The use of computer-aided design techniques in dynamic graphical simulation

Imperial Users onl

Twisted Mahler discrete residues

Recently we constructed Mahler discrete residues for rational functions and showed they comprise a complete obstruction to the Mahler summability problem of deciding whether a given rational function $f(x)$ is of the form $g(x^p)-g(x)$ for some rational function $g(x)$ and an integer $p > 1$. Here we develop a notion of $\lambda$-twisted Mahler discrete residues for $\lambda\in\mathbb{Z}$, and show that they similarly comprise a complete obstruction to the twisted Mahler summability problem of deciding whether a given rational function $f(x)$ is of the form $p^\lambda g(x^p)-g(x)$ for some rational function $g(x)$ and an integer $p>1$. We provide some initial applications of twisted Mahler discrete residues to differential creative telescoping problems for Mahler functions and to the differential Galois theory of linear Mahler equations

Defective transport properties of three-terminal carbon nanotube junctions

We investigate the transport properties of three terminal carbon based nanojunctions within the scattering matrix approach. The stability of such junctions is subordinated to the presence of nonhexagonal arrangements in the molecular network. Such "defective" arrangements do influence the resulting quantum transport observables, as a consequence of the possibility of acting as pinning centers of the correspondent wavefunction. By investigating a fairly wide class of junctions we have found regular mutual dependencies between such localized states at the carbon network and a strikingly behavior of the conductance. In particular, we have shown that Fano resonances emerge as a natural result of the interference between defective states and the extended continuum background. As a consequence, the currents through the junctions hitting these resonant states might experience variations on a relevant scale with current modulations of up to 75%.Comment: 8 pages, 8 figure

Estabilidad de varios tipos de comunidad en ecosistemas de dunas en el noreste de China

The stability of artificial, sand-binding communities has not yet fully studied. A similarity index was developed to evaluate the stability of artificial communities in shifting and semi-fixed sand dunes. This similarity index consisted of 8 indicators (i.e., vegetation cover, Shannon-Wiener Index, biomass, organic matter, Total N, available P and K, and sand particle ratio). The relative weight of these indicators was obtained using an analytic hierarchy process (AHP) method. Stability was compared on Artemisia halodendron Turczaninow ex Besser, Bull communities in shifting and semifixed sand dunes, and of Caragana microphylla Lam. communities with different planting ages. The similarity indexes of the A. halodendron communities were 0.24 and 0.54 in shifting and semi-fixed sand dunes, respectively. The peak stability of C. microphylla communities was 0.55, and it was reached when these communities were 20-year-old. It is suggested that A. halodendron communities should be planted preferentially in semi-fixed to moving sand dunes. Furthermore, the planting age of artificial communities should be included in planting programs. This study improved the understanding of some mechanisms contributing to maintain community stability, and is critical for guiding the artificial planting in sand dunes.La estabilidad de comunidades artificiales que contribuyen a la fijación de suelos arenosos no se ha estudiado completamente. Se desarrolló un índice de similitud para evaluar la estabilidad de comunidades artificiales en dunas móviles y fijadas medianamente. Este índice de similitud consistió de 8 indicadores (cobertura vegetal, índice de Shannon-Wiener, biomasa, materia orgánica, N total, P y K disponibles, y relación de partículas de arena). La importancia relativa de estos indicadores se obtuvo utilizando un método de procesamiento jerárquico analítico (AHP). Se comparó la estabilidad de comunidades de Artemisia halodendron Turczaninow ex Besser, Bull en dunas móviles y fijadas medianamente, y la de comunidades de Caragana microphylla Lam. de diferentes edades de plantación. Los índices de similitud de las comunidades de A. halodendron fueron 0,24 y 0,54 en dunas móviles y fijadas medianamente, respectivamente. La estabilidad máxima de las comunidades de C. microphylla fue 0,55, la que se obtuvo cuando dichas comunidades alcanzaron 20 años de edad. Se sugiere que las comunidades de A. halodendron se deberían plantar preferencialmente en dunas fijadas medianamente a móviles. Además, la edad de plantación de las comunidades artificiales se debería incluir en programas de plantación. Este estudio mejoró el entendimiento de algunos mecanismos que contribuyen a mantener la estabilidad de las comunidades, y es crítico para guiar la plantación artificial en áreas de dunas.Fil: Tang, Yi.Fil: Li, Xiaolan.Fil: Wu, Jinhua.Fil: Busso, Carlos Alberto

Enhanced discrimination of DNA molecules in nanofluidic channels through multiple measurements

Author Manuscript 2013 March 21.Nanofluidic sensing elements have been the focus of recent experiments for numerous applications ranging from nucleic acid fragment sizing to single-molecule DNA sequencing. These applications critically rely on high measurement fidelity, and methods to increase resolution are required. Herein, we describe fabrication and testing of a nanochannel device that enhances measurement resolution by performing multiple measurements (>100) on single DNA molecules. The enhanced measurement resolution enabled length discrimination between a mixture of λ-DNA (48.5 kbp) and T7 DNA (39.9 kbp) molecules, which were detected as transient current changes during translocation of the molecules through the nanochannel. As long DNA molecules are difficult to resolve quickly and with high fidelity with conventional electrophoresis, this approach may yield potentially portable, direct electrical sizing of DNA fragments with high sensitivity and resolution.National Institutes of Health (U.S.) (Grant R21EB009180)United States. Air Force (Contract FA8721-05-C- 0002

Measuring valley polarization in two-dimensional materials with second-harmonic spectroscopy

A population imbalance at different valleys of an electronic system lowers its effective rotational symmetry. We introduce a technique to measure such imbalance - a valley polarization - that exploits the unique fingerprints of this symmetry reduction in the polarization-dependent second-harmonic generation (SHG). We present the principle and detection scheme in the context of hexagonal two-dimensional crystals, which include graphene-based systems and the family of transition metal dichalcogenides, and provide a direct experimental demonstration using a 2H-MoSe$_{2}$ monolayer at room temperature. We deliberately use the simplest possible setup, where a single pulsed laser beam simultaneously controls the valley imbalance and tracks the SHG process. We further developed a model of the transient population dynamics which analytically describes the valley-induced SHG rotation in very good agreement with the experiment. In addition to providing the first experimental demonstration of the effect, this work establishes a conceptually simple, com-pact and transferable way of measuring instantaneous valley polarization, with direct applicability in the nascent field of valleytronics

A use error taxonomy for improving human-machine interface design in medical devices

Use error is one of the leading causes of medical device incidents. It is crucial for all stakeholders to have a unified means to better understand, classify, communicate, and prevent/avoid medical device use errors. In this paper, we present our ongoing work on developing a new use error taxonomy for medical devices that has the potential to enable fine-grained analysis of use errors and their root causes in system design. Our ultimate goal is to create a generic framework that can be used by medical device designers to better identify effective design solutions to mitigating use errors.Paolo Masci is funded by the ERDF (European Regional De-velopment Fund) through the Operational Programme for Compet-itiveness and Internationalisation – COMPETE 2020 Programmewithin the project POCI-01-0145-FEDER-006961, and by NationalFunds through the Portuguese funding agency FCT (Fundação paraa Ciência e a Tecnologia) as part of project UID/EEA/50014/2013. José C. Campos is funded by project NanoSTIMA: Macro-to-NanoHuman Sensing: Towards Integrated Multimodal Health Monitor-ing and Analytics/NORTE-01-0145-FEDER-000016, financed bythe North Portugal Regional Operational Programme NORTE 2020,under the PORTUGAL 2020 Partnership Agreement, and through the European Regional Development Fund (ERDF)