We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.Theoretical and Mathematical Physics, 19

Ventilation shaft is one of the effective elements in natural venti- lation for ensuring acceptable Indoor Air Quality (IAQ) and thermal comfort. It has been found that the opening of ventilation shaft plays a significant role in the ventilation efficiency of an underground shelter. In this study, we aim to develop a predictive ventilation rate mod

In this study, the soil temperature profile was computed based on the harmonic heat transfer equations at various depths. The meteorological data ranging from January, 1st 2016 to December, 31st 2016 measured by local weather stations were employed. The findings indicted that as the soil depth increases, the temperature changes are negligible and t

It was known that orthogonality preserving property and surjectivity of nonlinear Markov operators, acting on finite dimensional simpleces, are equivalent. It turns out that these notions are no longer equivalent when such kind of operators are considered over on infinite dimensional spaces. In the present paper, we find necessary and sufficient co

Candida albicans is becoming a significant problem for oral candidiasis worldwide. In addition, the proliferation of antifungal-resistant C. albicans has become a major concern. This study was carried out to evaluate the effects of activated virgin coconut oil (AVCO) and the crude extract of virgin coconut oil (VCO) to search for a new antifungal a

Requirement engineering (RE) helps to effectively define users’ needs and produce quality set of requirements. Nonetheless, RE efforts consume a lot of resources due to many contributing and challenging factors. Requirement reuse using pattern can help to reduce the RE resources. This work investigates requirements reuse using pattern by applying

With rising incidents of school violence worldwide, educators and researchers are trying to understand and find ways to enhance the safety of children at school. The purpose of this study was to investigate the extent to which the demographic variables of gender, age, length of service, position, academic qualification, and school location predicte

Apart from being the primary source of food to other living things, plants also have medicinal value to treat various kinds of diseases. In recent years, it has been proposed that the extract from plants may be used as natural antioxidants which can help to prevent the generation of carcinogens in human body. In addition, plants also have antimicro

Fused deposition modeling (FDM) is one of the Rapid Prototyping (RP) technologies. The 3D Printer has been widely used in the fabrication of 3D products. One of the main issues has been to obtain a high quality for the finished parts. The present study focuses on the effect of nozzle diameter in terms of pressure drop, geometrical error as well as

The current trend shows that most parents are interested in making sure that their children received the tahfiz and Quran education. However, no matter how good the Tahfiz programs are, they are not complete without relating it to motivation. Hence, this study was conducted to explore the motivation behind the children’s memorization of the Qur?a