Sentence examples for triangle belongs from inspiring English sources

Since each subgraph is edge-disjoint (Statement 1) and each triangle belongs to a unique subgraph (Statement 2), there cannot be a triangle-path between two different subgraphs.

The two meshes being mutually independent on (Omega_{1}capOmega_{2}) in the sense that a triangle belonging to one triangulation does not necessarily belong to the other one.

We assume that (tau^{h_{1}}) and (tau^{h_{2}}) are mutually independent on (Omega_{1}cap Omega_{2}), in the sense that a triangle belonging to (tau^{h_{i}}) does not necessarily belong to (tau^{h _{j}}), (ineq j).

We can express p i in terms of the barycentric coordinates of the triangle it belongs to: mathbf{p}_{i}=sumlimits_{j=1}^{3}mathit{a}_{ij}mathbf{v}_{j}^{[i]} (1) Fig. 1 A regular triangular mesh and barycentric coordinates.

no two subgraphs share a triangle, and thus triangles can belong to at most one subgraph.

To concentrate more on triangles not belonging to the 2D convex hull of the triangulation we iterate over all triangles and use each edge of each triangle to update the histogram.

To fix local distortion, image rectification is based on a linear mapping function computed from triangulations, and a self-adaptive scan filling algorithm is proposed to determine which triangle each pixel belongs to.

Each triangle in G belongs to a unique output subgraph.

Thus, each triangle in G belongs to a single subgraph.

Cell elongation is obtained as the average of the elongation tensors Q of those triangles that belong to a given cell.

Thus a scientific understanding of such a proposition, an understanding that displays the reason why any triangle has this property, must explain why this property belongs to triangles as such.