scholarly journals Surjective Identifications of Convex Noetherian Separations in Topological (C, R) Space

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 783
Author(s):  
Susmit Bagchi
Keyword(s):  
Identity Element ◽  
Multiplicative Group ◽  
Group Structure ◽  
Hybrid Structure ◽  
Alternative Form ◽  
Connected Components ◽  
Local Homeomorphism ◽  
Planar Convex ◽  
The Right ◽  
Group Structures

The interplay of symmetry of algebraic structures in a space and the corresponding topological properties of the space provides interesting insights. This paper proposes the formation of a predicate evaluated P-separation of the subspace of a topological (C, R) space, where the P-separations form countable and finite number of connected components. The Noetherian P-separated subspaces within the respective components admit triangulated planar convexes. The vertices of triangulated planar convexes in the topological (C, R) space are not in the interior of the Noetherian P-separated open subspaces. However, the P-separation points are interior to the respective locally dense planar triangulated convexes. The Noetherian P-separated subspaces are surjectively identified in another topological (C, R) space maintaining the corresponding local homeomorphism. The surjective identification of two triangulated planar convexes generates a quasiloop–quasigroupoid hybrid algebraic variety. However, the prime order of the two surjectively identified triangulated convexes allows the formation of a cyclic group structure in a countable discrete set under bijection. The surjectively identified topological subspace containing the quasiloop–quasigroupoid hybrid admits linear translation operation, where the right-identity element of the quasiloop–quasigroupoid hybrid structure preserves the symmetry of distribution of other elements. Interestingly, the vertices of a triangulated planar convex form the oriented multiplicative group structures. The surjectively identified planar triangulated convexes in a locally homeomorphic subspace maintain path-connection, where the right-identity element of the quasiloop–quasigroupoid hybrid behaves as a point of separation. Surjectively identified topological subspaces admitting multiple triangulated planar convexes preserve an alternative form of topological chained intersection property.

scholarly journals Topological Properties of Braid-Paths Connected 2-Simplices in Covering Spaces under Cyclic Orientations

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2382
Author(s):  
Susmit Bagchi
Keyword(s):  
Multiplicative Group ◽  
Equivalence Classes ◽  
Fundamental Groups ◽  
Local Homeomorphism ◽  
Covering Spaces ◽  
Trivial Group ◽  
Algebraic Forms ◽  
Simply Connected ◽  
Path Homotopy ◽  
Group Structures

In general, the braid structures in a topological space can be classified into algebraic forms and geometric forms. This paper investigates the properties of a braid structure involving 2-simplices and a set of directed braid-paths in view of algebraic as well as geometric topology. The 2-simplices are of the cyclically oriented variety embedded within the disjoint topological covering subspaces where the finite braid-paths are twisted as well as directed. It is shown that the generated homotopic simplicial braids form Abelian groups and the twisted braid-paths successfully admit several varieties of twisted discrete path-homotopy equivalence classes, establishing a set of simplicial fibers. Furthermore, a set of discrete-loop fundamental groups are generated in the covering spaces where the appropriate weight assignments generate multiplicative group structures under a variety of homological formal sums. Interestingly, the resulting smallest non-trivial group is not necessarily unique. The proposed variety of homological formal sum exhibits a loop absorption property if the homotopy path-products are non-commutative. It is considered that the topological covering subspaces are simply connected under embeddings with local homeomorphism maintaining generality.

Principle-driven virtual care practice to ensure quality and accessibility

2021 ◽  
Vol 7 (2) ◽  
pp. 81-84
Author(s):  
Kendell Ho ◽  
Ken Harris ◽  
Toni Leamon
Keyword(s):  
Health Care ◽  
Health Professionals ◽  
Care Delivery ◽  
Digital Health ◽  
Professional Community ◽  
Alternative Form ◽  
Care Practice ◽  
Face To Face ◽  
Virtual Care ◽  
The Right

COVID-19 has accelerated the use of telehealth or virtual care (VC) as an alternative form of health care delivery. Clearly, VC provides unprecedented convenience and timeliness for patients seeking care from their health professionals. As a result, a substantial increase in telehealth providers is occurring, and the Canadian government is investing millions to support digital health care treatments and telehealth services. However, it is vital that the health professional community carefully examine the quality of care being delivered digitally and determine when it is appropriate to use VC as an alternative to face-to-face care. This article highlights some principles for health policymakers, health professionals, and health consumers to consider to ensure that VC is used appropriately and ethically for the right health conditions and in the right contexts.

