Hopf bifurcation with non-semisimple 1:1 resonance

A generalised Hopf bifurcation, corresponding to non-semisimple double imaginary eigenvalues (case of 1:1 resonance), is analysed using a normal form approach. This bifurcation has linear codimension-3, and a centre subspace of dimension 4. The four-dimensional normal form is reduced to a three-dimensional system, which is normal to the group orbits of a phase-shift symmetry. There may exist 0, 1 or 2 small-amplitude periodic solutions. Invariant 2-tori of quasiperiodic solutions bifurcate from these periodic solutions. The authors locate one-dimensional varieties in the parameter space 1223 on which the system has four different codimension-2 singularities: a Bogdanov-Takens bifurcation a 1322 symmetric cusp, a Hopf/Hopf mode interaction without strong resonance, and a steady-state/Hopf mode interaction with eigenvalues (0, i,-i)

Behaviour of dairy cows on organic and non-organic farms

There is an increasing number of organic dairy farms in the UK. The aim of this study is to compare behaviour of dairy cows on organic and non-organic farms. Twenty organic and 20 non-organic farms throughout the UK were visited over two winters (2004/05 and 2005/06). Organic and non-organic farms were paired for housing type, herd size, milk production traits and location. The number of cows feeding was counted every fifteen minutes for 4.5 h after new feed was available post morning milking. Behaviour at the feed-face was recorded for 60 minutes and aggressive interactions between cows were quantified. Farm type had no effect on numbers of cows feeding. There were more interactions between cows feeding at open feed-faces compared to head-bale barriers. At open feed-faces, there were more interactions on organic farms than non-organic. It is possible that organic cows were hungrier than non-organic cows after the arrival of new feed

Staff development: A practitioner\u27s reaction

Efforts need to be intensified for the new teacher

Good Design is Good Business: An Analysis in Mixed-Use Architecture

Over the past several decades, a buzz-word has surfaced in the related fields of architecture, finance, and their intersection in the commercial real estate industry – “mixeduse.” Although this may seem like a new form of urban design, it can be traced back hundreds of years to the walled cities of medieval Europe. As centuries of urban development, decay, and redevelopment have played out, influential voices have been calling for an abandonment of single-use urban design and a return to a mix of uses. While mixed-use can be defined as simply as a development than contains three or more revenue-generating components on the same site, it is far more nuanced than that. A successful mixed-use development relies on cooperation between architects, developers, government officials, and community stakeholders. Additionally, it requires adherence to particular processes – engagement, scaling, and anticipation – and principles – place, equity, and detail – to be successful, both from an architectural and financial perspective. Reflecting the interdisciplinary nature of this thesis, a section will address the challenges and benefits that come with financing mixed-use developments and some of their unique financial features. These include high barriers to entry for smaller firms, a large required flexibility in project planning and debt structuring, a higher risk and return profile compared to single-use assets, and diversification and operational benefits. As it pertains to the architectural nature of this thesis, field research and observations for analytical discussion will be conducted at four award-winning, mixed-use developments: City Point in Brooklyn, NY, CityCenterDC in Washington, DC, CityCentre in Houston, TX, and Union Station in Denver, CO. These case studies will be analyzed along the processes and principles previously mentioned to determine what makes a successful mixed-use development.Plan II Honors Progra

A Study to Determine the Correlation Between the Elizabeth City State University Football Players SAT Scores to their Cumulative Grade Point Averages as a Predictor of College Success

The following hypothesis was established to guide this study: 1. There is no correlation between the SAT scores earned by student athletes and their accumulated GPA for football players at Elizabeth City State University

Arrangement of Subunits in Microtubules with 14 Profilaments

The structure of 14-protofilament microtubules reassembled from dogfish shark brain tubulin was analyzed by high resolution electron microscopy and optical diffraction. The simultaneous imaging of the protofilaments from near and far sides of these tubules produces a moiré pattern with a period of approximately 96 nm. Optical diffraction patterns show that the 5-nm spots that arise from the protofilaments for the two sides of the tubule are not coincident but lie off the equator by a distance of 1/192 nm-1. These data provide evidence that in reassembled microtubules containing 14 protofilaments, the protofilaments are tilted 1.5 degrees with respect to the long axis of the tubule, giving a left-handed superhelix with a pitch of 2.7 micron. The hypothesis is that the tilt of the protofilaments occurs to accommodate the 14th protofilament. It is determined that when the 14th protofilament is incorporated, the 3-start helix is maintained, but the pitch angle changes from 10.5 degrees to 11.2 degrees, the angle between protofilaments measured from the center of the microtubule changes by 2 degrees, and the dimer lattice is discontinuous. These observations show that the tubulin molecule is sufficiently flexible to accomodate slight distortions at the lateral bonding sites and that the lateral bonding regions of the alpha and beta monomers are sufficiently similar to allow either alpha-alpha and beta-beta subunit pairing or alpha-beta subunit pairing

Distance measures to compare real and ideal quantum processes

With growing success in experimental implementations it is critical to identify a "gold standard" for quantum information processing, a single measure of distance that can be used to compare and contrast different experiments. We enumerate a set of criteria such a distance measure must satisfy to be both experimentally and theoretically meaningful. We then assess a wide range of possible measures against these criteria, before making a recommendation as to the best measures to use in characterizing quantum information processing.Comment: 15 pages; this version in line with published versio