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See detailUnits in some parametric families of quartic fields
Leprévost, Franck UL; Pohst, Michael; Schöpp, Andreas

in Acta Arithmetica (2007), 127(3), 205-216

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See detailUnits-first or tens-first: Does language matter when processing visually presented two-digit numbers?
Poncin, Alexandre; Van Rinsveld, Amandine; Schiltz, Christine UL

in Quarterly journal of experimental psychology (2006) (2020), 73(5), 726-738

The linguistic structure of number words can influence performance in basic numerical tasks such as mental calculation, magnitude comparison, and transcoding. Especially the presence of ten-unit inversion ... [more ▼]

The linguistic structure of number words can influence performance in basic numerical tasks such as mental calculation, magnitude comparison, and transcoding. Especially the presence of ten-unit inversion in number words seems to affect number processing. Thus, at the beginning of formal math education, young children speaking inverted languages tend to make relatively more errors in transcoding. However, it remains unknown whether and how inversion affects transcoding in older children and adults. Here we addressed this question by assessing two-digit number transcoding in adults and fourth graders speaking French and German, that is, using non-inverted and inverted number words, respectively. We developed a novel transcoding paradigm during which participants listened to two-digit numbers and identified the heard number among four Arabic numbers. Critically, the order of appearance of units and tens in Arabic numbers was manipulated mimicking the "units-first" and "tens-first" order of German and French. In a third "simultaneous" condition, tens and units appeared at the same time in an ecological manner. Although language did not affect overall transcoding speed in adults, we observed that German-speaking fourth graders were globally slower than their French-speaking peers, including in the "simultaneous" condition. Moreover, French-speaking children were faster in transcoding when the order of digit appearance was congruent with their number-word system (i.e., "tens-first" condition) while German-speaking children appeared to be similarly fast in the "units-first" and "tens-first" conditions. These findings indicate that inverted languages still impose a cognitive cost on number transcoding in fourth graders, which seems to disappear by adulthood. They underline the importance of language in numerical cognition and suggest that language should be taken into account during mathematics education. [less ▲]

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See detailUnity and disunity among central bankers in an asymmetric Economic and Monetary Union
Howarth, David UL

in Hayward, Jack; Würzel, Rudi (Eds.) European Disunion: The Multidimensional Power Struggles (2012)

ECB monetary policy making was designed to disguise real, and to counter imagined, disunity within the bank itself, and among its component national central banks (NCBs) and their governors. The unity of ... [more ▼]

ECB monetary policy making was designed to disguise real, and to counter imagined, disunity within the bank itself, and among its component national central banks (NCBs) and their governors. The unity of the Eurosystem of central banks and the appearance of unity depended upon the assumption that central bankers keenly supported the German model – which they endorsed in the Delors Report on EMU in 1989. However, several features of the ECB undermined its unity and reputation for impartiality even prior to the start of EMU: notably, the greater representation of individuals from larger member states in the Governing Council. Crucially, though, the potential for disunity is in the Maastricht Treaty (Treaty on European Union) and the asymmetrical design of EMU. Euro area economic governance was insufficiently developed and, notably, fiscal policy rules were inadequately clarified and enforced. Similarly, in the Treaty, the responsibilities of the ECB to promote financial stability were left imprecise. Notably, due to central banker fears on the monetisation of debt, the ECB was not assigned the typical central bank function of ‘lender of last resort’. The disunity in the Eurosystem of central banks that erupted during the sovereign debt crisis from late 2009, demonstrated that unity relied on consensus around German and notably Bundesbank preferences. Disunity stemmed above all from the absence of a road map for ECB policy making in a context of severe existentialist crisis. [less ▲]

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See detailUniversal (Meta-)Logical Reasoning: Recent Successes
Benzmüller, Christoph UL

in Science of Computer Programming (2018)

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is suitable as a foundation for the development of a ... [more ▼]

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is suitable as a foundation for the development of a universal logical reasoning engine. Such an engine may be employed, as already envisioned by Leibniz, to support the rigorous formalisation and deep logical analysis of rational arguments on the computer. A respective universal logical reasoning framework is described in this article and a range of successful first applications in philosophy, artificial intelligence and mathematics are surveyed. [less ▲]

