MATHEMATICAL INNOVATION

An Interactive Multi-touch Teaching Innovation for Preschool Mathematical Skills

The paper proposes a teaching medium that is suitable for preschool children and teacher to develop basic mathematical skills. The research applies the bases of Multi-touch and Multi-point media technologies to innovate an interactive teaching technique. By utilizing Multi-touch and the connectivity structure of Multi-point to create a technology that facilitates simultaneous interaction from c...

Mathematical models for the diffusion of innovation in social networks

Quantifying Genetic Innovation: Mathematical Foundations for the Topological Study of Reticulate Evolution

A topological approach to the study of genetic recombination, based on persistent homology, was introduced by Chan, Carlsson, and Rabadán in 2013. This associates a sequence of signatures called barcodes to genomic data sampled from an evolutionary history. In this paper, we develop theoretical foundations for this approach. First, we clarify the motivation for the topological approach by prese...

Innovation . What innovation ?

This article compares and contrasts three types of innovation, namely: product innovation, process innovation and organisational innovation. From similarities and differences between these three types, implications for the theory and practice of innovation management are inferred. Most of these implications seem to be generic, i.e. generally applicable whatever the type of innovation and organi...

TOWARD EVOLUTIONARY INNOVATION THEORY

Innovations, commercialized by new or old established firms, located at the core of industrial renewal process. The innovation concept has suffered transformations, along with the evolution of the models that try to explain and understand the innovation process. The innovative process corresponds to all activities that generate technological changes and the dynamic interaction between them, not...