2020 Elimination 



Discriminants and Resultants 2020 



theory. Cayley, A. Camb. and Dubl. Mth. 



J. 3 (1848) 116-. 



. Salmon, G. QJ. Mth. 7 (1866) 327-. 

 . ArzeKi, C. [1876] G. Mt. 15 (1877) 62-, 



. Noether, M. [1876] Erlang. Ps. Md. S. 



Sb. 9 (1877) 66-. 



. Toeplitz, J. Z. Mth. Ps. 23 (1878) 61-. 

 . Laurent, H. N. A. Mth. 2 (1883) 145-. 

 . Netto, E. Acta Mth. 7 (1885) 101-. 

 . Schmidt, C. Z. Mth. Ps. 31 (1886) 214-. 

 . Schendel, L. Z. Mth. Ps. 32 (1887) 46-. 

 . Laurent, H. N. A. Mth. 7 (1888) 60-, 116-. 

 . Loria, G. G. Teix. J. Sc. 9 (1889) 33-. 

 . Kretkmvski, W. Prace Mt.-Fiz. 2 (1890) 



21- ; Fschr. Mth. (1890) 174-. 

 . Pleskot, A. Prag Ceske Ak. Fr. Jos. Ez. 



(Tfida 2) 5 (1896) Art. 25, 13 pp.; Fschr. 



Mth. (1896) 91. 

 . Mertens, F. Wien Ak. Sb. 108 (1899) 



(Ab. 2 a) 1173-, 1344-. 

 , and algebraic curves. Brill, A. Mth. A. 4 



(1871) 510-. 

 , principle of projection in. Meyer, F. D. 



Nf. Vh. (1890) (Th. 2) 9-. 

 transformation and canonical forms . Sylvester, 



J. J. Camb. and Dubl. Mth. J. 6 (1851) 



186-. 

 of two arbitrary functions. Tanner, H. W. L. 



[1875] Mess. Mth. 5 (1876) 98-. 

 between two equations. Valerius, B. Liege 



A. Ac. (1826-27) 75 pp. 

 . Meyer, A. Quetelet Cor. Mth. 5 



(1829) 100-. 

 . Jacobi, C. G. J. Crelle J. 15 



(1836) 101-. 

 . Petersen, J. P. C. (xn) [1873] Ts. 



Mth. 4 (1874) 83-. 

 . Zeuthen, H. G. (xn) Ts. Mth. 4 



(1874) 165-. 

 . Cauchy, . N. A. Mth. 15 (1876) 



385-, 433-. 

 . Forestier, C. Toul. Ac. Sc. Mm. 9 



(1877) 142-. 

 . Mansion, P. Brux. Ac. Bll. 48 



(1879) 491-. 

 . Kronecker, L. Berl. Ak. Mb. 



(1881) 535-. 

 , application of indeterminate analysis. 



Wallace, (Prof.) W. Edinb. Ph. J. 1 (1819) 



29-. 

 , final equation. Hesse, L. 0. Crelle 



J. 27 (1844) 1-. 

 in one unknown. Darboux, G. (rx) 



Bll. Sc. Mth. As. 10 (1867) 56- ; 1 (1877) 54-. 



two unknowns. Vene, A. A. 

 Brux. Mm. Cour. 4 (1824) (No. 2) 26 pp. 



. Finck, B. N. A. Mth. 4 



(1845) 198-. 

 . of 2nd order. Horner, W. G. Ph. 



Mg. 5 (1834) 188-. 

 ,2 unknowns. Merlieux, E, 



N. A. Mth. 2 (1843) 34-. 

 3rd order. Clebsch, E. F. A. 



[1864] Crelle J. 64 (1865) 95-. 



three equations of 2nd order. Hesse, L. 0. 

 Crelle J. 28 (1844) 68-. 



Eliminations arising in trigonometry. Meyer, 



F. D. Mth. Vr. Jbr. 4 (1897) 92-. 

 , equations resulting from various. Bezout, 



. N. A. Mth. 18 (1859) 120-. 

 Equation for max. and min. of n-ary quadric. 



Gravelaar, N. L. W. A. N. Arch. Wisk. 4 



(*1878) 113-. 



of squares of differences. Brioschi, F. 

 Tortolini A. 7 (1856) 5-. 



Equations whose discriminant is a square. 



Netto, E. Crelle J. Mth. 95 (1883) 237-. 

 Gauss's method of substitution. Johnson, W. W. 



A. Mth. 7 (1892-93) 65-. 

 Order of manifoldness arising from several 



linear systems. Fieri, M. Palermo Cir. 



Mt. Ed. 11 (1897) 58-. 

 ^-discriminant of differential equation of first 



order, and its connection with general theory 



of envelopes. Chrystal, . Edinb. E. S. 



T. 38 (1897) 803-. 

 Power determinant, a. Jung, V. Casopis 29 



(1900) 41- ; Fschr. Mth. (1900) 157. 



determinants. Jung, V. Prag Ceske" Ak. 

 Fr. Jos. Ez. (Tfida 2) 8 (1899) Art. 38, 

 22 pp. ; Fschr. Mth. (1899) 153. 



Product of differences of roots of equations, 



relation of discriminants and resultants to. 



Sylvester, J. J. Mess. Mth. 9 (1880) 164-. 

 Property of product of linear factors. Brioschi, 



F. Camb. and Dubl. Mth. J. 9 (1854) 137-. 

 Eesultant of a covariant and a fundamental 



form. Kohn, G. Wien Ak. Sb. 100 (1891) 



(Ab. 2a) 1013-. 



, degree. Ise, E. G. Mt. 11 (1873) 253-. 

 of elimination of z from algebraic equations 



f(z) = Q and <f>(z) = Q, new representation. 



Rosenhain, G. Crelle J. 30 (1846) 157-. 

 , Euler's. Hesse, L. 0. Tortolini A. 2 



(1859) 5-. 



and G.C.M. of integral algebraical ex- 

 pressions. Sziits, N. von. Mh. Mth. Ps. 9 

 (1898) 34-. 



of integral functions. Biermann, 0. Mh. 

 Mth. Ps. 2 (1891) 143-. 



multipartite system of equations, degree 



and "weight." Sylvester, J. J. E. S. P. 12 



(1862-63) 674-. 

 n equations. Faa de Bruno, F. Tortolini 



A. 7 (1856) 222-. 

 an jj-ic and of a cubic. Pascal, E. G. 



Mt. 25 (1887) 257-. 

 , order of, case of evaporation. Clifford, 



W. K. [1870] L. Mth. S. P. 3 (1869-71) 80-. 



R of two forms of the mth and nth degrees, 

 P.D.E. satisfied by. Gordon, P. Gott. Nr. 

 (1870) 427-. 



, the reduced. Brill, A. Munch. Ak. Ab. 17 

 (1892) 89-. 



of several algebraic equations. Laurent, H. 

 N. A. Mth. 12 (1893) 305-. 



system of equations. Schlafli, L. Wien 



D. 4 (1852) (Ab. 2) 1-. 

 (Schlafli). Cayley, A. Crelle 



J. 50 (1855) 277-. 

 two equations. Cayley, A. [1857- 



67] Phil. Trans. 147 (1857) 703- ; 158 



(1868) 173-. 



139 



