1,267 research outputs found
Cognitive processing of spatial relations in Euclidean diagrams
The cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relationsβmetric vs topological and exact vs co-exactβintroduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design. In the first part, we tested whether the processing of metric vs topological relations yielded the same hemispheric specialization as the processing of coordinate vs categorical relations. In the second part, we investigated the specific performance patterns for the processing of five pairs of exact/co-exact relations, where stimuli for the co-exact relations were divided into three categories depending on their distance from the exact case. Regarding the processing of metric vs topological relations, hemispheric differences were found for only a few of the stimuli used, which may indicate that other processing mechanisms might be at play. Regarding the processing of exact vs co-exact relations, results show that the level of agreement among participants in judging co-exact relations decreases with the distance from the exact case, and this for the five pairs of exact/co-exact relations tested. The philosophical implications of these empirical findings for the epistemological analysis of Euclid's diagram-based geometric practice are spelled out and discussed
ΠΠ½Π²Π΅ΡΡΠΈΡΡΠΉΠ½Π΅ ΠΊΡΠ΅Π΄ΠΈΡΡΠ²Π°Π½Π½Ρ ΠΏΠ΅ΡΠ΅ΡΠΎΠ±Π½ΠΈΡ ΠΏΡΠ΄ΠΏΡΠΈΡΠΌΡΡΠ² ΠΠΠ Π±Π°Π½ΠΊΡΠ²ΡΡΠΊΠΈΠΌΠΈ ΡΡΡΠ°Π½ΠΎΠ²Π°ΠΌΠΈ
ΠΠ΅ΡΠΎΡ ΡΡΠ°ΡΡΡ Ρ Π°Π½Π°Π»ΡΠ· Π΄ΠΈΠ½Π°ΠΌΡΠΊΠΈ ΡΠ½Π²Π΅ΡΡΠΈΡΡΠΉΠ½ΠΎΠ³ΠΎ ΠΊΡΠ΅Π΄ΠΈΡΡΠ²Π°Π½Π½Ρ Π±Π°Π½ΠΊΡΠ²ΡΡΠΊΠΈΠΌΠΈ ΡΡΡΠ°Π½ΠΎΠ²Π°ΠΌΠΈ ΠΏΠ΅ΡΠ΅ΡΠΎΠ±Π½ΠΈΡ
ΠΏΡΠ΄ΠΏΡΠΈΡΠΌΡΡΠ² Π°Π³ΡΠΎΠΏΡΠΎΠΌΠΈΡΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΡ. ΠΡΠ΄ ΡΠ°Ρ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½Ρ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ Π±ΡΠ»ΠΈ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Ρ Π°Π½Π°Π»ΡΡΠΈΡΠ½ΠΈΠΉ, ΡΡΠ°ΡΠΈΡΡΠΈΠΊΠΎ β Π΅ΠΊΠΎΠ½ΠΎΠΌΡΡΠ½ΠΈΠΉ, Π³ΡΠ°ΡΡΡΠ½ΠΈΠΉ, ΠΏΠΎΡΡΠ²Π½ΡΠ»ΡΠ½ΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈ ΡΠ° ΠΌΠ΅ΡΠΎΠ΄ ΡΠΈΡΡΠ΅ΠΌΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΡΠ·Ρ
Trends in Computer Network Modeling Towards the Future Internet
This article provides a taxonomy of current and past network modeling efforts. In all these efforts over the last few years we see a trend towards not only describing the network, but connected devices as well. This is especially current given the many Future Internet projects, which are combining different models, and resources in order to provide complete virtual infrastructures to users. An important mechanism for managing complexity is the creation of an abstract model, a step which has been undertaken in computer networks too. The fact that more and more devices are network capable, coupled with increasing popularity of the Internet, has made computer networks an important focus area for modeling. The large number of connected devices creates an increasing complexity which must be harnessed to keep the networks functioning. Over the years many different models for computer networks have been proposed, and used for different purposes. While for some time the community has moved away from the need of full topology exchange, this requirement resurfaced for optical networks. Subsequently, research on topology descriptions has seen a rise in the last few years. Many different models have been created and published, yet there is no publication that shows an overview of the different approaches.
A distributed topology information system for optical networks based on the semantic web
The research networking community has embraced novel network architectures to provide e-Science applications with dedicated connections instead of shared links. IP and optical services converge in these new infrastructures to form hybrid networks. Lightpaths are the services offered to clients in the optical portion of the network. They are chosen because they guarantee the appropriate QoS in terms of bandwidth and latency. NDL-the Network Description Language-is a data model offering users and providers of lightpaths with a common ontology to describe topology information of hybrid optical networks. The strength of NDL is that it supports a wide range of applications, including pathfinding, visualisation and asset management, via the definition of a common data model to exchange network descriptions. Since NDL is based on the Semantic Web techniques, it is straightforward to relate NDL with application-specific ontologies. In this paper we present the current status of the NDL schemas and its use in several applications
Effect of boiling point rankings and feed locations on the applicability of reactive distillation to quaternary systems
Reactive distillation (RD) offers major benefits such as costs reduction and energy saving, but the understanding and design of RD processes usually demand complex tasks that include extensive studies and rigorous simulations. To reduce this complexity and the time required, this study applies a novel mapping method to quickly provide insights into the RD applicability to reversible quaternary systems (A + B β C + D). Generic cases are used to produce applicability graphs (i.e. plots of reflux ratio vs number of theoretical stages) and multiple RD column configurations. The systems are assumed to have ideal properties and fixed key parameters (i.e. relative volatilities and chemical equilibrium constants). This study focuses on quaternary reactions considering different boiling point rankings and feed locations. Using the mapping method, quick results are achievable regarding the preliminary economic ranking of RD processes, and the optimal feed locations with reduced energy requirement (i.e. lower reflux ratio). Ultimately, this study provides a much better understanding of the effect of boiling point orders and feed locations on the RD applicability and conceptual design, being a valuable tool in early techno-economic evaluations
Cognitive processing of spatial relations in Euclidean diagrams
Health and self-regulatio
Universal intuitions of spatial relations in elementary geometry
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