J = cost function N = number of impulses NLT = number of low-thrust-independent thrusters p = primer-vector magnitude p = primer vector pm = primer-vector absolute maximum r = relative position vector rj = space collocation of the jth impulse tf = final time tint = intermediate time tj = time instant of the jth impulse application tm = midcourse time corresponding to the primer absolute maximum...

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

conclusions the results of this study demonstrated that the p450 cyp141 gene was successfully cloned into a pet26b plasmid vector as an expression vector. in this paper, for the first time in iran, this gene was cloned for more purposes, including the expression and purification of the recombinant cytochrome p450 cyp141 protein. results the cloning of p450 cyp141 gene was confirmed by the enzym...

and so M(t)c = c1 x(t) + · · ·+ cn x(t) is the vector solution that equals M(0)c = c1 x(0) + · · ·+ cn x(0) when t = 0. p. 16 Theorem 2.1.1(c): If c = (c1, . . . , ck) is a constant vector and M(t) is an n × k matrix solution, then M(t)c is a (vector) solution. p. 16 L. 23: is called the Wronskian of the system of vector solutions given by the columns of M(t). p. 21 L. 19 & 21: λ − (a+ d)λ+ (ad...

First-generation adenovirus vectors will have limited application in gene therapy for chronic diseases because of destructive host immune responses. Important immune effectors include CD8+ T cells, which mediate target cell destruction and ablate transgene expression, and B cells, which produce neutralizing antibodies that block effective readministration of vector. Previous studies indicated t...

A scaling vector = (1 ; ; r) T is a compactly supported and vector-valued distribution vector that satisses a matrix reenement equation (x) = P P k (2x ? k); where (P k) is a nite matrix sequence. We call P (z) = 1 2 P P k z k the symbol of. A symbol P (z) is said two-scale similar to a polynomial matrix Q(z) if there is an invertible polynomial matrix T (z) that satisses P (z) = T (z 2)Q(z)T ?...

For an irreducible stochastic matrix T , we consider a certain condition number κ(T ), which measures the sensitivity of the stationary distribution vector to perturbations in T , and study the extent to which the column sum vector for T provides information on κ(T ). Specifically, if c is the column sum vector for some stochastic matrix of order n, we define the set S(c) = {A|A is an n × n sto...