IA Scholar Query: The Distributive, Graded Lattice of EL Concept Descriptions and its Neighborhood Relation (Extended Version).
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Internet Archive Scholar query results feedeninfo@archive.orgFri, 30 Sep 2022 00:00:00 GMTfatcat-scholarhttps://scholar.archive.org/help1440Hamiltonian gauge theory with corners: constraint reduction and flux superselection
https://scholar.archive.org/work/k3f2pt6bbbhydhlehabxyin7aa
We study the Hamiltonian formulation of gauge theory on manifolds with corners, and characterize symplectic reduction whenever the theory admits a local momentum map for the gauge group action. This is achieved by adapting reduction by stages to the case of gauge subgroups that emerge in the presence of corners. We start from a decomposition of the local momentum map into a bulk term called constraint map, and a boundary term called flux map. The first stage, or constraint reduction, views the constraint as the zero locus of a momentum map for a normal subgroup 𝒢_∘⊂𝒢 (the constraint gauge group). The second stage, or flux superselection, interprets the flux map as the momentum map for the residual action of the flux gauge group 𝒢≐𝒢/𝒢_∘. Whereas the only physically admissible value of the constraint map is zero, the flux map is (largely) unconstrained. Equivariance is controlled by cocycles of the flux gauge group. Reduction assigns to the boundary a Poisson manifold 𝒫, whose symplectic leaves correspond to the preimages with respect to the flux map of the coadjoint (or affine) orbits of the flux gauge group. We call them superselection sectors, for they provide a classical analogue of the phenomenon of quantum superselection. To the corner, we further assign a symplectic Lie algebroid over a Poisson manifold, 𝖠_∂→𝒫_∂, and a Poisson submanifold of on-shell configurations 𝒞_∂⊂𝒫_∂. Both 𝒞_∂ and 𝒫 fibrate over a common space of superselections. We work out in detail the application of the formalism to a class of Yang–Mills theories, and discuss applications to Chern–Simons and BF theories.Aldo Riello, Michele Schiavinawork_k3f2pt6bbbhydhlehabxyin7aaFri, 30 Sep 2022 00:00:00 GMTAspects of Entanglement Entropy in Algebraic Quantum Field Theory
https://scholar.archive.org/work/355ctjbbm5fijdw3shkppveck4
In this thesis, we study aspects of entanglement theory of quantum field theories from an algebraic point of view. The main motivation is to gain insights about the general structure of the entanglement in QFT, towards a definition of an entropic version of QFT. In the opposite direction, we are also interested in exploring any consequence of the entanglement in algebraic QFT. This may help us to reveal unknown features of QFT, with the final aim of finding a dynamical principle which allows us to construct non-trivial and rigorous models of QFT. The algebraic approach is the natural framework to define and study entanglement in QFT, and hence, to pose the above inquiries. After a self-contained review of algebraic QFT and quantum information theory in operator algebras, we focus on our results. We compute, in a mathematically rigorous way, exact solutions of entanglement measures and modular Hamiltonians for specific QFT models, using algebraic tools from modular theory of von Neumann algebras. These calculations show explicitly non-local features of modular Hamiltonians and help us to solve ambiguities that arise in other non-rigorous computations. We also study aspects of entanglement entropy in theories having superselection sectors coming from global symmetries. We follow the algebraic perspective of Doplicher, Haag, and Roberts. In this way, we find an entropic order parameter that "measures" the size of the symmetry group, which is made out of a difference of two mutual informations. Moreover, we identify the main operators that take account of such a difference, and we obtain a new quantum information quantity, the entropic certainty relation, involving algebras containing such operators. This certainty relation keeps an intrinsic connection with subfactor theory of von Neumann algebras.Diego Pontellowork_355ctjbbm5fijdw3shkppveck4Fri, 26 Aug 2022 00:00:00 GMTThe Potential Influence of Crosslinguistic Similarity on Lexical Transfer: Examining Vocabulary Use in L2 English
https://scholar.archive.org/work/jhamhp2hkjddnps75cmvobp5pa
