Conceptual change and development on multiple time scales: From incremental evolution to origins

Conceptual Development from Origins to Asymptotes

6 403 S cientists studying adult concept learning are typically careful to analyze the entire pattern of responses given across all of the trials of an experiment. Oftentimes the early trials are the most diagnostic because categorization accuracy quickly reaches an asymptote. We take some pride in tackling the hard problem of accounting for adaptive processes that account for category learning...

Evolution on ecological time-scales

1. Ecologically significant evolutionary change, occurring over tens of generations or fewer, is now widely documented in nature. These findings counter the long-standing assumption that ecological and evolutionary processes occur on different time-scales, and thus that the study of ecological processes can safely assume evolutionary stasis. Recognition that substantial evolution occurs on ecol...

A Novel Approach to Trace Time-Domain Trajectories of Power Systems in Multiple Time Scales Based Flatness

This paper works on the concept of flatness and its practical application for the design of an optimal transient controller in a synchronous machine. The feedback linearization scheme of interest requires the generation of a flat output from which the feedback control law can easily be designed. Thus the computation of the flat output for reduced order model of the synchronous machine with simp...

Conceptual Change in Biology Scientific and Philosophical Perspectives on Evolution and Development

Multiple Lebesgue Integration on Time Scales

Differential and integral calculus on time scales allows to develop a theory of dynamic equations in order to unify and extend the usual differential equations and difference equations. For single variable differential and integral calculus on time scales, we refer the reader to the textbooks [4, 5] and the references given therein. Multivariable calculus on time scales was developed by the aut...