Finite group graph generator
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| − | Finite group graph generator creates a cyclic group with prime order given by the Wandora user. | + | Finite group graph generator creates a cyclic group with a prime order given by the Wandora user. Below is a graph visualization of finite group with a prime order 20 and it's '''Topic 0''' element. Visualization contains only association of '''Topic 0''' node. All associations are triplets of two operands and a result. |
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| + | [[Image:finite_group_example.gif|center]] | ||
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| + | Looking at '''Topic 0''''s association reveals the nature of associations. Each association represents an operation with two operand topics and a result topic and result is a "sum" of operands. For example, operands '''Topic 2''' and '''Topic 4''' form an association with a result '''Topic 6''' because '''(2 + 4) mod 20''' is equal to '''6'''. Operands '''Topic 1''' and '''Topic 19''' form an association with a result '''Topic 0''' because '''(19 + 1) mod 20''' is equal to '''0'''. | ||
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| + | [[Image:finite_group_example2.gif|center]] | ||
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== See also == | == See also == | ||
| − | * [http://en.wikipedia.org/wiki/Finite_group Finite group in | + | * [http://en.wikipedia.org/wiki/Finite_group Finite group in Wikipedia] |
* [http://en.wikipedia.org/wiki/Cyclic_group Cyclic group in Wikipedia] | * [http://en.wikipedia.org/wiki/Cyclic_group Cyclic group in Wikipedia] | ||
Latest revision as of 14:37, 22 February 2013
Finite group graph generator creates a cyclic group with a prime order given by the Wandora user. Below is a graph visualization of finite group with a prime order 20 and it's Topic 0 element. Visualization contains only association of Topic 0 node. All associations are triplets of two operands and a result.
Looking at Topic 0's association reveals the nature of associations. Each association represents an operation with two operand topics and a result topic and result is a "sum" of operands. For example, operands Topic 2 and Topic 4 form an association with a result Topic 6 because (2 + 4) mod 20 is equal to 6. Operands Topic 1 and Topic 19 form an association with a result Topic 0 because (19 + 1) mod 20 is equal to 0.
