2010 Determinants 



Symmetric determinant, special. Geftenbauer, 

 L. [1880] Wien Ak. Sb. 82 (1881) (Ab. 2 

 938-. 



, , note. Muir, T. Des Moines Anal. 



8 (1881) 169-. 



determinants. Mertens, F. Crelle J. Mth. 

 82 (1877) 207-. 



, class. Noether, M. Mth. A. 16 (1880) 



551-. 

 , , and its use in continued fractions. 



Studnicka, F. Prag Sb. (1872) 74-. 

 , new properties. Muir, T. QJ. Mth. 



18 (1882) 166-. 



, theorem relating to. Buchheim, A. 

 Mess. Mth. 14 (1885) 143-. 



forms of determinants. Scott, R. F. Mess. 

 Mth. 8 (1879) 131-, 145-. 



, skew-symmetric, and orthogonal matrices, 

 properties. Taber, H. L. Mth. S. P. 22 

 (1891) 449-. 



, , , . Metzler,W.H. Am. 



J. Mth. 15 (1893) 274-. 



Systems of moduli applied to theory of deter- 

 minants. Kronecker, L. Crelle J. Mth. 107 

 (1891) 254-. 



Three-dimensional determinants. Hedrick, E, 

 E. [1899] A. Mth. 1 (1900) 49-. 



Transformable system, determinant of a. 

 Deruyts, J. Brux. Ac. Bll. 32 (1896) 433-. 



Transformation of determinant into any equi- 

 valent determinant. Van Velzer, C. A. 

 Des Moines Anal. 9 (1882) 116-. 



. Muir, T. Des Moines 



Anal. 10 (1883) 8-. 



continuant. Muir, T. [1881] 



Edinb. E. S. T. 30 (1883) 5-. 



. Chrystal, G. [1881] Edinb. 



E. S. T. 30 (1883) 13-. 



determinants in conic sections. Caspary, 



F. [1880] Crelle J. Mth. 92 (1882) 123-. 

 , mode of. Fouret, G. Par. S. Mth. 



Bll. 14 (1886) 146- . 



, proof. Fiore, V. G. Mt. 10 (1872) 



170. 



formulae. Rubini, R. G. Mt. 16 (1878) 

 198-, 344. 



, a new. Studnicka, F. J. Prag Sb. (1879) 

 489-. 



of product of determinants, Sylvester's 

 theorem, note. Sperling, J. F. de. Liouv. 

 J. Mth. 5 (1860) 121-. 



rectangular coordinates. Janse, L. (Bz.) 



N. Arch. Wisk. 12 (1886) 109- ; Fschr. Mth. 

 (1885) 676.' 



Transformations of determinants. Siacci, F. 

 [1872] A. Mt. 5 (1871-73) 296-. 



Triangle, application of determinants to geo- 

 metry of. Avillez, J. F. d' (Visconde de 

 Reguengo). [1897] Lisb. J. Sc. Mth. 5 

 (1898) 14-. 



, determinant giving area in terms of sides. 

 Ritsert, E. Z. Mth. Ps. 17 (1872) 513-. 



Two-step determinants, theorem. Torelli, G. 

 . G. Mt. 4 (1866) 294-. 



Uni-modular determinant, construction. 

 Weihrauch, K. Z. Mth. Ps. 21 (1876) 134-. 



Vanishing aggregates of determinants. Muir, 

 T. [1888] Edinb. E. S. P. 15 (1889) 96-. 



Discriminants and Resultants 2020 



Wronskian determinant. Peano, G. Mathesis 



9 (1889) 75-, 110- ; Em. E. Ac. Line. Ed. 6 



(1397) (Sem. 1) 413-. 

 . Vivanti, G. Em. E. Ac. Line. Ed. 7 



(1898) (Sem. 1) 194-. 

 , generalisation of properties. Pincherle, 



S. Em. E. Ac. Line. Ed. 6 (1897) (Sem. 1) 



301-. 

 , . Bortolotti, E. Em. E. Ac. 



Line. Ed. 7 (1898) (Sem. 1) 45-. 



determinants. Lecornu, L. As. Fr. C. E. 

 (1894) (Pt. 2) 282-. 



, properties and some applications. 

 Dickstein, S. Prace Mt.-Fiz. 1 (1888) 5-; 

 Fschr. Mth. (1888) 151. 



Wronskians, fundamental property. Demoulin, 



A. Mathesis 17 (1897) 62-. 

 Zero-determinants of infinite order. Cazzaniga, 



T. A. Mt. 1 (1898) 83-. 



2020 Discriminants and 

 resultants. 



Algebraic aggregate, discriminant. Hensel, K. 



Gott. Nr. (1897) 247-. 

 , fundamental equation, and non-essential 



factors of the discriminant. Hensel, K. 



Gott. Nr. (1897) 254-. 



equivalences and elimination. Laurent, H. 

 N. A. Mth. 5 (1886) 432-, 456-. 



resolvents. Rados, G. Mth. Termt. Ets. 

 17 (1899) 421- ; Mth. Nt. B. Ung. 18 (1903) 

 236-. 



C-discriminant as an envelope. Macdonald, 



J. A. Edinb. E. S. T. 39 (1900) 27-. 

 Continuant, the discriminant of a special 



quadratic form. Cesdro, E. Mathesis 12 



(1892) 5-. 

 Determinantal equation connected with small 



oscillations, etc. Muir, T. Mess. Mth. 14 



(1885) 141-. 



, Lagrange's. Muir, T. Ph. Mg. 43 

 (1897) 220-. 



, , Sylvester's proof of the reality of the 



roots of. Muir, T. Am. J. Mth. 19 (1897) 

 31 2-. 



, reciprocity of roots (Brioschi's theorem). 



Faa de Bruno, F. Liouv. J. Mth. 19 (1854) 

 304. 



Determination of common roots of given equa- 

 tions by means of their eliminant. Baraniecki, 

 M. A. Par. T. Nauk Sc. Pam. 10 (*1878) 

 Art. 5, 7 pp. 



Discriminant of cubic giving axes of a quadric 

 surface, decomposition into sum of squares. 

 Bauer, G. [1868] Crelle J. Mth. 71 (1870) 

 40-. 



, degree with respect to a parameter. 

 Roberts, E. [1869] QJ. Mth. 10 (1870) 

 204-. 



of finite hypergeometric Beries. Hilbert, D. 

 Crelle J. Mth. 103 (1888) 337-. 



general quadratic. Dupuis, N. F. Cn. 



E. S. P. & T. 7 (1890) (Sect. 3) 15-. 



Jacobians of three quadratic forms. 

 Igel, B. [1876] Wien Ak. Sb. 74 (1877) 

 (Ab. 2) 355-; 75 (1877) (Ab. 2) 830-. 



136 



