IA Scholar Query: Linear Inequalities for Flags in Graded Partially Ordered Sets.
https://scholar.archive.org/
Internet Archive Scholar query results feedeninfo@archive.orgTue, 06 Dec 2022 00:00:00 GMTfatcat-scholarhttps://scholar.archive.org/help1440The Taylor-Wiles method for reductive groups
https://scholar.archive.org/work/3tz3h7a3c5hhbnta72mdkkjota
We construct a local deformation problem for residual Galois representations ρ̅ valued in an arbitrary reductive group Ĝ which we use to develop a variant of the Taylor-Wiles method. Our generalization allows Taylor-Wiles places for which the image of Frobenius is semisimple, a weakening of the regular semisimple constraint imposed previously in the literature. We introduce the notion of Ĝ-adequate subgroup, our corresponding 'big image' condition. When Ĝ is a simply connected simple group of type C or of exceptional type and Ĝ→GL_n is a faithful irreducible representation of minimal dimension, we show that a subgroup is Ĝ-adequate if it is GL_n-irreducible and the residue characteristic is sufficiently large. We apply our ideas to the case Ĝ = GSp_4 and prove a modularity lifting theorem for abelian surfaces over a totally real field F which holds under weaker hypotheses than in the work of Boxer-Calegari-Gee-Pilloni. We deduce some modularity results for elliptic curves over quadratic extensions of F.Dmitri Whitmorework_3tz3h7a3c5hhbnta72mdkkjotaTue, 06 Dec 2022 00:00:00 GMTPeople, Energy, Technology: Social and Economic Acceleration in Victoria, 1851-1914
https://scholar.archive.org/work/d6rkargc2feglioxub2kql5dbq
This thesis contributes to Australian social, economic and environmental history through research into social and economic change, institutional response, and its consequences, in the colony and State of Victoria 1851-1914, situated within its broader imperial and global settings. This period was the peak phase of global colonial expansion, migration, and militarisation, under both mercantilist and industrial capitalist impulses. The economic growth and wealth creation propagated by gold discoveries was offset by large-scale consumption and degradation of natural resource endowments. The thesis builds upon world histories charting transformative and accelerative global change in the nineteenth-century, by Osterhammel, and Bayly, and is an explicit example of Belich's, 'Settler Revolution.' Through a deep reading of the state archives as the primary source, I quantitatively and qualitatively assess accelerative and decelerative change in Victoria, testing the applicability of Harmunt Rosa's theory of social acceleration, which, while addressing our recent past of unfettered acceleration in production and consumption, draws its intellectual inspiration from observations of similar phenomena accompanying the onset of nineteenth-century modernity. Rosa proposes that the processes connecting growth with acceleration are structurally grounded within economic, cultural, and socio-structural, or institutional settings. The economic motor is primarily driven by increasing energy supply and technological advance. The intersections of people, energy and technology in Victoria are a major theme binding this thesis. This transformative period encompassed the 'second industrial revolution' based on chemicals and electricity from 1870-1914, and the near coterminous fin de siècle, a period of unprecedented intellectual advance, and cultural change. Little emphasis has been placed to date by historians on Victoria's adaptive and reactive responses to modernity, in its transition from agrarian settler society to a democra [...]Rodney Maxwell Bucktonwork_d6rkargc2feglioxub2kql5dbqMon, 05 Dec 2022 00:00:00 GMTRegularity and stable ranges of FI-modules
https://scholar.archive.org/work/43y6u4c5r5bmbmman5x272foxa
We give refined bounds for the regularity of FI-modules and the stable ranges of FI-modules for various forms of their stabilization studied in the representation stability literature. We show that our bounds are sharp in several cases. We apply these to get explicit stable ranges for diagonal coinvariant algebras, and improve those for ordered configuration spaces of manifolds and congruence subgroups of general linear groups.Cihan Bahranwork_43y6u4c5r5bmbmman5x272foxaMon, 05 Dec 2022 00:00:00 GMTAdmissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations
https://scholar.archive.org/work/h7oa23m4ezhdhn3yxw5gnhhpqi
