1630 Finite Summation 



Unferdinger, F. Arch. Mth. Ps. 48 (1868) 



Amigues, E. N. A. Mth. 10 (1871) 117-. 

 Glaisher, J. W. L. Mess. Mth. 4 (1875) 168-. 

 Eocquigny, F. [G.] de. Les Mondes 51 (1880) 



153-. 

 geometrical summation. Glaisher, J. W. L. 



(vn) [1873] Mess. Mth. 3 (1874) 5. 

 problem of Boncompagni, solution. Matthies- 



sen, L. Z. Mth. Ps. 13 (1868) 348-. 



Bretschneider, C. A. Grunert Arch. 1 (1841) 



415-. 



Borchardt, C. W. Berl. Mb. (1857) 301-. 

 Brioschi, F. [1857] Tortolini A. 1 (1858) 43-. 

 Dostor, G. Arch. Mth. Ps. 64 (1879) 353-. 



Dostor, G. Arch. Mth. Ps. 64 (1879) 356-. 



Puiseux, V. Liouv. J. Mth. 11 (1846)477-. 

 Gilbert, P. N. A. Mth. 8 (1869) 434-. 

 formulae. Lionnet, E. N. A. Mth. 1 (1842) 



175-. 

 . Rispal, A. N. A. Mth. 6 (1847) 273-. 



"2" (a + n - 1) fc-i, "i" [a + n - 1]<* M*-i. 

 n _Pepin (lepere). N^A. Mth. 15 (1856) 27-. 

 2 (x + ih)n, *~2 (-l) i (* + tft)'. Bjorling, 



JE. G. Stockh!lk. Hndl. 2 (1857-58) 18 pp. 



2 f-j , Jacobian formula involving. Stern, 



M. A. Crelle J. Mth. 84 (1878) 216-. 

 r=2+l 



S r 2 or r 3 . Dostor, G. Arch. Mth. Ps. 64 



(1879) 361-. 

 F(r). Dostor, G. 

 r= 459-, 513-. 

 2 (2r 2 ) and 2 (2r- I 2 "*). Glaisher, J. W. L. 



Mess. Mth. 20 (1891) 172-. 

 2 (r 2 ). Glaisher, J. W. L. Mess. Mth. 20 



(1891) 120- r 28 (1899) 29-. 



N. A. Mth. 18 (1879) 



1630 Probabilities (including 

 combination of observations). 

 Theory of errors. 



Accuracy of recollection, measurement. Cat- 

 tell, J. McK. Science 2 (1895) 761-. 



Approximate formulae relating to large num- 

 bers. La Place, P. S. (Marquis) de. Par. 

 Mm. de PI. (1809) 353-, 559-. 



Probabilities 1630 



Approximations, numerical. Guyou, . N. 

 A. Mth. 8 (1889) 165-. 



Arithmetical events, study. Cesaro, E. Brux. 

 Mm. Cour. 4. 47 (1886) No. 9, 14 pp. 



Association ratios (of phenomena in observa- 

 tions). Doolittle, M. H. Smiths. Misc. 

 Col. 33 (1888) Art. 4, 83-, 94-. (Wash. Ph. 

 S. Bll. 10 (1888).) 



Averages, theory. Local probability. Doo- 

 little, M. H. Wash. Ph. S. Bll. 11 (1892) 

 596-. 



Bernoulli's inverse theorem. Meyer, A. Brux. 

 Ac. Bll. 23 (1856) 148-. 



theorem. Mansion, . Brux. S. Sc. A. 

 16 (1892) (Pt. 1) 85-. 



. Goedseels, . Brux. S. Sc. A. 19 



(1895) (Pt. 1) 4-. 

 . Mansion, . Brux. S. Sc. A. 22 



(1898) (Pt. 1) 3-. 



. Eayleigh, (Lord). Ph. Mg. 47 (1899) 



. ' Eggenberger, J. Z. Mth. Ps. 45 (1900) 



43-. 

 and approximate probability. Nekrasov, 



P. A. [1898] Eec. Mth. (Moscou) 20 (1899) 



485-, 535-; Fschr. Mth. (1899) 214, 215. 

 binomial coefficients. Nasimov, P. S. 



Fschr. Mth. (1888) 211. 

 , gamma-functions and Laplace's integral. 



Eggenberger, J. Bern. Mt. (1893) 110-, 236. 

 , inversion. Monro, C. J. (x) L. Mth. 



S. P. 5 (1873-74) 74-, 145-. 

 , . Nekrasov, P. A. Mosc. S. Sc. Bll. 



65 (No. 1) (1890) 45-; Fschr. Mth. (1890) 



235. 

 , , simple proof. Gosiewski, W. Krk. 



Ak. (Mt.-Prz.) Ez. 13 (1886) 153- ; Fschr. 



Mth. (1885) 176-. 

 , proof by Euler's summational formula. 



Lagrange, C. Brux. Ac. Bll. 31 (1896) 



439-. 

 , repeated application. Andrade, J. C. R. 



116 (1893) 1281-, 1482. 

 Best reading of an instrument for measuring a 



given quantity. Baum, F. G. Ps. Rv. 8 



(1899) 181-. 



Betting on races. Du Chatenet, M. N. A. 



Mth. 5 (1886) 327-, 380-, 408-. 

 Bravais's formulae for regression, etc., with 



skew correlation. Yule, G. U. R. S. P. 60 



(1897) 477-. 

 Broken diamond, problem. Cesaro, E. G. 



Mt. 24 (1886) 124-. 

 Buffon's problem of the needle. Barbier, E. 



Liouv. J. 5 (1860) 273-. 

 . Sylvester, J. J. Acta Mth. 



14 (1890-91) 185-. 

 Causation process, results. Paterson, J. Am. 



As. P. (1856) 29-. 

 Chance. Whitwarth, W. A. [1871] Mess. Mth. 



1 (1872) 163-. 



and choice, problems supplementary to. 

 Whitworth, W. A. Mess. Mth. 4 (1868) 

 152-, 193-. 



, continuity. Davis, E. W. [1897] Nebr. 



Un. Stud. 2 (1894-1902) 131-. 

 , doctrines. Saint, W. Nicholson J. 21 



(1808) 204-. 



92 