scholarly journals SOME GROUP THEORETIC ASPECTS OF t-NORMS

2000 ◽  
Vol 08 (01) ◽  
pp. 1-6 ◽  
Author(s):  
FRED RICHMAN ◽  
ELBERT WALKER
Keyword(s):  
Automorphism Group ◽  
Multiplicative Group ◽  
Order Relation ◽  
Unit Interval ◽  
Real Numbers ◽  
Positive Real ◽  
Explicit Formulas ◽  
One To One ◽  
The Right ◽  
Usual Order

Let A be the automorphism group of the unit interval with its usual order relation, and let ℝ+ be the embedding of the multiplicative group of positive real numbers into A given by exponentiation. Strict t-norms are in one-to-one correspondence with the right cosets of ℝ+ in A. Here, we identify the normalizer of ℝ+ in A and give explicit formulas for the corresponding set of t-norms.

scholarly journals Does Addition of Perch Larvae as Prey Affect the Growth, Development and Cannibalism Rate of Pikeperch Larvae?

Fishes ◽  
2019 ◽  
Vol 4 (1) ◽  
pp. 21 ◽  
Author(s):  
Aurore Cortay ◽  
Tatiana Colchen ◽  
Pascal Fontaine ◽  
Alain Pasquet
Keyword(s):  
Group Structure ◽  
Stocking Density ◽  
Perca Fluviatilis ◽  
Experimental Conditions ◽  
Live Prey ◽  
Cultured Fish ◽  
Cannibalism Rate ◽  
Two Parameters ◽  
Size Heterogeneity ◽  
Group Structures

Cannibalism occurs in many cultured fish species, especially at the larval and juvenile stages of piscivorous taxa. In farmed percid species, such as pikeperch (Sander lucioperca), intra-cohort cannibalism is a major issue inducing significant losses of the initial stocking density during the first weeks of rearing. Therefore, the present study was designed to investigate the effects of perch larvae (Perca fluviatilis) as live prey on growth, survival and cannibalism in pikeperch larvae under experimental conditions. Additionally, zootechnical and behavioural variables linked to aggressiveness (S postures, attacks, bites and ingestion), and group structures were considered. The survival rate was not different between the two groups (72% with prey vs. 69% without prey), but the cannibalism rate was higher in the group with the prey (28% vs. 10%). The means of final weight and length of pikeperch larvae were higher in the group fed with perch larvae, but size heterogeneity measured by the coefficients of variation for these two parameters did not differ. The specific growth rate was higher in the group fed with perch larvae, but there was no difference between the two groups concerning Fulton’s condition factor. Among all the behavioural variables (aggressiveness, group structure), none differed between the two groups.

scholarly journals Educating Anglicans: A case study investigating group work in the Church of England

2014 ◽  
Vol 48 (1) ◽  
Author(s):  
Roger Grainger
Keyword(s):  
Group Work ◽  
Church Of England ◽  
Group Structure ◽  
Dominant Role ◽  
Dominant Form ◽  
The North ◽  
Actual Learning ◽  
Group Structures ◽  
The Church

