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What is Nonlinearity

Handbook of Research on Maximizing Cognitive Learning through Knowledge Visualization
A feature of a system or a structure where output is not directly proportional to input – just like in perception of human visual systems. In general it is practical consequence of Aristotle statement: “The whole is greater than the sum of its parts.”
Published in Chapter:
Visualization in Learning: Perception, Aesthetics, and Pragmatism
Veslava Osinska (Nicolaus Copernicus University, Poland), Grzegorz Osinski (College of Social and Media Culture, Poland), and Anna Beata Kwiatkowska (Nicolaus Copernicus University, Poland)
DOI: 10.4018/978-1-4666-8142-2.ch013
Abstract
Visualization is currently used as a data analysis tool and considered a way of communicating knowledge and ideas in many areas of life such as science, education, medicine, marketing, and advertisement. The chapter contains complex interdisciplinary material and attempts to construct a general framework of visualization roles in learning. The structure of this content is presented on Figure 1 as a kind of mind map. Authors emphasize that visualization mechanisms are designed taking into account analytical and content-related potential, timeliness, online availability, and aesthetics. But classical (tabular) forms still remain dominant in information presentation. A good portion of the discussion is dedicated to the alternative solution – non-linear layout, such as network or fractals. Several visualization maps with specifically designed architecture are demonstrated as important elements of contemporary education. Authors consider the potential and implementation of these tools in e-learning platforms. Parallely, they underline the role of interdisciplinary collaboration in map making processes. Researchers in different fields can apply contemporary trends in visualization including natural shape perception, 3D representation problems, as well as the aspects of neuroaesthetics.
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Agent-Based Modeling: A Historical Perspective and a Review of Validation and Verification Efforts
In terms of system output refers to the state wherein the system output as a collective is greater than the sum of the individual system component outputs.
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System Dynamics Based Technology for Decision Support
A nonlinearity exists between a cause (decision) and effect (consequence), if effect is not proportional to cause.
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