Search results for "Category theory"

showing 10 items of 1172 documents

Impact of the Agent’s Environment on Discretion in the Field of EU Conflict Resolution

2017

Employing an agent–principal perspective on EU conflict resolution and focusing on the politics of discretion, we argue that the context in which the agent acts affects the principal–agent relation. Our conceptualization draws on the agent’s actions as a source of discretion, which can be either an unintentional product of the characteristics of the external environment in which the agent performs (structure-induced discretion) or a product of intentionally pursued agent action (interest-induced discretion). Focusing particularly on the European External Action Service, we find that the agent can exploit urgency and third party interplay as characteristics of EU conflict resolution in order…

Conceptualizationbusiness.industrymedia_common.quotation_subjectField (Bourdieu)05 social sciencesContext (language use)Public relationsDiscretion050601 international relations0506 political scienceAction (philosophy)Order (exchange)Conflict resolution050602 political science & public administrationBusinessProduct (category theory)Law and economicsmedia_common
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New Insights into the Structure of the Vapor/Water Interface from Large-Scale First-Principles Simulations

2015

We present extensive ab initio simulations of the molecular arrangements at the vapor/water interface, which provide valuable insights into the interface structure. In particular, the simulations address the controversy of whether there is a significant amount of nondonor configurations at this prototypical interface, using a novel Car-Parrinello-like ab initio molecular dynamics approach. The interface is modeled by a system of 384 water molecules for 125 ps in a two-dimensional periodic slab, the most extensive ab initio molecular dynamics simulation to date. In contrast to previous theoretical simulations and X-ray absorption spectroscopy, but consistent with sum-frequency generation exp…

Condensed Matter::Materials ScienceAbsorption spectroscopyScale (ratio)Hydrogen bondInterface (Java)ChemistryAb initioSlabStructure (category theory)MoleculeGeneral Materials SciencePhysical and Theoretical ChemistryMolecular physicsThe Journal of Physical Chemistry Letters
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Fuzzy Control of Uncertain Nonlinear Systems with Numerical Techniques: A Survey

2019

This paper provides an overview of numerical methods in order to solve fuzzy equations (FEs). It focuses on different numerical methodologies to solve FEs, dual fuzzy equations (DFEs), fuzzy differential equations (FDEs) and partial fuzzy differential equations (PFDEs). The solutions which are produced by these equations are taken to be the controllers. This paper also analyzes the existence of the roots of FEs and some important implementation problems. Finally, several examples are reviewed with different methods.

Condensed Matter::Quantum GasesComputer scienceNumerical analysisFuzzy differential equations010103 numerical & computational mathematics02 engineering and technologyFuzzy control system01 natural sciencesFuzzy logicDual (category theory)Nonlinear systemComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processing0101 mathematics
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Structure and Thermodynamics of Binary Mixtures (Solutions)

2014

The concepts of chapter 2 are generalized to binary liquid mixtures (solutions). With the help of the concept of number and concentration fluctuations contact to the thermodynamics of solutions and physical chemistry of solutions is made. The perturbative RPA is shown to be equivalent to Flory’s theory of regular solutions. The phase diagrams of regular solutions and metal-salt solutions are discussed and explained in terms of the theories.

Condensed Matter::Soft Condensed MatterPhysicssymbols.namesakesymbolsRegular solutionStructure (category theory)Binary numberThermodynamicsGibbs free energyPhase diagram
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Mond's conjecture for maps between curves

2017

A theorem by D. Mond shows that if f:(C,0)→C2,0 is finite and has has degree one onto its image (Y, 0), then the Ae-codimension is less than or equal to the image Milnor number μI(f), with equality if and only if (Y, 0) is weighted homogeneous. Here we generalize this result to the case of a map germ f:(X,0)→C2,0, where (X, 0) is a plane curve singularity.

ConjectureDegree (graph theory)Plane curveGeneral MathematicsImage (category theory)010102 general mathematicsMathematical analysisCodimension01 natural sciencesMilnor numberCombinatoricsSingularity0103 physical sciencesGerm010307 mathematical physics0101 mathematicsMathematicsMathematische Nachrichten
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Separation properties of continuous maps in codimension 1 and geometrical applications

1992

Abstract Nuno Ballesteros, J.J. and M.C. Romero Fuster, Separation properties of continuous maps in codimension 1 and geometrical applications, Topology and its Applications 46 (1992) 107-111. We show that the image of a proper closed continuous map, f , from an n -manifold X to an ( n + 1)-manifold Y , such that H 1 (Y; Z 2 ) =0 , separates Y into at least two connected components provided the self-intersections set of f is not dense in any connected component of Y . We also obtain some geometrical applications.

