608] EXTRACT FROM A REPORT ON MATHEMATICAL TABLES. 425 
E. 11. Transcendental constants, e, tt, 7, &c., and their powers and functions. 
F. Arithraological. 
12. Divisors and prime numbers. Prime roots. The Canon arithmeticus, &c. 
13. The Pellian equation. 
14. Partitions. 
15. Quadratic forms a 2 + 6 2 , &c., and partition of numbers into squares, cubes, 
and biquadrates. 
16. Binary, ternary, &c. quadratic, and higher forms. 
17. Complex theories. 
G. Transcendental functions. 
18. Elliptic. 
19. Gamma. 
20. Sine-integral, cosine-integral, and exponential-integral. 
21. Bessel’s and allied functions. 
22. Planetary coefficients for given —,. 
23. Logarithmic transcendental. 
24. Miscellaneous. 
Several of these classes need some little explanation. Thus D 9 and 10 are 
intended to include the same class of constants, the only difference being that in 9 
accurate values are given, while in 10 they are only approximate; thus, for example, 
the accurate Bernoulli’s numbers as vulgar fractions, and the decimal values of the 
same to (say) ten places are placed in different classes, as the former are of theoretical 
interest, while the latter are only of use in calculation. It is not necessary to enter 
into further detail with respect to the classification, as in point of fact it is only very 
partially followed in the Report.