Search results for "Mathematica"

Revisited mixed-value method via symmetric BEM in the substructuring approach

2012

Abstract Within the Symmetric Boundary Element Method, the mixed-value analysis is re-formulated. This analysis method contemplates the subdivision of the body into substructures having interface kinematical and mechanical quantities. For each substructure an elasticity equation, connecting weighted displacements and tractions to nodal displacements and forces of the same interface boundary and to external action vector, is introduced. The assembly of the substructures is performed through both the strong and weak regularity conditions of the displacements and tractions. We obtain the solving equations where the compatibility and the equilibrium are guaranteed in the domain Ω for the use of…

Using Attribute Grammars for Description of Inductive Inference Search Space

1998

The problem of practically feasible inductive inference of functions or other objects that can be described by means of an attribute grammar is studied in this paper. In our approach based on attribute grammars various kinds of knowledge about the object to be found can be encoded, ranging from usual input/output examples to assumptions about unknown object's syntactic structure to some dynamic object's properties. We present theoretical results as well as describe the architecture of a practical inductive synthesis system based on theoretical findings.

Encouraging students’ problem posing through importing visual images into mathematical software

2017

Tasks and Digital Tools

2016

International audience; This chapter considers scholastic tasks with digital tools. The first two sections consider tasks in ‘ordinary’ classrooms (tasks for learning) and issues relating to tasks using mathematical software. The first section presents examples of tasks with digital tools to highlight potential problems and opportunities for learning. The second section considers issues arising from the literature on tasks design with and without digital tools. The final section looks at task-tool issues in larger-than-the-individual classroom research and in assessment; it also comments of avenues for further development

Some conventional and unconventional educational column stability Problems

2006

Two interesting problems are considered for enriching the curriculum of the Strength of Materials course, in the light of recently developed functionally graded materials (FGMs), characterized with the smooth variation of the elastic modulus. These are problems associated with buckling of columns with variable flexural rigidity along the axis of the column. A simple semi-inverse method is proposed for determining closed-form solutions of axially inhomogeneous columns. In order for the presentation to be given in one package, the conventional problems are also recapitulated along with the novel ones. The main approach adopted here is the use of the second-order differential equation, instea…

A measurement-based trajectory model for drifted motions towards a target zone

2016

Trajectory models have numerous applications in the area of wiewlwss communications. The aim of this paper is to develop an empirical trajectory model for drifted motions. Recently, a highly flexible trajectory model based on the primitives of Brownian fields (TramBrown) was proposed by A. Borhani and M. Patzold. This paper provides an empirical proof for TramBrown using global positioning system (GPS) data collected from real life user traces drifting to a particular target point or a zone. The recorded location coordinates of the mobile user are processed to compute the total travelling length and the angle-of-motion (AOM) along the drifted trajectory. It is shown that the probability den…

Some applications of a theorem of Shirshov to language theory

1983

Some applications of a theorem of Shirshov to language theory are given: characterization of regular languages, characterization of bounded languages, and a sufficient condition for a language to be Parikh-bounded.

Intensity invariant nonlinear correlation filtering in spatially disjoint noise.

2010

We analyze the performance of a nonlinear correlation called the Locally Adaptive Contrast Invariant Filter in the presence of spatially disjoint noise under the peak-to-sidelobe ratio (PSR) metric. We show that the PSR using the nonlinear correlation improves as the disjoint noise intensity increases, whereas, for common linear filtering, it goes to zero. Experimental results as well as comparisons with a classical matched filter are given.

Real And Positive Filter Based On Circular Harmonic Expansion

1989

A real and positive filter for pattern recognition is presented. The filter, based on the circular harmonic (CH) expansion of a real function, is partially rotation invariant. As it is real and positive, the filter can be recorded on a transparency as an amplitude filter. Computer simulations of character recognition show a partial rotation invariance of about 40°. Optical experiments agree with these results and with acceptable discrimination between different characters. Nevertheless, due to experimental difficulties, the method is onerous for use in general pattern recognition problems.

CARACTERÍSTICAS MOTIVACIONALES DE PREESCOLARES CON BAJO RENDIMIENTO MATEMÁTICO

2016

El presente trabajo pretende profundizar en la motivación hacia el aprendizaje y el estilo atribucional de preescolares con bajo rendimiento matemático en relación a dos grupos de referencia: rendimiento medio y riesgo de Trastorno Específico de Aprendizaje con Dificultad Matemática (TEAP-DM). Participaron en el estudio 209 preescolares categorizados en función de su nivel de rendimiento aritmético mediante una prueba estandarizada. Se evaluaron los constructos de competencia-motivación, atención-persistencia y actitud hacia el aprendizaje, relacionadas con la motivación hacia el aprendizaje, y de internalidad, estabilidad y globalidad del estilo atribucional. Los resultados mostraron difer…