A new method, MUNIN (Multi-dimensional NMR spectra interpretation), is introduced for the automated interpretation of three-dimensional NMR spectra. It is based on a mathematical concept referred to as three-way decomposition. An NMR spectrum is decomposed into a sum of components, with each component corresponding to one or a group of peaks. Each component is defined as the direct product of t...

In his book, Analytical Archaeology, Clarke (1968:512-513) noted three ways in which mathematical concepts are relevant to what he calls archaeological ideology: "(i) The need for entitation and quantification ... using ... descriptive statistics"; "(ii) The need to handle relationship concepts ... using analytical inductive statistics"; "(iii) The need to handle the regularities in complex dat...

Computational models have become an integral part of basic neuroscience and have facilitated some of the major advances in the field. More recently, such models have also been applied to the understanding of disruptions in brain function. In this review, using examples and a simple analogy, we discuss the potential for computational models to inform our understanding of brain function and dysfu...

Large amounts of various biological networks exist for representing different types of interaction data, such as genetic, metabolic, gene regulatory, and protein-protein relationships. Recent approaches on biological network study are based on different mathematical concepts. It is necessary to construct a uniform framework to judge the functionality of biological networks. We recently introduc...

Multiresolution is a general mathematical concept that allows us to study a property by means of several changes of resolution. From a fixed resolution, a coarser projection can be calculated and then the changes between a finer resolution and a coarser one can be studied. That information can give a good knowledge about the problem under consideration. Also using multiresolution techniques it ...

The purpose of this article is to describe the integration of epistemological principles, theories about levels of argumentation, and different worlds of abstraction to address secondary school students’ development of mathematical concepts. A pilot study concerning ‘volume and enlargements’ focuses on step-by-step solutions of classified problems to establish the progress of the process of abs...

Professional teachers can guarantee the progress and the promotion of society because fostering the development of next generation is up to them and depends on their professional knowledge which has two kinds of sources; content knowledge and teaching skill. The aim of the present research was studying the effect of integrating problem-based learning with Information and Communications Technolo...