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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...

Materias / palabras clave: No

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...

Uniform Manifold Approximation and Projection (UMAP) is a dimension reduction technique that can be used for visualisation similarly to t-SNE, but also for general non-linear dimension reduction. UMAP has a rigorous math...

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 ...

This is the first comprehensive introduction to Support Vector Machines (SVMs), a generation learning system based on recent advances in statistical learning theory. SVMs deliver state-of-the-art performance in real-worl...

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...

(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...

We have developed a near-real-time computer system that can locate and track a subject's head, and then recognize the person by comparing characteristics of the face to those of known individuals. The computational appro...

Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics in matrix theory not included in the previous volume, but with important applications and of special mathe...

Various contracted Gaussian basis sets for atoms up to Kr are presented which have been determined by optimizing atomic self-consistent field ground state energies with respect to all basis set parameters, i.e., orbital ...

An exact derivation of the Scherrer equation is given for particles of spherical shape, values of the constant for half-value breadth and for integral breadth being obtained. Various approximation methods which have been...

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

Materias / palabras clave: geometry and analysis, algebra, applied mathematics, statistics, data science; Science: Mathematics

Materias / palabras clave: operator theory, control theory, algebraic structures, geometry, applied mathematics, computer science; Science: Mathematics

Materias / palabras clave: functional analysis, quantum algebra, nuclear physics, thermodynamic, algorithms, geometry; Science: Physics: Heat: Thermodynamics; Science: Mathematics: Analysis

Materias / palabras clave: mathematics, algebra and geometry, analysis and scientific computing, probability and statistics; Science: Mathematics

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

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

Materias / palabras clave: mathematics, applied mathematics, geometry, algebra; Science: Mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods