Engineering › Biomedical Engineering

Advanced Theoretical and Applied Studies in Material Sciences and Geometry

Works Count: 47625

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This cluster of papers focuses on the application of nanomaterials, geometric modeling, and mathematical simulation in engineering. It covers topics such as nanomaterial-based polymer nanocomposites, technological equipment with electrohydraulic drives, vortex chamber pumps, and sustainable energy development. Additionally, it explores the use of descriptive geometry in modeling and design processes.

Keywords

Nanomaterials; Geometric Modeling; Mathematical Simulation; Polymer Nanocomposites; Technological Equipment; Descriptive Geometry; Metal Nanoparticles; Electrohydraulic Drive; Vortex Chamber Pump; Sustainable Energy

The Method of Fractional Steps

1971-01-01

N. N. Yanenko

Using Algebraic Geometry

2005-01-01

David A. Cox , John B. Little , Donal O’Shea

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Computer graphics: principles and practice

2013-12-19

James D. Foley

1. Introduction. Image Processing as Picture Analysis. The Advantages of Interactive Graphics. Representative Uses of Computer Graphics. Classification of Applications. Development of Hardware and Software for Computer Graphics. Conceptual Framework … 1. Introduction. Image Processing as Picture Analysis. The Advantages of Interactive Graphics. Representative Uses of Computer Graphics. Classification of Applications. Development of Hardware and Software for Computer Graphics. Conceptual Framework for Interactive Graphics. 2. Programming in the Simple Raster Graphics Package (SRGP)/. Drawing with SRGP/. Basic Interaction Handling/. Raster Graphics Features/. Limitations of SRGP/. 3. Basic Raster Graphics Algorithms for Drawing 2d Primitives. Overview. Scan Converting Lines. Scan Converting Circles. Scan Convertiing Ellipses. Filling Rectangles. Fillign Polygons. Filling Ellipse Arcs. Pattern Filling. Thick Primiives. Line Style and Pen Style. Clipping in a Raster World. Clipping Lines. Clipping Circles and Ellipses. Clipping Polygons. Generating Characters. SRGP_copyPixel. Antialiasing. 4. Graphics Hardware. Hardcopy Technologies. Display Technologies. Raster-Scan Display Systems. The Video Controller. Random-Scan Display Processor. Input Devices for Operator Interaction. Image Scanners. 5. Geometrical Transformations. 2D Transformations. Homogeneous Coordinates and Matrix Representation of 2D Transformations. Composition of 2D Transformations. The Window-to-Viewport Transformation. Efficiency. Matrix Representation of 3D Transformations. Composition of 3D Transformations. Transformations as a Change in Coordinate System. 6. Viewing in 3D. Projections. Specifying an Arbitrary 3D View. Examples of 3D Viewing. The Mathematics of Planar Geometric Projections. Implementing Planar Geometric Projections. Coordinate Systems. 7. Object Hierarchy and Simple PHIGS (SPHIGS). Geometric Modeling. Characteristics of Retained-Mode Graphics Packages. Defining and Displaying Structures. Modeling Transformations. Hierarchical Structure Networks. Matrix Composition in Display Traversal. Appearance-Attribute Handling in Hierarchy. Screen Updating and Rendering Modes. Structure Network Editing for Dynamic Effects. Interaction. Additional Output Features. Implementation Issues. Optimizing Display of Hierarchical Models. Limitations of Hierarchical Modeling in PHIGS. Alternative Forms of Hierarchical Modeling. 8. Input Devices, Interaction Techniques, and Interaction Tasks. Interaction Hardware. Basic Interaction Tasks. Composite Interaction Tasks. 9. Dialogue Design. The Form and Content of User-Computer Dialogues. User-Interfaces Styles. Important Design Considerations. Modes and Syntax. Visual Design. The Design Methodology. 10. User Interface Software. Basic Interaction-Handling Models. Windows-Management Systems. Output Handling in Window Systems. Input Handling in Window Systems. Interaction-Technique Toolkits. User-Interface Management Systems. 11. Representing Curves and Surfaces. Polygon Meshes. Parametric Cubic Curves. Parametric Bicubic Surfaces. Quadric Surfaces. 12. Solid Modeling. Representing Solids. Regularized Boolean Set Operations. Primitive Instancing. Sweep Representations. Boundary Representations. Spatial-Partitioning Representations. Constructive Solid Geometry. Comparison of Representations. User Interfaces for Solid Modeling. 13. Achromatic and Colored Light. Achromatic Light. Chromatic Color. Color Models for Raster Graphics. Reproducing Color. Using Color in Computer Graphics. 14. The Quest for Visual Realism. Why Realism? Fundamental Difficulties. Rendering Techniques for Line Drawings. Rendering Techniques for Shaded Images. Improved Object Models. Dynamics. Stereopsis. Improved Displays. Interacting with Our Other Senses. Aliasing and Antialiasing. 15. Visible-Surface Determination. Functions of Two Variables. Techniques for Efficient Visible-Surface Determination. Algorithms for Visible-Line Determination. The z-Buffer Algorithm. List-Priority Algorithms. Scan-Line Algorithms. Area-Subdivision Algorithms. Algorithms for Octrees. Algorithms for Curved Surfaces. Visible-Surface Ray Tracing. 16. Illumination And Shading. Illumination Modeling. Shading Models for Polygons. Surface Detail. Shadows. Transparency. Interobject Reflections. Physically Based Illumination Models. Extended Light Sources. Spectral Sampling. Improving the Camera Model. Global Illumination Algorithms. Recursive Ray Tracing. Radiosity Methods. The Rendering Pipeline. 17. Image Manipulation and Storage. What Is an Image? Filtering. Image Processing. Geometric Transformations of Images. Multipass Transformations. Image Compositing. Mechanisms for Image Storage. Special Effects with Images. Summary. 18. Advanced Raster Graphic Architecture. Simple Raster-Display System. Display-Processor Systems. Standard Graphics Pipeline. Introduction to Multiprocessing. Pipeline Front-End Architecture. Parallel Front-End Architectures. Multiprocessor Rasterization Architectures. Image-Parallel Rasterization. Object-Parallel Rasterization. Hybrid-Parallel Rasterization. Enhanced Display Capabilities. 19. Advanced Geometric and Raster Algorithms. Clipping. Scan-Converting Primitives. Antialiasing. The Special Problems of Text. Filling Algorithms. Making copyPixel Fast. The Shape Data Structure and Shape Algebra. Managing Windows with bitBlt. Page Description Languages. 20. Advanced Modeling Techniques. Extensions of Previous Techniques. Procedural Models. Fractal Models. Grammar-Based Models. Particle Systems. Volume Rendering. Physically Based Modeling. Special Models for Natural and Synthetic Objects. Automating Object Placement. 21. Animation. Conventional and Computer-Assisted Animation. Animation Languages. Methods of Controlling Animation. Basic Rules of Animation. Problems Peculiar to Animation. Appendix: Mathematics for Computer Graphics. Vector Spaces and Affine Spaces. Some Standard Constructions in Vector Spaces. Dot Products and Distances. Matrices. Linear and Affine Transformations. Eigenvalues and Eigenvectors. Newton-Raphson Iteration for Root Finding. Bibliography. Index. 0201848406T04062001

Progress in solid mechanics

1963-01-01

I. N. Sneddon , Rodney Hill

Introduction to Mechanics and Symmetry

1999-01-01

Jerrold E. Marsden , Tudor S. Raţiu

Geometry of Algebraic Curves

1985-01-01

Enrico Arbarello , Maurizio Cornalba , P. A. Griffiths +1 more

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Convex Models of Uncertainty in Applied Mechanics

1990-01-01

Yakov Ben‐Haim , Isaac Elishakoff

Differential geometry of curves and surfaces

2011-02-01

Manfredo Perdigão do Carmo

1. Curves: Parametrized Curves. 2. Regular Surfaces: Regular Surfaces Inverse Images of Regular Values. 3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. … 1. Curves: Parametrized Curves. 2. Regular Surfaces: Regular Surfaces Inverse Images of Regular Values. 3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties. 4. Intrinsic Geometry of Surfaces: Isometrics Conformal Maps. 5. Global Differential Geometry: Rigidity of the Sphere.

Extrinsic Geometry of Convex Surfaces

1973-01-01

А. В. Погорелов

Numerical Geometry of Non-Rigid Shapes

2008-09-12

Alexander M. Bronstein , Michael M. Bronstein , Ron Kimmel

Fundamentals of Computer Aided Geometric Design.

1995-04-01

E. W. C. , Josef Hoschek , Dieter Lasser +1 more

A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools. This comprehensive guide is a handbook for students and … A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools. This comprehensive guide is a handbook for students and practitioners and includes an extensive bibliography for further study.

43. On Deformations of Complex Analytic Structures, I

2015-04-21

K. Kodaira , D. C. Spencer

Choosing a Point from the Surface of a Sphere

1972-04-01

George Marsaglia

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An Introduction to the Mathematical Theory of Finite Elements.

1978-04-01

R. Glowinski , J. Tinsley Oden , J. N. Reddy

The finite difference method at arbitrary irregular grids and its application in applied mechanics

1980-02-01

Tadeusz Liszka , Janusz Orkisz

Curves and Surfaces in Computer Aided Geometric Design

1990-05-01

Charles E. Anderson , Fujio Yamaguchi

This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bzier and B-spline curves and surfaces. The materials are classified and arranged in … This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bzier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.

Principles of optimal design-modeling and computation

1989-07-01

Panos Y. Papalambros , Douglass J. Wilde

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Algebraic Projective Geometry.

1953-05-01

W. F. Atchison , J. G. Semple , G. T. Kneebone

PART 1: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE PART 2: ABSTRACT PROJECTIVE GEOMETRY PART 1: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE PART 2: ABSTRACT PROJECTIVE GEOMETRY

Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures

1959-07-10

F. C. Frank , J. S. Kasper

The general principles and properties which have been deduced previously (Frank & Kasper, 1958) for the class of alloy structures with triangulated coordination polyhedra are applied in an analysis and … The general principles and properties which have been deduced previously (Frank & Kasper, 1958) for the class of alloy structures with triangulated coordination polyhedra are applied in an analysis and classification of representative structures.In the main the analysis is with regard to the nature of layers and how they rpay be stacked and with regard to the nature of the major skeletons.Many hypothetical structures resulting from the analysis are listed and procedures are given for predicting other structure types.The relationship between alloy structures and inert gas hydrates is discussed.* Face-centered cubic.t Hexagonal close-packed.

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Morphological Stability of a Particle Growing by Diffusion or Heat Flow

1963-02-01

W. W. Mullins , Robert F. Sekerka

The stability of the shape of a spherical particle undergoing diffusion-controlled growth into an initially uniformly supersaturated matrix is studied by supposing an expansion, into spherical harmonics, of an infinitesimal … The stability of the shape of a spherical particle undergoing diffusion-controlled growth into an initially uniformly supersaturated matrix is studied by supposing an expansion, into spherical harmonics, of an infinitesimal deviation of the particle from sphericity and then calculating the time dependence of the coefficients of the expansion. It is assumed that the pertinent concentration field obeys Laplace's equation, an assumption whose conditions of validity are discussed in detail and are often satisfied in practice. A dispersion law is found for the rate of change of the amplitude of the various harmonics. It is shown that the sphere is stable below and unstable above a certain radius Rc, which is just seven times the critical radius of nucleation theory; analogous conclusions are obtained for the solidification problem. The results for the sphere are used to discuss the stability of nonspherical growth forms.

Introduction to the Theory and Application of the Laplace Transformation

1974-01-01

Gustav Doetsch

Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics.

