T&T Clark Companion to Methodism

To Clark . ii

In this thesis we study a formal first order system T in the standard language L, of Gentzen’s LK, see [Tak87]. T(tind) extends LK by the following valid first-order inference rule (A is quantifier-free). Γ,A(a), Λ→ ∆,A(s(a)), Θ Γ,A(0), Λ→ ∆,A(sn(0)), Θ (tind) This rule is called term induction, it derives a restricted term built from successor s and the constant 0. We call such terms numerals....

Tangent Cones to TT Varieties

As already done for the matrix case in [6, p.256], [1, Thm. 6.1, p.1872] and [10, Thm. 3.2] we give a parametrization of the Bouligand tangent cone of the variety of tensors of bounded TT rank. We discuss how the proof generalizes to any binary hierarchical format. The parametrization can be rewritten as an orthogonal sum of TT tensors. Its retraction onto the variety is particularly easy to co...

Companion to Neonatal Medicine

THIS short book is one of a series of three volumes summarizing the principles of obstetrics, gynaecology and neonatal medicine. It is essentially a book of lists written by two doctors: "a medical adviser to a major pharmaceutical company," and "a physiological laboratory worker" respectively. The authors and their colleagues are said to have conceived this book during their 'shop-floor' exper...

Clark Glymour

Twenty years ago, Nancy Cartwright wrote a perceptive essay in which she clearly distinguished causal relations from associations, introduced philosophers to Simpson’s paradox, articulated the difficulties for reductive probabilistic analyses of causation that flow from these observations, and connected causal relations with strategies of action (Cartwright 1979). Five years later, without appr...

Katerina Clark