We comprehensively study admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements parameterizing these systems. For each class from the constructed chain of nested gauged classes of such systems, we single out its singular subclass, which appears to consist of systems being similar to the elementary (free particle) system whereas the regular subclass is the complement of the singular one. This allows us to exhaustively describe the equivalence groupoids of the above classes as well as of their singular and regular subclasses. Applying various algebraic techniques, we establish principal properties of Lie symmetries of the systems under consideration and outline ways for completely classifying these symmetries. In particular, we compute the sharp lower and upper bounds for the dimensions of the maximal Lie invariance algebras possessed by systems from each of the above classes and subclasses. We also show how equivalence transformations and Lie symmetries can be used for reduction of order of such systems and their integration. As an illustrative example of using the theory developed, we solve the complete group classification problems for all these classes in the case of two dependent variables.Vyacheslav M. Boyko, Oleksandra V. Lokaziuk, Roman O. Popovychwork_h7oa23m4ezhdhn3yxw5gnhhpqiMon, 05 Dec 2022 00:00:00 GMTEfficient and Accurate Non-Metric k-NN Search with Applications to Text Matching
https://scholar.archive.org/work/jbz5u37355hkhlddlg3f4bihsq
In this thesis we advance state-of-the-art of the non-metric k-NN search by carrying out an extensive empirical evaluation (both and intrinsic) of generic methods for k-NN search. This work contributes to establishing a collection of strong benchmarks for data sets with generic distances. We start with intrinsic evaluations and demonstrate that non metric k-NN search is a practical and reasonably accurate tool for a wide variety of complex distances. However, somewhat surprisingly, achieving good performance does not require distance mapping/proxying via metric learning or distance symmetrization. Existing search methods can often work directly with non-metric and non-symmetric distances. They outperform the filter-and-refine approach relying on the distance symmetrization in the filtering step. Intrinsic evaluations are complemented with extrinsic evaluations in a realistic text retrieval task. In doing so, we make a step towards replacing/complementing classic term-based retrieval with a generic k-NN search algorithm. To this end we use a similarity function that takes into account subtle term associations, which are learned from a parallel monolingual corpus. An exact brute-force k-NN search using this similarity function is quite slow. We show that an approximate search algorithm can be 100-300 times faster at the expense of only a small loss in accuracy (10%). On one data set, a retrieval pipeline using an approximate k-NN search is twice as efficient as the C++ baseline while being as accurate as the Lucene-based fusion pipeline. We note, however, that it is necessary to compare our methods against more recent ranking algorithms. The thesis is concluded with a summary of learned lessons and open research questions (relevant to this work). We also discuss potential challenges facing a retrieval system designer.Leonid Boytsovwork_jbz5u37355hkhlddlg3f4bihsqFri, 02 Dec 2022 00:00:00 GMTHoneycomb Tessellations and Graded Permutohedral Blades
https://scholar.archive.org/work/duhevmby4ncszjj7wjhflwhgh4
We initiate the study of certain cyclically skewed tropical hyperplanes, called permutohedral blades by A. Ocneanu, and we make connections matroid theory, tropical geometry, moduli spaces and scattering amplitudes. We study two families of piecewise constant functions on ℝ^n-1 taking values in {0,1} and n ={1,2,...,n}, called respectively characteristic functions and graduated functions. We show that their codimension-one level sets exactly permutohedral blades. Using ring-theoretic arguments we show that a blade decomposes as a Minkowski sum of tripods and one-dimensional subspaces. For each triangulation of a cyclically oriented polygon there exists such a factorization. In the language of tropical geometry, this constructs a tropical hypersurface as a Minkowski sum of tropical lines. We use the principle of inclusion/exclusion to construct a collection of piecewise constant functions of blades which we enumerate by the dimension of the support of the function. On the induced ℚ-vector space one has an induced grading; this grading is compatible with various quotient spaces appearing in algebra, topology and scattering amplitudes. This vector space maps homomorphically onto the so-called Δ-algebra, which appears in the study of non-planar MHV leading singularities, leading to non-planar analogs of the square move for plabic graphs for G(2,n), called sphere moves. We give a closed formula for the graded dimension of the basis. It is shown in an Appendix by Donghyun Kim that the coefficients appearing in the numerator of the generating function for the graded dimension are symmetric, and that they sum to (2j)!/j!.Nick Earlywork_duhevmby4ncszjj7wjhflwhgh4Wed, 30 Nov 2022 00:00:00 GMTOn the geometry of flag Hilbert-Poincaré series for matroids
https://scholar.archive.org/work/kzd24sku7za3bottoiofvc3azq
We extend the definition of coarse flag Hilbert--Poincar\'e series to matroids; these series arise in the context of local Igusa zeta functions associated to hyperplane arrangements. We study these series in the case of oriented matroids by applying geometric and combinatorial tools related to their topes. In this case, we prove that the numerators of these series are coefficient-wise bounded below by the Eulerian polynomial and equality holds if and only if all topes are simplicial. Moreover this yields a sufficient criterion for non-orientability of matroids of arbitrary rank.Lukas Kühne, Joshua Maglionework_kzd24sku7za3bottoiofvc3azqWed, 30 Nov 2022 00:00:00 GMTF–J
