Exchange energy calculation of He-He with supermolecular one-matrix

Exch~nge energy of the He-He system is calculated using the one-density matrix which has been modified according to the supermolecular density formula quoted by Kolos. The exchange energy integrals are computed analytically and by the Monte Carlo method. The results obtained from both ways compared favourably,with the results obtained from the SCF program HONDO

Health-Enhancing Physical Activity and Well-Being: Is it How Often, How Long, or How Much Effort that Matters? A Test of Basic Psychological Needs Theory

The primary objectives of the present study were 1) to examine the relationship between health-enhancing physical activity (HEPA) and well-being across the previous day and 2) to examine the role of basic psychological need satisfaction as a potential mediator of the HEPA – well-being relationship. Participants (N = 203) were a convenience sample of undergraduate students with data collected cross sectionally. HEPA was generally associated with well-being (r‟s ranged from .18 to .62). Multiple mediation analyses supported psychological need satisfaction as mechanisms underpinning the HEPA – well- being relationship. Subsequent analyses demonstrated that effort put forth in HEPA activities, as opposed to frequency or duration, uniquely predicted well-being. The role of effort was further highlighted in the multiple mediation analyses. As such future research may wish to investigate the utility of a HEPA program that facilitates effortful engagement and fulfillment of basic psychological needs.

Generator Matrix Based Search for Extremal Self-Dual Binary Error-Correcting Codes

Self-dual doubly even linear binary error-correcting codes, often referred to as Type II codes, are codes closely related to many combinatorial structures such as 5-designs. Extremal codes are codes that have the largest possible minimum distance for a given length and dimension. The existence of an extremal (72,36,16) Type II code is still open. Previous results show that the automorphism group of a putative code C with the aforementioned properties has order 5 or dividing 24. In this work, we present a method and the results of an exhaustive search showing that such a code C cannot admit an automorphism group Z6. In addition, we present so far unpublished construction of the extended Golay code by P. Becker. We generalize the notion and provide example of another Type II code that can be obtained in this fashion. Consequently, we relate Becker's construction to the construction of binary Type II codes from codes over GF(2^r) via the Gray map.

Basic Psychological Needs as mediators: An examination of the relationship between exercise and well-being

Grounded in Basic Psychological Needs Theory (Deci & Ryan, 2002), the present investigation examined whether psychological need satisfaction mediated the relationship between moderate-to-vigorous physical activity (MVPA) and well-being. Adopting a longitudinal design participants (N= 147) completed questionnaires assessing MVPA, well-being and perceived psychological need satisfaction in exercise contexts on three occasions separated by three weeks. A pattern of small-to-moderate correlations were noted between MVPA and indices of well-being (r12's ranged from .16 to .29). Multiple mediation analysis indicated that perceived psychological need satisfaction mediated the relationship between MVPA and well-being with perceived competence emerging as a unique mediator. Serial mediation analyses indicated the importance of ongoing psychological need satisfaction to well-being. Contexts that afford individuals the opportunity to engage in MVPA, as well as supports their need for competence, would be most advantageous for the promotion of psychological well-being.