Binary representations of finite fields are defined as an injective mapping from a finite field to l-tuples with components in ͕0, 1͖ where 0 and 1 are elements of the field itself. This permits one to study the algebraic complexity of a particular binary representation, i.e., the minimum number of
Measurable Notions of Complexity and Their Relationship to Biological Complexity
✍ Scribed by J. Paul Brooks
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 253 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1612-1872
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Complexity is often invoked as a motivation for a systems approach to biology. We review three measurable notions of complexity from the areas of computation and data analysis. These measures have each led to mathematical theory and to further insight on the complexity of objects, demonstrating the benefits of having a well‐defined measure of complexity. Each measure is applicable in the study of particular biological systems; however, none is satisfactory to serve as a universal measure of biological complexity. The study of biological systems will likely require numerous measures of complexity, each appropriate for analysis in specific settings.
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