In Tikhonov-Phillips regularization of general form the given ill-posed linear system is replaced by a Least Squares problem including a minimization of the solution vector x, relative to a seminorm ‖Lx‖2 with some regularization matrix L. Based on the finite difference matrix Lk, given by a discretization of the first or second derivative, we introduce the seminorm ‖LkD x̃ x‖2 where the diagona...

Information visualization is an experience in which both the aesthetic representations and interaction are part. Such an experience can be augmented through close consideration of its major components. Interaction is crucial to the experience, yet it has seldom been adequately explored in the field. We claim that direct mediated interaction can augment such an experience. This paper discusses t...

We give examples of closed hyperbolic 3-manifolds with first Betti number 2 and 3 for which no sequence of finite abelian covering spaces increases the first Betti number. For 3-manifolds M with first Betti number 2 we give a characterization in terms of some generalized self-linking numbers of M , for there to exist a family of Zn covering spaces, Mn, in which β1(Mn) increases linearly with n....

Systemic and renal lipids in kidney disease development 1 and progression 2 3 AUTHORS: Patricia Wahl, Gloria Michelle Ducasa, Alessia Fornoni 4 INSTITUTION: Peggy and Harold Katz Family Drug Discovery Center and 5 Division of Nephrology and Hypertension 6 University of Miami Miller School of Medicine 7 8 RUNNING HEAD: Lipids in kidney disease 9 CORRESPONDENCE Alessia Fornoni MD PhD 10 Peggy and...