The Zero-Removing Property and Lagrange-Type Interpolation Series

The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.

Distributed models in P-Systems architectures to reduce computation time

Membrane systems are computational equivalent to Turing machines. However, their distributed and massively parallel nature obtains polynomial solutions opposite to traditional non-polynomial ones. At this point, it is very important to develop dedicated hardware and software implementations exploiting those two membrane systems features. Dealing with distributed implementations of P systems, the bottleneck communication problem has arisen. When the number of membranes grows up, the network gets congested. The purpose of distributed architectures is to reach a compromise between the massively parallel character of the system and the needed evolution step time to transit from one configuration of the system to the next one, solving the bottleneck communication problem. The goal of this paper is twofold. Firstly, to survey in a systematic and uniform way the main results regarding the way membranes can be placed on processors in order to get a software/hardware simulation of P-Systems in a distributed environment. Secondly, we improve some results about the membrane dissolution problem, prove that it is connected, and discuss the possibility of simulating this property in the distributed model. All this yields an improvement in the system parallelism implementation since it gets an increment of the parallelism of the external communication among processors. Proposed ideas improve previous architectures to tackle the communication bottleneck problem, such as reduction of the total time of an evolution step, increase of the number of membranes that could run on a processor and reduction of the number of processors.

Membrane Dissolution in Distributed Architectures of P-Systems

The goal of this paper is twofold. Firstly, to survey in a systematic and uniform way the main results regarding the way membranes can be placed on processors in order to get a software/hardware simulation of P-Systems in a distributed environment. Secondly, we improve some results about the membrane dissolution problem, prove that it is connected, and discuss the possibility of simulating this property in the distributed model. All this yields an improvement in the system parallelism implementation since it gets an increment of the parallelism of the external communication among processors. Also, the number of processors grows in such a way that is notorious the increment of the parallelism in the application of the evolution rules and the internal communica-tionsstudy because it gets an increment of the parallelism in the application of the evolution rules and the internal communications. Proposed ideas improve previous architectures to tackle the communication bottleneck problem, such as reduction of the total time of an evolution step, increase of the number of membranes that could run on a processor and reduction of the number of processors

Crossover isomer bias is the primary sequence-dependent property of immobilized Holliday junctions

Recombination of genes is essential to the evolution of genetic diversity, the segregation of chromosomes during cell division, and certain DNA repair processes. The Holliday junction, a four-arm, four-strand branched DNA crossover structure, is formed as a transient intermediate during genetic recombination and repair processes in the cell. The recognition and subsequent resolution of Holliday junctions into parental or recombined products appear to be critically dependent on their three-dimensional structure. Complementary NMR and time-resolved fluorescence resonance energy transfer experiments on immobilized four-arm DNA junctions reported here indicate that the Holliday junction cannot be viewed as a static structure but rather as an equilibrium mixture of two conformational isomers. Furthermore, the distribution between the two possible crossover isomers was found to depend on the sequence in a manner that was not anticipated on the basis of previous low-resolution experiments.

Elevated free nitrotyrosine levels, but not protein-bound nitrotyrosine or hydroxyl radicals, throughout amyotrophic lateral sclerosis (ALS)-like disease implicate tyrosine nitration as an aberrant in vivo property of one familial ALS-linked superoxide dismutase 1 mutant

