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单词 Young Diagram
释义

Young Diagram

A Young diagram, also called a Ferrers Diagram, represents Partitions as patterns of dots, withthe th row having the same number of dots as the th term in the Partition. A Young diagram of the Partition


for a list , , ..., of Positive Integers with is thereforethe arrangement of dots or square boxes in rows, such that the dots or boxes are left-justified, the first row is oflength , the second row is of length , and so on, with the th row of length . The above diagram corresponds toone of the possible partitions of 100.

See also Durfee Square, Hook Length Formula, Partition, Partition Function P, Young Tableau


References

Messiah, A. Appendix D in Quantum Mechanics, 2 vols. Amsterdam, Netherlands: North-Holland, p. 1113, 1961-62.


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