RSS 1.0Departamento de Matemática
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On the hardy space H1 on products of half-spaces
Bertolo, Nativi Viana Pereira
(Pacific Journal of Mathematics, 1989) [Artigo]
We show that the Hardy space Hanal1(R+2 × R+2) can be identified with the class of functions f such that f and all its double and partial Hubert transforms Hkf belong to L1(R2). A basic tool used in the proof is the ... -
Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
; Dos Santos, Carla Patrícia Ferreira; Gadotti, Marta Cilene (Palestine Journal of Mathematics, 2022) [Artigo]
Spherical Geometry is a non-Euclidean geometry that provides good tools for terrestrial location and has great applicability in Astronomy. For this reason, trigonometry in spherical triangles is an interesting subject to ... -
Research procedures to understand algebraic structures: A hermeneutic approach
; Bicudo, Maria Aparecida Viggiani (Mathematics Teaching-Research Journal, 2020) [Resenha]
The authors question how hermetic texts in mathematics, history, and philosophy of mathematics, specifically those referring to abstract algebra, can be open to the understanding of researchers, teachers and students who ... -
Gödel's incompleteness theorem in mathematics teacher formation courses: Previous possibilities
; Bicudo, Maria Aparecida Viggiani (Mathematics Teaching-Research Journal, 2020) [Artigo]
In this paper, we present our perspective about the importance of teaching Gödel's incompleteness theorem in formation courses to mathematics teacher. The phenomenon of incompleteness evidenced by the incompleteness theorem ... -
Understanding phenomenologically the constitution of knowledge when working with dynamic geometry
; Bicudo, Maria Aparecida Viggiani; (Constitution and Production of Mathematics in the Cyberspace: A Phenomenological Approach, 2020) [Capítulo de livro]
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Constitution and production of mathematics in the cyberspace: A phenomenological approach
Bicudo, Maria Aparecida Viggiani (Constitution and Production of Mathematics in the Cyberspace: A Phenomenological Approach, 2020) [Livro]
This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed ... -
Mathematics in african cultural creations: Open horizons to the world of mathematics education and the formation of the person
; Bicudo, Maria Aparecida Viggiani (Constitution and Production of Mathematics in the Cyberspace: A Phenomenological Approach, 2020) [Capítulo de livro]
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Constituting mathematical knowledge being-with-media in cyberspace
Bicudo, Maria Aparecida Viggiani (Constitution and Production of Mathematics in the Cyberspace: A Phenomenological Approach, 2020) [Capítulo de livro]
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Teacher development and curricular change: A research program
; Miskulin, Rosana Giaretta Sguerra; ; ; ; (International Approaches to Professional Development for Mathematics Teachers, 2011) [Capítulo de livro]
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Mathematics education and democracy an open landscape of tensions, uncertainties, and challenges
; Penteado, Miriam Godoy (Handbook of International Research in Mathematics Education: Third Edition, 2015) [Capítulo de livro]
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Online mathematics teacher education: Overview of an emergent field of research
Borba, Marcelo de Carvalho; (ZDM - International Journal on Mathematics Education, 2012) [Artigo]
Online mathematics teacher education is characterized as an emergent area of research in mathematics education. We identify some key topics that require further research: communities and networks of teachers in online ... -
Mathematical modelling: A path to political reflection in the mathematics class
(Teaching Mathematics and its Applications, 2006) [Artigo]This paper describes the construction of pedagogical environments in mathematics classes, centred on mathematical modelling and denominated investigative scenarios', which stimulate students to investigation, to formulation ... -
Nonlinear vibrations of a beam with a tip mass attached to a rotating hub
(Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, 2005) [Trabalho apresentado em evento]A model of a light beam mounted to a rigid hub and forced by an external torque has been analysed in the paper. An additional loading caused by a small mass attached to the end of the beam and the influence of mass moment ... -
On a control of a non-ideal mono-rail system with periodics coefficients
(Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, 2005) [Trabalho apresentado em evento]In this work, the problem in the loads transport (in platforms or suspended by cables) it is considered. The system in subject is composed for mono-rail system and was modeled through the system: inverted pendulum, car and ... -
Experimental validation of a non-linear model under non-ideal excitation
(Proceedings of the ASME Design Engineering Technical Conference, 2003) [Trabalho apresentado em evento]We present measurements of the non-linear oscillations of a portal frame foundation for a non ideal motor. We consider a three-time redundant structure with two columns, clamped in their bases and a horizontal beam. An ... -
Information geometry theory of bifurcations? A covariant formulation
Da Silva, V. B.; Vieira, J. P. ; Leonel, Edson D. (Chaos, 2022) [Artigo]
The conventional local bifurcation theory (CBT) fails to present a complete characterization of the stability and general aspects of complex phenomena. After all, the CBT only explores the behavior of nonlinear dynamical ... -
Boundedness of solutions
Afonso, Suzete M.; ; ; ; ; ; (Generalized Ordinary Differential Equations in Abstract Spaces and Applications, 2021) [Capítulo de livro]
This chapter presents the concepts of uniform boundedness, quasiuniform boundedness, and uniform ultimate boundedness in the scenery of generalized ordinary differential equations (ODEs). It includes criteria of uniform ... -
Continuous dependence on parameters
Afonso, Suzete M.; ; ; (Generalized Ordinary Differential Equations in Abstract Spaces and Applications, 2021) [Capítulo de livro]
This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ... -
Topological dynamics
Afonso, Suzete M.; ; ; (Generalized Ordinary Differential Equations in Abstract Spaces and Applications, 2021) [Capítulo de livro]
This chapter is dedicated to the study of semidynamical systems generated by generalized ordinary differential equations (ODEs). Besides the existence of a local semidynamical system, it shows the existence of an associated ... -
Stability theory
Afonso, Suzete M.; ; ; ; ; ; ; (Generalized Ordinary Differential Equations in Abstract Spaces and Applications, 2021) [Capítulo de livro]
This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in ...