91,146 research outputs found

    Factoring block Fiedler Companion Matrices

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    When Fiedler published his “A note on Companion matrices” in 2003 on Linear Algebra and its Applications, he could not have foreseen the significance of this elegant factorization of a companion matrix into essentially two-by-two Gaussian transformations, which we will name (scalar) elementary Fiedler factors. Since then, researchers extended these results and studied the various resulting linearizations, the stability of Fiedler companion matrices, factorizations of block companion matrices, Fiedler pencils, and even looked at extensions to non-monomial bases. In this chapter, we introduce a new way to factor block Fiedler companion matrices into the product of scalar elementary Fiedler factors. We use this theory to prove that, e.g. a block (Fiedler) companion matrix can always be written as the product of several scalar (Fiedler) companion matrices. We demonstrate that this factorization in terms of elementary Fiedler factors can be used to construct new linearizations. Some linearizations have notable properties, such as low bandwidth, or allow for factoring the coefficient matrices into unitary-plus-low-rank matrices. Moreover, we will provide bounds on the low-rank parts of the resulting unitary-plus-low-rank decomposition. To present these results in an easy-to-understand manner, we rely on the flow-graph representation for Fiedler matrices recently proposed by Del Corso and Poloni in Linear Algebra and its Applications, 2017

    Factoring block Fiedler Companion Matrices

    No full text
    When Fiedler published his “A note on Companion matrices” in 2003 in Linear Algebra and its Applications, he could not have foreseen the significance of this elegant factorization of a companion matrix into essentially two-by-two Gaus- sian transformations, which we will name (scalar) elementary Fiedler factors. Since then, researchers extended these results and studied the various resulting lineariza- tions, the stability of Fiedler companion matrices, factorizations of block companion matrices, Fiedler pencils, and even looked at extensions to non-monomial bases. In this chapter, we introduce a new way to factor block Fiedler companion matrices into the product of scalar elementary Fiedler factors. We use this theory to prove that, e.g., a block (Fiedler) companion matrix can always be written as the product of several scalar (Fiedler) companion matrices. We demonstrate that this factoriza- tion in terms of elementary Fiedler factors can be used to construct new lineariza- tions. Some linearizations have notable properties, such as low band-width, or allow for factoring the coefficient matrices into unitary-plus-low-rank matrices. Moreover, we will provide bounds on the low-rank parts of the resulting unitary-plus-low-rank decomposition. To present these results in an easy-to-understand manner we rely on the flow-graph representation for Fiedler matrices recently proposed by Del Corso and Poloni in Linear Algebra and its Applications, 2017.status: Publishe

    PORCINE GLANDULAR KALLIKREINS

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    FIEDLER F, FINK E, Tschesche H, FRITZ H. PORCINE GLANDULAR KALLIKREINS. METHODS IN ENZYMOLOGY. 1981;80:493-532

    Latitudinal differentiated water table control of carbon dioxide, methane and nitrous oxide fluxes from hydromorphic soils: feedbacks to climate change

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    The possibility of carbon (C) being locked away from the atmosphere for millennia is given in hydromorphic soils. However, the water-table-dependent feedback from soil organic matter (SOM) decomposition to the climate system is less clear. At least three greenhouse gases are produced: carbon dioxide (CO2), methane (CH4) and nitrous oxide (N2O). These gases show emission peaks at different water table positions and have different global warming potentials (GWP), for example a factor of 23 for CH4 and 296 for N2O as compared with the equivalent mass of CO2 on a 100-year time horizon. This review of available annual data on all three gases revealed that the radiative forcing effect of SOM decomposition is principally dictated by CO2 despite its low GWP. Anaerobic SOM decomposition generally has a lower potential feedback to the climatic system than aerobic SOM decomposition. Concrete values are constrained by a lack of data from tropical and subarctic regions. Furthermore, data on N2O and on plant effects are generally rare. However, there is a clear latitudinal differentiation for the GWP of soils under anaerobic conditions compared with aerobic conditions when looking at CO2 and CH4: in the tropical and temperate regions, the anaerobic GWP showed a range of 25-60% of the aerobic value, but values varied between 80% and 110% in the boreal zone. Hence, particularly in the vulnerable boreal zone, the feedback from ecosystems to climate change will highly depend on plant responses to changing water tables at elevated temperatures

    Effects of communication goals and expectancies on language abstraction.

