New three-dimensional (3D) lanthanide framework compounds supported by bridging thiocyanate ligand and K+ cations, K4[Ln(NCS)4(H2O)4](NCS)3(H2O)2(1: Ln = Dy, 2: Tb, 3: Gd) have been synthesized. A single-crystal X-ray diffraction study showed that all three were isostructural crystallized in the I 2/a space group. The ion form 2D layers with thiocyanates which are further linked [Ln(NCS)4(H2O)4...

Computations on two-dimensional arrays such as matrices and images are one of the most fundamental and ubiquitous things in computational science and its vast application areas, but development of efficient parallel programs on two-dimensional arrays is known to be hard. To solve this problem, we have proposed the skeletal framework on two-dimensional arrays based on the theory of constructive ...

A pinhole camera selects a two-dimensional set of rays from the four-dimensional light field. Pinhole cameras are a type of general linear camera, defined as planar 2D slices of the 4D light field. Cameras with finite apertures can be considered as the summation of a collection of pinhole cameras. In the limit they evaluate a two-dimensional integral of the four-dimensional light field. Hence a...

In the framework of noncompact Kaluza-Klein theory, we investigate a (4 + 1)dimensional universe consisting of a (4 + 1) dimensional Robertson-Walker type metric subject to a (4 + 1) dimensional energy-momentum tensor.