We model the stochastic evolution of the probability density functions (PDFs) of Ibovespa intraday returns over business days, in a functional time series framework. We find evidence that the dynamic structure of the PDFs reduces to a vector process lying in a two-dimensional space. Our main contributions are as follows. First, we provide further insights into the finite-dimensional decomposition of the curve process: it is shown that its evolution can be interpreted as a dynamic dispersion-symmetry shift. Second, we provide an application to realized volatility forecasting, with a forecasting ability that is comparable to those of HAR realized volatility models in the model confidence set framework.

The present article deals with the not very common opinion among medieval philosophers according to which the identity principle (ens est ens) is the true first principle, undermining the primacy of the principle of non-contradiction. Following a refutation of this position in the logical work of the Franciscan Geraldus Odonis, we intend to investigate its target as well as other cases of the same dispute in 14th century authors: Antoine Andre, John of Buridan, John of Baconthorpe and Nicolas of Autrecourt. We defend that Odonis presents a successful response to this position.

Abstract This paper deals with Data-Driven (DD) control design in a Model Reference (MR) framework. We present a new \{DD\} method for tuning the parameters of a controller with a fixed structure. Because the method originates from embedding the control design problem in the Prediction Error identification of an optimal controller, it is baptized as Optimal Controller Identification (OCI). Incorporating different levels of prior information about the optimal controller leads to different design choices, which allows to shape the bias and variance errors in its estimation. It is shown that the limit case where all available prior information is incorporated is tantamount to model-based design. Thus, this methodology also provides a framework in which model-based design and \{DD\} design can be fairly and objectively compared. This comparison reveals that \{DD\} design essentially outperforms model-based design by providing better bias shaping, except in the full order controller case, in which there is no bias and model-based design provides smaller variance. The practical effectiveness of the design methodology is illustrated with experimental results.

The present study is divided in two constructive ways: conversion of volumetric bodies constituted by polygonal surfaces (quads) into surfaces NURBS and conformation of patterns or other polygonal entities on such volumetric bodies. There are numerous cases where the target topology cannot be converted to a single and unique NURBS surface, a procedure that would make the task of volumetric transposition easier and which would already be solved by the use of ready made parametric modeling tools. To carry out this article's tasks, generative modeling systems and associative parametrization strategies were adopted. The knowledge for the construction of the systems used in the present research can be used in different fields that have, as a paradigm, the design creativity as one of its beacons, such as Visual Arts, Architecture and Design. The present work aims to make use of digital manufacturing through laser cutting, 3D printing or CNC milling technologies, at the same time expanding strategies.

New products development is a highly complex activity, where applying methodologies and tools to support the engineering design process is fundamental in conducting the numerous activities between the phases involved. The conceptual design phase is a critical moment for product success, where access to the existingdesign knowledgeand the prior experience of the designer are the basis for building the creative process. Thus, the Design-by-Analogy (DbA) field isa design approach that uses analogousprocesses to stimulate ideas generation seeking innovative solutions through computational techniques and tools. In this context, this article aims to propose a model forasoftware developmentbased on DbA techniques to stimulate and assist designers during project process. To fulfill this objective, literature review and existing state of the art DbA software survey establish the knowledge bases for this study. Given extracted information from these sources, analysis criteria were defined for the existing software quality characteristics evaluation. This, combined a set of desirable characteristics to establish the requirements that guided theelaboration of theproposed model, specifying its components and structure. Theresult of this paper is the model proposal, where combining existing techniques and new components that explore alternative paths will promote advances in DbA field. This model will guide the development of a softwareto aid and stimulate the conceptual phase of the project, allowing the registration of the knowledge generated during the development of projects so that they can be reused in future projects, adds new possibilities giving continuity to the studies in digital tools to support the engineering design process.