0800 Universal Algebra 



Algebraical fundamental operations, generalisa- 

 tions. Simony, 0. Wien Ak. Sb. 91 (1885) 



(Ab. 2) 223-. 

 Associative algebra, applicable to hyperspace. 



Joly, C. J. Ir. Ac. P. 5 (1898-1900) 73-. 

 Calculus of notations. Couto, M. V. do, e 



Simoes Margiochi, F. Lisb. Mm. Ac. Sc. 



3 (pte 2) (1814) 48-. 

 . Travassos, F. de P. Lisb. Mm. Ac. 



Sc. 3 (pte 2) (1814) 65-. 

 Double algebra. Cayley, A. L. Mth. S. P. 15 



(* 1883-84) 185-. 

 Factorials, calculus. Logan, H. F. C. [1873] 



E. S. P. 22 (1873-74) 434-. 

 Generalisations of algebra. Spottisicoode, W. 



[1872] L. Mth. S. P. 4 (1871-73) 147-. 

 Imaginaries in geometry, and tetrads, von 



Staudt's theory, and its extension. Liiroth, J. 



[1874-76] Mth. A. 8 (1875) 145- ; 11 (1877) 



84-. 

 Laws of Motion, three, in world of universal 



algebra. Sylvester, J. J. (xn) [1883] J. H. 



Un. Cir. [3] (1884) 33-, 57. 

 Linear algebra, uses and transformations. 



Peirce, B. Am. Ac. P. 10 (1875) 395-. 



associative algebra. Peirce, B. [1870] Am. 

 J. Mth. 4 (1881) 97-. 



, note on Peirce's. Cayley, A, J. H. 



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

 Multiple algebra. Gibbs, J. W. Am. As. P. 



(1886) 37-. 



. Cayley, A. QJ. Mth. 22 (1887) 270-. 



, application of logical analysis. Peirce, 



C. S. Am. Ac. P. 10 (1875) 392-. 



algebras, class. Peirce, C. S. (xn) [1882] 

 J. H. Un. Cir. [2] (1883) 3-. 



Negative numbers. Burali-Forti, C. Ev. Mt. 

 3 (1893) 138-. 



quantities. Flauti, V. [1855] Nap. At. Ac. 

 (1855-57) 3-. 



, addition, Bertrand. Terquem, 0. (vi 



Adds.) N. A. Mth. 15 (1856) 172-. 

 , conception. Purgotti, S. Palomba Eac. 



3 (1847) 171-, 180-. 



and rule of signs. Guillon, E. L. N. A. 



Mth. 8 (1849) 28-. 

 , theory. Cach, . Gergonne A. Mth. 4 



(1813-14) 1-. 

 , . Gergonne, J. D. Gergonne A. Mth. 



4 (1813-14) 6-. 



, . Transon, A. (Prof.). N. A. Mth. 3 



(1844) 318-, 321-. 

 . US e. Prouhet, E. N. A. Mth. 6 (1867) 



337-. 

 Physics, algebra of, principles. Macfarlane, A. 



Am. As. P. (1891) 65-. 

 Postulates of algebra. Padoa, [1900] N. Y. 



Am. Mth. S. Bll. 7 (1901) 70. 

 Proportion, theory. Lehmann, J. W. H. 



Grunert Arch. 8 (1846) 113-. 

 Signs of operation, distributed, in systems of 



algebra. Graves, C. Ir. Ac. P. 3 (1847) 325-. 

 Sylvester's third law of motion, proof. Buch- 



heim, A. Ph. Mg. 18 (1884) 459-. 

 Symbolical algebra. Gregory, D. F. [1838] 



Edinb. E. S. T. 14 (1840) 208-. 

 . Vanecek,M.N. Prag Sb. (1888) (Mth.- 



Nt.) 137-. 



Calculus of Operations 0810 



Symbols, algebraic, and tessarines. Cockle, Jas. 



Ph. Mg. 34 (1849) 406- . 

 Tessarines, amplitude. Cockle, Jas. Ph. Mg. 



36 (1850) 290-. 

 Tetrads (Wiirfe) theory. Liiroth, J. Gott. Nr. 



(1873) 767-. 



( ) von Staudt's theory. Sturm, R. Mth. 



A. 9 (1876) 333-. 



( ), . Schroder, E. Mth. A. 10 



(1876) 289-. 



Universal algebra. Brunei, . Bordeaux S. 

 Sc. Mm. 2 (1891) ix-. 



, principles. Sylvester, J. J. Am. J. 

 Mth. 6 (1884) 270-. 



0810 Calculus of Operations. 



Algebra of multilinear partial differential opera- 

 tors. MacMahon, P. A. L. Mth. S. P. 19 

 (1889) 112-. 



Algebraical operation. Cayley, A. QJ. Mth. 

 13 (1875) 369-. 



(repeated) transformation, principle. Scha- 

 pira, H. Heidi. Nt. Md. Vh. 4 (1892) 25-. 



Calculus of chemical operations. Brodie, (Sir) 



B. C. Phil. Trans. 156 (1866) 781-. 

 . Williamson, A. W. C. N. 16 



(1867) 3-. 

 . Brodie, (Sir) B. C. [1876] Phil. 



Trans. 167 (1877) 35-. 

 , Brodie's. Naquet, A. Ph. Mg. 7 



(1879) 418-. 

 functions. Babbage, C. [1815-20] Phil. 



Trans. (1815) 389-; (1816) 179^; (1817) 197- ; 



QJ. Sc. 2 (1817) 371- ; Camb. Ph. S. T. 1 



(1822) 63-. 

 . Tanner, H. W. L. Mess. Mth. 7 



(1878) 156- . 

 , Babbage's paradox. Graves, J. T. 



Ph. Mg. 9 (1836) 334-, 443-. 

 of one independent variable. Liventsov, 



A. I. (xn) [1875] Eec. Mth. (Moscou) 8 

 (1876) (Pt. 1) 80-. 



linear partial differential operations. 

 MacMahon, P. A. QJ. Mth. 24 (1890) 246-. 



, the most comprehensive. Schroder, E. 



B. A. Ep. (1883) 411-. 



of operation symbols, elementary exposition. 

 Cazzaniga, P. G. Mt. 20 (1882) 48-, 194-. 



operations. Boole, G. Phil. Trans. 



(1844) 225-. 



. Graves, C. Ph. Mg. 34 (1849) 60-. 



. Paterson, J. Silliman J. 11 (1851) 



327-. 

 , application to algebraic expansions. 



Hargreave, C. J. Ph. Mg. 6 (1853) 351-. 

 , to transformation of trigonometric 



series. Donkin, W. F. QJ. Mth. 3 (1860) 



, development. Roberts, S. QJ. Mth. 



4 (1861) 44-. 



extended form of index symbol. 

 Spottiswoode, W. Phil. Trans. (1860) 13-. 



, formula*. Stokes, G. G. [1876] 



Edinb. B. S. P. 9 (1878) 101-. 

 , , general. Spottiswoode, W. Crelle 



J. 59 (1861) 367-. 



51 D2 



