scholarly journals Relational Structures of Fundamental Theories

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Pierre Martin-Dussaud
Keyword(s):  
Relational Structures

Binary Relational Structures Having Only Countably Many Nonisomorphic Substructures

1991 ◽  
Vol 56 (3) ◽  
pp. 876-884
Author(s):  
Dugald MacPherson ◽  
James H. Schmerl
Keyword(s):  
Relational Structures

Item Relational Structure Theory Based on Liu’s Improved Nonparametric IRT Theory

2013 ◽  
Vol 479-480 ◽  
pp. 1193-1196
Author(s):  
Hsiang Chuan Liu ◽  
Yen Kuei Yu ◽  
Hsien Chang Tsai
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Joint Probability ◽  
Relational Structure ◽  
Structure Theory ◽  
Response Theory ◽  
Nonparametric Item Response Theory ◽  
Relational Structures ◽  
Relational Structure Theory ◽  
Nonparametric Item Response

In this paper, an extensional item relational structure theory based on the improved nonparametric item response theory is proposed. Item relational structure theory (Takeya, 1991) was developed to detect item relational structures of a group of subjects. The differences of these structures and experts knowledge structures can provide more information for planning remedial instruction, developing instruction materials, or educational researches. In this study, Lius improved nonparametric item response theory ( Liu, 2000, 2013) without the local independence assumption is used to estimate the joint probability of two items, and construct personal item relational structures. A Mathematics example is also provided in this paper to illustrate the advantages of the proposed method

scholarly journals Algebras Describing Pseudocomplemented, Relatively Pseudocomplemented and Sectionally Pseudocomplemented Posets

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 753
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Universal Algebra ◽  
Relational Structures ◽  
Pseudocomplemented Poset ◽  
The Given ◽  
The Relationship ◽  
Congruence Properties

In order to be able to use methods of universal algebra for investigating posets, we assigned to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset, a certain algebra (based on a commutative directoid or on a λ-lattice) which satisfies certain identities and implications. We show that the assigned algebras fully characterize the given corresponding posets. A certain kind of symmetry can be seen in the relationship between the classes of mentioned posets and the classes of directoids and λ-lattices representing these relational structures. As we show in the paper, this relationship is fully symmetric. Our results show that the assigned algebras satisfy strong congruence properties which can be transferred back to the posets. We also mention applications of such posets in certain non-classical logics.

Weakly atomic-compact relational structures

1971 ◽  
Vol 36 (1) ◽  
pp. 129-140 ◽  
Author(s):  
G. Fuhrken ◽  
W. Taylor
Keyword(s):  
Abelian Group ◽  
Model Theory ◽  
Compact Abelian Group ◽  
Finite Subset ◽  
Relational Structure ◽  
Similarity Type ◽  
First Order ◽  
Relational Structures ◽  
Order Language ◽  
Weakly Atomic

A relational structure is called weakly atomic-compact if and only if every set Σ of atomic formulas (taken from the first-order language of the similarity type of augmented by a possibly uncountable set of additional variables as “unknowns”) is satisfiable in whenever every finite subset of Σ is so satisfiable. This notion (as well as some related ones which will be mentioned in §4) was introduced by J. Mycielski as a generalization to model theory of I. Kaplansky's notion of an algebraically compact Abelian group (cf. [5], [7], [1], [8]).

Relationships, sustainability and agri-food purchasing behaviour in farmer markets in Italy

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Vera Teresa Foti ◽  
Giuseppe Timpanaro
Keyword(s):  
Business Strategy ◽  
Food Systems ◽  
Methodological Approach ◽  
Sustainable Consumption ◽  
Farmers Markets ◽  
Sustainable Supply Chain ◽  
Current Crisis ◽  
Content Type ◽  
Relational Structures ◽  
Behavioural Model

