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Mathematical Modeling of Deployment Dynamics of Large Transformable Space Structures
Large-sized space structures with transformable configuration are multilink systems consisting of a large number of interconnected elements. The...
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RMSD Calculations for Comparing Protein Three-Dimensional Structures
The root Mean Square Deviation (RMSD) is a popular measure of structural similarity between protein structures in the field of bioinformatics. The...
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Dirac structures and Nijenhuis operators
We introduce a notion of compatibility between (almost) Dirac structures and (1,1)-tensor fields extending that of Poisson–Nijenhuis structures. We...
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Compactifications of indefinite 3-Sasaki structures and their quaternionic Kähler quotients
We show that 3-Sasaki structures admit a natural description in terms of projective differential geometry. First we establish that a 3-Sasaki...
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Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation
The discrete complex Ginzburg–Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating competitive dissipation and...
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Envelope Method and More General New Global Structures of Solutions for Multi-dimensional Conservation Law
For the two-dimensional (2D) scalar conservation law, when the initial data contain two different constant states and the initial discontinuous curve...
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Nonstationary Navier-Stokes Equations in Tube Structures
Chapter Nonstationary Navier–Stokes Equations in Tube Structures formulates the nonstationary initial boundary value problem for the Navier–Stokes...
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The Ax–Schanuel conjecture for variations of mixed Hodge structures
We prove in this paper, the Ax–Schanuel conjecture for all admissible variations of mixed Hodge structures.
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F3-Reconstruction and Bi-Founded 2-Structures
Two binary relational structures of a same signature are (≤ k )-hypomorphic if they have the same vertex set and their restrictions to each set of at...
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Correlated Structures in a Balanced Motion Interacting with an Internal Wave
Characterizing the loss of coherence of an internal tide propagating through mesoscale turbulence has been a major challenge in oceanography,...
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Structures and Categories
Bourbaki would have finally stumbled on epistemological difficulties: his initial programmatic conceptions proved unsatisfactory in view of...
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SKT structures on nilmanifolds
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds. More precisely, we give a negative answer to the...
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Numerical Modeling of the Deformation Behavior of Polymer Lattice Structures with a Density Gradient Based on Additive Technologies
AbstractThe mechanical behavior of graded lattice structures whose geometry is created on the basis of the analytical determination of...
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Coherent System Structures
In this chapter we study the basic properties of the main concept in the Reliability Theory: the coherent system structures. In the first section we...
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Isogeometric Analysis-Based Topological Optimization for Heterogeneous Parametric Porous Structures
Porous structures widely exist in nature and artifacts, which can be exploited to reduce structural weight and material usage or improve damage...
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Lipschitz Carnot-Carathéodory Structures and their Limits
In this paper we discuss the convergence of distances associated to converging structures of Lipschitz vector fields and continuously varying norms...
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Topological Analysis of Syntactic Structures
We use the persistent homology method of topological data analysis and dimensional analysis techniques to study data of syntactic structures of world...
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Periodic and Solitary Waves and Nondissipative Discontinuity Structures in Electromagnetic Hydrodynamics in the Case of Wave Resonance
AbstractA numerical method is described for studying periodic waves, solitary waves, and nondissipative discontinuity structures for the equations...
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A novel triple periodic minimal surface-like plate lattice and its data-driven optimization method for superior mechanical properties
Lattice structures can be designed to achieve unique mechanical properties and have attracted increasing attention for applications in high-end...
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Exploring Interlocking Systems Through the Design of Joint-Based Pop-Up Structures
Digital design techniques and fabrication technologies have become essential in architectural design, influencing the design process significantly....
