We revisit a formula that connects the minimal ranks of triangular parts of a matrix and its inverse and relate the result to structured rank matrices. We also address the generic minimal rank problem.

The process of adopting new innovations has been studied for over 30 years, and one of the most popular adoption models is described by Rogers in his book, Diffusion of Innovations (Sherry & Gibson, 2002). Much research from a broad variety of disciplines has used the model as a framework. Dooley (1999) and Stuart (2000) mentioned several of these disciplines as political science, public health...

ment, producing two coding ends and two signal ends. Howard Hughes Medical Institute Subsequent joiningof thecoding ends, forming a coding Baylor College of Medicine joint, assembles a rearranged TCR or Ig gene segment; Houston, Texas 77030 the signal ends also join, forming a signal joint. †Department of Molecular Biology and Genetics Several features of VDJ recombination are reminisHoward Hug...

Screened for HIV in a State-Funded Counseling, Testing and Referral Program: Missed Opportunities for Risk-Reduction Interventions? Ryan Westergaard, MD, PhD, MPH; Mary Peng, MS; Timothy Hess, PhD; Casey Schumann, MS; Megan Elderbrook, MPH; James Vergeront, MD; Department of Medicine, University of Wisconsin School of Medicine and Public Health, Madison, WI; Wisconsin AIDS/HIV Program, Wisconsi...

Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function, generalized Mittag-Leffler functions, MittagLeffler type functions, and their interesting and useful properties. Applications of G. M. MittagLeffler...

In the Randall-Sundrum scenario we analize the dynamics of a spherically symmetric 3-brane when matter fields propagate in the bulk. For a well defined class of conformal fields of weight -4 we determine a new set of exact 5-dimensional solutions which localize gravity in the vicinity of the brane and are stable under radion field perturbations. Geometries which describe the dynamics of inhomog...

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing F -matrices (or the so-called F -basis) play an important role in the construction. In the F -basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely ...

We exhibit counterexamples to a Conjecture of Nesin, since we build a connected solvable group with finite center and of finite Morley rank in which no normal nilpotent subgroup has a nilpotent complement. The main result says that each centerless connected solvable group G of finite Morley has a normal nilpotent subgroup U and an abelian subgroup T such that G = U o T , if and only if, for any...

A way to compose a matrix P and a finite dimensional representation ρ of C via a map h into a new matrix P ∗h ρ is defined. Several results about the spectrum, eigenvectors, kernel and rank of P ∗h ρ are proved.