1635 Theory of Statistics, etc. Calculus of Differences, etc. 1640 



Symbol d x , origin. Cherriman, J. B. I. Act. 

 J. 21 (*1879) 295-. 



Taxation of temporary versus perpetual an- 

 nuities. Hardy, P, Assur. Mg. 3 (*1853) 

 195-. 



and wealth, relation between. Gobbi, U. 

 Mil. I. Lomb. Kd. 32 (1899) 756-. 



Taxes, principles regulating incidence. Jenkin, 



F. Edinb. B. S. P. 7 (1872) 618. 

 Ten year non-forfeiture policies. Younger, S. 



I. Act. J. 14 (*1869) 476-; 15 (*1870) 



151-. 

 , American. Cherriman, J. B. 



I. Act. J. 16 (*1872) 384-. 

 , . McClintock, E. I. Act. J. 



17 (*1873) 301-. 

 Term assurance, life against life, value. Smith, 



H. A. Assur. Mg. 9 (*1861) 295. 

 for two joint lives. Otter, W. C. Assur. 



Mg. 8 (*1860) 113-. 

 Terms of imprisonment, statistics and curves. 



Gallon, F. Nt. 52 (1895) 174-. 

 Tontine, American, and mutual assessment 



schemes. Manly, H. W. I. Act. J. 26 (1887) 



182-. 

 , perpetual. Navier, C. L. M. H. A. C. 12 



(1819) 103-. 

 Tontines, early history. Hendriks, F. Assur. 



Mg. 10 (*1863) 205-. 

 Two life assurances, extra premiums in respect 



of. Ryan, G. H. I. Act. J. 24 (1884) 305-. 

 Under-average lives, treatment of. Sunderland, 



A. W. I. Act. J. 29 (1892) 419-. 

 Uniform mortality law from birth to old age. 



Gompertz, B. I. Act. J. 16 (1872) 329-. 



seniority, law. Henderson, R. I. Act. J. 

 32 (1896) 293-. 



United States, eighth census. Brown, S. Assur. 



Mg. 13 (* 1867) 226-. 

 , formula for predicting population. Prit- 



chett, H. S. St Louis Ac. T. 5 (1892) 599-. 

 Universal notation , necessity for a. Begault, A . 



I. Act. J. 33 (1898) 1-. 

 Utility, theory. Gobbi, U. Mil. I. Lomb. Bd. 



81 (1898) 237-, 325-, 1300-. 

 Vaccination, longevity in France before and 



after its introduction. Dupin, C. C. B. 27 



(1848) 565-. 



and small pox, statistics. Sprague, T. B. 

 I. Act. J. 20 (*1878) 2 16-. 



Valuation of absolute reversions. Mount- 

 castle, H. I. Act. J. 15 (*1870) 148-. 



, certain methods. Gray, W. T. I. Act. J. 

 20 (*1878) 309-. 



methods, notes. Dovey, W. R. I. Act. J. 



34 (1899) 346-. 



producing definite reserve. Hardy, JR. P. 

 I. Act. J. 1 (1895) 325-. 



reserves, approximate calculation. Chis- 

 holm, J. I. Act. J. 27 (1889) 442-. 



returns, with reference to Life Assurance 

 Companies Act. Todhunter, R. I. Act. J. 



35 (1901) 1-. 



of whole term policies, tables. Hume, A. S., 

 (& Stott, W. I. Act. J. 34 (1899) 396-. 



Value of benefits, on principle of collective 

 assurance. Hardy, R. P. I. Act. J. 30 

 (1893) 79-. 



Value of contingent reversion under certain 



limitations. Hardy, P. Assur. Mg. 2 



(*1852) 91-, 298. 

 options. Stephewon, J. W. Assur. Mg. 



12 (*1866) 302-. 

 . Younger, S. Assur. Mg. 13 (*1867) 



55. 

 . Gray, P. Assur. Mg. 13 (*1867) 



104-. 

 . Younger, S. Assur. Mg. 13 (*1867) 



118. 

 , Stephenson's theory. Makeham, W. M. 



Assur. Mg. 12 (*1866) 363-. 

 , . Smith, H. A. Assur. Mg. 13 



(*1867) 103. 



and prices, mathematical investigations. 

 Fisher, I. Conn. Ac. T. 9 (1892-95) 1-. 



of property and conditions which determine 

 it. Buquoy, G. von. Oken Isis (1824) 28-. 



reversions payable at instant of death. 



Chisholm, D. Assur. Mg. 4 (*1854) 70-. 

 selection as exercised by policy holder. 



Higham, J. A. .Assur. Mg. [1 (*1851)] 179-. 

 Values, elementary, special arrangement. 



Oakes, W. H. Assur. Mg. 12 (*1866) 57-. 

 Vital statistics ; geometric mean. Gallon, F. 



B. S. P. 29 (1879) 365-. 

 of Glasgow, 1869 and 1870. Scott, A. 



Glasg. Ph. S. P. 8 (1873) 78-. 

 Society of Friends. Fryer, A. Manch. 



Ph. S. Mm. 14 (1857) 153-. 

 towns in Scotland. Sykes, W. H. 



B. A. Bp. (1842) 121-. 

 Wealth, social, mathematical theory. Walrus, 



L. [1876] Laus. S. Vd. Bll. 14 (1877) 365-, 



525-. 

 Whole-life assurance business, approximate 



valuation. Woolhouse, W. S. B. I. Act. J. 



27 (1889) 433-. 



assurances, a certain conversion of. 

 M., T. Assur. Mg. 13 (*1867) 246-. 



time assurances on single lives, valuation. 

 Coles, J. Assur. Mg. 7 (*1858) 179-. 



Widows' pensions, statistics. Enestrom, G. 

 Stockh. Ofv. (1894) 479-; Fschr. Mth. 

 (1893-94) 363-. 



and spinsters, marriage rates. Sprague, T. B. 

 I. Act. J. 22 (*181) 352-. 



Yearly into fractional yearly payment, trans- 

 formation. McKenzie, D. J. McG. I. Act. 

 J. 23 (*1882) 162-. 



1640 Calculus of differences ; 

 interpolation. 



Adjunct of a given linear finite difference form. 



Bortolotti, E. Em. B. Ac. Line. Bd. 5 



(1896) (Sem. 1) 349-. 

 Algebra of difference-tables. Everett, J. D. 



QJ. Mth. 31 (1900) 357-. 

 Approximate summation, formulae. Hardy, 



G. F. I. Act. J. 24 (1884) 95-. 

 of series. Korteweg, D. J. N. Arch. 



Wisk. 2 (*1876) 161-. 

 Approximation methods of former times. Giin- 



ther, S. D. Nf. B. (*1877) 95-. 



121 



