254 Prof. P. J. Daniell on the 



Thus 



sj! T £H>-(-SL- 



= Xb 2r 2 C2r 



4r+l 





J. 8 16 36 /15_ 

 + 13 * tt* 9 ' 25V231 



Combining (i.) and (iv.) and using the calculated values 

 of the coefficients Dirichlet's condition becomes that 



^-(l+ ~\ +B 2 [-182024 + -226354] 4 2BC[-1641804'194017] 



+ C 2 [-171548 4 -192580] 42BD['139724'16168] 



4 2CD [-15863 4 -17442] 4 D 2 [-15483 4 -16675] 



is minimum, 



while Z ( L+ j) + g B+ ^ C+ ^ I) isfixed - 



§ 3. The problem then is to find the minimum value of 



£"( L + l) + B2 (' 408379 ) + 2BC(-358197) 4 C 2 (-364128) 



4 2BD (-30140) 4 2OD(33305) 4 D 2 (-32159), 

 when 



z(L4 -^ 4 gB4 ^04 ^D = fixed in value. . (v.) 



By the method of indeterminate multipliers, 



B(-408379) 4 C(-358197) 4 D (-30140) = g\, 



B(-358197) 4 C(-364128) 4 D(\33305) = ~\ 



B(-30140) 4C(-33305) + D(-32159) = JrX, 



(l + |) = (l + ^, 



or \ = - I. 



