Blindfolded Into Debt: A Comparison of Credit Card Costs and Conditions at Banks and Credit Unions

This report analyzes the deceptive effect of credit card terms and conditions and how these terms and conditions massively raise the cost of using credit cards and contribute to rising levels of consumer debt

Regularity of Eigenstates in Regular Mourre Theory

The present paper gives an abstract method to prove that possibly embedded eigenstates of a self-adjoint operator $H$ lie in the domain of the $k^{th}$ power of a conjugate operator $A$. Conjugate means here that $H$ and $A$ have a positive commutator locally near the relevant eigenvalue in the sense of Mourre. The only requirement is $C^{k+1}(A)$ regularity of $H$. Regarding integer $k$, our result is optimal. Under a natural boundedness assumption of the multiple commutators we prove that the eigenstate 'dilated' by $\exp(i\theta A)$ is analytic in a strip around the real axis. In particular, the eigenstate is an analytic vector with respect to $A$. Natural applications are 'dilation analytic' systems satisfying a Mourre estimate, where our result can be viewed as an abstract version of a theorem due to Balslev and Combes. As a new application we consider the massive Spin-Boson Model.Comment: 27 page

Algebra Balance Scales

Students will use models to visualize what is actually happening when you go through the steps of solving a linear equation using algebra

Population Standard Deviation using TI Calculator

Calculate the population standard deviation for a set of data

The Look of Leadership: Do Perceptions of Facial Features Relate to Perceptions of Character Traits in Political Candidates?

By examining whether or not perceptions of facial features relate to perceptions of character traits in political candidates, this paper attempts to explore the implications of what voters look for when examining candidates based solely on appearance. Respondentsare thought tobe looking to put their trust in a representative to represent them fairly and wisely, the trustee representative, results are expected toshow respondents look for universal features that are perceived to be connected to perceptions of trustworthiness, honesty, leadership and competency. Respondents will be looking to delegate their political responsibilities to a representative that they assume to have similar interests, the delegate representative, if respondents are found to look for facial similarity between themselves and the candidates they rate higher in trustworthiness, honesty, leadership and competency. Results show consistently significant relationships with different features associated with youth resulting in higher trustworthiness and honesty ratings.Results also shows significant results relating pointier facial structure to lower honesty and trustworthiness ratings.Preliminary results warrant further exploration of theserelationships with a morerefined method and more precise measures, which will be accomplishedin future work