2040 



General Theory of Quantics 



Contravariants, invariants and covariants. 



Janni, G. G. Mt. 1 (1863) 174-, 194-, 240-, 



340-. 

 Covariant, a definition. Keyser, C. J. N. Y. 



Am. Mth. S. Bll. 5 (1899) 468-. 



of system of n quantics. Newson, H. B. 

 N. Y. Am. Mth. S. Bll. 2 (1896) 272-. 



Covariants. Cayley, A. [1852] Crelle J. 47 

 (1854) 109-. 



. Jordan, C. C. E. 80 (1875) 875-. 



, algebra applied to theory. Roberts, M. 

 [1861] QJ. Mth. 5 (1862) 18-. 



, composition, theorem. Jordan, C. C. E. 

 81 (1875) 495-. 



, computation by transvection. McClintock, 

 E. Am. J. Mth. 14 (1892) 222-. 



, etc. Bellavitis, G. Yen. At. (1858-59) 

 65-, 82-. 



, formula for number of, extension to in- 

 dependent linear transformations. Capelli, 

 A. Em. E. Ac. Line. Mm. 15 (1883) 233-. 



of 4th order and 4th class of two conies, 

 simultaneous. Bjorling, C. F. E. Stockh. 

 Ofv. 33 (1876) No. 3, 21-. 



given degree, number of, for forms of 



any species. Capelli, A. G. Mt. 20 (1882) 



293-. 

 , lists. McClintock, E. N. Y. Mth. S. Bll. 



1 (1892) 85-, 236. 

 , note on certain. Le Paige, C. M. M. H. H. 



Brux. Ac. Bll. 1 (1881) 490-. 

 , primary. Deruyts, J. Brux. Ac. Bll. 20 



(1890) 116-. 

 , property of invariants of. Kohn, G. Wien 



Ak. Sb. 102 (1893) (Ab. 2o) 801-. 



of a system of quantics. Story, W. E. 

 Mth. A. 41 (1893) 469-. 



.theorem. Cayley, A. Mth. A. 5 (1872) 625-. 

 , . Jordan, C. C. E. 80 (1875) 1160-. 

 _, _. Cayley, A. [1878] Crelle J. Mth. 87 



(1879) 82-. 



, , general. Faa de Bruno, F. C. E. 90 



(1880) 1203-. 



, theorems. Faa de Bruno, F. [1880] Crelle 



J. Mth. 90 (1881) 186-. 

 , theory, etc. Brioschi, F. Mil. G. I. Lomb. 



8 (1856) 329-; Tortolini A. 1 (1858) 158-, 



296-, 549-; 2 (1859) 82-, 265-; 3 (I860) 



160-. 

 Critical functions. Cockle, Jas. QJ. Mth. 4 



(1861) 97-, 265-. 

 . Warren, J. W. [1863-64] QJ. Mth. 6 



(1864) 231-, 372-. 

 Cubic forms with any number of variables, 



property. Voss, A. Mth. A. 27 (1886) 515-. 

 Decomposable forms, especially cubics. Meyer, 



A. Ziir. Vjschr. 42 (1897) 149-. 

 Decomposition of forms, conditions. Hada- 



mard, . Par. S. Mth. Bll. 27 (1899) 34-. 

 Differences, products. Cayley, A. QJ. Mth. 



15 (1878) 174-. 

 Differential equations satisfied by concomitants 



of quantics. Forsyth, A. R. L. Mth. S. P. 



19 (1889) 24-. 

 Equation in S, applications of properties of 



quantics to. Brisse, C. N. A. Mth. 1 (1882) 



193-. 



2040 



Equivalence of forms. Jordan, C. C. E. 88 



(1879) 906- ; 90 (1880) 1422- ; Par. EC. Pol. 



J. 29 ( = eah. 48) (1880) 111-. 

 Factorisable forms, theory. Rados, G. Mth. 



Termt. Ets. 4 (1886) 198-. 

 Forms, calculus. Sylvester, J. J. Camb. and 



Dubl. Mth. J. 7 (1852) 52-, 179- ; 8 (1853) 



62-, 256-; 9 (1854)85-. 



of higher grade. Kronecker, L. Berl. Ak. 

 Sb. (1883) 957-. 



, theorem. Voss, A. Munch. Ak. Sb. 18 



(1889) 15-. 

 , theorems. Cazzaniga, T. G. Mt. 38 (1900) 



321-. 

 Functions, 2nd order. Cayley, A. Crelle J. 



38 (1849) 105-. 

 , similar, of several groups of functions or 



elements. Reiss, M. Quetelet Cor. Mth. 



5 (1829) 201-. 

 Fundamental law, algebraic. Jacobi, C. G. J. 



Crelle J. 53 (1857) 275-. 



, , remarks on Jacobi' s paper. Bor- 

 chardt, C. W. Crelle J. 53 (1857) 281-. 



Geometric significance of algebraic forms in 

 theory of cubic curves. Gundelftnger, S. 

 Mth. A. 3 (1875) 136-. 



Ground-forms and syzygants. (Extracts from 

 :.) Hammond, J. ( 

 (1883) 59, 84-, 150. 



J. H. Un. Cir. 



letters to Sylvester.) Hammond, J. (xn) 

 . [2] ' 



theory. Gravelaar, N. L. W. A. 



N. Arch. Wisk. 3 (*1877) 193-. 

 Higher algebra, note on a theorem. Dawson, 



H. G. Mess. Mth. 17 (1888) 69-. 

 Homogeneity, principle, note. Serret, P. N. 



A. Mth. 14 (1855) 312-. 



Homogeneous isobaric functions, some pro- 

 perties. Elliott, E. B. [1892] L. Mth. S. 



P. 24 (1893) 21-. 

 Homology of sets. Cayley, A. QJ. Mth. 1 



(1857) 178. 

 Hyperdeterminant calculus, exercises. Salmon, 



G. Camb. and Dubl. Mth. J. 9 (1854) 



19-. 



identity. Cayley, A. Mess. Mth. 21 (1892) 

 131-. 



Hyperdeterminants. Cayley, A. [1846-51] 

 Crelle J. 30 (1846) 1-; 34 (1847) 148- ; 

 42 (1852) 368-. 



and canonical forms, discovery. Sylvester, 

 J. J. Ph. Mg. 2 (1851) 391-. 



, conditional , scholium on theorem . Sylvester, 



J. J. Am. J. Mth. 1 (1878) 370-. 

 Independent concomitants of simultaneous 



forms, number of. Sylvester, J. J. C. E. 



84 (1877) 1359-, 1427-. 

 Inertia of quadratic form. Hermite, C. Crelle 



J. 53 (1857) 271-. 

 . Borchardt, C. W. Crelle J. 53 



(1857) 281-. 

 . Buchwald, E. (xn) Ts. Mth. 



2 (1872) 20-. 

 forms, demonstration of law. Presle, 



de. Par. S. Mth. Bll. 15 (1887) 179-. 

 , law. Frobenius, G. Berl. Ak. 



Sb. (1894) 241-, 407-. 

 Invariant, definition. Elliott, E. B. Mess. 



Mth. 16 (1887) 5-. 



143 



