Lightly Documented Features: Difference between revisions

Latest revision as of 18:24, 21 February 2013

(For In[1] see Setup)

In[2]:=	?NumberOfKnots
NumberOfKnots[n] returns the number of knots with n crossings. NumberOfKnots[n, Alternating\|NonAlternating] returns the number of knots of the specified type.

`In[3]:=`	`NumberOfKnots[16, NonAlternating]`
`Out[3]=`	`1008906`

In[4]:=	?AlternatingQ
AlternatingQ[D] returns True iff the knot/link diagram D is alternating.

Among the knots with up to 11 crossings, 564 are alternating and 238 are not:

`In[5]:=`	`Total[AlternatingQ /@ AllKnots[{0,11}]]`
`Out[5]=`	`238 False + 564 True`

@@ Line 4: / Line 4: @@
 <!--$$?NumberOfKnots$$-->
+<!--Robot Land, no human edits to "END"-->
+{{HelpLine|
+n  = 2 |
+in = <nowiki>NumberOfKnots</nowiki> |
+out= <nowiki>NumberOfKnots[n] returns the number of knots with n crossings.
+NumberOfKnots[n, Alternating&#124;NonAlternating] returns the number of knots of the specified type.</nowiki>}}
 <!--END-->
 <!--$$NumberOfKnots[16, NonAlternating]$$-->
+<!--Robot Land, no human edits to "END"-->
+{{InOut|
+n  = 3 |
+in = <nowiki>NumberOfKnots[16, NonAlternating]</nowiki> |
+out= <nowiki>1008906</nowiki>}}
 <!--END-->
-<!--$$?MorseLink$$-->
+<!--$$?AlternatingQ$$-->
+<!--Robot Land, no human edits to "END"-->
+{{HelpLine|
+n  = 4 |
+in = <nowiki>AlternatingQ</nowiki> |
+out= <nowiki>AlternatingQ[D] returns True iff the knot/link diagram D is alternating.</nowiki>}}
 <!--END-->
+Among the knots with up to 11 crossings, 564 are alternating and 238 are not:
-<!--$$MorseLink[Knot[3, 1]]$$-->
-<!--END-->
-<!--$$?DrawMorseLink$$-->
-<!--END-->
-<!--$$?Show[DrawMorseLink[Link[11, Alternating, 548]]]$$-->
+<!--$$Total[AlternatingQ /@ AllKnots[{0,11}]]$$-->
+<!--Robot Land, no human edits to "END"-->
+{{InOut|
+n  = 5 |
+in = <nowiki>Total[AlternatingQ /@ AllKnots[{0,11}]]</nowiki> |
+out= <nowiki>238 False + 564 True</nowiki>}}
 <!--END-->