1996-03-01

J. D. Howroyd , Dietrich Stoyan , Helga Stoyan

FRACTALS AND METHODS FOR THE DETERMINATION OF FRACTAL DIMENSIONS. Hausdorff Measure and Dimension. Deterministic Fractals. Random Fractals. Methods for the Empirical Determination of Fractal Dimension. THE STATISTICS OF SHAPES AND … FRACTALS AND METHODS FOR THE DETERMINATION OF FRACTAL DIMENSIONS. Hausdorff Measure and Dimension. Deterministic Fractals. Random Fractals. Methods for the Empirical Determination of Fractal Dimension. THE STATISTICS OF SHAPES AND FORMS. Fundamental Concepts. Representation of Contours. Set Theoretic Analysis. Point Description of Figures. Examples. POINT FIELD STATISTICS. Fundamentals. Finite Point Fields. Poisson Point Fields. Fundamentals of the Theory of Point Fields. Statistics for Homogeneous Point Fields. Point Field Models. Appendices. References. Index.

Discussion of a set of points in terms of their mutual distances

1938-03-01

Gale Young , A. S. Householder

Nanocomposites of polymers and metals or semiconductors: Historical background and optical properties

2000-07-01

Walter Caseri

Upon transmission of visible light through composites comprising of a transparent polymer matrix with embedded particles, the intensity loss by scattering is substantially reduced for particle diameters below 50–100 nm … Upon transmission of visible light through composites comprising of a transparent polymer matrix with embedded particles, the intensity loss by scattering is substantially reduced for particle diameters below 50–100 nm (nanoparticles, nanosized particles). As a consequence, related materials (nanocomposites) have found particular interest in optical studies. The first part of this article deals with a historical survey on nanoparticles and nanocomposites and the importance of small particle sizes on their optical properties. The second part focuses on results from our laboratory concerning nanocomposites with extremely high or low refractive indices and dichroic nanocomposites and their application in bicolored liquid crystal displays (LCD). The inorganic colloids required for these studies (lead sulfide, iron sulfides, gold, and silver) were prepared in situ in presence of a polymer or isolated as redispersable metal colloids modified at the surface with a self-assembled monolayer (SAM) of an alkanethiol. The nanocomposites themselves were finally obtained by coprecipitation, spin coating, solvent casting or melt extrusion, with poly(ethylene oxide), gelatin, poly(vinyl alcohol) and polyethylene as matrix polymers.

Calculus and Analytic Geometry

1985-03-01

M. Suffield , G. B. Thomas , Ross Lee Finney

(NOTE: Every chapter ends with Questions to Guide Your Review, Practice Exercises, and Additional Exercises.) P. Preliminaries. Real Numbers and the Real Line. Coordinates, Lines, and Increments. Functions. Shifting Graphs. … (NOTE: Every chapter ends with Questions to Guide Your Review, Practice Exercises, and Additional Exercises.) P. Preliminaries. Real Numbers and the Real Line. Coordinates, Lines, and Increments. Functions. Shifting Graphs. Trigonometric Functions. 1. Limits and Continuity. Rates of Change and Limits. Rules for Finding Limits. Target Values and Formal Definitions of Limits. Extensions of the Limit Concept. Continuity. Tangent Lines. 2. Derivatives. The Derivative of a Function. Differentiation Rules. Rates of Change. Derivatives of Trigonometric Functions. The Chain Rule. Implicit Differentiation and Rational Exponents. Related Rates of Change. 3. Applications of Derivatives. Extreme Values of Functions. The Mean Value Theorem. The First Derivative Test for Local Extreme Values. Graphing with y e and y . Limits as x a a, Asymptotes, and Dominant Terms. Optimization. Linearization and Differentials. Newton's Method. 4. Integration. Indefinite Integrals. Differential Equations, Initial Value Problems, and Mathematical Modeling. Integration by Substitution--Running the Chain Rule Backward. Estimating with Finite Sums. Riemann Sums and Definite Integrals. Properties, Area, and the Mean Value Theorem. Substitution in Definite Integrals. Numerical Integration. 5. Applications of Integrals. Areas Between Curves. Finding Volumes by Slicing. Volumes of Solids of Revolution--Disks and Washers. Cylindrical Shells. Lengths of Plan Curves. Areas of Surfaces of Revolution. Moments and Centers of Mass. Work. Fluid Pressures and Forces. The Basic Pattern and Other Modeling Applications. 6. Transcendental Functions. Inverse Functions and Their Derivatives. Natural Logarithms. The Exponential Function. ax and logax. Growth and Decay. L'Hopital's Rule. Relative Rates of Growth. Inverse Trigonomic Functions. Derivatives of Inverse Trigonometric Functions Integrals. Hyperbolic Functions. First Order Differential Equations. Euler's Numerical Method Slope Fields. 7. Techniques of Integration. Basic Integration Formulas. Integration by Parts. Partial Fractions. Trigonometric Substitutions. Integral Tables and CAS. Improper Integrals. 8. Infinite Series. Limits of Sequences of Numbers. Theorems for Calculating Limits of Sequences. Infinite Series. The Integral Test for Series of Nonnegative Terms. Comparison Tests for Series of Nonnegative Terms. The Ratio and Root Tests for Series of Nonnegative Terms. Alternating Series, Absolute and Conditional Convergence. Power Series. Taylor and Maclaurin Series. Convergence of Taylor Series Error Estimates. Applications of Power Series. 9. Conic Sections, Parametrized Curves, and Polar Coordinates. Conic Sections and Quadratic Equations. Classifying Conic Sections by Eccentricity. Quadratic Equations and Rotations. Parametrizations of Plan Curves. Calculus with Parametrized Curves. Polar Coordinates. Graphing in Polar Coordinates. Polar Equations for Conic Sections. Integration in Polar Coordinates. 10. Vectors and Analytic Geometry in Space. Vectors in the Plane. Cartesian (Rectangular) Coordinates and Vectors in Space. Dot Products. Cross Products. Lines and Planes in Space. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates. 11. Vector-Valued Functions and Motion in Space. Vector-Valued Functions and Space Curves. Modeling Projectile Motion. Arc Length and the Unit Tangent Vector T. Curvature, Torison, and the TNB Frame. Planetary Motion and Satellites. 12. Multivariable Functions and Partial Derivatives. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Differentiability, Linearization, and Differentials. The Chain Rule. Partial Derivatives with Constrained Variables. Directional Derivatives, Gradient Vectors, and Tangent Planes. Extreme Values and Saddle Points. Lagrange Multipliers. Taylor's Formula. 13. Multiple Integrals. Double Integrals. Areas, Moments, and Centers of Mass. Double Integrals in Polar Form. Triple Integrals in Rectangular Coordinates. Masses and Moments in Three Dimensions. Triple Integrals in Cylindrical and Spherical Coordinates. Substitutions in Multiple Integrals. 14. Integration in Vector Fields. Line Integrals. Vector Fields, Work, Circulation, and Flux. Path Independence, Potential Functions, and Conservative Fields. Green's Theorem in the Plane. Surface Area and Surface Integrals. Parametrized Surfaces. Stokes's Theorem. The Divergence Theorem and a Unified Theory. Appendices. Mathematical Induction. Proofs of Limit Theorems in Section 1.2. Complex Numbers. Simpson's One-Third Rule. Cauchy's Mean Value Theorem and the Stronger Form of L'Hopital's Rule. Limits that Arise Frequently. The Distributive Law for Vector Cross Products. Determinants and Cramer's Rule. Euler's Theorem and the Increment Theorem.

