An analysis of decoupling procedures in generating thermal Green's functions of O([lambda]â ´) by the Zubarev equation of motion method

The Zubarev equation of motion method has been applied to an anharmonic crystal of O( ,,4). All possible decoupling schemes have been interpreted in order to determine finite temperature expressions for the one phonon Green's function (and self energy) to 0()\4) for a crystal in which every atom is on a site of inversion symmetry. In order to provide a check of these results, the Helmholtz free energy expressions derived from the self energy expressions, have been shown to agree in the high temperature limit with the results obtained from the diagrammatic method. Expressions for the correlation functions that are related to the mean square displacement have been derived to 0(1\4) in the high temperature limit.

Canadian Niagara Power Company fonds

Power at the Falls: The first recorded harnessing of Niagara Falls power was in 1759 by Daniel Joncairs. On the American side of the Falls he dug a small ditch and drew water to turn a wheel which powered a sawmill. In 1805 brothers Augustus and Peter Porter expanded on Joncairs idea. They bought the American Falls from New York State at public auction. Using Joncairs old site they built a gristmill and tannery which stayed in business for twenty years. The next attempt at using the Falls came in 1860 when construction of the hydraulic canal began by the Niagara Falls Hydraulic Power and Manufacturing Co. The canal was complete in 1861 and brought water from the Niagara river, above the falls, to the mills below. By 1881 the Niagara Falls Hydraulic Power and Manufacturing Co. had a small generating station which provided some electricity to the village of Niagara Falls and the Mills. This lasted only four years and then the company sold its assets at public auction due to bankruptcy. Jacob Schoellkopf arrived at the Falls in 1877 with the purchase of the hydraulic canal land and water and power rights. In 1879 Schoellkopf teamed up with Charles Brush (of Euclid Ohio) and powered Brush’s generator and carbon arc lights with the power from his water turbines, to illuminate the Falls electrically for the first time. The year 1895 marked the opening of the Adam No. 1 generating station on the American side. The station was the beginnings of modern electrical utility operations. The design and operations of the generating station came from worldwide competitions held by panels of experts. Some who were involved in the project include; George Westinghouse, J. Pierpont Morgan, Lord Kelvin and Nikoli Tesla. The plants were operated by the Niagara Falls Power Company until 1961, when the Robert Moses Plant began operation in Lewiston, NY. The Adams plants were demolished that same year and the site used as a sewage treatment plant. The Canadian side of the Falls began generating their own power on January 1, 1905. This power came from the William Birch Rankine Power Station located 500 yards above the Horseshoe Falls. This power station provided the village of Fort Erie with its first electricity in 1907, using its two 10,000 electrical horsepower generators. Today 11 generators produce 100,000 horsepower (75 megawatts) and operate as part of the Niagara Mohawk and Fortis Incorporated Power Group.

Generating finite integral relation algebras

Relation algebras and categories of relations in particular have proven to be extremely useful as a fundamental tool in mathematics and computer science. Since relation algebras are Boolean algebras with some well-behaved operations, every such algebra provides an atom structure, i.e., a relational structure on its set of atoms. In the case of complete and atomic structure (e.g. finite algebras), the original algebra can be recovered from its atom structure by using the complex algebra construction. This gives a representation of relation algebras as the complex algebra of a certain relational structure. This property is of particular interest because storing the atom structure requires less space than the entire algebra. In this thesis I want to introduce and implement three structures representing atom structures of integral heterogeneous relation algebras, i.e., categorical versions of relation algebras. The first structure will simply embed a homogeneous atom structure of a relation algebra into the heterogeneous context. The second structure is obtained by splitting all symmetric idempotent relations. This new algebra is in almost all cases an heterogeneous structure having more objects than the original one. Finally, I will define two different union operations to combine two algebras into a single one.

Generating Aesthetically Pleasing Images in a Virtual Environment using Particle Swarm Optimization

This research focuses on generating aesthetically pleasing images in virtual environments using the particle swarm optimization (PSO) algorithm. The PSO is a stochastic population based search algorithm that is inspired by the flocking behavior of birds. In this research, we implement swarms of cameras flying through a virtual world in search of an image that is aesthetically pleasing. Virtual world exploration using particle swarm optimization is considered to be a new research area and is of interest to both the scientific and artistic communities. Aesthetic rules such as rule of thirds, subject matter, colour similarity and horizon line are all analyzed together as a multi-objective problem to analyze and solve with rendered images. A new multi-objective PSO algorithm, the sum of ranks PSO, is introduced. It is empirically compared to other single-objective and multi-objective swarm algorithms. An advantage of the sum of ranks PSO is that it is useful for solving high-dimensional problems within the context of this research. Throughout many experiments, we show that our approach is capable of automatically producing images satisfying a variety of supplied aesthetic criteria.