PurposeThe study aims to demonstrate that farmers' markets can represent a model of environmental, social and governance reference for modern agri-food systems facing the challenge of post COVID-19 pandemic reconstruction, responding to consumer expectations in terms of health, safety and wholesomeness of agri-food products.Design/methodology/approachA sample of consumers was surveyed in farmers' markets and social network analysis (SNA) was adopted as a methodological approach to reconstruct the links between the worlds of production and consumption and to derive the relative importance attributed to various factors that promote relational structures.FindingsThe work demonstrates the importance of sustainability – as a productive and behavioural model of firms – for the construction of efficient and durable relationship systems in two farmer markets in Sicily. In particular, four fundamental components emerge in the construction of networks represented by consumer sensitivity to sustainability processes, the individual behavioural model of purchasing and consumption, the expectation of political direction and the level and factors of knowledge of the firm. The clustering elements of the relationships were found to be the territory and local products, the environmentalist attitude and the protection of resources, as well as the adoption of a rational waste disposal policy, the fight against food waste, the encouragement of healthier and more sustainable consumption styles, clear and transparent communication and the activation of sustainable supply chain processes in line with the Sustainable Development Goals (SDGs).Originality/valueThe paper aims to demonstrate how alternative food systems can become a useful model for large enterprises, which are committed to rebuilding their business strategy to overcome the current crisis.

A Pigeonhole Property for Relational Structures

1999 ◽  
Vol 45 (3) ◽  
pp. 409-413 ◽  
Author(s):  
Anthony Bonato ◽  
Dejan Delić
Keyword(s):  
Relational Structures

scholarly journals Taking the Relational Structure of Fractions Seriously: Relational Reasoning Predicts Fraction Knowledge in Elementary School Children

2019 ◽  
Author(s):  
Priya B. Kalra ◽  
Edward M. Hubbard ◽  
Percival G Matthews
Keyword(s):  
Second Graders ◽  
Fifth Grade ◽  
Second Grade ◽  
Relational Reasoning ◽  
Reasoning Ability ◽  
Verbal Iq ◽  
Relational Structures ◽  
Fifth Grade Students ◽  
Magnitude Processing ◽  
General Test

Understanding and using symbolic fractions in mathematics is critical for access to advanced STEM concepts. However, children and adults consistently struggle with fractions. Here, we take a novel perspective on symbolic fractions, considering them within the framework of relational structures in cognitive psychology, such as those studied in analogy research. We tested the hypothesis that relational reasoning ability is important for reasoning about fractions by examining the relation between scores on a domain-general test of relational reasoning (TORR Jr.) and a test of fraction knowledge consisting of various types of fraction problems in 201 second grade and 150 fifth grade students. We found that relational reasoning was a significant predictor of fractions knowledge, even when controlling for non-verbal IQ and fractions magnitude processing for both grades. The effects of relational reasoning also remained significant when controlling for overall math knowledge and skill for second graders, but was attenuated for fifth graders. These findings suggest that this important subdomain of mathematical cognition is integrally tied to relational reasoning and opens the possibility that instruction targeting relational reasoning may prove to be a viable avenue for improving children’s fractions skills.

scholarly journals Ontology of opposition online. Representing antagonistic structures on the Internet

2020 ◽  
Vol 9 (1) ◽  
pp. 35-61 ◽  
Author(s):  
Benjamin Krämer ◽  
Nina Springer
Keyword(s):  
Social Structures ◽  
Conflict Behavior ◽  
The Internet ◽  
Structural Elements ◽  
Relational Structures ◽  
Online Platforms ◽  
Interpretative Analysis ◽  
Scholarly Attention

Research on cooperative social structures and particular types of conflict behavior online is readily available. However, the field lacks a framework to analyze how antagonistic structures are represented on online platforms. Social structures can be represented formally (manifestly) or informally (in open verbal or visual forms) or remain latent - a distinction that has received little scholarly attention in the analysis of computermediated communication. Based on an interpretative analysis of relational structures and types of acts, we distinguish structural elements that lead us to empirical typologies of antagonistic structures and an analysis of whether and how they are represented online. We develop theses about why some structures are formally represented more often than others and theorize the consequences of this selective representation.

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