1600 Algebra. General 



Algebraic quantities, principles of an arith- 

 metical theory of. Kronecker, L. [1881] 

 Crelle J. Mth. 92 (1882) 1-. 



Algorithm [a be ... l]<"\ Ocagne, M. d'. N. A. 

 Mth. 5 (1886) 257-. 



of arithmetical means of products of k 

 numbers, taken r at a time. Stieltjes, T. J. 

 (jun.). Crelle J. Mth. 89 (1880) 343-. 



, elementary, theory. Simdes Margiochi, F. 

 Lisb. Ac. Sc. Mm. (Cor.) 3 (pte. 2) (1814) 

 27-. 



for geometric mean of n quantities. Stiel- 

 tjes, T. J. (jun.) N. Arch. Wisk. 9 (*1882) 

 198-. 



Algorithms of algebra. Se'guin, (aine). Moigno 

 An. Cosmos (1861) 379-. 



and calculi. Schroeder, E. Arch. Mth. Ps. 

 5 (1887) 225-, vii-. 



Approximations, algebraic. Hermite, C. Crelle 



J. 76 (1873) 342-. 

 , calculation (in inserting geometric means). 



Duterme, . N. A. Mth. 4 (1845) 124-. 

 Arithmetical progressions, new theorem. Jof- 



froy, J. N. A. Mth. 8 (1889) 85-. 

 Decomposition of fractions, problem. Jacobi, 



C. G. J. Crelle J. 5 (1830) 344-. 

 Development in ascending powers of x of 



l/Za r x r . Gambioli,D. G. Mt. 30 (1892) 35-. 



of numerical quantities analogous to that by 

 continued fractions. Cohen, E. N. A. Mth. 

 10 (1891) 508-. 



(l + ri*x)". Cayley, A. Mess. Mth. 22 



(1893) 186-. 

 Developments of algebraic products. Laisant, 



C. A. As. Fr. C. K. (1881) 84-. 

 Equalities in two or three degrees. Frolov, M. 



Par. S. Mth. Bll. 17 (1889) 69-; 20 (1892) 



69-. 

 Exponents of any order, theory. Terquem, 0. 



N. A. Mth. 6 (1847) 106-. 

 , fractional. Almqvist, P. W. Ts. Mt. Fys. 



1 (1868) 264-. 

 , laws. Clauten, T. Crelle J. 7 (1831) 



234-. 



Fraction - , expression as sum of aliquot parts 



of unity. Collignon, E. [1881] Par. S. 



Phlm. Bll. 6 (1882) 88-. 

 Harmonic relations. Hultman, F. W. Ts. 



Mt. Fys. 4 (1871) 153-. 

 Harmony, algebra of. Loquin, A. Bordeaux 



Ac. Act. 43 (1883) (Suppl.) 1-. 

 Identities. Hunyady, E. von. Z. Mth. Ps. 12 



(1867) 89-. ' 

 Identity, algebraic. MacMahon, (Capt.) P. A. 



Mess. Mth. 13 (1884) 142-. 



connected with theory of parallels. Mal'tsev, 

 M. M. (xn) [1883] Kazan S. Nt. (Ps.- 

 Mth.) P. 2 (1884) 8. 



Index law. Hultman, F. W. Ts. Mt. Fys. 3 



(1870) 250-. 

 Indices, theory. Sexe, S. A. N. Mg. Ntvd. 



13 (1864) 155-. 

 , . Faure, H. N. A. Mth. 15 (1876) 251-, 



292-, 339-, 451-, 481-, 529-; 16 (1877) 5-, 



160-, 193-, 249-, 289-, 467-, 508-, 541- ; 17 



(1878) 69-. 



Algebra. General 1600 



Infinity and sign of equality. De Morgan, A. 



Camb. Ph. S. T. 11 (Pt. I) (1866) 145-. 

 Limits of the expression (x? -yP)/(x q -y' 1 ). 



Knight, S. E. Mess. Mth. 22 (1893) 



165-. 

 . Segar, H. W. Mess. Mth. 23 



(1894) 47-. 

 Maximum of product of positive numbers whose 



sum is given. Darboux, G. Bll. Sc. Mth. 



11 (1887) 149-. 

 value of xy when x + y is given. Steiner, J. 



Crelle J. 40 (1850) 208. 

 . Oettinger, L. Crelle 



J. 57 (1860) 90-. 

 Mean, arithmetic, error due to its substitution 



for geometric mean. Dostor, G. Arch. Mth. 



Ps. 63 (1879) 220. 

 , and geometric. Liouville, J. Liouv. 



J. Mth. 4 (1839) 493-. 

 , , comparison. Hurwitz, A. Crelle 



J. Mth. 108 (1891) 266-. 



, , difference, and theorem of in- 

 tegral calculus. Unferdinger, F. Wien Sb. 



56 (1867) (Ab. 2) 272-. 

 , , greater than geometric: mean of m 



numbers (Cauchy). Transon,A. N.A.Mth. 



11 (1872) 257-. 



, , , proof. Thacker, A. Camb. 



and Dubl. Mth. J. 6 (1851) 81-. 

 , , , . Tait, P. G. [1868] Edinb. 



B. S. P. 6 (1869) 309. 

 , arithmetico -geometric, of 4 elements. 



Borchardt, C. W. Berl. Ak. Mb. (1876) 



611-. 

 Means, arithmetic. Lobatto, E. (vm) Quetelet 



Cor. Mth. 4 (1828) 169-, 233-. 

 , , geometric and harmonic. Brandli, H. 



Bern Mt. (1849) 178-. 

 , , , comparison. Schlomilch, 0. 



Schlomilch Z. 3 (1858) 187-. 

 , , of powers of positive quantities. Bien- 



ayme, J. Par. S. Phlm. PV. (1840) 67-. 

 , calculation. Laroque, F. Toul. Mm. Ac. 



6 (1862) 295-. 

 , a succession of. Neuberg, J. Liege S. Sc. 



Mm. 11 (1885) No. 5, 12 pp. 

 Modular systems, applications to elementary 



algebra. Netto, E. Crelle J. Mth. 104 



(1889) 321-. 



Monomial coefficients and coefficients of fac- 

 torials. Zeipel, E. V. von. Lund Acta Un. 



6 (1869) (Mth.) No. 3, 57 pp. 

 Multiplication, algebraic. Englefield, H. C. 



Tilloch Ph. Mg. 45 (1815) 15-. 

 , . Dillon, J. Tilloch Ph. Mg. 45 (1815) 



137-. 

 by fractions, interpretation, and principle of 



permanence of equivalent forms. Taylor, C. 



Mess. Mth. 4 (1868) 159-. 

 (x + a). Andre, D. Par. EC. Norm. A. 



12 (1883) (Suppl.) 3-. 



(x-a). Andre, D. Par. EC. Norm. A. 



12 (1883) (Suppl.) 33-. 



Negative quantities and rule of signs. Guillon, 

 E. L. N. A. Mth. 8 (1849) 28-. 



in solution of equation problems. Green- 

 field, W. [1784] Edinb. B. S. T. 1 (1788) 

 131-. 



76 



