83 research outputs found

    Lectotypification of Fimbristylis tenera (Cyperaceae)

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    Halder, Suman, Kumar, Anant, Dey, Sangita, Venu, Potharaju (2014): Lectotypification of Fimbristylis tenera (Cyperaceae). Phytotaxa 188 (5): 287-291, DOI: 10.11646/phytotaxa.188.5.7, URL: http://dx.doi.org/10.11646/phytotaxa.188.5.

    FIGURE 1 in Lectotypification of Fimbristylis tenera (Cyperaceae)

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    FIGURE 1. Roxburgh's Handwiriting. a. Inscription present on Geneva herbarium sheet (G00309005); b. Inscription present on Edinburgh herbarium sheet; c. Specimen handwriting of Roxburgh after Forman (1997).Published as part of Halder, Suman, Kumar, Anant, Dey, Sangita & Venu, Potharaju, 2014, Lectotypification of Fimbristylis tenera (Cyperaceae), pp. 287-291 in Phytotaxa 188 (5) on page 288, DOI: 10.11646/phytotaxa.188.5.7, http://zenodo.org/record/514753

    FIGURE 3 in Lectotypification of Fimbristylis tenera (Cyperaceae)

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    FIGURE 3. Roxburgh's Icon of Fimbristylis tenera [Royal Botanic Gardens, Kew (2006). Roxbugh's Flora Indica. Published on the Internet: http://www.kew.org/flora indica/[accessed 1st December 2014:11.45 GMT]Published as part of Halder, Suman, Kumar, Anant, Dey, Sangita & Venu, Potharaju, 2014, Lectotypification of Fimbristylis tenera (Cyperaceae), pp. 287-291 in Phytotaxa 188 (5) on page 290, DOI: 10.11646/phytotaxa.188.5.7, http://zenodo.org/record/514753

    Multifunctional Interpenetrated 3D Supramolecular Structure Based on 1D Coordination Polymers: Selective Adsorption, Magnetism, Optical Property, Theoretical Analysis, and Electrical Conductivity

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    A paddle-wheel-based multifunctional 1D coordination polymer (CP) {[Cu 2 (4-Cl-Bz) 4 (4,4′-bipy)](DMF) 2 } n (where 4-Cl-BzH = 4-chlorobenzoic acid, 4,4′-bipy = 4,4′-bipyridine, and DMF = dimethylformamide), (complex 1) have been synthesized via the solvothermal method and characterized by single-crystal X-ray diffraction analysis along with other spectroscopic studies. Structural analysis shows that 1 crystallizes in the tetragonal P4 /ncc space group and 1D coordination chains are formed by connecting [Cu 2 (4-Cl-Bz) 4 ] paddle wheel units using 4,4′-bipy moieties along the crystallographic c axis. These 1D coordination chains are assembled to each other through weak π···π interactions to form interpenetrated 3D supramolecular structure, forming channels along the [1 1 0] and [−1 1 0] direction hosting DMF molecules. Hirshfeld surface analysis and corresponding 2D fingerprint plots indicate that π···π interaction is the major interaction among the coordination chains. Thermal analysis shows that guest DMF molecules are released within the temperature range of 70−150 °C and powder X-ray diffraction (PXRD) analysis reveals the quenching of the void space after removal of the solvent molecules. The desolvated framework selectively adsorbs CO 2 over N 2 . The magneto-luminescent behavior of the framework has also been studied. This π-induced 3D supramolecular complex shows semiconducting behavior and conductivity increases upon desolvation

    Probabilistic Methods for Model Validation

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    This dissertation develops a probabilistic method for validation and verification (V&V) of uncertain nonlinear systems. Existing systems-control literature on model and controller V&V either deal with linear systems with norm-bounded uncertainties,or consider nonlinear systems in set-based and moment based framework. These existing methods deal with model invalidation or falsification, rather than assessing the quality of a model with respect to measured data. In this dissertation, an axiomatic framework for model validation is proposed in probabilistically relaxed sense, that instead of simply invalidating a model, seeks to quantify the "degree of validation". To develop this framework, novel algorithms for uncertainty propagation have been proposed for both deterministic and stochastic nonlinear systems in continuous time. For the deterministic flow, we compute the time-varying joint probability density functions over the state space, by solving the Liouville equation via method-of-characteristics. For the stochastic flow, we propose an approximation algorithm that combines the method-of-characteristics solution of Liouville equation with the Karhunen-Lo eve expansion of process noise, thus enabling an indirect solution of Fokker-Planck equation, governing the evolution of joint probability density functions. The efficacy of these algorithms are demonstrated for risk assessment in Mars entry-descent-landing, and for nonlinear estimation. Next, the V&V problem is formulated in terms of Monge-Kantorovich optimal transport, naturally giving rise to a metric, called Wasserstein metric, on the space of probability densities. It is shown that the resulting computation leads to solving a linear program at each time of measurement availability, and computational complexity results for the same are derived. Probabilistic guarantees in average and worst case sense, are given for the validation oracle resulting from the proposed method. The framework is demonstrated for nonlinear robustness veri cation of F-16 flight controllers, subject to probabilistic uncertainties. Frequency domain interpretations for the proposed framework are derived for linear systems, and its connections with existing nonlinear model validation methods are pointed out. In particular, we show that the asymptotic Wasserstein gap between two single-output linear time invariant systems excited by Gaussian white noise, is the difference between their average gains, up to a scaling by the strength of the input noise. A geometric interpretation of this result allows us to propose an intrinsic normalization of the Wasserstein gap, which in turn allows us to compare it with classical systems-theoretic metrics like v-gap. Next, it is shown that the optimal transport map can be used to automatically refine the model. This model refinement formulation leads to solving a non-smooth convex optimization problem. Examples are given to demonstrate how proximal operator splitting based computation enables numerically solving the same. This method is applied for nite-time feedback control of probability density functions, and for data driven modeling of dynamical systems
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