The dominant form of group work in the Church of England is educational and directive. An investigation was carried out to determine whether other forms of group work could be valuable for the Church in addition to this approach. The same group of nine members, members of two Church of England parishes in the North of England, were involved in 12 sessions of group work, four sessions of each of the three types of group structure, in order for them to report their individual reactions to each type. An Interpretive Phenomenological Analysis (IPA) showed that all three kinds of groups drew attention to four principle areas of comment. In all these kinds of groups, belonging, safety, enrichment and personalvalidation, with each one of the three groups scoring more highly than the other two on one or other of these dimensions. No group showed itself as more directly educational than the others, showing that, for church educational purposes, a range of group structures maybe used as actual learning comes from the experience of group membership itself. Using the qualitative research model of IPA, an investigation was carried out into the principal themes emerging from members’ self-reports concerning their experiences of the three different group structures, revealing four value constructs – belonging or alienation, safety or danger, enrichment or impoverishment and validation or rejection – which played a dominant role in all three kinds of groups. Taken together, each of the three group structures gave a different degree of prominence to each of the four evaluative constructs so that each of the three was shown to be particularly relevant for, and associated with, a particular area of experiential learning.Die onderrig van Anglikane – ’n ondersoek na groepwerk in die Kerk van Engeland: ’n gevallestudie. Die belangrikste vorm van groepwerk in die Kerk van Engeland is opvoedkundig en rigtinggewend van aard. ’n Ondersoek is gedoen na die waarde van bykomende metodes van groepwerk. Dieselfde groep van nege lede uit twee gemeentes in die Noorde van Engeland, was by die 12 groepwerksessies betrokke – vier sessies vir elk van die drie tipes groepstrukture – om hulle in staat te stel om hulle onderskeie reaksies op elkeen van die tipes groepstrukture te rapporteer. ’n Interpretiewe fenomenologiese analise het aangetoon dat al drie tipes groepstrukture die soeklig op vier hoofkenmerke laat val het, naamlik om te behoort, veiligheid, verryking en bevestigingvan eiewaarde. By elke groep het een of meer van hierdie kenmerke swaarder geweeg as by die ander twee groepe. Geeneen van die groepe het opvoedkundig meer as die ander uitgestaan nie, wat bewys dat ’n reeks groepstrukture vir kerklike opvoedkundige doeleindes gebruik kan word, aangesien leer in wese uit die ervaring van die groeplede self kom. Met behulp van die kwalitatiewe navorsingsmodel van die interpretiewe fenomenologiese analise is ondersoek ingestel na die hooftemas soos blyk uit die lede se individuele verslae ten opsigte van hulle ervaring van die drie verskillende groepstrukture. Die verslae het vier waardekonsepte openbaar wat ’n dominante rol in al drie tipes groepe gespeel het, naamlik om te behoort of te vervreem, veiligheid of gevaar, verryking of verarming, en bevestiging van eiewaarde of verwerping. Samevattend blyk dat die drie groepstrukture elkeen ’n ander graad van prominensie aan die vier verskillende waardekonsepte toeken sodat elke groep spesifiek relevant is vir en geassosieer word met ’n spesifieke area van ervaringsleer.

Quasi-linear Cycle Sets and the Retraction Problem for Set-theoretic Solutions of the Quantum Yang-Baxter Equation

2016 ◽  
Vol 23 (01) ◽  
pp. 149-166 ◽  
Author(s):  
Wolfgang Rump
Keyword(s):  
Abelian Group ◽  
Algebraic System ◽  
Binary Operation ◽  
Group Structure ◽  
Baxter Equation ◽  
Proper Extension ◽  
Group Structures ◽  
New Evidence

Cycle sets were introduced to reduce non-degenerate unitary Yang-Baxter maps to an algebraic system with a single binary operation. Every finite cycle set extends uniquely to a finite cycle set with a compatible abelian group structure. Etingof et al. introduced affine Yang-Baxter maps. These are equivalent to cycle sets with a specific abelian group structure. Abelian group structures have also been essential to get partial results for the still unsolved retraction problem. We introduce two new classes of cycle sets with an underlying abelian group structure and show that they can be transformed into each other while keeping the group structure fixed. This leads to a proper extension of the retractibility conjecture and new evidence for its truth.

Analysis of Major Group Structures Used for Nuclear Reactor Simulations

2018 ◽  
Author(s):  
Marco Di Filippo ◽  
Jiri Krepel ◽  
Konstantin Mikityuk ◽  
Horst-Michael Prasser
Keyword(s):  
Cross Sections ◽  
Nuclear Reactor ◽  
Group Structure ◽  
Major Group ◽  
Computational Time ◽  
Sensitivity Threshold ◽  
Energy Structure ◽  
Reactor Spectrum ◽  
Group Structures ◽  
The Impact

Nuclear reactor simulation is often based on multi-group cross-section libraries. The structure and resolution of these libraries have a strong influence on the accuracy and computational time; hence, number of groups and energy structure must be carefully considered. The relationship between group structures and how they impact generated cross-sections can be a critical parameter. Common energy boundaries shared among major group structures were identified and the relative kinship among those was reconstructed in an effort to build a family tree of major group structures. Stochastic code Serpent2 [1] was employed to generate cross-sections of selected isotopes at different reactor compositions and conditions, using the investigated energy group structures. The impact on their generation was quantified by spectral weighted deviation. The 35 major energy structures were divided into three basic families. The key parameters distinguishing them were their applicability to thermal or fast reactors and their applicability in neutronic or multiphysics investigations. A sensitivity threshold of the generated cross-sections over the group structure resolution was investigated. The aim was to identify a group structure with very low dependency on the actual reactor spectrum.

