Religious Cognitive Belief, Emotional Attachment, and Behavioral Commitment and its Relationship with the Self-Regulation of Adolescents

Research indicates that religion has played a vital role in the founding of the American nation as well as the American education system. However, over the years, religion has been taken from the educational realm and is no longer considered an important variable in impacting educational outcomes. This study examined the National Study of Youth & Religion dataset to further explore what was the most important component of religiosity (religious cognitive beliefs, emotional attachment, or behavioral commitment) in impacting academic and behavioral success. This study found that religious cognitive beliefs (belief in God and belief in moral absolutes) did not have a significant relationship with academic outcomes, but were significantly correlated with behavioral outcomes.Emotional attachment and the frequency of attending religious services, prayer, and scripture reading were all also found to be significantly correlated with academic and behavioral outcomes. Religious attendance was found to be the most powerful predictor of academic grades, and emotional attachment and scripture reading were found to be the most powerful predictors of overall behavioral self-regulation. Also, many group differences were found in terms of religious affiliation. This study is important for education and has many implications for schools because prayer, scripture reading, and moral absolutes have been taken out of education. Children are being kept from knowing, developing a relationship with, and following God, which this study supportshas the potential to impact self-regulation and, ultimately, educational outcomes

A generalization of Clausen's identity

The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series similar to those in Clausen's identity. The general contiguous variation of Clausen's identity is found. The related Chaundy's identity is generalized without any restriction on the parameters of Gauss hypergeometric function. The special case of dihedral Gauss hypergeometric functions is underscored

What is the Accommodating Item in the Balance of Payments?

Balance of payments accounts are constructed using a double-entry accounting principle such that total credits equal total debits. Modelling each entry independently will not guarantee this equality. It is therefore important to identify the counterpart entries or 'accommodating' items that ensure that total credits equal total debits. This short paper identifies the accommodating item for the UK by presenting institutional evidence on the means of payment for international transactions. The paper contributes to the debate about whether the net overseas assets of banks are determined by the non-bank private sector or by the banks themselves. It also sheds light on statistical attempts to measure the volatility of various investment flows. The conclusions of the paper are likely to apply to any developed country with a well-developed banking system.Balance of payments, autonomous, accommodating, bank deposits, volatility

Can Domestic Liabilities Explain the Home Bias in UK Investment Portfolios?

It has been suggested that domestic liabilities may be an important factor in explaining the existence of a home bias in international investment portfolios. This paper provides a theoretical justification for this claim in a mean-variance framework. However, an empirical analysis for the UK does not find this effect to be large. Mean-variance efficient portfolios already exhibit significant home bias relative to the world market portfolio. Further, the predicted portfolios differ considerably from the actual portfolios of UK life assurance companies and pension funds. Possible reasons for this include weaknesses in the mean-variance approach and the role of peer pressure.mean-variance, liabilities, portfolio allocation, pension funds, insurance companies.

Why are UK Banks' Overseas Assets and Liabilities So Large?

The overseas assets and liabilities of UK banks account for over 50% of the overseas assets and liabilities of all UK residents and almost 50% of UK banks' total assets and liabilities. They are much larger than the overseas assets of banks in other developed countries. This paper adopts an institutional, theoretical and empirical approach to explain the large size of these overseas assets. We find that over 80% of these assets and liabilities are accounted for by foreign-owned UK banks and their large size may be traced to the development of the Euro-currency markets in London in the late 1950s and 1960s. Although net overseas bank assets can, in principle, be explained, the gross assets are more problematic. The theoretical literature is quite limited and the most appropriate macroeconomic framework would be complex and difficult to apply. We therefore examine some simpler empirical hypotheses about the size of these assets and liabilities but find that they are rejected by the data. We conclude that while an institutional and theoretical approach reveals the nature of UK banks' overseas assets and liabilities and suggests some of their determinants, developing a satisfactory empirical model is quite difficult.UK banks, overseas assets and liabilities, foreign-owned, euro- currency markets.

Optimality and uniqueness of the Leech lattice among lattices

We prove that the Leech lattice is the unique densest lattice in R^24. The proof combines human reasoning with computer verification of the properties of certain explicit polynomials. We furthermore prove that no sphere packing in R^24 can exceed the Leech lattice's density by a factor of more than 1+1.65*10^(-30), and we give a new proof that E_8 is the unique densest lattice in R^8.Comment: 39 page

Implicit Solutions of PDE's

Further investigations of implicit solutions to non-linear partial differential equations are pursued. Of particular interest are the equations which are Lorentz invariant. The question of which differential equations of second order for a single unknown $\phi$ are solved by the imposition of an inhomogeneous quadratic relationship among the independent variables, whose coefficients are functions of $\phi$ is discussed, and it is shown that if the discriminant of the quadratic vanishes, then an implicit solution of the so-called Universal Field Equation is obtained. The relation to the general solution is discussed.Comment: 11 pages LaTeX2

On an identity by Chaundy and Bullard. I

An identity by Chaundy and Bullard writes 1/(1-x)^n (n=1,2,...) as a sum of two truncated binomial series. This identity was rediscovered many times. Notably, a special case was rediscovered by I. Daubechies, while she was setting up the theory of wavelets of compact support. We discuss or survey many different proofs of the identity, and also its relationship with Gauss hypergeometric series. We also consider the extension to complex values of the two parameters which occur as summation bounds. The paper concludes with a discussion of a multivariable analogue of the identity, which was first given by Damjanovic, Klamkin and Ruehr. We give the relationship with Lauricella hypergeometric functions and corresponding PDE's. The paper ends with a new proof of the multivariable case by splitting up Dirichlet's multivariable beta integral.Comment: 20 pages; added in v3: more references to earlier occurrences of the identity and its multivariable analogue, combinatorial proof of the identity and extension to noninteger m,n, proof of multivariable identity by splitting up Dirichlet's multivariable beta integra

Some functional equations related to the characterizations of information measures and their stability

The main purpose of this paper is to investigate the stability problem of some functional equations that appear in the characterization problem of information measures.Comment: 36 pages. arXiv admin note: text overlap with arXiv:1307.0657, arXiv:1307.0631, arXiv:1307.0664, arXiv:1307.065