https://scholar.archive.org/work/cn4pwk4efnaa3ba27vpt6ux6ca
Fabergé, Peter Carl (1846Carl ( -1920)) . Russian jeweller, of French descent. He achieved fame by the ingenuity and extravagance of the jewelled objects (especially Easter eggs) he devised for the Russian nobility and the tsar in an age of ostentatious extravagance which ended on the outbreak of World War I. He died in Switzerland.work_cn4pwk4efnaa3ba27vpt6ux6caWed, 30 Nov 2022 00:00:00 GMTPersistent Cup Product Structures and Related Invariants
https://scholar.archive.org/work/alrjknjqavbjret3wk2tkjjyre
One-dimensional persistent homology is arguably the most important and heavily used computational tool in topological data analysis. Additional information can be extracted from datasets by studying multidimensional persistence modules and by utilizing cohomological ideas, e.g. the cohomological cup product. In this work, given a single parameter filtration, we investigate a certain 2-dimensional persistence module structure associated with persistent cohomology, where one parameter is the cup-length ℓ≥0 and the other is the filtration parameter. This new persistence structure, called the persistent cup module, is induced by the cohomological cup product and adapted to the persistence setting. Furthermore, we show that this persistence structure is stable. By fixing the cup-length parameter ℓ, we obtain a 1-dimensional persistence module, called the persistent ℓ-cup module, and again show it is stable in the interleaving distance sense, and study their associated generalized persistence diagrams. In addition, we consider a generalized notion of a persistent invariant, which extends both the rank invariant (also referred to as persistent Betti number), Puuska's rank invariant induced by epi-mono-preserving invariants of abelian categories, and the recently-defined persistent cup-length invariant, and we establish their stability. This generalized notion of persistent invariant also enables us to lift the Lusternik-Schnirelmann (LS) category of topological spaces to a novel stable persistent invariant of filtrations, called the persistent LS category invariant.Facundo Mémoli, Anastasios Stefanou, Ling Zhouwork_alrjknjqavbjret3wk2tkjjyreWed, 30 Nov 2022 00:00:00 GMT2021
https://scholar.archive.org/work/ggji2kgovvhtlh6nq7bk7mukh4
Module 2 Interaction of radiation with matter -Absorption-Spontaneous emission -Stimulated emission-Einstein's coefficients (expression for energy density). Requisites of a Laser system. Condition for laser action. Principle, Construction and working of He-Ne laser. Propagation mechanism in optical fibers. Angle of acceptance. Numerical aperture. Types of optical fibers-Step index and Graded index fiber. Modes of propagation-Single mode and Multimode fibers. Attenuation-Attenuation mechanisms. Teaching Methodology: Chalk and talk method: Interaction of radiation with matter -Absorption-Spontaneous emission -Stimulated emission-Einstein's coefficients (expression for energy density). Requisites of a Laser system. Condition for laser action. Propagation mechanism in optical fibers. Angle of acceptance. Numerical aperture. Powerpoint presentation: Types of optical fibers-Step index and Graded index fiber. Modes of propagation-Single mode and Multimode fibers. Video: Construction and working of He-Ne laser. Self-study material: Attenuation-Attenuation mechanisms. 9 Hours Module 3 Temperature dependence of resistivity in metals and superconducting materials. Effect of magnetic field (Meissner effect). Isotope effect -Type I and Type II superconductors-Temperature dependence of critical field. BCS theory (qualitative). High temperature superconductors-Josephson effect -SQUID-Applications of superconductors-Maglev vehicles (qualitative). Magnetic dipole-dipole moment-flux density-magnetic field intensity-Intensity of magnetization-magnetic permeability-susceptibility-relation between permeability and susceptibility. Classification of magnetic materials-Dia, Para, Ferromagnetism. Hysteresis-soft and hard magnetic materials. Teaching Methodology: Chalk and talk method: Temperature dependence of resistivity in metals and superconducting materials. Effect of magnetic field (Meissner effect). Isotope effect -Type I and Type II superconductors-Temperature dependence of critical field. BCS theory (qualitative). High temperature superconductors-Powerpoint presentation: Josephson effect -SQUID-Applications of superconductors. Magnetic dipole-dipole moment-flux density-magnetic field intensity-Intensity of magnetization-magnetic permeability-susceptibility-relation between permeability and susceptibility. Hysteresis-soft and hard magnetic materials. Video: Maglev vehicles (qualitative). Self-study material: Classification of magnetic materials-Dia, Para, Ferromagnetism 9 Hours Module 4 Amorphous and crystalline