1,445,593 research outputs found

    W(h)ither calculus?

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    W(h)ither Practitioner Research?

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    The purpose of this paper is to understand better the possibilities for practitioner research as a mode of educational inquiry that is yet to be legitimated within the academy. The paper maps the current state of play, and then moves on to consider what might yet be done to optimise its potential to contribute to rigorous new thinking about educational practice. Its exploration proceeds in 3 parts: first, it seeks to account for the ambivalent status of practitioner research in the larger context of the modern university; second, it moves on from this account to argue both the value and the limitations of practitioner research as a contemporary mode of knowledge production in education; and finally, it suggests ways that practitioner research might be less de-limited in terms of its capacities to produce knowledge that is useful to a wider range of stakeholders

    Quark-Loop Amplitudes for W^+- H^-+ Associated Hadroproduction

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    In this addendum to our paper entitled "W^+- H^-+ Associated Production at the Large Hadron Collider" [Phys. Rev. D 59, 015009 (1999)], we list analytic results for the helicity amplitudes of the partonic subprocess gg -> W^-H^+ induced by virtual quarks.Comment: 6 pages (Latex

    Large deviations for local time fractional Brownian motion and applications

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    Let W^H=\{W^H(t), t \in \rr\} be a fractional Brownian motion of Hurst index H∈(0,1)H \in (0, 1) with values in \rr, and let L={Lt,t≄0}L = \{L_t, t \ge 0\} be the local time process at zero of a strictly stable L\'evy process X={Xt,t≄0}X=\{X_t, t \ge 0\} of index 1<α≀21<\alpha\leq 2 independent of WHW^H. The \a-stable local time fractional Brownian motion ZH={ZH(t),t≄0}Z^H=\{Z^H(t), t \ge 0\} is defined by ZH(t)=WH(Lt)Z^H(t) = W^H(L_t). The process ZHZ^H is self-similar with self-similarity index H(1−1α)H(1 - \frac 1 \alpha) and is related to the scaling limit of a continuous time random walk with heavy-tailed waiting times between jumps (\cite{coupleCTRW,limitCTRW}). However, ZHZ^H does not have stationary increments and is non-Gaussian. In this paper we establish large deviation results for the process ZHZ^H. As applications we derive upper bounds for the uniform modulus of continuity and the laws of the iterated logarithm for ZHZ^H.Comment: 20 page

    The conformal Yamabe constant of product manifolds

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    Let (V,g) and (W,h) be compact Riemannian manifolds of dimension at least 3. We derive a lower bound for the conformal Yamabe constant of the product manifold (V x W, g+h) in terms of the conformal Yamabe constants of (V,g) and (W,h).Comment: 12 pages, to appear in Proc. AMS; v3: small changes, very last preprint version, close to published versio

    Squark Loop Correction to W^{+-} H^{-+} Associated Hadroproduction

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    We study the squark loop correction to W^{+-} H^{-+} associated hadroproduction via gluon-gluon fusion within the minimal supersymmetric extension of the standard model. We list full analytic results and quantitatively analyze the resulting shift in the cross section at the CERN Large Hadron Collider assuming a supergravity-inspired scenario.Comment: 13 pages (Latex), 5 figures (Postscript

    W(h)ither \u3ci\u3eZschernig\u3c/i\u3e?

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    The author argues here that a declaration of victory by the critics of the dormant foreign affairs doctrine would be premature. Notwithstanding the Court\u27s citation of Ashwander v. TVA, the actual grounds of the decision in Crosby were in no meaningful sense less constitutional in nature than a decision based on the dormant foreign affairs power would have been. Moreover, even though the Court said that its decision was based on a straightforward application of settled ... implied preemption doctrine, the Court\u27s preemption analysis was anything but ordinary. Indeed, Crosby\u27s version of preemption analysis is subject to the same sorts of objections that Zschernig\u27s critics have directed at the dormant foreign affairs doctrine. Moreover, if the case were taken as a model for deciding issues of preemption in purely domestic cases, it would be anything but narrow. The decision would be narrow only if its approach to preemption were confined to suits implicating foreign relations. But then the decision would be exceptionalist, and the Court\u27s holding would begin to resemble a decision on dormant foreign affairs grounds. The author suggests here that Crosby\u27s approach to preemption was so extraordinary that it would have yielded the same conclusion with respect to the Massachusetts Burma Law even if there had been no Federal Burma Law. Crosby thus offers little cause for celebration to the critics of dormant foreign affairs doctrine. Part I of this article describes the Zschernig decision and explains how the lower courts in Crosby relied on it in striking down the Massachusetts Burma Law. Although the Supreme Court in Crosby avoided that seemingly constitutional issue in favor of a purportedly sub-constitutional preemption holding, Part II of this article argues that there is less of a difference than may at first appear between a holding based on the dormant foreign affairs doctrine and one based on obstacle preemption. Both are sub-constitutional in all relevant respects, and obstacle preemption is in any event vulnerable to the same criticisms that have been leveled at the dormant foreign affairs doctrine. Part III argues that Crosby perpetuates foreign affairs exceptionalism. Part III(A) contrasts the Crosby decision with the Court\u27s recent constitutional federalism decisions and speculates that the implications of the latter cases may have been overlooked in Crosby because the case was perceived primarily as a foreign affairs case. Part III(B) looks more closely at the reasons the Court gave in Crosby to justify its preemption holding and argues that they were so extraordinarily conducive to a finding of preemption that they would have yielded the invalidation of the Massachusetts Burma Law even if there had been no Federal Burma Law. Part IV considers the recent academic critiques of the Zschernig doctrine and concludes that they justify at most a modest reformulation, but not the abandonment, of the dormant foreign affairs doctrine. The author suggests that the Crosby decision would have rested on sounder, and narrower, grounds if the Court had interpreted Zschernig to stand for the proposition that state laws are invalid if they single out a state or a group of states, or their nationals or those who deal with them, for unfavorable treatment

    The Double Man: W. H. Auden’s Transatlantic Transformation

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    The paper attempts to consider the problem of W. H. Auden’s political engagement in the 1930s in the context of his (in)famous decision to leave England and settle down in the USA. The transatlantic journey of the eponymous member of so-called “Auden generation” prompted certain critics (notably Randall Jarrell) to set up a distinct caesura between the “English” and the “American” Auden, giving primacy to the accomplishments of the former and downplaying the works of the latter. As it is argued, America was not the place of the poet’s radical volte-face, but only a certain important, logical stage (and not a final one) in his personal and poetic evolution. His entanglements with politics were often mythologized, and occasional public and semi-political verse he “committed” often tended to subvert any attempts to pigeonhole the author in terms of his ideological stance

    Fredholm factorization of Wiener-Hopf scalar and matrix kernels

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    A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature. W-H kernels can be either of scalar form or of matrix form with arbitrary dimensions. The kernel spectrum can be continuous (with branch points), discrete (with poles), or mixed (with branch points and poles). In order to validate the proposed method, rational matrix kernels in particular are studied since they admit exact closed form factorization. In the appendix a new analytical method to factorize rational matrix kernels is also described. The Fredholm factorization is discussed in detail, supplying several numerical tests. Physical aspects are also illustrated in the framework of scattering problems: in particular, diffraction problems. Mathematical proofs are reported in the pape
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