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Leaf Surface Reconstruction Using a Hybrid Interpolation Finite Element Method
The goals of the research presented in this paper are first, construction a leaf surface from large real 3D scanned data points using a new hybrid...
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Modelling leaf surface reconstruction using Bernstein polynomials method
In this research paper, we adapt for the first time Bernstein polynomials for reconstructing a continuous differentiable surfaces of a real leaf from...
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Virtual Screening of Anticancer Drugs Using Deep Learning
In drug discovery, an efficient modelling of the synergies between the existing drugs/compounds and their targets is crucial. The application of...
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GPU-native Dynamic Octree-based Grid Adaptation to Moving Bodies
AbstractThe present paper is devoted to the development of algorithms for dynamic grid adaptation to the geometry of an immersed moving rigid body...
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A Panoramic Tour
This chapter highlights four different applications of and structural results about...
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Arborescent architecture for decentralized diagnosis of discrete event systems
We study decentralized diagnosis whose objective is fault detection in discrete event systems using decentralized architectures. We first identify a...
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Tropical Geometric Variation of Tree Shapes
We study the behavior of phylogenetic tree shapes in the tropical geometric interpretation of tree space. Tree shapes are formally referred to as...
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Decompositions of Infinite-Dimensional \(A_{\infty , \infty }\) Quiver Representations
Gabriel’s Theorem states that the quivers which have finitely many isomorphism classes of indecomposable representations are exactly those with...
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A Tropical View on Landau–Ginzburg Models
This paper, largely written in 2009/2010, fits Landau–Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark...
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A taxonomy of constraints in black-box simulation-based optimization
The types of constraints encountered in black-box simulation-based optimization problems differ significantly from those addressed in nonlinear...
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Holomorphic Foliations: Singularities and Local Geometric Aspects
This text has been written with the aim of providing a fast introduction to the framework of holomorphic foliations with singularities. Our...
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Balanced tree partition problems with virtual nodes
We study two variants of the Balanced Tree Partition (BTP for short) problem, whose goal is to find the minimum number of edges such that a partition...
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Hopf algebra structure on free Rota–Baxter algebras by angularly decorated rooted trees
By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free...
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Sparse Cholesky Solver: The Symbolic Phase
This chapter focuses on the symbolic phase of a sparse Cholesky solver. The sparsity pattern...
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Modeling in Biology
This chapter presents the most fundamental concepts of mathematical modeling. There is an initial section that introduces parameters, followed by a...
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Heuristics Selection with ML in CP Optimizer
IBM® ILOG® CP Optimizer (CPO) is a constraints solver that integrates multiple heuristics with the goal of handling a large diversity of...
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Learn, Compare, Search: One Sawmill’s Search for the Best Cutting Patterns Across and/or Trees
A sawmilling process scans a wood log and must establish a series of cutting and rotating operations to perform in order to obtain the set of lumbers...
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Mathematical Elements of Elementary Education
AbstractIn recent decades, several Russian schools have been implementing a world-unique education program of mathematics for elementary schools. In...
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Transposition of Biomimetical Principles into Generative Design: Example of the Species Campanula patula L
This paper deals with the flower geometry analysis of the species Campanula patula L. (Campanulaceae) and attempts to use a freeform curve to...