( 698 ) 



we get (5) reduced to the form: 



n 



^/•-"(•+9* • 



' q '-e 



If q = 0, so that the formulae (10) hold good, we then find for 

 the desired frequencies in the two easterly quadrants 



Rol/p sin ?. 



l C-t* 



H \e dt (15) 



yn ) 



From this formula it is evident in what way and in what degree 

 the asymmetry of the distribution is dependent of R , a and p. 



10. The application of the given criteria has been made for 

 Falmouth and the four seasons: 



Winter: December, January, February, number 8384, 

 p = 0.00258, 9 = 0.00004 



R = 5.22, a = 222°8' 



Spring: March, April, May, number 8949, 

 p = 0.00298, 7 = 0.00028 



72 = 2.21, « = 250°25' 



Summer; June, July, August, number 9229, 

 p — 0.00485, 9 = 0.00029 



7^ = 5.60, « = 251°22' 



Autumn : September, October, November, number 9254, 

 p — 0.00313, 9 = 0.00004 



# = 3.80, « = 239°16' 



For each series the number of observations is reduced to 10.000 

 and everywhere we have put q = 0, the calculated values are 

 accordingly accurate as far as the fourth decimal. 



In Table V we have compared the observed frequencies of wind- 

 velocities independent of direction with those calculated according 

 to formula (12), from which it is evident that the differences have a 

 clearly systematic course. Just as is the case with all series of errors 

 the number of the observed small velocities is larger than would agree 

 with the normal distribution. The differences together amount in summer 

 to about 10%, in winter to 15%. 



