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Titlebook: Hope and Courage in the Climate Crisis; Wisdom and Action in John Wiseman Book 2021 The Editor(s) (if applicable) and The Author(s), under

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John Wisemanquivalent to all of .’s generic frameworks being .-flattenable; (iv) existence of one generic .-flattenable framework for . is equivalent to the independence of the edges of ., a generic property of frameworks; (v) the rank of . equals the dimension of the projection of the .-dimensional stratum of
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John Wisemann of surfaces. If in the term geometric reasoning we do not only include the process of proving or disproving geometric statements, but also the analysis and manipulation of geometric objects, then algorithms for parametrization play an important role in this wider view of geometric reasoning.
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John Wisemanthe functional representation of semi-algebraic point sets defined by such inequalities, so-called R-functions, to describe nonlinear geometric objects in the configuration space. The potential field defined by R-functions can be used to “move” objects in such a way as to avoid collisions. Introduci
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John Wisemanle to automate moving from implicit to explicit (.) and from explicit to implicit (.) proof evidence via the proof checking of a .. Performing elaboration makes it possible to transform a proof certificate with details missing into a certificate packed with enough details so that a simple kernel (wi
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