Hydro Electric Commission of Niagara Falls Ontario Scrapbook, 1936-1939, 1943-1951

Sir Adam Beck ( a London, Ontario manufacturer, Mayor and Conservative member of the provincial legislature) was a champion of municipal and provincial power ownership. Beck become the “Power Minister” and chairman of the Hydro-Electric Power Commission of Ontario which was the world’s first publicly owned utility. In 1925 the first unit of the Hydro Electric Power Commission’s Queenston Chippawa hydro-electric development on the Niagara River went into service. The station was renamed in 1950 as “Sir Adam Beck #1”. This marked the 25th anniversary of Beck’s death. This is one of 2 generating stations in Niagara Falls. There is also Adam Beck Plant #2. The Niagara generating stations supply one quarter of all power used in New York State and Ontario.Ontario Hydro has two water tunnels which traverse the entire City of Niagara Falls from the Village of Chippawa in the South to the Sir Adam Beck Hydro Electric Generating Stations in the North. Also they are in the process of building the third tunnel. In addition, Ontario Hydro has a 13.6 km open canal which traverses the entire City of Niagara Falls. Source: http://www.hydroone.com/OurCompany/Pages/OurHistory.aspx

Generating Relation Algebras for Qualitative Spatial Reasoning

Basic relationships between certain regions of space are formulated in natural language in everyday situations. For example, a customer specifies the outline of his future home to the architect by indicating which rooms should be close to each other. Qualitative spatial reasoning as an area of artificial intelligence tries to develop a theory of space based on similar notions. In formal ontology and in ontological computer science, mereotopology is a first-order theory, embodying mereological and topological concepts, of the relations among wholes, parts, parts of parts, and the boundaries between parts. We shall introduce abstract relation algebras and present their structural properties as well as their connection to algebras of binary relations. This will be followed by details of the expressiveness of algebras of relations for region based models. Mereotopology has been the main basis for most region based theories of space. Since its earliest inception many theories have been proposed for mereotopology in artificial intelligence among which Region Connection Calculus is most prominent. The expressiveness of the region connection calculus in relational logic is far greater than its original eight base relations might suggest. In the thesis we formulate ways to automatically generate representable relation algebras using spatial data based on region connection calculus. The generation of new algebras is a two pronged approach involving splitting of existing relations to form new algebras and refinement of such newly generated algebras. We present an implementation of a system for automating aforementioned steps and provide an effective and convenient interface to define new spatial relations and generate representable relational algebras.

Examining Bullying Intervention Motivations Through a Cost/Benefit Analysis

The purpose of the present study was to examine the role of the bystander in bullying situations. A cost/benefit model was explored in researching factors adolescents consider in deciding whether to intervene when witnessing bullying. Adolescents in the present study (N = 101 (50.5% female), between the ages of 12 to 18, M = 15.37 years; SD = 1.71 years) completed self-report questionnaires, and also responded to bullying scenarios, stating how the bystander would react, while explaining potential personal costs and benefits. Adolescents were able to articulate various personal costs and benefits when making the decision to intervene. Conclusions of the present study include: 1) the evolutionary approach is quite informative in illuminating the decision process of the bystander, 2) adolescents’ beliefs about bullying and the role of bystanders are different from their teachers’, and 3) the rather explicit cost/benefit model could be used to develop more targeted anti-bullying programs.

Handwritten sheet of paper detailing the cost of transporting boxes containing the Gravatt’s level

Handwritten sheet of paper detailing the cost of transporting boxes containing the Gravatt’s level from London to St. Catharines, April 1847.

Handwritten sheet of paper detailing the cost of transporting boxes containing the Gravatt’s level

Handwritten sheet of paper detailing the cost of transporting boxes containing the Gravatt’s level from London to St. Catharines. This sheet is signed by S.D. Woodruff, Jan. 11, 1847.

Approximate cost of completing the railway from Port Dalhousie to St. Catharines and an estimate of the cost of the piers at Port Dalhousie signed by William Hamilton Merritt

Approximate cost of completing the railway from Port Dalhousie to St. Catharines and an estimate of the cost of the piers at Port Dalhousie signed by William Hamilton Merritt (5 pages, handwritten), July 8, 1854.

Approximate estimate of the cost of completing the Port Dalhousie Railway to the Grand Central Railway Station at Lock 12

Approximate estimate of the cost of completing the Port Dalhousie Railway to the Grand Central Railway Station at Lock 12. This document is badly torn and burned but most of the text is legible, July 14, 1854.

Estimated cost of the Port Dalhousie and Thorold Railway sent to George Rykert by S.D. Woodruff

Estimated cost of the Port Dalhousie and Thorold Railway sent to George Rykert by S.D. Woodruff, Aug. 5, 1854.

Approximate estimate of the cost of constructing and completing the Port Dalhousie and Thorold Railway to St. Catharines

Approximate estimate of the cost of constructing and completing the Port Dalhousie and Thorold Railway to St. Catharines signed by S.D. Woodruff (2 pages, handwritten), Jan. 8, 1855.

Cost of the railway from Port Dalhousie to St. Catharines

Cost of the railway from Port Dalhousie to St. Catharines (1 page, handwritten), Jan. 11, 1855.