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In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System
These days, watching the shallow water waves, people think about the nonlinear Broer-type models, e.g., a (2+1)-dimensional generalized Broer-Kaup...
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Visualizing Anne Tyng’s Transformations of the Octetruss
Transformations of the octetruss in Anne Tyng’s residential space structures are analyzed and visualized in three-dimensional diagrams. The...
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Symbolically Computing the Shallow Water via a (2+1)-Dimensional Generalized Modified Dispersive Water-Wave System: Similarity Reductions, Scaling and Hetero-Bäcklund Transformations
For the water waves, people consider some dispersive systems. Describing the nonlinear and dispersive long gravity waves travelling along two...
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Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation
The primitive equations of large-scale oceanic dynamics form a fundamental model in geophysical flows. It is well-known that the primitive equations...
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Certain invertible operator-block matrices induced by \(C^{*}\)-algebras and scaled hypercomplex numbers
The main purposes of this paper are (i) to enlarge scaled hypercomplex structures to operator-valued cases, where the operators are taken from a
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Power transformations of relative count data as a shrinkage problem
Here we show an application of our recently proposed information-geometric approach to compositional data analysis (CoDA). This application regards...
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Scaled relative graphs: nonexpansive operators via 2D Euclidean geometry
Many iterative methods in applied mathematics can be thought of as fixed-point iterations, and such algorithms are usually analyzed analytically,...
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Revelations of Folies through Geometric Transformations
This article presents an activity carried out in a course on representation in a master’s degree in architecture, which aims to train students in the...
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Bilinear Form, Bilinear Bäcklund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients
Shallow water waves are seen in geophysical fluid dynamics, oceanography, coastal engineering and atmospheric science. In this paper, to describe the...
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Bilinear Auto-Bäcklund Transformations and Similarity Reductions for a (3+1)-dimensional Generalized Yu-Toda-Sasa-Fukuyama System in Fluid Mechanics and Lattice Dynamics
Recent investigations on the liquids and lattices are both active. In this paper, with symbolic computation, we consider a (3+1)-dimensional...
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Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions....
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Coordinate Transformations, Tensors and General Relativity
In this chapter, we provide some basic information on coordinate transformations, tensors, partial covariant differentiation, Christoffel symbols and...
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The Grammar of Anne Tyng’s Simpler Space Structures
Anne Tyng’s notion of metamorphology is introduced in relation to three of the architect’s residential space structures. The interpretation of this...
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Interior-point algorithm for symmetric cone horizontal linear complementarity problems based on a new class of algebraically equivalent transformations
We generalize a primal-dual interior-point algorithm (IPA) proposed recently in (Illés T, Rigó PR, Török R Unified approach of primal-dual...
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Extended barycentric rational schemes for functions of singularities
In this paper, we propose two kinds of extended barycentric rational schemes via (non-conformally) scaled transformations for approximating functions...
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Designing Binary Trees
Binary trees are usually defined so that left and right branches are determined by scaled rotations. However, when arbitrary affine transformations...
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Quasi-Newton Single-Phase Stability Testing without Explicit Hessian Calculation
AbstractA robust algorithm (solver) for testing the single-phase stability of a multicomponent fluid under isochoric-isobaric conditions is...
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Jensen-variance distance measure: a unified framework for statistical and information measures
The Jensen-variance (JV) distance measure is introduced and some properties are developed. The JV distance measure can be expressed using two...
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Magnetooptic Studies on a Ferromagnetic Material via an Extended (3+1)-Dimensional Variable-Coefficient Modified Kadomtsev-Petviashvili System
In this paper, we symbolically compute an extended (3+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system for the...
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Application of the Explicitly Iterative Scheme to Simulating Subsonic Reacting Gas Flows
AbstractThis paper is devoted to the study of the possibility of applying an explicitly iterative (local iterative modified—LI-M) scheme for...