Mutations in superoxide dismutase 1 (SOD1; EC 1.15.1.1) are responsible for a proportion of familial amyotrophic lateral sclerosis (ALS) through acquisition of an as-yet-unidentified toxic property or properties. Two proposed possibilities are that toxicity may arise from imperfectly folded mutant SOD1 catalyzing the nitration of tyrosines [Beckman, J. S., Carson, M., Smith, C. D. & Koppenol, W. H. (1993) Nature (London) 364, 584] through use of peroxynitrite or from peroxidation arising from elevated production of hydroxyl radicals through use of hydrogen peroxide as a substrate [Wiedau-Pazos, M., Goto, J. J., Rabizadeh, S., Gralla, E. D., Roe, J. A., Valentine, J. S. & Bredesen, D. E. (1996) Science 271, 515–518]. To test these possibilities, levels of nitrotyrosine and markers for hydroxyl radical formation were measured in two lines of transgenic mice that develop progressive motor neuron disease from expressing human familial ALS-linked SOD1 mutation G37R. Relative to normal mice or mice expressing high levels of wild-type human SOD1, 3-nitrotyrosine levels were elevated by 2- to 3-fold in spinal cords coincident with the earliest pathological abnormalities and remained elevated in spinal cord throughout progression of disease. However, no increases in protein-bound nitrotyrosine were found during any stage of SOD1-mutant-mediated disease in mice or at end stage of sporadic or SOD1-mediated familial human ALS. When salicylate trapping of hydroxyl radicals and measurement of levels of malondialdehyde were used, there was no evidence throughout disease progression in mice for enhanced production of hydroxyl radicals or lipid peroxidation, respectively. The presence of elevated nitrotyrosine levels beginning at the earliest stages of cellular pathology and continuing throughout progression of disease demonstrates that tyrosine nitration is one in vivo aberrant property of this ALS-linked SOD1 mutant.

[ Property act], 1787

Copy of act pertaining to taking of property for failure to pay taxes. Signed: Alexander Martin and John Sitgreaves.

Indenture acknowledging sale of property, Boston, 1753

Document acknowledges the sale of the late Samuel Clark's house and property to Alexander Hill. Samuel Clark's executor, James Clark, was required by law to sell the property to the highest bidder in order to pay the debts of the deceased.

Real Property, Dunedin, New Zealand, 1896 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: The Survey Districts of North Harbour & Blueskin, Lower Harbour West, North East Valley, Upper Harbour West, Tomahawk, Sawyers Bay, Andersons Bay, Portobello Bay, Otago Peninsula & Upper Harbour East, drawn by G.P. Wilson, April 1896. It was published by N.Z. Lands and Survey in 1896. Covers the Dunedin region, New Zealand. Scale [ca. 1:63,360]. The image inside the map neatline is georeferenced to the surface of the earth and fit to the Universal Transverse Mercator (UTM Zone 59S, meters, WGS 1984) projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as property lot and block numbers, boundaries of survey districts and blocks, boroughs, townships and estates, drainage, selected roads, railroads and stations, selected buildings and industry locations, cemeteries, shoreline features, docks and wharves, and more. Relief shown by spot heights.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

The Mahomedan law of succession to the property of intestates: in Arabick, engraved on copper plates from an ancient manuscript

with a verbal translation and explanatory notes by William Jones.

Map of Ypsilant Township. T. P. No. 3 south. Range No. 7 east [plat]

Drawn & compiled by Frank Krause, C. E.., Ann Arbor. Publication information: Chicago, Ill. : Everts & Stewart, 1874.

Map of Freedom Township. T.P. 3 south. Range 4 east [plat]

Drawn and compiled by F. Krause, C. E., Ann Arbor. Publication information: Chicago, Ill. : Everts & Stewart, 1874.

Map of Saline Township. T.P. No. 4 S. Range No. 5 E [plat]

Publication information: Chicago, Ill. : Everts & Stewart, 1874.

Desert tortoise habitat conservation : hearing before the Subcommittee on Forests and Public Land Management of the Committee on Energy and Natural Resources, United States Senate, One Hundred Seventh Congress, first session, on H.R. 880, to provide for the acquisition of property in Washington County, Utah, for implementation of a desert tortoise habitat conservation plan, May 10, 2001.

Shipping list no.: 2001-0272-P.

Governors Island, Vicksburg Military Park, Niagara Falls Heritage Area, and Craters of the Moon Preserve bills : hearing before the Subcommittee on National Parks of the Committee on Energy and Natural Resources, United States Senate, One Hundred Seventh Congress, first session on S. 689, to convey certain federal properties on Governors Island, New York; S. 1175, to modify the boundary of Vicksburg National Military Park to include the property known as Pemberton's Headquarters, and for other purposes; S. 1227, to authorize the Secretary of the Interior to conduct a study on the suitability and feasibility of establishing the Niagara Falls National Heritage Area in the state of New York, and for other purposes; H.R. 601, to redesignate certain lands within the Craters of the Moon National Monument, and for other purposes, July 31, 2001.

Shipping list no.: 2002-0096-P.