0850 Matrices 



Vector fields, properties. Donati, L. Bologna 

 Ac. Sc. Mm. 7 (1897) 427-. 



, theory, as preliminary to study of elec- 

 tricity and magnetism. Ferraris, G. Tor. 

 Ac. Sc. Mm. 47 (1897) 259-. 



functions. Burkhardt, H. Mth. A. 43 

 (1893) 197-. 



quantities, certain. Bjerknes, V. Christiania 

 Skr. (Mth.-Nt. Kl.) (1898) No. 4, 27pp. 



ratios considered as trigonometric functions 

 of angles. Stringham, W. I. (xn) [1879] 

 J. H. Un. Cir. [1] (1882) 35. 



Vectorial coordinates. Sylvester, J. J. Ph. 

 Mg. 31 (1866) 287-, 380-. 



geometry on complexes of second order 

 having a centre of figure. Genty, . 

 Liouv. J. Mth. 8 (1882) 299-. 



Vectors, application to central motion. Cas- 

 tellano, F. Tor. Ac. Sc. At. 29 (1894) 80-. 



, calculation with Ptolemy's theorem gene- 

 ralised. Riecke,. Grunert Arch. 32 (1859) 

 470-. 



of ellipse and related curves, sums and 

 products. Schlomilch, 0. X. Z. Mth. Ps. 

 26 (1881) 59-. 



, kinematic applications of theory. Cas- 

 tellano, F. Ev. Mt. 2 (1892) 19-. 



and linear transformations, with physical 

 applications. Carvallo, E. Mh. Mth. Ps. 

 2 (1891) 177-, 225-, 311-. 



, , note on Carvallo's paper. 



Peano, G. Mh. Mth. Ps. 5 (1894) 136. 

 quaternions. Knott, C. G. Nt. 48 (1893) 



148-. 

 . Lodge, A. Nt. 48 (1893) 198-. 



. Macfarlane, A. Nt. 48 (1893) 

 540-. 



, relation among four. Tail, P. G. [1889] 



Edinb. E. S. P. 16 (1890) 88-. 

 , scalar relations connecting six. Wilkinson, 



(Rev.) M. M. U. [1889] Edinb. E. S. P. 16 



(1890) 773-. 

 , theory. Zeiliger, D. N. N. Es. S. Nt. Mm. 



(Mth.) 11 (1890) 1-, 149- ; 13 [?1891] 1-; 



Fschr. Ps. (1890) (Ab. 1) 239. 

 , , analysis. Peano, G. Tor. Ac. Sc. At. 



33 (1897) 313- or 513-. 

 , recent innovations. Knott, C. G. 



[1892] Edinb. E. S. P. 19 (1893) 212-. 

 , , teaching. Fontene, G. Ens. Mth 1 



(1899) 50-. 



versus quaternions. Heaviside, 0. Nt. 47 

 (1892-93) 533-. 



Macfarlane, A. Nt. 48 (1893) 

 75. 



which can be compounded, theory. 

 Berruti, G. Tor. Ac. Sc. At. 29 (1894) 

 115, 531-. 



0850 Matrices. 



Algebraic resolvents. Rados, G. Mth. Termt 



Birational transformations, prime factors 

 Kantor, S. Mh. Mth. Ps. 10 (1899) 54-. 



Matrices 0850 



Characteristics of systems of three dimensions. 



Suvorov, T. M. (xn) Kazan Un. Mm. 7 



(1871) 3-. 

 Complex numbers. Poincare, H. C. E. 99 



(1884) 740-. 

 Differential equation to a curve of any order. 



Sylvester, J. J. Nt. 34 (1886) 365-. 

 Elementary universal geometry, new terms. 



Sylvester, J. J. Nt. 32 (1885) 576-. 

 Equations in matrices. Sylvester, J. J. J. H. 



Un. Cir. [3] (1884) 122. 

 multiple quantity. Sylvester, J. J. Nt. 



31 (1885) 35-. 

 Exchangeable matrices. Frobenius, G. Berl. 



Ak. Sb. (1896) 601-. 

 Hamilton's quadratic equation, and the general 



unilateral equation in matrices. Sylvester, 



J. J. Ph. Mg. 18 (1884) 454-. 



a general method for unilateral 

 equations in matrices of any order. Sylvester, 

 J. J. C. E. 99 (1884) 621-. 



quaternions and Cayley's matrices. Wettum, 

 T. B. van. N. Arch. Wisk. 17 (1890) 206- ; 

 Fschr. Mth. (1890) 699-. 



Harriot's law on algebraic equations, extension 



to matrices. Sylvester, J. J. C. E. 98 



(1884) 1026-. 

 Infinite and imaginary, use in service of finite 



and real. Sylvester, J. J. Nt. 32 (1885) 



103-, 271. ' 

 Interpolation-formula in matrices, extension of 



Sylvester's. Buchheim, A. Ph. Mg. 22 (1886) 



173. 

 Invariants, arithmetical, of a rectangular 



matrix. Smith, H. J. S. L. Mth. S. P 



4 (1871-73) 236-. 

 Inverse orthogonal matrices, etc. Sylvester, 



J. J. Ph. Mg. 34 (1867) 461-. 

 Involutant of two binary matrices. Cay ley, A. 



Mess. Mth. 20 (1891) 136-. 

 Involutants and allied species of invariants to 



matrix systems. Sylvester, J. J. (xn) 



[1883-84] J. H. Un. Cir. [3] (1884) 9-, 



Involution of two matrices of second order. 



Sylvester, J. J. B. A. Ep. (1883) 430-. 

 Linear equation in matrices of any order, 



general resolution. Sylvester, J. J. C. E. 



99 (1884) 409-, 432-, 481. 



trinomial equation in matrices of any 

 order. Sylvester, J. J. C. E. 99 (1884) 

 527-, 576. 



Matrical equation px = xq. Sylvester, J J 



C. E. 99 (1884) 67-, 115-. 

 qQ-Qq' = 0. Cayley, A. Mess. Mth. 



14 (1885) 176-. 

 00 = 00. Taber, H. Am. Ac. P. 26 



(1891) 64-. 

 Matrices. Tyler, H. W. Erlang. Ps. Md. S 



Sb. 23 (1891) 33-. 

 , application of theory to linear differential 



equations. Brill, J. Camb. Ph. S. P 8 



(1895) 201-. 



and associated systems of complex quan- 

 tities. Weyr,E. Prag Sb. (1887) (Mth.-Nt.) 

 616-. 



, classification. Weyr, E. C. E. 100 (1885) 

 966. 



G2 



