We define matrix A = [A | HG - AR] with invertible
tag [mathematical expression not reproducible], a parity-check matrix [mathematical expression not reproducible], G -trapdoor matrix [mathematical expression not reproducible], positive definite [mathematical expression not reproducible] and syndrome [mathematical expression not reproducible].
From Lemmas 3 and 4 it follows that there is an invertible
matrix T such that the matrices A = [T.
Site I is present downstream of FimE gene while site II is present within invertible
In Section 3 we define and derive for each subgroup V, BV, [epsilon]V and the subset R explicit expressions for the braided autoequivalence as well as the invertible
If A is a g-Drazin invertible
operator in a Banach space X, then X = R([A.
With the assumption that the covariance matrix O is invertible
, the vector of the expected excess rate of return R-r in CAPM can be rewritten as
Since s + t is invertible
, by observations (a) and (b), we conclude that a + t is a permutation.
t](K), then there exists some invertible
matrix B [member of] [M.
w](q) be the number of n x n invertible
matrices in [F.
N](p) is invertible
(which, as we will observe, automatically implies T(p) = 1).
where: T, N are arbitrary invertible
matrixes; [lambda], [kappa], [xi]--arbitrary matrix, the corresponding complementary bases to rows dimensional state space n.
n x n] satisfying that B is invertible
and AB = BA.