Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Roots of polynomials"”.
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Roots of polynomials and their connections
In the study of mathematics, one of the most useful, relevant topics explored in secondary mathematics remains the zeros of polynomials. This paper will present various ways to explore this topic while preserving the fundamental concept as a whole. In addition, this paper will reveal some distinct …
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A parallel algorithm for simple roots of polynomials
A method for finding simple roots of arbitrary polynomials based on divided differences is discussed. Theoretical background is presented for the case of simple roots. Numerical results are presented which show the algorithm finds simple and (usually) multiple zeros to an accuracy limited by the …
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Generating Surfaces of Variable Eccentricity Within a Ray Tracer
… paper will discuss a method for finding real roots of polynomials [allowing us to create these surfaces]. First, we will give the reader a basic comprehension of the workings of a ray tracer, a general understanding of three dimensional polynomial surfaces, how this newly implemented root …
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Implementation of a digital control system analysis program using the z-transform
… complex and includes a wide range of tools to aid the engineer. For discrete systems the z-transform is one such tool. This paper discusses the development and application of a computer program which utilizes the z-transform in the analysis of univariate, linear, time-invariant …
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Mathematical Modeling and Computational Studies for Cell Signaling
… to mammals play a pivotal role in many aspects of cellular functions. The mating decision in yeast is a switch-like or bistability response that allows cells to filter out weak pheromone signals or avoiding improper mating when a mate is sufficiently close. In many cases, scaffold proteins are …
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The structure of spaces of valuations and the local uniformization problem
The problem of resolution of singularities is a major problem in algebraic geometry. Local uniformization can be seen as its local version. For varieties over fields of characteristic zero, local uniformization was proved by Zariski in 1940 and resolution of singularities was proved by Hironaka in …