Asian Research Journal of Mathematics

With the rapid development of the Internet and electronic payment, digital currencies with blockchain as the underlying technology have gradually entered people's horizons and have also received the attention of governments around the world. Due to the convenience and decentralization of digital currency transactions that are not limited by time and region, it has a significant impact on traditional commercial systems around the world, and its core block chain technology may trigger changes in many areas. At present, different countries have different views on the legal status of bitcoin digital currencies, but digital currencies circulate across borders and regions. Once problems arise, it is difficult to have a unified regulatory measure to deal with them.

Integrable cylindrical Toda lattice equations are proposed by utilizing a generalized version of the dressing method. A compatibility condition is given which insures that these equations are integrable. Further, soliton solutions for new type equations are shown in explicit forms, including one soliton solution and two soliton solutions, respectively.

In this paper, we establish Panaitopol-Bandila-Lascu type inequalities for some generalized hyperbolic functions. The established results extend and generalize some earlier results due Barbu and Piscoran. The procedure makes use of the classical arithmetic-geometric mean inequality and the Cauchy-Schwarz inequality.

Count data regression models exhibit different strengths and weaknesses in their bids to solving problems. The study considers six count models namely Poisson Regression Model (PRM), Negative Regression Model (NBRM), Zero Inflated Poisson (ZIP), Zero Inflated Negative Binomial (ZINB), Zero Truncated Poisson (ZTP) and Zero Truncated Negative Binomial (ZTNB) and an additional model called hurdle_T. These models are used to analyze two health data sets. The data on male breast cancer reveals that male breast cancer cuts across all age brackets or categories but it is more prevalent between the ages of 50 and 60. The PRM yields a better result than the NBRM in the case of cancer data as shown by the information criteria. The analysis of the second data, which is on doctor’s visit reveals that ZINB yields a better result than the other five models, followed by NBRM, then the ZTNB before their Poisson counterparts. The hurdle_T model shows the propensity of each coefficient as reflected by the positive count in the Tobit (Binary) model. The study also shows that at 65 years and above, gender has significant effect on doctor’s visit. In particular, females, more than males attract more doctors’ visit in the said age range. Government policies should provide more funds in the health sector to accommodate cancer cases in terms of the provision of awareness, studies/ research and infrastructural development. Males should be encouraged to visit clinics especially in their late forties and above for breast cancer related checkup. At age 65 and above, doctors visit to patients are frequent, especially to females. Policy of government in the health sector should accommodate a favourable adjustment in the budget to take care of doctors’ visit.

People in the early stages were even afraid to touch the computer, but nowadays almost everybody can use the computer and its tools. Integration of ICT in mathematics is not merely using computer for typing and printing questions, searching and delivering lessons via PowerPoint but rather using ICT in teaching various topics in mathematics. Integration of ICT in mathematics education also has a positive impact on mathematics teaching and learning. It is therefore necessary for teachers in mathematics to use technology in teaching, and also to encourage students to use technology in mathematics learning. This will enable the students to better understand the mathematics concept taught. With the teaching and learning of mathematics becoming more and more technology base these days to the younger generations, it is, therefore, crucial to throw more light on the use of technology among school mathematics teachers and students which is the new wave of recommended instructions.