Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`Combinatorics`
FromPartitionPlusNotation |
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Examples
(1)
Basic Examples
(1)
Write {2,2,1} in partition plus notation.
In[1]:=
 | PartitionPlusNotation |
Out[1]=
2+2+1
Go back to {2,2,1}:
In[2]:=
| FromPartitionPlusNotation |
Out[2]=
{2,2,1}
List@@ would also work here:
In[3]:=
List@@2+2+1
Out[3]=
2+2+1
There is one time when List@@ will not work. That time is for a single integer.
In[4]:=
List@@5
Out[4]=
5
We wanted to return {5}, the way IntegerPartitions[5] does.
In[5]:=
IntegerPartitions[5]
Out[5]=
{{5},{4,1},{3,2},{3,1,1},{2,2,1},{2,1,1,1},{1,1,1,1,1}}
We can use FromPartitionPlusNotation for this edge case.
In[6]:=
| PartitionPlusNotation |
Out[6]=
{5,4+1,3+2,3+1+1,2+2+1,2+1+1+1,1+1+1+1+1}
In[7]:=
| FromPartitionPlusNotation |
| PartitionPlusNotation |
Out[7]=
{{5},{4,1},{3,2},{3,1,1},{2,2,1},{2,1,1,1},{1,1,1,1,1}}
This is the inverse of PartitionPlusNotation.
In[8]:=
| FromPartitionPlusNotation |
| PartitionPlusNotation |
Out[8]=
True
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