We introduce a model for the surplus of nonprofit organizations (NPO). We assume two types of spending schemes for an NPO. Type I is a constant spending rate and Type II is a variable rate above and below a cut-off reserve level. Under steady state, we compute and compare the...
Just as prime numbers can be thought of as the building blocks of the natural numbers, in a similar fashion, simple groups may be considered the building blocks of finite groups. Burnside considered the following
questions:
1. Do there exist non-abelian simple groups of odd order?
2. Do there exist...
The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their seed in some keen observations of Ramanujan.In particular he discovered what are referred to as...
For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the
Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
Presented in this paper is an analysis of the body of scholarly work that attempts to apply
Thomas Kuhn’s theory of scientific revolutions to mathematics. These applications vary on
several levels, from the authors’ interpretation of Kuhn’s original work to the definitions
used for terms such as paradigm, revolution, and...
A Cell Phone Audio Controlled Point of Sale system was designed and built for an undergraduate electrical and computer engineering senior design project. The system was designed to enable a user to transfer data from any cell phone to a point of sale device using audio tones. The project involved...
In public high schools, drug and alcohol prevention programs and policies have been ineffective in their deterrence of drug and alcohol use and abuse (Skager R., 2007). It is important to consider the needs of students and to create an effective, student centered drug and alcohol prevention program and policy....
For several years researchers have investigated how teachers’ beliefs
impact a classroom. Equally important to consider when striving to improve
education are the beliefs held by the students. College Algebra is an important
class for many collegiate students, and gaining an insight into their beliefs about
mathematics and desires for...
The extent to which thermoacoustic data determines the acoustic properties of an object was studied. In the case of one dimensional thermoacoustic imaging it was shown that constant acoustic profiles are uniquely specified from measurements. For a radial thermoacoustic problem we have shown that if the acoustic source is radial...
The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a (nontrivial) integral linear combination of the dimensions of irreducible representations...