Proof. Myhill has proved that any productive set is productive under a 1-1 total function. A corresponding result is easily established for any contraproductive set having at least one total contraproductive function. Letting h(x, y) be the recursive function of [2, Theorem 2.4, p. 69], consider the sequence s0 = h(0, 0), Sx — h(l, s0), s2 = h(0, Sx), Si = h(i, s2), Si = h(2, S3), and so on. Th...

Studies of computer-supported collaborative learning have begun to explore processes of online group cognition—such as small-group methods of problem solving—and how they can be mediated by various technological and interactional mechanisms to promote academically productive discourse. This chapter first presents (1) an analysis of co-presence as a foundational aspect of online interaction in a...

Preliminary version; no citation please 2 ABSTRACT In this still ongoing exercise, we provide a fresh scrutiny of the productivity performance of Chinese industry for the period 1952-2000 using a newly constructed data set. We have relaxed most unrealistic neo-classical assumptions as used in other studies, such as profit maximisation, perfect competition and constant returns to scale and taken...

According to the celebrated theorem of Comfort and Ross (1966), the product of an arbitrary family of pseudocompact topological groups is pseudocompact. We present an overview of several important generalizations of this result, both of “absolute” and “relative” nature. One of them is the preservation of functional boundedness for subsets of topological groups. Also we consider close notions of...

A large literature explores the importance of entrepreneurship as the catalyst of economic progress. In contrast, this paper argues that entrepreneurs are the driver of economic stagnation. We analyze the non-productive entrepreneurial process and discuss three channels through which non-productive activities have a multiplier effect culminating in economic decline and stagnation. Drawing on ex...

Formal constitutional amendment can be difficult to achieve and, without the confidence of experience, may introduce changes that too quickly and too rigidly alter the balance of authority between federal and state governments. Therefore, in federal systems it is preferable to experiment with alterations prior to formal adoption. In this article I address how federal systems encourage two types...