analysis of Robot Manipulators, Computational Mechanics, FOS: Mechanical engineering, Geometry, 02 engineering and technology, 01 natural sciences, Mathematical analysis, Convexity, Engineering, Point (geometry), QA1-939, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 0101 mathematics, Isogeometric Analysis in Computational Engineering, Advanced Monitoring of Machining Operations, Scheme (mathematics), Curvature, Mechanical Engineering, Mathematical optimization, Shape Optimization, Discrete mathematics, Applied mathematics, Cutting Parameters, Computer science, Programming language, Regular polygon, Archaeology, Control and Systems Engineering, Physical Sciences, Subdivision, Monotone polygon, Mathematics, Monotonic function

File Description: text/xhtml

Access URL: https://doaj.org/article/caf52e5f139b4a84ae7a0f777acbb979

Trifocal Relative Pose From Lines at Points

Authors: Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret H. Regan, David da Costa de Pinho, Elias Tsigaridas, Charles W. Wampler, Jonathan D. Hauenstein, Peter Giblin, Benjamin B. Kimia, Anton Leykin, Tomáš Pajdla

Contributors: Guha, Kumar

Source: IEEE Transactions on Pattern Analysis and Machine Intelligence. 45:7870-7884

Subject Terms: Stereo Vision and Depth Estimation, Artificial intelligence, Pose, Monocular Depth Estimation, Line (geometry), Feature (linguistics), Line segment, Computational Mechanics, Aerospace Engineering, FOS: Mechanical engineering, Geometry, 02 engineering and technology, Simultaneous Localization and Mapping, [INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV], Engineering, FOS: Mathematics, Image (mathematics), 0202 electrical engineering, electronic engineering, information engineering, Initialization, Isogeometric Analysis in Computational Engineering, Scale-invariant feature transform, Mathematical optimization, Orientation (vector space), Linguistics, Computer science, FOS: Philosophy, ethics and religion, Programming language, Algorithm, Philosophy, Solver, Computer Science, Physical Sciences, Vanishing point, FOS: Languages and literature, Feature extraction, Computer vision, Computer Vision and Pattern Recognition, Mathematics

File Description: application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/37819794
https://inria.hal.science/hal-04226115v1/document
https://inria.hal.science/hal-04226115v1
https://doi.org/10.1109/tpami.2022.3226165

Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations

Authors: M.-Y. Nour, A. Lamnii, Ahmed Zidna, D. Barrera

Contributors: Ramel, Jean-Yves

Source: Digibug. Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)

Subject Terms: Error estimate, Hammerstein integral equation, Quadrature Formulas, Computational Mechanics, Structural engineering, [INFO] Computer Science [cs], Quasi-interpolation, Quadrature (astronomy), Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Spline (mechanical), Gaussian quadrature, FOS: Mathematics, Spline interpolation, Isogeometric Analysis in Computational Engineering, Clenshaw–Curtis quadrature, UE-splines, Integral equation, Numerical Analysis, Computer graphics (images), Fredholm integral equation, Statistics, Gauss–Kronrod quadrature formula, Bilinear interpolation, Nyström method, Animation, Applied mathematics, Computer science, Fracture Mechanics Modeling and Simulation, Mechanics of Materials, Electrical engineering, Physical Sciences, Numerical integration, Interpolation (computer graphics), Marsden's identity, Trigonometry, Mathematics, Numerical analysis

Access URL: https://hdl.handle.net/10481/83743

Shape-Preserving Curve and Surface Data Embedding Algorithm

Authors: Farheen Ibraheem, Shamaila Samreen, Muhammad Bilal Riaz, Tayba Arooj

Source: Scientific Inquiry and Review. 7:1-37

Subject Terms: MATLAB, Artificial intelligence, Cubic function, Computational Mechanics, Geometry, Evolutionary biology, Mathematical analysis, Shape Representation, Surface Parameterization, Engineering, Convex function, FOS: Mathematics, Curve fitting, Computer Graphics and Visualization Techniques, Analysis of Three-Dimensional Shape Structures, Isogeometric Analysis in Computational Engineering, Data mining, Biology, Visualization, Scheme (mathematics), Mathematical optimization, Statistics, Shape Optimization, Rational function, Quadratic equation, Applied mathematics, Computer Graphics and Computer-Aided Design, Computer science, Regular polygon, Algorithm, Quadratic function, Operating system, Piecewise, Function (biology), Physical Sciences, Computer Science, Surface (topology), Mathematics, Embedding