materials-Space lattice, Bravais lattice-Unit cell, primitive cell. Lattice parameters. Crystal systems. Direction and planes in a crystal. Miller indices -Determination of Miller indices of a plane. Expression for inter -planar spacing. Atoms per unit cell -Co-ordination number. Relation between atomic radius and lattice constant -Atomic packing factors (SC, FCC, BCC). Bragg's law. Determination of crystal structure using Bragg's X-ray diffractometer -X-ray spectrum. Teaching Methodology: Chalk and talk method: Direction and planes in a crystal. Miller indices -Determination of Miller indices of a plane. Powerpoint presentation: Atoms per unit cell -Co-ordination number. Relation between atomic radius and lattice constant -Atomic packing factors (SC, FCC, BCC). Bragg's law. Determination of crystal structure using Bragg's X-ray diffractometer -X-ray spectrum. Self-study material: Amorphous and crystalline materials-Space lattice, Bravais lattice-Unit cell, primitive cell. Lattice parameters. Crystal systems. 9 Hours Module 5 Interference of light -Superposition of two coherent waves-Constructive and destructive interference. Interference in thin films -Wedge shaped thin film-Air wedge -Application to find the diameter of a thin wire. Newton's rings -Application to find the refractive index of a liquid. Diffraction of light -Classes of diffraction -Fresnel and Fraunhofer diffraction. Fresnel theory of half period zone -Zone plate. Diffraction grating -Grating element -Grating equation -Construction of grating-Reflection and transmission grating. Teaching Methodology: Chalk and talk method: Interference of light -Superposition of two coherent waves-Constructive and destructive interference. Powerpoint presentation: Interference in thin films -Wedge shaped thin film-Air wedge -Application to find the diameter of a thin wire. Newton's rings -Application to find the refractive index of a liquid. Fresnel theory of half period zone -Zone plate. Diffraction grating -Grating element -Grating equation -Construction of grating-Reflection and transmission grating. Self-study material: Diffraction of light -Classes of diffraction -Fresnel and Fraunhofer diffraction. 9 Hours C PROGRAMMING Subject Code 21SCS12 IA Marks 50 Number of Lecture Hours/Week 2 (L) + 2 (T) Exam Marks 50 Total Number of Lecture Hours 45 Total Marks 100 Credits 03 Exam Hours 2 Course Objectives: 1. To understand the various steps in program development. 2. To learn the syntax and semantics of C programming language. 3. To learn the usage of structured programming approach in solving problems. Course Outcomes: CO1: On completion of this course students will be able to write algorithms and to draw flowcharts for solving problems. CO2: On completion of this course students will be able to convert the algorithms/flowcharts to C programs. CO3: Students will be able to code and test a given logic in C programming language. CO4: Students will be able to decompose a problem into functions and to develop modular reusable code. CO5: Students will be able to use arrays, pointers, strings and structures to write C programs. Module 1 Introduction to Algorithms: Steps to solve logical and numerical problems. Representation of Algorithm, Flowchart/Pseudo code with examples, Program design and structured programming Introduction to C Programming Language: variables, Syntax and Logical Errors in compilation, object and executable code, Operators, expressions and precedence, Expression evaluation, Storage classes, type conversion, The main method and command line arguments. Bitwise operations: Bitwise AND, OR, XOR and NOT operators. Conditional Branching and Loops: Writing and evaluation of conditionals and consequent branching with if, if-else, switch-case, ternary operator, goto, Iteration with for, while, do-while loops I/O: Simple input and output with scanf and printf, formatted I/O, Introduction to stdin, stdout and stderr. Command line arguments. Teaching Methodology: Chalk and talk using PPT and Demo to explain the concept. 9 Hours Module 2 Arrays, Strings, Structures and Pointers: Arrays: one and two-dimensional arrays, creating, accessing and manipulating elements of arrays. Strings: Introduction to strings, handling strings as array of characters, basic string functions available in C (strlen, strcat, strcpy, strstr etc.), arrays of strings. Structures: Defining structures, initializing structures, unions, Array of structures. Pointers: Idea of pointers, Defining pointers, Pointers to Arrays and Structures, Use of Pointers in self referential structures, usage of self referential structures in linked list (no implementation) Enumeration data type. Teaching Methodology: Chalk and talk using PPT and Demo to explain the concept. Module 3 9 Hours Preprocessor and File handling in C: Preprocessor: Commonly used Preprocessor commands like include, define, undef, if, ifdef, ifndef Files: Text and Binary files, Creating and Reading and writing text and binary files, Appending data to existing files, Writing and reading structures using binary files, Random access using fseek, ftell and rewind functions. Teaching Methodology: Chalk and talk using PPT and Demo to explain the concept. 