Recommended Citation Liu, Yinxiao. "New algorithms for in vivo characterization of human trabecular bone: development, validation, and applications." PhD iii ACKNOWLEDGMENTS After six years, Iowa City is the place where I have spent the longest time ever besides my hometown. It is not just a span of time to pursue a Ph.D. degree, but a lifelong memory and treasure that I will cherish and enjoy....

In this paper we introduce and study an algebraic structure, namely Grouplike. A grouplike is something between semigroup and group and its axioms are generalizations of the four group axioms. Every grouplike is a semigroup containing the minimum ideal that is also a maximal subgroup (but the converse is not valid). The first idea of grouplikes comes from b-parts and $b$-addition of real number...

Let (* ) u,, du + q(x, t) u = 0 in D x [0, T], where D c R3 is a bounded domain with a smooth boundary dD, T> d, d: =diam D, q(x, I) E C( [O, 2’1, L”(D)). Suppose that for every (**) ~I,+~=f(x, l)EC’(dDx [0, T]), the value u*,;,:= h(s, t) is known, where N is the outer normal to dD, u solves (* ) and ( ** ) and satisfies the initial conditions u = U, = 0 at I = 0. Then q(x, I) is uniquely deter...

There are well-known constructions of the exceptional simple Lie algebras of type E8 and F4 which go back to Witt [Wit41], as Z2-graded algebras g = g0̄⊕g1̄ with even part the orthogonal Lie algebras so16 and so9 respectively, and odd part given by their spin representations (see [Ada96]). Brown [Bro82] found a new simple finite dimensional Lie algebra over fields of characteristic 3 which presen...

Abstract. This study tests the relationships between grandiose narcissism and affective, calculative, social-normative motivation to lead (MTL), avoidance lead, vulnerable affective MTL lead. Further, we assess moderating effect of narcissistic organizational identification (NOI). As expected, correlated positively with three dimensions MTL, though relationship disappeared when controlling for ...

As popular cellular telephone commercials suggest, we place considerable value on our ability to remain connected to our friends and neighbors. The same principals ring true in cardiovascular physiology. Connexin (Cx) proteins are located at cardiac gap junctions and form low resistance pathways for the intercellular spread of electrical excitation and small molecules.1 Within each cell, six co...