Iterated and mixed discriminants

Authors: Alicia Dickenstein, Sandra Di Rocco, Ralph Morrison

Source: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas

Subject Terms: ALGEBRAIC VARIETIES, Artificial intelligence, DISCRIMINANTS, Computational Mechanics, ITERATED DISCRIMINANT, Geometry, Symbolic Computing in Algebraic Geometry and Cryptography, Quadric, Mathematical analysis, 01 natural sciences, Mathematics - Algebraic Geometry, Engineering, POLYNOMIAL SYSTEMS, Codimension, FOS: Mathematics, 0101 mathematics, MIXED DISCRIMINANT, Isogeometric Analysis in Computational Engineering, Algebraic Geometry (math.AG), Tangent, Multivariate Polynomials, Pure mathematics, SEGRE-VERONESE VARIETIES, Computer science, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Tangent space, DUAL VARIETY, Iterated function, Mathematics, Discriminant

File Description: application/pdf

Access URL: http://arxiv.org/abs/2101.11571
http://hdl.handle.net/11336/226860

A semigroup defining the Gröbner degeneration of a toric ideal

Authors: Casillas, Hernán de Alba, Duarte, Daniel, Antuna, Raúl Vargas

Source: Semigroup Forum. 106:569-588

Subject Terms: Algebraic number, Monomial Ideals and Algebraic Properties, Computational Mechanics, Semigroup, Symbolic Computing in Algebraic Geometry and Cryptography, Epistemology, Commutative Algebra (math.AC), Mathematical analysis, Engineering, Betti number, FOS: Mathematics, Mathematics - Combinatorics, Isogeometric Analysis in Computational Engineering, Ideal (ethics), Algebra over a field, Algebra and Number Theory, Toric Algebra, Pure mathematics, Discrete mathematics, Mathematics - Commutative Algebra, FOS: Philosophy, ethics and religion, Philosophy, Computational Theory and Mathematics, Physical Sciences, Computer Science, Combinatorics (math.CO), Uniqueness, Mathematics

Access URL: http://arxiv.org/abs/2201.04220

Integrable deformations from twistor space

Authors: Lewis T. Cole, Ryan A. Cullinan, Ben Hoare, Joaquín Liniado, Daniel C. Thompson

Contributors: Physics

Source: SciPost Physics, Vol 17, Iss 1, p 008 (2024)

Subject Terms: High Energy Physics - Theory, QC1-999, Biomedical Engineering, Computational Mechanics, FOS: Physical sciences, 81T13, 81R25, FOS: Medical engineering, Space (punctuation), Twistor space, Mathematical analysis, 01 natural sciences, Twistor theory, Engineering, Elasticity Tensor, 0103 physical sciences, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, Integrable system, Biomechanical Modeling of Arterial Tissues, Physics, Symplectic Topology and Knot Invariants, Shape Optimization, Knot Invariants, Computer science, Holomorphic Disks, Contact Geometry, Operating system, High Energy Physics - Theory (hep-th), Mathematical physics, Physical Sciences, Geometry and Topology, Mathematics

Access URL: http://arxiv.org/abs/2311.17551
https://doaj.org/article/53658370cfaa49209f36510bb022151c
https://biblio.vub.ac.be/vubir/integrable-deformations-from-twistor-space(4aeffc7f-c879-44a7-b2b9-e26c9b5f8420).html

Modeling of curves by a design-control approximating refinement scheme

Authors: Rabia Hameed, Ghulam Mustafa, Jihad Younis, Mohamed A. Abd El Salam

Source: Arab Journal of Basic and Applied Sciences, Vol 30, Iss 1, Pp 164-178 (2023)

Subject Terms: 65D07, Economics, Kinematic and Dynamic Analysis of Robot Manipulators, Computational Mechanics, Translation (biology), Biochemistry, Gene, Engineering, Displacement (psychology), 11. Sustainability, design-control parameter, Psychology, Gibbs oscillation, 65D10, Isogeometric Analysis in Computational Engineering, Position (finance), Messenger RNA, 4. Education, Mathematical optimization, Statistics, Mesh Generation Algorithms, Computer Graphics and Computer-Aided Design, Algorithm, FOS: Psychology, Chemistry, Physical Sciences, Calibration, Approximation Algorithms, Science, Mesh Refinement, Flexibility (engineering), Geometry, Mathematical analysis, Point (geometry), Control point, FOS: Mathematics, curve, Scheme (mathematics), Arithmetic, Shape Optimization, Applied mathematics, Computer science, Control and Systems Engineering, Dynamic Modeling, Computer Science, Psychotherapist, Approximating refinement scheme, Binary number, Mathematics, Finance