9 Hours Module 4 Function and Dynamic Memory Allocation: Functions: Designing structured programs, Declaring a function, Signature of a function, Parameters and return type of a function, passing parameters to functions, call by value, Passing arrays to functions, passing pointers to functions, idea of call by reference, Some C standard functions and libraries Recursion: Simple programs, such as Finding Factorial, Fibonacci series etc., Limitations of Recursive functions. Dynamic memory allocation: Allocating and freeing memory, Allocating memory for arrays of different data types. Teaching Methodology: Chalk and talk using PPT and Demo to explain the concept. 9 Hours Module 5 C PROGRAMMING LABORATORY Subject Code 21SCSL12 IA Marks 25 Number of Practical Hours/Week 1 (T) + 2 (L) Exam Marks 25 Total Number of Practical Hours 36 Total Marks 50 Credits 02 Exam Hours 3 Course Objectives: 1. To describe the basics of computer and understand the problem-solving aspect. 2. To demonstrate the algorithm and flow chart for the given problem. 3. To introduce students to the basic knowledge of programming fundamentals of C language. 4. To impart writing skill of C programming to the students and solving problems. 5. To impart the concepts like looping, array, functions, pointers, file, structure. Course Outcomes: CO1: Understand the problem solving to write efficient algorithms to solve real time problems. CO2: Understand and use various constructs of the programming language such as conditionals, iteration, and recursion. CO3: Implement your algorithms to build programs in the C programming language. CO4: Use data structures like arrays, linked lists, and stacks to solve various problems. CO5: Understand and use file handling in the C programming language. EXPERIMENTS: Implement the following programs with WINDOWS / LINUX platform using appropriate C compiler. Course Objectives: 1. To provide basic concepts D.C circuits and circuit analysis techniques 2. To provide knowledge on A.C circuit fundamental techniques 3. To understand construction and operation of BJT and Junction FET 4. Explain the different modes of communications from wired to wireless and the computing involved. 5. To provide fundamental knowledge of Digital Logic. Course Outcomes: CO1: Understand concepts of electrical circuits and elements. CO2: Apply basic electric laws in solving circuit problems. CO3: Analyze simple circuits containing transistors CO4: Understand concept of cellular wireless networks. CO5: Understand Number systems and design basic digital circuits.BTECH.MECHwork_ggji2kgovvhtlh6nq7bk7mukh4Mon, 28 Nov 2022 00:00:00 GMTLocal cohomology on a subexceptional series of representations
https://scholar.archive.org/work/oqqoewxwuzb7dbc4g7b73k3z4i
We consider a series of four subexceptional representations coming from the third line of the Freudenthal-Tits magic square; using Bourbaki notation, these are representations (G , X) corresponding to (C 3 , ω 3 ), (A 5 , ω 3 ), (D 6 , ω 5 ), and (E 7 , ω 6 ). In each case X has five G = G × C-orbits, displaying some uniform behavior, e.g. their dimensions or defining ideals. In this paper, we determine some further invariants and analyze their uniformity within the series. We describe the category of G-equivariant coherent D X -modules as the category of representations of a quiver. We construct explicitly the simple equivariant D-modules and describe their G-structures. We determine the D-module structure of local cohomology modules supported in orbit closures, and calculate intersection cohomology groups and Lyubeznik numbers. While our results for (A 5 , ω 3 ), (D 6 , ω 5 ), (E 7 , ω 6 ) are still completely uniform, the case (C 3 , ω 3 ) displays a surprisingly different behavior, for which we give two explanations: the middle orbit is not simply-connected, and its closure is not Gorenstein. Résumé. -Nous considérons une série de quatre représentations sous-exceptionnelles venant de la troisième ligne du carré magique de Freudenthal-Tits: (G , X) = (C 3 , ω 3 ), (A 5 , ω 3 ), (D 6 , ω 5 ), ou (E 7 , ω 6 ), en utilisant la notation de Bourbaki. Dans chaque cas, X a cinq G = G × C-orbites, qui se révèlent avoir un comportement uniforme, avec par exemple leurs dimensions ou leurs idéaux définissants. Dans cet article, nous obtenons plus d'invariants et nous étudions leur uniformité dans cette série des représentations. Nous décrivons la catégorie des D X -modules cohérentes G-équivariantes, et décrivons leurs G-structures. Nous déterminons, pour les modules de cohomologie locale avec support dans des clôtures d'orbites, leur structure comme D-module, et calculons des groupes de cohomologie d'intersection et des nombres de Lyubeznik. Alors que nos résultats pour (A 5 , ω 3 ), (D 6 , ω 5 ), (E 7 , ω 6 ) sont uniformes, le cas (C 3 , ω 3 ) fait apparaître un comportement différent et unique, pour lequel nous donnons deux explications : l'orbite moyenne n'est pas simplement connexe, et sa clôture n'est pas Gorenstein.András C. Lőrincz, Jerzy Weymanwork_oqqoewxwuzb7dbc4g7b73k3z4iMon, 28 Nov 2022 00:00:00 GMTTropical totally positive cluster varieties
