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V.—The Theory of Axisymmetric Determinants from 1857 to 1880
Published online by Cambridge University Press: 15 September 2014
Extract
My last communication in reference to the history of axisymmetric determinants dealt with the period 1841–1859 (Proc. Roy. Soc. Edin., xxvii. pp. 135–166). The present paper continues the history up to the year 1880, but in addition contains an account of one contribution belonging to the previous period, namely, by d'Arrest (1857).
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- Copyright © Royal Society of Edinburgh 1914
References
page 51 note * Boole, G., “On the Application of the Theory of Probabilities to the Question of the Combination of Testimonies or Judgments,” Trans. Roy. Soc. Edin., xxi. pp. 597–652 (see p. 648).Google Scholar
page 54 note * Brioschi, F., “Sur les séries qui donnent le nombre de racines réelles des équations algébriques à une on à plusieurs inconnues,” Nouv. Annales de Math., xv. pp. 264–286Google Scholar; or Zeitschrift f. Math. u. Phys., ii. pp. 209–222; or Opere Mat., v. pp. 127–143.
page 54 note † Lagrange, J. L., “Recherche sur la méthode de maximis et minimis,” Miscell…Taurinensis, i. p. 18Google Scholar; or Œuvres, i. pp. 3–20. See also Gauss (1823), Werke, iv. pp. 27–53, and Jacobi (1847), Crelle's Journ., liii. pp. 265–270.
page 56 note * See immediately preceding footnote.
page 56 note † This restriction may be done away with if we alter the squared expressions on the right hand into
page 61 note * Other papers on the same subject are—
Geer, P. van, “Over het gebruik van determinanten bij de methode der kleinste kwadraten,” Nieuw Archief voor Wiskunde, i, (1875), pp. 179–188.Google Scholar
Catalan, E., “Remarques sur la théorie des moindres carrés,” Mém. de l'Acad. … de Belgique, xliii. (1878), pp. 24–33.Google Scholar