The theory of determinants in the historical order of development, by Sir Thomas Muir.

420 HISTORY OF THE THEORY OF DETERMINANTS LUCAS, E. (1877). [Theorie des fonctions numeriques simplement periodiques. Sect. IV. Nouv. Corresp. Math., iii. pp. 401-402; or American Journ. of Math., i. pp. 192-193.] Here there is nothing fresh save the writing of p -q..... q..... -1 p -q.. in the form q..../ -1 p..... q p.... which latter, we may note, is axisymmetric with respect to the one diagonal, and persymmetric with respect to the other. MUIR, T. (1878). [On the word 'Continuant.' American Journ. of Math., i. pp. 344.] Sylvester having, without knowledge of the circumstances, complained of the introduction of the word 'continuant,' the introducer had to explain that the word had been proposed in ignorance of Sylvester's papers of 1853, and that, as soon as this ignorance was removed, he had drawn pointed attention to those papers,* persistently adhering, however, to the use of the new word for four reasons, which are shortly stated. In a note, Sylvester agrees that the second and third of the reasons afford 'quite a sufficient justification for the use of the word in question.' SCOTT, R. F. (1878). [On some symmetrical forms of determinants. Messenger of Math., viii. pp. 131-138.] The first of the forms referred to is c a..... b c a.....b c.... * See above, p. 416.

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Title
The theory of determinants in the historical order of development, by Sir Thomas Muir.
Author
Muir, Thomas, Sir, 1844-1934.
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Page 420
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London,: Macmillan and Co., Limited,
1906-
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Determinants

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"The theory of determinants in the historical order of development, by Sir Thomas Muir." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acm9350.0003.001. University of Michigan Library Digital Collections. Accessed June 20, 2025.
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