The discussion in this paper gives several theorems and lemmas on the Sums of Squares consecutive Carol Numbers. These are proved by using definition carol numbers mathematical induction method. Here matrix form recursive sum squares is also given. properties derived.

Proofs are used both to assist or insure the solution of specific problems in mathematics and to provide the cement that holds together the construction of large-scale mathematical structures, such as the theory of real numbers or the theory of groups. In this and subsequent chapters, we shall be using proofs for a large-scale project, namely the construction of some of the most common number s...

a‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. for this reason, many researchers have used various numerical methods to solve fuzzy linear systems. in this paper, we define the concepts of midpoint a...

When comparing between the values of different choices, human beings can rely on either more cognitive processes, such as using mathematical computation, or more affective processes, such as using emotion. However, the neural correlates of how these two types of processes operate during value-based decision-making remain unclear. In this study, we investigated the extent to which neural regions...

This paper presents a practical analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. for making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. in line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or de...

Numeration is not only useful in solving math problems, but also everyday life. One of problems that can be found related to numeration Palembang’s special cake called Maksuba . The purpose the research describe student’s numeracy competence for numbers subject context. type descriptive having 3 grade V elementary school students odd semester. data collected this are obtained through written te...

Abstract In this article, we direct attention to what becomes critical in teaching activities for toddlers (1–3-year-olds) learn the meaning of numbers. One activity thoroughly explore is interactive book reading, based on previous research indicating positive learning outcomes from type mathematical activity, as it has shown simultaneously embrace child’s perspective and encourage interaction ...

This paper presents a new mathematical model, in which the location of hubs is fixed and their capacity is determined based on facilities and factories allocated to it. In order to feed the client's nodes, different types of vehicles of different capacities are considered, in which the clients are allocated to hubs, and types and numbers of vehicles are allocated to the factory's facilities. To...