69 resultados para homogeneous Banach space of periodic functions


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We construct an infinite dimensional non-unital Banach algebra $A$ and $a\in A$ such that the sets $\{za^n:z\in\C,\ n\in\N\}$ and $\{({\bf 1}+a)^na:n\in\N\}$ are both dense in $A$, where $\bf 1$ is the unity in the unitalization $A^{\#}=A\oplus \spann\{{\bf 1}\}$ of $A$. As a byproduct, we get a hypercyclic operator $T$ on a Banach space such that $T\oplus T$ is non-cyclic and $\sigma(T)=\{1\}$.

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Analysis of binding recognition and conformation of biomolecules is of paramount important in understanding of their vital functions in complex biological systems. By enabling sub-wavelength light localization and strong local field enhancement, plasmonic biosensors have become dominant tools used for such analysis owing to their label-free and real-time attributes1,2. However, the plasmonic biosensors are not well-suited to provide information regarding conformation or chemical fingerprint of biomolecules. Here, we show that plasmonic metamaterials, consisting of periodic arrays of artificial split-ring resonators (SRRs)3, can enable capabilities of both sensing and fingerprinting of biomolecules. We demonstrate that by engineering geometry of individual SRRs, localized surface plasmon resonance (LSPR) frequency of the metamaterials could be tuned to visible-near infrared regimes (Vis-NIR) such that they possess high local field enhancement for surface-enhanced Raman scattering spectroscopy (SERS). This will provide the basis for the development of a dual mode label-free conformational-resolving and quantitative detection platform. We present here the ability of each sensing mode to independently detect binding adsorption and to identify different conformational states of Guanine (G)-rich DNA monolayers in different environment milieu. Also shown is the use of the nanosensor for fingerprinting and detection of Arginine-Glycine-Glycine (RGG) peptide binding to the G-quadruplex aptamer. The dual-mode nanosensor will significantly contribute to unraveling the complexes of the conformational dynamics of biomolecules as well as to improving specificity of biodetection assays that the conventional, population-averaged plasmonic biosensors cannot achieve.

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The use of controlled periodic illumination with UV LEDs for enhancing photonic efficiency of photocatalytic decomposition processes in water has been investigated using methyl orange as a model compound. The impact of the length of light and dark time periods (T ON/T OFF times) on photodegradation and photonic efficiency using a UV LED-illuminated photoreactor has been studied. The results have shown an inverse dependency of the photonic efficiency on duty cycle and a very little effect on T ON or T OFF time periods, indicating no effect of rate-limiting steps through mass diffusion or adsorption/desorption in the reaction. For this reactor, the photonic efficiency under controlled periodic illumination (CPI) matches to that of continuous illumination, for the same average UV light intensities. Furthermore, under CPI conditions, the photonic efficiency is inversely related to the average UV light intensity in the reactor, in the millisecond time regime. This is the first study that has investigated the effect of controlled periodic illumination using ultra band gap UV LED light sources in the photocatalytic destruction of dye compounds using titanium dioxide. The results not only enhance the understanding of the effect of periodic illumination on photocatalytic processes but also provide a greater insight to the potential of these light sources in photocatalytic reactions. 

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Participatory and socially engaged art practices have, for a couple of decades, emerged a myriad of aesthetic and methodological strategies across different media. These are artistic practices that have a primary interest in participation, affecting social dynamics, dialogue and at times political activism. Nato Thompson in “Living Form: Socially Engaged Art from 1991-2011” surveys these
practices, which range from theatre to urban planning, visual art to healthcare. Linked to notions such as relational aesthetics (Bourriaud, 1998), community art and public art, socially engaged art often focuses on the development of a sense of ownership by the part of participants. If an artist is working truly collaboratively with participants and addressing the reality of a particular community, the long-term effect of a project lies in the process of engagement as well as in the artwork itself. Projects by New York based artist Pablo Helguera, for example, use different media to engage with social inequalities through participative action while rejecting the notion of art for art sake.