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    Language abstraction is an important aspect of the description of behavioral events (G.R. Semin & K. Fiedler, 1988) that is typically viewed as a medium by which describers transmit beliefs without conscious awareness or control. Complementary to this view, the authors propose that language abstraction may also be influenced by explicit communication goals such as aggrandizement or derogation, allowing describers to express beliefs that they do not themselves possess. Five studies are reported that support this proposal, showing that explicit communication goals have strong effects on language abstraction that are independent of effects of describers' beliefs or expectancies. Language abstraction is therefore both a medium for the transmission of existing beliefs and a tool by which communicators can create new belief

    Lysmata lipkei Okuno & Fiedler 2010

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    Lysmata lipkei Okuno & Fiedler, 2010 (Figures 10–12) Lysmata lipkei Okuno & Fiedler 2010: 599, figs. 1–4. Material examined. Brazil, Ceará: 1 hermaphrodite, MZUSP 29791, Camocim, Praia do Farol do Trapiá, rocky intertidal, under large rock, coll. P.P.G. Pachelle & C.B. Mendes, 08.iv. 2012 [fcn PP 12 -083]; 1 hermaphrodite, OUMNH.ZC. 2012 - 10 -0025, same collection data [fcn PP 12 -083]; 1 ov. hermaphrodite, OUMNH.ZC. 2015 -04- 0 15, same collection data [fcn PP 12 -083]; 4 hermaphrodites, 1 ov. hermaphrodite, MZUSP 33744, Icapuí, Praia de Ponta Grossa, rocky intertidal, under rocks in tide pools, coll. C.B. Mendes et al., 09.ix. 2014. Additional material. Brazil, Rio Grande do Norte: 1 hermaphrodite, MZUSP 29788, Areia Branca, Praia de Baixa Grande, 04° 55 ’ 45 ’’S 37 °05’06’’W, rocky intertidal, under rocks in tide pools, coll. P.P.G. Pachelle, 23.vii. 2013 [fcn PP 13 -021]; 1 ov. hermaphrodite, MZUSP 29789, same collection data [fcn PP 13 -022]; 1 hermaphrodite, MZUSP 29790, same collection data [fcn PP 13 -023]. Comparative material. Lysmata lipkei Okuno & Fiedler 2010. Japan: paratype, ov. hermaphrodite, OUMNH.ZC. 2010 -09-0001, Okinawa Island, off Motobu Peninsula, Sesoko Island, 26 º38.2'N 127 º52.0'E, depth 1–2 m, coll. G.C. Fiedler, 05.ix. 2001; 1 ov. hermaphrodite, OUMNH.ZC. 2011 -02-0043, Kume-Jima, Ebi-ana, 26 º 17.547 ’N 126 º 47.771 ’E, depth 10 m, coll. Y. Fujita, 13.xi. 2009. Distribution. Western Pacific: Japan (Boso Peninsula, Okinawa, Tokashiki-jima, and Kumejima) (Okuno & Fiedler 2010; De Grave et al. 2012); probably introduced to southwestern Atlantic: Brazil (Ceará, Rio Grande do Norte) (present study, see remarks below). Remarks. The material identified here as Lysmata lipkei can be separated from all other Brazilian / Atlantic species of Lysmata by the combination of the following morphological characters: (1) lateral antennular flagellum with the accessory branch bearing only one free article; (2) pterygostomial angle of the carapace produced into a small sharp tooth; (3) carpus of the second pereiopod subdivided into 29–32 joints (Fig. 10 C, F, J, K). The specimens from Ceará are morphologically undistinguishable from L. lipkei Okuno & Fiedler 2010 from southern Japan, a species nearly identical and possibly synonymous (see below) with L. dispar Hayashi, 2007 from western Australia (Hayashi 2007; Okuno & Fiedler 2010). According to Okuno & Fiedler (2010), L. lipkei is distinguishable from L. dispar by the “account of the length and form of the rostrum” (i.e. reaching the distal margin of the second article of the antennular peduncle and straight in L. lipkei vs. reaching distal margin of the first article and with slightly convex dorsal margin in L. dispar); the “armature of the antennular peduncle” (i.e. with a minute spinule on the third article in L. lipkei vs. without such a spinule in L. dispar); and the “articulation of the ischium of the second pereiopod” (i.e. with barely visible articles in L. lipkei vs. with clearly visible ones in L. dispar). The Brazilian specimens have a straight, not particularly curved rostrum, which is typically reaching at least to the middle of the second article of the antennular peduncle (Fig. 10 A, B), as in L. lipkei. The articulations on the second pereiopod ischium are clearly visible (Fig. 10 J, K), as in L. dispar. All Brazilian specimens also have a minute spiniform seta on the third article of the antennular peduncle, a presumed differential character between L. lipkei and L. dispar. The most-posterior tooth on the mid-line of the carapace has been figured with a well-marked articulation for both L. dispar and L. lipkei (cf. Hayashi 2007: fig. 2 a, b; Okuno & Fiedler 2010: fig. 1 C). However, in the Brazilian material and in the examined paratype of L. lipkei, this tooth appears to be fixed or may have at most a feeble articulation in its posterior half (Fig. 10 B). The carpi of the third and fourth pereiopods are furnished with small spiniform setae in all Brazilian specimens examined (Fig. 11 A, C). These setae were not illustrated or mentioned by Okuno & Fiedler (2010) in L. lipkei, but were confirmed to be present by examination of the paratype deposited in the OUMNH. Remarkably, the Brazilian specimens match the type specimens of L. lipkei in all details of the colour pattern (cf. Fig. 12 and Okuno & Fiedler 2010: fig. 4); the colour pattern of L. dispar remains unknown. Based on the absence of clear morphological differences between the Ceará material and the type material of L. lipkei from Japan, as well as great similarities in their colour patterns, the Brazilian specimens are tentatively assigned to L. lipkei. Due to the ambiguity and subtleness of characters used by Okuno & Fielder (2010) to separate L. lipkei from L. dispar, a possibility that L. lipkei may represent a junior synonym of L. dispar has to be seriously considered. However, a decision on the taxonomic status of L. lipkei is beyond the scope of the present study. The Brazilian material of L. lipkei may represent the second record of a presumably non-indigenous species of Lysmata Risso, 1816 in Brazil and the southwestern Atlantic. Lysmata vittata (Stimpson, 1860) was the first species of Lysmata reported as invasive in Brazil, after synonymization of L. rauli Laubenheimer & Rhyne, 2010, by Soledade et al. (2013). However, since the taxonomic identity of L. vittata remains unsettled, the identity of the Brazilian material reported as L. vittata by Soledade et al. (2013) also remains uncertain. Thus, both species of Lysmata supposed to be invasive on the Brazilian coast, viz. L. lipkei and L. vittata sensu Soledade et al. (2013), will need to be genetically compared to reliably identified Indo-West Pacific specimens of L. lipkei, L. dispar and L. vittata, respectively.Published as part of Pachelle, Paulo P. G., Anker, Arthur, Mendes, Cecili B. & Bezerra, Luis E. A., 2016, Decapod crustaceans from the state of Ceará, northeastern Brazil: an updated checklist of marine and estuarine species, with 23 new records, pp. 1-63 in Zootaxa 4131 (1) on pages 17-19, DOI: 10.11646/zootaxa.4131.1.1, http://zenodo.org/record/40029

