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We have come a long way and finally are about to study calculus. Many of you might have taken some courses in the past where you learned a number of formulas to calculate the derivatives and integrals of certain functions. The purpose of this course, however, is not to memorize these formulas mindlessly. Rather, our goals are to understand the mathematical concepts underlying such formulas and ...

The monitoring of herbaceous fuel moisture content is a crucial activity in order to assess savanna fire risks. Faced with the difficulty of managing wide areas of vegetated surfaces, remote sensing appears an attractive alternative for terrestrial measurements because of its advantages related to temporal resolution and spatial coverage. Earth observation (EO)-based vegetation indices (VIs) an...

In 1982, R.Wille proposed a new model to represent the formal concepts associated to a context (G,M, I), named formal concept analysis based on formal context, which is a binary relation between a set of objects and a set of attributes. The main goal is to reveal the hierarchical structure of formal concepts and to investigate the dependencies among attributes. The family of all formal concepts...

A design problem is usually solvable in different ways or by design alternatives. In this work, the term “concept” is used to refer to the design alternatives. Additionally, it is quite common that a design problem has to satisfy conflicting objectives. In these cases, the design problem can be formulated as a multiobjective optimization problem (MOP). One of the aims of this work was to show h...

This paper presents some experiences in the exploitation of a database interface development architecture in which the interface is implemented using the facilities of the database. It is shown how novel interfaces, specifically a multiparadigm query interface and a debugger for an active rule system, can benefit from and exploit the uniform representation of interface and database system conce...

Recent studies have suggested that educators should avoid concrete instantiations when the goal is to promote transfer. However, concrete instantiations may benefit transfer in the long run, particularly if they are “faded” into more abstract instantiations. Undergraduates were randomly assigned to learn a mathematical concept in one of three conditions: generic, in which the concept was instan...

We investigate the relation between two quantitative measures characterizing short term memory in input driven dynamical systems, namely the short term memory capacity (MC) [3] and the Fisher memory curve (FMC) [2]. We show that even though MC and FMC map the memory structure of the system under investigation from two quite different perspectives, for linear input driven dynamical systems they ...

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desira...