A path space integral approach to modelling the job description of the cerebellum is proposed. This new approach incorporates the “tidal wave” equation into a kind of generalized Huygens's wave equation. The resulting exponential functional integral provides a mathematical expression of the inhibitory function by which the cerebellum “sculpts” the intended control signal from the background of neuronal excitation.

A propagator for a path space integral can be used to represent the “tidal wave function” and provides a natural way to model a control signal that is temporally segmented by placement of pairs of stimulating and recording electrodes. Although care must be exercised in interpreting the resulting measurement, the technique should prove useful to experimenters who study cerebellar functioning.

We examine brand building from the perspective of complex adaptive systems. Brand building is a neglected engine of capital formation, innovation and institutional change in market economies. The nature of brands and the service streams they generate have been construed too narrowly. Brands are capital: entrepreneurs use brands as market-making devices that create value and capture profit, while consumers use brands to derive psychic income and lifestyle benefits. Brands are building blocks that can be combined in production to fill perceived gaps in brand architectures and capital structures. These structures are themselves complex adaptive systems. In an era of digital technological platforms, complex generative networks are the institutional locus of brand creation and brand extensions. Innovation in brand building is a socially distributed, service-intensive and interpretive process; it entails combinatorial experiments in resource integration by heterogeneous and socially connected actors, such as entrepreneur-producers, end-users and distributors. Legal brand owners never have total control over their brands – customer networks often exercise substantial de facto control rights (economic property rights) over the use and transformation of brands. Both the entire branding system (as a form of organization) and individual iconic brands can crystallize into relatively stable institutions that orient and coordinate market behaviour.

In the Bretton Woods era the controversy over cross-border use of national monies turned on how to create ‘symmetries’ and avoid significant ‘asymmetries’ in the way national currencies shared specific international currency functions. We examine the twentieth-century work of prominent economists on the nature, choice, and functions of international currencies. Prescriptive approaches to international currency formation are considered, beginning with the discussion of the Bretton Woods plans, followed by doctrinal developments stimulated by the collapse of the Bretton Woods system. Why are those developments instructive, given recent revisitation of the currency internationalization question in modern international monetary thought and policy? The modern revival of this question resembles a rehabilitation and restatement of earlier controversies, though it underestimates the gradual encroachment of the idea of international currency competition. This idea came to dominate other doctrines from the 1970s; it accommodates the ongoing adaptation of national currencies to the full range of international currency functions.

The potential for future commercialization of glyphosate-resistant wheat necessitates evaluation of agronomic merits of this technology. Experiments were established to evaluate glyphosate-resistant wheat and weed responses to glyphosate rate, application timing, and tank mixtures. Glyphosate at 1,680 g/ha did not injure wheat. Wheat response to glyphosate applied to one- to three- or three- to five-leaf wheat was not different from that of untreated wheat. Wheat was injured more from glyphosate plus thifensulfuron or glyphosate plus dicamba than from individual herbicides at one of six locations, but grain yield was not affected by glyphosate tank mixtures. Glyphosate application timing did not affect control of wild oat or common lambsquarters 56 d after treatment. Glyphosate when applied to one- to three-leaf wheat provided better control of wild buckwheat than later glyphosate application, whereas glyphosate applied to three- to five-leaf wheat provided the best control of green and yellow foxtail, redroot pigweed, and Canada thistle. Weed control with glyphosate tended to be better than with conventional herbicides, and wheat treated with glyphosate produced approximately 10% more grain than wheat treated with conventional herbicide tank mixes.

We undertake a close textual study of the entire corpus of Ludwig Lachmann's publications from 1936 to 1991 and demonstrate that his theory of entrepreneurial behaviour is sufficiently distinctive to warrant ranking alongside the theories of Schumpeter and Kirzner. Lachmann's entrepreneurs are creatively constructive change-agents who discover, exploit and create gaps in capital structures. Entrepreneurs select and interpret specific market and institutional phenomena using pre-existent rules and mental ‘instruments’, extract meaning about capital-forming opportunities, and generate all subsequent capital combinations. Lachmannian entrepreneurs are problem-solvers and communicate problem ‘solutions’ by dissolving and reforming capital combinations. We examine 20th-century Lachmannian research that builds on these foundations – research that emphasizes the institutional and material embeddedness of entrepreneurial behaviour and that appreciates the capacity of Lachmann's approach to explain entrepreneurial success, imitation and failure in a dynamic endogenous process. To underscore the distinctiveness of the Lachmannian entrepreneur, we compare it with Schumpeterian and Kirznerian approaches.

We examine various, sometimes divergent, conceptions of capital and its structure in the Austrian tradition from Menger (1871) to Lachmann (1956). We outline Menger’s methodological and philosophical position that recommends investigating the morphology of capital—its shape, form, and structure; it also recommends maintaining some “realisticness” in the treatment of capital in economics. Prominent Austrian contributions are examined and compared along various dimensions: the existence or otherwise of “original” factors of production; time conceptions; analytical domain assumptions; real and money capital doctrines; the causal role of the entrepreneur in creating capital; and the fundamental question of capital aggregation into a stock or fund. We consider the extent to which Menger’s avowed followers and successors diverged from his original vision of capital, subsequent consequences for the development of Austrian capital theory, and implications of Mengerian structural analysis for the study of capital more generally.

Observations of CH+, J = 1 − 0 and 2 − 1 near 0.835 and 1.67THz with Herschel/HIFI and of 13CH+, J = 1 − 0 near0.830 THz with APEX revealed their rest frequencies to be higher than the accepted valuesby 21 and 30 km s-1, respectively. Very recent laboratory measurements of theJ = 1 − 0 transition frequencies of CH+,13CH+ and CD+ and fits to these as well as electronicspectral data resolved the descrepancies. The laboratory spectroscopic situation will bereviewed for selected cationic light hydride species.

Let K denote a number field, and G a finite abelian group. The ring of algebraic integers in K is denoted in this paper by $/cal{O}_K$, and $/cal{A}$ denotes any $/cal{O}_K$-order in K[G]. The paper describes an algorithm that explicitly computes the Picard group Pic($/cal{A}$), and solves the corresponding (refined) discrete logarithm problem. A tamely ramified extension L/K of prime degree l of an imaginary quadratic number field K is used as an example; the class of $/cal{O}_L$ in Pic($/cal{O}_K[G]$) can be numerically determined.