1620 Permutations, Combinations, Partitions, Distributions, etc. 1620 



Combinations, continued. 



with repetition. Soufflet, . Les Mondes 17 

 (1868) 110- ; 24 (1871) 337-. 



. Motta Pegado, L.'P. da. Lisb. J. Sc. 



Mth. 8 (1880) 1-. 



. Gelin, . Mathesis 6 (1886) 175-. 



in sets having odd and even numbers of in- 

 versions. Metzler, W. H. Am, J. Mth. 22 

 (1900) 55-. 



simple. Andre, D. N. A. Mth. 10 (1871) 

 221-. 



special class. Bouniakowsky, V. [1842] St 

 Pet. Ac. Sc. Mm. 5 (1844) 297-i 



kind. Buniakovskij, V. J. [1871] St 

 Pet. Ac. Sc. Mm. (Es.) 20 (*1872) (Suppl.) 

 No. 2, 71 pp. 



theorem. Whitworth, W. A. [1878] Mess. 



Mth. 8 (1879) 82-. 

 . Christie, E. W. D. L. Mth. S. P. 20 



(1889) 119-. 



of H. F. Baker. Gegenbauer, L. Wien Ak. 

 Sb. 102 (1893) (Ab. 2 a) 951-. 



theorems. Hessel, J. F. C. Grunert Arch. 7 



(1846) 295-. 

 . Kirkman, T. P. (n Adds.) Ph. Mg. 4 



(1852) 209- ; (m) Camb. and Dubl. Mth. J. 



8 (1853) 38-. 



. Andre, D. N. A. Mth. 12 (1873) 84-. 

 , new. Oettinger, L. Grunert Arch. 15 



(1850) 241- ; Crelle J. 53 (1857) 322-. 

 theory. Baur, C. W. Schlomilch Z. 2 (1857) 



267-. 



. Bie, L. H. N. Ts. Mth. 6 (A) (1895) 81-. 

 , and application to theory of numbers. 



Stern, M. A. Crelle J. 21 (1840) 91-, 177-. 

 and variations, number and sums. Wasmund, 



C. Grunert Arch. 21 (1853) 228-. 



Combinatory aggregation, analysis. Sylvester, 

 J. J. Ph. Mg. 24 (1844) 285-. 



analysis. Jacobi, C. G. J. Crelle J. 22 

 (1841) 372-. 



, foundations of new theory. MacMalion, 



(Mai.) P. A. Phil. Trans. (A) 194 (1900 



361-. 

 , game of mousetrap. Cayley, A. QJ. 



Mth. 15 (1878) 8-. 

 , . Steen, A. QJ. Mth. 15 



(1878) 230-. 

 , generalisation of elementary. Traversa, 



N. G. Mt. 35 (1897) 174-. 



) inversion of fundamental idea of 

 Hindenburg's. Roth, F. Arch. Mth. Ps. 

 70 (1884) 427-; 2 (1885) 82-. 



, Mairan's problem. Cournot, A. A. 

 Ferussac Bll. Sc. Mth. 11 (1829) 93-. 



, new method in. MacMahon, (Maj.) 

 P. A. Camb. Ph. S. T. 16 (1898) 262-. 



, problem. Spottiswoode, W. Ph. Mg. 3 



(1852) 349-. 

 , _. Atl dre, D. Par. S. Mth. Bll. 5 



(1877) 150-. 

 , . Ocagne, M. d\ N. A. Mth. 19 



(1880) 44-. 

 , , solution. Eamus, C. Crelle J. 11 



(1834) 353-. 



Combinatory analysis, summation formulae of 

 Steiner, proof. Gudermann, C. [1829] 

 Crelle J. 5 (1830) 402-. 



, theorems. Scherk, H. F. Crelle J. 11 



(1834) 226- ; 20 (1840) 360-. 



formula, applications. Gerbaldi, F. G 

 Mt. 18 (1880) 308-. 



numbers, graphic representation. Laisant, 

 C. A. As. Fr. C. E. (1893) (Pt. 2) 298-. 



problem. Vachette, A. N. A. Mth. 7 

 (1848) 421-. 



. Clausen, T. Grunert Arch. 21 (1853) 



93-. 

 . Cantor, M. Schlomilch Z. 2 (1857) 



103-. 

 , Steiner. Eeiss, M. [1856] Crelle J. 56 



(1859) 326-. 



, . Brunei, G. Bordeaux S. Sc. PV. 



(1896-97) 37-. 



problems. Thibault, . N. A. Mth. 4 

 (1845) 627-. 



, class. Hertzsprung, S. Ts. Mth. 4 



(1886) 154- ; Fschr. Mth. (1887) 198. 



, four. Schroder, E. Z. Mth. Ps. 15 



(1870) 361-. 



products, formulae and coefficients for cal- 

 culation. Wasmund, C. Grunert Arch. 34 



(1860) 440-. 



symbol of Euler's, use in analysis. Ter- 

 quem, 0. Liouv. J. Mth. 4 (1839) 177-. 



systems, order and class. Prouhet, E. 

 Liouv. J. Mth. 1 (1856) 321-. 



theorem. Stern, M. A. Crelle J. Mth. 95 

 (1883) 102-. 



of Stern, proof. Terquem, O. Liouv. J. 



Mth. 3 (1838) 556-. 

 Compositions of numbers, theory. MacMahon, 



P. A. [1892] Phil. Trans. (A) 184 (1894) 



835. 



Connected elements, notation for and distribu- 

 tion. Polignac, C. de. As. Fr. C. E. (1884) 



(Pt. 2) 37-. 



Contact and isolation, a problem in permuta- 

 tions. Fortey, H. L. Mth. S. P. 15 (*1883- 



84) 98-. 

 Cycle, problem of completing a. Waelsch, E. 



Wien Ak. Sb. 90 (1885) (Ab. 2) 160-. 

 Derangements. Eodrigues, O. Liouv. J. Mth. 



4 (1839) 236-. 



. Henry, C. N. A. Mth. 20 (1881) 5-. 

 . Musso, G. Ev. Mt. 4 (1894) 109-. 

 Dirichlet's function [coefficient of \/& in 



(x + -Jb) n ], Daublebsky von Sterneck, E. 



Mh. Mth. Ps. 7 (1896) 342-. 

 Distribution of points on a line. Comstock, 



M. L. Des Moines Anal. 1 (1874) 156-. 

 Diversities, number of. Lipschitz, . C. E. 



102 (1886) 602-. 

 Double of odd number, partition into two odd 



numbers. Maria, P. C. G. Mt. 4 (1866) 



1-, 65-, 193-. 

 Dyads formed with 2 elements. Brunei, G. 



Bordeaux S. Sc. PV. (1897-98) 104-. 

 even number of elements. Brunei, G. 



Bordeaux S. Sc. PV. (1894-95) 32-. 

 n elements, aggregate. Brunei, G. 



Bordeaux S. Sc. PV. (1895-96) 6-. 



83 



