This paper’s aim is to discuss the concept of width of a proof put forward by Timothy Gowers. It explains what this concept means and attempts to show how it relates to other concepts discussed in the existing literature on proof and proving. It also explores how the concept of width of a proof might be used productively in the mathematics curriculum and how it might fit with the various perspe...

Working in the F-basis provided by the factorizing F-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.

In this paper we further develop the theory of matrices over the extended tropical semiring. Introducing a notion of tropical linear dependence allows for a natural definition of matrix rank in a sense that coincides with the notions of tropical regularity and invertibility.

MENDEL ROSENBLUM is Assistant Professor at Stanford University; email: [email protected]. JOHN CHAPIN is a Ph.D. student at Stanford University; email: [email protected]. DAN TEODOSIU is a Ph.D. student at Stanford University; email: [email protected]. SCOTT DEVINE is a Ph.D. student at Stanford University; email: [email protected]. TIRTHANKAR LAHIRI is a Ph.D. student at Sta...

Wireless local area network (WLAN) is a radical technology, enabling new ways to provide mobile access. A number of established and new companies have entered the mobile market with new business models. Yet, it is not clear how these new business models affect the mobile industry and which of them will really succeed. We introduced the IDEA framework to guide the design and evaluation systems o...

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...