Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`TensorNetworks`Symmetry`
TableauSize  |
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Details and Options
Examples
(9)
Scope
(3)
Sum over explicit rows
(1)
TableauSize is the sum of the row lengths:
In[1]:=
TableauSize[YoungTableau[{{1,2,3},{4,5}}]]
Out[2]=
5
This matches Total applied to the shape (partition) of the tableau:
In[1]:=
Total[TableauShape[YoungTableau[{{1,2,3},{4,5}}]]]
Out[2]=
5
From a partition constructor
(1)
Non-tableau input
(1)
Applications
(3)
Properties & Relations
(3)
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Count the boxes of a tableau given by explicit rows:
In[1]:=
TableauSize[YoungTableau[{{1,2,3},{4,5}}]]
Out[1]=
5
For a tableau constructed from a partition, the size is the total number of cells of the diagram:
In[2]:=
TableauSize[YoungTableau[{4,3}]]
Out[2]=
7
The same number is the total of the shape:
In[3]:=
Total[TableauShape[YoungTableau[{{1,2,3},{4,5}}]]]
Out[3]=
5
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