About 515,000 results
|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
|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
|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 ...
|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) ...
|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 y-eliminant of the system, which ...
|ELIMINATION Faulty elimination is the cause of most diseases. Auto-Intoxication, |
the Uric Acid, Gouty and Rheumatic conditions are but other names for faulty
elimination. Sal-Eliminant (D U SAL1 is a true eliminant; particularly effective in ...
|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 ...
|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
|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