The Lagrangian theory of polymer solutions at intermediate concentrations

1975-01-01

J. des Cloizeaux

KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS

1986-07-01

Peter Goddard , DAVID OLIVE

Ueber die Berührung fester elastischer Körper.

1882-01-01

H. G. Hertz

The structure and chemistry of solid surfaces

1970-06-01

Henry Leidheiser , K. Klier

Progress in solid mechanics

1961-02-01

J. D. Eshelby

Singularities of Differentiable Maps

1988-01-01

Vladimir I. Arnold , S. M. Gusein‐Zade , Alexander Varchenko

The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of … The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critic

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Fundamentals of Differential Geometry

1999-01-01

Serge Lang

NONCOMMUTATIVE GEOMETRY

1995-10-01

Charlie Beil

A superpotential algebra is square if its quiver admits an embedding into a two-torus such that the image of its underlying graph is a square grid, possibly with diagonal edges … A superpotential algebra is square if its quiver admits an embedding into a two-torus such that the image of its underlying graph is a square grid, possibly with diagonal edges in the unit squares; examples are provided by dimer models in physics.Such an embedding reveals much of the algebras representation theory through a device we introduce called an impression.Let A be a square superpotential algebra, Z its center, and m the maximal ideal at the origin of Spec Z.Using an impression, we• give a classification of all simple A-modules up to isomorphism, and give algebraic and homological characterizations of the simple A-modules of maximal k-dimension; • show that Z is a 3-dimensional normal toric domain and Z m is Gorenstein, by determining transcendence bases and Z-regular sequences; and • show that A m is a noncommutative crepant resolution of Z m , and thus a local Calabi-Yau algebra.A particular class of square superpotential algebras, the Y p,q algebras, is considered in detail.We show that the Azumaya and smooth loci of the centers coincide, and propose that each ramified maximal ideal sitting over the singular locus is the exceptional locus of a blowup shrunk to zero size.

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Adsorption by Powders and Porous Solids

1999-01-01

Handbook of wood chemistry and wood composites

2005-10-01

Geometry of Algebraic Curves

2011-01-01

Enrico Arbarello , Maurizio Cornalba , Phillip Griffiths

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Using Algebraic Geometry

1998-01-01

David Cox , John B. Little , Donal O’Shea

Geometric Algorithms and Combinatorial Optimization

1993-01-01

Martin Grötschel , László Lovász , Alexander Schrijver

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Production of Polymer-Based Nanoparticles

2025-06-25

D. Bhadra , Sulekha Bhadra | CRC Press eBooks

Corrigendum to “Process optimization of superior biosorption capacity of biogenic oyster shells nanoparticles for Congo red and Bromothymol blue dyes removal from aqueous solution: Response surface methodology, equilibrium isotherm, kinetic, and reusability studies” [Alex. Eng. J. 92 (2024) 11–23]

2025-06-24

Adeleke Abdulrahman Oyekanmi , RC Omar , Kamil Kayode Katibi +5 more | Alexandria Engineering Journal

To determination of the stability of an articulated bus with a self-aligning trailer axle

2025-06-20

Volodymyr Sakhno , Ігор МУРОВАНИЙ , А. М. Котенко | Transport technologies

Recently, articulated buses with a capacity of 150-200 people have been increasingly used in passenger transportation. The overall length of such buses is limited to 18.5 meters. It is explained … Recently, articulated buses with a capacity of 150-200 people have been increasingly used in passenger transportation. The overall length of such buses is limited to 18.5 meters. It is explained by the need to meet regulatory requirements for maneuverability. In Ukraine, the Road Traffic Rules allow the total length of a road train to be 22 meters. With this length, the passenger capacity of the articulated bus increases significantly, but the issues of maneuverability and stability of such buses remain open. Preliminary studies have shown that even a bus with a total length of 18.75 m with an unmanageable trailer axle does not meet the requirements of regulatory documents for maneuverability. Using a self-aligning trailer axle meets the requirements for maneuverability even with an articulated bus length of up to 20.0 m. Still, the question of the stability of such a bus remains open. Using a specified mathematical model of a two-link road train adapted for an articulated bus with a self-aligning trailer axle, the stability indicators of an articulated bus in different driving modes were determined. It is shown that the critical velocity of the articulated bus with the blocked wheels of the trailer's self-aligning axle was 31.87 m/s, which significantly exceeds the maximum velocity of the bus. In the presence of a perturbation, the pattern of changes in the lateral and angular velocities of the articulated bus during the transition process at a velocity of 6 m/s is damped by a logarithmic law, which indicates the stability of the articulated bus movement. When the velocity is increased to 12 m/s, the pattern of changes in lateral and angular velocities also dampens. Still, there are more intense oscillations, which at a velocity of 14 m/s become divergent, leading to a loss of stability of the articulated bus. Similar results were obtained when the rotation of the articulated bus was 90 degrees. Thus, the maximum velocity of the articulated bus with unlocked wheels of the trailer's self-aligning axle should not exceed 14 m/s. When this velocity is reached, the wheels of the self-aligning axis should lock. It determines the field of application of the self-aligning trailer axle on articulated buses. For driving at higher velocities, fundamentally new control systems for the bus control and the articulated bus trailer are needed.

