We study the discrete-to-continuum variational limit of antiferromagnetic XY model on two-dimensional triangular lattice in vortex regime. Within this regime, spin system cannot overcome energetic barrier chirality transitions, hence one two phases is prevalent. find order parameter that describes structure field majority phase and we compute explicitly $\Gamma$-limit scaled energy, showing it ...

This paper presents a method for computing thin layers of high-quality, triangular prisms that conform to surfaces that are specified as level sets of an implicit function. Triangular prisms are important in circumstances where volumetric meshes need to capture the geometries materials with thin layers–i.e. that are smooth relative to their thickness–or where, as in fluid mechanics simulations,...

In this paper we consider the existence of stable motions for a particle near the triangular points of the Earth-Moon system. To this end, we first use a simplified model (the socalled Bicircular Problem, BCP) that includes the main effects coming from the Earth, Moon and Sun. The neighbourhood of the triangular points in the BCP model is unstable, as happens in the real system. However, here w...

We present two algorithms to construct C1-smooth models of skeletal structures from CT/NMR voxel data. The boundary of the reconstructed models consist of a C1-continuous mesh of triangular algebraic surface patches. One algorithm first constructs Cl-continuous piecewise conic contours on each of the CT/NMR data slices and then uses piecewise triangular algebraic surface patches. to C1 interpol...

This paper presents a new version of fuzzy support vector machine to forecast the nonlinear fuzzy system with multi-dimensional input variables. The input and output variables of the proposed model are describedas triangular fuzzynumbers. Thenby integrating the triangular fuzzy theory andv-support vector regression machine, the triangular fuzzy v-support vector machine (TFv-SVM) is proposed. To...