Algebraic Coding Theory – Jon Moreland (5/9/13)

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...

Partial Fractions Continued (3/27/13)

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...

February 13, 2013, Jon Moreland – Partial Fractions

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...