Tuning the strength of exceptional points and their transition to diabolic points

2025-06-20

Qi Zhong , Seth Nelson , Şahin Kaya Özdemir +1 more | Optics Letters

PROCESS MODEL OF GEOMETRIC DATA CREATION FOR BENCH DESIGN USING 3D PRINTER FOR CONSTRUCTION

2025-06-19

Rikito HIKIDA , Yuichi SHIMOKAWA | AIJ Journal of Technology and Design

Improved mathematical model of the hydraulic drive of the garbage truck’s sealing plate mechanism taking into account the wear of its hydraulic cylinder

2025-06-18

О. В. Березюк , V.I. Savulyak , V.O. Kharzhevskyi +1 more | PROBLEMS OF TRIBOLOGY

This article is dedicated to the improvement of the mathematical model of the hydraulic drive of the mechanism of the garbage truck’s sealing plate, taking into account the wear of … This article is dedicated to the improvement of the mathematical model of the hydraulic drive of the mechanism of the garbage truck’s sealing plate, taking into account the wear of the hydraulic cylinder. An improved nonlinear mathematical model of the operation of the hydraulic drive of the garbage truck’s sealing plate mechanism is proposed, which takes into account the wear of the hydraulic cylinder and allows to numerically study the dynamics of the drive and determine that taking into account the wear of the hydraulic cylinder significantly affects the main parameters of the hydraulic drive of the garbage truck’s sealing plate mechanism. This study of the mathematical model was carried out using the fourth-order numerical Runge-Kutta-Felberg method with an adaptive integration step. Graphical dependencies were plotted to compare changes in the main parameters of the hydraulic drive of the garbage truck’s sealing plate mechanism without taking into account the wear of the hydraulic cylinder and with taking into account the wear. It has been established that the creation of a linearized mathematical model of the hydraulic drive of the garbage truck’s sealing plate mechanism, taking into account the wear of the hydraulic cylinder

Teaching 3D engineering modeling and prototyping in Creo parametric in educational institutions

2025-06-18

Saniya Nariman , Maxot Rakhmetov , Gulshat Nurbekova +2 more | International Journal of Innovative Research and Scientific Studies

This article presents a comparative analysis of the capabilities of the Creo Parametric graphics system in comparison with other popular software products. Special attention is paid to the specifics of … This article presents a comparative analysis of the capabilities of the Creo Parametric graphics system in comparison with other popular software products. Special attention is paid to the specifics of working with assemblies in the full-featured NX CAD system, as well as the process of creating a three-dimensional model of a part in SolidWorks. The application areas of graphics systems such as NX and CATIA are also considered. The principle of building a 3D model in the T-FLEX CAD system is investigated. In addition, the possibilities, approaches, and principles of operation of applications of the Creo Parametric graphics system are analyzed. To improve the performance and quality of work in graphics systems, it is recommended to use each of them in those areas of industry where they demonstrate clear advantages. In the engineering industry, the use of the Creo Parametric CAD system is especially advantageous, as it allows you to combine two approaches — parametric and direct modeling. Furthermore, it is convenient to work with small applications and supports the import of formats from computer-aided design (CAD) systems from other manufacturers.

Efektivitas Pendekatan Open-Ended Berbantuan Platform Genially Terhadap Kemampuan Pemecahan Masalah Matematis Siswa

2025-06-17

Putri Diana Astuti , Ricki Yuliardi | Indo-MathEdu Intellectuals Journal

The purpose of this study was to measure the effectiveness of the open-ended approach assisted by the Genially platform on students' mathematical problem-solving abilities. The research method used was quantitative … The purpose of this study was to measure the effectiveness of the open-ended approach assisted by the Genially platform on students' mathematical problem-solving abilities. The research method used was quantitative with an experimental method. The design used was Quasi Experimental with a Non-equivalent Pretest-Posttest Control Group Design. The sampling technique used was purposive sampling, with two classes divided into one experimental class of 36 students who received the treatment and one control class of 36 students who did not receive the treatment. The total sample in this study was 72 students. The instruments used in the study were test questions (pretest & posttest) on mathematical problem-solving skills and a questionnaire. The data analysis techniques used were the independent sample t-test, the Mann-Whitney U test, N-Gain analysis, and questionnaire processing. The analysis of initial ability showed a Sig. (2-tailed) value of 0.482 ≥ 0.05. Therefore, there was no significant difference in the initial mathematical problem-solving ability of the students. After both classes were given different treatments, the results showed Sig. (2-tailed) 0.000 ≤ 0.05, indicating a significant difference in problem-solving ability between the control class and the experimental class. The questionnaire results showed that the students gave positive responses and demonstrated high interest. The open-ended approach and the Genially platform are effectively used in mathematics learning to enhance students' mathematical problem-solving skills.

