2040 



General Theory of Quantics 



2040 



Invariant formation by operator Q. Note on 

 Macmahon's theory. Sylvester, J. J. Mess. 

 Mth. 13 (1884) 163-. 



functions associated with a transformable 

 system. Deruyts, J. Brux. Ac. Bll. 32 

 (1896) 82-. 



, law of formation. Deruyts, J. Brux. 



Mm. Cour. 4, 51 (1889) No. 10, 16 pp. 



, mutual differentiation. Deruyts, J. 

 Brux. Ac. Bll. 16 (1888) 207-. 



, number. Deruyts, J. Brux. Ac. Bll. 



21 (1891) 437-. 

 , property. Deruyts, J. Brux. Ac. Bll. 



26 (1893) 258-. 

 , reduction. Deruyts, J. Brux. Ac. Bll. 



20 (1890) 265-; 24 (1892) 286-. 

 , in the system of geometric variables. 



Deruyts, J. Brux. Ac. Bll. 24 (1892) 



558-. 



operations, a law of reciprocity. Capelli, A. 

 Nap. Bd. 27 (1888) 189-. 



. which permit permutation. Capelli, A. 



Nap. Ed. 26 (1887) 236-; 27 (1888) 

 45-. 



, permutative character. Capelli, A. 

 Nap. Rd. 25 (1886) 135-. 



properties of system of a linear form and an 

 alternate bilinear form. Morera, G. [1883] 

 Tor. Ac. Sc. At. 18 (1882) 383-. 



sum of products of coefficients of pair of 

 quantics. Eankine, W. J. M. QJ. Mth. 

 1 (1857) 357-. 



systems, finite character. Maurer, L. 

 Munch. Ak. Sb. 29 (1900) 147-. 



, general. Maurer, L. Miinch. Ak. Sb. 



18 (1889) 103-. 



theory. Meyer, F. D. Mth. Vr. Jbr. 1 

 (1892) 79-. 



and chemistry, relation of formulae. 

 Gordan, P., & Alexejeff, W. [1900] Erlang. 

 Ps. Md. S. Sb. 32 (1901) 107-. 



Invariantive differential operators. Capelli, A. 



Nap. Ed. 26 (1887) 110-. 

 Invariants. Brioschi, F. Tortolini A. 5 (1854) 



207-, 409-. 

 . Bdlavitit, G. Yen. At. (1858-59) 65-, 



82-; Tortolini A. 2 (1859) 137-. 

 . Blerzy, . N. A. Mth. 17 (1858) 301- ; 



18 (1859) 420-. 

 . Sylvester, J. J. C. E. 85 (1877) 992-, 



1035-, 1091-. 



of algebraic forms, conception of. Study, E. 

 Leip. Mth. Ps. B. 39 (1887) 137-. 



functions of forms. Wolffing, E. 

 Mth. A. 43 (1893) 26-. 



, arithmetical. Poincare, H. As. Fr. C. E. 

 (1881) 109-. 



calculus, test operators, properties; and 

 application to development of any power of 

 a logarithm. Sylvester, J. J. Ph. Mg. 32 

 (1866) 461-. 



of a certain orthogonal transformation with 

 reference to theory of strain and stress. 

 Sharp, W. J. C. L. Mth. S. P. 13 (1881-82) 

 216-. 



common to two quadratic forms in 2, 3, 

 or 4 variables. Picquet, H. As. Fr. C. E. 

 (1874) 1205-. 



Invariants, complete systems of. Hilbert, D. 



D. Mth. Vr. Jbr. 1 (1892) 61- ; Mth. A. 42 



(1893) 313-. 

 , covariants, and contravariants. Foglini, G. 



Em. N. Line. At. 31 (1878) 249-. 

 , , , theory. Janni, G. G. Mt. 2, 



(1864) 135-, 161-, 211-. 



and covariants as criteria for roots of an 

 equation. Schramm, H. A. Mt. 1 (1867-68) 

 259-; 3(1869-70)41-. 



, definition. Mansion, P. Brux. S. 



Sc. A. 12 (1888) (Pt. 1) 47-. 

 of function transformed by a quadratic 



substitution. Spottiswoode, W. Em. E. Ac. 



Line. T. 7 (1883) 218-. 

 system of three conies. Burnside* 



W. S. [1869] QJ. Mth. 10 (1870) 239-. 

 , generation by integration. Hurwitz, A. 



Gott. Nr. (1897) 71-. 



of homogeneous forms. Mainardi, G, [1857} 

 Mil. G. I. Lomb. 9 (1856) 208-. 



, identical equation in theory. Cayley, A* 

 QJ. Mth. 12 (1873) 115-. 



of integral polynomials, certain. Laisant* 

 C. A. Palermo Cir. Mt. Ed. 8 (1894) 

 249-. 



, principles deduced from theory of linear 

 formations. Gram, J. P. (vn) [1873] Mth. 

 A. 7 (1874) 230-. 



of quadratic forms. Kleiber, J. Z. Mth. 

 Ps. 37 (1892) 79-. 



and higher geometry. Study, E* 



Leip. Mth. Ps. B. 49 (1897) 443-. 



quantics. Deruyts, J. Brux. Mm. Cour. 



4, 52 (1890-93) No. 2, 28 pp. 



in special mathematics. Campoux, P. de. 

 N. A. Mth. 8 (1869) 395-; 9 (1870) 113-. 



, theorem, fundamental. Ovidio, E. d'. G. 



Mt. 15 (1877) 187-. 

 , , , proof. Christoffel, E. B. [1867] 



Crelle J. 68 (1868) 246-. 

 , , , . Aronhold, . Crelle J. 69 



(1868) 185-. 

 , of Hilbert. Gordan, P. Mth. A. 42 



(1893) 132-. 

 , , proof. Dahl, C. Ts. Mth. 4 U880V 



154-. 

 , theory. Spottiswoode, W. E. S. P. 7 



(1854-55) 204-. 

 , . Combescure, E. Liouv. J. Mth. 20 



(1855) 337-. 

 , . Faa de Bruno, F. Tortolini A. 6 



(1855) 328-. 

 , . Aronhold, S. H. Crelle J. 62 (1863} 



281-. 

 , . Cayley, A. [1870] Mth. A. 3 (1871V 



268-. 

 , . Christoffel, E. B. [1881] Mth. A. 19 



(1882) 280-. 

 _ _. Veltmann, . Z. Mth. Ps. 34 (1889) 



321-. 

 , . Maurer, L. Crelle J. Mth. 107 (1891V 



89-. 

 , . Hilbert, D. Gott. Nr. (1891) 232-; 



(1892) 6-, 439-. 



_, _. Weber, H. Gott. Nr. (1893) 109-. 

 , . Hurwitz, A. Mth. A. 45 (1894) 



381-. 



144 



