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Given f: Rn+ ~ R n, the complementarity problem is to find a solution to x > O, f(x) >_ 0, and (x, f(x)) = 0. Under the condition that fis continuously differentiable, we prove that for a generic set of such an f, the problem has a discrete solution set. Also, under a set of generic non-degeneracy conditions and a condition that implies existence, we prove(More)
  • Mark Gersovitz, Jeffrey S Hammer, Edward F Buffie, Daniel Leonard, Steve Salant, Carl Simon
  • 2001
for comments. The findings, intepretations, and conclusions expressed in this paper are entirely those of the author(s) and not necessarily represent the views of the World Bank, its Executive Directors, or the countries they represent.Working papers describe research in progress by the author(s) and are published to elicit comments and to further debate(More)
Gerard Debreu symbolizes the use of a new mathematical apparatus, an apparatus comprehended by most economists only abstractly. Nevertheless, his work has given us an improved intuitive understanding of the underlying economic relevance. His clarity and analytical rigor, as well as the distinction drawn by him between an economic theory and its(More)
  • Arthur Burks, John Holland, Douglas Hofstader, Computer Sci-Ence, Bob Axelrod, Michael Cohen +2 others
  • 2015
Three decades ago, a diverse group of scholars with a shared intellectual interest in topics ranging from cooperation and adaptation to networks and systems began meeting informally to share ideas under the broad rubric of complexity studies. Those meetings included luminaries such These faculty members have since gone on to great prominence winning(More)
'The command-and-control approach, when extended uncritically to treatment of natural resources, often results in unforeseen and undesirable consequences. A frequent, perhaps universal result of command and control as applied to natural resource management is reduction of the range of natural variation of systems—their structure, function, or both—in an(More)
The goal of this survey paper is to overview cellular measurements using optical microscopy imaging followed by automated image segmentation. The cellular measurements of primary interest are taken from mammalian cells and their components. They are denoted as two- or three-dimensional (2D or 3D) image objects of biological interest. In our applications,(More)
Current methods for screening cell-material interactions typically utilize a two-dimensional (2D) culture format where cells are cultured on flat surfaces. However, there is a need for combinatorial and high-throughput screening methods to systematically screen cell-biomaterial interactions in three-dimensional (3D) tissue scaffolds for tissue engineering.(More)
A new FTIR technique was developed for characterizing thin polymer films used in combinatorial materials science. Fourier transform infrared microspectroscopy mapping technique was used to determine the composition of polymer blend gradients. Composition gradients were made from poly(L-lactic acid) (PLLA) and poly(D,L-lactic acid) (PDLLA) in the form of(More)
DiameterJ is an open source image analysis plugin for ImageJ. DiameterJ produces ten files for every image that it analyzes. These files include the images that were analyzed, the data to create histograms of fiber radius, pore size, fiber orientation, and summary statistics, as well as images to check the output of DiameterJ. DiameterJ was validated with(More)
Protein adsorption is known to direct biological response to biomaterials and is important in determining cellular response in tissue scaffolds. In this study we investigated the effect of the duration of protein adsorption to 3D polymer scaffolds on cell attachment and proliferation. 3D macro-porous polymer scaffolds were pre-aged in serum-containing(More)