Analytical Calculations for Particles with Other Shapes

2025-06-16

Kotaro Kajikawa , Takayuki Okamoto | CRC Press eBooks

Circling an Equilateral Triangle with Straightedge and Compass in Euclidean Geometry

2025-06-16

Tran Dinh Son | Scholars Journal of Physics Mathematics and Statistics

No scientific theory lasts forever, but specific research and discoveries continuously build upon each other. The three classic ancient Greek mathematical challenges likely referring to are “Doubling The Circle”, “Trisecting … No scientific theory lasts forever, but specific research and discoveries continuously build upon each other. The three classic ancient Greek mathematical challenges likely referring to are “Doubling The Circle”, “Trisecting An Angle” & “Squaring The Circle”, all famously proven Impossible under strict compass-and-straightedge constraints, by Pierre Wantzel (1837) using field theory and algebraic methods, then also by Ferdinand von Lindemann (1882) after proving π is transcendental. These original Greek challenges remain impossible under classical rules since their proofs rely on deep algebraic/transcendental properties settled in the 19th century. Recent claims may involve reinterpretations or unrelated advances but do overturn these conclusions above. Among these, the "Squaring The Circle" problem and related problems involving π have captivated both professional and amateur mathematicians for millennia. The title of this paper refers to the concept of "constructing a circle that has the exact area of a given equilateral triangle " or “Circling The Triangle”. This research idea arose after the “Squaring The Circle” problem was studied, solved and published in “SJPMS” in 2024 [8]. This paper presents an exact solution to constructing a circle that is concentric with and has the same area as any given regular triangle. The solution does not rely on the number π and adheres strictly to the constraints of Euclidean geometry, using only a straightedge and compass. The technique of “GEOMETRY ANALYSIS” is employed to solve this “Circling The Triangle” problem precisely and exactly with only a straightedge and compass, without altering any premise of the problem. This independent research demonstrates the solution to the challenge using only these tools. All mathematical tools and propositions in this solution are derived from Euclidean geometry. The methodology involves geometric methods to arrange the given regular triangle and its equal-area circle into a concentric po

OBTAINING MODIFIED WOOD WITH INCREASED STABILITY

2025-06-15

Vladimir Aleksandrovich Shamaev , Oleg Fedorovich Shishlov , Aleksey Aleksandrovich Kruzhilin +1 more | chemistry of plant raw material

The results of research on the expediency of replacing phenol-formaldehyde resins (KFK-10) used to increase the form stability of natural and pressed soft hardwood with natural environmentally friendly modifiers are … The results of research on the expediency of replacing phenol-formaldehyde resins (KFK-10) used to increase the form stability of natural and pressed soft hardwood with natural environmentally friendly modifiers are presented. Cardanol ZHSOK (cashew nut shell liquid) is considered as a stabilizing agent. It has been established that ZHSOK is an effective reactive modifier. Polymerization of cardanol should be carried out at a temperature of 150 °C. The maximum stabilizing effect occurs when the cardanol content in the wood is 9%. When alder was modified with cardanol, the wood samples turned out to be more resistant to moisture. Volumetric swelling is reduced by 40–70%, moisture absorption – by 21.4–50% in comparison with analogues modified by KFK-10. Compressive strength increased by 21.7–37.2% in comparison with KFK-10. The use of LCOCS will completely eliminate the toxicity of manufactured products.

ANALYTICAL MODEL OF GEOMETRIC PARAMETERS OF PSEUDO-LIQUID METAL CONTACTS AND CONDUCTIVE SURFACE

2025-06-15

Nadiia Hablovska | Наука і техніка сьогодні

Some mathematical models for flagellar activation mechanisms

2025-06-13

François Alouges , Irene Anello , Antonio DeSimone +2 more | Mathematical Models and Methods in Applied Sciences

A method of representing design solutions in complex systems through model-parametric spaces

2025-06-13

Oleksiy Rykhalskyy | Sustainable Engineering and Innovation ISSN 2712-0562

On the side of highly complicated systems, it is necessary to have powerful frameworks that can present solution design integration and visualization in the best possible manner, dealing with clarity, … On the side of highly complicated systems, it is necessary to have powerful frameworks that can present solution design integration and visualization in the best possible manner, dealing with clarity, scalability, and adaptability. This work aims to formulate an innovative approach for modeling design solutions using model-parametric spaces to create a systematically structured yet convenient method for dealing with multidimensional design complexities. This investigation is conducted within a mixed-method research design combining qualitative assessments of system architecture with quantitative modeling techniques to formulate parametric spaces where design variables and their interrelations are parameterized systematically. The validation of that methodology was done in a way that involves simulated operational scenarios and expert-driven evaluation, which shows the robustness and versatility of the understanding achieved using the approach in different fields of study. Results reveal the utility of model-parametric spaces in vastly increasing the interpretability, modularity, and optimization capability of complex design processes. Therefore, the study argues that this methodology framework is a solid and reasoned basis for decisions in the systems engineering domain and positively explains both research and industrial applications. These future research trajectories determined by this study include further extensive validation within actual project settings to make the developed software more applicable and impactful in the physical world.

Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings

2025-06-12

NULL AUTHOR_ID | Physical review. E

Methods of Defining Geometry of an Object in Three-dimensional Space for Polypoint Transformationsof Flow Distribution in Hydraulic Networks

2025-06-10

M.V. Horodetskyi , Iuliia Sydorenko | Èlektronnoe modelirovanie

The application of polypoint transformations to modeling the deformation of three-dimensional triangular meshes is considered. Three methods for representing the mesh geometry are pro-posed and analyzed: the intersection of the … The application of polypoint transformations to modeling the deformation of three-dimensional triangular meshes is considered. Three methods for representing the mesh geometry are pro-posed and analyzed: the intersection of the planes of a triangle and its normals, orthogonal pla-nes for each vertex, and the intersection of the planes of adjacent triangles. An experimental study was conducted to evaluate the efficiency of each method in modeling two types of non-linear deformations: twisting around the Z-axis and nonlinear volume expansion. The accuracy of shape recovery after deformation and the performance of the algorithms were evaluated. The research results showed that the best balance between accuracy and speed is achieved by the method of defining vertices through the intersection of the planes of adja-cent triangles. At the same time, its limitations were analyzed, particularly its dependence on the non-parallelism of planes, and the use of the Moore-Penrose pseudoinverse matrix was pro¬posed to resolve ambiguities in the transformations.