Connected componentPure mathematicsContinuous mapImage (category theory)Alexander-Čech cohomology with compact supportCodimensionconvex curvesManifoldSet (abstract data type)Combinatoricsquasi-regular immersionsTangent developableGeometry and Topologyself-intersections setConnected componentstangent developableTopology (chemistry)MathematicsTopology and its Applications
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On fuzzification of topological categories

2014

This paper shows that (L,M)-fuzzy topology of U. Hohle, T. Kubiak and A. Sostak is an instance of a general fuzzification procedure for topological categories, which amounts to the construction of a new topological category from a given one. This fuzzification procedure motivates a partial dualization of the machinery of tower extension of topological constructs of D. Zhang, thereby providing the procedure of tower extension of topological categories. With the help of this dualization, we arrive at the meta-mathematical result that the concept of (L,M)-fuzzy topology and the notion of approach space of R. Lowen are ''dual'' to each other.

Connected spaceTopological algebraArtificial IntelligenceLogicMathematics::Category TheoryCategory of topological spacesGeneral topologyTopological spaceTopologyTopological vector spaceHomeomorphismMathematicsTopological categoryFuzzy Sets and Systems
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Learning About Forces Using Multiple Representations

2017

We present two research-based interventions to measure upper secondary student learning of forces using multiple representations (MRs). The first intervention is the Representational Variant of the Force Concept Inventory (R-FCI) – a multiple-choice test for evaluating students’ representational consistency in answering triplets of isomorphic items in the context of forces. The second intervention is an interaction diagram (ID) – a visual representation that helps students to identify forces resulting from interactions between two objects. Students’ representational consistency on the R-FCI pre-test correlated with their normalised learning gain on the Force Concept Inventory (FCI) suggesti…

Consistency (negotiation)Diagram (category theory)Interaction overview diagramContext (language use)Free body diagramPsychologyRepresentation (mathematics)Force Concept InventoryTest (assessment)Cognitive psychology
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Numerical decomposition of geometric constraints

2005

Geometric constraint solving is a key issue in CAD/CAM. Since Owen's seminal paper, solvers typically use graph based decomposition methods. However, these methods become difficult to implement in 3D and are misled by geometric theorems. We extend the Numerical Probabilistic Method (NPM), well known in rigidity theory, to more general kinds of constraints and show that NPM can also decompose a system into rigid subsystems. Classical NPM studies the structure of the Jacobian at a random (or generic) configuration. The variant we are proposing does not consider a random configuration, but a configuration similar to the unknown one. Similar means the configuration fulfills the same set of inci…

Constraint (information theory)AlgebraSet (abstract data type)symbols.namesakeMathematical optimizationProbabilistic methodJacobian matrix and determinantsymbolsStructure (category theory)CADGas meter proverMathematicsIncidence (geometry)Proceedings of the 2005 ACM symposium on Solid and physical modeling
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Consumer expectations and perceptions of meat and meat product quality

2011

This paper presents the determinants of perceived quality viewed by different authors. Then, it sets the factors of quality from purchase to consumption and some mechanisms of change over time. After this general presentation, the distinctive features of food and the particular place of meat and meat products among foods are underlined. Important credence and experience attributes as well as quality cues for meat and meat products are then presented through results from previous works. Finally, the advantages but also the limitations of present methodologies used in quality research are presented and some orientations for future research are suggested.

Consumption (economics)Change over timeCredencemedia_common.quotation_subject0402 animal and dairy science04 agricultural and veterinary sciences[SDV.IDA] Life Sciences [q-bio]/Food engineering040401 food science040201 dairy & animal sciencePerceived quality0404 agricultural biotechnologyQuality researchPerception[SDV.IDA]Life Sciences [q-bio]/Food engineeringQuality (business)Food scienceBusinessProduct (category theory)MarketingComputingMilieux_MISCELLANEOUSFood Sciencemedia_common
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