https://scholar.archive.org/work/67ghaudqa5aixkxed4jyxm6csy
We study the relation between the integer tropical points of a cluster variety (satisfying the full Fock-Goncharov conjecture) and the totally positive part of the tropicalization of an ideal presenting the corresponding cluster algebra. Suppose we are given a presentation of the cluster algebra by a Khovanskii basis for a collection of g-vector valuations associated with several seeds related by mutations. In presence of a full rank fully extended exchange matrix we construct the rays of a subfan of the totally positive part of the tropicalization of the ideal that coincides combinatorially with the subgraph of the exchange graph of the cluster algebra corresponding to the collection of seeds. Moreover, geometric information about Gross-Hacking-Keel-Kontsevich's toric degenerations associated with seeds gets identified with the Gröbner toric degenerations obtained from maximal cones in the tropicalization. As application we prove a conjecture about the relation between Rietsch-Williams' valuations for Grassmannians arising from plabic graphs to Kaveh-Manon's work on valuations from the tropicalization of an ideal . In a second application we give a partial answer to the question if the Feigin-Fourier-Littelmann-Vinberg degeneration of the full flag variety in type 𝙰 is isomorphic to a degeneration obtained from the cluster structure.Lara Bossingerwork_67ghaudqa5aixkxed4jyxm6csySun, 27 Nov 2022 00:00:00 GMTParents' primary school selection: The Irish context
https://scholar.archive.org/work/5vjk2tonibaszl6xlavpspb644
Parent 'choice', the recommendation of the Forum on Patronage and Pluralism in the Primary Sector Report (2012) as to how best to reshape the primary school system, via divestment, in order to reflect Irish society's increased diversity was sanctioned in 2012. The aim of divestment was to transfer the patronage of Catholic schools, the predominant form of patronage in the primary school system to a patron of parents' choice. Subsequent National Parent Surveys (2012; 2013) in 43 areas identified 28 areas nationally with sufficient demand for patronage change: the Educate Together (ET) patron was preferred in all but one area. To date, only three existing schools have been divested. Catholic schools are opposing divestment with claims that their parents are satisfied, while the Minister for Education in 2016 pointed to legal and social complexities since the foundation of the Irish State as reasons for the almost negligible divestment. This study returns to three of the national survey sites to explore parents' experiences of their school selection. It draws on one-to-one interviews with 28 parents from contrasting rural and city patronage school systems and inquires into how patronage and religion feature in their selection processes, employing the lens of Bourdieu's interrelated concepts of habitus, capital and field to analyse parents' decision-making experiences in relation to their local contexts. Moreover, it seeks to address the dearth of scholarship on parent choice in the Irish context by extending the work of international and national scholars on how class, ethnicity and religion shape school 'choice' while also providing insights into contemporary debates around school patronage policy reform in Ireland. The thesis further demonstrates that the primary patronage school system is the taken-for granted structure within which all parents make their school selection. The patronage system legitimises patrons and religion and in turn shapes the parents' perceptions and strategies in their school selection in [...]MICHELLE STARRwork_5vjk2tonibaszl6xlavpspb644Fri, 25 Nov 2022 00:00:00 GMTChain-order polytopes: toric degenerations, Young tableaux and monomial bases
https://scholar.archive.org/work/ws3gjhtku5fgziqkkhkntsgm2i
Our first result realizes the toric variety of every marked chain-order polytope (MCOP) of the Gelfand--Tsetlin poset as an explicit Gr\"obner (sagbi) degeneration of the flag variety. This generalizes the Sturmfels/Gonciulea--Lakshmibai/Kogan--Miller construction for the Gelfand--Tsetlin degeneration to the MCOP setting. The key idea of our approach is to use pipe dreams to define realizations of toric varieties in Pl\"ucker coordinates. We then use this approach to generalize two more well-known constructions to arbitrary MCOPs: standard monomial theories such as those given by semistandard Young tableaux and PBW-monomial bases in irreducible representations such as the FFLV bases. In an addendum we introduce the notion of semi-infinite pipe dreams and use it to obtain an infinite family of poset polytopes each providing a toric degeneration of the semi-infinite Grassmannian.Igor Makhlinwork_ws3gjhtku5fgziqkkhkntsgm2iThu, 24 Nov 2022 00:00:00 GMTChanging the nature of digital technology use within the primary school setting
https://scholar.archive.org/work/c7k2iqw5bfecnivzlugthv4mne
