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Full-Text Articles in Physical Sciences and Mathematics
Euclidian Geometry: Proposed Lesson Plans To Teach Throughout A One Semester Course, Joseph Willert
Euclidian Geometry: Proposed Lesson Plans To Teach Throughout A One Semester Course, Joseph Willert
Mathematics Undergraduate Theses
Overview We provide several engaging lesson plans that would aid in the teaching of geometry, specifically targeting Euclidian Geometry, towards students of high school age. The audience of this piece would be high school or college students who have not yet had an introduction to geometry, but have completed the standard mathematical courses leading up to this point (i.e. algebra, elementary math, etc.). This being the case the lessons and concepts realized in Chapter 1 target a basic understanding of what Euclidian Geometry is and the subsequent chapters aim specifically at underlying properties of a geometry. The main source of …
Pythagorean Theorem Area Proofs, Rachel Morley
Pythagorean Theorem Area Proofs, Rachel Morley
Mathematics Undergraduate Theses
This composition is intended to walk the reader through four proofs of the pythagorean theorem that are based on area. It could be used in a classroom to solidify the pythagorean theorem after studying Neutral and Euclidean Geometries.
Selective Strong Screenability, Isaac Joseph Coombs
Selective Strong Screenability, Isaac Joseph Coombs
Boise State University Theses and Dissertations
Screenability and strong screenability were both introduced some sixty years ago by R.H. Bing in his paper Metrization of Topological Spaces. Since then, much work has been done in exploring selective screenability (the selective version of screenability). However, the corresponding selective version of strong screenability has been virtually ignored. In this paper we seek to remedy this oversight. It is found that a great deal of the proofs about selective screenability readily carry over to proofs for the analogous version for selective strong screenability. We give some examples of selective strongly screenable spaces with the primary example being Pol's …
Secure Multiparty Protocol For Differentially-Private Data Release, Anthony Harris
Secure Multiparty Protocol For Differentially-Private Data Release, Anthony Harris
Boise State University Theses and Dissertations
In the era where big data is the new norm, a higher emphasis has been placed on models which guarantees the release and exchange of data. The need for privacy-preserving data arose as more sophisticated data-mining techniques led to breaches of sensitive information. In this thesis, we present a secure multiparty protocol for the purpose of integrating multiple datasets simultaneously such that the contents of each dataset is not revealed to any of the data owners, and the contents of the integrated data do not compromise individual’s privacy. We utilize privacy by simulation to prove that the protocol is privacy-preserving, …