- Advanced Numerical Analysis Techniques
- Polynomial and algebraic computation
- Computational Geometry and Mesh Generation
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Manufacturing Process and Optimization
- Advanced Mathematical Theories and Applications
- Coding theory and cryptography
- Advanced Mathematical Theories
- Graph Labeling and Dimension Problems
- Advanced Combinatorial Mathematics
- Probability and Statistical Research
- Educational Methods and Outcomes
- Education and Critical Thinking Development
- Educational Challenges and Innovations
- Graph theory and applications
- Advanced Mathematical Identities
- Computer Graphics and Visualization Techniques
- Advanced Optimization Algorithms Research
- Numerical Methods and Algorithms
Hanoi National University of Education
2012-2023
National and Kapodistrian University of Athens
2012-2013
Institut national de recherche en informatique et en automatique
2009-2011
Research Centre Inria Sophia Antipolis - Méditerranée
2011
Laboratoire Jean-Alexandre Dieudonné
2010
Université Côte d'Azur
2009
We report on an integral representation for the Pell sequence, Pell-Lucas Balancing sequence and Lucas-Balancing sequence. This is based generating function Binet-like formulas of aforementioned sequences. Many other representations these numbers can be found by applying known relations between them.
In this paper, we introduce matrix representations of algebraic curves and surfaces for Computer Aided Geometric Design (CAGD). The idea using in CAGD is quite old. novelty our contribution to enable non square matrices, extension which motivated by recent research topic. We show how manipulate these proposing a dedicated algorithm address the curve/surface intersection problem means numerical linear algebra techniques.
Abstract Let I be a zero-dimensional ideal in the polynomial ring $K[x_1,\ldots ,x_n]$ over field K . We give bound for number of roots $K^n$ counted with combinatorial multiplicity. As consequence, we proof Alon’s Nullstellensatz.
No abstract available.