665 research outputs found
Implicitisation and Parameterisation in Polynomial Functors
No full textIn earlier work, the second author showed that a closed subset of a
polynomial functor can always be defined by finitely many polynomial equations.
In follow-up work on -varieties,
Bik-Draisma-Eggermont-Snowden showed, among other things, that in
characteristic zero every such closed subset is the image of a morphism whose
domain is the product of a finite-dimensional affine variety and a polynomial
functor. In this paper, we show that both results can be made algorithmic:
there exists an algorithm that takes as input a morphism
into a polynomial functor and outputs finitely many equations defining the
closure of the image; and an algorithm that takes as
input a finite set of equations defining a closed subset of a polynomial
functor and outputs a morphism whose image is that closed subset.Comment: 22 page
Extensions and Limits of the Specker-Blatter Theorem
No full textThe original Specker-Blatter Theorem (1983) was formulated for classes of structures of one or several binary relations definable in Monadic Second Order Logic MSOL. It states that the number of such structures on the set [n] is modularly C-finite (MC-finite). In previous work we extended this to structures definable in CMSOL, MSOL extended with modular counting quantifiers. The first author also showed that the Specker-Blatter Theorem does not hold for one quaternary relation (2003).
If the vocabulary allows a constant symbol c, there are n possible interpretations on [n] for c. We say that a constant c is hard-wired if c is always interpreted by the same element j ∈ [n]. In this paper we show:
(i) The Specker-Blatter Theorem also holds for CMSOL when hard-wired constants are allowed. The proof method of Specker and Blatter does not work in this case.
(ii) The Specker-Blatter Theorem does not hold already for with one ternary relation definable in First Order Logic FOL. This was left open since 1983.
Using hard-wired constants allows us to show MC-finiteness of counting functions of various restricted partition functions which were not known to be MC-finite till now. Among them we have the restricted Bell numbers B_{r,A}, restricted Stirling numbers of the second kind S_{r,A} or restricted Lah-numbers L_{r,A}. Here r is an non-negative integer and A is an ultimately periodic set of non-negative integers
Discussio descriptionis Valachorum Transylvanorum editae Patrioticis Paginis ( Vaterlandische Blatter) Nris 83. 84. 85. Viennae 1811
No full textDiscussio descriptionis Valachorum Transylvanorum editae Patrioticis Paginis ( Vaterlandische Blatter) Nris 83. 84. 85. Viennae 1811 / autore I. G. - Pesthini [Budapest] : Typis Matthiae Trattner, 1812. - 48 p. ; 18,5 cm
Unfair Emotions
No full textThis book provides a novel philosophical account of the unfairness of certain emotions. It explains how the concept of unfairness can be applied to emotions and how emotions can be the proper objects of second-person moral evaluation. Emotions are an integral part of our moral practices. While the links between emotions and morality have received much philosophical attention recently, the phenomenon of unfair emotions remains under-explored. This book examines an everyday phenomenon that we often perceive other people’s emotions as unfair, in a similar way as if they acted unfairly. It argues that the notion of unfairness combines elements of the unfittingness and of the moral relevance of an emotion. In the first half of the book, the author shows how an unfair emotion can wrong another person. His account holds that an emotion is unfair to its target if its inherent action tendencies constitute a directed moral hazard to the targeted person. In the second half, the author examines to what extent we are responsible for feeling an unfair emotion, and in what way we can – and cannot – be held accountable for it. He argues not only that emotions can be unfair but also that there are limits to when we may hold people accountable for them. Unfair Emotions will appeal to scholars and graduate students working in ethics, philosophy of emotion, moral psychology, and cognitive psychology. The Open Access version of this book, available at www. taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license. Any third party material in this book is not included in the OA Creative Commons license, unless indicated otherwise in a credit line to the material. Please direct any permissions enquiries to the original rightsholder. The Open Access version of this book was published with the support of the Swiss National Science Foundation
Nonequilibrium delocalization-localization transition of photons in circuit quantum electrodynamics