“Socially engaged art functions by attaching itself to subjects and problems that normally belong to other disciplines, moving them temporarily into a space of ambiguity. It is this temporary snatching away of subjects into the realm of art-making that brings new insights to a particular problem or condition and in turn makes it visible to other disciplines.” (Helguera, 2011)

Socially engaged practices develop the notion of artwork about or by a community, to work of a community. In this chapter we address how socially engaged, participatory approaches can form a context for the sonic arts, arguably less explored than practices such as theatre and performance art. The use of sound is clearly present in a wide range of socially engaged work (e.g. Helguera’s “Aelia Media” enabling a nomadic radio station in Bologna or Maria Andueza “Immigrant Sounds – Res(on)Art (Stockholm)” exploring ways of sonically resonating a city, or Sue MacCauley’s “The Housing Project” addressing ways of representing the views of urban dwellers on public scape through sound art. It is nevertheless rare to encounter projects which take our experience of sound in the everyday as a trigger for community social engagement in a participatory context.
We address concepts and methodologies behind the project Som da Maré, a participatory sonic arts project in the favelas of Maré, Rio de Janeiro.

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At Easter 1916, Dublin city centre was one of a series of sites throughout Ireland where a rebellion was staged against British rule. It was a strategic failure, swiftly crushed by superior British forces. The event, however, subsequently took a central role in the mythology of modern Ireland.

The first visual representations were of the conflict’s aftermath: photographic journeys through landscapes of ruin. From the distance of the camera, we see none of the pockmarks of shell bursts, nor the etchings of machine guns. Instead, traces of life in the city seem to have been swept aside by an unseen hand: the passing of millennia or a violent action of nature. Architecture alone has witnessed and recorded its presence. Amongst the fragments, the shell of the General Post Office (G.P.O.) in Sackville Street is one of the few buildings still wholly recognizable. The remnants of its classical form, portico and pediment, columns and entablature seem to transcend its prosaic modern functions and allude to something more ancient. The bewilderment of city’s inhabitants is also recorded. Dubliners have become inquisitive tourists in streets which hitherto were the locus of everyday life. They wander around aimlessly in a landscape as alien and picturesque as Pompeii. This shift in perception was captured by the Irish poet W.B. Yeats who hinted that Dublin, purged of modern commercialism had transcended its petty inadequacies to revive a slumbering heroic past.

‘I have met them at the close of day
Coming with vivid faces
From counter or desk among grey
Eighteenth-century houses [.]’
All is changed, changed utterly:
A terrible beauty is born.’

His comments were prescient. Initially unpopular, the republican leaders, executed by the British, slowly became recast as heroic martyrs. Similarly, the spaces where their heroism was forged became venerated. The G.P.O. and Sackville Street, however, already had a republican history. It was originally conceived in the eighteenth century as part of a series of magnificent urban spaces to provide an arena of spectacle and self-celebration for the colonial Anglo-Irish and their vision of a Protestant republic. O’Connell/Sackville Street became the temporal, geographical and mythical hinge upon which two different versions of Irish republicanism waxed and waned. Its recasting after independence as a space of Catholic Nationalism bore testimony to its consistency in providing a backdrop for the production of ritual and myth. In the 1920s and 30s, as the nascent country, beset with economic stagnation and political tensions, turned to spectacle as a salve for it social problems, O’Connell Street and the G.P.O. provided its most sacred sites. Within the introduction of new myths, however, individual as well as national identities were created and consolidated. The emerging identity of modern Ireland became inextricably linked with that of one ambitious politician. His uses of the G.P.O. in particular revealed a perceptive understanding of the political uses of classical architecture and urban space.

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In his essay, Anti-Object, Kengo Kuma proposes that architecture cannot and should not be understood as object alone but instead always as series of networks and connections, relationships within space and through form. Some of these relationships are tangible, others are invisible. Stan Allen and James Corner have also called for an architecture that is more performative and operative – ‘less concerned with what buildings look like and more concerned with what they do’ – as means of effecting a more intimate and promiscuous relationship between infrastructure, urbanism and buildings. According to Allen this expanding filed offers a reclamation of some of the areas ceded by architecture following disciplinary specialization:

‘Territory, communication and speed are properly infrastructural problems and architecture as a discipline has developed specific technical means to deal with these variables. Mapping, projection, calculation, notation and visualization are among architecture’s traditional tools for operating at the very large scale’.

The motorway may not look like it – partly because we are no longer accustomed to think about it as such – but it is a site for and of architecture, a territory where architecture can be critical and active. If the limits of the discipline have narrowed, then one of the functions of a school of architecture must be an attempt occupy those areas of the built environment where architecture is no longer, or has yet to reach. If this is a project about reclamation of a landscape, it is also a challenge to some of the boundaries that surround architecture and often confine it, as Kuma suggests, to the appreciation of isolated objects.

