2020 Discriminants and Resultants 



Eesultant of two congruences. Sylvester, J. J. 

 (xn) [1881] J. H. Un. Cir. [1] (1882) 131. 



equations. Brioschi, F. Creile J. 

 53 (1857) 372-. 



. Ise,E.[1868] G. Mt. 8 (1870) 1-. 



. Gordon, P. Mth. A. 3 (1871) 



355-; C. E. 127 (1898) 539-. 

 , application to twisted cubic curve. 



Waelsch, E. Mh. Mth. Ps. 2 (1891) 421-. 



, Brioschi's theorem. Fad de 

 Bruno, F. Creile J. 64 (1857) 283-. 



of 4th order. Faa de Bruno, F. 



Tortolini A. 1 (1858) 362-. 



forms of the same order, new repre- 

 sentation. Stahl, W. Mth. A. 35 (1890) 

 395-. 



Eesultants. Vanecek, M. N. Prag Sb. (1888) 

 (Mth.-Nt.) 152-. 



. Gordan, P. Mth. A. 45 (1894) 405-. 



, anastrophic. Cauchy, A. L. C. E. 44 

 (1857) 370. 



corresponding to interpolation. Borchardt, 

 C. W. Creile J. 57 (1860) 111-. 



of covariants. Gordan, P. Mth. A. 4 

 (1871) 169-. 



, formation. Reuschle, C. Z. Mth. Ps. 30 



(1885) 106-. 

 , note. Haskell, M. W. N. Y. Mth. S. Bll. 



1 (1892) 223-. 

 , property. Brill, A. [1879] Mth. A. 16 



(1880) 345-. 



of quantics, determination of their numerical 

 coefficients. Vanecek, M. N. Prag Sb. (1888) 

 (Mth.-Nt.) 286-. 



, theorems. Igel, B. [1877] Wien Ak. Sb. 



76 (1878) (Ab. 2) 145-. 

 .theory. Netto,E. Creile J. Mth. 116 (1896) 



33-; 117 (1897)57-. 

 , , extension. Sylvester, J. C.E.58(1864) 



1074-, 1130, 1178-. 

 , , note. Netto, E. Giessen Oberh. Gs. B. 



32 (1897-99) 37-. 



of two integral functions. Nagelsbach, H. 

 Z. Mth. Ps. 17 (1872) 333-. 



, remark on property. Kowalew- 



ski, G. Arch. Mth. Ps. 17 (1900) 202-. 

 , two, in theory of rectifiable compound 



logarithmic waves. Sylvester, J. J. Ph. 



Mg. 37 (1869) 375-. 

 Eoots common to two complete equations. 



Hioux, V. Par. EC. Norm. A. 10 (1881) 



383-. 

 equations. Abel, N. H. Gergonne 



A. Mth. 17 (1826-27) 204-. 

 . Brioschi, F. N. A. Mth. 14 



(1855) 81-. 

 . Garbieri, G. Catania Ac. 



Gioen. At. 6 (1893) Mm. 16, 9 pp. 

 Sub-discriminant. Perrin, R. Liouv. J. Mth. 



10 (1894) 129-. 



Sylvester's problem of the three ternary equa- 

 tions, new solution. McLaren, (Lord). 



Edinb. E. S. P. 19 (1893) 264-. 

 Vanishing discriminant, application. Azza- 



relli, M. Tortolini A. 3 (1860) 16-. 

 , applications to geometry. Azzarelli, M. 



Em. N. Line. At. 30 (1877) 290-. 



Linear Substitutions 2030 



2030 Characteristic properties of 

 linear substitutions; types of 

 linear substitutions. (See also 

 1210.) 



"Adjoint" substitutions, theory. Rados, G. 



[1891] Mth. Termt. Ets. 10 (1892) 34-; 



Mth. Nt. B. Ung. 10 (1893) 98-. 

 Analytic functions suitable to represent sub- 

 stitutions. Dickson, L. E. Am. J. Mth. 18 



(1896) 210-. 



Bipartite quadric, automorphic linear trans- 

 formation. Cayley, A. Phil. Trans. (1858) 



39-. 

 , . Muir, T. Am. J. Mth. 20 



(1898) 215-. 

 Canonical form, bi-orthogonal reduction of a 



lineo-linear form to. Sylvester, J. J. C. E. 



108 (1889) 651-. 

 of linear homogeneous substitution in a 



Galois field. Dickson, L. E. Am. J. Mth. 



22 (1900) 121-. 

 substitutions. Maschke, H. 



Mth. A. 50 (1898) 220-. 

 a linear substitution of finite order. 



Burnside, W. Mess. Mth. 28 (1899) 111-. 



quadric, proof of reduction by real 

 orthogonal substitution. Sylvester, J. J. 

 Mess. Mth. 19 (1890) 1-. 



, reduction of a linear substitution to. 

 Burnside, W. L. Mth. S. P. 30 (1899) 

 180-. 



, . Dixon, A. C. [1899] 



L. Mth. S. P. 31 (1900) 170-. 

 , .. Bromwich,T.J.PA. 



[1899] L. Mth. S. P. 31 (1900) 289-. 

 Characteristic functions of substitutions. 



Cauchy, A. L. C. E. 21 (1845) 1254-. 

 Equations containing linear functions of recti- 

 linear coordinates. Dieu, T. N. A. Mth. 



4 (1865) 165-. 

 Exchangeable linear substitutions. Amaldi, U. 



Mil. I. Lomb. Ed. 33 (1900) 731-. 

 . Schlesinger, L. Creile J. Mth. 121 



(1900) 177-. 



substitutions, theory. Demeczky, . C. E. 

 120 (1895) 39-. 



Induced linear substitutions. Franklin, F. 



Am. J. Mth. 16 (1894) 205-. 

 . Rados, G. Mth. Termt. Ets. 16 



(1898) 378-; Mth. Nt. B. Ung. 16 (1899) 

 241-. 



. Visnya, A. Mth. Nt. B. Ung. 16 



(1899) 187-. 



, groups. Rados, G. Mth. Termt. Ets. 



17 (1899) 44-; Mth. Nt. B. Ung. 17 (1901) 

 227-. 



substitutions, rank of determinant in. 

 Kurschdk, J. Mth. Termt. Ets. 18 (1900) 

 44-; Mth. Nt. B. Ung. 18 (1903) 229-. 



Integral linear substitutions. Pick, G. Mth. 



A. 24 (1884) 588-. 

 of determinant 1, composition of. 



Krazer, A. A. Mt. 12 (* 1883-84) 283-. 



140 



