TABLES 22 AND 23. EXPONENTIAL FUNCTIONS AND LEAST SQUARES. 47 



TABLE 22. Exponential Functions. 

 Value of e* and e~* and their logarithms. 



TABLE 23. Least Squares. 

 Values of P = - 



This table gives the value of P, the probability of an observational error having a value posi- 

 tive or negative equal to or less than x when h is the measure of precision, P = T f-<hx) 



\ir*J O 



d(hx}, For values of the inverse function see the table on Diffusion. 



Taken from a paper by Dr. James Burgess ' on the Definite Integral JL f* er-& dt y with Ex- 



y 7JY/ O 



tended Tables of Values.' Trans. Roy. Soc. of Edinburgh, vol. xxxix, 1900, p. 257. 

 SMITHSONIAN TABLES. 