Learners' native language (L1) influences their knowledge and use of second language (L2) vocabulary, a phenomenon known as lexical transfer. Past research on this shows that learners' L1 influences their L2 word choices, and that lexical similarity—which relates to cognancy—between L1 words and their L2 counterparts facilitates the processing of the L2 words, particularly during the early stages of L2 acquisition, and makes speakers more likely to use the L2 words in spontaneous productions. To extend past research, the present research investigates whether crosslinguistic similarity influences L2 vocabulary use in a task-based, English-as-a-foreign language educational setting. Specifically, it investigates whether increased similarity between languages as a whole increases L2 lexical diversity, and whether increased similarity between L1 words and their L2 counterparts increases the use of the L2 words. It investigates this using two matching learner samples, containing 8,500 and 6,390 English texts, written in response to 95 and 71 tasks, by speakers of 9 typologically diverse L1s, in the A1–B2 CEFR range of L2 proficiency. Surprisingly, lexical similarity between the L1 and the L2 as a whole did not influence L2 lexical diversity, regardless of learners' L2 proficiency. Likewise, lexical similarity between corresponding L1-L2 words did not influence the use of the L2 words, again regardless of L2 proficiency. Conversely, there were strong task effects on both L2 lexical diversity and L2 word choice. These findings show that the facilitative effect of crosslinguistic lexical similarity (especially the cognate facilitation effect) is constrained, and suggest that communicative needs and other task effects can override positive lexical transfer. This highlights the role of situational factors in crosslinguistic influence, and raises questions regarding when and how these and similar factors can override language transfer, for example when it comes to different types of transfer (e.g., positive vs. negative, or [...]Itamar Shatz, Apollo-University Of Cambridge Repository, Dora Alexopoulouwork_jhamhp2hkjddnps75cmvobp5paTue, 12 Jul 2022 00:00:00 GMTPublic Transit Challenges in Sparsely Populated Countries: Case Study of the United States
https://scholar.archive.org/work/w53cf6cqvnbvrkmheczpu6vznu
was born in Edinburgh but grew up in Hastings. He studied chemistry at Oxford, where he gained a B.A. and D.Phil. He moved to the University of Cambridge before being appointed to a University Lectureship and Fellowship of Robinson College in 1984. He remained at Cambridge until 1993 when he was appointed Professor of Inorganic Chemistry at the University of Basel. In 2000 he took up a position as Professor of Chemistry at the University of Birmingham (England) where he was appointed Head of School. He returned to the University of Basel as Professor of Chemistry in 2002. He publishes in all areas of chemistry with over 650 peer-reviewed publications and is highly cited (22,000 citations, h-index 74). His interests cover all aspects of chemistry, chemical history and the communication of science. He is Editor-in-Chief for a new open access journal Chemistry. He has held an ERC Advanced Grant and has been Research Dean and Vice-President of the University of Basel. He is currently Chairman of the Swiss Academies Expert Group on Research Integrity and President of Euresearch. When he is not being a chemist, he is to be found chasing insects and pursuing his love of photography.Warren S. Vazwork_w53cf6cqvnbvrkmheczpu6vznuFri, 17 Jun 2022 00:00:00 GMTHarmonic analysis in operator algebras and its applications to index theory
https://scholar.archive.org/work/wcf4ykivk5ekneowvfiedjplme
This monograph develops the theory of Besov spaces for abelian group actions on semifinite von Neumann algebras and then proves Peller criteria for traceclass properties of associated Hankel operators. This allows to extend known index theorems to symbols lying in Sobolev or Besov spaces. The duality theory for pairings over the smooth Toeplitz extension is developed in detail. Numerous applications to solid state systems are presented. In particular, a bulk-boundary correspondence is obtained for insulators with edges of irrational angles and for chiral semimetals having a pseudogaps. The latter implies the existence of flat bands of edge for tight-binding graphene models and shows how the density of surface states is expressed in terms of weak Chern numbers of the system without boundaries.Hermann Schulz-Baldes, Tom Stoiberwork_wcf4ykivk5ekneowvfiedjplmeWed, 15 Jun 2022 00:00:00 GMTBasque Conference on Cyber Physical Systems and Artificial Intelligence
