In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but in the current paper we go beyond this approximation and perform an exact calculation of the angular integrals. The powers of the infrared behaviour of the propagators are changed substantially. We find the very intriguing result that the gluon propagator vanishes in the (...) infrared exactly like p2, whilst the ghost propagator is exactly as singular as 1/p4. We also find that the value of the infrared fixed point of the QCD coupling is much decreased from the y-max estimate: it is now equal to 4π/3. Following a recent study by von Smekal et al.[1], we analyzed in Ref.[2] the coupled Dyson- Schwinger equations for the gluon and ghost form factors F and G. The approximations were two-fold: firstly the vertices were taken bare, and secondly angular averaging was introduced (the so-called y-max approximation). Deferring to later work an improvement of the vertices. (shrink)

Cell adhesion complexes are critical for the physical coordination of cell–cell interactions and the morphogenesis of tissues and organs. Many adhesion receptors are anchored to the plasma membrane by a glycosylphosphatidylinositol (GPI) moiety and are thereby partitioned into membrane rafts. In this review, we focus on reciprocal interactions between rafts and adhesion molecules, leading to receptor clustering and raft expansion and stability. A model for a three‐stage adhesion complex assembly process is also proposed. First, GPI‐anchored adhesion molecules are recruited into (...) rafts, which in turn promote receptor cis‐oligomerization and thereby produce precursory complexes primed for avid trans‐interactions. Second, trans‐interactions of the receptors cross‐link and stabilize large amalgams of rafts at sites of adhesion complex assembly. Finally, the enlarged and stabilized rafts acquire enhanced abilities to recruit the cytoskeleton and induce signaling. This process exemplifies how the domain structure of the plasma membrane can impact the function of its receptors. BioEssays 24:996–1003, 2002. © 2002 Wiley‐Periodicals, Inc. (shrink)

The contest between “Lockeian liberalism” and “classical republicanism” as explanatory frameworks for the intellectual history of the American Revolution, and therefore of the present-day United States, has been one of the longest running and most distinguished in recent U.S. historiography. It also has major implications for the history of political thought in the North Atlantic Anglophone world more widely. Yet this debate was merely suspended when it was held to have ended in an ill-defined compromise. Although some U.S. historians expressed (...) doubts and qualifications, attention in U.S. historiography moved on to other themes while leaving the initial problem unsolved. This article reopens the question; it suggests that a historicization of both these two categories is now both possible and necessary, and that their supersession will advance understanding of the Revolution. It seeks to help solve this problem by the same means that the debate began: that is, by re-establishing a link between U.S. and U.K. historiographies. (shrink)

I do not approach the question of free will as a scientist, like Colin Blakemore, or a lawyer, like David Hodgson, or philosopher, like Daniel Dennett, but as a priest -- someone who feels responsible for my own actions and who is called upon to counsel and absolve such as come to me with their shame and their guilt. Should I say that their sense of responsibility is illusory? Or should I encourage them to accept responsibility, and then to deal (...) with it in the various ways -- religious, psychological and practical -- that are open to them? (shrink)

What are we to make of the cultural nonconformity of hardcore/punks? Is there any ethical value in the pursuit of cultural nonconformity? Distinct moral justifications can be teased from the lyrics of the hardcore/punk bands that we have grown up with and still love. The best explanation of what makes cultural nonconformity morally valuable, we believe, comes from John Stuart Mill: that it opens up new cultural space to oneself and to others, permitting "new and original experiments of living.".

In this paper we generalize the pigeonhole principle by using isols as our fundamental counting tool.

In this essay I contrast Freud’s account of mourning in Mourning and Melancholia to that of Merleau-Ponty in Phenomenology of Perception. In suggesting a somatic as well as a psychic response, Merleau-Ponty, I argue, more accurately accounts for the ways in which we experience loss and why, contrary to Freud’s suggestion, mourning’s work is never completed.

This paper develops a general language of event configurations to discuss and compare various modes of proposition formation. It is shown that any finite orthogonality space can be numerically encoded. This encoding is applied to show that the quasimanual of all orthogonal subsets of any finite point-determining orthogonality space may be decomposed into a union of manuals and that the logic of these quasimanuals may be regarded as a composite of interlocking associative orthoalgebras.

Since Klingner's dissertation it has generally been accepted by Ciceronian scholars that Molon's influence upon Cicero's prose style consisted in his imparting to his pupil no new stylistic ideal but rather moderation in both language and style. According to Cicero, Molon's style had developed under the teaching of Menecles of Alabanda who, though himself an Asianist, aimed rather at crebrae venustaeque sententiae, a more elegant and concise form of antithesis, parallelism, and stylistic balance.

A nonnegative interger is called a number, a collection of numbers a set and a collection of sets a class. We write ε for the set of all numbers, o for the empty set, N(α) for the cardinality of $\alpha, \subset$ for inclusion and $\subset_+$ for proper inclusion. Let α, β 1 ,...,β k be subsets of some set ρ. Then α' stands for ρ-α and β 1 ⋯ β k for β 1 ∩ ⋯ ∩ β k . For (...) subsets α 1 ,..., α r of ρ we write: $\alpha_\sigma - \{x \in v \ (\nabla i) \lbrack i \in \sigma \Rightarrow x \in \alpha_i\rbrack\} \text{for} \sigma \subset (1, \ldots, r),\\ s_i = \sum \{N(\alpha_\sigma) \mid \sigma \subset (1,\ldots, r) \& N(\sigma) = i\}, \text{for} 0 \leqq i \leqq r$ . Note that α 0 = v, hence s 0 = N(v). If the set v is finite, the classical inclusion-exclusion principle (abbreviated IEP) states $(a) N(\alpha_1 \cup \cdots \cup \alpha_r) = \sum^r_{t=1} (-1)^{t-1} s_t = \sum_{o \subset_+\sigma \subset (1,\ldots,r)}$ (b) N(α' 1 ⋯ α' r ) = ∑ r t=0 (-1) t s t = ∑ (-1) N(σ) N (α σ ). In this paper we generalize (a) and (b) to the case where α 1 ,⋯, α r are subsets of some countable but isolated set v. Then the role of the cardinality N(α) of the set α is played by the RET (recursive equivalence type) Req α of α. These generalization of (a) and (b) are proved in § 3. Since they involve recursive distinctness, this notion is discussed in § 2. In § 4l we consider a natural extension of "the sum of the elements of a finite set σ" to the case where σ is countable. § 5 deals with valuations, i.e., certain mappings μ from classes of isolated sets into the collection λ of all isols which permit us to further generalize IEP by substituting μ(α) for $\operatorname{Req} \alpha$. (shrink)

"Written in clear language, this book offers a seasoned historian's effective response to postmodernism's challenge to culture and history.