An investigation of a mathematical model to characterize the nonlinear nature of a lithographic film system

An attempt was made to obtain a set of spatial transfer functions which would allow the prediction of output effective exposure distributions for a nonlinear lithographic film system. Slit exposures were used as one-dimensional system inputs. It was proposed that the use of slits would allow the calculation of a general system transfer function to be simplified. The mathematical model chosen to describe this nonlinear transfer was shown to be invalid due to the nonlinear relationship of small area system gain (small area output effective exposure divided by the input exposure) as a function on input exposure. The model,, based on a condensation of the multidimensional MacLaurin series, required this relationship to be linear. Data obtained from the small area effective exposure distributions allowed the calculation of a small area semi-specular density vs. relative log exposure curve. There existed a dramatic reduction in contrast for the small area curve as compared with the large area characteristics of the lithographic film system

The Appearance of Four Basement Membrane Zone Antigens in Developing Human Fetal Skin

In order to study the ontogeny of various structural and antigenic components of the basement membrane zone of human skin, we have examined skin specimens from 20 aborted fetuses ranging in gestational ages from 6 to 25 weeks, utilizing light microscopy, transmission electron microscopy, and indirect immunofluorescence with antibodies to bullous pemphigoid antigen, laminin, type IV collagen, and to the antigen defined by KF-1 monoclonal antibody. Both laminin and type IV collagen were detectable as early as 6 weeks of gestational age. In contrast, bullous pemphigoid antigen and the antigen defined by KF- 1 antibody were not detectable before 10 weeks and 16 weeks, respectively. The appearance of bullous pemphigoid antigen correlated with stratification of the epidermis and the formation of hemidesmosomes and anchoring fibrils at the basement membrane zone. KF- 1 antigen is first expressed when the epidermis is further stratified, hemidesmosomes and anchoring fibrils are present in greater numbers and with increased frequency at the dermal-epidermal junction, and hair follicles have begun to bud downward from the basal layer of the epidermis. Our findings suggest an orderly sequence to the appearance of these basement membrane zone components within human skin

Occupancy and Abundance of American Badgers and Piute Ground Squirrels in the Sagebrush-Steppe: Implications of the Fire-Cheatgrass Cycle

Sagebrush-steppe is experiencing vast changes due to biological invasions and changing fire characteristics. Understanding how these changes influence functionally important animals is essential for ecosystem management. American Badgers (Taxidea taxus) are an apex predator and ecosystem engineer within sagebrush ecosystems. Piute Ground Squirrels (Urocitellus mollis) are also an ecosystem engineer as well as an essential prey source for many predators.  Our objective was to evaluate the relative importance of large-scale changes, abiotic processes, and biotic processes on badgers and ground squirrels. We samples 163 1-ha plots across a gradient of burn histories within a 1,962 km2 area in Southern Idaho, USA. At each plot, we characterized ground squirrel and badger occupancy, ground squirrel relative abundance, and many environmental variables. We used information-theoretic approaches to evaluate competing hypotheses concerning occupancy of ground squirrels and badgers, and ground squirrel relative abundance. Results suggest that ground squirrel occupancy was positively associated with abiotic characteristics (e.g., higher precipitation and finer textured soil). Badger occupancy was positively associated with ground squirrel occupancy and agriculture. Relative abundance of ground squirrels was positively associated with finer textured soils, but negatively associated with cheatgrass (Bromus tectorum), fire frequency, agriculture and shrubs. Managers can focus restoration efforts on areas with high cheatgrass and shrub cover, if ground squirrels are a management objective. These results support previous hypotheses suggesting abiotic processes are important for herbivore occupancy. However, we provide support that a combination of abiotic, biotic and disturbance processes are important for mesocarnivore occupancy and herbivore abundance

The structure of preserved information in quantum processes

We introduce a general operational characterization of information-preserving structures (IPS) -- encompassing noiseless subsystems, decoherence-free subspaces, pointer bases, and error-correcting codes -- by demonstrating that they are isometric to fixed points of unital quantum processes. Using this, we show that every IPS is a matrix algebra. We further establish a structure theorem for the fixed states and observables of an arbitrary process, which unifies the Schrodinger and Heisenberg pictures, places restrictions on physically allowed kinds of information, and provides an efficient algorithm for finding all noiseless and unitarily noiseless subsystems of the process

Quantum Error Correction of Observables

A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical information and does not require an encoded state to be entirely in one of the corresponding subspaces or subsystems. Here, we provide detailed proofs for the results of [1], derive a number of new results, and we elucidate key points with expanded discussions. We also present several examples and indicate how the theory can be extended to operator spaces and general positive operator-valued measures.Comment: 22 pages, 1 figure, preprint versio

The electoral effectiveness of constituency campaigning in the 2010 British General Election: The ‘triumph’ of Labour?

This is the post-print version of the final paper published in Electoral Studies. The published article is available from the link below. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. Copyright @ 2011 Elsevier B.V.This article establishes a model of likely campaign effectiveness, before examining the intensity of constituency campaigning at the 2010 general election in Britain and its subsequent impact on electoral outcomes, using both aggregate and individual level data. It shows that constituency campaigning yielded benefits in varying degrees for all three main parties and that Labour’s constituency campaign efforts were effective despite the electoral context, and ultimately affected the overall outcome of the election. These findings have significant implications for our understanding of the circumstances under which campaigns are likely to be more or less effective, and provide further evidence that a carefully managed campaign stands the most chance of delivering tangible electoral payoffs

Brief Amici Curiae of Intellectual Property Professors in Support of Petitioner, No. 18-600, Texas Advanced Optoelectronic Solutions, Inc. V. Renesas Electronics America, Inc.

To comply with the obligations of the Uruguay Round Agreements, particularly the Agreement on the Trade Related Aspects of Intellectual Property (TRIPS), Congress amended 35 U.S.C. § 271(a) to make it an act of infringement to “offer to sell” a patented invention within the United States. See Uruguay Round Agreements Act, Pub. L. No. 103-465, §§ 531-533, 108 Stat. 4809 (1994). The Federal Circuit has interpreted this provision in a manner contrary to the presumption against the extraterritorial reach of United States laws. The Federal Circuit has held that location of the ultimate sale contemplated in the offer controls the locus of the act of infringement, not the location of the offer. Transocean Offshore Deepwater Drilling, Inc. v. Maersk Contractors USA, Inc., 617 F.3d 1296, 1309 (Fed. Cir. 2010) (holding that “the location of the contemplated sale controls whether there is an offer to sell within the United States.”). The Federal Circuit further clarified that an offer made in the United States to sell the invention abroad is not infringing. Halo Elecs., Inc. v. Pulse Elecs., Inc., 831 F.3d 1369, 1380 (Fed. Cir. 2016). As a result, the court has created an odd dichotomy: activity entirely outside of the United States can trigger liability for infringement of a United States patent, whereas activity within the United States does not. Such an approach is inconsistent with the presumption against extraterritoriality, particularly the two-step framework of RJR Nabisco, Inc. v. European Community, 136 S. Ct. 2090, 2101 (2016). This issue is of considerable importance, and this case is an excellent vehicle for assessing the appropriate territorial scope of § 271(a)