https://scholar.archive.org/work/gzxz6jf3fbflzavo3vtfq5ipoy
This entry contains the proceedings of the Basque Conference on Cyber Physical Systems and Artificial IntelligenceManuel Grañawork_gzxz6jf3fbflzavo3vtfq5ipoyWed, 18 May 2022 00:00:00 GMTBasque Conference on Cyber Physical Systems and Artificial Intelligence
https://scholar.archive.org/work/jvcgwrni6fh5lhwq6b57nmrzwa
This entry contains the proceedings of the Basque Conference on Cyber Physical Systems and Artificial IntelligenceManuel Grañawork_jvcgwrni6fh5lhwq6b57nmrzwaWed, 18 May 2022 00:00:00 GMTDevelopment of Lattice-Augmented Fuels for Hybrid Rocket Applications
https://scholar.archive.org/work/nqebbb63mrckfgsd57x3gwvriy
Hybrid rocket propulsion systems, which utilize a solid fuel and liquid oxidizer, are among the safest and simplest rocket propulsion systems that can be developed. Despite these attractive qualities, the commercialization of the technology has been slow due to difficulties associated with scaling designs from lab-scale demonstration motors to functional propulsion systems for launch vehicles. The introduction of liquefying solid fuels, such as paraffin wax, have helped overcome some of the scaling issues traditionally associated with hybrid rockets, but a number of key challenges relating to combustion efficiency and the structural properties of wax-based fuels remain. The current work explores these challenges through the use of an additively-manufactured lattice embedded within the fuel grain. A novel process of generating three-dimensional gyroid surfaces with the desired properties has been developed that allows for lattices to be manufactured using fused deposition modeling (FDM) from a variety of thermoplastics. The application of lattice-augmented fuels to hybrid rocket systems at a number of scales is considered. An extensive series of tests were conducted on an optically accessible slab burner to characterize the regression characteristics of lattice augmented fuels. Lattice-augmented fuels were also demonstrated at a larger scale using a 4-kN nitrous oxide/paraffin hybrid rocket motor. Studies at this scale analyzed the regression rate of the fuel as well as methods of improving the combustion efficiency. A passive mixing device located in the combustion chamber was used to improve the combustion efficiency of the wax-based fuel by over 40%. Finally, lattice-augmented fuels were demonstrated in-flight during a series of sounding rocket flights which compared the performance of non-augmented to augmented fuels. The thesis has shown that the proposed strategy for improving wax-based fuels using lattice-augmentation performs well across a number of motor scales and can be successfully applied to an operat [...]Colin Hill, University Of Calgary, Craig Johansenwork_nqebbb63mrckfgsd57x3gwvriyTue, 26 Apr 2022 00:00:00 GMTCritical by Design? Genealogies, Practices, Positions
https://scholar.archive.org/work/f3vd52s4qvfo7i73xttuyukx4q
In its constructive and speculative nature, design has the critical potential to reshape prevalent socio-material realities. At the same time, design is inevitably normative, if not often violent, as it stabilises the past, normalises the present, and precludes just and sustainable futures. The contributions rethink concepts of critique that influence the field of design, question inherent blind spots of the discipline, and expand understandings of what critical design practices could be. With contributions from design theory, practice and education, art theory, philosophy, and informatics, »Critical by Design?« aims to question and unpack the ambivalent tensions between design and critique.(:Unkn) Unknown, University, My, Claudia Mareis, Moritz Greiner-Petter, Michael Rennerwork_f3vd52s4qvfo7i73xttuyukx4qMon, 25 Apr 2022 00:00:00 GMTZeta invariants of Morse forms
https://scholar.archive.org/work/2chrzcu4kfezpknjssmyd3fvpq