Access URL: https://doaj.org/article/e025d479b8d34738b4f78c5b1eb3db9b

Quasi-interpolation in Spline Spaces: Local Stability and Approximation Properties

Authors: M. E. Castillo, Eduardo M. Garau

Source: Trends in Computational and Applied Mathematics, Vol 24, Iss 1 (2023)
Trends in Computational and Applied Mathematics, Volume: 24, Issue: 1, Pages: 18-9, Published: 27 MAR 2023

Subject Terms: Computational Mechanics, Structural engineering, Epistemology, Mathematical analysis, Engineering, Spline (mechanical), Finite Element Methods for Fluid-Structure Interaction, B-splines, Machine learning, QA1-939, FOS: Mathematics, Spline interpolation, Isogeometric Analysis in Computational Engineering, Stability (learning theory), Computer graphics (images), Thin plate spline, Mathematical optimization, Statistics, Shape Optimization, Bilinear interpolation, stability, Animation, Sobolev space, Applied mathematics, Polyharmonic spline, Computer science, spline approximation, FOS: Philosophy, ethics and religion, Fracture Mechanics Modeling and Simulation, Philosophy, Stabilized Methods, Mechanics of Materials, Physical Sciences, quasi-interpolation, Simple (philosophy), Interpolation (computer graphics), Mathematics

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Access URL: https://doaj.org/article/094e662dd6fb423abd504b0767d78386
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292023000100009&lng=en&tlng=en

Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

Authors: Soufiane Montassir, Hassane Moustabchir, Ahmed Elkhalfi

Source: Statistics, Optimization & Information Computing. 11:106-115

Subject Terms: Composite material, Finite element method, Fracture (geology), Computational Mechanics, FOS: Mechanical engineering, Structural engineering, Stress field, Surface Roughness, Structural Analysis, Stress (linguistics), Mathematical analysis, Polynomial, Engineering, Spline (mechanical), Fracture mechanics, FOS: Mathematics, Spline interpolation, Isogeometric Analysis in Computational Engineering, Advanced Monitoring of Machining Operations, Stress intensity factor, Lagrange polynomial, Computer graphics (images), Mechanical Engineering, 4. Education, Statistics, Linguistics, Bilinear interpolation, Animation, Applied mathematics, Computer science, Materials science, FOS: Philosophy, ethics and religion, Isogeometric analysis, Philosophy, NURBS, Physical Sciences, FOS: Languages and literature, Interpolation (computer graphics), Basis function, Dimensional Metrology and Error Compensation, Mathematics

Graphical and Numerical Study of a Newly Developed Root-Finding Algorithm and Its Engineering Applications

Authors: Amir Naseem, M. A. Rehman, Sania Qureshi, Nasr Al Din Ide

Source: IEEE Access, Vol 11, Pp 2375-2383 (2023)

Subject Terms: 0209 industrial biotechnology, Halley's scheme, Economics, Quintic function, Computational Mechanics, 02 engineering and technology, non-linearity, Quantum mechanics, convergence-order, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Engineering, FOS: Mathematics, Root (linguistics), 0202 electrical engineering, electronic engineering, information engineering, Isogeometric Analysis in Computational Engineering, Floating-Point Arithmetic in Scientific Computation, Economic growth, Accuracy-Guaranteed Bit-Width Optimization, Numerical Analysis, Computer network, Physics, Mathematical optimization, Linguistics, Derivative-Free Methods, Rate of convergence, dynamical aspects, Computer science, TK1-9971, FOS: Philosophy, ethics and religion, Computational algorithms, Algorithm, Philosophy, Computational Theory and Mathematics, Root-finding algorithm, Channel (broadcasting), Physical Sciences, Computer Science, Convergence (economics), FOS: Languages and literature, Nonlinear system, Electrical engineering. Electronics. Nuclear engineering, Iterative Methods, Mathematics

