Newton's algorithm for constructing univariate interpolation polynomial is well-known. In this paper, we generalize Newton's formula to multivariate Lagrange interpolation. For some type of subset ΧL, so-call...
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Newton's algorithm for constructing univariate interpolation polynomial is well-known. In this paper, we generalize Newton's formula to multivariate Lagrange interpolation. For some type of subset ΧL, so-called lower subset, of a tensor product grid, we present directly an interpolation basis of Newton type which spans a minimal degree interpolation space for Lagrange interpolation on ΧL. We show that this basis is always a Newton interpolation basis for arbitrary ordered set of point evaluation functionals.
Poyang Lake watershed mainly consists of Poyang Lake and its five sub-watersheds. Its wetlands, the largest bird habitat in Asia, play an important role in biodiversity and ecologic protection. With the rapid economic...
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ISBN:
(纸本)1892769530
Poyang Lake watershed mainly consists of Poyang Lake and its five sub-watersheds. Its wetlands, the largest bird habitat in Asia, play an important role in biodiversity and ecologic protection. With the rapid economic growth and urbanization, the wetlands in Poyang Lake area have been shrinking and face many environmental challenges. To better understand the environmental and ecologic changes of wetlands in the Poyang Lake watersheds, we applied RS/GIS techniques and a mathematical model in a study of the relationship between land use/cover changes and sediment load of the Poyang Lake watershed. RS classification was used to detect the land use/cover change, and a relational searching algorithm of spatial objects was proposed to improve the classification accuracy of wetlands. The driving forces for the land use/cover change were also analyzed. Soil erosion by water, as a big environmental problem, reflects the process of surface water related to non - point source pollution that influences water quality, the environment, and ecology of wetlands. In this study GIS and RS technologies are employed to predict annual soil loss. This work prioritizes erosion-prone areas which are important sources of sediment and highlights the severity of soil erosion in the watershed. SSC (suspended sediment concentration) data were collected for the study period. The relationships among land use/cover change, erosion area variations and SSC alterations are examined for the study period. The results show that the land use/cover change in the watershed lessen sediment sources and led to less SSC load to the wetland. The Poyang Lake is less impacted by the SSC in 2000 compared with 1991.
This paper deals with Hermite interpolation on nonuniform rectangular grids with constructive algebraic geometry tools. We focus on the UR (U = uniform, R = rectangular sets of nodes) Hermite interpolation schemes. Th...
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This paper deals with Hermite interpolation on nonuniform rectangular grids with constructive algebraic geometry tools. We focus on the UR (U = uniform, R = rectangular sets of nodes) Hermite interpolation schemes. The expressions of minimal degree interpolation bases for 2-dimensional real space 2 are presented. The method is simple and easy to be generalized.
This paper proposes a novel approach in integrating seemingly contradictory approaches of teaching and learning via collab.rative and personalised learning activities by using augmented reality museum exhibits. The pa...
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ISBN:
(纸本)9781627483308
This paper proposes a novel approach in integrating seemingly contradictory approaches of teaching and learning via collab.rative and personalised learning activities by using augmented reality museum exhibits. The paper highlights the benefits that computer supported collab.rative learning and computer supported personalised learning bring or promise to bring to the learner. A proposal is given for a study that will setup a common ground for these two approaches via a location-aware augmented reality museum display. The principal aim of the study is to investigate how the process of learning collab.ratively is intertwined with personalised experience of visiting the museum display. Ultimately, the result of the study will provide a new understanding of visitor's experience of museum displays, not only within the context of the museum's location, but also within the classroom where the visit truly begins and finishes.
The effort to personalise eLearning has led to the development of sophisticated Adaptive Hypermedia (AH) systems that can adapt to many aspects of the learner's characteristics or explicit preferences. However, wh...
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ISBN:
(纸本)9781627483308
The effort to personalise eLearning has led to the development of sophisticated Adaptive Hypermedia (AH) systems that can adapt to many aspects of the learner's characteristics or explicit preferences. However, while many of these adaptations are grounded in sound pedagogical theories, it is unclear how effective such adaptations are in supporting everyday teaching and learning processes that take place in the classroom today. This paper presents a study that explores what teachers in the UK, who have been named by their colleagues as implementing best-practice in the classroom, expect from an eLearning platform that can adapt to the individual needs of their students. The result of the study shows that there are currently some discrepancies between the teachers' expectations and what adaptive hypermedia currently offers. The paper then concludes by describing how these discrepancies can be addressed in future AH systems.
Web users use search engine to find useful information on the Internet. However current web search engines return answer to a query independent of specific user information need. Since web users with similar web behav...
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Fuzzy Cognitive Maps (FCMs) can represent and reason causal knowledge with stronger semantics. And the causal knowledge widely exists in knowledge Grid. To provide information services with stronger semantics in Knowl...
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This book constitutes the refereed proceedings of the 7th International Conference on knowledge Science, engineering and Management, KSEM 2014, held in Sibiu, Romania, in October 2014. The 30 revised full papers prese...
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ISBN:
(数字)9783319120966
ISBN:
(纸本)9783319120959
This book constitutes the refereed proceedings of the 7th International Conference on knowledge Science, engineering and Management, KSEM 2014, held in Sibiu, Romania, in October 2014. The 30 revised full papers presented together with 5 short papers and 3 keynotes were carefully selected and reviewed from 77 submissions. The papers are organized in topical sections on formal semantics; content and document analysis; concept and lexical analysis; clustering and classification; metamodeling and conceptual modeling; enterprise knowledge; knowledge discovery and retrieval; formal knowledge processing; ontology engineering and management; knowledge management; and hybrid knowledge systems.
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