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Object-oriented concepts facilitate both the understanding of requirements for an application and the subsequent design of supporting software. With an object-oriented approach, the software engineer devises a model of the real world, and then seamlessly carries the real-world model forward into design and implementation. Objectoriented models provide a useful abstraction for designing both pro...

Observations of apparently random phenomena are commonplace in science. However, randomness and Christian belief are often seen as incompatible, both by naturalists and by theists. This article argues that the scientific concept of randomness and the historic Christian understanding of God’s nature are compatible. It argues that the existence of randomness cannot be settled scientifically; neve...

This document presents the results of the seminar “Conceptual Architecture Patterns” of the winter term 2002 in the Hasso–Plattner–Institute. It is a compilation of the student’s elaborations dealing with some conceptual architecture patterns which can be found in literature. One important focus laid on the runtime structures and the presentation of the patterns.

We argue that visual, analogical representations of mathematical concepts can be used by automated theory formation systems to develop further concepts and conjectures in mathematics. We consider the role of visual reasoning in human development of mathematics, and consider some aspects of the relationship between mathematics and the visual, including artists using mathematics as inspiration fo...

The gestures children spontaneously produce when explaining a task predict whether they will subsequently learn that task. Why? Gesture might simply reflect a child's readiness to learn a particular task. Alternatively, gesture might itself play a role in learning the task. To investigate these alternatives, we experimentally manipulated children's gesture during instruction in a new mathematic...

In the search for principles of pattern generation in complex biological systems, an operational approach is presented that embraces both theory and experiment. The central mathematical concepts of self-organization in nonequilibrium systems (including order parameter dynamics, stability, fluctuations, and time scales) are used to show how a large number of empirically observed features of temp...