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Stochastic version of the arc-length method
Náprstek, Jiří ; Fischer, Cyril
The solution of a nonlinear algebraic system using the incremental method, based on pre-defined loading steps, fails in the vicinity of local extrema as well as around bifurcation points. The solution involved the derivation of the so-called ’Arc-Length’ method. Its essence lies in not incrementing the system parameter or any of the independent variables but rather the length of the response curve. The stochastic variant of this method allows for working with a system where system parameters include random imperfections. This contribution presents a variant that tracks the first two stochastic moments. Even in this simple case, interesting phenomena can be observed, such as the disappearance of the energy barrier against equilibrium jump due to random imperfections in the system.
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The Doctrine of Creation and Theology of the Neglected World: A Conversation with O. Clément, R. Rohr, N. T. Wright and the Pope Francis
Paluchníková, Štěpánka ; Noble, Ivana (advisor) ; Kočandrle Bauer, Kateřina (referee)
This diploma thesis entitled The Doctrine of Creation and Theology of the Neglected World: A Conversation with O. Clément, R. Rohr, N. T. Wright and the Pope Francis aims to interpret the doctrine of creation and theology of the world as helping to rediscover the significance of today's neglected world as an inhabited and habitable place created by a good Creator who gave the world its eschatological orientation, which is renewed through Christ and in the Spirit. In this study I have a conversation with French Orthodox theologian Olivier Clément, the American Franciscan Richard Rohr, the British Anglican theologian and Bishop N. T. Wright and the Latin American Pope Francis. Each of them helps me, in a specific way, to understand in what sense the neglected world, together with man, can and does undergo transformations so that 'the world for death becomes the world for glory.' This perspective of creation which is eucharistic, universal, continuous and good shows how to achieve this goal.
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