M:NI 2014-15
We tend to think of the motorway as a thing or an object, something that has a singular function. Historically this is how it has been seen, with engineers designing bridges and embankments and suchlike with zeal … These objects like the M3 Urban Motorway, Belfast’s own Westway, are beautiful of course, but they have caused considerable damage to the city they were inflicted upon.

Actually, it’s the fact that we have seen the motorway as a solid object that has caused this problem. The motorway actually is a fluid and dynamic thing, and it should be seen as such: in fact it’s not an organ at all but actually tissue – something that connects rather than is. Once we start to see the motorway as tissue, it opens up new propositions about what the motorway is, is used for and does. This new dynamic and connective view unlocks the stasis of the motorway as edifice, and allows adaptation to happen: adaptation to old contexts that were ignored by the planners, and adaptation to new contexts that have arisen because of or in spite of our best efforts.

Motorways as tissue are more than just infrastructures: they are landscapes. These landscapes can be seen as surfaces on which flows take place, not only of cars, buses and lorries, but also of the globalized goods carried and the lifestyles and mobilities enabled. Here the infinite speed of urban change of thought transcends the declared speed limit [70 mph] of the motorway, in that a consignment of bananas can cause soil erosion in Equador, or the delivery of a new iphone can unlock connections and ideas the world over.

So what is this new landscape to be like? It may be a parallax-shifting, cognitive looking glass; a drone scape of energy transformation; a collective farm, or maybe part of a hospital. But what’s for sure, is that it is never fixed nor static: it pulses like a heartbeat through that most bland of landscapes, the countryside. It transmits forces like a Caribbean hurricane creating surf on an Atlantic Storm Beach: alien forces that mutate and re-form these places screaming into new, unclear and unintended futures.

And this future is clear: the future is urban. In this small rural country, motorways as tissue have made the whole of it: countryside, mountain, sea and town, into one singular, homogenous and hyper-connected, generic city.

Goodbye, place. Hello, surface!

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Context: The stellar population of the 30 Doradus star-forming region in the Large Magellanic Cloud contains a subset of apparently single, rapidly rotating O-type stars. The physical processes leading to the formation of this cohort are currently uncertain. 

Aims: One member of this group, the late O-type star VFTS 399, is found to be unexpectedly X-ray bright for its bolometric luminosity-in this study we aim to determine its physical nature and the cause of this behaviour. 

Methods: To accomplish this we performed a time-resolved analysis of optical, infrared and X-ray observations. 

Results: We found VFTS 399 to be an aperiodic photometric variable with an apparent near-IR excess. Its optical spectrum demonstrates complex emission profiles in the lower Balmer series and select He i lines-taken together these suggest an OeBe classification. The highly variable X-ray luminosity is too great to be produced by a single star, while the hard, non-thermal nature suggests the presence of an accreting relativistic companion. Finally, the detection of periodic modulation of the X-ray lightcurve is most naturally explained under the assumption that the accretor is a neutron star. 

Conclusions: VFTS 399 appears to be the first high-mass X-ray binary identified within 30 Dor, sharing many observational characteristics with classical Be X-ray binaries. Comparison of the current properties of VFTS 399 to binary-evolution models suggests a progenitor mass 25 M for the putative neutron star, which may host a magnetic field comparable in strength to those of magnetars. VFTS 399 is now the second member of the cohort of rapidly rotating "single" O-type stars in 30 Dor to show evidence of binary interaction resulting in spin-up, suggesting that this may be a viable evolutionary pathway for the formation of a subset of this stellar population.

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Recently, Bès, Martin, and Sanders [11] provided examples of disjoint hypercyclic operators which fail to satisfy the Disjoint Hypercyclicity Criterion. However, their operators also fail to be disjoint weakly mixing. We show that every separable, infinite dimensional Banach space admits operators T1,T2,…,TN with N⩾2 which are disjoint weakly mixing, and still fail to satisfy the Disjoint Hypercyclicity Criterion, answering a question posed in [11]. Moreover, we provide examples of disjoint hypercyclic operators T1, T2 whose corresponding set of disjoint hypercyclic vectors is nowhere dense, answering another question posed in [11]. In fact, we explicitly describe their set of disjoint hypercyclic vectors. Those same disjoint hypercyclic operators fail to be disjoint topologically transitive. Lastly, we create examples of two families of d-hypercyclic operators which fail to have any d-hypercyclic vectors in common.