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See detailUniversal (Meta-)Logical Reasoning: The Wise Men Puzzle (Isabelle/HOL Dataset)
Benzmüller, Christoph UL

in Data in Brief (2019), 24(103823), 1--5

The authors universal (meta-)logical reasoning approach is demonstrated and assessed with a prominent riddle in epistemic reasoning: the Wise Men Puzzle. The presented solution puts a particular emphasis ... [more ▼]

The authors universal (meta-)logical reasoning approach is demonstrated and assessed with a prominent riddle in epistemic reasoning: the Wise Men Puzzle. The presented solution puts a particular emphasis on the adequate modeling of common knowledge and it illustrates the elegance and the practical relevance of the shallow semantical embedding approach when utilized within modern proof assistant systems such as Isabelle/HOL. The contributed dataset provides supporting evidence for claims made in the article “Universal (meta-)logical reasoning: Recent successes” (Benzmüller, 2019). [less ▲]

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See detailUniversal Design University: Removing Barriers and Enhancing Accessibility
Powell, Justin J W UL

in Simons, Maarten; Decuypere, Mathias; Vlieghe, Joris (Eds.) et al Curating the European University. Exposition and Public Debate (2011)

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See detailUniversal distribution of limit points
Meyrath, Thierry UL; Niess, Markus

in Acta Mathematica Hungarica (2011), 133(3), 288-303

We consider sequences of functions that have in some sense a universal distribution of limit points of zeros in the complex plane. In particular, we prove that functions having universal approximation ... [more ▼]

We consider sequences of functions that have in some sense a universal distribution of limit points of zeros in the complex plane. In particular, we prove that functions having universal approximation properties on compact sets with connected complement automatically have such a universal distribution of limit points. Moreover, in the case of sequences of derivatives, we show connections between this kind of universality and some rather old results of Edrei/MacLane and Pólya. Finally, we show the lineability of the set of what we call Jentzsch-universal power series. [less ▲]

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See detailUniversal families of extensions of coherent systems
Tommasini, Matteo UL

E-print/Working paper (2013)

We prove a result of cohomology and base change for families of coherent systems over a curve. We use that in order to prove the existence of (non-split, non-degenerate) universal families of extensions ... [more ▼]

We prove a result of cohomology and base change for families of coherent systems over a curve. We use that in order to prove the existence of (non-split, non-degenerate) universal families of extensions for families of coherent systems (in the spirit of the paper "Universal families of extensions" by H. Lange). Such results will be applied in subsequent papers in order to describe the wallcrossing for some moduli spaces of coherent systems. [less ▲]

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See detailUniversal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs
Nourdin, Ivan UL; Peccati, Giovanni UL

in Latin American Journal of Probability and Mathematical Statistics (2010), 7

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See detailUniversal Gaussian fluctuations on the discrete Poisson chaos
Peccati, Giovanni UL; Zheng, Cengbo

in Bernoulli (2014), 20(2), 697-715

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See detailUniversal Hall conductance scaling in non-Hermitian Chern insulators
Groenendijk, Solofo; Schmidt, Thomas UL; Meng, Tobias

in Physical Review Research (2021)

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently ... [more ▼]

We investigate the Hall conductance of a two-dimensional Chern insulator coupled to an environment causing gain and loss. Introducing a biorthogonal linear response theory, we show that sufficiently strong gain and loss lead to a characteristic nonanalytical contribution to the Hall conductance. Near its onset, this contribution exhibits a universal power law with a power 3/2 as a function of Dirac mass, chemical potential, and gain strength. Our results pave the way for the study of non-Hermitian topology in fermionic transport experiments. [less ▲]

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See detailUniversal Hall conductance scaling in non-Hermitian Chern insulators
Groenendijk, Solofo UL; Schmidt, Thomas UL; Meng, Tobias

E-print/Working paper (2020)

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See detailUniversal health coverage: an urgent need for collaborative learning and technology in primary care
Patel, Kunal D.; Mcloughlin, Clodagh; Lygidakis, Charilaos UL et al

in Education for Primary Care (2017)

Universal health coverage is an achievable goal for all health professionals globally. However, for it to be implemented technology and collaboration are essential. This letter focuses on recently ... [more ▼]

