 About 515,000 results  books.google.com This result can also be established by using the eliminant of N(s) and £>(.v) to be
introduced in Lemma 2.14. In the present proof, use is made of the Division
Theorem for polynomial matrices (Theorem 2.10). Let X(s) € R[s\mxm and Y(s) e
... 

 books.google.com and the eliminant of (B) and (I) is KSl — 9 C : these results are deduced by
employing Mr. Sylvester's canonical form, which is admirably adapted for
expressing composite invariants, such as the eliminants of covariants, in terms of
the ... 

 books.google.com By Captain P. A. MacMahon, R.A. T PRESENT here the theory of the eliminant of
the two binary quantics in a new notation and give some new results. Reference
is made to a paper by Kronecker, ' Uber die symmetrischen Functionen ' in ... 

 books.google.com 
 books.google.com From this set of equations we see that, if p and q have either of the values zero or
one, the eliminant may be formed in exactly the same way as before, namely, by
adding to the $n(n\l) equations obtained from the coefficients of arb* (r+s < n) ... 

 books.google.com From the given system is thus derived an equivalent system consisting of the
given equation of the first degree with reference to both of the unknowns, and, as
the case may be, either the a;eliminant or the yeliminant of the system, which ... 

 books.google.com ELIMINATION Faulty elimination is the cause of most diseases. AutoIntoxication,
the Uric Acid, Gouty and Rheumatic conditions are but other names for faulty
elimination. SalEliminant (D U SAL1 is a true eliminant; particularly effective in ... 

 books.google.com for the eliminant, as already found, will have an extraneous factor If, however, Bx
= B2 = Bs = . . . = Bm = 0, we have (s, t) = 0, if s < to+1, t < to+1, (s, t) = A,Btl(r,rt), if
a < to+1, t > to. Then A, can be divided out from either the .sth row or the sth ... 

 books.google.com But we may begin by considering that the eliminant is a symmetric function of the
differences between the roots of the first and second equations expressed in
terms of their cofficients, and then the number of these differences is equal to the
... 

 books.google.com Respiton, THE SKIN ELIMINANT, Compels the dermal glands to do their natural
duty; hence, indicated in respiratory diseases. Respiton, THE SKIN ELIMINANT,
□ Eliminates poisons by normal skin action; hence, the most valuable remedy in
... 

 