Given a closed real 1-form η on a closed Riemannian manifold (M,g), let d_z, δ_z and Δ_z be the induced Witten's type perturbations of the de Rham derivative and coderivative and the Laplacian on differential forms on M, parametrized by z∈ℂ, and let ζ(s,z) be the zeta function of s∈ℂ given by ζ(s,z)=Tr^s(η∧ δ_zΔ_z^-s) when s≫0. For a class of Morse forms η, we prove that ζ(s,z) is smooth at s=1 for | z|≫0, and the zeta invariant ζ(1,z) converges to some 𝐳∈ℝ as z→+∞, uniformly on z. We describe 𝐳 in terms of the instantons of an auxiliary Smale gradient-like vector field X and the Mathai-Quillen current on TM defined by g. Any real cohomology class has a representative η satisfying the needed hypothesis. If n is even, we can prescribe any real value for 𝐳 by perturbing g, η and X; moreover, we can also achieve the same limit as z→-∞. This is used to define and describe certain tempered distributions induced by g and η. These distributions appear in another publication as the contributions from the compact leaves preserved by the flow in a trace formula for simple foliated flows on closed foliated manifolds, which gives a solution to a problem proposed by C. Deninger.Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnamwork_2chrzcu4kfezpknjssmyd3fvpqWed, 06 Apr 2022 00:00:00 GMTINAUGURATION OF KIFILIDEEN TRINOMIAL THEOREM OF NEGATIVE POWER OF – N BY EMPLOYING MATRIX AND STANDARDIZED TECHNIQUES
https://scholar.archive.org/work/x6nb2pa65vatvgd3b3ef2o3e5m
The Kifilideen trinomial theorem of positive power of n built on matrix and standardized procedures had been developed and implemented in company with the Kifilideen general power combination formula which helps to determine the terms in the kif expansion of trinomial expression of positive power of n. This research work inaugurated Kifilideen trinomial theorem of negative power of – n by employing matrix and standardized techniques. Matrix was used in this study to arrange the terms of the series of the negative power of the Kifilideen trinomial theorem. The Kifilideen general power combination formula of any term in the series of the Kifilideen trinomial theorem of negative power of – n was invented. The Kifilideen general term formula to determine the term of a given power combination was also originated. It has been proving that the theorem and formulas generated are accurate, reliable, easy and interesting. The theorem helps in generating the terms of Kifilideen trinomial theorem of negative power of – n in an orderly form and makes it easy in obtaining the power combination that produce any given term and vice versa.Kifilideen Lekan Osanyinpejuwork_x6nb2pa65vatvgd3b3ef2o3e5mSun, 03 Apr 2022 00:00:00 GMTLead (Pb) contamination in low- and middle-income countries: exposures, outcomes and mitigation
https://scholar.archive.org/work/bvvngxt65bbihn5qvf436x5uiq
Human lead exposure contributes to a number of adverse health and social outcomes. The most significant historical source of exposure was the addition to tetraethyl lead (TEL) to petrol throughout the 20th century, which resulted in widespread contamination of human and natural environments. By the early 21st century nearly all countries had taken steps to phase out the use of TEL. Subsequent biological assessments of humans have universally shown significant and rapid declines in lead concentrations, typically measured in blood. In high income countries, the declines were particularly substantial. In the United States, for example, mean blood lead levels (BLLs) are currently < 1 μg/dL compared to > 15 μg/dL before the 1976 phase out. In contrast BLLs in low- and middle-income countries (LMICs )have remained elevated, with national mean BLLs above 5 μg/dL in multiple locations. Despite this, little is known about the continued nature and extent of lead exposure in LMICs. This thesis sought to characterize sources of human lead exposure in LMICs, quantify their impact, and propose methods of mitigation. It is comprised of 12 studies arranged in three chapters along these themes. In the first chapter, sources of human lead exposure in LMICs were evaluated through a systematic literature review and in situ assessment. In the second chapter, the attributable disease burden of some of those sources was quantified using common public health metrics, primarily Disability Adjusted Life Years (DALYs). Finally, in the third chapter, mitigation case studies were executed in three different countries and evaluated for their efficacy. The thesis contends that lead exposure in LMICs is primarily industrial in nature and results in a larger disease burden than is currently estimated. In addition it argues that cost effective measures exist to mitigate some of the more significant sources of exposure.Bret Ericsonwork_bvvngxt65bbihn5qvf436x5uiqMon, 28 Mar 2022 00:00:00 GMTEngineering, Technology & Applied Science Research (ETASR), Vol. 12, No. 1, pp. 7974-8227
https://scholar.archive.org/work/vvomu35waff6fmfq5ucryrgqjq
