Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
PartitionQ  |
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Examples
(5)
Scope
(3)
Valid partitions
(1)
A single-element list with a positive entry is the smallest valid partition:
In[1]:=
 | PartitionQ |
Out[1]=
True
Repeated entries are allowed; the order is weakly decreasing:
In[1]:=
| PartitionQ |
Out[1]=
True
A row of ones is a partition (the trivial column-shape diagram):
In[1]:=
| PartitionQ |
Out[1]=
True
Rejection cases
(1)
From IntegerPartitions
(1)
Applications
(1)
Properties & Relations
(1)
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A weakly decreasing list of positive integers is a partition:
In[1]:=
| PartitionQ |
Out[1]=
True
The empty list is rejected because the kernel requires at least one entry:
In[2]:=
| PartitionQ |
Out[2]=
False
An increasing-order list violates the partition convention:
In[3]:=
| PartitionQ |
Out[3]=
False
""