Results 71 to 80 of about 2,447,855 (258)

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

Unveiling Mathematical Elegance: Exploring The Synergy Between Algebra and Geometry

AL-ISHLAH: Jurnal Pendidikan
In today’s dynamic and complex society, the ability to represent mathematical concepts and solve real-world problems is essential for mathematics education students. This study explores how algebraic and geometric representations can be synergized to solve environmental problems commonly faced in everyday life, particularly through the “builder’s ...
Muhammad Aswal Anshari, Mukhlis Mukhlis, Abd. Kadir Jaelani   +2 more
openaire   +1 more source

Hyperbolic Rotations With Hybrid Numbers

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk, Hasan Çakır, Mustafa Özdemir   +2 more
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions

, 2002
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.Includes bibliographical references (p. 239-240).Enumerative geometry of algebraic varieties is a fascinating field of mathematics that dates back to the nineteenth ...
Zinger, Aleksey, 1975-
core  

Metric Algebraic Geometry

Oberwolfach Seminar: Metric Algebraic Geometry 2322bOberwolfach Seminar: Metric Algebraic Geometry 2322bMetric algebraic geometry combines concepts from algebraic geometry and differential geometry.
Sturmfels, Bernd, Breiding, Paul, Kohn, Kathlén   +2 more
core   +1 more source

Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
wiley   +1 more source

Gemischte Volumina, gemischte Ehrhart-Theorie und deren Anwendungen in tropischer Geometry und Gestaengekonfigurationsproblemen [PDF]

, 2009
The aim of this thesis is the discussion of mixed volumes, their interplay with algebraic geometry, discrete geometry and tropical geometry and their use in applications such as linkage configuration problems.
Steffens, Reinhard
core  

Design and Multibody Dynamics Modeling of a Novel High‐Static‐Low‐Dynamic‐Stiffness Vibration Isolation Mechanism Based on Euler Buckling Characteristics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Vibration isolation has long been a critical area of research, with the design of isolators based on the mechanical properties of Euler buckling beams representing one of the primary approaches. Traditionally, the focus has been on utilizing the negative stiffness characteristics of a post‐buckled Euler beam in parallel with positive stiffness
Yichang Feng, Yongpeng Gu, Gexue Ren, Suyuan Yu   +3 more
wiley   +1 more source

Non-Euclidean geometry and Weierstrassian mathematics: The background to Killing's work on Lie algebras

Historia Mathematica, 1980
Between 1888 and 1890 Wilhelm Killing published a series of papers in the Mathematische Annalen entitled ``Die Zusammensetzung der stetigen endlichen Transformationsgruppen''. The entire theory of the structure of semisimple Lie algebras originates in these papers. The author discusses in detail the question how and why W.
openaire   +3 more sources