Computing entanglement costs of non-local operations on the basis of algebraic geometry

2025-06-03

Seiseki Akibue , Jisho Miyazaki , Hiroyuki Osaka

<title>Abstract</title> In the study of distributed quantum information processing, it is crucial to minimize the entanglement consumption by optimizing local operations and classical communications (LOCC). We develop a framework based … <title>Abstract</title> In the study of distributed quantum information processing, it is crucial to minimize the entanglement consumption by optimizing local operations and classical communications (LOCC). We develop a framework based on algebraic geometry to systematically simplify the optimization over separable (SEP) channels, providing a good approximation of LOCC. As a first application, we generalize previous results on the one-shot entanglement cost of non-local operations in a unified way. Via the generalization, we also resolve an open problem posed by Yu et al. regarding the entanglement cost of local state discrimination. As a second application, we strengthen the Doherty--Parrilo--Spedalieri hierarchy and numerically determine the trade-off between the entanglement cost and the success probability of implementing various non-local operations under separable channels---such as entanglement distillation, non-local unitary channels, measurements, and state verification.

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Material properties and governing equations

2025-06-01

Yury Grabovsky | IOP Publishing eBooks

Algorithmic pointing of the right moment of watering

2025-06-01

Agata Jędrzejuk , Marcin Bator , Robert Budzyński | Acta Horticulturae

STRUCTURAL-MECHANICAL (RHEOLOGICAL) PROPERTIES OF A GEL BASED ON POLYVINYL ALCOHOL

2025-05-31

Ivan S. Kozhevnikov , M. S. Fufaeva | IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY KHIMIYA KHIMICHESKAYA TEKHNOLOGIYA

In this work, the structural-mechanical (rheological) properties of a gel-forming system containing polyvinyl alcohol (gelling agent) and an alkaline composition based on an inorganic buffer system and a polyol (cross-linking … In this work, the structural-mechanical (rheological) properties of a gel-forming system containing polyvinyl alcohol (gelling agent) and an alkaline composition based on an inorganic buffer system and a polyol (cross-linking agent) were studied. Rheological measurements were carried out on a Haake Viscotester iQ rheometer equipped with a CC25 coaxial cylinder measuring system. Temperature control was carried out by a Peltier element built into the rheometer. In the oscillatory mode, at a rotor oscillation frequency of 1 Hz, amplitude sweeps were obtained for the gel formed from the initial compositions, and the LVE range was determined. Then, in the strain-controlled mode, at a strain value of 0.1 from the range of linear viscoelasticity, the kinetic dependences were obtained for the elastic modulus G', loss modulus G'' and complex viscosity |η*| for compositions that differ in the ratio of crosslinker components at room temperature. It was shown that in all studied systems, at the initial moments of time, a sharp increase in rheological characteristics is observed - a gel begins to form already at the moment of mixing the components. Further, over time, the rate of increase in G', G'' and |η*| decreases, and the rheokinetic curves reach an almost horizontal section - a three-dimensional structure - a gel - is formed in the entire volume of the sample. It was found that the recorded curves change symbatically under experimental conditions, and the ratio of the components of the complex module is related to the concentration of the crosslinker. For a composition with an increased crosslinker concentration, the elastic properties of the emerging structure predominate (G' > G''), while, compared to a less concentrated crosslinker composition, the strength of the structure increases, and the recorded values of the components of the complex modulus differ by an order of magnitude. For citation: Kozhevnikov I.S., Fufaeva M.S. Structural-mechanical (rheological) properties of a gel based on polyvinyl alcohol. ChemChemTech [Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol.]. 2025. V. 68. N 8. P. 20-25. DOI: 10.6060/ivkkt.20256808.4t.

Metric dimension: A review article

2025-05-29

Mudassar Nazar , Muhammad Azeem , Muhammad Kamran Jamil | Discrete Mathematics Algorithms and Applications

Methodological Aspects of Implementing Some Formulas of School Mathematics in University-Level Mathematical Analysis Course

2025-05-27

О. С. Сергеева | Bulletin of Kemerovo State University Series Humanities and Social Sciences

Continuity is very important at the intersection of school and higher education. In particular, it concerns the continuity of mathematical analysis at school and university. The school course of basic … Continuity is very important at the intersection of school and higher education. In particular, it concerns the continuity of mathematical analysis at school and university. The school course of basic mathematical analysis brings up mathematical culture and scientific outlook. It is crucial for higher education in physics, mathematics, and information technology. To structure the course of mathematical analysis and prevent possible difficulties, the university professor needs to actualize the existing knowledge and skills in first-year students by providing the continuity of theory and practice. The article describes the methodological approach to continuity for some mathematical formulas in the university course of mathematical analysis, i.e., the two-degree summation formulas of Newton’s binomial formula of reduced multiplication and the formula of the sum of infinitely decreasing geometric series. In algebra and mathematical analysis, these formulas are used to work with polynomials and analytic functions. These formulas and their generalized versions allow university students to use more rational and creative methods of mathematical analysis for calculating limits of sequences and functions. They provide a universal method that can be applied to problems of the theory of limits in the course of mathematical analysis at school and university. The case is an example of effective continuity of mathematical education in the school-university system.

ANALYSIS OF TOOLS FOR CREATING GRAPHIC IMAGES BASED ON 2D AND 3D MODELS

2025-05-27

L.O. Makarchuk , T.A. Likhouzova | System technologies

The study analyzes and defines the current state of technologies in creating graphic images and outlines the main problems that need to be solved. Key aspects of working with 2D … The study analyzes and defines the current state of technologies in creating graphic images and outlines the main problems that need to be solved. Key aspects of working with 2D and 3D graphics are highlighted, and the features of their combination are determined. Modern IT solutions in this area are analyzed, which makes it possible to assess the available technologies and their limitations. In particular, it was found that most existing software products are focused mainly on 2D graphics, while the integration of 3D elements remains insufficiently implemented or difficult for non-programmer users. The analysis identified the main shortcomings of the current technologies, including limited use of 3D objects in 2D compositions, insufficiently effective graphic layer management tools, and the lack of a cen-tralized search and reuse mechanism for materials. To solve these problems, possible ways of improvement were considered, including implementing a web application with extended sup-port for 3D graphics, intuitive interfaces, and an integrated resource search system.

