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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
1p Spaces, Anh Tuyet Tran
1p Spaces, Anh Tuyet Tran
Theses Digitization Project
In this paper we will study the 1p spaces. We will begin with definitions and different examples of 1p spaces. In particular, we will prove Holder's and Minkowski's inequalities for 1p sequence.
Fundamental Theorem Of Algebra, Paul Shibalovich
Fundamental Theorem Of Algebra, Paul Shibalovich
Theses Digitization Project
The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.
Renewal Theory For Uniform Random Variables, Steven Robert Spencer
Renewal Theory For Uniform Random Variables, Steven Robert Spencer
Theses Digitization Project
This project will focus on finding formulas for E[N(t)] using one of the classical problems in the discipline first, and then extending the scope of the problem to include overall times greater than the time t in the original problem. The expected values in these cases will be found using the uniform and exponential distributions of random variables.
Egyptian Fractions, Jodi Ann Hanley
Egyptian Fractions, Jodi Ann Hanley
Theses Digitization Project
Egyptian fractions are what we know as unit fractions that are of the form 1/n - with the exception, by the Egyptians, of 2/3. Egyptian fractions have actually played an important part in mathematics history with its primary roots in number theory. This paper will trace the history of Egyptian fractions by starting at the time of the Egyptians, working our way to Fibonacci, a geologist named Farey, continued fractions, Diophantine equations, and unsolved problems in number theory.
The Cyclic Cutwidth Of Mesh Cubes, Dwayne William Clarke
The Cyclic Cutwidth Of Mesh Cubes, Dwayne William Clarke
Theses Digitization Project
This project's purpose was to understand the workings of a new theorem introduced in a professional paper on the cutwidth of meshes and then use this knowledge to apply it to the search for the cyclic cutwidth of the n-cube.