We use the terminology polyhedron for a closed polyhedral surface which is permitted to touch itself but not self-intersect (and so a doubly covered polygon is a polyhedron). A flat folding of a polyhedron is a folding by creases into a multilayered planar shape ([7], [8]). A. Cauchy [4] in 1813 proved that any convex polyhedron is rigid: precisely, if two convex polyhedra P, P ′ are combinator...

The function of leadership is to create a vision for the future, establish strategic priorities, and develop an environment of trust within and between organizations. Great leadership is a process; leadership involves motivational influence, leadership occurs in groups, and involves a shared vision (Northouse, 2010). Instructional designers are ideal leadership candidates for institutions of hi...

Available online 15 October 2011 Through a qualitative review of the leadership literature, we derive two fundamental principles for codifying the last century of leadership theory and research: the locus and mechanism of leadership. Our systematic review and categorization of past theories suggests that further development of the follower, collective and context loci, and the affect mechanism ...

subject to (tf , x(tf )) ∈ S = [t0,∞)× S1 where S1 is a k dimensional manifold in Rn S1 = {x ∈ R : h1(x) = h2(x) = · · · = hn−k(x) = 0} where hi are C1 functions from Rn to R subject to ẋ = f(x, u), x(t0) = x0 for u ∈ C[t0, T ] and u(t) ∈ U ⊂ Rm with f and L being C1 functions. Let u∗ : [t0, tf ] → R be an optimal control with state trajectory x∗ : [t0, tf ] → Rn and a constant. Then there exis...

Let M and M ′ be two smooth hypersurfaces in C. A smooth mapping h : M → M ′ is a CR mapping if its components are annihilated by the induced CauchyRiemann operator on M . Let p0 ∈ M and suppose that near p0, h is the restriction of a holomorphic mapping H defined on one side of M near p0 and smooth up to M . We shall say that h satisfies the Hopf lemma property at p0 if the component of H norm...

The extracellular domain of the myelin P0 protein is believed to engage in adhesive interactions and thus hold the myelin membrane compact. We have previously shown that P0 can behave as a homophilic adhesion molecule through interactions of its extracellular domains (Filbin, M. T., F. S. Walsh, B. D. Trapp, J. A. Pizzey, and G. I. Tennekoon. 1990. Nature (Lond.) 344:871-872). To determine if t...