2020 Discriminants and Resultants 



Discriminant of quadratic forms, property. 

 Picquet, H. As. Fr. C. E. (1875) 225-. 



quartic equation. Weill, M. N. A. 

 Mth. 2 (1883) 265-. 



quaternary quadratic form, properties. 

 Walker, J. J. [1865] Mess. Mth. 4 (1868) 

 25-, 187-. 



, special. Cayley, A. QJ. Mth. 11 (1871) 

 211-. 



surfaces of algebraic equations, coefficients 

 being coordinates. Czuber, E. Mh. Mth. 

 Ps. 5 (1894) 62-. 



, transformation of characteristic equations 



by. BrioscM, F. Tortolini A. 7 (1856) 64-. 

 Discriminantal equation, roots. Brisse, C. 



N. A. Mth. 9 (1890) 367-. 

 Discriminants. Bellavitis, G. Yen. At. (1858- 



59) 65-, 82-. 



. Brill, A. Mth. A. 12 (1877) 87-. 

 . Casorati, E. Mil. I. Lomb. Ed. 18 



(1885) 108-. 



of algebraic equations, factorisation of. 

 Netto, E. Mth. A. 24 (1884) 579-. 



functions of one variable. Kronecker, 



L. Crelle J. Mth. 91 (1881) 301-. 

 , arithmetical researches on non-essential 



factors of. Kernel, K. Crelle J. Mth. 113 



(1894) 128-. 

 , forms of, theorem. Kronecker, L. Crelle 



J. Mth. 100 (1887) 79-. 

 , formulae, and application to discriminants 



of discriminants, and to polar curves. 



Henrici, 0. [1868] L. Mth. S. P. 2 (1869) 



104-. 

 , invariants, covariants, and hyperdetenni- 



nants, elementary notions. Terquem, O. 



N. A. Mth. 18 (1859) 249-, 299-, 446-. 



of resultants. Brill, A. Gott.' Nr. (1889) 

 89-. 



and resultants of equations for singularities. 

 Meyer, F. Gott. Nr. (1888) 74-; (1890) 

 366-, 493-; (1891) 14-. 



, theorem. Sylvester, J. J. E. S. P. 14 

 (1865) 336-. 



, theory. Netto, E. Crelle J. Mth. 90 

 (1881) 164- ; Acta Mth. 1 (1882) 371-. 



Discriminating cubic ; representation of dis- 

 criminant as sum of squares. Tannery, J. 

 Bll. Sc. Mth. As. 7 (1883) (Pt. 1) 103-. 



determinant equations, reality of roots of. 

 Elliott, E. B. QJ. Mth. 31 (1900) 233-. 



equation (formed from symmetric deter- 

 minant), properties. Kaiser, . D. Nf. 

 Tbl. (1887) 228. 



equation, reality of roots of, when deter- 

 minant is not symmetric. Bendixson, I. 

 Stockh. Ofv. (1900) 1099-. 



Divisibility, notion including, and general theory 

 of elimination. Molk, J. Acta Mth. 6 

 (1885) 1-. 



Eliminant of 



). Muir, T. 



[1896] Edinb. E. S. P. 21 (1897) 360-. 

 , persymmetric. Muir, T. [1899] Edinb. 



B. S. P. 22 (1900) 543-. 

 of set of quaternary quadrics. Muir, T. 



[1896] Edinb. E. S. P. 21 (1897) 328-. 



Elimination 2020 



Eliminant of set of ternary quadrics. Muir, T. 



[1896] Edinb. E. S. P. 21 (1897) 220-. 

 or quaternary quadrics. Nanson, 



E. J. [1899] Edinb. E. S. P. 22 (1900 



353-. 

 , Sylvester's, form. Gordon, P. D. Nf. 



Vh. (1893) (Th. 2, Halfte 1) 4. 



of system of equations, degree. Vahlen, 

 K. T. Crelle J. Mth. 113 (1894) 348-. 



, formation. Biermann, 0. Mh. 



Mth. Ps. 5 (1894) 17-. 



two equations. Mansion, P. Brux. S. 

 Sc. A. 18 (1894) (Pt. 1) 5-. 



, degree. Janni, V. G. Mt. 12 



(1874) 27. 

 , . Lachlan, R. Camb. Ph. S. 



P. 9 (1898) 313-. 

 , dialytic form. Sylvester, J. J. 



Ph. Mg. 16 (1840) 132-. 

 Eliminants and associated roots. Elliott, E. B. 



L. Mth. S. P. 16 (1884-85) 224-. 

 , Sylvester's and Cauchy's, equality. 



Mansion, P. [1879] Mess. Mth. 9 (1880) 



60-. 



Elimination. 



Poisson, S. D. Par. EC. Pol. J. 4 (1801-2) 



(11" cah.) 199-. 



Badano, . Geneva Mm. Ac. 3 (1814) 125-. 

 Babbage, C. QJ. Sc. 3 (1817) 355-. 

 Poncelet, J. V. Gergonne A. Mth. 8 (1817-18) 



201-. 

 Gergonne, J. D. Gergonne A. Mth. 21 (1830- 



31) 41-. 

 Murphy, E. [1832] Camb. Ph. S. T. 5 (1835) 



65-. 



Sylvester, J. J. Ph. Mg. 17 (1840) 379-. 

 Liouville, J. Liouv. J. Mth. 6 (1841) 345-. 

 Terquem, 0. N. A. Mth. 1 (1842) 125-. 

 Moon, E. Camb. Mth. J. 3 (1843) 183-. 

 Finck, B. Liouv. J. Mth. 9 (1844) 334-. 

 Bouillon, . N. A. Mth. 4 (1845) 120-. 

 Cockle, Jas. Ph. Mg. 27 (1845) 292-. 

 Cayley, A. Crelle J. 34 (1847) 30-. 

 Crelle, A. L. Crelle J. 43 (1852) 37-. 

 Genocchi, A. N. A. Mth. 14 (1855) 259-. 

 Cayley, A. [1861] Crelle J. 60 (1862) 373-. 

 Lemonnier, H. C. E. 80 (1875) 252-. 

 Eouche-, E. N. A. Mth. 16 (1877) 105-. 

 Lemonnier, H. Par. EC. Norm. A. 7 (1878) 



77-, 151-. 

 Mansion, P. C. E. 87 (1878) 975- ; Brux. Ac. 



Bll. 46 (1878) 899-; 47 (1879) 532-; 48 



(1879) 463-, 473-. 

 Le Paige, C. M. M. H. H. C. E. 90 (1880) 



1210-. 



Biehler, C. N. A. Mth. 1 (1882) 529-. 

 Laurent, H. N. A. Mth. 11 (1892) 5-. 

 Worontzoff, . N. A. Mth. 11 (1892) 291-. 

 Laurent, H. N. A. Mth. 12 (1893) 355-. 

 Hadamard, J. C. E. 119 (1894) 995-, 1243 ; 



Acta Mth. 20 (1897) 201-. 

 Netto, E. Giessen Oberh. Gs. B. 32 (1897-99) 



78-. 

 Bezout-Cauchy method. Falk, M. Ups. S. 



Sc. N. Acta 10 (1879) No. 15, 36 pp. 

 . Hioux, V. N. A. Mth. 18 (1879) 289-. 



137 



