4,662 research outputs found

    Orthonormal bases of regular wavelets in spaces of homogeneous type

    Get PDF
    Adapting the recently developed randomized dyadic structures, we introduce the notion of spline function in geometrically doubling quasi-metric spaces. Such functions have interpolation and reproducing properties as the linear splines in Euclidean spaces. They also have H\"older regularity. This is used to build an orthonormal basis of H\"older-continuous wavelets with exponential decay in any space of homogeneous type. As in the classical theory, wavelet bases provide a universal Calder\'on reproducing formula to study and develop function space theory and singular integrals. We discuss the examples of LpL^p spaces, BMO and apply this to a proof of the T(1) theorem. As no extra condition {(like 'reverse doubling', 'small boundary' of balls, etc.)} on the space of homogeneous type is required, our results extend a long line of works on the subject.Comment: We have made improvements to section 2 following the referees suggestions. In particular, it now contains full proof of formerly Theorem 2.7 instead of sending back to earlier works, which makes the construction of splines self-contained. One reference adde

    Multi-dimensional numerical simulations of type Ia supernova explosions

    Full text link
    The major role type Ia supernovae play in many fields of astrophysics and in particular in cosmological distance determinations calls for self-consistent models of these events. Since their mechanism is believed to crucially depend on phenomena that are inherently three-dimensional, self-consistent numerical models of type Ia supernovae must be multi-dimensional. This field has recently seen a rapid development, which is reviewed in this article. The different modeling approaches are discussed and as an illustration a particular explosion model -- the deflagration model -- in a specific numerical implementation is presented in greater detail. On this exemplary case, the procedure of validating the model on the basis of comparison with observations is discussed as well as its application to study questions arising from type Ia supernova cosmology.Comment: 30 pages, 7 figures (Fig. 6 with reduced resolution

    The Narrative Coherence Standard and Child Patients' Capacity to Consent

    Get PDF
    Aryeh Goldberg compellingly argues for a Narrative Coherence Standard (NCS) to bolster existing methods of assessing patients' mental capacity. But his account fails to distinguish between the cognitive abilities of children and adults; consequently, worries may be raised about the scope of the NCS, in particular when we consider child patients. In this article, I argue the NCS cannot plausibly apply to children. Since children's self-conception does not arrive fully formed — but rather is a product of both incomplete cognitive development and socializing factors — I claim children may not possess a sufficiently intimate knowledge of self, and therefore a sufficiently coherent sense of self, as Goldberg demands. Therefore, we should either revise the NCS to accommodate children, adopt an incremental view of consent, or revert to the relevant form of the MacArthur competence criteria to establish children’s capacity to consent

    Stronger computational modelling of signalling pathways using both continuous and discrete-state methods

    Get PDF
    Starting from a biochemical signalling pathway model expresses in a process algebra enriched with quantitative information, we automatically derive both continuous-space and discrete-space representations suitable for numerical evaluation. We compare results obtained using approximate stochastic simulation thereby exposing a flaw in the use of the differentiation procedure producing misleading results

    Naomi Mitchison’s we have been warned (1935) in post-referendum Scotland

    Get PDF
    Mitchison weaves a realist political novel about the lives of two upper-middle class women in 1930s Britain with abstract forays into Scottish folklore as the kelpies follow the sisters, haunting their modern activities. Sometimes the dialogue is stilted, and reads as thinly-veiled politics rather than the high literature found elsewhere in Mitchison’s oeuvre. But, in spite of these shortcomings, the novel has much to offer a reader, and particularly one reading from post-referendum Scotland. Even those who have never read a Mitchison novel before will find much to admire and celebrate in this complicated book. The politics of Mitchison’s novel, which covers the debates between communism and socialism, and between socialism and feminism, often read as relevant to modern debates and Mitchison’s forward-thinking attitude to birth control and abortion might mean that the novel would still be banned if it were published today, particularly in certain American schools

    Who\u27s Afraid of Unenumerated Rights?

    Get PDF
    Unenumerated rights are expressly protected against federal infringement by the original meaning of the Ninth Amendment and against state infringement by the original meaning of the Privileges or Immunities Clause of the Fourteenth Amendment. Despite this textual recognition, unenumerated rights have received inconsistent and hesitant protection ever since these provisions were enacted, and what protection they do receive is subject to intense criticism. In this essay, the author examines why some are afraid to enforce unenumerated rights. While this reluctance seems most obviously to stem from the uncertainty of ascertaining the content of unenumerated rights, he contends that underlying this concern are more basic assumptions about legislative sovereignty and the proper role of judges. The author explains why a proper conception of constitutional legitimacy requires that unenumerated rights be protected somehow, that judicial protection is not as problematic as commonly thought once it is acknowledged that all liberty may be reasonably regulated (as opposed to prohibited), and that we need to ascertain the scope of unenumerated rights only to identify wrongful behavior that may be prohibited altogether because it invariably violates the rights of others

    Natural Suppression of the Aquatic Weed Salvinia molesta D.S. Mitchell, by Two Previously Unreported Fungal Pathogens

    Get PDF
    Salvinia molesta D. S. Mitchell (Salviniaceae), variously called giant salvinia, water fern or African payal, is a vegetatively reproducing, perennial, free-floating, aquatic weed, native to southeastern Brazil (Waterhouse and Norris 1987). It (hereafter called salvinia) is a very serious weed in most regions outside its native range (Harley and Mitchell 1981) including India. The purpose of this paper is to report on two fungal pathogens that were found to be the cause of a sudden decline in salvinia in Bangalore.(PDF has 4 pages.

    Samuel Chase: In Defense of the Rule of Law and Against the Jeffersonians

    Get PDF
    Samuel Chase is not exactly unknown. Indeed, as the only U.S. Supreme Court Justice to be impeached, he achieved a sort of instant fame, or instant infamy. He is, I think, fairly characterized as a neglected Justice, however, because, in our exclusive focus on his impeachment, we tend to forget that he did possess considerable intelligence, virtue, legal ability, and energy that make him worth our study. His life is also something of an object lesson in how a judge\u27s self-destructive tendencies can harm his reputation. As Richard Peters, his colleague on the Pennsylvania Circuit Court remarked, Chase had a singular instinct for tumult and appeared to have sought controversy whenever he could. I never sat with him without pain, Peters remembered, as he was forever getting into some intemperate and unnecessary squabble. \u27 Chase is remembered as a rabid Federalist partisan and a vehemently anti-Jeffersonian judge. I am not aware of any other Supreme Court Justice who apparently deprived his Court of a full complement of required personnel because he went out on the political hustings to give speeches in support of a presidential candidate he favored (John Adams) and against one he feared (Thomas Jefferson). During the 1800 election campaign, Chase made himself an easy target for Jeffersonian newspapers when he appeared to sympathize zealously with the prosecution of Jeffersonian editors and writers. Indeed, more than one historian has suggested that in the trial of one of these writers, the notorious John Thompson Callender, Chase actively sought to prevent all creatures called democrats from serving on the jury. This assertion, however, is dubious
    • …
    corecore