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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Analysis Of The Homeless Population Of Three Major Cities, Katherine Ferrara
Analysis Of The Homeless Population Of Three Major Cities, Katherine Ferrara
Honors Senior Capstone Projects
No abstract provided.
Automatic Analysis Of Musical Lyrics, Joanna Gormley
Automatic Analysis Of Musical Lyrics, Joanna Gormley
Honors Senior Capstone Projects
Is music getting less sophisticated over time? That is the question which this study aims to answer, with the goal of improving upon previous analysis done on the topic. The blog posts which inspired this project lacked accuracy and dimensionality. Realizing that a larger data set of songs would make a significant difference in the precision of our analysis, we set out to design a piece of software constructed with the capability to analyze several thousand songs. Mimicking previous works which analyzed sophistication of music, the software focuses on the lyrics of songs. Three metrics were used in order to …
The Applications Of Mathematics In Finance Actuarial Exam Fm Preparation, Robyn Stanley
The Applications Of Mathematics In Finance Actuarial Exam Fm Preparation, Robyn Stanley
Honors Senior Capstone Projects
Financial mathematics is a growing field in which mathematicians and business professionals alike are regularly finding new links between the two industries. By further developing this area of study, businesses will be able to evaluate trends analytically by implementing mathematical techniques in their investigations. Businesses with a particular interest in financial mathematics include investment banks, commercial banks, hedge funds, insurance companies, corporate treasuries, and regulatory agencies. In particular, the field of actuarial science focuses directly on the applications of mathematics in finance, and requires all aspiring actuaries seeking certification to successfully complete an exam specifically designed to test the applicant’s …
Conditions For Obtaining Nontrivial Knots From Collections Of Vectors, Joseph Borgatti
Conditions For Obtaining Nontrivial Knots From Collections Of Vectors, Joseph Borgatti
Honors Senior Capstone Projects
We explore under what conditions one can obtain a nontrivial knot, given a collection of n vectors. First, we show how to get a crossing from any 3 vectors equal in magnitude, by arbitrarily picking 2 vectors and identifying the sufficient and necessary criteria for picking a third vector that will guarantee a crossing when the vectors are reordered. We also show that it’s always possible for a set of vectors to be reordered to form the unknot, if they sum to ~0 when added together. Our main results are restricted to sets of n vectors that, when reordered appropriately, …
Zero-Knowledge Proofs For Puzzles, Hunter Ripsom-Gardiner
Zero-Knowledge Proofs For Puzzles, Hunter Ripsom-Gardiner
Honors Senior Capstone Projects
This thesis will demonstrate zero-knowledge proofs for the puzzle games Kakuro and Rush- Hour. For Kakuro we will provide a classic zero-knowledge proof similar to the zero- knowledge proof for Sudoku. For Rush-Hour we will provide both a physical zero-knowledge proof and a classic zero-knowledge proof. These proofs share similarities with the zero- knowledge proof for the Rubik's Cube.