Saint-Étienne, France

Mathematical Imaging and Spatial Pattern Analysis

Master's
Table of contents

Mathematical Imaging and Spatial Pattern Analysis at EMSE

Language: EnglishStudies in English
Subject area: mathematics and statistics
Qualification: M12
University website: www.mines-stetienne.fr/

Definitions and quotes

Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
Imaging
Imaging is the representation or reproduction of an object's form; especially a visual representation (i.e., the formation of an image).
Pattern
A pattern is a discernible regularity in the world or in a manmade design. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.
Pattern
Science traditionally takes the reductionist approach, saying that the collective properties of molecules, or the fundamental units of whatever system you're talking about, are enough to account for all of the system's activity. But this standard approach leaves out one very important additional factor, and that's the spacing and timing of activity — its pattern or form. The components of any system are linked up in different ways, and these possible relationships, especially at the higher levels, are not completely covered by the physical laws for the elementary interactions between atoms and molecules. At some point, the higher properties of the whole begin to take over and govern the fate of its constituents.
Roger Wolcott Sperry, in "New Mindset on Consciousness" in Sunrise magazine (December 1987/January 1988)
Pattern
The meaning of life is that it is to be lived, and it is not to be traded and conceptualized and squeezed into a pattern of systems.
Bruce Lee, as quoted in Striking Thoughts : Bruce Lee's Wisdom for Daily Living (2000) edited by John Little, Part I : On First Principles, p. 3
Pattern
Humans are pattern-seeking story-telling animals, and we are quite adept at telling stories about patterns, whether they exist or not.
Michael Shermer, in "Out of This World" in The Washington Post (21 November 1999)
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