30 C. V. L. Charlier 



Invertiug these formulae we get 



= II 



Ma = "i + 



For the lacohiana we obtain the value: 



"i. "2 



1, + 



so that 



Js^" zJsg" = zls^ JSg , 

 The formula (43*) now takes the form 



(46) (m) = At nd'' Js^ f Ai^f.^' f^' co", 



where Az^ is placed before the integral. As to w" it has the value 

 (46*) ,cü" = l/«77+^;7+7^^ = co2. 



24. Combining the formulae (46) and (46*) we now get 



(47) (in) — (out) = Ail At As^ nd' f As^ {/,"/." to, - w) . 

 For the »collisionf unction » □ ( f^) we get the value 



□ ifi) = '^(i'^ jjj dii^ dv<2 ^"'2 U\" f'i' ^2 — fif-i 



where 



f\t\ X, V/, z\ 



«2 , l\ — 



ni. 



and 



m. 



«2, 



-\- M?2 



^2, 



»"1 + »'2 ' 



A y i'l ~r I "a» "1 ■ I 



\ -|- - ^ '■ -(- ?»2 



The differentialequation for is now 



^2' "^1 + 



or more briefly 

 (48*) 



dt 



=--V{J\) + □(./!) 



For /g we obtain the similar equation 



(49) 



4/2 _ 



