In this paper, we derive and prove, by means of Binomial theorem and Faulhaber's formula, the following identity
between $m$-order polynomials in \(T\)
\(\sum_{k=1}^{\ell}\sum_{j=0}^m A_{m,j}k^j(T-k)^j=\sum_{k=0}^{m}(-1)^{m-k}U_m(\ell,k)\cdot T^k=T^{2m+1}, \ \ell=T\in\mathbb{N}.\)
Fred Brooks Jr. outlined four inherent problems in software engineering in his paper No Silver Bullet. Being written almost thirty years ago new technologies have been developed which have not been evaluated against these properties. This paper will be evaluating the features of NoSQL databases and look to see how they affect the problems, whether positively or negatively.
The usage of software has grown as computers become popular. There have emerged, both in academia and in the market, technological solutions for several areas, among them education. On the other hand, classroom teaching and learning continues to suffer from classical educational problems such as lack of student and teacher motivation and lack of clear educational goals. And although software supports learning across a range of disciplines and ages, children's audiences, especially in mathematics, have been little contemplated with the benefits that technological solutions can bring. Therefore, the use of pedagogical approaches, such as Bloom's Taxonomy and Formative Assessments, together with gamification techniques, such as Octalysis, can be used to develop a technological solution that contemplates this public. The present work aims to propose the development of a software to assist the teaching and learning of mathematics for children in the classroom.
Curriculum Vitae of Yuri da Silva Villas Boas
An Applied Mathematics Bachelors by the Federal University of Rio de Janeiro, with expertise in Finance and considerable experience in C++ searches for a position as IT.