Engineering, Technology & Applied Science Research (ETASR) is an international bimonthly wide scope, peer-reviewed open access journal for the publication of original articles concerned with diverse aspects of science application, technology, and engineering. The journal was first published in February 2011. ISSN: 1792-8036 and 2241-4487. ETASR is indexed in the Web of Science Core Collection (former Web of Science/Thomson Reuters Master Journal List), through the Emerging Sources Citation Index, is a Crossref member (DOI prefix: 10.48084), and has been awarded a DOAJ seal. The table of contents for this issue can be found at: https://etasr.com/index.php/ETASR/issue/view/73. For more info visit the journal's site at: www.etasr.com.Variouswork_vvomu35waff6fmfq5ucryrgqjqSat, 19 Mar 2022 00:00:00 GMTThe Daily Texan
https://scholar.archive.org/work/5xzdfbwtknfbnk4dtnpob25x3e
This is the first in a three-part series examining the UT Department of English problems and proposed solutions. A Department of English proposal to move the second sem ester of freshman composition into the junior or senior year is designed to remedy increasing enrollment problems the University and English department face -a problem first encountered 20 years ago. Ja m e s Kinneavy. a professor of English and d irector of freshm an English, said his proposal will provide a continued writing experience for un dergraduate students and will both help curb the en ro llm en t problem and alleviate staffing problems in lower division English classes. " English departments throughout this country have trouble with their English program ," Robert King, dean of the College of Liberal Arts, said King said other universities, par ticularly in the North. Northeast and Northwest, are having problems with d e crea sin g en ro llm en t, w hile the University must deal with increasing enrollment and problems associated with such growth. Kinneavv said the No. 1 and 2 Th e Da il y Te x a nUniversity Of Texas At Austin, Austin, The University Of Texas Atwork_5xzdfbwtknfbnk4dtnpob25x3eWed, 16 Mar 2022 00:00:00 GMTKeyword spotting in handwritten document images using supervised and unsupervised representations
https://scholar.archive.org/work/p7zmrpqxejdbdjv37kjq7tjao4
Vast collections of documents available in image format need to be efficiently digitized for information retrieval purposes. Many approaches from the document analysis and recognition research community have been proposed to alleviate the search process.Άγγελος Γιώτης, University Of Ioanninawork_p7zmrpqxejdbdjv37kjq7tjao4Fri, 04 Mar 2022 00:00:00 GMTCharacterization and Classification of Fermionic Symmetry Enriched Topological Phases
https://scholar.archive.org/work/lncibq63tnh3vabilrql7jktrm
We examine the interplay of symmetry and topological order in 2+1 dimensional fermionic topological phases of matter. We define fermionic topological symmetries acting on the emergent topological effective theory described using braided tensor category theory. Connecting this to the G^ f fermionic symmetry of the microscopic physical system, we characterize and classify symmetry fractionalization in fermionic topological phases. We find that the physical fermion provides constraints that result in a tiered structure of obstructions and classification of fractionalization with respect to the physical fermions, the quasiparticles, and the vortices. The fractionalization of the (bosonic) symmetry G= G^ f/ℤ_2^ f on the physical fermions is essentially the central extension of G by the ℤ_2^ f fermion parity conservation that yields the fermionic symmetry G^ f. We develop an algebraic theory of G^ f symmetry defects for fermionic topological phases using G-crossed braided tensor category theory. This formalism allows us to fully characterize and classify 2+1 dimensional fermionic symmetry enriched topological phases with on-site unitary fermionic symmetry group G^ f. We first apply this formalism to extract the minimal data specifying a general fermionic symmetry protected topological phase, and demonstrate that such phases with fixed G^ f form a group under fermionic stacking. Then we analyze general fermionic symmetry enriched topological phases and find their classification is given torsorially by the classification of the symmetry fractionalization of quasiparticles combined with the classification of fermionic symmetry protected topological phases. We illustrate our results by detailing a number of examples, including all the invertible fermionic topological phases.David Aasen, Parsa Bonderson, Christina Knappwork_lncibq63tnh3vabilrql7jktrmMon, 28 Feb 2022 00:00:00 GMTRelative nonhomogeneous Koszul duality
https://scholar.archive.org/work/eq42wainybek5kqpdf2txyphnq
