The Douglas–Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas–Rachford operator is not symmetric with respect to the order of the two operators. In this paper we provide a systematic study of the two possible Douglas–Rachford operators. We show that the reflectors of the underlying operators act as bijections between the fixed...

In this paper a re-examination of the original time-series data sets used by Professor Douglas and associated researchers to establish the existence of an aggregate production function is undertaken. Particular attention is paid to the issue of whether the data provide deductive support for the ‘Laws of Production’ as claimed by Douglas (1948). Various statistical methods are used to analyse th...

We propose a Nekrasov-type formula for the instanton partition functions of four-dimensional N=2 U(2) gauge theories coupled to (A_1,D_{2n}) Argyres-Douglas theories. This is carried out by extending generalized AGT correspondence case group, which requires us define irregular states direct sum Virasoro and Heisenberg algebras. Using our formula, one can evaluate contribution theory at each fix...

Climate change provides new challenges to Nordic forestry. Use of non-native species, such as Douglas fir, can be a means of mitigating the effects of climate change and meeting the growing demand for biomass. When Douglas fir is grown in Sweden, it is several degrees of latitude north of its normal range, which can affect timing of growth cessation, hardening of seedlings, and seedling storabi...

Douglas Walton (1998). The New Dialectic. Conversational Contexts of Argument. University of Toronto Press, Toronto. x + 304 pages. ISBN 0-80207987-3. Douglas Walton (1998). Ad Hominem Arguments. The University of Alabama Press, Tuscaloosa. xx + 315 pages. ISBN 0-8173-0922-5. Douglas Walton (1999). One-Sided Arguments. A Dialectical Analysis Of Bias. State University of New York Press, Albany. ...

Little is known of wood properties in trees that were initially suppressed and subsequently released from suppression. The purpose of this study was to assess differences in growth ring width, specific conductivity (Ks), tracheid dimensions, moisture content, and wood density in suppressed Douglas-fir (Pseudotsuga menziesii (Mirb.) Franco) and western hemlock (Tsuga heterophylla (Raf.) Sarg.) t...