A Possibility or Just a Wish? Assessing Current Perceptions on the Potentials of a Full Student Loan Debt Forgiveness Legislation

Burdensome and unmanageable is what student loan repayment has become to almost 45 million Americans who owe a total of about $1.7 trillion in student loans. It is therefore intriguing to find out if a complete student loan debt forgiveness miracle is a possibility or just a wish, based on current perceptions. This study is based on the Three-Policy Window Stream Theory and the Interest Group Theory. Four mini-focus interview groups were created and their responses were analyzed using the Grounded-Theory Technique. From our findings, it is evident that student loan debt affects the mass, forming a rapidly growing informal interest group made up of mostly millennials. Yet, the pressure from this fast-growing informal interest group is not strong enough to oppose that of other interest groups like Republicans, taxpayers, financial institutions, and other stakeholders involved in student loans, to necessitate an immediate passage of legislation on student loans debt forgiveness.

Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory

"Let \mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0<\lambda <1 and f \in C([0,b] \times \textbf{K}^3,\textbf{K}). In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation $$ y'(x)=f(x,y(x),y'(x),y(\lambda x)), x \in [0,b].$$ "

Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer

Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99

“Books, physical spaces, rules, people”: A holistic analysis of young Chinese children’s perceptions of public libraries

Young children’s perceptions of library services are often ignored when providing library services to this group. In order to reveal young children’s perceptions, grounded theory technique was used to analyze the interview data from 92 young Chinese children. The authors first proposed an integrated model of young children’s perceptions of Chinese public libraries, including the elements of books, physical spaces, rules, and people. Subsequently, the model is compared to the adult experts’ perspectives, revealing that young children could perceive all the experts’ proposed services and functions. Besides, they could perceive rules in libraries. Furthermore, young children were able to convert the abstract library classification index system to perceptible clues. The findings could be used to improve library services to accurately conform to young children’s perspectives.

Key Roles of Crypto-Exchanges in Generating Arbitrage Opportunities

The evolving crypto-currency market is seen as dynamic, segmented, and inefficient, coupled with a lack of regulatory oversight, which together becomes conducive to observing the arbitrage. In this context, a crypto-network is designed using bid/ask data among 20 crypto-exchanges over a 2-year period. The graph theory technique is employed to describe the network and, more importantly, to determine the key roles of crypto-exchanges in generating arbitrage opportunities by estimating relevant network centrality measures. Based on the proposed arbitrage ratio, Gatecoin, Coinfloor, and Bitsane are estimated as the best exchanges to initiate arbitrage, while EXMO and DSX are the best places to close it. Furthermore, by means of canonical correlation analysis, we revealed that higher volatility and the decreasing price of dominating crypto-currencies and CRIX index signal bring about a more likely arbitrage appearance in the market. The findings of research include pre-tax and after-tax arbitrage opportunities.