Universal health coverage is an achievable goal for all health professionals globally. However, for it to be implemented technology and collaboration are essential. This letter focuses on recently published recommendations for technology in primary care education in respect to Universal Health Coverage. [less ▲]

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See detailUniversal Intelligent Small Cell for Next Generation Cellular Networks
Patwary, M.; Sharma, Shree Krishna UL; Chatzinotas, Symeon UL et al

in Digital Communications and Networks (2016), 2(4), 167174

Exploring innovative cellular architectures to achieve enhanced system capacity and good coverage has become a critical issue towards realizing the next generation of wireless communications. In this ... [more ▼]

Exploring innovative cellular architectures to achieve enhanced system capacity and good coverage has become a critical issue towards realizing the next generation of wireless communications. In this context, this paper proposes a novel concept of Universal Intelligent Small Cell (UnISCell) for enabling the densification of the next generation of cellular networks. The proposed novel concept envisions an integrated platform of providing a strong linkage between different stakeholders such as street lighting networks, landline telephone networks and future wireless networks, and is universal in nature being independent of the operating frequency bands and traffic types. The main motivating factors for the proposed small cell concept are the need of public infrastructure re-engineering, and the recent advances in several enabling technologies. First, we highlight the main concepts of the proposed UnISCell platform. Subsequently, we present two deployment scenarios for the proposed UnISCell concept considering infrastructure sharing and service sharing as important aspects. We then describe the key future technologies for enabling the proposed UnISCell concept and present a use case example with the help of numerical results. Finally, we conclude this article by providing some interesting future recommendations. [less ▲]

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See detailUniversal meromorphic approximation on Vitushkin sets
Luh, Wolfgang; Meyrath, Thierry UL; Niess, Markus

in Journal of Contemporary Mathematical Analysis (2008), 43(6), 365-371

The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence {λ_n} ⊂ \C, there exists a function φ, meromorphic on \C, with the following property. For every ... [more ▼]

The paper proves the following result on universal meromorphic approximation: Given any unbounded sequence {λ_n} ⊂ \C, there exists a function φ, meromorphic on \C, with the following property. For every compact set K of rational approximation (i.e. Vitushkin set), and every function f, continuous on K and holomorphic in the interior of K, there exists a subsequence {n_k} of \N such that {φ(z + λ_{n_k})} converges to f(z) uniformly on K. A similar result is obtained for arbitrary domains G \neq \C. Moreover, in case {λ_n} = {n} the function φ is frequently universal in terms of Bayart/Grivaux [3]. [less ▲]

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See detailUniversal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
Iena, Oleksandr UL

in Communications in Algebra (2015), 43(2), 812-828

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable ... [more ▼]

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support). [less ▲]

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See detailUniversal plane curve and moduli spaces of 1-dimensional coherent sheaves
Iena, Oleksandr UL

E-print/Working paper (2014)

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable ... [more ▼]

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support). [less ▲]

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See detailUniversal plane curves and Simpson moduli spaces of 1-dimensional sheaves
Iena, Oleksandr UL

Poster (2012, June)

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable ... [more ▼]

We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support). [less ▲]

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See detailUniversal rational expansions of meromorphic functions
Meyrath, Thierry UL

in Computational Methods and Function Theory (2011), 11(1), 317-324

Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain $G$ can be expanded into a series of rational functions, whose partial sums have universal ... [more ▼]

Motivated by known results about universal Taylor series, we show that every function meromorphic on a domain $G$ can be expanded into a series of rational functions, whose partial sums have universal approximation properties on arbitrary compact sets $K \subset G^c$. [less ▲]

Detailed reference viewed: 109 (4 UL)
See detailUniversal Reasoning, Rational Argumentation and Human-Machine Interaction
Benzmüller, Christoph UL

E-print/Working paper (2017)

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning ... [more ▼]

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach. Universal logic reasoning in turn, as envisioned already by Leibniz, may support the rigorous formalisation and deep logical analysis of rational arguments within machines. A respective universal logic reasoning framework is described and a range of exemplary applications are discussed. In the future, universal logic reasoning in combination with appropriate, controlled forms of rational argumentation may serve as a communication layer between humans and intelligent machines. [less ▲]

Detailed reference viewed: 70 (3 UL)