Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Institution
- Publication
- Publication Type
- File Type
Articles 1 - 4 of 4
Full-Text Articles in Algebra
Irreducibility And Galois Groups Of Random Polynomials, Hanson Hao, Eli Navarro, Henri Stern
Irreducibility And Galois Groups Of Random Polynomials, Hanson Hao, Eli Navarro, Henri Stern
Rose-Hulman Undergraduate Mathematics Journal
In 2015, I. Rivin introduced an effective method to bound the number of irreducible integral polynomials with fixed degree d and height at most N. In this paper, we give a brief summary of this result and discuss the precision of Rivin's arguments for special classes of polynomials. We also give elementary proofs of classic results on Galois groups of cubic trinomials.
Revisiting Fibonacci And Related Sequences, Arthur Benjamin, Jennifer Quinn
Revisiting Fibonacci And Related Sequences, Arthur Benjamin, Jennifer Quinn
Jennifer J. Quinn
This issue focuses on proving several interesting facts about the Fibonacci Sequence using a combinatorial proof. The aim of Delving Deeper is for teachers to pose and solve novel math problems, expand on mathematical connections, or offer new insights into familiar math concepts. Delving Deeper focuses on mathematics content appealing to secondary school teachers. It provides a forum that allows classroom teachers to share their mathematics from their work with students, their classroom investigations and products, and their other experiences. Delving Deeper is a regular department of Mathematics Teacher.
On Lattice Structure Of The Probability Functions On L*, Mashaallah Mashinchi, Ghader Khaledi
On Lattice Structure Of The Probability Functions On L*, Mashaallah Mashinchi, Ghader Khaledi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the set of all probability functions on L* is studied, where L* is the lattice of bothvalued fuzzy sets or intuitionistic fuzzy sets. It is shown that the set of all probability functions on L* endowed with two appropriate operations has a monoid structure which is also a distributive complete lattice. Also the lattice structure of the set of all probability functions on L* induced by an appropriate function on [0, 1] to itself is studied. Some lattice (dual) isomorphisms are discussed that suggests probabilities on L* could be considered in the framework of theories modeling imprecision.
Finite Abelian Groups In Which The Probability Of An Automorphism Fixing An Element Is Large, Gary J. Sherman
Finite Abelian Groups In Which The Probability Of An Automorphism Fixing An Element Is Large, Gary J. Sherman
Mathematical Sciences Technical Reports (MSTR)
Let G be a finite group and let A be its automorphism group. We obtain various results on the probability that a random element of A fixes a random element of G.