The current paper aims at spatial presentation in Cinque Terre. The purpose is to reconstruct digital products (maps, statistics, diagrams, and 3D models) and the spatial analysis of the five villages. The goals are the presentation of the geomorphology, geography, population, density, and area. Also, the Strength-Weakness-Opportunities-Threats (SWOT) analysis creates the disadvantages and advantages of the five villages in the region. The methodology is based on the software (G.I.S. Pro, QGIS, Zephyr 3D, Microsoft Excel, Generic Mapping Tool) and the bibliography study. For instance, the construction 3D terrain model shows the buildings, roads, green areas, and land cover of the five villages. The digital products help better “read” the region and emphasize the measurements and location of the region’s elements. The final results contain a message about new technologies and spatial planning. The new technologies have given spatial solutions in the last few years. The innovative, understanding, and attractive cartographical digital products present the geomorphology of the traditional villages in Cinque Terre.

In this paper, we introduce some certain fuzzy soft algebraic notions of generalized concepts in LA-Γ-semigroups and study some properties of their families.

Boron and tungsten carbides, B₄C and WC, are hard materials widely used in modern technologies. Further improvement of their performance characteristics involves the development of new B₄C and WC-based and/or related composites in a nanodispersed state. This article provides a review of available literature research on B-C-W systems, which would be useful in future studies in this direction.

The rare earth mining area in South China is the main production base of ionic rare earth in the world, which has brought inestimable economic value to the local area and even the whole nation. However, due to the lack of mining technology and excessive pursuit for economic profits, a series of environmental problems have arisen, which is a great threat to the ecosystem of the mining area. Taking Lingbei rare earth mining area in Ganzhou as an example, this paper discriminated and analyzed such aspects as the ecological source, ecological corridor and ecological nodes of the mining area based on the landscape ecological security pattern theory and the minimum cumulative resistance model (MCR) method, and constructed a landscape ecological security pattern of the mining area during the 2009, 2013 and 2018. The results show that: i) The patch area of the ecological source of rare earth mining area is small, mainly concentrated in the east and west sides of the mining area. ii) During the selected year, the ecological source area, ecological corridors, radiation channels and the number of ecological nodes in the rare earth mining area are increasing, indicating that the landscape ecological security of the rare earth mining area has been improved to some extent, but it remains necessary for relevant departments to make a optimized planning to further reconstruct the ecological security pattern of the rare earth mining area.

In this study, we define the unrestricted Pell and Pell-Lucas quaternions. We give generating functions, Binet formulas and some generalizations of well-known identities such as Vajda’s, Catalan’s, Cassini’s d’Ocagne’s identities.