    A higher-order approach to the mechanical behaviour of shear-deformable composite laminated plates

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    A general two-dimensional higher-order theory describing the mechanical behavior of multi-layered composite plates with arbitrary lamination scheme is proposed. The displacement field is expanded in the thickness direction in a complete polynomial series with arbitrary degree and the unknown series coefficients are expressed, according to the Ritz-Galerkin method, as a superposition of admissible functions. The elastic and geometric stiffness matrices and the mass matrix are obtained from the potential and kinetic energy functionals. The equations governing the elastic static deformation, the buckling and vibration behaviour are derived. The onset of the Eulerian instability, caused by an in-plane uni-axial compressive force, is ascertained determining the load multiplier leading to vanishing of one of the the eigenvalues of the plate stiffness. The instability is also assessed as a divergence bifurcation for the linear vibration problem. For accuracy assessment of the theory, a 16-layer generally oriented laminate with a technically relevant lamination scheme is investigated for the case of elastic static deflection under a tranverse pressure load. The associated deformation and stress results are compared with those obtained by FE calculation. The buckling behavior and associated phenomena are further investigated for several cross- and angle-ply generally oriented laminates. An in-depth investigation is presented on the phenomena of modification of the fundamental buckling mode shape from a symmetric into a skew-symmetric configuration due to variation of the ply orientation angles. Conclusions are drawn towards selection of optimal orientation schemes for moderately thick laminates with respect to the critical buckling load

    pH-sensitive spontaneous decay of functionalized carbon dots in solutions

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    Carbon quantum dots have become attractive in various applications, such as drug delivery, biological sensing, photocatalysis, and solar cells. Among these, pH sensing via luminescence lifetime measurements of surface-functionalized carbon dots is one application currently investigated for their long lifetime and autonomous operation. In this article, we explore the theoretical connection between excitation lifetimes and the pH value of the surrounding liquid via the protonation and deprotonation of functional groups. Example calculations applied to m-phenylenediamine, phloroglucinol, and tethered disperse blue 1 are shown by applying a separation approach treating the electronic wave function of functional groups separately from the internal electronic structure of the (large) carbon dot. The bulk of the carbon dot is treated as an environment characterized by its optical spectrum that shifts the transition rates of the functional group. A simple relationship between pH, pKa, and mixed fluorescence lifetime is derived from the transition rates of the protonated and deprotonated states. pH sensitivity improves when the difference in the transition rates is greatest between protonated and deprotonated species, with the greatest sensitivity found where the pKa is close to the pH region of interest. The introduced model can directly be extended to consider multicomponent liquids and multiple protonation states
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