Structuralism and the Applicability of Mathematics

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

Faixas de suficiência para a cultura do algodão no centro-oeste do Brasil: I. macronutrientes

The cotton growth occupies about 1.1 million hectares in Brazil and the midwest, especially the state of Mato Grosso, is the largest producer in the country. This work aimed to establish the sufficiency ranges for macronutrients in cotton crops by the method of mathematical chance. The work was carried out from 2000 to 2003 in the cities of Costa Rica (MS), Diamantino and Sapezal (MT), totaling 152 samples of plant tissue and yield. The chance mathematics method was adequate for to establish cotton macronutrients references values, can be to help parameters were the conventional research cannot to prove in the small time space. The use of different yields for the calculation of mathematical chance (4,000 and 4,500kg ha(-1)) in the population studied, no difference between the sufficiency ranges for macronutrients. The macronutrients sufficiency range was, in the mg kg(-1), 33-45; 3.8-5.3; 15-21; 20-36; 4.0-7.2 e 2.8-8.6 for N, P, K, Ca, Mg e S, respectly. The indicated range, however to similar with the recommendations published, they demonstrate improvement about to obtainment of increases productivities.

Representation and analysis of soccer players' actions using principal components

This paper proposes the use of the Principal Components Analysis (PCA) method to represent and to analyse soccer players' actions distribution in the pitch. The seven games of the Brazilian National Team during the 2002 World Cup were analysed. The player's position actions were measured from videotapes in a computer interface. The results were: a) the graphical representation, given by two orthogonal segments in the two directions of maximal variability and centred at the mean of each player's actions position; b) the eccentricity measurement, given by the variability ratio and c) the actions zone area, given by variability product. The results showed that the individual characteristics of acting were well represented by the PCA, allowing comparisons among games and providing insights related to the tactical organisation of the team.

On the construction and labelling of geometrically uniform signal sets in ℤ2 matched to additive quotient groups

We establish the conditions under which it is possible to construct signal sets satisfying the properties of being geometrically uniform and matched to additive quotient groups. Such signal sets consist of subsets of signal spaces identified to integers rings ℤ[i] and ℤ[ω] in ℤ2. © 2008 KSCAM and Springer-Verlag.

Linguagem e educação matemática: um mapeamento de usos na sala de aula

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Role playing game eletrônico: uma tecnologia lúdica para aprender e ensinar matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

As contribuições dos jogos para o desenvolvimento e aprendizagem da matemática em crianças da pré-escola

This research aimed do verify the contribution of the games of rules to the development and learning of the mathematics of a philantropic institution for preschool children – Centro de Educação Infantil Santo Antônio (CEISA) - from March to September 2010. The overall universe comprehends one teacher, one class auxiliary, one trainee, the organization teaching coordinator and twenty six students. The main objective was to explore games as a strategic resource for the development and learning, by searching auxiliary contributions for teaching the mathematics, and ways to wake and keep the interest of the students for the games as tools of development and learning; to identify important points for such development and learning by using games; to detect the difficulties of the students in the process of teaching-learning mathematics; to use games as a moment for fun; to show the teachers the possibilities of using ludic materials as methodic resources and to make interventions, by means of the games, to enhance the process of teaching-learning the matematics, through a qualitative approach, using the interview as instrument by means of an observation and study of case

A note on units of finite local rings in an ascending chain

In this paper we present matrices over unitary finite commutative local rings connected through an ascending chain of containments, whose elements are units of the corresponding rings in the chain such that the McCoy ranks are the largest ones.

Some considerations about cohomology of finite groups

In this work we present some considerations about cohomology of finite groups. In the first part we use the restriction map in cohomology to obtain some results about subgroups of finite index in a group. In the second part, we use Tate cohomology to present an application of the theory of groups with periodic cohomology in topology.

Fourier series for quaternions and the square of the error theorem

In this paper we introduce a type of Hypercomplex Fourier Series based on Quaternions, and discuss on a Hypercomplex version of the Square of the Error Theorem. Since their discovery by Hamilton (Sinegre [1]), quaternions have provided beautifully insights either on the structure of different areas of Mathematics or in the connections of Mathematics with other fields. For instance: I) Pauli spin matrices used in Physics can be easily explained through quaternions analysis (Lan [2]); II) Fundamental theorem of Algebra (Eilenberg [3]), which asserts that the polynomial analysis in quaternions maps into itself the four dimensional sphere of all real quaternions, with the point infinity added, and the degree of this map is n. Motivated on earlier works by two of us on Power Series (Pendeza et al. [4]), and in a recent paper on Liouville’s Theorem (Borges and Mar˜o [5]), we obtain an Hypercomplex version of the Fourier Series, which hopefully can be used for the treatment of hypergeometric partial differential equations such as the dumped harmonic oscillation.

A note on pairs of regular foliations on the solid torus

We discuss the geometry of the pair of foliations on a solid torus given by the Reeb foliation together with discs transverse to the boundary of the torus.