Enacting technological change within Australian primary school settings remains a problematic endeavour. Research has long pointed to the difficulty of producing impactful and sustained change in ICT-mediated teaching and learning practices. This study explores the various contextual and cultural factors that influence the nature of technological change within the primary school context – taking a participatory design approach where five groups of teachers and students in one Victorian primary school were supported to co-design and implement technology-based initiatives based on mutually-identified problems and 'real-world' design solutions. The thesis explores the issues that shaped the groups' efforts, concluding with a user-led model for future change endeavours.BIANCA CUMINE-GROZAwork_c7k2iqw5bfecnivzlugthv4mneWed, 23 Nov 2022 00:00:00 GMT"One CSPAP step at a time": Promoting a physically active school culture in an Irish urban post-primary school – planning for infrastructural change
https://scholar.archive.org/work/6a7uvg3xnjhshf4l5vmixfuiwq
This study investigated the implementation of a whole-school physical activity (PA) promotion model, the 'Comprehensive School Physical Activity Programme' (CSPAP), in an Irish urban post-primary school, evaluating its successes and challenges. The study also explored how the CSPAP can inform the planning of a new school building in an urban setting that is promotive of an active school culture. A convergent parallel mixed methods design was adopted, with three phases of data collection lasting nine months: pre-, during and post-CSPAP implementation. The CSPAP intervention was nine weeks in duration. Data was collected from students and staff; this included the 'Student PA Opportunities Questionnaire', focus groups, an interview with senior management and a teacher-researcher journal. Data was analysed thematically following the method of Braun & Clark (2006). Results highlighted a school culture that valued PA through a broad physical education and after-school extra-curricular activities provision. There was a lack of student PA opportunities before and during school, as well as no structured staff PA. Given a lack of on-campus PA infrastructure, the school utilises strong community links to access PA facilities. CSPAP successes included a staff steps initiative which enhanced staff cohesion, and a lunchtime 1st Year dance programme peer-led by 5th Year students. CSPAP challenges were staff time constraints, the school uniform as a PA barrier for female students, and reluctance about classroom movement integration. Green PA spaces in the new school campus was collectively desired. This study helped to address a deficit in post-primary CSPAP literature, and CSPAPs in an Irish context. For sustainable CSPAPs, the findings identify a need for a coordinated and collaborative whole-school implementation effort, with students also leading PA. Barriers to PA participation such as the timing of activities and school uniform should be considered as part of future CSPAP efforts.Alan Finneganwork_6a7uvg3xnjhshf4l5vmixfuiwqWed, 23 Nov 2022 00:00:00 GMTCountry Reputation Theory: Brazil's Brand Image in the United Kingdom
https://scholar.archive.org/work/ojvy6sfnljamtlhqv3po6ehacq
The meaning of a country brand image in the competitive global world is evidently a multidimensional phenomenon, as various stakeholders are involved in the reputation of a country. However, existing research discreetly recognises the presence of theoretical convergences regarding the image of a country (e.g. country-of-origin, country branding, nation branding) and country reputation. Therefore, the aim of this cross-disciplinary research is to rationally explore and describe Brazil's brand image while making advances into the evolution of country reputation theory. By probing associations, perceptions and awareness based on country reputation dimensions, this research scientifically evaluates the case of Brazil considering four stakeholders: the government and the citizens of the country, the media and the residents of the United Kingdom. Philosophically, interpretivism and constructivism are employed in this multifaceted and unique snapshot case study. Methodologically, mixed-method was chosen containing three phases. In Phase I, news coverage and historical documentation were adopted followed by Phase II, which included an elite and expert interview with the Brazilian Government and a focus group with UK residents. Content analysis aligned to thematic analysis was carried out for Phases I and II. In Phase III, two surveys were undertaken with UK residents and with Brazilians using exploratory factor analysis. The analysis and interpretation of the overall results indicated a medium country reputation of Brazil in the UK. The reputation of a country is certainly embodied over time-fixed and temporary associations with a country name, as perceptions are revealed underneath the country-of-origin construct recognised by multiple stakeholders. This research offers a groundwork for future studies on theorising country reputation theory. It also provides support to manage country reputation as the conclusion emphasises integrative and continuous strategies applied to enhance a country reputation within the globalise [...]Fabiana Gondim Mariuttiwork_ojvy6sfnljamtlhqv3po6ehacqTue, 22 Nov 2022 00:00:00 GMTCountry Reputation Theory: Brazil's Brand Image in the United Kingdom
