Encyclopedia
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Isomorphism: Encyclopedia Ii - Isomorphism - Definition
Douglas Hofstadter provides an informal definition:
The word "isomorphism" applies when two complex structures can be mapped onto each o...
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Encyclopedia
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Isomorphism: Encyclopedia Ii - Isomorphism - Applications
Group isomorphism is where the objects in question are groups. Similarly, if the objects are fields, it is called a field isomorphism.
In...
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Encyclopedia
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Isomorphism: Encyclopedia Ii - Isomorphism - Practical Example
The following is an example of an isomorphism from ordinary algebra.
Consider the logarithm function: For any fixed base b, the logarithm...
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Encyclopedia
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Isomorphism: Encyclopedia Ii - Isomorphism - Two Abstract Examples
Isomorphism - A relation-preserving isomorphism.
For example, if one object consists of a set X with an ordering ≤ and the other obje...
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