Ferrers diagramn.

Brit.

/ˈfɛrəz ˌdʌɪəɡram/, U.S.

/ˈfɛrərz ˌdaɪəˌɡræm/

Forms:

α. 1900s– Ferrers' diagram, 1900s– Ferrer's diagram (irregular), 1900s– Ferrers's diagram.

β. 1900s– Ferrars diagram (irregular), 1900s– Ferrers diagram.

Origin: From a proper name, combined with an English element. Etymons: proper name Ferrers , diagram n.

Etymology: In α. forms < the genitive of the name of Norman Macleod Ferrers (1829–1903), British mathematician + diagram n. In β. forms < the name of Norman Macleod Ferrers + diagram n.Ferrers never published his work concerning the use of the diagrams which bear his name. J. J. Sylvester attributed them to Ferrars in an 1853 paper ( London, Edinb., & Dublin Philos. Mag. 4th Ser. 5 201), crediting Ferrars with the proof in which they are used. Sylvester's early form of the diagrams used an array of 1s instead of dots; the diagrams were first used in their modern form in another paper by Sylvester ( Amer. Jrnl. of Math. (1882) 5 252).

Mathematics.

A diagram representing a partition (partition n. 9b) as an array of dots, the number of dots making up each row (or column) being equal to the corresponding integer in the partition. Cf. Young diagram n. at Young n.² 2.

ΚΠ

1958 E. T. Browne Introd. Theory Determinants & Matrices xvi. 201 Let us now exhibit these numbers..as rows of dots in an ordinary Ferrers' diagram.

1961 Ann. Math. 73 327 The dual is easily described by means of the so-called ‘Ferrers diagram’.

2013 R. P. Stanley Algebraic Combinatorics vi. 58 The advantage of Young diagrams over Ferrers diagrams is that we can put numbers in the boxes of a Young diagram.

This entry has been updated (OED Third Edition, January 2018; most recently modified version published online March 2022).

单词	ferrers diagram
释义	Ferrers diagramn. Brit. /ˈfɛrəz ˌdʌɪəɡram/, U.S. /ˈfɛrərz ˌdaɪəˌɡræm/ Forms: α. 1900s– Ferrers' diagram, 1900s– Ferrer's diagram (irregular), 1900s– Ferrers's diagram. β. 1900s– Ferrars diagram (irregular), 1900s– Ferrers diagram. Origin: From a proper name, combined with an English element. Etymons: proper name Ferrers , diagram n. Etymology: In α. forms < the genitive of the name of Norman Macleod Ferrers (1829–1903), British mathematician + diagram n. In β. forms < the name of Norman Macleod Ferrers + diagram n.Ferrers never published his work concerning the use of the diagrams which bear his name. J. J. Sylvester attributed them to Ferrars in an 1853 paper ( London, Edinb., & Dublin Philos. Mag. 4th Ser. 5 201), crediting Ferrars with the proof in which they are used. Sylvester's early form of the diagrams used an array of 1s instead of dots; the diagrams were first used in their modern form in another paper by Sylvester ( Amer. Jrnl. of Math. (1882) 5 252). Mathematics. A diagram representing a partition (partition n. 9b) as an array of dots, the number of dots making up each row (or column) being equal to the corresponding integer in the partition. Cf. Young diagram n. at Young n.² 2. ΚΠ 1958 E. T. Browne Introd. Theory Determinants & Matrices xvi. 201 Let us now exhibit these numbers..as rows of dots in an ordinary Ferrers' diagram. 1961 Ann. Math. 73 327 The dual is easily described by means of the so-called ‘Ferrers diagram’. 2013 R. P. Stanley Algebraic Combinatorics vi. 58 The advantage of Young diagrams over Ferrers diagrams is that we can put numbers in the boxes of a Young diagram. This entry has been updated (OED Third Edition, January 2018; most recently modified version published online March 2022). < n.1958
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