9,272 research outputs found
Harmonic analysis of fractal measures induced by representations of a certain C-algebra
We describe a class of measurable subsets in \br^d such that
has an orthogonal basis of frequencies
indexed by
\lambda\in\Lambda\subset\br^d. We show that such spectral pairs have a self-similarity which may be used to generate associated
fractal measures with Cantor set support. The Hilbert space
does not have a total set of orthogonal frequencies, but a harmonic analysis of
may be built instead from a natural representation of the Cuntz C-
algebra which is constructed from a pair of lattices supporting the given
spectral pair . We show conversely that such a pair may be
reconstructed from a certain Cuntz-representation given to act on .Comment: 7 page
What research we no longer need in neurodegenerative disease at the end of life : The case of research in dementia
A complete silence. That was what we got back from the European experts who had been energetically discussing research priorities in palliative care in neurodegenerative disease (ND) until a short while ago.1 The chair, an entertaining professor with good manners, must have felt the unease and quickly refocused the group to their task. But, wasnât this the best question of all day? What research we no longer need? As scientists able to consider different perspectives, shouldnât we have some idea of what research is, by contrast, no longer necessary? Palliative care research and research with people who have ND and are at the end of their life is, by definition, difficult. Making choices is a sensitive issue, but funds are limited. Therefore, we take a counterpoint to the research agenda recently reported by European Union (EU) Joint Programme â Neurodegenerative Disease Research (JPND),1 and consider whether there are studies we no longer need or are low priority, taking the example of dementiaPeer reviewedFinal Accepted Versio
Vaginal yeasts in the era of "over the counter" antifungals
OBJECTIVE: To establish whether there has been any rise in the prevalence of non-albicans
Candida species isolated from vaginal swabs since the introduction of âover the counterâ antifungal
treatments.
METHOD: A retrospective review looking at all positive vaginal yeast isolates collected from
women attending one genitourinary medicine clinic during the 6 year period from 1993 to 1998
inclusive. All positive vaginal yeast isolates were included, regardless of whether or not the
patients were symptomatic. Isolates from HIV positive women were excluded from the analysis.
RESULT: No increase in non-albicans vaginal yeast isolates was shown during the period studied.
The proportion of non-albicans yeasts remained constant at approximately 5% of the total yeasts
isolated. The most common non-albicans yeast isolated was C glabrata.
CONCLUSION: There is no evidence from this study to suggest that the increasing use of âover the
counterâ antifungal treatment has selected for atypical, possibly inherently azole resistant, strains
of vaginal yeasts in HIV seronegative women
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