2070 Algebraic Forms 



Quadratic forms, algebraic theory. Darboux, G. 



Liouv. J. Mth. 19 (1874) 347-. 

 , families, algebraic reduction. Kronecker, 



L. Berl. Ak. Sb. (1890) 1375- ; (1891) 9-, 



33-. 

 , Gauss' s method for canonisation. Somov , 



O. I. [1873] St. Pet. Ac. Sc. Mm. (Rs.) 23 



(* 1874) 26-. 

 , symmetric. Schapira, H. D. Mth. Vr. 



Jbr. 3 (1894) 99-. 

 , systems (priority question). Jordan, C. 



C. E. 78 (1874) 1763-. 

 , theory. Morera, G. Mil. I. Lomb. Ed. 



19 (1886) 552-. 

 , . Jamet, V. Mars. Fac. Sc. A. 10 



(1900) Fasc. 5, 18 pp. 



with 2 series of variables. Le Paige, 

 C. M. M. H. H. C. K. 94 (1882) 424-. 



and Hermite forms, families of real. Loeicy, 

 A. Crelle J. Mth. 122 (1900) 53-. 



n-ary forms. Cauchy, A. L. C. K. 44 (1857) 

 361-, 416. 



, criteria for reduction to w-ary (m<n). 



Valyi, G. Mth. Termt. fits. 5 (1887) 226- ; 



Mth. Nt. B. Ung. 5 (1886-87) 16-. 

 , multiplication. Huricitz, A. Gott. 



Nr. (1898) 309-. 

 Quadrilinear form, and surfaces of the 3rd order. 



Le Paige, C. Brux. Ac. Bll. 8 (1884) 555-. 

 Quaternariants, algebraically complete system. 



Mair, D. B. [1894] Camb. Ph. S. T. 16 



(1898) 1-. 

 , systems. Forsyth, A. R. Camb. Ph. 



S. T. 14 (1889) 409-. 

 Quaternary cubic forms. Salmon, G. Phil. 



Trans. (I860) 229-. 

 transformation. Clebsch, A. Crelle 



J. 58 (1861) 109-. 



forms with 2 series of variables. Autonne, 

 . Brux. Mm. Cour. 4, 59 (1901) (Pt. 2) 

 254 pp. 



7i-ics, number of proper. Cunningham, 

 (Lt.-Col.) A. Mess. Mth. 23 (1894) 8-. 



quadratic forms, positive. Korkine, A., (& 

 Zolotareff, G. Mth. A. 5 (1872) 581-. 



, , reduction. Charve, L. Par. EC. 



Norm. A. 11 (1882) 119-. 



quartic forms, representation as sums of 10 

 biquadratics. Reye, T. Crelle J. Mth. 78 

 (1874) 123-. 



Reduction of 2w=(M 11 , U K , ...1^x 1 , x 2 , ...) 2 to 

 a sum of squares. Hatliaway, A. S. J. H. 

 Un. Cir. [3]'(1884) 57-. 



Semi-covariants of -ary forms. Gallucci, G. 

 G. Mt. 35 (1897) 206-. 



Sums of 8 squares, products. (Extension of 

 theorem of Euler's.) Young, J. R. Ir. Ac. 

 P. 4 (1850) 19-. 



Sylvester's canonical form of quaternary cubic. 

 Reye, T. Crelle J. Mth. 78 (1874) 114-. 



System (s<f>-\(/) of quadratic forms. Weier- 

 strass's theorem on multiple roots of dis- 

 criminant. Hovestadt, H. Z. Mth. Ps. 26 

 (1881) 392-. 



Ternary and quaternary linear transformations, 

 generating systems. White, H. S. Am. J. 

 Mth. 14 (1892) 274-. 



Theory of Equations 2400 



Theory of Equations. 

 2400 General. 



Addition-substitutions in algebraic equations. 



Bertelsen, B. P. N. Ts. Mth. 9 (B) (1898) 



84-; Fschr. Mth. (1898) 73. 

 Algebraic equation, depression of, owing to 



linear relation between roots. Sayre, H. A. 



[1891] A. Mth. 6 (1891-92) 45-. 



and its derivative, relation between roots. 

 Berg, F. J. van den. N. Arch. Wisk. 9 (*1882) 

 1-, 60; 11 (1884) 153- ; 15 (1888) 100- ; 

 Fschr. Mth. (*1882) 51; (1884) 76; (1888) 



equations. Siebel, A. Arch. Mth. Ps. 56 

 (1874) 422-; 57 (1875) 73-, 350- ; 58 (1876) 

 127- ; 60 (1877) 138- ; 61 (1877) 122- ; 65 

 (1880) 394-; 67 (1882) 375-. 



. w es t, E. C. E. 91 (1880) 598-, 664-. 



, application of form theory to. Szabo, 



P. Orv.-Termt. Ets. (Termt. Szak) (1894) 



153-. 

 and an arithmetical progression, theorem. 



Volpicelli, P. N. A. Mth. 14 (1855) 120-. 

 Cotes's theorem. Beltrami, E. G. 



Mt. 1 (1863) 123- . 



, rationalisation. Forstemann, W. A. 

 Crelle J. 14 (1835) 236-. 



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



J. 8 (1853) 97-. 

 , theorems. Mathieu, E. N. A. Mth. 15 



(1856) 409-. 



, . Lucas, F. C. E. 78 (1874) 431-. 



, , general. Laguerre, E. N. A. Mth. 



19 (1880) 241-. 

 , theory. Brassinne, E. Toul. Mm. Ac. 



1 (1863) 23-. 



, . Konig, J. Mth. A. 21 (1883) 424-. 



, , developments. Kronecker, L. Berl. 



Ak. Mb. (1879) 205-. 



, , an extension. Sylvester, J. J. C. E. 



58 (1864) 689-. 



whose highest powers have small coeffi- 

 cients. Morton, W. B. QJ. Mth. 31 (1900) 

 247-. 



(repeated) transformation, principle of. 

 Schapira, H. Heidi. Nt. Md. Vh. 4 (1892) 

 25-. 



transformation. Homer, W. G. [1823] 

 Mathematician 1 (1845) 108-, 136-, 311- ; 



2 (1847) 32-, 129-. 



Alternate functions and cyclotomy. Cauchy, 



A. L. C. E. 10 (1840) 178-. 

 Coefficients in a transformed equation. Lodge, 



A. Mess. Mth. 12 (1883) 178-. 

 Complex magnitudes applied to solution of 



equations. Lerch, M. Casopis 20 (1891) 



265-, 302- ; Fschr. Mth. (1891) 83. 

 Construction of equations, historico-critical 



notice. Favaro, A. Mod. Ac. Sc. Mm. 18 



(1878) 127- ; 19 (1879) 233-. 

 ubic 



Cubic and higher involutions. Fries, J. de. 



Mh. Mth. Ps. 5 (1894) 1-. 

 involutions. Fries, J. de. Palermo Cir. 



Mt. Ed. 5 (1891) 289-; Amst. Ak. Vs. 3 



(1895) 64-. 



156 



