OCEAN TEMPEEATVEES 377 



each month and depth the observed mean annual temperature for 

 that depth. Then subtract the expression 



-C 



from each of these values using a provisional value of w t . Then fit 



Me aiV cos (at -f- b^ e') 

 the equivalent of the expression 



e*>* ] Aj_ sin (at -f 6^)+ B 1 cos (at -f b^y) 1 



(p. 374) to these remainders, thus determining M, e, a x and & x . 

 The last part of equation (117) is neglected at first and its value 



estimated later. Assuming w^ to be 31 r- the expression 



- C ^ (sin at} e^y becomes .38 (sin -^ \ e- 004 " . 



The following formulae corresponding to the special case when 

 a = a x = are useful in determining a 1? 6 1} Wj. and /u, 2 , and follow 



W 



from equations (89, 91. 94 and 95) remembering that \== \ 



V? 

 .741 .524 .524 



V" 



(121) 

 .2619 .524 



^T ; rt = 2^ri 



(123) 



n 



a x can readily be determined from the rate at which the annual 

 range varies with the depth. A was determined from the mean annual 

 temperature at different depths. These values substituted in equation 

 (122) give /* 2 6 1 from which /** and b t can be found by substituting 

 in equations (123) and (122), and finally the product A^ 2 gives the 

 velocity w r * 



* If X and 6, are given, the following equations derived from equations 90 

 and 95 can be used for computing the remaining quantities: 



\o, 