ETİLEN-PROPİLEN POLİMERİNİN KLİNKERSİZ SEMENT DAŞININ MƏSAMƏLİ QURULUŞUNA TƏSİRİ

2025-05-26

Rübabə Məmmədova Rübabə Məmmədova , Lalə Həsənova Lalə Həsənova | ETM Equipment Technologies Materials

Müasir sement sənayesində portlantsementin çatışmadığı bir şəraitdə 200...300 markalı azklinkerli və klinkersiz yapışdırıcıların alınma texnologiyalarının yaradılması vacibdir. Digər tərəfdən yanacaq-enerji məsrəflərinin artdığı bir dövrdə istehsal prosesində onların sərfinin aşağı salınması … Müasir sement sənayesində portlantsementin çatışmadığı bir şəraitdə 200...300 markalı azklinkerli və klinkersiz yapışdırıcıların alınma texnologiyalarının yaradılması vacibdir. Digər tərəfdən yanacaq-enerji məsrəflərinin artdığı bir dövrdə istehsal prosesində onların sərfinin aşağı salınması buraxılan məhsulun səmərəliliyinin artırılması yollarından biri sayıla bilər. Ona görə də sement istehsalı sənayesində emal üçün daha az yanacaq-enerji məsrəfləri tələb edən və portlandsementə nisbətən 2...2,5 dəfə az kapital qoyuluşuna malik klinkersiz sementin istehsalı iqtisadi cəhətdən səmərəlidir. Hazırkı tədqiqat işində klinkersiz sement daşının məsaməli quruluşunun onun möhkəmliyinə təsiri araşdırılmışdır. Məlum olmuşdur ki, klinkersiz sement əsasında olan sement daşlarının məsaməli quruluşu, klinker sementinə nisbətən geniş diapazonda dəyişir. Ona görə də, klinkersiz sement daşının möhkəmliyini artırmaq üçün ən səmərəli üsullardan biri etilen-propilen polimerinin (heptanda 16%-li məhlulu) yapışdırıcının tərkibinə qatılmasıdır. Müəyyən olunmuşdur ki, etilen-propilen polimeri sement daşının məsaməli quruluşunu nizamlayaraq onun möhkəmliyini 20-25% artırmışdır. Açar sözlər: etilen-propilen polimeri, n-heptan, əhəng, seolit, kül, qips.

Study of the Beginning Stage of Crystallization of Numeral Concept

2025-05-26

Bhavana Singh

In this paper, we have tried our best to make attempts to study of beginning stage of the crystallization of numeral concept. In this paper, we have tried our best to make attempts to study of beginning stage of the crystallization of numeral concept.

Selective Enrichment of Fibrous Fragments Formed from Milled Carbon Fibers by Means of Gravitational Settling in a Liquid

2025-05-26

Nicolas Fischer , Kerstin Kämpf , Thomas M. Peters +5 more | Fibers

The aim to reduce health risks of workers related to inhalative exposure to potentially toxic dusts requires the selection of appropriate measures depending on the hazard classification of the dust-composing … The aim to reduce health risks of workers related to inhalative exposure to potentially toxic dusts requires the selection of appropriate measures depending on the hazard classification of the dust-composing materials. Due to their biodurability, respirable carbon fibers and their fragments can impose such health risks but are currently lacking hazard classification. Here, a method is presented for fragmenting carbon fiber materials and enriching fibrous fragments to a level that is expected to allow differentiating between fiber and particle overload-related toxic effects. The method was applied to a commercial polyacrylonitrile-based carbon fiber. It was ground in an oscillating ball mill, homogenized in a liquid using ultrasonication and left undisturbed for gravitational settling. This way, a vertical gradient in particle size and shape formed, from which the supernatant was collected. Fragment morphologies were characterized with large ensemble statistics by semi-automated evaluation of scanning electron microscopy images employing an artificial neural network for binary semantic segmentation. The number of fibrous fragments of respirable and thus critical fiber morphology was increased from 0.36×106 to 6×106 WHO-analog fibers per mg. This corresponds to a factor of about 15 compared to the initial ground material. Since the mass percentage of non-fibrous objects was also significantly reduced, the requirements for a subsequently scheduled toxicological study with intraperitoneal application were fulfilled. Intraperitoneal testing is an accepted method for assessing the carcinogenic potential of biopersistent fibers. The developed method allows enriching fibrous fractions of concern at acceptable throughput and enables testing fiber toxicological effects of respirable fragments from disintegrated polyacrylonitrile-based carbon fibers.

MIXTILINEAR EXCIRCLE ON THE ANGLE TRISECTOR OF A TRIANGLE

2025-05-25

Gebi Fionari , Mashadi Mashadi , Sukma Novia Syafitri

The most famous theorem on the angle trisector of a triangle is Morley’s theorem, namely the existence of an equilateral triangle formed from the trisector of its three angles. In … The most famous theorem on the angle trisector of a triangle is Morley’s theorem, namely the existence of an equilateral triangle formed from the trisector of its three angles. In this article, the mixtilinear excircle concept will be developed for triangles formed by constructing angle trisectors in a triangle. The results obtained will be expressed in the form of a theorem which states the ratio of several mixtilinear excircles whose value is equal to one. Apart from that, the ratio of several mixtilinear excircles can also be expressed in tangen form of the angles formed.

MIXTILINEAR EXCIRCLE ON THE ANGLE TRISECTOR OF A TRIANGLE

2025-05-25

Gebi Fionari , Mashadi Mashadi , Sukma Novia Syafitri

Formation of Hollow Nanoparticles by Inclusion and Decomposition of Azo Compounds and Their Properties

2025-05-24

Tetsuya Yamamoto