This book contains a detailed exposition of the nonhomogeneous Koszul duality theory in the relative situation over a noncentral, noncommutative, nonsemisimple base ring, as announced in Section 0.4 of arXiv:0708.3398. We prove the Poincare-Birkhoff-Witt theorem in this context and construct the triangulated equivalences of derived Koszul duality. The duality between the ring of differential operators and the de Rham DG-algebra, with the ring of functions as the base ring, is the thematic example. The moderate generality level makes the exposition in this book more accessible than the very heavily technical Chapter 11 of arXiv:0708.3398.Leonid Positselskiwork_eq42wainybek5kqpdf2txyphnqFri, 18 Feb 2022 00:00:00 GMTSome Fundamental Theorems in Mathematics
https://scholar.archive.org/work/6lqit72adje3zlo54s5zpgviem
An expository hitchhikers guide to some theorems in mathematics.Oliver Knillwork_6lqit72adje3zlo54s5zpgviemFri, 04 Feb 2022 00:00:00 GMTComplex Networks: Structure and Inference
https://scholar.archive.org/work/3z2u6qwehjcpdl5kqz6frpc4cu
From the spread of disease across a population to the dispersion of vehicular traffic in cities, many real-world processes are driven by lots of small components that interact in simple ways at small scales to produce nontrivial large-scale effects. Probing the fundamental mechanisms that govern such systems——broadly called "complex systems"——is crucial for control, design, and intervention relevant to these processes. Networks, mathematical objects composed of nodes attached in pairs by edges, provide a very useful representation of such systems, and thus modeling networks is of critical importance for understanding real-world complex systems. In this thesis, I examine two different aspects of network modeling: (1) characterizing structure in networks with metadata, and (2) developing scalable, accurate, and interpretable inference techniques for real-world network data. I approach the problem of characterizing structure in networks with metadata from two different perspectives. First, I discuss new measures for characterizing the structure of signed networks with positive and negative edge signs representing amity and enmity respectively. Signed networks are hypothesized to display structural regularity (balance) as a result of certain configurations of edge signs being more common than others——for instance, the friend of my enemy should be my enemy. I show that we can develop intuitive measures of balance in signed networks that capture long-range correlations, demonstrating that real networks are indeed significantly balanced using these measures, and that these measures can be used to impute missing data. Second, I move on to explore how we can measure diversity at multiple scales in networks with node metadata that take the form of distributions. I detail a general information theoretic framework for this task, illustrating new insights it can give us through example applications involving demographic data across spatially contiguous regions. With regards to inference, I first describe a new message passi [...]Alec Kirkley, University, Mywork_3z2u6qwehjcpdl5kqz6frpc4cuWed, 19 Jan 2022 00:00:00 GMTTransitioning to Affordable and Clean Energy
https://scholar.archive.org/work/52zhwebs5jfubhe3eo7hmkx2y4
was born in Edinburgh but grew up in Hastings. He studied chemistry at Oxford, where he gained a B.A. and D.Phil. He moved to the University of Cambridge before being appointed to a University Lectureship and Fellowship of Robinson College in 1984. He remained at Cambridge until 1993 when he was appointed Professor of Inorganic Chemistry at the University of Basel. In 2000 he took up a position as Professor of Chemistry at the University of Birmingham (England) where he was appointed Head of School. He returned to the University of Basel as Professor of Chemistry in 2002. He publishes in all areas of chemistry with over 650 peer-reviewed publications and is highly cited (22,000 citations, h-index 74). His interests cover all aspects of chemistry, chemical history and the communication of science. He is Editor-in-Chief for a new open access journal Chemistry. He has held an ERC Advanced Grant and has been Research Dean and Vice-President of the University of Basel. He is currently Chairman of the Swiss Academies Expert Group on Research Integrity and President of Euresearch. When he is not being a chemist, he is to be found chasing insects and pursuing his love of photography.s.n.work_52zhwebs5jfubhe3eo7hmkx2y4