Access URL: https://doaj.org/article/34c21ddc15c3400aade1e358a540391f

On the equiform geometry of special curves in hyperbolic and de Sitter planes

Authors: A. A. Abdel-Salam, M. I. Elashiry, M. Khalifa Saad

Source: AIMS Mathematics, Vol 8, Iss 8, Pp 18435-18454 (2023)

Subject Terms: Symmetry (geometry), Computational Mechanics, Geometry, Mathematical analysis, Engineering, de sitter plane, QA1-939, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, evolute curve, frontal curves, Foundations of Geometric Mathematics, Applied Mathematics, Physics, Shape Optimization, Pure mathematics, Optimal Transport in Geometry and Analysis, Gravitational singularity, 16. Peace & justice, hyperbolic plane, Physical Sciences, involute curve, Thermodynamics, Geometry and Topology, Differential (mechanical device), Mathematics, Involute

Access URL: https://doaj.org/article/a3e9f52b44fd4c18bebf61cd8bc03bd7

Designing Software to Analyze Sewing Process of Industrial Knitted Products

Authors: Phan Thanh Thao, Nguyen Thanh Hung, Pham Thi Le My, Nguyen Xuan Hiep, Duy-Nam Phan

Source: Computer Systems Science and Engineering. 44:1837-1852

Subject Terms: Polymers and Plastics, Economics, Engineering drawing, Materials Science, Computational Mechanics, Macroeconomics, FOS: Mechanical engineering, Set (abstract data type), Epistemology, 02 engineering and technology, Industrial and Manufacturing Engineering, 12. Responsible consumption, Engineering, Sewing machine, 0202 electrical engineering, electronic engineering, information engineering, Production (economics), Isogeometric Analysis in Computational Engineering, Productivity, Assembly Line Balancing, Optimization of Assembly Line Balancing Problems, Computer science, Mechanical engineering, Process (computing), Industrial engineering, FOS: Philosophy, ethics and religion, Programming language, Science of Clothing Comfort and Textile Properties, Manufacturing engineering, Production line, Philosophy, Operating system, Physical Sciences, 8. Economic growth, Quality (philosophy), Textile Engineering, Software, Fabric Testing

Univariate rational sums of squares

Authors: Teresa Krick, Bernard Mourrain, Ágnes Szántó

Contributors: Mourrain, Bernard

Source: Revista de la Unión Matemática Argentina. :215-237

Subject Terms: Sum of Squares, Computational Mechanics, Symbolic Computing in Algebraic Geometry and Cryptography, 0102 computer and information sciences, Polynomial, Mathematical analysis, 01 natural sciences, Mathematics - Algebraic Geometry, Engineering, Prime (order theory), Univariate, FOS: Mathematics, Modulo, Positive polynomials, Convex cone, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Isogeometric Analysis in Computational Engineering, Algebraic Geometry (math.AG), Exact computation, Arithmetic, Multivariate Polynomials, Zero (linguistics), Statistics, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Rational function, Pure mathematics, Linguistics, Discrete mathematics, Multivariate statistics, FOS: Philosophy, ethics and religion, Semi-Definite Matrix, Certificate, Philosophy, Real roots, Computational Theory and Mathematics, Explained sum of squares, Combinatorics, Computer Science, Physical Sciences, FOS: Languages and literature, Mathematics

File Description: application/pdf

Access URL: http://arxiv.org/abs/2112.00490
https://hal.science/hal-03442193v2/document
https://doi.org/10.33044/revuma.2904
https://hal.science/hal-03442193v2

Aninvestigation Of Winding Number Of A Closed Planar Curve

Authors: William Obeng–Denteh, Nicholas Tetteh Ofoe

Source: Global Journal of Pure and Applied Sciences; Vol. 28 No. 2 (2022); 171-175

Subject Terms: Biomedical Engineering, Computational Mechanics, Geometry, FOS: Medical engineering, Structural Analysis, Plane (geometry), Mathematical analysis, 01 natural sciences, Plane curve, Engineering, Range (aeronautics), Point (geometry), FOS: Mathematics, Arc length, 0101 mathematics, Isogeometric Analysis in Computational Engineering, Winding number, Computer graphics (images), Geometric Modeling and Nanomaterial Applications in Engineering, Computer science, Arc (geometry), Aerospace engineering, Physical Sciences, Planar, winding number, plane, closed curve, loops, homotopy, rotation, continuous deformation, Mathematics

File Description: application/pdf

Access URL: https://www.ajol.info/index.php/gjpas/article/view/234513