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MATHEMATICAL MODEL DESCRIBING THE TRANSFORMATION OF THE PROTO-KARTVELIAN POPULATION
This work discusses the second period of transformation of the Proto-Kartvelian population, when the population divided into three parts: Proto-Svan;...
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Transformation Model of the Dynamic Deformation of an Elongated Cantilever Plate Mounted on an Elastic Support Element
AbstractA transformation model of the dynamic deformation of an elongated orthotropic composite rod-type plate, consisting of two sections (fastened...
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Solving and Analysing Tumor–Immune Interaction Model by Generalized Differential Transformation Method
In this paper, a five-dimensional treatment model of a tumor–immune interaction system is considered. The main purpose of the study is to obtain the...
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Properties of the random effect transformation
We analyze the influence of the random effect transformation on four regularity classes of distribution functions. We consider regularly varying,...
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On a Problem of Invariant Equilibrium of a Phase Ice-Hydrate Transformation
AbstractThis study presents a thermodynamically equilibrium filtration model for the gas-hydrate phase-equilibrium (invariant) and hydrate-thaw zones...
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A Linear System Output Transformation for Sparse Approximation*
We propose an approach that provides a stable transformation of the output of a linear system into the output of a system with the desired basis. The...
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Research on the Asymmetric Effect of Fixed-Asset Investment on China’s Primary Energy Production in the Context of Energy Transformation
Under China’s “Dual Carbon” target (DCT), “clean replacement” on the energy supply side and “electric energy replacement” on the energy consumption...
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Application of elastic transformation method and similarity construction method in solving ordinary differential equations
In response to solving difficult problems of nonlinear ordinary differential equations with variable coefficients, this paper introduces the Elastic...
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Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation
A class of Sturm-Liouville problems with discontinuity is studied in this paper. The oscillation properties of eigenfunctions for Sturm-Liouville...
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Bäcklund Transformation for the Nonlinear Schrödinger Equation
In this note we present a new derivation of Bäcklund transformations for the nonlinear Schroedinger equation. We discuss the conserved quantities...
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Transformation of Geometry from 2D to 3D: Revisiting Origami in a Digital Design Course
In this study, the importance of origami in transforming 2D patterns into 3D objects is highlighted. Within a design workshop, projects of...
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Robust Estimation of Semiparametric Transformation Model for Panel Count Data
Panel count data are frequently encountered when study subjects are under discrete observations. However, limited literature has been found on...
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Bäcklund Transformation, Complexiton, and Solitons of a (4 + 1)-dimensional Nonlinear Evolutionary Equation
The main purpose of the current paper is to establish a (4 + 1)-dimensional nonlinear evolutionary (4D-NLE) equation and derive its Bäcklund...
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Auto-Bäcklund Transformation with the Solitons and Similarity Reductions for a Generalized Nonlinear Shallow Water Wave Equation
Studies on the shallow water waves belong to the cutting-edge issues in sciences and engineering. In this paper, introducing symbolic computation,...
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Darboux Transformation and Soliton Solutions for a Nonlocal Two-Component Complex Modified Korteweg–de Vries Equation
In this paper, a nonlocal two-component complex modified Korteweg–de Vries (mKdV) equation is investigated and its Darboux transformation is derived....
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Model Verification & Validation
With the development of computer technology, various simulation models have been applied to take the place of physical experiments to save the time...
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Mellin–Barnes Transformation for Two-Loop Master-Diagram
In the paper we obtain an expression for a two-loop master-diagram by using the Mellin–Barnes transformation. In the two-dimensional case we managed...
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A novel design scheme for acoustic cloaking of complex shape based on region partitioning and multi-origin coordinate transformation
Acoustic cloaking is an important application of acoustic metamaterials. This article proposes a novel design scheme for acoustic cloaking based on...
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Auto-Bäcklund Transformation and Exact Solutions for a New Integrable (3+1)-dimensional KdV-CBS Equation
The Korteweg-de Vries–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation is often used in dealing with long-wave propagation interactions, and is...