No full textIn this work we have shown that photons in two tunnel-coupled microwave resonators, each containing a single superconducting qubit undergo a sharp nonequilibrium delocalization-localization (self-trapping) transition due to strong photon-qubit coupling. We find that self-trapping of photons in one of the resonators (spatial localization) forces the qubit in the opposite resonator to remain in its initial state (energetic localization). This allows for an easy experimental observation of the transition by local readout of the qubit state. We also show that dissipation of photons and decoherence of the qubit do not destroy the self-trapping regime, but actually favor it
Anatomy of an (un)professional apologizer: The case of former FIFA President Sepp Blatter
No full textIn his time as FIFA President, Sepp Blatter became an increasingly controversial figure, not least because of his need to repeatedly apologise for unprofessional and unethical comments on sensitive political and social issues within football and for overseeing controversial decisions taken by the FIFA executive committee in the sphere of geopolitics. In spite of this, Blatter survived at his post for seventeen years. Referring to an established taxonomy of the component parts of an apology, this paper attempts to assess two of Blatter’s performances as an apologizer. In line with more recent orientations within this branch of (im)politeness studies, the analysis also recognizes that apologies cannot be viewed as linguistic performances alone but should also be investigated as events in which evaluation plays an important part. To that end, as part of a more integrated, discursive approach, qualitative analysis of two official apologies for three particularly sensitive issues are compared with specific evaluations of them. The findings of the analysis indicate divergences in the evaluations and invite reflections on the role this may have played in Blatter’s survival at his post and his continuing unprofessional behaviou
Recherches expérimentales sur les altérations cellulaires des glandes gastriques (phosphore et bicarbonate de soude) / par le Dr Pierre Blatter,...
No full textContient une table des matièresAvec mode text
Effects of Difluorophenyl Substituents on Structural, Redox, and Magnetic Properties of Blatter Radicals
No full textBlatter radicals 1-(3,4-difluorophenyl)-(1a) and 1-(2,4-difluorophenyl)-3-phenyl-1,4-dihydrobenzo[e][1,2,4]triazin-4-yl (1b) were prepared in good yields through oxidation of the corresponding amidrazones using MnO2 in dry CH2Cl2. Cyclic voltammetry showed that both radicals are oxidized and reduced chemically and electrochemically reversibly in accordance with −1/0 and 0/+1 processes. EPR spectroscopy indicated that spin density is mainly delocalized on the triazinyl moiety of the heterocycle. The structure of all paramagnets was unambiguously confirmed by single-crystal X-ray diffraction, and two different 1D chains of alternating radicals were identified. 3,4-difluorophenyl-derivatives 1a are packed into columns composed of two kinds of alternating centrosymmetric dimers, having comparatively short intermolecular distances. In crystals of 2,4-difluorophenyl-derivative 1b, the parallel arrangement of bicyclic moieties and phenyl rings favors the formation of 1D regular chains wherein the radicals are related by translation parallel to the crystallographic stacking axis. Magnetic susceptibility measurements in the 2–300 K region showed that in crystals of the radicals, strong antiferromagnetic interactions are dominant. Subsequent fitting of the dependence of χT on T with 12-membered looped stacks gave the following best-fit parameters: for 1a, g = 2.01 ± 0.05, J1/kB = −292 ± 10 K (according to BS-DFT calculations J2 = 0.12 × J1 and J3 = 0.61 × J1); for 1b, g = 2.04 ± 0.01 J1/kB = −222 ± 17 K. For comparison, in a nonfluorinated related radical, there are only very weak intermolecular interactions along the columns (J/kB = −2.2 ± 0.2 K). These results illustrate the magnitude of the influence of the difluorophenyl substituents introduced into Blatter radicals on their structure and magnetic properties
The Environment-Dependent Behavior of the Blatter Radical at the Metal–Molecule Interface
No full textStable
organic radicals have potential applications for building
organic spintronic devices. To fulfill this potential, the interface
between organic radicals and metal electrodes must be well characterized.
Here, through a combined effort that includes synthesis, scanning
tunneling microscopy, X-ray spectroscopy, and single-molecule conductance
measurements, we comprehensively probe the electronic interaction
between gold metal electrodes and a benchtop stable radicalthe
Blatter radical. We find that despite its open-shell character and
having a half-filled orbital close to the Fermi level, the radical
is stable on a gold substrate under ultrahigh vacuum. We observe a
Kondo resonance arising from the radical and spectroscopic signatures
of its half-filled orbitals. By contrast, in solution-based single-molecule
conductance measurements, the radical character is lost through oxidation
with charge transfer occurring from the molecule to metal. Our experiments
show that the stability of radical states can be very sensitive to
the environment around the molecule
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