A class of diamond-shaped combinatorial structures is studied whose enumerating generating functions satisfy differential equations of the form f2 “ Gpfq, for some function G. In addition to their own interests and being natural extensions of increasing trees, the study of such DAG-structures was motivated by modelling executions of seriesparallel concurrent processes; they may also be used in ...

We report on the synthesis of diamond shaped Ln(3+)-doped LiYbF4 (Ln = Tm and Er) nanocrystals with flat edges via the thermal decomposition method. Strong near-infrared emissions at 0.8 μm, 1.47 μm and 1.53 μm are observed from colloidal dispersions of Tm(3+)-doped and Er(3+)-doped LiYbF4 nanocrystals, respectively, under 0.98 μm diode laser excitation. The NIR emission intensities for Tm(3+)-...

In the title compound, [Na(C10H5ClN5)(H2O)2] n , infinite chains of [Na(H2O)2](+) cations having a diamond-shaped cross-section and running parallel to the b axis are formed. O-H⋯N hydrogen bonds to the anions generate layers parallel to (100) which have the chloro-benzene-cyano-ethenyl substituents protruding from both surfaces. The sodium ion makes a short contact of 2.4801 (13) Å with the N ...

A direct approach for the design of 2-D nonseparable diamond-shaped filter banks is proposed. The design goal is achieved by formulating the problem as an iterative quadratic programming problem in which the perfect reconstruction condition is incorporated in a weighted quadratic objective function. Satisfactory stopband attenuation is assured by imposing a set of constraints on the amplitude r...

Transformation optics can be used to design media with unique properties that alter the behavior of electromagnetic waves in passive space and recently in space containing source distributions. We present source transformations where current from a linear radiator is spread over a cylindrical shell with various cross sections. The semianalytic transformations are based on superellipse equations...

We present second-order accurate central finite volume methods adapted here to three-dimensional problems in ideal magnetohydrodynamics. These methods alternate between two staggered grids, thus leading to Riemann solver-free algorithms with relatively favorable computing times. The original grid considered in this paper is Cartesian, while the dual grid features either Cartesian or diamond-sha...

This paper proposes a new method for block motion estimation based on center-biased hybrid search (CBHS) that employ a hybrid of a compact X-shaped search and a diamond search. It has only 9 search points per block for the best case and, on average, 10.2 search points. CBHS is about 22.2 times faster than the fullsearch algorithm. This paper compares the popular suboptimal block-matching techni...

This article presents two applications of the nonlinear finite element analysis (FEA) using ABAQUS/Standard with a user developed material subroutine Nitinol UMAT from Abaqus West. The analyses are found to agree well with the theoretical prediction and/or experimental measurement. In that first example, FEA predicts the stress-strain response of a superelastic Nitinol device at different Af te...

We report a thermally activated metastability in a GaAs double quantum dot exhibiting real-time charge switching in diamond shaped regions of the charge stability diagram. Accidental charge traps and sensor backaction are excluded as the origin of the switching. We present an extension of the canonical double dot theory based on an intrinsic, thermal electron exchange process through the reserv...