https://scholar.archive.org/work/xfn3snpwdzfpjokbafly2zoxxa
The meaning of a country brand image in the competitive global world is evidently a multidimensional phenomenon, as various stakeholders are involved in the reputation of a country. However, existing research discreetly recognises the presence of theoretical convergences regarding the image of a country (e.g. country-of-origin, country branding, nation branding) and country reputation. Therefore, the aim of this cross-disciplinary research is to rationally explore and describe Brazil's brand image while making advances into the evolution of country reputation theory. By probing associations, perceptions and awareness based on country reputation dimensions, this research scientifically evaluates the case of Brazil considering four stakeholders: the government and the citizens of the country, the media and the residents of the United Kingdom. Philosophically, interpretivism and constructivism are employed in this multifaceted and unique snapshot case study. Methodologically, mixed-method was chosen containing three phases. In Phase I, news coverage and historical documentation were adopted followed by Phase II, which included an elite and expert interview with the Brazilian Government and a focus group with UK residents. Content analysis aligned to thematic analysis was carried out for Phases I and II. In Phase III, two surveys were undertaken with UK residents and with Brazilians using exploratory factor analysis. The analysis and interpretation of the overall results indicated a medium country reputation of Brazil in the UK. The reputation of a country is certainly embodied over time-fixed and temporary associations with a country name, as perceptions are revealed underneath the country-of-origin construct recognised by multiple stakeholders. This research offers a groundwork for future studies on theorising country reputation theory. It also provides support to manage country reputation as the conclusion emphasises integrative and continuous strategies applied to enhance a country reputation within the globalise [...]Fabiana Gondim Mariuttiwork_xfn3snpwdzfpjokbafly2zoxxaTue, 22 Nov 2022 00:00:00 GMTMaking Scientific Peer Review Scientific
https://scholar.archive.org/work/5waxaog6mzbpde3hdsrzol3ote
Nowadays many important applications such as hiring, university admissions, and scientific peer review rely on the collective efforts of a large number of individuals. These applications often operate at an extremely large scale which creates both opportunities and challenges. On the opportunity side, the large amount of data generated in these applications enables a novel data science perspective on the classical problem of decision-making. On the challenge side, in many of these applications, human decision-makers need to interact with various interfaces and algorithms, and follow various policies. When not carefully designed, such interfaces, algorithms, and policies may lead to unintended consequences. Identifying and overcoming such unintended consequences is an important research problem. In this thesis, we explore these opportunities and tackle these challenges with a general goal of understanding and improving distributed human decision-making in a principled manner. One application where the need for improvement is especially strong is scientific peer review. On the one hand, peer review is the backbone of academia, and scientific community agrees on the importance of improvement of the system. On the other hand, peer review is a microcosm of distributed decision-making that features a complex interplay between noise, bias, and incentives. Thus, insights learned from this specific domain apply to many other areas where similar problems arise. All in all, in this thesis, we aim at developing a principled approach towards scientific peer review—an important prerequisite for fair, equitable, and efficient progression of science. The three broad challenges that arise in peer review are noise, bias, and incentives. In this thesis, we work on each of these challenges: Noise and reviewer assignment. A suitable choice of reviewers is a cornerstone of peer review: poor assignment of reviewers to submissions may resul [...]Ivan Stelmakhwork_5waxaog6mzbpde3hdsrzol3oteFri, 18 Nov 2022 00:00:00 GMTA_r-stable curves and the Chow ring of ℳ_3
https://scholar.archive.org/work/4a4tcr5hengihjpp452pfwqkbq
In this work, we introduce the moduli stack ℳ_g,n^r of n-pointed, A_r-stable curves of genus g and use it to compute the Chow ring of ℳ_3. As a byproduct, we also compute the Chow ring of ℳ_3^7. All the Chow rings are assumed to be with coefficients in ℤ[1/6].Michele Pernicework_4a4tcr5hengihjpp452pfwqkbqThu, 17 Nov 2022 00:00:00 GMT