789 
If m is prime, we have M= m— 1 and the determinant repre- 
senting 4 (w) by adding to the first column all the other ones is 
immediately reduced to the polynomial 1 + a#—+ «+ ...+ a” 
Ih the general case the coefficients of /,, («) are not of so simple 
a character as perhaps might be presumed. Only two of them, the 
coefficients A, and Ay, take the simple value — u (mm) and there- 
fore | may end with the proposition 
IX. If m is the product of unequal odd prime factors, then 
. 8 0-5 
De Oe 
ee e+ -ey 
eat fae Mn) 0 
abs e's ene 
u APE ON M43 En dj! 
(- a ( m )( m ie Am 5 (=) 
Thus it is shewn that the symbol g (m) is expressible by LEGENDRE 
symbols only. 
Pathology. — “On passive unmunisation against tetanus.” By Prof. 
Dr. C. H. H. Spronck and WILHELMINA HAMBURGER, Arts. 
(Communicated in the meeting of November 25, 1916). 
As known, the injection of a heterologous serum not seldom 
causes symptoms of disease, and experience teaches us, that the 
injection of a large quantity of serum oftener causes the so-called 
serum disease than the injection of a smaller quantity. Hence the 
endeavours of the serum institutes to produce an immune serum 
with high titre, so that the injection of a small quantity of serum 
