New four coordinates are introduced which are related to the usual space-time coordinates. For these coordinates, the Euclidean four dimensional length squared is equal to the interval squared of the Minkowski space. The Lorentz transformation, for the new coordinates, becomes an SO(4) rotation. New scalars (invariants) are derived. A second approach to the Lorentz transformation is presented. ...

The title ionic complex [CoCl(NCS)(C2H8N2)2][Cr(NCS)4(NH3)2], which crystallizes as a non-merohedral twin, is build up of a complex cation [CoCl(NCS)(en)2](+) (en is ethane-1,2-di-amine) and the Reinecke's salt anion [Cr(NCS)4(NH3)2](-) as complex counter-ion. A network of N-H⋯S and N-H⋯Cl hydrogen bonds, as well as short S⋯S contacts [3.538 (2) and 3.489 (3) Å], between the NCS groups of the c...

OBJECTIVES The surgical target of Masticatory muscle tendon-aponeurosis hyperplasia (MMTAH) is the masseter or temporal muscle. In our clinic, the 4-dimentional muscle model (4DMM) has been used to decide if we should approach to the masseter or temporal muscle. The aim of this study is validate the clinical usefulness of 4DMM on the basis of the surgical results. METHODS The 4DMM was constru...

In a series of Hofmann-like spin crossover complexes, two new compounds, {Fe(3-F-4-Methyl-py)2[Au(CN)2]2} (1) and {Fe(3-Methyl-py)2[Au(CN)2]2} (2) (py = pyridine) are described. The series maintains a uniform 2-dimentional (2-D) layer structure of {Fe[Au(CN)2]2}. The layers are combined with another layer by strong aurophilic interactions, which results in a bilayer structure. Both coordination...

This study aims to produce two-dimentional geometri module based on the APOS theory for 4 th grader students is valid and feasible. research method development (R&D) using a 4D model (define, design, develop, disseminate). However, in this study, 3-D was modified, namely disseminate stage not carried out due limited time, energy, cost carrying research. The subject of Semarang State Islamic...

The paper studies a unit cell mismatch scrambling method for high-resolution unary DAC based on virtual 3-dimensional (3D) layout, to improve its spurious-free dynamic range (SFDR) communication applications. This can be implemented with relatively simple interconnections and circuits, compared that the 2-dimentional (2D) layout.