The theory of determinants in the historical order of development, by Sir Thomas Muir.

352 HISTORY OF THE THEORY OF DETERMINANTS

It is the term, L, independent of X in the almost persymmetric
determinant which Cayley * on Sylvester's suggestion calls the
lam~daic, namely,
a b c d e-12X
b c d e+3X If
c d e-2X If g
d e+3X f h
e-12X If g h i
and which, if I, J, K be the other invariants of the octavic, is
equal to,
2- 292X + 8X J2+ 2KX + L.
The expansions of I, J, K are those numbered 39, 43, 44 in
Cayley's collection.
SCHEIBNER, W. (1856, May).
[U~eber die Aufldsung eines gewissen Gleichungsystems.
Berichte.... Ges. d. Wiss. (Leipzig): math.-ph ys. U., viii.
pp. 605-76.1
This is still another attempt to deal with Sylvester's set of
equations of 1851 (October); but any interest which the process
of solution possesses is unconnected with determinants.
BRUNO, F. FAA DI (1856, August).
[Sopra i resti di Sturm.. Annali di Sci. mat. e fts., vii. pp.
313-317.]
Beginning with two unrelated functions, P, Q, of the n th and
(q, - l)th degrees, Bruno gives an expression for any one of the
Sturmian series of functions thence derived, the coefficients ofx
* CAYL r,YA. Me'moire sur la forme canionique des fonctions binaires. Crelle'8
Journ., liv. pp. 48-58, 292; or Collected Math. Papers, iv. pp. 43-52. If
" lamdaico" be not used as a noun, " lamdaio canonizant" would be better than
" larndaic. determinant."