Structure and Operations: Difference between revisions
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Thus here's one tautology and one easy example: |
Thus here's one tautology and one easy example: |
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And another easy example: |
And another easy example: |
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<!--$$K=Knot[6, 2]; {PositiveCrossings[K], NegativeCrossings[K]}$$--> |
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Revision as of 21:47, 24 August 2005
(For In[1] see Setup)
Thus here's one tautology and one easy example:
And another easy example:
For example,
The connected sum of the knot 4_1 with itself has 8 crossings (unsurprisingly):
It is also nice to know that, as expected, the Jones polynomial of is the square of the Jones polynomial of 4_1:
It is less nice to know that the Jones polynomial cannot tell apart from the knot 8_9:
But isn't equivalent to 8_9; indeed, their Alexander polynomials are different:
