by morland | May 6, 2013 | Spring 2013

One of the most important applications of finite fields has been the creation of Algebraic Coding Theory: A response to communication errors. Algebraic codes are utilized in compact disks, DVD players, fax machines, digital televisions, bar code scanners, and are...
by morland | Mar 26, 2013 | Spring 2013

Using much of what was discussed in my last talk, we will prove a very important theorem that deals with a prime expansion of any rational number. An understanding of the following concepts are necessary to complete the proof: Relatively Prime Two positive integers m...
by morland | Feb 6, 2013 | Spring 2013

As the article indicates, in order to properly understand partial fractions, one must be considerably familiar with irreducible polynomial: For any field F, a polynomial with coefficients in F is said to be irreducible over F if it is non-constant and cannot be...