148 research outputs found

    Reflecting on Mathematical Language through Paper Folding

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    The aim of the workshop activity is to reflect on the language of mathe- matics in a concrete way, without the need for prerequisites, and show the potential that this language can have in the design of technological objects, such as solar arrays and stents

    Closed loop stabilization of planar bilinear switched systems

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    In this paper we address the closed loop switched stabilization problem for planar bilinear systems under the assumption that the control is one dimensional and takes only the values 0 and 1. We construct a class of state-static-memoryless stabilizing feedback laws which preserve the properties of open loop switching signals. In order to prove the stability of the implemented system, we use Lyapunov techniques for differential equations with discontinuous righthand side. Finally we point out some possible extensions of our result and compare it with related results previously proven by other author

    Reflecting on Mathematical Language through Paper Folding

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    The aim of the workshop activity that we describe in this chapter is to reflect on the language of mathematics in a concrete way, without the need for prerequisites, as well as show the potential that this language can have in the design of high-tech objects. Paper folding lends itself perfectly to these purposes

    A Quick Look at Surfaces

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    The mathematical and educational goals of this workshop are to recognise and describe some features of real surfaces; to build connections between equations, physical and virtual models; and to work in groups, developing the ability to discuss mathematics and share knowledge

    MuAC: Access Control Language for Mutual Benefits

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    In a collaborative distributed environment, users own a set of private resources that they possibly share with each other to achieve mutual advantages. The access to resources is regulated by a policy defined by each user in isolation, and independently of the others. However, typical access control languages allow defining policies that only check the roles or the attributes of the requesters and resources. But they do not impose a fair exchange of access grants by taking into account what requesters offer to others. Here, we present MuAC, a logic-based access control language designed for expressing mutuality. In particular, extit{MuAC} allows specifying conditions on what requesters must offer in exchange for using a particular resource
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