The Basis For A Neurobiological-Associative Model of Personality and Group Cohesion: The Evolutionary And System Biological Origins Of Social Exclusion, Hierarchy, and Structure

2020 ◽  
Author(s):  
Michael Thomas
Keyword(s):  
Social Interaction ◽  
Social Exclusion ◽  
Feedback Loop ◽  
Group Structure ◽  
Social Systems ◽  
Group Cohesiveness ◽  
Associative Model ◽  
Environmental Conditioning ◽  
The Social ◽  
Group Structures

By using a systems biological perspective and available literature on human social interaction, grouping, and cohesiveness, a new coherent model is proposed that integrates existing social integration and neurobiological research into a theoretical neurobiological framework of personality and social interaction. This model allows for the coherent analysis of complex social systems and interactions within them, and proposes a framework for estimating group cohesiveness and evaluating group structures in order to build and organize optimized social groups. This „Neurobiological-Associative“ model proposes two primary feedback loops, with environmental conditioning (learning) being sorted into an associative model that modulates interaction with the social environment, and which impacts the second feedback loop involving the individuals' neurobiological capacity. In this paper, the concept of neurobiological capacity is developed and based upon contemporary research on intelligence, personality, and social behavior with a focus on the oxytocin, serotonin, and dopamine systems. The basis of social exclusion and group structure is thus, expressed in the very most simple terms, neurobiological compatibility and risk assessment modulated by an internal associative model.

A NEW MODEL OF THE LEARNING PROCESS FOR INNOVATION TEAMS: NETWORKED NOMINAL PAIRS

2009 ◽  
Vol 13 (04) ◽  
pp. 521-535 ◽  
Author(s):  
ROBERT DEW ◽  
GREG HEARN
Keyword(s):  
Group Structure ◽  
Past Research ◽  
Structural Type ◽  
Nominal Group ◽  
Management Approach ◽  
Business Managers ◽  
Significant Difference ◽  
Nominal Groups ◽  
Innovation Teams ◽  
Group Structures

This paper examines how to structure resource-constrained innovation teams in order to maximise learning and creativity within organisations. Past research suggest that nominal groups (based on independent operations by individuals) outperform interactive groups. The results of this study suggest hybrid group structures based on independent operating pairs can be as effective as nominal groups. The study segmented 672 business managers and university post-graduate students into nominal, hybrid and interactive groups of six members. Three groups (one of each structural type) were pitted against each other to solve 4 related puzzles as quickly as possible. The results of these 28 problem-solving task races were aggregated to determine which group structure was most productive. Overall, the results confirmed that nominal groups of six significantly outperform interactive groups of the same size. More importantly, however, the results showed no significant difference between the productivity of nominal groups of six and hybrid groups comprised of three interactive pairs, where each pair operated separately to complete the same puzzle in parallel with the rest of the group. This suggests that structuring innovation teams into networked, nominal pairs may be just as productive as purely nominal group structures. This significantly extends the existing research on nominal groups versus interactive groups as it suggests that completely eliminating interactivity is not the optimal management approach.

Study on Structure Effect and Structure Reconstructing Controlling Disaster Mode of Cavity Group-Surrounding Rock System Catastrophe

2014 ◽  
Vol 912-914 ◽  
pp. 1755-1765
Author(s):  
Hong Sen Luo ◽  
Qing Fa Chen
Keyword(s):  
Large Scale ◽  
Group Structure ◽  
Process Analysis ◽  
New Technology ◽  
Failure Process ◽  
Structure Effect ◽  
The Third ◽  
Study Results ◽  
Group Structures ◽  
Poor Stability

The large scale cavity group structures failure phenomena often appear in the catastrophe process of the complicated cavity groups system, so, it is very important to study the structure effect of cavity group for controlling disaster in engineering and coordinating mining of the hidden danger resources. The cavity group structure were defined and classified. The structure effect of the fifteen kinds of working condition was simulated by using Rock Failure Process Analysis code (RFPA2D). the results show as follows: 1) The stability order of the typical cavity group structures was the second one, the third one and the first one; 2) The phenomena of small cavities interpenetrating and forming a big cavity often appeared in the kinds of the first and the third structure in the process of system Catastrophe, but not in second structure; 3) The system appeared catastrophe easily with the number rising of the first structure, the third structure taking the second place and the second structure taking the last place; 4) The risk of the system consisting of two groups of the third structures was greater than one of the system consisting of one group of the first structure; 5) The more the number of the poor stability structures is in the up of system, the more poor stability the system had; 6) the same structures were placed in the upper and lower order in system, the lower structure would appear prior into the failure and instability status. Based on the above analysis on structure effect, the new technology mode of controlling disaster of structure reconstructing was proposed, and the strategy of controlling disaster was also studied. The study results would provide the support for controlling disaster in China's mines with complicated cavity groups.

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