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Full-Text Articles in Physical Sciences and Mathematics
An Examination Of Computational Methods Related To G/M/C Queueing, Thomas Michaud Ms
An Examination Of Computational Methods Related To G/M/C Queueing, Thomas Michaud Ms
All Student Scholarship
The following examination of computational methods related to queues with general arrivals (i:i:d: but of unknown distribution), multiple identical servers with i:i:d: exponential service times, and ordinary first come, first served service (hereafter referred to as G/M/c to use existing naming conventions) seeks to investigate the current models and provide new results based on a draft convolution method proposed by El-Taha[3]. The new model will demonstrate the use of distributions with coefficients of variance ranging from zero to near infinity to provide flexibility in simulating a range of potential arrival distributions, and we include detailed results and software for both …
Topological Manifolds, Grant Wilson
Topological Manifolds, Grant Wilson
Thinking Matters Symposium Archive
Topological Manifolds are abstract spaces that locally resemble Euclidean space. For example, consider a round globe and a flat map. The map is a 2-dimensional representation of a 3-dimensional space. Given any point on the globe we can find a corresponding position on the map, and vice versa. This correspondence is called a chart. With a sufficient number of charts, we can describe the whole space. Such a collection of charts is called an Atlas. It is possible to construct different Atlases for the same space, allowing us to move from one chart, to the space, to another chart. This …
Inside Out: Properties Of The Klein Bottle, Andrew Pogg, Jennifer Daigle, Deirdra Brown
Inside Out: Properties Of The Klein Bottle, Andrew Pogg, Jennifer Daigle, Deirdra Brown
Thinking Matters Symposium Archive
A Klein Bottle is a two-dimensional manifold in mathematics that, despite appearing like an ordinary bottle, is actually completely closed and completely open at the same time. The Klein Bottle, which can be represented in three dimensions with self-intersection, is a four dimensional object with no intersection of material. In this presentation we illustrate some topological properties of the Klein Bottle, use the Möbius Strip to help demonstrate the construction of the Klein Bottle, and use mathematical properties to show that the Klein Bottle intersection that appears in ℝ3 does not exist in ℝ4. Introduction: Topology