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Este texto tem por objetivo analisar historicamente debate entre dois professores brasileiros de matemática no início dos anos de 1930. Nessa época, foi criada a primeira lei nacional de ensino - Reforma Francisco Cam...

Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspe...

Background: Students’ prior mathematical knowledge plays a critical role in their success in university mathematics, yet it is often treated diagnostically rather than instructionally. Aim: This study examines studen...

Algebra is an abstract topic in mathematics that should initially be learned by students in junior high school level. In order that this topic is easier to understand by students meaningfully, relevant mathematical repre...

Abstract We argue that the polynomial degeneracies of curvature invariants can act as geometric selection rules for spacetime singularities in modified theories of gravity. The degeneracies arise purely from the algebrai...

We introduce and discuss a new computational model for the HermiteLagrange interpolation with nonlinear classes of polynomial interpolants. We distinguish between an interpolation problem and an algorithm that solves it....

Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact...

A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the aut...

The coupled-cluster singles and doubles model (CCSD) is derived algebraically, presenting the full set of equations for a general reference function explicitly in spin–orbital form. The computational implementation of ...

(NOTE: Each chapter begins with an Introduction, and concludes with Exercises and References.) I. GETTING STARTED. 1. Aspects of Multivariate Analysis. Applications of Multivariate Techniques. The Organization of Data. D...

Este trabajo tiene por objetivo desarrollar modelos de redes neuronales artificiales (RNA) para analizar la incidencia de los conocimientos matemáticos previos de los alumnos ingresantes a la carrera de Bioquímica de l...

Subjects / keywords: algebra and geometry, classical mechanics and electrodynamics, analytics and detection, behavior biology, atmospheric sciences, advanced composites; Science: Mathematics

Subjects / keywords: mathematics, algebra and geometry, analysis and scientific computing, probability and statistics; Science: Mathematics

       In this paper we applied new geometric methods for prove existence three dimensional linear [97,3 ,87]11 and [143,3,131]13 codes  theorems [(1.4.4), (1.5.5)].

Subjects / keywords: Sancho Guimerá, Juan Bautista; Congresses; Geometry, Algebraic; Mathematics; Spain; Conference papers and proceedings; Electronic books

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of...

A new paradigm, Random Sample Consensus (RANSAC), for fitting a model to experimental data is introduced. RANSAC is capable of interpreting/smoothing data containing a significant percentage of gross errors, and is thus ...

The authors describe a general-purpose, representation-independent method for the accurate and computationally efficient registration of 3-D shapes including free-form curves and surfaces. The method handles the full six...

Subjects / keywords: mathematical physics, differential geometry, integrable systems, lie groups and algebras, representation theory, special functions; Science: Mathematics

Subjects / keywords: geometry and analysis, algebra, applied mathematics, statistics, data science; Science: Mathematics

Subjects / keywords: mathematics, algebra, geometry, mechanics, applied mechanics, computer science and information systems; Technology: Mechanical engineering and machinery; Science: Mathematics: Instruments and machines: Electronic compute...

We study a topological phase transition in spacetime through which the early universe evolved, growing exponentially due to quantum fluctuations of gravity, described as a geometric quantum field with a noncommutative, n...

Subjects / keywords: Algebras, Linear; Geometry; Geometry, Algebraic; Electronic books

Subjects / keywords: No