2040 



General Theory of Quantics 



2040 



Invariants, theory, elementary development of 



principles. Gram, J. P. (xii) Ts. Mth. 3 



(1873) 1-. 

 , , foundations. Veltmann, W. Z. Mth. 



Ps. 22 (1877) 277-. 

 , , fundamental problem. Clebsch, R. F. A . 



Gott. Ab. 17 (1872) 62 pp. ; Mth. A. 5 (1872) 



427-. 

 , , new application. Fuchs, L. Crelle J. 



Mth. 81 (1876) 97-. 

 Involution, theory. Cayley, A. [1864] Camb. 



Ph. S. T. 11 (1871) 21-. 

 , , in connection with algebraic forms. 



Deruyts, F. Brux. Ac. Bll. 14 (1887) 



650-. 

 Involutions. Gerbaldi, F. Palermo Cir. Mt. 



Ed. 9 (1895) 167-. 



with ordinary singularities. Guccia, G. B. 

 Palermo Cir. Mt. Ed. 7 (1893) 49-; 8 (1894) 

 227-. 



Irrational covariants. Klein, F. Gott. Nr. 



(1888) 191-. 

 Isobaric function, properties. Amanzio, D. 



Nap. Ac. Pont. At. 17 (1887) 85-. 

 functions. Fan de Bruno, F. Tortolini A. 



7 (1856) 76-. 



. Stassano, P. G. Mt. 24 (1886) 

 57-. 



homogeneous functions. Cesaro, E. G. Mt. 

 22 (1884) 33-, 166. 



Jacobians and polar opposites. Clifford, W. K. 



(i) Mess. Mth. 2 (1864) 229-. 

 Joachimsthal, theorem, remark. Lebesgue, 



V. A. N. A. Mth. 7 (1848) 225-. 

 Kronecker's modular systems, and inertia of 



quadratic forms. Netto, E. Crelle J. Mth. 



110 (1892) 184-. 

 Linear forms, theory. Hensel, K. Crelle J. 



Mth. 107 (1891) 241-. 

 transformations and theory of covariants. 



Deruyts, J. Brux. Mm. Cour. 4, 51 (1889) 



No. 9, 22 pp. 

 Multiple forms, theorem. Peano, G. Tor. Ac. 



So. At. 17 (1881) 73-. 

 involutions. Valyi, G. Mth. Termt. Ets. 



12 (1894) 394-; 13 (1895) 408- ; 14 (1896) 



381- ; Mth. Nt. B. Ung. 13 (1897) 244-, 



259-, 343-. 

 points in systems of equations and of their 



Jacobian. Barcroft, D. [1886] J. H. Un. 



Cir. [6] (1886-87)' 30. 

 Multiplicity, new theory. Sylvester, J. J. Ph. 



Mg. 3 (1852) 460-. 

 Operator that produces all the covariants and 



invariants of any system of quantics. Story, 



W. E. L. Mth. S. P. 23 (1892) 265-. 

 Perpetuants, applications to theory of finite 



quantics. Hammond, J. Am. J. Mth. 8 



(1886) 104-. 

 Projective invariants, report. White, H. S. 



[1898] N. Y. Am. Mth. S. Bll. 5 (1899) 



161-. 

 Quadratic forms, formulae. Day, E. H. G. 



QJ. Mth. 14 (1877) 184-. 

 , geometric interpretation of invariants. 



Hesse, L. 0. Crelle J. 45 (1853) 82-. 

 , non-homogeneous. Cremona, L. Mil. 



I. Lomb. Ed. 4 (1867) 199-. 



Quadratic forms, physical theories involving. 

 Maxwell, J. C. L. Mth. S. P. 4 (1871-73) 

 334-. 



in n variables. Cotterill, J. H. (n) 

 Mess. Mth. 2 (1864) 210-. 



, reduction. Jordan, C. C. E. 93 (1881) 

 113-, 181-, 234-. 



, theorem, and application to small oscil- 

 lations. Weierstrass, C. T. W. Berl. Mb. 

 (1858) 207- ; Berl. Ak. Mb. (1879) 430-. 



, of Weierstrass. Brioschi, F. (vi 



Adds.) Tortolini A. 1 (1858) 250-. 



Quadrilinear forms. Le Paige, C. M. M. H. H. 

 [1882] Tor. Ac. Sc. At. 17 (1881) 299-. 



Quadriquadric function, two invariants of a. 

 Cayley, A. Mess. Mth. 20 (1891) 68-. 



Quantic. Catalan, E. C. C. E. 47 (1858) 

 1073-. 



with n variables, reduction to one with n - 1. 

 Hesse, L. O. Crelle J. 42 (1851) 117-. 



Quantics. Lejeune-Dirichlet, G. Berl. B. (1841) 



280-. 



. Genoechi, A. N. A. Mth. 12 (1853) 393-. 

 . Cayley, A. Phil. Trans. 144 (1854) 245-; 



146 (1856) 101-, 627-; 148 (1859) 415-, 429-; 



149 (1860) 61-; 151 (1862) 277-; 157 (1867) 



513- ; 161 (1871) 17-; 169 (1878) 603- ; E. 



S. P. 23 (1875) 496 (corr.). 

 . Laisant, . Par. S. Mth. Bll. 20 (1892) 



117-. 



of alternate numbers used for determining 

 invariants and covariants of quantics in 

 general. Clifford, W. K. L. Mth. S. P. 

 10 (1878-79) 124-. 



, decomposition into linear factors. Painvin, 



L. C. E. 50 (1860) 84-; Liouv. J. Mth. 6 



(1861) 209-. 

 , general properties. Sylvester, J. J. Camb. 



and Dubl. Mth. J. 6 (1851) 1-. 

 , theorems. Gundelfinger, S. Mth. A. 



4 (1871) 164-. 



, theory and application to curves and 

 surfaces. Reiss, M. Mth. A. 2 (1870) 



385-. 

 , index symbol. Carmicliael, E. Camb. and 



Dubl. Mth. J. 6 (1851) 277-; 8 (1853) 



81-. 

 , method. Terquem, 0. N. A. Mth. 7 (1848) 



5-. 

 , note. Aelt, . N. A. Mth. 3 (1864) 



289-. 

 , properties. Malmsten, C. J. Ts. Mt. Fys. 



4 (1871) 225-. 

 , property. Gukovskij, A. N. Es. S. Nt. 



Mm. (Mth.) 11 (1890) 145-. 

 , theory. Hesse, L. O. Crelle J. 56 (1859) 



263-. 

 Eeciprocity, Hermite's law. Gordan, P. Gott. 



Nr. (1897) 182-. 

 , , extension. Deruyts, J. Brux. Ac. 



Bll. 22 (1891) 11-. 



laws. Igel, B. Wien Ak. D. 54 (1888) 

 (Ab. 2) 75-. 



in theory of algebraic forms. Brioschi, F. 

 Tortolini A. 7 (1856) 303-. 



Eeduced invariant functions, characteristic 

 equations. Deruyts, J. Brux. Ac. Bll. 25 

 (1893) 450-. 



145 



